Answer:
0.3 lbs. of meat per hamburger
Which choice is the most efficient first step to solve this set of equations?
Answer:
Option b) is correct
3x+4(2x+4)=17 Substitute (2x+4) for y in the second equation
Step-by-step explanation:
Given Equations are
[tex]y=2x+4\hfill (1)[/tex] and [tex]3x+4y=17\hfill (2)[/tex]
To solve the given equations we have to find the value of
x and y values.
Here y value is given so that we can substitute y=3x+4 value in second equation
ie., Substitute equation (1) in (2) equation we can easily get x value.
Therefore substitute (2x+4) for y in the second equation we get
3x+4(2x+4)=17
Option b) is correct
Laura sees a horse pulling a buggy. She wonders how it can accelerate if the action of the horse pulling the cart would causes an equal and opposite reaction of the cart pulling on the horse. Which explanation best answers her question
Answer:
The net forces exerted on the horse and cart are not the same, so they are not balanced forces.
Step-by-step explanation:
Please see the Newton's 2nd Law which states that an object accelerates if there is a net or unbalanced force on it. In this scenario there is just one force exerted on the wagon i.e: the force that the horse exerts on it. The wagon accelerates because the horse pulls on it. And the amount of acceleration equals the net force on the wagon divided by its mass.
As there are two forces the push and pull the horse; the wagon pulls the horse backwards, and the ground pushes the horse forward. The net force is determined by the relative sizes of these two forces.
If the ground pushes harder on the horse than the wagon pulls, there is a net force in the forward direction, and the horse accelerates forward, and if the wagon pulls harder on the horse than the ground pushes, there is a net force in the backward direction, and the horse accelerates backward.
If the force that the wagon exerts on the horse is the same size as the force that the ground exerts, the net force on the horse is zero, and the horse does not accelerate.
Answer:
The net forces exerted on the the horse and cart are not the same, so they are not balanced forces.
Step-by-step explanation:
According to Newton's 2nd Law, an object accelerates if there is a net or unbalanced force on it. For a body to accelerate, two factors are involved which are the mass of the object and the net force acting upon the body. In this situation, there is just one force exerted on the cart i.e: the force that the horse exerts on it. The cart accelerates because the horse pulls on it. The amount of acceleration can be calculated by dividing the net force on the cart by its mass.
In this scenario, we can clearly see the actions of the pull and push forces. The pull force brings an object closer while the push moves an object away from something. The cart pulls the horse backwards, and the ground pushes the horse forward. They both work in opposite directions. The net force is determined by the relative sizes of these two forces.
If the push force is greater(i.e the ground pushes harder on the horse than the cart pulls), then there is a net force in the forward direction, and the horse accelerates forward. But if the pull force is greater( the cart pulls harder on the horse than the ground pushes), then there is a net force in the backward direction, and the horse accelerates backward.
If the force that the cart exerts on the horse is the same size as the force that the ground exerts, the net force on the horse is zero, and the horse does not accelerate.
Subtract the following.Write your answer in standard notation. 15 - 1.3 * 10^-3
Answer:
The Final Answer would be 14.9987.
Step-by-step explanation:
Given:
[tex]15-1.3\times 10^-3[/tex]
We need to Subtract the above number.
Since the larger number is standard Notation form and smaller number is in Scientific notation form
So first we will convert the Scientific notation Number in standard Notation form we get;
[tex]1.3\times 10^-3 = 0.0013[/tex]
Now Subtracting the smaller Number from larger number we get;
[tex]15-0.0013 = 14.9987[/tex]
Hence The Final Answer would be 14.9987.
Rashid has been purchasing bonds from a company that has recently gotten poor ratings for its ability to pay Its vendors. As a resu
Increased risk, the bond's interest rate has increased. What type of risk does Rashid face as an Investor?
A
taxability risk
• B.
Inflationary risk
C.
currency risk
D.
credit risk
Answer:
The answer is letter D, credit risk.
Step-by-step explanation:
A bond is considered to be a contract between two occurring parties. It allows companies to borrow money from people (investors). These investors purchase the bond and are given a certain interest for a particular period of time. The rate varies according to the economic situation or the company's standing. This affects the supply and demand for the bond.
Remember that the price of the bond and the interest rate are indirectly proportional. This means that as the price of the bond increases, the interest rate decreases and vice-versa.
In the situation above, Rashid is facing a credit risk as an investor. He has been purchasing bonds from a company that has recently gotten a poor rating. This means that the company is not performing well. This can affect the amount of money (including the interest) that will be paid back to Rashid. There is a chance that some of the amount of money he invested will not be returned to him. It was also mentioned that the bond's interest rate has increased. This means that the bond prices will decrease and thus the number of bond investors will also decrease. The issuer of the bond in this situation can have a hard time paying the investor back.
Answer:
D
Step-by-step explanation:
The expression above should be further simplified for which value of x?
Sq rt 215x
A) 35
B) 118
C) 34
D) 7
The expression √215x should be further simplified for (a) 35 as the value of x
How to determine the value of x
From the question, we have the following parameters that can be used in our computation:
√215x
Taking each value of x from the list of options, we have
√215x = √(215 * 35)
Expanding, we get
√215x = √(5 * 43 * 7 * 5)
This gives
√215x = 5√301
Next, we have
√215x = √(215 * 118)
Expanding, we get
√215x = √(5 * 43 * 2 * 59)
This gives
√215x = √(25370)
Next, we have
√215x = √(215 * 34)
Expanding, we get
√215x = √(5 * 43 * 2 * 17)
This gives
√215x = √7310
Next, we have
√215x = √(215 * 7)
Expanding, we get
√215x = √(5 * 43 * 7)
This gives
√215x = √1505
Hence, the value of x is 35
Multiply and simplify (x-9)(x-3)
Answer:
x2-12x+3
Step-by-step explanation:
=x(x-3)-9(x-3)
=x2-3x-9x+3
=x2-12x+3
HOPE IT HELPS U.............
Beverley is buying hot dogs and hot dog buns for a picnic. She wants to buy one got dog for each bun with none left over. The hot dogs come packed 12 in a package. The buns come packed 8 in a package. What is the least amount of each beverly needs to buy? How many packages of each item would she buy?
Answer:
Number of hot dog packets = [tex]\frac{24}{12}[/tex] = 2
Number of bun packets = [tex]\frac{24}{8}[/tex] = 3
Step-by-step explanation:
Beverley is buying hot dogs and hot dog buns for a picnic. She wants to buy one got dog for each bun with none left over. The hot dogs come packed 12 in a package. The buns come packed 8 in a package.
We have to find the lowest common multiple of 8 and 12 and from observation we can see that it is 24.
So Beverly would have to buy around 24 pieces of hot dogs and buns.
Number of hot dog packets = [tex]\frac{24}{12}[/tex] = 2
Number of bun packets = [tex]\frac{24}{8}[/tex] = 3
Answer:
Beverly would have to buy around 24 pieces of hot dogs and buns.
Step-by-step explanation:
same hope this help
The point (2, 3) is in which quadrant?
A garden centre has reduced the price of all plant pots by 20%. Jane bought a reduced plant pot for £40. How much would she have paid for this plant pot before the price reduction?
She paid 80% of the regular price because it was 20% off so...
80% = £40
We want to get to the regular price (100%) so...
100% = £40 x 100/80 = £50
answer: £50
Answer:he paid 80% of the regular price because it was 20% off so...
80% = £40
We want to get to the regular price (100%) so...
100% = £40 x 100/80 = £50
answer: £50
Step-by-step explanation:
What type of dilation is described with equation below
Contraction. It gets smaller as the image is shrunk. It will be a fraction of the original triangle.
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12-2/3x=x-18 so how do you answer this question
Answer:
Step-by-step explanation:
I think I've already answered this question.
The ratio of boys to girls in a math class is 18 to 11. Is that proportional to the science class with a ratio of 16 girls to 14 boys?
Question 10 options:
154 ≠ 288
224 ≠ 198
176 ≠ 252
Answer:
The ratio of boys to girls in a math class is not proportional to the ratio of boys to girls in a science class
154=288
Step-by-step explanation:
Let
x ----> the number of boys
y ----> the number of girls
we know that
The ratio of boys to girls is x/y
we have
Math class
[tex]\frac{x}{y}=\frac{18}{11}[/tex]
Science class
[tex]\frac{x}{y}=\frac{14}{16}[/tex]
equate both ratios
[tex]\frac{14}{16}=\frac{18}{11}[/tex]
Multiply in cross
[tex]14(11)=18(16)[/tex]
[tex]154=288[/tex] ----> is not true
therefore
The ratio of boys to girls in a math class is not proportional to the ratio of boys to girls in a science class
what is the distance from 10 To 0
Answer:
10
Hope this helps :)
Answer:
rthw aeenser is 20
Step-by-step explanation:
Dr. Johnson treated 1134 patients in 63 days.
About how many patients did she treat each day on the average?
Answer:
Dr. Johnson treated about 18 patients a day.
Step-by-step explanation:
1134 ÷ 63 = 18
On average, Dr. Johnson treated 18 patients each day.
Why?
1134/63=18
I hope this helped! If so, please mark brainliest!
Zachary can spend no more than $94 per day to rent a car. A car rents for $30 per day plus $0.20 per mile. Write an inequality for this situation. Graph the solutions on a number line. What does the graph show
Answer:
$124.20 miles all you gotta do is add them together
Step-by-step explanation:
Simon took out an unsubsidized student loan of $43,000 at a 2.4% APR,
compounded monthly, to pay for his last six semesters of college. If he will
begin paying off the loan in 33 months with monthly payments lasting for 20
years, what will be the amount of his monthly payment?
The amount of Simon's monthly payment, rounded to the nearest cent, is approximately $240.17.
To calculate the monthly payment for Simon's loan, we need to use the formula for an annuity, which is derived from the amortization formula for loans. The formula to find the monthly payment (M) is:
[tex]\[ M = \frac{P \times r \times (1 + r)^n}{(1 + r)^n - 1} \][/tex]
where:
- [tex]\( P \)[/tex] is the principal amount of the loan ($43,000)
- [tex]\( r \)[/tex] is the monthly interest rate (APR divided by 12)
- [tex]\( n \)[/tex] is the total number of payments (20 years times 12 months per year)
First, we need to convert the annual percentage rate (APR) to a monthly interest rate by dividing by 12:
[tex]\[ r = \frac{2.4\%}{12} = \frac{0.024}{12} = 0.002 \][/tex]
Next, we calculate the total number of payments:
[tex]\[ n = 20 \text{ years} \times 12 \text{ months/year} = 240 \text{ months} \][/tex]
Now we can plug these values into the formula:
[tex]\[ M = \frac{43000 \times 0.002 \times (1 + 0.002)^{240}}{(1 + 0.002)^{240} - 1} \][/tex]
[tex]\[ M = \frac{43000 \times 0.002 \times (1.002)^{240}}{(1.002)^{240} - 1} \][/tex]
Using a calculator, we find:
[tex]\[ (1.002)^{240} \approx 1.558 \][/tex]
Now we can calculate the monthly payment:
[tex]\[ M = \frac{43000 \times 0.002 \times 1.558}{1.558 - 1} \][/tex]
[tex]\[ M = \frac{43000 \times 0.002 \times 1.558}{0.558} \][/tex]
[tex]\[ M = \frac{134.034}{0.558} \][/tex]
[tex]\[ M \approx 240.17 \][/tex]
Therefore, the amount of Simon's monthly payment, rounded to the nearest cent, is approximately $240.17.
Answer:
241.16
Step-by-step explanation:
The table shows the average cost, in dollars, of a movie ticket in the United States for different years. Calculate the correlation coefficient. Round to the nearest hundredth.
Year Cost
1948 0.36
1963 0.86
1974 1.89
1978 2.34
1985 3.55
1991 4.21
1997 4.59
2005 6.41
2010 7.89
0.12
0.96
0.93
1
Answer:
The correlation coefficient is 0.96
Step-by-step explanation:
The Given Table showing year and cost:
Year Cost
1948 0.36
1963 0.86
1974 1.89
1978 2.34
1985 3.55
1991 4.21
1997 4.59
2005 6.41
2010 7.89
Regression table:
Regression table can be made if we rewrite the year column by associating
1948 with 0, and the years after 1948 to be associated with the number of years after 1948. For example, if 1948 is associated with 0, then 1963 would come after 15 years, hence 1963 would be represented by 15, and with the same way, we can associate other years as well. Have a look:
Year (X) Cost (Y) X² XY
0 0.36 0 0
15 0.86 225 12.9
26 1.89 676 49.14
30 2.34 900 70.2
37 3.55 1369 131.35
43 4.21 1849 181.03
49 4.59 2401 224.91
57 6.41 3249 365.37
62 7.89 3844 489.18
∑X= 319 ∑Y= 32.1 ∑X²= 14513 ∑XY= 1524.08
As the correlation coefficient (r) can be determined as follows:
r = n (∑ XY) - (∑X) (∑Y) ÷ √[n(∑X²)-(∑Y)²][n(∑Y²)-(∑Y)²]
But, we need an additional column Y²
So,
Y²
0.1296
0.7396
3.5721
5.4756
12.6025
17.7241
21.0681
41.0881
62.2521
∑Y² = 164.6518
As,
r = n (∑ XY) - (∑X) (∑Y) ÷ √[n(∑X²)-(∑Y)²][n(∑Y²)-(∑Y)²]
So,
r = 9 (524.08) - (319)(32.1) ÷ √[9(14513 )-(319)²][9(164.6518)-(32.1)²]
[tex]r = \frac{3476.82}{\sqrt{(28856)(451.4562)}}[/tex]
[tex]r = \frac{3476.82}{\sqrt{(13027220.11)}}[/tex]
[tex]r = \frac{3476.82}{\sqrt{(3609.32)}} = 0.96[/tex]
So, the correlation coefficient is 0.96.
Keywords: correlation coefficient
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1) Luis uses 1.6 liters of gasoline each hour he
spends mowing lawns. How much gas does he
use in 5.8 hours?
Answer:
9.28 Liters
Step-by-step explanation:
All we have to do is multiply the time by amount her time unit.
what is the distance between the y-intercept and the x-intercept of the line whose equation is y=3x+12
The distance between the y-intercept and the x-intercept of the line is 12.64911 units or [tex]\sqrt{160}[/tex] units
Solution:
Given equation is y = 3x + 12
We have to find the distance between y-intercept and the x-intercept of the line whose equation is y = 3x + 12
Let us first find the x - intercept and y - intercept
The x-intercept is the point at which the line crosses the x-axis. At this point, the y-coordinate is zero.
The y-intercept is the point at which the line crosses the y-axis. At this point, the x-coordinate is zero
Finding x - intercept:
To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'.
Substitute y = 0 in given equation
y = 3x + 12
0 = 3x + 12
3x = -12
x = -4
Thus the x - intercept is (-4, 0)
Finding y - intercept:
To find the y-intercept, plug 0 in for 'x' and solve for 'y'
Substitute x = 0 in given equation
y = 3x + 12
y = 3(0) + 12
y = 12
Thus the y - intercept is (0, 12)
Now let us find the distance between x intercept and y intercept
Distance between two points [tex]P(x_1, y_1) \text{ and } Q(x_2, y_2)[/tex] is given by:
[tex]d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}[/tex]
Here the distance between (-4, 0) and (0, 12) is given as:
[tex]\begin{aligned}&d=\sqrt{(0-(-4))^{2}+(12-0)^{2}}\\\\&d=\sqrt{4^{2}+12^{2}}\\\\&d=\sqrt{16+144}=\sqrt{160}\\\\&d=12.64911\end{aligned}[/tex]
Thus the distance between the y-intercept and the x-intercept of the line is 12.64911 units or [tex]\sqrt{160}[/tex] units
The y-intercept of the line y=3x+12 is (0,12) and the x-intercept is (-4,0). The distance between these two points is approximately 12.65 units.
Explanation:The equation given is y=3x+12. The x-intercept is the point where the line crosses the x-axis (where y=0), and the y-intercept is where the line crosses the y-axis (where x=0).
For the y-intercept, we simply replace x with 0, so y = 3(0) + 12 = 12. Thus, the y-intercept is (0,12).
For the x-intercept, we replace y with 0, so 0 = 3x + 12. Solving this equation for x gives x = -4. Thus, the x-intercept is (-4,0).
The distance between two points in the coordinate plane is given by the formula √[(x2-x1)² + (y2-y1)²]. Therefore, the distance between the x-intercept and the y-intercept is √[(-4-0)² + (0-12)²] = √(16 + 144) = √160 = 12.65.
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If value of x is 5, help me solve the area of this geometry figure :)
Answer:
102
Step-by-step explanation:
X=5 so from A to E is 5. 5 squared is 25 plus 4 = 29 then add 29 to 5 you get 34. Then multiply 34 times 6 you get 204 then divide by 2 because area of triangle is base times height divided by 2 you get 102.
a 2015 Gallup poll of 1,627 adults found that only 22% felt fully engaged with their mortgage provider ?
1. Population: All adults with a mortgage provider.
2. Sample size: 1,627.
3. Margin error: Approximately 0.02.
4. Confidence interval (95%): 0.204 to 0.236
5. Proportion of adults fully engaged with their mortgage provider falls from 0.204 to 0.236.
Given that,
Gallup poll conducted in 2015
Sample size: 1,627 adults
Population: All adults with a mortgage provider
Percentage of adults who felt fully engaged with their mortgage provider: 22%
Confidence level: 95%
1. Population: All adults who have a mortgage provider.
2. Sample size: 1,627 adults.
3. Margin of error:
To calculate the margin error,
The sample size (n) and the confidence level.
Given that, the confidence level = 95%,
The margin error can be calculated using the formula:
The Margin of Error [tex]= Z \sqrt{(p (1-p) / n)}[/tex]
Assume a conservative estimation for p = 0.5 (since we don't have the sample proportion), and using a Z-value of 1.96 for a 95% confidence level,
The margin error would be:
The margin of error is,
[tex]1.96\sqrt{(0.5 (1-0.5) / 1627)} \approx 0.02[/tex]
Therefore, the 95% margin error is approximately 0.02.
4. 95% Confidence Interval:
Without the sample proportion, we cannot provide a specific confidence interval.
Assume a conservative estimate of p = 0.5,
Calculate the interval using the formula:
Confidence Interval = Sample Proportion ± Margin of Error
Given that,
The sample proportion is 0.22
The margin error is 0.016,
The 95% of the confidence interval is,
0.22 ± 0.016 = 0.24 or 0.2
5. Expressing the answer in a meaningful sentence:
With a 95% confidence level,
It can be estimated that the proportion of adults who feel fully engaged with their mortgage provider falls between 0.2 to 0.24.
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The complete question is:
A 2015 Gallup poll of 1627 adults found that only 22% felt fully engaged with their mortgage provider. 1. What is the population? 2. What is the sample size? 3. What is the 95% margin of error? 4. What is the 95% confidence interval? 5. Express your answer to 4 in a meaningful sentence.
Degrees Celsius can be converted to degrees Fahrenheit by multiplying 1 and 4/5 and adding 32 degrees C what is 15 degrees C in Fahrenheit
Answer:
15C is 59F
Step-by-step explanation:
As an equation, F = (1 4/5)C + 32. 1 and 4/5 is the same as 9/5.
Substitute 15 for C.
F = (9/5)C + 32
F = (9/5)(15) + 32 Multiply 15 by the top number in 9/5
F = 135/5 + 32 Convert 32 to a fraction over 5
F = 135/5 + 160/5 Add the numerators under the same denominator
F = 295/5 Divide
F = 59 Degrees in Farenheit
Therefore 15°C is 59°F.
How do you find the least common multiple or the lcm of 10 and 8
Answer:
40
Step-by-step explanation:
Least common multiple (lcm) = the smallest multiple that both numbers have.
Let's figure it out.
10 = 2 x 5
8 = 2 x 2 x 2
the ones I have highlighted, we will multiply them all together, except for a 2.
we didn't multiply one of the 2's because they both have a two, so we only keep one of them.
so it is 2 x 5 x 2 x 2
let me say it again, because they both share a same 2, that one is eliminated.
so the answer is 40 because:
2 x 5 x 2 x 2
= 10 x 4
= 40
Answer:
Step-by-step explanation:
list the multiples of 8 and 10 and mark wich one is the lowest number
Ollie used 852 heads to make 4 bracelets he put the same number of beads on each bracelet how many beads does each bracelet have
Answer: 213
Step-by-step explanation:
852/4 = 213
Answer:
213
Step-by-step explanation:
852/4 = 213
He is splitting 852 beads into 4 bracelets (groups)
Write a linear equation that gives the rule for this table.
x y
1 24
2 48
3 72
Equation :
Answer:
y=24x
Step-by-step explanation:
(48-24)/(2-1)=24/1
24=24(1)+b
24=24+b
b=0
The linear equation with points (1, 24), (2, 48), and (3, 72) is y = 24x.
What are linear and non-linear functions?A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.
Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.
An example of a non-linear function is a quadratic function.
From the table,
At x = 1, y = 24 ⇒ (1, 24).
At x = 2, y = 48 ⇒ (2, 48).
At x = 3, y = 72 ⇒ (3, 72).
Therefore the linear equation representing the table is y = 24x.
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f h(x) = 6 – x, what is the value of (h circle h) (10)?
Answer:
Step-by-step explanation: when h(x) = 10
h(x)= 6-x
h(10)= 6-10
=-4
If x+y=11 and xy=15, find the value of x^2 + y^2
There is actually some tactics to this. I tried to find x and y first but they are very messy numbers but...
We know...
(x+y)²=x²+2xy+y²
In this case, (x+y)² = 11² = 121.
So, x²+2xy+y²=121
We also know that xy=15 and furthermore that 2xy=30.
x²+y² = 121-30 = 91
answer: 91
The value of x^2 + y^2 is 91.
To find the value of x^2 + y^2 given that x+y=11 and xy=15, we can use algebraic identities. We will use the fact that (x+y)^2 = x^2 + 2xy + y^2. We know that x+y=11, so (x+y)^2 = 11^2 = 121. Also given is xy=15, which we'll use in the identity mentioned.
Now, let's substitute the values into the identity:
(x+y)^2 = x^2 + 2xy + y^2
121 = x^2 + 2(15) + y^2
121 = x^2 + 30 + y^2
121 - 30 = x^2 + y^2
91 = x^2 + y^2
Which of the following are NOT vector directions?
A. 35 degrees north of east
B. north
C. outside 45 degrees
D. 35 degrees inside
Final answer:
The correct answer is C. outside 45 degrees. In this question, we are asked to identify which directions are NOT vector directions. Options A, B, and D all describe vector directions, but option C does not.
Explanation:
The correct answer is C. outside 45 degrees.
In this question, we are asked to identify which directions are NOT vector directions. A vector direction is a specific direction or angle that describes the orientation of a vector.
Options A, B, and D all describe vector directions:
A. 35 degrees north of east: This describes a vector direction that is 35 degrees north of the east direction.
B. north: This is a vector direction that points directly north.
D. 35 degrees inside: This describes a vector direction that is 35 degrees inside the reference angle.
Option C, outside 45 degrees, does not describe a specific vector direction. It is not clear whether the direction is outside 45 degrees to the left or right. Therefore, option C is NOT a vector direction.
(10x - 17)
(6y + 29)\(8x + 1)
the product of (10x - 17) and (6y + 29)(8x + 1) is:
[tex]\[ 480xy^2 - 756xy + 2320x^2 - 3654x - 102y - 493 \][/tex]
you want to multiply the expressions (10x - 17) and (6y + 29)(8x + 1). Let's proceed with the multiplication:
First, distribute (6y + 29) into (8x + 1):
[tex]\[ (6y + 29)(8x + 1) = 6y \cdot 8x + 6y \cdot 1 + 29 \cdot 8x + 29 \cdot 1 \]\[ = 48xy + 6y + 232x + 29 \][/tex]
Now, multiply the result by (10x - 17):
[tex]\[ (10x - 17)(48xy + 6y + 232x + 29) \]\[ = 10x \cdot (48xy + 6y + 232x + 29) - 17 \cdot (48xy + 6y + 232x + 29) \]\[ = 480xy^2 + 60xy + 2320x^2 + 290x - 816xy - 102y - 3944x - 493 \]\[ = 480xy^2 - 756xy + 2320x^2 - 3654x - 102y - 493 \][/tex]
So, the product of (10x - 17) and (6y + 29)(8x + 1) is:
[tex]\[ 480xy^2 - 756xy + 2320x^2 - 3654x - 102y - 493 \][/tex]
The probable question maybe:
multiply the expressions (10x - 17) and (6y + 29)(8x + 1).
The product of (10x - 17) and (6y + 29)(8x + 1) is: = [tex]\[ 480xy^2 - 756xy + 2320x^2 - 3654x - 102y - 493 \][/tex]
You have to multiply the expressions (10x - 17) and (6y + 29)(8x + 1). Let's proceed with the multiplication:
First, distribute (6y + 29) into (8x + 1):
[tex]\[ (6y + 29)(8x + 1) = 6y \cdot 8x + 6y \cdot 1 + 29 \cdot 8x + 29 \cdot 1 \]\[[/tex]
= 48xy + 6y + 232x + 29
Now, multiply the result by (10x - 17):
[tex]\[ (10x - 17)(48xy + 6y + 232x + 29) \]\\\\ = 10x \cdot (48xy + 6y + 232x + 29) - 17 \cdot (48xy + 6y + 232x + 29) \]\\\\ = 480xy^2 + 60xy + 2320x^2 + 290x - 816xy - 102y - 3944x - 493 \]\\\\ = 480xy^2 - 756xy + 2320x^2 - 3654x - 102y - 493 \][/tex]
So, the product of (10x - 17) and (6y + 29)(8x + 1) is:
[tex]\[ 480xy^2 - 756xy + 2320x^2 - 3654x - 102y - 493 \][/tex]
The complete question is:
Multiply the expressions (10x - 17) and (6y + 29)(8x + 1).
If g = 3, evaluate (solve) the following expression. 2g + 7= _____
Answer:
13.
Step-by-step explanation:
2g + 7
= 2(3) + 7
= 6 + 7
= 13.
Answer: 13
Step-by-step explanation: In this problem, we have the xpression 2g + 7 and we want to evaluate the expression when g is equal to 3.
To evaluate an expression, we simply plug the value of the variable into the expression and solve. So here, since g is equal to 3, we have 2 (3) + 7. 2 × 3 is equal to 6 so we have 6 + 7 which is equal to 13.
So the value of our expression when g is equal to 3 is 13.
Remember, when we see a variable like g next to a number, it means multiplication so you want to multiply by the value of the variable.