8(2x- 6)= 96 solve for x
Answer:
x=9
Step-by-step explanation:
To solve, simplify the equation them isolate x.
8(2x- 6) = 96 Distribute over brackets by multiplying
16x - 48 = 96 Add 48 to both sides
16x = 144 Divide both sides by 16
x = 9 Final answer
solve 4x + 18=24 what is x equal to
Answer:
x=3/2
Step-by-step explanation:
4x+18=24
4x=24-18
4x=6
x=6/4
simplify
x=3/2
Answer: 4x+18=24
First move 18 to other side (24-18), left with 4x=6
Divide both sides by 4 to be left with x=6/4 & reduce that fraction down to 3/2
Step-by-step explanation:
whar is 10.034 rounded to the nearest tenth
Answer: 10.0
Step-by-step explanation: In this problem, we are asked to round 10.034 to the nearest tenth. It's important to understand that the tenths place is 1 place to the right of the decimal point. So the digit in the rounding place is 0.
Next, look at the digit to the right of the rounding place which in this case is 3. Since the digit to the right of the rounding place, 3, is less than 5, we round down.
This means that the digit in the rounding place, 0, stays the same and we change all digits to the right of the rounding place to 0.
So 10.034 rounded to the nearest tenth is 10.000 or just 10.0 since we can drop zeroes at the end of a decimal.
Emily Runs 10 ft./s Jake runs 334 feet and 26 seconds Katie runs 1 mile in 596 seconds and Stephanie runs 580 feet in one minute who runs the fastest
Jake runs fastest
Step-by-step explanation:
The given is:
Emily Runs 10 ft./sJake runs 334 feet in 26 secondsKatie runs 1 mile in 596 secondsStephanie runs 580 feet in one minuteWe need to find who runs fastest
To solve the problem we must to find the unit rate of each one in feet per second
∵ Jake runs 334 feet and 26 seconds
- To find the unite rate divide 334 feet by 26 seconds
∴ Jake's rate = 334 ÷ 26 = 12.85 ft./s
∵ Katie runs 1 mile in 596 seconds
- Change the mile to feet
∵ 1 mile = 5280 feet
∴ Katie runs 5280 feet in 596 seconds
- To find the unite rate divide 5280 feet by 596 seconds
∴ Katie's rate = 5280 ÷ 596 = 8.86 ft./s
∵ Stephanie runs 580 feet in one minute
- Change the minute to seconds
∵ 1 minute = 60 second
∴ Stephanie runs 580 feet in 60 seconds
- To find the unite rate divide 580 feet by 60 seconds
∴ Stephanie's rate = 580 ÷ 60 = 9.67 ft./s
∵ Emily's rate is 10 ft./s
∵ Jake's rate is 12.85 ft./s
∵ Katie's rate is 8.86 ft./s
∵ Stephanie's rate is 9.67 ft./s
- The fastest one who has the greatest rate
∵ Jake's rate is the greatest
∴ Jake runs the fastest
Jake runs fastest
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Miguel bought 6 cos that were each the same price. Including sales tax, he paid a total of $99.60. Each CD had a tax of $1.30. What was the price of each CD
before tax?
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Answer:
The price of each CD before tax was $15.30.
Step-by-step explanation:
Given:
Miguel bought 6 CDs that were each the same price.
Including sales tax, he paid a total of $99.60.
Each CD had a tax of $1.30.
Now, to find the price of each CD before tax:
So, to get the price of 1 CD including tax by using unitary method:
Total price of 6 CDs including tax = $99.60.
So, the price of 1 CD including the sales tax = $99.60 ÷ 6 = $16.60.
Thus, the price of each CD including tax = $16.60.
Tax on each CD = $1.30.
Now, by subtracting we get the price of each CD before tax:
[tex]\$16.60-\$1.30[/tex]
[tex]=\$15.30.[/tex]
Therefore, the price of each CD before tax was $15.30.
A recipe for 8 apple dash cinnamon muffins calls for 1 cup of flour. The number of muffins that can be made varies directly with the amount of flour used. There are 1 and three fourths cups of flour available. How many muffins can be made?
Answer:
you can make 14 muffins
Step-by-step explanation:
To get this answer you first need to know that 1 cup makes 8 muffins. Next know that there's 1 3/4 cups of flour. Because you know that 1 cup makes 8 muffins you need to figure out how many muffins 3/4 a cup of flour can make. To do this you divide 8 by 4. Hence 8 divided by 4 is 2. So know you know that for every 1/4 cup you can make 2 muffins. Now since there's 3/4 cup of flour you then multiply 2 by 3 which is 6. Now you have to add 1 cup ( 8 muffins) to 3/4 cup ( 6 muffins ) of flour which then equals 14. You then get the answer , 1 3/4 cups of flour can make 14 muffins. Hope this helped ;)
A home has an original value of $249,000.each year,the value of the home decreases by 7.1 what equation models the solution after t years?
Answer:
The value of home after t years is $249,000 [tex](0.929)^{\textrm t}[/tex]
Step-by-step explanation:
Given as :
The original value of home = p = $249,000
The value of home depreciate every year at rate = r = 7.1%
Let The value of home after t years = A
Now, According to question
The value of home after t years = original value of home × [tex](1-\dfrac{\textrm rate}{100})^{\textrm time}[/tex]
Or, A = p × [tex](1-\dfrac{\textrm r}{100})^{\textrm t}[/tex]
Or, A = $249,000 × [tex](1-\dfrac{\textrm 7.1}{100})^{\textrm t}[/tex]
Or, A = $249,000 × [tex](0.929)^{\textrm t}[/tex]
So,The value of home after t years = A = $249,000 [tex](0.929)^{\textrm t}[/tex]
Hence,The value of home after t years is $249,000 [tex](0.929)^{\textrm t}[/tex] . Answer
Lines and are parallel. The slope of line is 1/3. What is the slope of line ?
Answer:
1/3
Step-by-step explanation:
Because parallel lines have the same slopes.
If f(x) = x2 – 2 and g(x)=x-3, what is (fog)(x)?
So first we have to know what (fog)(x) means. Whenever we have the notation (fog)(x) or (gof)(x) or whatever variables (hof)(c) it means that we put the function closest to the x in the other function.
Basically for (fog)(x) this means put g(x) in f(x)
For (hof)(c) this means put f(c) in h(c)
For (gof)(x) this means put f(x) in g(x)
So now we can proceed with the problem.
f(x) = x^2 - 2 (I assume you wrote x squared) and g(x) = x - 3. Find (fog)(x)
So we are going to put g(x) in f(x). So wherever there is an x in f(x) we are gonna replace that with x -3:
f(g(x)) = (x-3)^2 - 2
If we want we can foil this out:
(x-3)(x-3) - 2
x^2 - 6x + 9 -2
or x^2 - 6x + 7
So: (fog)(x) = x^2 - 6x + 7
*If you meant 2x the process is the same but will give you a different answer*
Please I need help on #3
Answer:
36 movies
Step-by-step explanation:
16/4=4 this shows that there are 4 4s in 16.
Because every 4 video games 9 movies are rented so 4*9=36 for the answer
4 glue sticks cost $7.76. Which equation would help determine the cost of 13 glue sticks?
Answer:($7.76/4)x 13
Step-by-step explanation: There is no way to start from the price of 4 glue sticks. So, you have to find the unit rate. The unit rate is the cost of 1 of the items. For example, if 8 apples was $5.65, you have to find out what 1 apple cost so you can buy as many apples you want, not just 8. After finding the unit rate, multiply the unit rate by 13. Back to the apple example, if I did not want 8 apples but 15, and I want to know what the price is before I go up to the counter to buy it, I would multiply the unit rate by how much I want.
Also, the answer to ($7.76/4)x 13 is $25.22. The unit rate was $1.94.
What is solution to equation ? 4x + 5 = -3
Answer:
x=-2
Step-by-step explanation:
Solve for x:4x (+ 5-5) = -3-5
4x = -8
4x/4 = -8/4
x=-2
Checking Answer:4(-2) + 5= -3
-8 + 5 = -3
-3 = -3
Answer is Correct.
Answer:
[tex] \: \: \: \: \: \: 4x + 5 = - 3 \\ = > 4x = -3 - 5 \\ = > 4x = - 8 \\ = > x = \frac{ - 8}{4} \\ = > x > - 2[/tex]
Which of the following will help you reach long term goals?
A.Breaking big goals into smaller ones
B.Writing down your goals
C.Taking care of your physical and mental health
D.All of the above
Answer:
D
Step-by-step explanation:
If you Break the bigger ones into smaller ones they will seem more attainable. Writing down your goals will help you remember. Taking care of resell will help you attain your goals faster and easier
Simplify x0y-3/x2y-1
Answer:
For x: We subtract the exponents,
this way. 0 - 2 = -2
For y: We subtract the exponents,
this way. -3 - -1 = -2
x -² y -²
CAN ANYONE HELP PIZZ FAST
The figure/drawing isn't needed to answer this question.
The question tells us ABCD ~ WXYZ, which means trapezoid ABCD is similar to WXYZ.
Point A corresponds to point W, B corresponds with X, C corresponds with Y, and D corresponds with Z (first, second, third, and last letters correspond with each other according to the similarity statement).
Now let's check each answer choice and see which applies to these similar trapezoids:
Since point B corresponds with point X and the trapezoids are similar, they must be congruent angles. Thus, the first choice is correct.Point Y does not correspond with point A. Thus, it is possible the angles are not congruent. The second choice is incorrect.Point A corresponds with W and B corresponds with X. Thus, line segment AB will be similar to line segment WX. However, they are not equal. Thus, the third choice is incorrect.There's an equal sign in this choice, too, just like the last, and the two segments are corresponding line segments. Thus, the fourth choice is incorrect.This looks like the third choice, but with a similarity symbol instead of an equal sign. Now, the statement is true and the fifth choice is correct.This looks like the fourth choice but with a similarity instead of an equal sign. Now, the statement is true and the sixth choice is correct.Let me know if you need any clarifications, thanks!
Answer:
c kd kjdkwj
Step-by-step explanation:
jc kjkd ndjfhcajhd,cm sdnfj vkdshf vndc jdsfhbv
One number is 10 times as large as another and their difference is 81. Find the numbers.
Answer:
one number is 90 and the other one 9
Step-by-step explanation:
Let's refer to the larger number as "x", and the smaller as "y", so we can create equations with those unknowns and solve them algebraically.
Now let's write the first phrase we are given in mathematical form:
"One number is 10 times as large as another one"
Remember that our larger number is "x", so the first equation out of this phrase is:
x = 10 * y
Now for the second phrase:
"Their difference is 81"
Here we need to make the difference setting the larger number first (x), minus the smaller number (y), so as to get a positive difference of 81 units:
x - y =81
now we solve this system by substituting "x" in the second equation with "10 * y" according to what our first equation states:
10 y - y = 81
9 y = 81
y = 81/9
y = 9
and therefore now that we know the value of number y (9) we can go back to the first equation to find what number "x" is:
x = 10 * (9)
x = 90
Finally: x = 90, and y = 9
. A man gave an amount of money to his three sons yao, esi and ampa in the ratio of
their years. If yao is 15 years, esi is 10 years and ampa 5years. If esi had GHS100.00
i. Calculate the amount given to them
The amount given to them is GHS300.00
Step-by-step explanation:
A man gave an amount of money to his three sons Yao, Esi and Ampa in the ratio of their years
Yao is 15 yearsEsi is 10 yearsAmpa 5 yearsEsi had GHS100.00We need to find the amount given to them
Let us use the ratio method to solve the problem
∵ Yao is 15 years old
∵ Esi is 10 years old
∵ Ampa is 5 years old
∴ The ratio between them is
→ Yao : Esi : Ampa
→ 15 : 10 : 5
Simplify the terms of the ratio by divide each term by 5
∴ The ratio between their ages in the simplest form is
→ Yao : Esi : Ampa
→ 3 : 2 : 1
∵ Esi had GHS100.00
→ Yao : Esi : Ampa : Total
→ 3 : 2 : 1 : 6 ( 3 + 2 + 1 = 6)
→ : 100 : : x
Use the cross multiplication to find x
∵ 2(x) = 100(6)
∴ 2x = 600
- Divide both sides by 2
∴ x = 300
∵ x represents the total money given to them
∴ The amount given to them is GHS300.00
The amount given to them is GHS300.00
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Answer:
GHS300.00.,//.:.
15 years!%
10 years!)
5 years%
GHS100.00!))>))
......................................................
that is the answer i got but it could be wrong
:| :)
The base of a triangle is shrinking at a rate of 1cm/min and the height if the triangle is increasing at a rate of 5cm/min. Find the rate at which the area of the triangle changes when the height is 22 cm and the base is 10 cm.
The rate at which the area of the triangle changes when the height is 22 cm and the base is 10 cm is 14 cm²/min.
Using the formula for a triangle's area, A = (1/2) × base × height, we can determine rate of the triangle's area changes.
We can describe the rate of change of the base as db/dt = -1 cm/min (negative because it is shrinking) given that the base is shrinking at a rate of 1 cm/min.
The height is increasing at a rate of 5 cm/min, so the rate of change of the height can be expressed as dh/dt = 5 cm/min.
We must determine dA/dt for h = 22 cm and b = 10 cm in order to determine the rate at which the triangle's area changes at these two points.
We can start by differentiating the area formula with respect to time (t):
dA/dt = (1/2) × (db/dt × h + b × dh/dt)
Substituting the given values:
dA/dt = (1/2) × (-1 cm/min × 22 cm + 10 cm × 5 cm/min)
Simplifying:
dA/dt = (1/2) × (-22 cm/min + 50 cm/min)
= (1/2) × 28 cm/min
= 14 cm/min
Therefore, the rate at which the area of the triangle changes when the height is 22 cm and the base is 10 cm is 14 cm/min.
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The rate at which the area of the triangle changes is 2 cm²/min. This is found by applying the chain rule of differentiation to the triangle area formula, substituting the given values and rates, and simplifying.
Explanation:The subject of this question is rate of change in context of the Triangle Area Formula: 1/2 * base * height. Given that the base is shrinking at a rate of 1cm per minute (1 cm/min) and the height is increasing at a rate of 5 cm/min, we can express this rate of change in the formula. A negative sign is used for the base because the base length is decreasing.
To find the rate of change in the area, use the chain rule of differentiation, leading to the formula (-1/2 * height * db/dt) + (1/2 * base * dh/dt). When the height is 22 cm and the base is 10 cm, substituting these values along with the rates at which the base and height are changing, the formula becomes (-1/2 * 22cm * 1 cm/min) + (1/2 * 10cm * 5 cm/min). Simplify to find that the area of the triangle is changing at 2 cm²/min.
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The difference between two numbers is 2 and their product is 120.
What are the numbers?
Answer:
x=12,y=10
Step-by-step explanation:
let two nos are x and y
so x-y=2.............(1)
xy=120................(2)
(x+y)^2=(x-y)^2+4xy
(x+y)^2=2^2+4(120)
(x+y)^2=4+480=484
x+y=[tex]\sqrt{484}[/tex]
x+y=22.................(3)
adding (1) and (3),
x+y=22
x-y=2
2x=24
x=12,y=10 answer
Answer:
yo m om s u c k c o c k
Step-by-step explanation:
There were 16 sandwiches on a tray for a lunch meeting. After the meeting, 3 were left. How many sandwiches were eaten?
Answer:
13
Step-by-step explanation:
16-3+= 13
Please help me guys I really need it
The figure is a 4 sided pyramid, so it has 4 triangles and the base is square.
The net would be the lower left one.
Answer:
C
Step-by-step explanation:
The cost of two pounds of cherries is $8.58 what is the unit rate that describes the cost per pound of cherries
P.S. I need help ASAP if you answer you will be crowned brainlest answer
The cost of two pounds of cherries is $8.58. So, the unit rate that describes the cost per pound of cherries is $4.29 and this can be determined by using the unitary method.
Given :
The cost of two pounds of cherries is $8.58.
The unitary method can be used to determine the unit rate that describes the cost per pound of cherries. In the unitary method, there are two values that have to be found that is a single unit and a necessary unit.
Given that the cost of two pounds of cherries is $8.58 then the cost of unit rate is:
[tex]=\dfrac{8.58}{2}\times 1[/tex]
Multiply 8.58 by 1 in the above expression.
[tex]=\dfrac{8.58}{2}[/tex]
Divide 8.58 by 2 in the above expression.
= $4.29
The cost of two pounds of cherries is $8.58. So, the unit rate that describes the cost per pound of cherries is $4.29.
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15 more than twice a number
Answer:
15×2x
Step-by-step explanation:
Answer:
15 more than twice a number if it is a certain number u would multiply 15 times what ever number u chose
Step-by-step explanation:
On a scale drawing, a helicopter is 2.3 feet long. The scale on the drawing shows a ratio of 1 foot to 10 feet. What is the actual length of the helicopter, in feet?
PLEASE HELPP !!!!!!!
Answer:
The actual length of the helicopter is 23 feet.
Step-by-step explanation:
Given:
On a scale drawing, a helicopter is 2.3 feet long.
The scale on the drawing shows a ratio of 1 foot to 10 feet.
Now, to find the actual length of the helicopter.
Let the actual length of helicopter be [tex]x[/tex].
On scale drawing length of helicopter = 2.3 feet.
The scale on the drawing shows a ratio = 1:10.
Now, as ratios are given so by setting proportion we solve it:
[tex]\frac{2.3}{x} =\frac{1}{10}[/tex]
By cross multiplying we get:
⇒ [tex]2.3\times 10=x[/tex]
⇒ [tex]23=x[/tex]
⇒ [tex]x=23\ feet.[/tex]
Therefore, the actual length of the helicopter is 23 feet.
What is the probability of drawing a king or a queen?
Answer:
2/13
Step-by-step explanation:
There are 4 kings and 4 queens in a standard deck of 52 cards. So the probability is:
P = 8/52
P = 2/13
A restaurant bill is $59 and you pay $75. What percentage gratuity did you pay?
Answer:22%
Step-by-step explanation:
You paid approximately 27.12% gratuity on a $59 bill by leaving a $16 tip on a $75 payment.
To find out the percentage gratuity paid, you can first calculate the gratuity amount by subtracting the bill amount from the total paid:
Gratuity = Total paid - Bill amount
Gratuity = $75 - $59
Gratuity = $16
Now, to find the percentage gratuity, divide the gratuity amount by the bill amount and then multiply by 100:
Percentage Gratuity = (Gratuity / Bill amount) * 100
Percentage Gratuity = ($16 / $59) * 100
Percentage Gratuity ≈ 27.12%
So, you paid approximately a 27.12% gratuity.
$23,803 is invested, part at 8% and the rest at 5%. If the interest earned from the amount invested at 8% exceeds the interest earned from the amount invested at 5% by $357.89, how much is invested at each rate? (Round to two decimal places if necessary.)
Answer:
The amount invested at 8% is $11,908 and the amount invested at 5% is $11,895
Step-by-step explanation:
Let
x ----> the amount invested at 8%
(23,803-x) ----> the amount invested at 5%
Remember that
[tex]8\%=8\100=0.08[/tex]
[tex]5\%=5\100=0.05[/tex]
we know that
The interest earned from the amount invested at 8% is equal to the interest earned from the amount invested at 5% plus $357.89
so
The linear equation that represent this situation is
[tex]0.08x=0.05(23,803-x)+357.89[/tex]
solve for x
Apply distributive property right side
[tex]0.08x=1,190.15-0.05x+357.89[/tex]
Group terms
[tex]0.08x+0.05x=1,190.15+357.89[/tex]
Combine like terns
[tex]0.13x=1,548.04[/tex]
[tex]x=\$11,908[/tex]
[tex]\$23,803-x=\$23,803-\$11,908=\$11,895[/tex]
therefore
The amount invested at 8% is $11,908 and the amount invested at 5% is $11,895
I need the answer I tried to do the work but my work is wrong so can you help me
Answer:
$545
Step-by-step explanation:
Let the total cost per year be y.
He spent a flat amount of $125 per year.
Then he spend an additional $35 per months. There are 12 months in a year so that's a total of 35*12=$420.
Add up the cost
y = 125 + 420 = $545
Let f(x)=7^x and g(x)=7^x+2-4. Which transformations are needed to transform f(x) to the graph g(x)?
Answer ASAP
Answer:
4. vertical translation 4 units down
6. horizontal translation 2 units to the right
Step-by-step explanation:
Given [tex]f(x)=7^x[/tex] and [tex]g(x)=7^{x+2}-4[/tex]
1. Adding 2 to x means horizontal translation 2 units to the right.
2. Subtracting 4 from the function [tex]7^{x+2}[/tex] means vertical translation 4 units down.
So, to transform the graph of the function f(x) to the graph of the function g(x), you need to translate the graph of the function f(x) horizontally 2 units to the right and vertically 4 units down.
Answer:the answers are “ horizontal translation 2 units left” and “ vertical translation 4 units down” :)
Step-by-step explanation:
Please help me out this kind of confused me thank you in advance!
Answer:
In the quotient [tex]x^4+2x^3+x^2+5x+10=0[/tex] , the coefficient of x is 5.
Step-by-step explanation:
Given rational expression is [tex]\frac{-x^5+3x^3-3x^2+20}{x-2}[/tex]
Nicolette used synthetic division to solve the given rational expression.
Nicolette's work is given below:
Given that x-2 is a zero of given rational expression
By using synthetic division for the given rational expression.
2_| -1 0 3 -3 0 20
0 -2 -4 -2 -10 -20
____________________________
-1 -2 -1 -5 -10 | 0
Therefore the simplified expression can be written as below
[tex]-x^4-2x^3-x^2-5x-10=0[/tex]
Taking negative sign outside.
[tex]-(x^4+2x^3+x^2+5x+10)=0[/tex]
Multiply negative sign with "0" we get "0"
Therefore [tex]x^4+2x^3+x^2+5x+10=0[/tex]
In the quotient [tex]x^4+2x^3+x^2+5x+10=0[/tex], the coefficient of x is 5.