7-4.9t=15+7.6t solve for t

Answers

Answer 1
-0.64 = t That is the answer to your problem
Answer 2
You will try to get t by itself.
Start with adding 4.9t to both sides to get 7=15+12.5t
Then subtract 15 from both sides to get -8=12.5t
Divide both sides by 12.5t so you will get -0.64=t.
Plug this back in to the equation to check your work.
7-4.9(-.64)=10.136
15+7.6(-.64)=10.136

Related Questions

Find the slope of the line that passes through (90, 93) and (-4, 49).

Answers

93-49/90+4
44/94
22/47

(–0.2b^6)^3(5b) this is the question to be answered

Answers

Final answer:

The simplified form of the expression [tex](-0.2b^{6})^3(5b)[/tex] is [tex]-0.04b^{19}[/tex], obtained through raising to a power and multiplication.

Explanation:

The student's question involves simplifying an algebraic expression by raising a term to a power and then multiplying it by another term. To simplify [tex](-0.2b^{6})^3(5b)[/tex], we must first raise [tex]-0.2b^{6}[/tex] to the third power and then multiply the result by 5b. This will give the answer [tex]-0.04b^{19}[/tex], which can be obtained following the below mentioned steps.

Let's do this step by step:

Raise [tex]-0.2b^{6}[/tex] to the third power: [tex](-0.2)^3[/tex]= −0.008 and [tex](b^{6})^3[/tex]= [tex]b^{18}[/tex]

Multiply the result by 5b: [tex](-0.008)b^{18}*5b[/tex] = [tex](-0.008*5)b^{18+1}[/tex] = [tex]-0.04b^{19}[/tex]

The final simplified expression is [tex]-0.04b^{19}[/tex].

The sum of a 1 digit number and a 3 digit number is 217. The product is 642. One number is between 200 and 225. What are the numbers?

Answers

214 and 3

hope this help :)
3, 214.

3+214= 217
3*214= 642

Let f(x) = k(9x − x2) if 0 ≤ x ≤ 9 and f(x) = 0 if x < 0 or x > 9. (a) for what value of k is f a probability density function?

Answers

We require

[tex]\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=1[/tex]

Since

[tex]f(x)=\begin{cases}k(9x-x^2)&\text{for }0\le x\le9\\0&\text{otherwise}\end{cases}[/tex]

the integral above reduces to

[tex]\displaystyle\int_0^9 k(9x-x^2)\,\mathrm dx=k\left(\dfrac92x^2-\dfrac13x^3\right)\bigg|_{x=0}^{x=9}=\dfrac{243k}2=1[/tex]
[tex]\implies k=\dfrac2{243}[/tex]
Final answer:

To find the value of k that makes f(x) a probability density function, we need to satisfy two conditions: f(x) must be non-negative for all x and the total area under the curve of f(x) must equal 1. Solving the integral of the function f(x) = k(9x - x^2) from x = 0 to x = 9, we find that the value of k that satisfies these conditions is approximately 0.0696.

Explanation:

In order for the function f(x) to be a probability density function, it must satisfy two conditions:

The function must be non-negative for all values of x.

The total area under the curve of the function must be equal to 1.

Let's analyze the function f(x) = k(9x - x^2) for 0 ≤ x ≤ 9 and f(x) = 0 for x < 0 or x > 9:

If 0 ≤ x ≤ 9, the function f(x) is given by f(x) = k(9x - x^2).The function f(x) is non-negative in the interval [0, 9] if k(9x - x^2) ≥ 0. This is true when k > 0.To find the value of k that makes the total area under the curve equal to 1, we need to integrate the function f(x) = k(9x - x^2) from x = 0 to x = 9 and set it equal to 1:∫09 k(9x - x^2) dx = 1Simplifying the integral gives us k(405 - 364.5) = 1Solving for k, we get k ≈ 0.0696 (rounded to four decimal places).

Therefore, the value of k that makes f(x) a probability density function is approximately 0.0696.

Learn more about Probability Density Functions here:

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If K = {(x, y )|x - y = 5}, find the corresponding range of y for the domain {0, 2, 4}.

Answers

the domain is basically the x value and range is the y value in (x, y). so in this, they are giving you the domain so just plug in the domain numbers into the equation to find the answer.

k = {(x, y)|x - y = 5}

(0, y)             (0, -5)
0 - y = 5
y = -5

(2, y)       (2, -3)
2 - y = 5
-y = 5 -2
-y = 3
y = -3

(4, y)            (4, -1)
4 - y = 5
-y = 5 - 4
-y = 1
y = -1

hope this helped, God bless!

Jamie had 5 1/4 cans if soup in her kitchen. She decided to use 3 1/9 of it. How much soup does she still have after making 3 1/9 if it?
please explain

Answers

5 1/4 - 3 1/9
5 9/36 - 3 4/36
2 5/36 is final answer

can someone double check my answers on this integers sheet? (53 points)

Answers

1) -28
2) +36
3) +14114
4)-129
5) - 8
(they are all correct up to this point)

Yes, 1--5 in sentences are all right 

hope this helps

A student pays for 8.9 pounds of apples with a $10 bill. How much change does the student receive?

Answers

you take 10 - 8.9 = $1.10

pls help with fractions. (Operations with Rational Numbers) thx, xoxo

ps. This is 7th grade math

Answers

Well I did the math and got 68.75 as his average.
That would be an average of 86.25

Will the standard form 3.2 × 10–4 be more or less than 1? Explain what effect the negative exponent has. Thanks! =)

Answers

3.2 * 10^-4 = 0.00032
So the number is less than 1.

The effect the negative exponent has is.....well...here's an example

if the exponent was a positive it would be 3.2 *10^4 = 32,000

If it was positive you would move the decimal point to the right (for this equation) 4 times... if it was negative you would move it the other way.

981,657 rounded to nearest ten thousand

Answers

982,000 is the answer
////////////// sorry i need 20 characters

Answer is 980,000. I think

fInd the missing term in the following geometric sequence. 4, __, 500

Answers

The answer is 4, 20,100, 500

Answer:  The missing term in the given geometric sequence is 20√5  or  -20√5.

Step-by-step explanation:  We are given to find the missing term in the following geometric sequence :

4,     ?,    500,  .   .   .

Let b represents the missing term.

Since the given sequence is a geometric one, so there common ratio r such that

[tex]\dfrac{b}{4}=\dfrac{500}{b}=r\\\\\\\Rightarrow \dfrac{b}{4}=\dfrac{500}{b}\\\\\Rightarrow b^2=4\times500\\\\\Rightarrow b^2=2000\\\\\Rightarrow b=\pm\sqrt{2000}\\\\\Rightarrow b=\pm20\sqrt{5}.[/tex]

Thus, the missing term in the given geometric sequence is 20√5  or  -20√5.

The data from 200 endothermic reactions involving sodium bicarbonate are summarized as follows: calculate the probability mass function of final temperature

Answers

Given the table below which contains data from 200 endothemic reactions involving sodium bicarbonate:

[tex]\begin{tabular} {|c|c|} Final Temperature Conditions&Number of Reactions\\[1ex] 266 K&48\\ 271 K&60\\ 274 K&92 \end{tabular}[/tex]

We find the probability distribution function as follows:

Let X denote the final temperature, then

[tex]P(X = 266) = \frac{48}{200} =0.24\\ \\ P(X = 271) = \frac{60}{200} =0.3\\ \\ P(X = 274) = \frac{92}{200} =0.46[/tex]


Match the equation with the step needed to solve it.

1 .
subtract m

2m - 1 = 3m
2 .
add 2

2m = 1 + m
3 .
subtract 2m

m - 1 = 2
4 .
add 1

2 + m = 3
5 .
subtract 2

-2 + m = 1
6 .
subtract 1

3 = 1 + m

Answers

1 subtract 1 2m - 1 = 3m 
2 subtract 2 2m = 1 + m 
3 subtract m m - 1 = 2 
4 add  2 + m = 3 
5 subtract 2m -2 + m = 1 
6 add 1 3 = 1 + m 
1.5.
2.4
3.1
42
56
63

Answer:

1.

add 1

m - 1 = 2

2.

subtract 1

3 = 1 + m

3.

add 2

-2 + m = 1

4 .

subtract m

2m = 1 + m

5 .

subtract 2

2 + m = 3

6 .

subtract 2m

2m - 1 = 3m

Richard borrowed $1,250 for two years at 14% a year under an add-on plan. He repaid the loan, including interest, in 24 equal payments. How much was each payment?

Answers

First you need to use the compound interest formula to work out the amount of money he had after those two years. To do this you have to make a multiplier for the 14% and you have to put the number of years to the power of the multiplier and of course you need to times the original amount by the multiplier:
(100+14)/100 = 1.14 (making the multiplier)

1250*(1.14)^2 = 1624.5

Then you divide the 1624.5 by 24 to get the equal payments:
1624.5/24 = $67.6875 (rounded to $67.69)

Richard made payments of $67.69 24 times to pay off the loan he had taken out.

Hope this helps! :)
$1,250 compounded 14% in two years $1,624.50/24 = $67.6875 monthly payment.

write the following comparison as a ratio reduced to lowest terms.

114 hours to 13 days

Answers

Final answer:

To write the comparison as a ratio reduced to lowest terms, we need to convert both the hours and the days to a common unit of time. There are 24 hours in a day, so we can convert 13 days to hours by multiplying 13 by 24: 13 days x 24 hours/day = 312 hours. Now, the comparison is 114 hours to 312 hours. We can simplify this ratio by dividing both numbers by their greatest common factor, which is 6. 114 ÷ 6 = 19, and 312 ÷ 6 = 52. Therefore, the simplified ratio is 19:52.

Explanation:

To write the comparison as a ratio reduced to lowest terms, we need to convert both the hours and the days to a common unit of time. There are 24 hours in a day, so we can convert 13 days to hours by multiplying 13 by 24: 13 days x 24 hours/day = 312 hours. Now, the comparison is 114 hours to 312 hours. We can simplify this ratio by dividing both numbers by their greatest common factor, which is 6. 114 ÷ 6 = 19, and 312 ÷ 6 = 52. Therefore, the simplified ratio is 19:52.

20 children plays a game there are 5 children on each team how many teams play the game write a division sentence to represent the problem

Answers

Final answer:

To find the number of teams playing the game, divide the total number of children by the number of children on each team. In this case, there are 20 children and 5 children on each team, so there are 4 teams playing the game.

Explanation:

To find the number of teams playing the game, you can divide the total number of children by the number of children on each team. In this case, there are 20 children and 5 children on each team. So, the division sentence to represent the problem is:

20 ÷ 5 = 4

Therefore, there are 4 teams playing the game.

People drive, on average, 11,900 miles per year. About how many miles each week is that

Answers

Final answer:

To calculate the average weekly driving mileage based on an annual average of 11,900 miles, divide the total miles by 52 weeks, resulting in approximately 228.85 miles driven per week.

Explanation:

The question asks us to calculate how many miles are driven each week if an average person drives 11,900 miles per year. To find the weekly mileage, we can divide the total annual miles by the number of weeks in a year. Since there are 52 weeks in a year, we would perform the following calculation:

Divide 11,900 by 52.11,900 miles \/ 52 weeks = 228.85 miles per week.

Therefore, on average, a person drives approximately 228.85 miles each week.

You drove at 55mph for 4.5 hours. Which of the following equations will tell you how far you drove? A: d=(55)(4.5) B: 55=r(4.5) C: 4.5=55t D: 4.5=r(55)

Answers

A. 55mph x 4.5hrs which makes since because mph is miles per hour, so I drove 55miles every hour.

Answer : The correct equation will be, (A) [tex]d=(55)\times (4.5)[/tex]

Step-by-step explanation :

As we are given that:

Speed = 55 mph

Time = 4.5 hr

As we know that:

[tex]Distance=Speed\times Time[/tex]

So,

[tex]Distance=55mph\times 4.5hr[/tex]

[tex]Distance=55\times 4.5[/tex]

or,

[tex]d=(55)\times (4.5)[/tex]

Thus, the correct equation will be, (A) [tex]d=(55)\times (4.5)[/tex]

1. 48 c = __qt
A. 6
B. 8
C. 10
D. 12

2. 96oz__5 lb
A. <
B. >
C. =

3. 6 yd, 1 ft = __ ft
A. 7
B. 12
C. 19
D. 36

4. 6 1/2 lb = __oz?
A. 104
B. 108
C. 112
D. 136

Answers

number 1:
We know that 1 quart = 4 cups. That means we need to divide 48 by 4.
What is 48 / 4=12
Number 1 is D
Number 2
We know that oz =0.0625 pounds
Well we multiply 0.0625 by 92 and get 6
Number 2 is B
Number 3
We know that 1 yd = 3 ft
We have to multiply. 3*6=18 But we have to add that one 18+1=19
Number 3 is C
Number 4
We know that 6 pounds = 96 oz from earlier and half of a pound is 8  so that means we do 96+8=104
Number 4 is A

 Hope this really helped!

The units after conversion are:

48 c = 12 qt

96 oz > 5 lb

6 yd, 1 ft = 19 ft

6 1/2 lb = 104 oz

We have,

1.

To convert 48 cups to quarts, we know that there are 4 cups in 1 quart. Therefore, dividing 48 by 4 gives us the number of quarts.

48 cups / 4 cups/quart = 12 quarts

2.

To compare 96 ounces to 5 pounds, we need to convert one of the units so that they are in the same unit of measurement.

Since there are 16 ounces in 1 pound, we can convert 5 pounds to ounces.

5 pounds x 16 ounces/pound = 80 ounces

3.

Now we can compare 96 ounces and 80 ounces.

Since 96 is greater than 80.

4.

To convert 6 yards and 1 foot to feet, we know that there are 3 feet in 1 yard.

Therefore, we can convert the yards to feet and add the 1 foot.

6 yards x 3 feet/yard = 18 feet

18 feet + 1 foot = 19 feet

5.

To convert 6 1/2 pounds to ounces, we know that there are 16 ounces in 1 pound. We can convert the whole number part and the fraction part separately and then add them together.

6 pounds x 16 ounces/pound

= 96 ounces

Now let's convert the fraction:

1/2 pound x 16 ounces/pound = 8 ounces

Adding the two parts together:

96 ounces + 8 ounces = 104 ounces

Thus,

The units after conversion are:

48 c = 12 qt

96 oz > 5 lb

6 yd, 1 ft = 19 ft

6 1/2 lb = 104 oz

Learn more about unit conversion here:

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When a particular machine is functioning properly, 80% of the items produced are non-defective. if three items are examined, what is the probability that one is defective? use the binomial probability function to answer this question?

Answers

15 percent there u go have a good ay

Answer:

The probability is 38.4%

Step-by-step explanation: Here we have two posibilites for each of the 3 items, it is defective or it is not.

Where the probability that the item is defective is equal to 20% (or 0.2 in decimal form)

Now, if only one is defective, this means that the other two are not, so the probabilites (at random) are 20%, 80% and 80%.

Then the joint probability, equal to the product of those 3 probabilities, is:

p = 0.2*0.8*0.8 = 0.128

But we have 3 posible permutations (in which different options are the deffective one) so the probability is 3 times that number:

P = 3p = 3*0.128 = 0.384

So the probbility, in percentage form, is 38.4%

I need help with this problem ASAP. Please.

y=x+√x+5 y=7

Answers

Assuming the square root contained (x+5) not just (x) here is the answer solving for x

Answer:

Solve for

x = 1

y = 7

Step-by-step explanation:

Find the constant of variation k for the direct variation
A) k=2.5
B) k=-2
C) k=2
D) k=0.5

Answers

[tex]\bf \qquad \qquad \textit{direct proportional variation}\\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------\\\\ \textit{we know that } \begin{cases} x=4\\ y = 8 \end{cases}\implies 8=k4\implies \cfrac{8}{4}=k\implies 2=k[/tex]

Approximately 105 out of 350 teens have their own savings account. Express the ratio 105:350 as a fraction in simplest form.

Answers

105:350 = 105 / 350
Now reduce 105 / 350 = 3 / 10

Rohan is checking in poodles for a dog show. A miniature poodle must be between 10 in. and 15 in. at the shoulder. The body length must be no more than 16 in. In addition, the poodle’s shoulder height must be no more than 1 in. longer than its body length.

The graph shows the feasible region, where x represents the poodle’s body length and y represents the shoulder height.

Which ordered pairs meet all the constraints for a successful poodle measurement and make sense in context of the situation?

Select each correct answer.



(11, 14)

(10, 12)

(12, 10.5)

(15, 11)

(11, 9)

Answers

Let

x-------> represents the poodle’s body length

y-------> represents the shoulder height

Constraints

[tex]10\ in \leq y \leq 15\ in[/tex] --------> constraint A

[tex]x \leq 16\ in[/tex] --------> constraint B

[tex]y \leq x+1[/tex] --------> constraint C  

Using a graphing tool

see the attached figure

The solution is the shaded area

we know that

If a pair ordered is a solution for a successful poodle measurement

then

the pair ordered meet all the constraints

Let's check each case to determine the solution to the problem

Replace the values of x and y of the point in the different constraints. If all constraints are met, then the point is a system solution

Case A) [tex](11,14)[/tex]  

constraint A

[tex]10\ in \leq 14 \leq 15\ in[/tex] ------> is true

constraint B

[tex]11 \leq 16\ in[/tex] --------> is true

constraint C

[tex]14 \leq 11+1[/tex]

[tex]14 \leq 12[/tex] -------> is not true

therefore

the pair  [tex](11,14)[/tex] does not meet all constraints

Case B) [tex](10,12)[/tex]  

constraint A

[tex]10\ in \leq 12 \leq 15\ in[/tex] ------> is true

constraint B

[tex]10 \leq 16\ in[/tex] --------> is true

constraint C

[tex]12 \leq 10+1[/tex]

[tex]12 \leq 11[/tex] -------> is not true

therefore

the pair  [tex](10,12)[/tex]  does not meet all constraints

Case C) [tex](12,10.5)[/tex]  

constraint A

[tex]10\ in \leq 10.5 \leq 15\ in[/tex] ------> is true

constraint B

[tex]12 \leq 16\ in[/tex] --------> is true

constraint C

[tex]10.5 \leq 12+1[/tex]

[tex]10.5 \leq 13[/tex] -------> is true

therefore

the pair  [tex](12,10.5)[/tex]  meets all constraints

Case D) [tex](15,11)[/tex]  

constraint A

[tex]10\ in \leq 11 \leq 15\ in[/tex] ------> is true

constraint B

[tex]15 \leq 16\ in[/tex] --------> is true

constraint C

[tex]11 \leq 15+1[/tex]

[tex]11 \leq 16[/tex] -------> is true

therefore

the pair [tex](15,11)[/tex] meets all constraints

Case E) [tex](11,9)[/tex]  

constraint A

[tex]10\ in \leq 9 \leq 15\ in[/tex] ------> is not true

constraint B

[tex]11 \leq 16\ in[/tex] --------> is true

constraint C

[tex]11 \leq 15+1[/tex]

[tex]11 \leq 16[/tex] -------> is true

therefore

the pair  [tex](11,9)[/tex]    does not meet all constraints

therefore

the answer is

[tex](12,10.5)[/tex]

[tex](15,11)[/tex]


Find the sale price of the item. Round to two decimal places if necessary.

Original price: $217.90

Markdown: 79%

The sale price is $___

Answers

Hello! The markdown of the price is 79%. Even with that, you still have to pay 21% of the price. All we have to do is multiply the original price by the percent. 217.90 * 0.21 is 45.759 or 45.76 when rounded to the nearest hundredth. The sale price is $45.76.

in the greenhouse holds 467 plants how many plants can 6 shelves hold

Answers

To find the answer, divide 467 by 6. 467/6 = 77.83 So each shelf can hold 77.83 plants

sosceles triangle LMN is graphed with vertices L(0, 1), M(3, 5), and N(6,1). What is the slope of side LN?

Answers

the slope is zero because the line is horizontal. 

Answer:

0

Step-by-step explanation:

the other person is correct! :D

What is the slope of the line passing through the points (−1, 7) and (4, −1)?


2nd picture is the choices I have.

Answers

You are given the points (-1, 7) and (4, -1).
You can easily find the slope by using the formula
m = (y₂ - y₁)/(x₂ - x₁)

m = slope
(x₁, y₁) = (-1, 7)
(x₂, y₂) = (4, -1)

m = (-1 - 7)/(4 + 1)
m = (-8)/(5)
m = -8/5

The answer is:
A. -8/5

Find the area bounded by the curve y = x 1/2 + 2, the x-axis, and the lines x = 1 and x = 4 A. 16 B. 10 2/3 C. 7 1/2 D. 28 1/2

Answers

To find the area of the curve subject to these constraints, we must take the integral of y = x ^ (1/2) + 2 from x=1 to x=4
Take the antiderivative: Remember that this what the original function would be if our derivative was x^(1/2) + 2 
antiderivative (x ^(1/2) + 2) =  (2/3) x^(3/2) + 2x
* To check that this is correct, take the derivative of our anti-derivative and make sure it equals x^(1/2) + 2

To find integral from 1 to 4:
Find anti-derivative at x=4, and subtract from the anti-derivative at x=1
2/3 * 4 ^ (3/2) + 2(4) - (2/3) *1 - 2*1
2/3 (8) + 8 - 2/3 - 2                               Collect like terms
2/3 (7) + 6                                             Express 6 in terms of 2/3
2/3 (7) + 2/3 (9)
2/3 (16) = 32/3 = 10 2/3          Answer is B

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