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3 years ago

7/9 - 2/8 times 4/9 sum in simplest form

Mathematics

1 answer:

Nady [450]3 years ago

7 0

7/9 -2/8 * 4/9 =

7/9 -1/4*4/9 =

7/9 -1/9 = 8/9

Answer: 8/9

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Julia is saving money for the down payment on a car. She plans to save for one year. Her parents have offered to contribute $50

denis23 [38]

Answer:

$12x+600=2700$

$175

Step-by-step explanation:

Let x represent money saved by her in one month.

So money saved by her in one year (12 months) would be $12x$ .

We can represent our given information as:

$12x+600=2700\\12x=2700-600\\12x=2100\\x=\frac{2100}{12}\\x=175$

Therefore, she needs to save $175 per month.

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3 years ago

Write a word problem for this equation $2 x n = $18

tigry1 [53]

Answer:

If You have $18, how many $2 items can you purchase?

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3 years ago

Question 4 4 pts Lori buys a $1500 certificate of deposit (CD) that earns 6% interest that compounds monthly. How much will the

Nady [450]

Answer:

Step-by-step explanation:

5 years

$1500(1+\frac{.06}{12})^{12*5}=2023.275229$

10 years

$1500(1+\frac{.06}{12})^{10*12}=2729.095101$

486 months:

$1500(1+\frac{.06}{12})^{486}=16935.47074$

round those as you please

5 0

3 years ago

Find the area of the region under the graph of f on [a, b].<br> f(x) = x2 − 8x + 17; [−1, 2]

Harman [31]

Answer:

The area is 42 area units.

Step-by-step explanation:

The area of a function f(x) on an interval [a,b] is given by:

$A = \int\limits^a_b {f(x)} \, dx$

Applying to this question:

$A = \int\limits^-1_2 {x^2 - 8x + 17} \, dx$

Then

$F(x) = \frac{x^{3}}{3} - 4x^{2} + 17x$

$A = F(2) - F(-1)$

$F(2) = frac{2^{3}}{3} - 4*2^{2} + 17*2 = \frac{8}{3} + 18 = \frac{8 + 3*18}{3} = \frac{62}[3}$

$F(-1) = frac{(-1)^{3}}{3} - 4*(-1)^{2} + 17*(-1) = -\frac{1}{3} - 21 = \frac{-1 - 21*3}{3} = -\frac{64}[3}$

$A = F(2) - F(-1) = \frac{62}[3} - (-\frac{64}[3}) = \frac{62+64}{3} = 42$

The area is 42 area units.

5 0

3 years ago

a cleaning service charges an hourly rate plus a flat fee of $15 for supplies. philip uses the service for 3.5 hours for his spr

Sergeu [11.5K]

Using linear function concepts, it is found that he can correctly determine the hourly rate as follows:

subtract the supply fee, 15 dollars from the total cost, then, divide the difference by the number of hours.

<h3>What is a linear function?</h3>

A linear function is modeled by:

$y = mx + b$

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, which can also be interpreted as the initial value of a function that is valid only for $x \geq 0$ , such as is the case in this problem.

The flat fee is of $15, hence b = 15, then:

$y = mx + 15$

Philip uses the service for 3.5 hours for his spring cleaning, and his total is $232, hence when x = 3.5, y = 232, so we use it to find the hourly rate m.

$y = mx + 15$

$232 = 3.5m + 15$

$m = \frac{232 - 15}{3.5}$

Hence, the correct option is:

subtract the supply fee, 15 dollars from the total cost, then, divide the difference by the number of hours.

You can learn more about linear function concepts at brainly.com/question/24808124

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2 years ago