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2 years ago

Solve the system of linear equations by substitution.

1 answer:

5 0

Y=-4.5 and x=-2
So your first “equation equals to x so then you substitute the X in the second equation with the first equation. Which would give you 3(2y+7)-2y=3 then you solve (make sure to distribute). Which would give you y=-4.5 Can you substitute your y answer in your first equation. Which would be x= 2(-4.5)+7 then your solve

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A garden supply store sells two types of lawn mowers. Total ales of mowers for the year were $8379.70. The total number of mower

Anestetic [448]

Answer:

The number of small mowers are 19 and the large mowers are 11.

Step-by-step explanation:

Given:

A garden supply store sells two types of lawn mowers. Total sales of mowers for the year were $8379.70. The total number of mowers sold the 30. The small mower cost $249.99 and the large mower costs $329.99.

Now, to find the number of each type of mower sold.

Let the number of small mower be $x.$

And the number of large mower be $y.$

So, total number of mowers are:

$x+y=30$

$x=30-y\ \ \ ....(1)$

Now, the total sales of mowers are:

$249.99(x)+329.99(y)=8379.70$

Substituting the value of $x$ from equation (1) we get:

$249.99(30-y)+329.99y=8379.70$

$7499.7-249.99y+329.99y=8379.70$

$7499.7+80y=8379.70$

Subtracting both sides by 7499.7 we get:

$80y=880$

Dividing both sides by 80 we get:

$y=11.$

The number of large mower = 11.

Now, to get the number of small mowers we substitute the value of $y$ in equation ( 1 ):

$x=30-y\\x=30-11\\x=19.$

The number of small mower = 19.

Therefore, the number of small mowers are 19 and the large mowers are 11.

6 0

2 years ago

3. The graph shows the vertical displacement y, in centimeters, that a weight bouncing from a spring would achieve if there were

Free_Kalibri [48]

Answer:

a what is the weight maximum displacement

6 0

3 years ago

When you go to the store, does tax increase or decrease the cost of your items?

Musya8 [376]

yes because you have to pay more it's tricky

3 0

3 years ago

Find the volume of a cylinder with a diameter of 6 inches and a height that is three times the radius. Use pi on your calculator

Virty [35]

ANSWER
$V=254.47in^3$

EXPLANATION

The volume of a cylinder is given by the formula:

$V=\pi \: {r}^{2} h$

The given cylinder has diameter 6. This means that, the radius is

$r = \frac{6}{2}$

$r = 3cm$

The is height is

$h = 3r$

$h = 3(3) = 9cm$

We substitute the values into the formula to obtain;

$V=\pi \: {3}^{2} \times 9$

$V=81\pi$

$V=254.46900494$

The volume is $254.47in^3$ to the nearest hundredth

7 0

2 years ago

Read 2 more answers

Help pleaseeeeeeeeeeeeeeeeeeeeeee

bixtya [17]

Answer: $\bold{(1)\ \dfrac{19,683}{64}\qquad (2)\ 16}$

Step-by-step explanation:

(1) (12, 18, 27, ...)

The common ratio is:

$r=\dfrac{a_{n+1}}{a_n}\quad r =\dfrac{18}{12}=\boxed{\dfrac{3}{2}}\quad \rightarrow \quad r=\dfrac{27}{18}=\boxed{\dfrac{3}{2}}$

The equation is:

$a_n=a_o(r)^{n-1}\\\\Given:a_o=12,\ r=\dfrac{3}{2}\\\\\\Equation:\\a_n =12\bigg(\dfrac{3}{2}\bigg)^{n-1}\\\\\\\\9th\ term:\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{9-1}\\\\\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{8}\\\\\\.\quad =\large\boxed{\dfrac{19643}{64}}$

$(2)\qquad \bigg(\dfrac{1}{16},\dfrac{1}{8},\dfrac{1}{4},\dfrac{1}{2}\bigg)\\\\\\\text{The common ratio is}:\\\\r=\dfrac{a_{n+1}}{a_n}\quad r=\dfrac{\frac{1}{8}}{\frac{1}{16}}=\boxed{2}\quad \rightarrow \quad r=\dfrac{\frac{1}{4}}{\frac{1}{8}}=\boxed{2}$

The equation is:

$a_n=a_o(r)^{n-1}\\\\Given:a_o=\dfrac{1}{16},\ r=2\\\\\\Equation:\\a_n =\dfrac{1}{16}(2)^{n-1}\\\\\\\\9th\ term:\\a_9=\dfrac{1}{16}(2)^{9-1}\\\\\\a_9=\dfrac{1}{16}(2)^{8}\\\\\\.\quad =\large\boxed{16}$

3 0

2 years ago