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2 years ago

If the point (3,4) lies on the graph of the equation 3y=ax+7 ,find the value of a

Mathematics

1 answer:

Daniel [21]2 years ago

5 0

3y = ax + 7

3(4) = a(3) + 7

12 = 3a + 7

3a = 5

a = 5/3

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The plan for the Thorne’s backyard play area, shaped like a trapezoid, is shown. The area of the play area is 286.56 square feet

lorasvet [3.4K]

The length of material needed for the border is the perimeter of the backyard play area

<h3>How to calculate the length of material needed </h3>

The area of the play area is given as:

$Area = 286.56$

The area of a trapezoid is calculated using:

$Area = 0.5 * (L1 + L2) * H$

Where L1 and L2, are the parallel sides of the trapezoid and H represents the height.

The given parameter is not enough to solve the length of material needed.

So, we make use of the following assumed values.

Assume that the parallel sides are: 25 feet and 31 feet long, respectively.

While the other sides are 10.2 feet and 8.2 feet

The length of material needed would be the sum of the above lengths.

So, we have:

$Length = 25 + 31 + 10.2 + 8.2$

$Length = 74.4$

Using the assumed values, the length of material needed for the border is 74.4 feet

Read more about perimeters at:

brainly.com/question/17297081

6 0

2 years ago

There are four blue marbles, an unknown number of red (r) marbles, and six yellow marbles in a bag. Which expression represents

MAXImum [283]

Answer:

There are a total of 4 + r + 6 marbles in the bag

The probability of a blue is $\frac{4}{10+r}$

The probability of a red is $\frac{r}{10+r}$

The probability of choosing a blue, replacing it and then a red is

$\frac{4}{10+r}$ × $\frac{r}{10+r}$ = [tex]\frac{4r}{100+20r+ r^{2} /[tex]

Step-by-step explanation:

6 0

3 years ago

Which expression represents the area of the garden in square feet?

Kisachek [45]

Answer:

C. 42x² - 3x - 9

Step-by-step explanation:

Area:

(7x + 3) (6x - 3)

7x(6x - 3) + 3(6x - 3)

42x² - 21x + 18x - 9

42x² - 3x - 9

8 0

3 years ago

Chef johnson used 4 1/2 cups of flour to make 4 fruit cakes. How many cups of flour are needed for 1 fruit cake?

Wittaler [7]

Divide 4 1/2 = 4.5 by 4 you would get 4.125. 4.125 cups of flour are needed to make one fruitcake.

7 0

3 years ago

Read 2 more answers

24) 28 + 3k < 5(–3 – 8k)<br> -4 -3<br> -2<br> -1<br> 0<br> 2<br> 3<br> 4<br> 5 6

ahrayia [7]

Answer:

k < - 1

Step-by-step explanation:

28 + 3k < 5(-3-8k)

28 + 3k < - 15 - 40k

28 + 15 < - 40k - 3k

43 < - 43k

43/- 43 > k (switch signs because 43 is negative)

k < -1

6 0

2 years ago