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3 years ago

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Mathematics

1 answer:

tiny-mole [99]3 years ago

7 0

Answer:

A: 23 5/8

Step-by-step explanation:

Hopefully this helps!

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28 (y - 1/7) = 28y - ?Rewrite, using the distributive property

Irina-Kira [14]

Given:

$28(y-\frac{1}{7})=28y\text{ - ?}$

To rewrite using distributive property, distribute the 28 to all values inside the parenthesis.

Thus, we have:

$\begin{gathered} (28\ast y\text{ )-(28}\ast\frac{1}{7}) \\ =28y\text{ - 4} \end{gathered}$

ANSWER:

$28(y-\frac{1}{7})=28y\text{ - }4$

28y - 4

4 0

2 years ago

A player rolls a pair of standard dice. Find the probability P(sum is at least 3)

Nezavi [6.7K]

D because there are 6 sides to a dice and there are 3 options where the number is bigger than 3. Therefore 3/6 = 15/30

8 0

4 years ago

Shelia mows 1/6 acre in 1/4 hour. How many acres does she mow in per hour?

lbvjy [14]

Answer:

2/3 = .66

Step-by-step explanation:

1/6 * 4 = 4/6 = 2/3

5 0

3 years ago

The dimensions of a rectangular garden were 4m by 5m. Each dimension was increased by the same amount the garden then had an are

pogonyaev

The dimension of new garden is 7 meter by 8 meter

Solution:

The dimensions of a rectangular garden were 4m by 5m

Length = 4 m

Width = 5 m

Each dimension was increased by the same amount the garden then had an area of 56 square meter

Let "x" be the amount of increase

Then,

Length = 4 + x

Width = 5 + x

Also, given that,

New area = 56 square meter

The area of rectangle is given as:

$Area = length \times width$

Substituting the values we get,

$56 = (4+x)(5+x)\\\\56 = 20 + 4x + 5x + x^2\\\\x^2 + 9x + 20 - 56 = 0\\\\x^2 + 9x -36=0$

Let us solve the above equation by quadratic formula

$\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Using the above formula,

$\text{For } x^2+9x-36 \text{ we get , }$

a = 1 and b = 9 and c = -36

Substituting the values of a = 1 ; b = 9 ; c = -36 in above quadratic formula we get,

$x = \frac{-9\pm \sqrt{9^2-4\cdot \:1\left(-36\right)}}{2\cdot \:1}\\\\x = \frac{-9\pm \sqrt{81+144}}{2}\\\\x = \frac{-9 \pm 15}{2}$

We get two solutions,

$x = \frac{-9+15}{2} \text{ or } x = \frac{-9-15}{2}\\\\x = 3 \text{ or } x = -12$

Since dimension cannot be negative, ignore x = -12

Thus solution is x = 3

Length = 4 + x = 4 + 3 = 7

Width = 5 + x = 5 + 3 = 8

Thus dimension of new garden is 7 meter by 8 meter

5 0

3 years ago

Jada traveled 135 miles in 3 hours. Andre traveled 228 miles in 6 hours. Both Jada and Andre traveled at a constant speed. A) Ho

o-na [289]

Given:

Jada traveled 135 miles in 3 hours.

Andre traveled 228 miles in 6 hours. Both Jada and Andre traveled at a constant speed.

To find:

How far did Jada travel in 1 hour?

Solution:

We have,

Distance traveled by Jada in 3 hours = 135 miles

Then,

Distance traveled by Jada in 1 hour = $\dfrac{135}{3}$ miles

= 45 miles

Therefore, Jada travel 45 miles in 1 hour.

5 0

3 years ago