After a rain storm, Lily measures the depth of several puddles in her backyard.

Alfonso earned a score of 87.5% on his test. he did 56 problems correctly. how many problems were on the test?

Yuri [45]

64. 87.5% in fractions is 7/8. We divide 56 by 7/8, and get to 64.
56 ÷ 7/8= 56 x 8/7= 448/7, which is reduced into 64.

5 0

3 years ago

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Find the value of x. round to the nearest tenth

AlladinOne [14]

Answer:

x=21.7

Step-by-step explanation:

cos ø=adjacent/hypotenuse

cos37°=17.3/hypotenuse

hypotenuse=17.3/cos 37°

hypotenuse=21.66

3 0

2 years ago

Work bout the height of this pyramid?

Olenka [21]

Answer:

20 cm.

Step-by-step explanation:

In order to find the height, we need the volume and the base area first. We are already given the volume so we need to find the base area.

A = 18 · 5 = 90

Now that we know the base area is 90 cm², we can substitute the information into the equation to solve for the height.

V = 1/3(A)(h)

600 = 1/3(90)(h) (Given)

600 = 30h (Simplified)

20 = h (Divided 30 on both sides)

Therefore, the height is 20 cm.

4 0

2 years ago

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explain the steps you would take to determine if the point (4,7) is a solution to the equation y=1.25x+2

enyata [817]

Answer:

Point (4,7) completely satisfies the equation and is a solution to the equation.

Step-by-step explanation:

Given:

Equation: $y=1.25x+2$

To check if the point (4,7) is a solution to the given equation.

Solution:

The solution of an equation is given as $(x,y)$ which completely satisfies the equation.

To check if the point (4,7) is a solution to the given equation, we will plugin $x=4$ and $y=7$ in the given equation and see if it satisfies it or not.

Plugging in point (4,7) in the equation:

$7=1.25(4)+2$

Simplifying.

$7=5+2$

$7=7$

The above equation is always true, and hence point (4,7) completely satisfies the equation and is a solution to the equation.

4 0

3 years ago

Jessie is fencing in a rectangular plot outside of her back door so that she can let her dogs out to play. She has 60 feet of fe

DerKrebs [107]

Answer:

Dimensions are length 15 feet and width 30 feet.

Maximum area of the plot is 450 feet².

Step-by-step explanation:

Let the length of the plot = x feet and width = y feet.

Since, the amount of fencing to be applied on the three sides of the plot is 60 feet.

We have,

$2x + y = 60$ i.e. $y=60-2x$

Now, Area of the rectangular plot = Length × Width

i.e. Area of the rectangular plot = $x \times y$

i.e. Area of the rectangular plot = $x\times (60-2x)$

i.e. Area of the rectangular plot = $-2x^2+60x$

<em>Since, the maximum of the quadratic equation $ax^2+bx+c$ will be obtained at $x= \frac{-b}{2a}$ .</em>

Then, the maximum of the area of the plot is at the point $x= \frac{-60}{2\times (-2)}$ i.e. x= 15

Then, maximum area of the rectangular plot = $-2x^2+60x$

i.e. maximum area of the rectangular plot = $-2\times 15^2+60\times 15$

i.e. maximum area of the rectangular plot = -450+900 = 450 feet²

Hence, Maximum area of the plot is 450 feet².

Then, $y=60-2\times 15$ implies $y=60-30$ i.e. y= 30.

Hence, the maximum area is enclosed by the length 15 feet and width 30 feet.

6 0

3 years ago