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3 years ago

Four fifts times what equals two thirds

Mathematics

1 answer:

SVEN [57.7K]3 years ago

7 0

(4/5)*what = (2/3)
Multiply by 5/4
.. what = (2/3)*(5/4)
.. what = 5/6

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A plot of land has an area of 33.75 square feet. Jackson wants to put a 4-foot by 4-foot shed on the land. He can only do this i

Semenov [28]

The area of a trapezoid is
A = (1/2) h (b1 + b2)
where
h is the height
b1 is length of base 1
b2 is the length of base 2

We are given with the area and assuming that the trapezoid is isosceles, the length of base 1 is
b1 = 4 ft
If the height of the trapezoid is 4.5 feet, it ensures that the shed will fit inside the trapezoid patch of land. Therefore, the height of the trapezoid is 4.5 feet.

4 0

3 years ago

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Slope intercept form that passes though the point (-2,-3) and has a slope of 5/2

olganol [36]

$\text{Given that,}\\\\(x_1,y_1) = (-2,-3), ~~\text{and slope,}~~m = \dfrac 52\\\\\\\text{Now,}\\\\y -y_1 =m(x-x_1)\\\\\implies y +3 = \dfrac52 (x+2)\\\\\implies y = \dfrac 52(x+2) -3\\\\\\\implies y = \dfrac{5}2 x + 5 -3 \\\\\\\implies y = \dfrac 52 x + 2\\\\\\\text{This is the slope-intercept form(y =mx+b)}.$

8 0

3 years ago

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Raoul has to finish a 473-page book in a week. He decides to read the same number of pages each weekday and 30 extra pages on Sa

hodyreva [135]

Answer:

$59$ pages

Step-by-step explanation:

Variable:

x = number of pages he has to read on a weekday

x + 30 = The number of pages read on Saturday and Sunday

$5x+2(x+30) = 473$

$==> 5x + 2x + 60 = 473$

$==> 7x =413$

$==> x = 59$

Meaning that Raoul has to read 59 pages on Wednesday

6 0

3 years ago

PLZ HELP WILL GIVE BRAINLIEST!!!!!!

Travka [436]

We should find the mean number of the tests.
This would be done like: (23+24+25)/3 = 24

After that, you should find the percentage or fraction like this 24/50
Then use the fraction as an estimate like this:

(24/50) * 3250 = 1560

The correct answer is 1560.

5 0

3 years ago

Find the value of x by filling in the blanks in the provided statement-reason solution. N = MP PLEASE HELP QUICKLYYY

seraphim [82]

Picture relating to the question can be found in the picture attached below.

Answer:

Angle DCA = Angle CAB

Angle A + Angle B + Angle C = 180°

18 + 3x + 3x = 180

27°

Step-by-step explanation:

For 1:

Angle DCA = Angle CAB (Alternate angles are equal)

Angle DCA = 18°, Hence, CAB = 18°

Angle A + Angle B + Angle C = 180° (sum of interior angles in a triangle)

3.)

Angle A = 18°

Angle B = 3x

Angle C = 3x

18° + 3x + 3x = 180°

4.)

18 + 3x + 3x = 180

18 + 6x = 180

6x = 180 - 18

6x = 162

x = 162 / 6

x = 27°

6 0

2 years ago