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2 years ago

A Garden table and bench cost $825 combined. the Garden table cost $75 more than the bench. what is the cost of the bench

Mathematics

1 answer:

Luda [366]2 years ago

3 0

Answer:

825 - 75 = 750

750 / 2 = 375

the bench cost: 375$

the garden table cost: 450$

Step-by-step explanation:

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Jared surf for one third of the nine hours he was at the beach he spent the rest of the time building a sandcastle how many hour

WINSTONCH [101]

9 dived by 3 = 3
so he surfed for 3 hours = 1/3 of 9
and there are 6 hours left

so he spent 6 hours building a sandcastle

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2 years ago

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Solve for y 16y^2-25=0

Pepsi [2]

Answer:

$\large\boxed{x=-\dfrac{5}{4}\ \vee\ x=\dfrac{5}{4}}$

Step-by-step explanation:

$16y^2-25=0\\\\METHOD\ 1:\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\16=4^2\ \text{and}\ 25=5^2\ \text{therefore we have}\\\\4^2y^2-5^2=0\\\\(4y)^2-5^2=0\\\\(4y-5)(4y+5)+0\iff4y-5=0\ \vee\ 4y+5=0\\\\4y-5=0\qquad\text{add 5 to both sides}\\4y=5\qquad\text{divide both sides by 4}\\\boxed{y=\dfrac{5}{4}}\\\\4y+5=0\qquad\text{subtract 5 from both sides}\\4y=-5\qquad\text{divide both sides by 4}\\\boxed{x=-\dfrac{5}{4}}$

$METHOD\ 2:\\\\16y^2-25=0\qquad\text{add 25 to both sides}\\\\16y^2=25\qquad\text{divide both sides by 16}\\\\y^2=\dfrac{25}{16}\to y=\pm\sqrt{\dfrac{25}{26}}\\\\y=-\dfrac{\sqrt{25}}{\sqrt{16}}\ \vee\ x=\dfrac{\sqrt{25}}{\sqrt{16}}\\\\\boxed{y=-\dfrac{5}{4}\ \vee\ x=\dfrac{5}{4}}$

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3 years ago

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An artist can paint 4 paintings in 2 hours. What is the artist’s unit rate?

RUDIKE [14]

Answer: if we divide the numerator and denominator by two, we get that he can paint two paintings in one hour. His unit rate is 2:1.

4:2 divide by two to make the denominator 1

2:1 solution has 1 in the denominator

Step-by-step explanation:

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2 years ago

Simplify, the solve.

Varvara68 [4.7K]

Answer:

1/64

Step-by-step explanation:

4x4^3/4^7

4^-3

1/4^3

<u>1/64</u>

<u />

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2 years ago

If 18 is added to a certain number and the sum is divided by 6, the result is 1 more than 14 of the original number. Find the or

Katyanochek1 [597]

The original number is 72

(18+x)/6 = 1+14
1/6x + 3 = 1 + 14 (Distribute)
1/6x + 3 = (1+14) (Combine Like Terms)
1/6x + 3 = 15
- 3 = -3 (Subtract 3 From Both Sides)
1/6x = 12
(1/6x)*6 = 12 * 6 (Multiply Both Sides By 6)
x = 72

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3 years ago