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3 years ago

Find the missing number of each unit rate

Mathematics

1 answer:

soldi70 [24.7K]3 years ago

8 0

Answer:

Step-by-step explanation:

To find the missing value for the ratio, find number that multiply 8 to 56.

8*7 = 56.

So the numerator is 1 * 7 = 7.

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7/4x^2 -2 = - 0.05x + 4

nata0808 [166]

Answer:

$x1=\frac{-2-2\sqrt{29401} }{245} x2=\frac{-2+2\sqrt{29401} }{245}$

Step-by-step explanation:

Step One: Convert

49/16x^2-2=-0.05x+4

Step Two: Multiply Both Sides by 80

245x^2-160=-4x+320

Step Three: Move everything to the left

245x^2+4x-480=0

Final Step: Quadratic Formula

$x1=\frac{-2-2\sqrt{29401} }{245} x2=\frac{-2+2\sqrt{29401} }{245}$

6 0

3 years ago

Ruben bought 6 comic books for $21 dollars sign, 21. What was the cost for 1 comic book?

Lena [83]

Answer:

$3.5

Step-by-step explanation:

21/6=3.5

6 0

2 years ago

Read 2 more answers

A home gardener estimates that 24 apple trees will have an average yield of 104 apples per tree. But because of the size of the

d1i1m1o1n [39]

Answer:

The farmer should plant 14 additional trees, for maximum yield.

Step-by-step explanation:

Given

$Trees = 24$

$Yield = 104$

$x \to additional\ trees$

So, we have:

$Trees = 24 + x$

$Yield = 104 - 2x$

Required

The additional trees to be planted for maximum yield

The function is:

$f(x) = Trees * Yield$

$f(x) = (24 + x) * (104 - 2x)$

Open bracket

$f(x) = 24 * 104 + 104x - 24 * 2x - x * 2x$

$f(x) = 2796 + 104x - 48x - 2x^2$

$f(x) = 2796 + 56x - 2x^2$

Rewrite as:

$f(x) = - 2x^2 + 56x + 2796$

Differentiate

$f'(x) = -4x + 56$

Equate $f'(x) = -4x + 56$ to 0 and solve for x to get the maximum of x

$-4x + 56 = 0$

$-4x =- 56$

Divide by -4

$x =14$

The farmer should plant 14 additional trees, for maximum yield.

5 0

2 years ago

Lincoln invested $49,000 in an account paying an interest rate of 6\tfrac{1}{8}681% compounded daily. Eli invested $49,000 in a

timofeeve [1]

Answer: 15856

Step-by-step explanation: 166786.9963 - 150930.6256

= 15856.3707

= $15856

6 0

1 year ago

In a big garden 60% of the trees are coconut trees,25%of the number of coconut trees are mango trees and 20% of the number ofof

AVprozaik [17]

the number of trees in the garden = x
coconut trees = 0.6x
mango trees = 0.6x * 0.25 = 0.15x
apple trees = 0.15x * 0.2 = 0.03x

0.03x = 1500
x = 1500/0.03
x = 50 000 ← the number of trees in the garden.

3 0

2 years ago