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2 years ago

Tell whether (1,10) is a solution of y>5+6x

Mathematics

2 answers:

laila [671]2 years ago

7 0

Yes just plug in x and y so yes

liraira [26]2 years ago

5 0

y > 5 + 6*x

10 > 5 + 6*1 .... replace x with 1, replace y with 10

10 > 5 + 6

10 > 11 ... this is a false statement because 10 is smaller than 11

Since the last statement is false, this means the first inequality is false when (x,y) = (1,10)

The given point is not a solution

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The height of a cylinder is 10 and the area of a base is 36 pi square units. What

ollegr [7]

Answer:

1130.97336 units^3

Step-by-step explanation:

The volume of a cylinder can be found using:

$v=\pi r^2h$

We have the area of the base, but not the radius

$a=\pi r^2$

We know the area is $36\pi$ , so we can substitute that in for a

$36\pi =\pi r^2$

We want to find r, so we need to isolate it

Divide both sides by pi

36=r^2

Take the square root of both sides

6=r

Now we know the radius, and can substitute it into the volume formula, and we can substitute the height (10) in

$v=\pi r^2h$

$v=\pi 6^210$

Solve the exponent

$v=\pi 36(10)$

$v=\pi 360$

v=1130.97336

The volume is 1130.97336 units^3

6 0

3 years ago

How to answer a problem that says 5 ro the 4 power over 5

Eddi Din [679]

$\bf ~~~~~~~~~~~~\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} \qquad \qquad \cfrac{1}{a^n}\implies a^{-n} \qquad \qquad a^n\implies \cfrac{1}{a^{-n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{5^4}{5}\implies 5^4\cdot 5^{-1}\implies 5^{4-1}\implies 5^3\implies 125$

4 0

3 years ago

Amira has 3/4 of a bag of cat food. her cat eats 3/4 lbs of a bag per week

Stels [109]

Answer:

1 week

Step-by-step explanation:

The correct question is

Amira has 3/4 of a bag of cat food .Her cat eats 3/4 of a bag per week . How many weeks will the food last ?

we know that

To determine how many weeks her food will last, we take the amount of food and divide by how much she feeds her cats.

3/4 bag ÷ 3/4 bag per week

$\frac{3}{4}: \frac{3}{4}$

Multiply in cross

$\frac{3*4}{4*3}=1\ week$

8 0

3 years ago

Write a number of grams between 10 and 20, and then write an equivalent amount in milligrams.

oksano4ka [1.4K]

Answer:

15 grams and 15000 milligrams

Step-by-step explanation:

3 0

2 years ago

Dude is making 12 pounds of nut mixture with macadamia nuts and almonds. Macadamia nuts cost $9 per pound and almonds cost $5.25

pshichka [43]

Number of pounds of macadamia nuts is 8 pounds and number of pounds of almonds is 4 pounds.

Step-by-step explanation:

Step 1:

Given total pounds of mixture = 12 pounds, cost of macadamia nuts per pound = $9, cost of almonds per pound = $5.25, total cost of mixture per pound = $7.75.

Let number of pounds of macadamia nuts be x and number of pounds of almonds be 12-x.

Step 2:

Form an equation using the above information.

⇒ 9x + 5.25 (12-x) = 12 × 7.75

⇒ 9x + 63 - 5.25x = 93

⇒ 9x - 5.25x = 30

⇒ 3.75x = 30

⇒ x = 8

Number of macadamia nuts is 8 pounds.

Step 3:

Calculate number pounds of almonds

⇒ Number of pounds of almonds = 12 - x = 4 pounds.

5 0

2 years ago