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2 years ago

If carpet cost $3.25 per square yard, how much would it cost to carpet a rectangular room that is 9 yards wide and 11 yards

Mathematics

1 answer:

jasenka [17]2 years ago

5 0

Answer:

$321.75

Step-by-step explanation:

The total area of the carpet needed is 9(11) = 99 sq yards. If costs $3.25 per yard, so we pay..

$3.25(99) = $321.75

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A granola bite contains 27 calories. Most of the calories come from c grams of carbohydrates. The rest come from other ingredien

joja [24]

Answer:

a. 5 represents the number of calories that come from other ingredients.

b. Neither 8 nor 3 satisfy the given equation, so neither 8 nor 3 can be the solution to the equation.

c. <em>c = 5.5</em>

Step-by-step explanation:

We are given the equation:

$4c + 5 = 27$

Where $c$ represents the grams of carbohydrates

27 is the total number of calories that are received by the granola bite.

4 is the number of calories from 1 gram of carbohydrates and

5 is the number of calories that are received from other ingredients.

Answer of Part a:

5 is the number of calories that are received from other ingredients.

Part b:

Let us take left hand side (LHS) and put values of c = 8 and 3 one by one.

So, LHS becomes:

4 \times 8 + 5 = 37 $\neq RHS\ i.e.\ 27$

4 \times 3 + 5 = 17 $\neq RHS\ i.e.\ 27$

So, Priya is correct that neither 8 or 3 could be solution.

Part c:

$4c + 5 = 27\\\Rightarrow 4c = 22\\\Rightarrow \bold{c = 5.5}$

So, solution to the equation is: <em>c = 5.5</em>

8 0

2 years ago

A road perpendicular to a highway leads to a farmhouse located d miles away. An automobile traveling on this highway passes thro

pshichka [43]

Answer:

$\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+900}}$

Step-by-step explanation:

A road is perpendicular to a highway leading to a farmhouse d miles away.

An automobile passes through the point of intersection with a constant speed $\frac{dx}{dt}$ = r mph

Let x be the distance of automobile from the point of intersection and distance between the automobile and farmhouse is 'h' miles.

Then by Pythagoras theorem,

h² = d² + x²

By taking derivative on both the sides of the equation,

$(2h)\frac{dh}{dt}=(2x)\frac{dx}{dt}$

$(h)\frac{dh}{dt}=(x)\frac{dx}{dt}$

$(h)\frac{dh}{dt}=rx$

$\frac{dh}{dt}=\frac{rx}{h}$

When automobile is 30 miles past the intersection,

For x = 30

$\frac{dh}{dt}=\frac{30r}{h}$

Since $h=\sqrt{d^{2}+(30)^{2}}$

Therefore,

$\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+(30)^{2}}}$

$\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+900}}$

3 0

3 years ago

M + 3n = 7 ; n = -2, 0 , 1

tiny-mole [99]

Step-by-step explanation:

for rhis question are u tryna find m?

4 0

3 years ago

Read 2 more answers

I neeeeeeeeeeeeeeeeeeed help

iris [78.8K]

5.8 * 10^7

2.5* 10 ^ -3

5 0

2 years ago

4. Sam's parents are teachers who commute 45 miles roundtrip to work 5 2 days a week. His parents spend $38 on gasoline each wee

Marat540 [252]

<h2>Answer:</h2><h2>The correct option is d. (i) and (ii)</h2>

Step-by-step explanation:

The total miles covered per day = 45

No of commuting days in a week = 5

Total miles in a week = 45 * 5 = 225

The total amount spent on gasoline = $ 38

Cost of gasoline per gallon = $ 2.48

The number of gallons consumed per week = $\frac{38}{2.48}$ = 15.32 gallons of gasoline per week.

This confirms (ii) statement

The amount spend on gasoline per mile = $\frac{38}{225}$ = $0.17

This confirms (i) statement

The number of miles per gallon of gasoline = $\frac{225}{15.32}$ = 14.68 miles

The statement (iii) is false.

7 0

2 years ago