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3 years ago

What's rate of $ 7.96 for 5 pounds

Mathematics

1 answer:

BartSMP [9]3 years ago

7 0

To find the rate, we have to divide both numbers by 5. So the rate will be $1.592 for 1 pound.

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A coin collector has $45 in just dimes and quarters in a piggy bank he counted all the coins and there are 240 total how many ea

Whitepunk [10]

Answer:

The number of <u>dimes are 100</u> and number of <u>quarters are 140.</u>

Step-by-step explanation:

Let the number of dimes be 'd' and quarters be 'q'.

Given:

The sum of amount is $45.

The total number of coins are 240.

1 dime = $0.10

∴ 'd' dimes = $\$0.10d$

1 quarter = $0.25

∴ 'q' quarters = $\$0.25q$

Now, as per question:

$d+m=240-----1\\0.1d+0.25q=45---2$

Multiplying equation (1) by -0.1 and adding the result to equation (2), we get:

$-0.1d-0.1q=240\times -0.1\\-0.1d-0.1q=-24\\0.1d+0.25q=45\\-----------\\0.15q=21\\q=\frac{21}{0.15}=140\\\\d=240-q=240-140=100$

Therefore, the number of dimes are 100 and number of quarters are 140.

7 0

3 years ago

The length of a rectangle is 3ft less than double the width, and the area of the rectangle is 14ft^2 find the dimensions of rect

german

Answer: $4\times 3.5\ ft^2$

Step-by-step explanation:

Given

area of the rectangle is $A=14\ ft^2$

Suppose width is given by w

So, length is $l=2w-3$

The area of a rectangle is $A=l\times w$

putting values

$\Rightarrow A=(2w-3)w\\\Rightarrow 14=2w^2-3w\\\Rightarrow 2w^2-3w-14=0\\\Rightarrow 2w^2-7w+4w-14=0\\\Rightarrow w(2w-7)+2(2w-7)=0\\\Rightarrow (2w-7)(w+2)=0\\\\\Rightarrow w=\dfrac{7}{2}\ ft$

length is $l=4\ ft$

6 0

2 years ago

Please help me with this and explain how u did it step by step

joja [24]

The domain of the third piece of the graph is contained in interval <u>B. (12, 20)</u>.

<h3>What is the domain of a graph?</h3>

The domain of a graph consists of all the input values shown on the x-axis.

The input values (domain) are shown on the x-axis, unlike the range, whose output values are shown on the y-axis.

Therefore, the domain comprises the independent variables or values, which can be determined using the function, y = f(x).

Thus, the domain of the third piece of the graph can be determined in interval <u>B. (12, 20)</u>.

Learn more about domain and range at brainly.com/question/10197594 and brainly.com/question/2264373

#SPJ1

6 0

1 year ago

The supplement of an angle is 50 less than 3 times its complement, find the measure of the angle

Lelechka [254]

Answer:

$20^{\circ}$ .

Step-by-step explanation:

Two angles are supplements of one another if their sum is $180^{\circ}$ .

Two angles are complements of one another if their sum is $90^{\circ}$ .

Let $x^{\circ}$ be the measure of the angle in question.

The supplement of this angle would be $(180 - x)^{\circ}$ .

The complement of this angle would be $(90 - x)^{\circ}$ .

According to the question:

$(180 - x) + 50 = 3\, (90 - x)$ .

Solve this equation for $x$ :

$x = 20$ .

Thus, this angle would measure should $20^{\circ}$ .

The supplement of this angle would measure $(180 - 20)^{\circ} = 160^{\circ}$ . The complement of this angle would measure $(90 - 20)^{\circ} = 70^{\circ}$ .

Three times the complement of this angle would be $3 \times 70^{\circ} = 210^{\circ}$ , which is indeed $50^{\circ}$ greater than the supplement of this angle.

8 0

2 years ago

Eliza went into a store and spent $97.91. She bought 3 pairs of pants and one dress. The pants cost $16 each. How much money did

creativ13 [48]

The answer should be 49.91

3 0

3 years ago