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4 years ago

Using equivalent ratios, which statements are true about the cost per magnet? Check all that apply.

Mathematics

1 answer:

N76 [4]4 years ago

3 0

Answer:

The true statements are:

The cost of 9 magnets is $3.

The cost of 6 magnets is $2.

The cost of 3 magnets is $1.

Step-by-step explanation:

equivalents ratios are two or more ratios that express the same relationship between the numbers involved. In order to calculate the equivalent ratios that are equal, when the numbers involved are divided, they ought to give the same result. In the answer chosen above the ratios in each case are equivalent because:

if the cost of 9 magnets is $3;

9 magnets = $3

∴ 1 magnet = 3/9 = $ 1/3 = 1:3

if the cost of 6 magnets is $2;

6 magnets = $2

1 magnet = 2/6 = $1/3 = 1:3

if the cost of 3 magnets is $1;

3 magnets = $1

∴ 1 magnet = $ 1/3 = 1:3

From the answers obtained, the equivalent ratio of 1 : 3 is the same in all case.

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Yuson must complete 45 hours of community service. She does 3 hours each day. Which linear equation represents the hours Yuson h

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Answer:

y=45-3x

Step-by-step explanation:

we want y, which is the number of hours left. to find this, we take:

hours left=total # of hours required - hours worked/day

so:

y=45-3x

(because x could be any number: 2 days, 3 days, etc.)

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3 years ago

Suppose the FAA weighed a random sample of 20 airline passengers during the summer and found their weights to have a sample mean

Orlov [11]

Answer:

Step-by-step explanation:

Given Parameters

Mean, $x$ = 180

total samples, n = 20

Standard dev, $\sigma$ = 30

$\alpha$ = 1 - 0.95 = 0.05 at 95% confidence level

Df = n - 1 = 20 - 1 = 19

Critical Value, $t_\alpha$ , is given by

$t_{c}=t_{\alpha, df} = t_{0.05,19} = 1.729$

a).

Confidence Interval, $\mu$ , is given by the formula

$\mu = x +/- t_c \times \frac{s}{\sqrt{n} }$

$\mu = 180 +/- 1.729 \times \frac{30}{\sqrt{20} }$

$\mu = 180 +/-11.5985$

$191.5985 > \mu > 168.4015$

b).

Critical Value, $t_{\alpha/2}$ , is given by

$t_{c}=t_{\alpha/2, df} = t_{0.05/2,19} = 2.093$

Confidence Interval, $\mu$ , is given by

$\mu = x +/- t_c \times \frac{s}{\sqrt{n} }$

$\mu = 180 +/- 2.093 \times \frac{30}{\sqrt{20} }$

= 180 +/- 14.0403

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3 years ago

Solve using the Pythagorean theorem.<br>need urgent help

Olin [163]

Answer:

y = 7

Step-by-step explanation:

Mathematically, according to the Pythagoras’ theorem;

The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the two other sides

The hypotenuse is the side that faces the right angle and it is represented by the square root of 85 here

Thus, we have it that;

(√85 )^2= 6^2 + y^2

85 = 36 + y^2

y^2 = 85-36

y^2 = 49

y = √49

y = 7

3 0

3 years ago

Help i need math help

r-ruslan [8.4K]

Answer:

-4.85 pounds after the 3

Step-by-step explanation:

6 0

3 years ago

What is the partial fraction decomposition of<br> 7x squared- 6x +9/<br> 3x(4x squared +9)

Anit [1.1K]

9514 1404 393

Answer:

1/(3x) =(x -2)/(4x^2 +9)

Step-by-step explanation:

The denominator cannot be factored further, so the final form will be ...

A/(3x) + (Bx +C)/(4x^2 +9)

The value of this is ...

(A(4x^2 +9) +(3x)(Bx +C))/(3x(4x^2 +9))

= ((3B+4A)x^2 +3Cx +9A)/(3x(4x^2 +9))

Equating coefficients gives ...

3B+4A = 7

3C = -6 ⇒ C = -2

9A = 9 ⇒ A = 1

Using the found value of A, we find ...

3B +4 = 7 ⇒ B = 1

Then the decomposition is ...

$\dfrac{7x^2-6x+9}{3x(4x^2+9)}=\boxed{\dfrac{1}{3x}+\dfrac{x-2}{4x^2+9}}$

4 0

3 years ago

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