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3 years ago

10

Anna sold 1 tie for every 4 shirts. Which proportion would determine how many shirts she would need to sell along with 16 ties?

1 answer:

Sophie [7]3 years ago

7 0

Answer:

64 shirts

Step-by-step explanation:

The ratio of ties to shirts is 1:4, so if the number of ties was 16, then you would have to multiply 16(number of ties) by 4(number of shirts), 16 x 4=64. therefore the awnser will be 64 shirts. Your welcome

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For place values that occur to the left of the decimal point, each place value is ten times ______ than the place value to its r

Llana [10]

D. think about it this way. the closer it is to decimal, the closer it is to a whole number which is the "biggest"

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3 years ago

A) work out the radius of the mercury, giving your answer as an ordinary number

guapka [62]

Answer:

a. 2,440 km

b. $1.33*10^{27} kg$

Step-by-step explanation:

a. Diameter of Mercury = $4.88*10^3$

Radius of Mercury = ½ of its diameter = $\frac{4.88*10^3}{2}$

Radius of Mercury = $2.44*10^3$

To convert the radius to ordinary number, multiply 2.44 by 1,000.

Radius of Mercury as an ordinary number = $2.44*1,000 = 2,440 km$

b. Mass of Jupiter = $1.898*10^{27} kg$

Mass of Saturn = $5.68*10^{26} kg$

Difference between mass of Jupiter and mass of Saturn = $1.898*10^{27} - 5.68*10^{26}$ (subtract 5.68 from 1.898 = 5.68. we would retain the largest exponent, which is raised to the lower of 27.)

$= 1.33*10^{27}$

7 0

3 years ago

Solve for x: 2x/5=12/8

Anika [276]

Answer:

x = $3\frac{3}{4}$

Step-by-step explanation:

First, you have to leave 2x by itself on the left side of the equation:

2x = 60/8

Then divide,

x = 15/4

Simplified fraction: x = $3\frac{3}{4}$

5 0

3 years ago

Read 2 more answers

Find the unit rate. Round to the nearest hundredth, if necessary. $130 for 17 ft2. The unit rate is $ /ft2.

finlep [7]

Answer:

201

Step-by-step explanation:

I'm smart ok trust me ON this one if I'M wrong at least I tried

3 0

3 years ago

A baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the vol

k0ka [10]

The length of the rectangular delivery box must be equal to 4 inches.

Let the length of the box be L.

Let the width of the box be W.

Let the height of the box be H.

<u>Given the following data:</u>

Volume of box = 224 cubic inches.

Translating the word problem into an algebraic expression;

$W = 3 + L$ ......equation 1

$H = 4 + L$ ......equation 2.

Mathematically, the volume of a rectangular solid is given by the formula;

$Volume = length * width * height$ .....equation 3.

Substituting the values into equation, we have;

$224 = L * (3 + L) * (4 + L)\\\\224 = (3L + L^{2})* (4 + L)\\\\224 = 12L + 3L^{2} + 4L^{2} + L^{3} \\\\224 = 12L + 7L^{2} + L^{3}$

Rearranging the polynomial, we have;

$L^{3} + 7L^{2} + 12L - 224 = 0$

We would apply the remainder theorem to solve the polynomial.

According to the remainder theorem, if a polynomial P(x) is divided by (x - r) and there is a remainder R; then P(r) = R.

When x = 3

$(x - 3) = 0\\x = 3$

$P(3) = 3^{3} + 7(3^{2}) + 12(3) - 224\\\\P(3) = 27 + 7(9) + 36 - 224\\\\P(3) = 27 + 63 + 36 - 224 = -98 \neq 0$

We would try with 4;

$P(4) = 4^{3} + 7(4^{2}) + 12(4) - 224\\\\P(4) = 64 + 7(16) + 48 - 224\\\\P(4) = 64 + 112 + 48 - 224\\\\P(4) = 224 - 224 = 0$

Therefore, 4 is one of its roots.

Hence, the length of the rectangular delivery box must be equal to 4 inches.

Find more information on polynomial here: brainly.com/question/10689855

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3 years ago