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4 years ago

$2.99 toy ; 30% discount

1 answer:

5 0

If a toy that costs $2.99 is at a 30% discount then you first need to make 30% a decimal.

30% = .3

Now multiply $2.99 by .3 to find the discount which is .897

Since .897 has a thousandths place we need to round that which would make it 90 cents.

Now we know there is a 90 cent discount on a $2.99 toy.

take $2.99 - 90 cents = $2.09

The toy costs $2.09 after a 30% discount

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2x1= how much answer

Vilka [71]

It’s two

Explanation:
2x1 = 2

5 0

3 years ago

Please , can someone answer thisss TmT

Tems11 [23]

Answer:

Step-by-step explanation:

We have that x1=−1, y1=5, x2=3, y2=7.

Plug the given values into the formula for a slope: m=7−(5)3−(−1)=12.

Now, the y-intercept is b=y1−mx1 (or b=y2−mx2, the result is the same).

b=5−(12)(−1)=112

Finally, the equation of the line can be written in the form y=b+mx:

y=112+x2

ANSWER

5 0

3 years ago

Read 2 more answers

What is the relationship between capacity and fluid ounces

horrorfan [7]

Capacity is the maximum that the object can hold.

Fluid Ounce is a U.S Customary Unit Measurement for liquid.

Hope it helps! :)

6 0

3 years ago

Read 2 more answers

To factor the expression 3x2 – 9x, Caleb found the GCF as shown.

Burka [1]

Answer:

Caleb’s error was :

instead of selecting the least exponent ,Caleb took the highest exponent.

Step-by-step explanation:

3x² = 3 • x • x

(in this factorization the exponent of 3 is 1 and the exponent of x is 2)

9x = 3 • 3 • x

(in this factorization the exponent of 3 is 2 and the exponent of x is 1)

• The common factors of 3x² and 9x are 3 and x

In order to determine the GCF ,we have to Compare the exponents of the common factors then take the numbers which have the least exponent value.

• in the factorization of 3x² the exponent of 3 is 1

and in the factorization of 9x the exponent of 3 is 2

The least exponent is 1 Then we take it.

• in the factorization of 3x² the exponent of x is 2

and in the factorization of 9x the exponent of x is 1

The least exponent is 1 Then we take it.

Conclusion:

GCF(3x² , 9x) = 3¹ × x¹ = 3x

8 0

2 years ago

Find the volume and surface area of the composite figure. Give your answer in terms of π. HELP ASAP!!

NARA [144]

Answer:

Part 1) The volume of the composite figure is $620.7\pi\cm^{3}$

Part 2) The surface area of the composite figure is $273\pi\ cm^{2}$

$V=620.7\pi\cm^{3}, S=273\pi\ cm^{2}$

Step-by-step explanation:

Part 1) Find the volume of the composite figure

we know that

The volume of the figure is equal to the volume of a cone plus the volume of a hemisphere

Find the volume of the cone

The volume of the cone is equal to

$V=\frac{1}{3} \pi r^{2} h$

we have

$r=7\ cm$

Applying Pythagoras Theorem find the value of h

$h^{2}=25^{2} -7^{2} \\ \\h^{2}= 576\\ \\h=24\ cm$

substitute

$V=\frac{1}{3} \pi (7)^{2} (24)$

$V=392 \pi\cm^{3}$

Find the volume of the hemisphere

The volume of the hemisphere is equal to

$V=\frac{4}{6}\pi r^{3}$

we have

$r=7\ cm$

substitute

$V=\frac{4}{6}\pi (7)^{3}$

$V=228.7\pi\cm^{3}$

therefore

The volume of the composite figure is equal to

$392 \pi\cm^{3}+228.7\pi\cm^{3}=620.7\pi\cm^{3}$

Part 2) Find the surface area of the composite figure

we know that

The surface area of the composite figure is equal to the lateral area of the cone plus the surface area of the hemisphere

Find the lateral area of the cone

The lateral area of the cone is equal to

$LA=\pi rl$

we have

$r=7\ cm$

$l=25\ cm$

substitute

$LA=\pi(7)(25)$

$LA=175\pi\ cm^{2}$

Find the surface area of the hemisphere

The surface area of the hemisphere is equal to

$SA=2\pi r^{2}$

we have

$r=7\ cm$

substitute

$SA=2\pi (7)^{2}$

$SA=98\pi\ cm^{2}$

Find the surface area of the composite figure

$175\pi\ cm^{2}+98\pi\ cm^{2}=273\pi\ cm^{2}$

4 0

3 years ago