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2 years ago

The ratio of Eric's red shoes to blue shoes is 3:4. If Eric has 12 red shoes, how many blue shoes does he have?

Mathematics

1 answer:

ludmilkaskok [199]2 years ago

4 0

Answer:

Step-by-step explanation:

red: blue

3 4

There are 12 red shoes

12/3 = 4

Multiply each side by 4

red: blue

3*4 4*4

12 16

There are 16 blue shoes

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Compute the total cost of the meal to the nearest cent: meal costs $24.62 plus 6% tax and 15% tip.

matrenka [14]

The total cost of the meal is $30.02

Step-by-step explanation:

Given,

Cost of meal = $24.62

Tax = 6%

Tax amount = 6% of cost of meal

$Tax\ amount=\frac{6}{100}*24.62\\Tax\ amount=\frac{147.72}{100}\\Tax\ amount=\$1.48$

Cost after sales tax = 24.62+1.48 = $26.10

Tip = 15%

Tip amount = 15% of cost after sales tax

$Tip\ amount=\frac{15}{100}*26.10\\\\Tip\ amount=\frac{391.5}{100}\\Tip\ amount=\$3.92$

Total cost of meal = Cost after sales tax + Tip amount

Total cost of meal = 26.10+3.92 = $30.02

The total cost of the meal is $30.02

Keywords: percentage, sales tax

Learn more about percentages at:

#LearnwithBrainly

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2 years ago

Joshua is going kayaking with a group during one of his vacation days. In his vacation planning, he budgeted $50 for a kayak ren

pochemuha

Answer: Divide Kayak budget by rental rate

Step-by-step Explanation:

As Joshua is renting for himself alone, the two available options would be the Single Kayak and the Single Sea Kayak.

He can determine the number of hours to rent a Kayak for by dividing his Kayak Budget by the rental rate per hour of the 2 options available to him.

<h2>Single Kayak</h2>

Budget available = $50

Rental rate = $15 per hour

Hours he can rent = 50/15

= 3.33 hours

<h2>Single Sea Kayak</h2>

Budget available = $50

Rental rate = $18 per hour

Hours he can rent = 50/18

= 2.78 hours

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2 years ago

A scientist begins an experiment with a culture of 5 bacteria cells. Every hour, the number of bacteria cells triples. Which equ

Ann [662]

Answer:

y= 3(5)x

Step-by-step explanation:

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2 years ago

If 1 mile is equal to 1.6 kilometers, convert 50 kilometers to miles.

Free_Kalibri [48]

1 mile = 1.6 km
x = 50 × 1.6
x = 80 miles

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3 years ago

Find the volume and area for the objects shown and answer Question

klio [65]

Step-by-step explanation:

You must write formulas regarding the volume and surface area of the given solids.

$\bold{\#1\ Rectangular\ prism:}\\\\V=lwh\\SA=2lw+2lh+2wh=2(lw+lh+wh)\\\\\bold{\#2\ Cylinder:}\\\\V=\pi r^2h\\SA=2\pi r^2+2\pi rh=2\pir(r+h)\\\\\bold{\#3\ Sphere:}\\\\V=\dfrac{4}{3}\pi r^3\\SA=4\pi r^2$

$\bold{\#4\ Cone:}\\\\V=\dfrac{1}{3}\pi r^2h\\\\\text{we need calculate the length of a slant length}\ l\\\text{use the Pythagorean theorem:}\\\\l^2=r^2+h^2\to l=\sqrt{r^2+h^2}\\\\SA=\pi r^2+\pi rl=\pi r^2+\pi r\sqrt{r^2+h^2}=\pi r(r+\sqrt{r^2+h^2})\\\\\bold{\#5\ Rectangular\ Pyramid:}\\\\V=\dfrac{1}{3}lwh\\\\$

$\\\text{we need to calculate the height of two different side walls}\ h_1\ \text{and}\ h_2\\\text{use the Pythagorean theorem:}\\\\h_1^2=\left(\dfrac{l}{2}\right)^2+h^2\to h_1=\sqrt{\left(\dfrac{l}{2}\right)^2+h^2}=\sqrt{\dfrac{l^2}{4}+h^2}=\sqrt{\dfrac{l^2}{4}+\dfrac{4h^2}{4}}\\\\h_1=\sqrt{\dfrac{l^2+4h^2}{4}}=\dfrac{\sqrt{l^2+4h^2}}{\sqrt4}=\dfrac{\sqrt{l^2+4h^2}}{2}$

$\\\\h_2^2=\left(\dfrac{w}{2}\right)^2+h^2\to h_2=\sqrt{\left(\dfrac{w}{2}\right)^2+h^2}=\sqrt{\dfrac{w^2}{4}+h^2}=\sqrt{\dfrac{w^2}{4}+\dfrac{4h^2}{4}}\\\\h_2=\sqrt{\dfrac{w^2+4h^2}{4}}=\dfrac{\sqrt{w^2+4h^2}}{\sqrt4}=\dfrac{\sqrt{w^2+4h^2}}{2}$

$SA=lw+2\cdot\dfrac{lh_1}{2}+2\cdot\dfrac{wh_2}{2}\\\\SA=lw+2\!\!\!\!\diagup\cdot\dfrac{l\cdot\frac{\sqrt{l^2+4h^2}}{2}}{2\!\!\!\!\diagup}+2\!\!\!\!\diagup\cdot\dfrac{w\cdot\frac{\sqrt{w^2+4h^2}}{2}}{2\!\!\!\!\diagup}\\\\SA=lw+\dfrac{l\sqrt{l^2+4h^2}}{2}+\dfrac{w\sqrt{w^2+4h^2}}{2}\\\\SA=\dfrac{2lw}{2}+\dfrac{l\sqrt{l^2+4h^2}}{2}+\dfrac{w\sqrt{w^2+4h^2}}{2}\\\\SA=\dfrac{2lw+l\sqrt{l^2+4h^2}+w\sqrt{w^2+4h^2}}{2}$

6 0

2 years ago