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3 years ago

#15

Mathematics

2 answers:

Natasha2012 [34]3 years ago

5 0

$15(5) + 12(10) \\ 75 + 120 \\ 195$

guapka [62]3 years ago

4 0

Answer:

$195

Step-by-step explanation:

the expression given 15a + 12c

a= 5

c=10

we replace the variables in our expression to form a new one.

15 multiplied by 5 is 75

12 multiplied by 10 is 120

add the two costs of children and adults and you get 195 dollars

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Simplify sqrt 8y/sqrt y

Eddi Din [679]

$\frac{\sqrt{8y} }{\sqrt{y} }$

Answer:

$2\sqrt{2}$

I turned the numerator into an exponent: $2 \frac{3}{2}$

$\frac{2^{\frac{3}{2}}\sqrt{y}}{\sqrt{y}}$

The $\sqrt{y}$ will cancel out, leaving $2 \frac{3}{2}$ .

$2^{\frac{3}{2}}=2\sqrt{2}$

Hope this helps!!!

3 0

3 years ago

Read 2 more answers

Which is the solution to the equation represented by the model below

Kruka [31]

Answer:

Third option, $x=2$

Step-by-step explanation:

By observation, we can infer that

$3x+8=4x+6$ .

Subtract 8 from both sides:

$3x+8-8=4x+6-8$

$3x=4x-2$

Subtract 4x from both sides:

$3x-4x=4x-2-4x$

$-x=-2$

Divide both sides by -1:

$\frac{-x}{-1}=\frac{-2}{-1}$

$x=2$

5 0

3 years ago

Read 2 more answers

A turtle crawling at a rate of .1 (mi)/(h ) passess a resting bunny that rests for 30 minutes but moves 5 (mi)/(h ). How many fe

antiseptic1488 [7]

The bunny needs to run approximately 269.39 feet

Solution:

Let "x" be the number of hours passed since the turtle passed the buuny

Given that turtle crawls at a rate of 0.1 miles per hour

Then for "x" hours, distance traveled by turtle is 0.1x miles

Also given that bunny moves at 5 miles per hour but rests for 30 minutes

1 hour = 60 minutes

Therefore,

30 minutes = 0.5 hours

So the bunny rests for 0.5 hours

Thus the distance traveled by bunny is 5(x - 0.5) miles

To find when they will pass each, set the two distances equal to each other

0.1x = 5(x - 0.5)

0.1x = 5x - 2.5

5x - 0.1x = 2.5

4.9x = 2.5

x = 0.51

Thus the distance ran by buuny is:

Distance = 5(x - 0.5)

Substitute x = 0.51

Distance = 5(0.51020 - 0.5)

Distance = 5(0.010) = 0.05102 miles

Convert to feet

1 mile = 5280 feet

0.05102 miles = 0.05102 x 5280 feet = 269.39 feet

Thus the bunny needs to run approximately 269.39 feet

3 0

3 years ago

In a random sample of 60 shoppers 12 said that they only buy products that are on sale. If there are 3000 shoppers at the mall t

dimulka [17.4K]

Answer:

Number of shopper buy from sale [3,000shopper] = 600 (Approx.)

Step-by-step explanation:

Given:

Number of shopper in mall = 60

Number of shopper buy from sale = 12

Find:

Number of shopper buy from sale if total number number of shopper are 3,000

Computation:

Number of shopper buy from sale [3,000shopper] = 3000[Number of shopper buy from sale/Number of shopper in mall]

Number of shopper buy from sale [3,000shopper] = 3000[12 / 60]

Number of shopper buy from sale [3,000shopper] = 3000[1/5]

Number of shopper buy from sale [3,000shopper] = 600 (Approx.)

4 0

3 years ago

the number of cakes baked varies directly with the number of hours the caterers work. What is the ratio of cakes baked to hours

aniked [119]

The required ratio of cakes baked to hours worked = 30: 1

Concept:

We know that a ratio is a term in mathematics that signifies how many times one value contains the other.

Given: The number of cakes baked varies directly with the number of hours the caterers work.

Explanation:

From the given graph, it can observe that,

30 cakes are made in 1 hour. ( When we draw a vertical line from x = 1 to the curve, we get y=30 i.e. point is ( 1,30).

The required ratio of cakes baked to hours worked = 30: 1

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5 0

3 years ago