7.5.5. I usually walk from home to work. This morning, I walked for 10 minutes until I was halfway to work. I then realized that I would be late if I kept walking. I ran the rest of the way. I run twice as fast as I walk. How many minutes total did it take me to get from home to work?

The cartoons of 10 be 150 and cartoons of 15 be 100.

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.

Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.

Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.

Given:

total books = 1500

So, cartoons of 10 needed

=1500 / 10

=150 cartoons

and, cartoons of 15 needed

=1500/15

=100 cartoons

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Answer:

Answer:

won: The title of the graph is Baseball Games. On x axis, the label is Number of Months of Practice. On y axis, the label is Number of Games Won. The scale on the y axis is from 0 to 22 at increments of 2, and the scale on the x axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 1 and 1, 3 and 2, 5 and 3, 9 and 4, 10 and 5, 12 and 6, 13 and 7, 14 and 8,17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 1.8 and 2, 5.6 and 4, 9.2 and 6, 13 and 8, 16.5 and 10, 20.5.

Step-by-step explanation:

Answer:

2nd one

Step-by-step explanation:

i think

Answer:

They did not exceed their budget.

Step-by-step explanation:

8(10.95) + 12(11.95) = $231

250 - 231 = $19 savings

Answer: They didn't exceed the budget

Step-by-step explanation:

FACTS:

their budget is $250 dollars.

They buy:

8 sunflowers at 10.95 each

12 roses at 11.95 each.

How much did they exceed their budget? (in other words, by how much did they go over their spending limit?)

Step 1: Find the total amount of money spent on sunflowers.

We know they got 8 sunflowers, and each sunflower cost $10.95.

Total on sunflowers= 10.95x8= $87.60

Step 2: Find the total amount spent on roses

12 roses, each one costs 11.95.

total on roses= 11.95x12=$143.40

Step 3: Find how much was spent

143.4+87.6= 231

They didn't exceed their budget. In fact, they were $19 under their spending limit because 250-231= 19. I double checked my answer.

Answer:

525

Step-by-step explanation:

Multiply 300 by 1.75. You get 525

Answer:

i think its 16

Step-by-step explanation:

Answer:

Step-by-step explanation:

When Colleen was making a common denominator for the two fractions, she should have multiplied the numerator by 8/denominator.

For example,

1/2 with a denominator of 8 would be 4/8 since we must multiply the numerator by 4. (8/2 = 4)

So, her answer should have been 3/8 < 4/8 (which is also 3/8 < 1/2)

Answer:

Step 3 is where Colleen messed up.

Step-by-step explanation:

Answer: 640

Step-by-step explanation:

In this case, we can substitute the word "of" with multiplication.

we have:

40% ×20%×10%×80000

solving this out, you get the answer!

(and yes, I recognize this problem from the aops textbook, if you want a different solution, check 8.21 in the solutions manual)

Answer:

The 40% of 20% of 10% of 80000 is 640.

Step-by-step explanation:

         Step 1: Computing the value

Step 1 of 1

We are asked to find the value 40% of 20% of 10% 80,000 40% of 20% of 10% of 80000

[tex]&=\frac{40}{100} \times \frac{20}{100} \times \frac{10}{100} \times 80000 \\&=\frac{40}{100} \times 1600 \\&=640\end{aligned}$$[/tex]

Answer:

256

Step-by-step explanation:

so there is 4 rectangles, 1 square, and 4 triangles within the composite figure in the question.

so basically you find the area of each of those shapes and add them together and that's your answer.

the rectangles width is 4 and length is 12, to find the area of a rectangle you do length times width so 4 times 12 which is 48, you have 4 rectangles so 48 times 4, which is 192.

the squares sides are 4 so you multiple two of the sides so 4 times 4 which is 16.

now we have the triangles, the formula for the area of a triangle is A=[tex]\frac{hx_{b}b }{2}[/tex], so b is base, the base is 4, h is height, the height is 6, so you plug in those numbers in the formula and you get 12. you have 4 triangles so 12 times 4 which is 48.

so now you add them all together 192 + 16 + 48 = 256

Answer:

A D E

Step-by-step explanation:

A) The formula for the area  of a  triangle is [tex]\frac12 bh[/tex]

D) The base is 8 and the height is 14 so the area of the triangle is 56 meters squared.

E) Volume is [tex]56\times7=392[/tex] meters cubed.

Have a nice day :)

Answer:

Explanation

Given:- Katie wants a fancy new music player that costs $300

. Katie can buy it in her home state and pay  8% sales tax, or she can drive to a neighboring state and pay only  5% sales tax

To Find:- To determine the cost Katie saves on the player if she drives to the neighboring state

The difference between the sales tax of the home state and the neighboring state provides the percentage of sales tax . Then, multiplying the determined percentage of sales tax on the new music player would be the cost Katie saves on the player if she drives to the neighboring state.

Step-by-step explanation:

                                  =8%-5%

                                   =3%

                                   =300*3%

                                   =300*(3/100)

                                   =3*3

                                   =$9

The amount Katie saves on the new music player if she drives to the neighboring state is $9

Answer:

Katie saves $9.

Step-by-step explanation:

Buy it in her home:

8% of $300 = $24

Buy it in neighbouring state:

5% of $300 = $15

How much she save's (Answer):

She saves $9 because 24 - 15 = 9.

Answer:

4/5 is greater thwn 5/8

Step-by-step explanation:

because ot just is

Answer:

Possible answers are 5/6, 3/4, etc.

Step-by-step explanation:

Many different ratios are greater than 5/8. If I wrote them all it would take FOREVER...

5/8 is greater than 1/2, therefore, ratios: 3/6, 2/4, etc. would not work.

I think you wrote the question wrong and forgot to type the options.

Sorry.

Answer:

1. The difference of two odd numbers is a multiple of 2

2. | -56 | = 56

Step-by-step explanation:

1. Since the difference between two odd numbers is always even, this means the difference of two odd numbers is a multiple by 2. This is because all even numbers are divisible by 2.

2. The absolute value of | -56 | would be 56

Answer:

24 days.

Step-by-step explanation:

First lets look at the facts.

400 ducks can eat a bunch of feed in 30 days.

That means that 200 ducks would take 60 days.

100 ducks would take 120 days.

Now, we must multiply 100 by 5 to get 500, the target amount of ducks, and divide 120 by 5 to get 24. So, 500 ducks can eat a reservoir of feed in 24 days.

Answer:

24 days

Step-by-step explanation:

It is an inverse proportion, the more ducks the less days the food lasts

400 ----- 30

500 ----- X

[tex]x=\frac{(400)(30)}{500} =\frac{12000}{500} =24[/tex]

Hope this helps

Answer: 1,626 cubic meters

Step-by-step explanation:

V= lwh

V= length x with x height

Each number isn't specified (i dont know which numbers represent the width, length, and height since it isn't said) but that doesn't matter because according to the commutative property , you can multiply in any order and still get the same result.

So V= 15.8 x 24.5 x 4.2

V= 1,625.82

Rounded to the nearest cubic meter: 1,626 because 1625.82 becomes 1625.8, which, to the nearest whole number, is 1,626.

(x+y)=7

Step-by-step explanation:

because the x plus y was squared,we find the square root of the 49 which is 7 and the answer remains (x+y)=7

Answer:

The number of days it takes to complete the work is 15 days.

Step-by-step explanation:

Given:

Five workers together can build a road in 20 days. Suppose every worker works at the same rate. If three workers work on the road for 10 days before eleven more workers join them

Find:

the numbers of days it takes to complete the work

Step 1 of 1

Because 5 workers can build a road in 20 days, each worker can build [tex]$\frac{1}{5}$[/tex] of a road in 20 days.

Therefore, each worker can build 1 road working alone in [tex]$20 \cdot 5=100$[/tex] days.

So, each worker builds [tex]$\frac{1}{100}$[/tex] road each day.

Therefore, three workers together build [tex]$\frac{3}{100}$[/tex] of a road each day, so in 10 days they build $10.

[tex]$\frac{3}{100}=\frac{3}{10}$[/tex] of a road.

At this point, they have [tex]$1-\frac{3}{10}=\frac{7}{10}$[/tex] of the road to the finish.

After the 11 extra workers join in, the 14 workers build [tex]$\frac{14}{100}$[/tex] of the road each day.

So, to finish the remaining [tex]$\frac{7}{10}$[/tex] of a road, the workers must work for

[tex]$$\begin{aligned}\frac{\frac{7}{10} \text { road }}{\frac{14}{100} \frac{\text { ruad }}{\text { day }}} &=\frac{7}{10} \cdot \frac{100}{14} \text { days } \\&=5 \text { days. }\end{aligned}$$[/tex]

Therefore, the road is built in 10+5=15 days

It will take 15 days to finish the road.

Proportion is defined as where two or more ratios are set to be equal to each other.

If two quantities are directly proportional, if one increases or decreases, other also increases or decreases simultaneously.

If two quantities are inversely proportional, if one increases, other decreases and vice versa.

Here,

Number of days and number of workers are directly proportional to the road built.

Number of workers to build the road is inversely proportional to number of days to build the road.

Let R be the total road need to be built.

Five workers together can build a road in 20 days.

Road built by 5 workers in 20 days = R

Road built by 1 worker in 20 days = R/5

Road built by 1 worker in 1 day = (R/5) / 20

                                                   = R/100

Now, three workers work on the road for 10 days.

We have,

Road built by 1 worker in 1 day = R/100

Road built by 3 workers in 1 day = 3R/100

Road built by 3 workers in 10 days = (3R/100) × 10

                                                          = 30R/100

Remaining road to complete = R - (30R/100)

                                                = 70R/100

                                                = 7R/10

This is the time when eleven more workers joined.

That is, total number of workers = 3 + 11 = 14

We have,

Number of days taken by 5 workers to complete R = 20 days

Number of days taken by 1 worker to complete R = 20 × 5 = 100 days

Number of days taken by 1 worker to complete 7/10 of R = 100 × [tex]\frac{7}{10}[/tex]

                                                                                              = 70 days

Number of days taken by 14 workers to complete 7/10 of R = 70/14

                                                                                                   = 5 days

Total number of days taken = 10 + 5 = 15 days

Hence if three workers work on the road for 10 days before eleven more workers join them, then it will take a total of 15 days to build the road.

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Answer:

Recall 1000m=1km

hence

0.008*1000=8

Ans 8m

Answer:

[tex]-\frac{77}{3}[/tex]

Step-by-step explanation:

So we have the equation: [tex]3\frac{1}{2} + (-7) * (2\frac{2}{3} + 1\frac{1}{2})[/tex]. and I'm assuming you meant to do mixed fractions and not actually multiplying. 2 * 2/3. So the first thing to do is follow PEMDAS which essentially says Parenthesis first, Exponents next, Multiplication or Division, and then Addition or Subtract. So let's start by evaluating the 2 2/3 and 1 1/2. The first step is to combine 2 into the 2/3 and the 1 into 1/2. This is done by multiplying the 2 by the denominator of 3, and adding it to the numerator so: [tex]2\frac{2}{3} = > \frac{(2*3)+2}{3} = > \frac{8}{3}[/tex]. And you do this for the 1/2 as well: [tex]1\frac{1}{2} = > \frac{(2*1)+1}{2}= > \frac{3}{2}[/tex].

Now when adding fractions, you can only add them when they have the same denominator, so we have the get 3/2 and 8/3 to have the same denominator. You can list the multiplies of 2 and 3 to try to find a LCM, but in this case, I'll just multiply 2 and 3, since they're really small numbers, also because 6 is the LCM. [tex]\frac{8}{3} * \frac{2}{2} = \frac{16}{6}[/tex]. And now do this to the 3/2 you get: [tex]\frac{3}{2} * \frac{3}{3} = \frac{9}{6}[/tex]. Now the inside of the parenthesis is: [tex]\frac{9}{6} + \frac{16}{6} = \frac{25}{6}[/tex]. So now we have the equation: [tex]3\frac{1}{2} -7 * \frac{25}{6}[/tex] . Also notice how I got ride of the plus sign and made it negative? Think of it as having a 1 in front and simply distributing that to the -7, 1*(-7) becomes -7.

Now to multiply the fraction by a whole number you simply multiply the denominator and numerator, and you can think of the denominator of a whole number as a 1. So this gives you: [tex]\frac{-7}{1} * \frac{25}{6} = \frac{-7 * 25}{1 * 6} = -\frac{175}{6}[/tex]. Now we have the equation: [tex]3\frac{1}{2} - \frac{175}{6}[/tex]. And to subtract these two numbers I'll make the 3 1/2 a fraction by multiplying the 3 by the denominator and adding it to the 1 which should become 7/2. And after that multiply both sides by 3/3 to get 21/6 so they have the same denominator. This gives you the equation: [tex]\frac{21}{6} - \frac{175}{6} = \frac{21-175}{6} = -\frac{154}{6}[/tex]. Which can simplify by dividing both sides by 2 to get: [tex]-\frac{77}{3}[/tex]

Answer:

When they finished, the number of potatoes had Christen peeled is 20 potatoes.

Step-by-step explanation:

Given:

Homer began peeling a pile of 44 potatoes at the rate of 3 potatoes per minute.

Four minutes later, Christen joined him and peeled at the rate of 5 potatoes per minute We have to find the number of potatoes Christen has peeled.

Step 1 of 1

Homer peels 3 potatoes a minute, so in the four minutes he works alone, he peels [tex]$3 \cdot 4=12$[/tex] potatoes.

This leaves 44-12=32 potatoes for them to peel together.

Together, they peel 3+5=8 potatoes per minute, so they need

[tex]$\frac{32 \text { potatoes }}{8 \frac{\text { potatuos }}{\text { minute }}}=4$[/tex]minutes

to peel the rest of the potatoes.

Christen peels 5 potatoes a minute for 4 minutes, so she peels [tex]$5 \cdot 4=20$[/tex] potatoes.

The cook will need 9 cups of milk for the banquet dinner.

Since the recipe calls for 2 cups of milk per 8 servings. We can say:

cups of milk / servings = 2 / 8 = 1/4

We can solve for the cups of milk by multiplying both sides of the proportion by 36.

cups of milk for 36 servings = (cups of milk / servings) * 36

                                             = (1 / 4) * 36

                                             = 9

Therefore, 9 cups of milk will be needed for the banquet dinner.

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Answer:

height = 400mm high

Step-by-step explanation:

if 300/60=5

so 80x5=400.

Answer: 11

Step-by-step explanation:

Out of the 3 choices, the last two both give decimals less than one, so we know they won't be greater than 11.

Answer:

since the unknown amount can buy 100 pencils

he bought 70 pencils

therefore $4.50 can buy 30 pencils

so 1 pencils cost $4.50 /30=0.15

Answer:

The answer is the second option down.

Answer:

C, numerical expression

Step-by-step explanation:

B and D mean equations, not expressions. Equations are when one side is equal to the other so we can rule those out. A algebraic expression has variables like X in it, but this doesn't have any variables, so C is your answer, a numerical expression.

Answer:

136

Step-by-step explanation:

Answer:136

Step-by-step explanation: 136

-10+-7 equals -17

-17x-8 equals 136

a negative times a negative equals a positive

Answer:

-5 + (-3) < -5 - (-3)

Step-by-step explanation:

so -5 + (-3) evaluates to -5 - 3 which then evaluates to -8, because you're "going back" on the number line by 3.

-5 - (-3) evaluates to -5 + 3 since the negatives cancel out. this further evaluates to -2. this is greater than the previous value so we use the < (if you put this equation on the right side, since you can technically use > if you put the equation on the left side, just depends on what side you put it on)

-5 + (-3) < -5 - (-3)

Answer:

Step-by-step explanation:

25 - 4 = 21

2.7*21=56.7m