7.59. 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, then how long total will it take to build the road?
Hint: Problems involving rates and work can often be solved by thinking about how much work is done per unit of time.
Hint: How long would it take one worker to build the whole road? What fraction of the road does one worker complete in one day?

Answer:

Recall 1000m=1km

hence

0.008*1000=8

Ans 8m

Answer:

i think its 16

Step-by-step explanation:

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: 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:

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:

41ft²

Step-by-step explanation :

8ft - 2ft = 6ft

6ft - 2ft = 4ft

4ft - 1ft = 3ft

3ft * (8ft + 2ft) / 2 = 15ft²

1ft * (8ft + 2ft) = 10ft²

8ft * 2ft = 16ft²

Total : 16 + 15 + 10 = 41ft²

(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

Hello!

The degree of the term will be the highest power to which a variable in the term is raised.

Hence, the degree of 3m²n⁴ is [tex]\fbox {4}[/tex]

Answer:

Step-by-step explanation:

25 - 4 = 21

2.7*21=56.7m

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:

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:

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:

31987/10 or 3198 7/10

Step-by-step explanation:

Hi!! Here's how to solve your problem!!

Step 1: Convert decimal to fraction.

3198.7 = 31987 over 10 (31987/10)

(You add a 1 under the decimal point and there is a 7 next to the decimal point so you add one 0 since there aren't any numbers after 7.)

Step 2: Change the fraction (if you want)

31987/10 = 3198 and 7 over 10

31987 ÷ 10 = 3198 remainder 7 so it will be 3198 7/10.

I hope this helps!!!

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.

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.

Learn more about proportion on:

https://brainly.com/question/1781657

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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

Learn more about unitary method here:

https://brainly.com/question/22056199

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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:

Discount = 20%

Original price = $60

Discounted price = $48

Step-by-step explanation:

To find the amount of the discount, we take the original price and multiply it by the rate of the discount. In this case, we would take $60 and multiply it by 0.20 to get $12. This is the amount of the discount.

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:

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.

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.

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:

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:

The average speed for the journey is 6.4 mph.

Step-by-step explanation:

Given:

If you walk for 45 minutes at a rate of [tex]$4 \mathrm{mph}$[/tex] and then run for 30 minutes at a rate of [tex]$10 \mathrm{mph}$[/tex], then how many miles have you gone at the end of one hour and 15 minutes Find the average speed for the journey

Step 1 of 1

We can compute the walking distance and running distances separately, then add them.

You walk for 45 minutes, which is [tex]\frac{3}{4}$[/tex] hours, at a rate of [tex]$4 \mathrm{mph}$[/tex], so the walking distance is [tex](4 \mathrm{mph})\left(\frac{3}{4}\right.$ hours $)=3$[/tex] miles. You run for 30 minutes, which is [tex]\frac{1}{2}$ hour, at a rate of $10 \mathrm{mph}$[/tex], so the running distance is [tex]$(10 \mathrm{mph})\left(\frac{1}{2} h o u r\right)=5$[/tex] miles.

So the total distance you cover is 3+5=8 miles.

Now we can also compute the average speed for the journey.

You covered 8 miles in [tex]$\frac{5}{4}$[/tex] hours, so your average speed was

[tex]$$\begin{aligned}&\frac{8 \text { miles }}{\frac{5}{4} \text { hours }}=\frac{8}{\frac{5}{4}} \mathrm{mph} \\&\frac{32}{5} \mathrm{mph}=6.4 \mathrm{mph}\end{aligned}$$[/tex]

Answer:

The answer is the second option down.

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]