Compare the expressions using >, < or =
-5 + (-3) and -5- (-3)

Hello !

[tex]12 + 2 \times 12 + 5 = 41 \ne62[/tex]

[tex]15 + 2 \times 15 + 5 = 50 \ne62[/tex]

[tex]18 + 2 \times 18 \ + 5 = 59 \ne62[/tex]

[tex]19 + 2 \times19 + 5 = 62[/tex]

The value that holds true for the equation is 19. So, Jenny is 19 years old and her mother is 43 years old.

Have a nice day ;)

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:

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:

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:

1/4

Step-by-step explanation:

3*1 "female" parts and 1 "male" part

3+1=4

Males : 1/4

Answer:

1/4

Step-by-step explanation:

(x + 3x = 4x)

x = male

3x = female

Therefore add both and get 4x.

So male is 1 out of 4 or 1/4

Answer:

Rounds to about 135% increase.

Step-by-step explanation:

Increase/original number x 100

324 / 239 × 100. This rounds to about a 135% increase.

I'm not sure about the answer, just saying. So you might want to double-check the formula for percent change. Thank You.

To determine if there's an increase or a decrease in sales and the percentage change, we need to compare the number of cars sold in Month 2 with the number sold in Month 1.

Calculate the difference in sales:

Difference = Month 2 sales - Month 1 sales

Difference = 324 cars - 239 cars

Difference = 85 cars

To find the percentage change, use the following formula:

Percentage Change = (Difference / Initial Value) * 100

In this case, the initial value is the number of cars sold in Month 1 (239 cars).

Percentage Change = (85 cars / 239 cars) * 100

Percentage Change ≈ 35.56%

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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:

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: 1,626 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: 25%

Step-by-step explanation:

We know that 20 divided by 5 is 4, so 5 is one-fourth of 20 or 25%.

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

Answer:

40 miles in 60 minutes

Step-by-step explanation:

1 hour has 60 minutes, and since the freight train travels 1 mile in 1.5 minutes, it can be said that the train travels 2 miles in 3 minutes (assuming a constant rate). This becomes a problem of equal ratios:

[tex]\frac{2}{3}=\frac{x}{60}[/tex] , where the numerator refers to distance, and the denominator refers to the time

After cross multiplication, we find that 3x = 120, or x = 40.

Therefore, it takes 1 hour for the train to travel 40 miles

Answer:

The number of miles will the train travel in 1 hour is 40 miles.

Step-by-step explanation:

Given:

A freight train travels 1 mile in 1 minute 30 seconds.

Find:

The number of miles that the train will travel in 1 hour

Step 1 of 1

One minute 30 seconds is [tex]$\frac{3}{2}$[/tex] minutes, so the train's speed is

[tex]$$\begin{aligned}\text { spced } &=\frac{1 \text { miles }}{\frac{3}{2} \text { minutes }} \\&=\frac{2}{3} \frac{\text { miles }}{\text { minute }}\end{aligned}$$[/tex]

There are 60 minutes in an hour, so the distance traveled in 60 minutes is distance [tex]=(60$ minutes $) \cdot\left(\frac{2}{3} \frac{\text { miles }}{\text { minute }}\right)$[/tex]

                  =40 miles.

Answer:

The answer is the second option down.

Answer:

Step-by-step explanation:

(1) The ratio 24.8 to 13.4 can be rewritten as 24 8/10 or 248/10 to 13 4/10, or, after simplification, 248/10 to 134/10.  This version of the given ratio reduces to 248/134, or 124/67.  This last version cannot be reduced further.

(2) The ratio 1.5 to 4.5 is equivalent to 3(.5) / 3(1.5), or 1/3.

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:

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!!!

no you cannot conclude that state c costs more than a and b because you do not know the value of state a and b

Answer:

no

Step-by-step explanation:

Step-by-step explanation:

Good luck ✅.

Answer:

it is one ez l ez ez ez ez bozo

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:

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:

y=60° b=60°

Step-by-step explanation:

the sum of all degrees of interior triangle is 180

in the first one, 30° and 90° have been given.(that small square represent 90°)

so 180°-90°-30°=60°

in the second one, the 120° is on the other side of a line, a line has a degree of 180, therefore the interior angle is 60°, the same rule 180°-2*60°=60°

Let's take this problem step-by-step:

Both problems involve triangles:

 ⇒ let's find out the sum of the interior angle w/ formula 180(n-2)

        Total Interior Angle Sum of Triangle = 180(3-2) = 180

Let's solve the first problem (A)

   ⇒ we know the total interior angle sum is 180 degrees

   ⇒ we know that two of the angles are 30 degrees and 90 degrees

        * any angle with a square on them is 90 degrees

   ⇒ therefore:

           30 + 90 + y = 180

              120 + y= 180

                    y = 60

Let's solve the second problem:

  ⇒ the angle opposite the exterior angle, 120 degrees, is on a flat line

        with it

        ⇒ therefore it is 60 degrees

            ⇒ two angles on a flat line equal 180 degrees

   ⇒ two angles are therefore 60 degrees

    ⇒ therefore:

                     60 + 60 + y = 180

                          120 + y = 180

                                  y = 60

Answer:

Answer:

I might be wrong but I think the answer is that A and B are equivalent to -1/2 x (4x5)

Step-by-step explanation:

math

Answer:

Step-by-step explanation:

25 - 4 = 21

2.7*21=56.7m

Answer:

The number of people who voted is 30 people.

Step-by-step explanation:

Given:

Kim was elected class president. She received 3 votes for every 2 that Amy got.

No one else ran.

However, if 8 of the people who voted for Kim had voted for Amy instead, Kim would have received only 1 vote for every 2 that Amy would have gotten

Find:

the number of people voted

Step 1 of 1

The ratio of Kim's votes to Amy's votes is 3:2, so Kim received 3x votes and Amy received 2x votes for some value of x. If 8 of the people had voted for Amy instead of Kim, then Kim would have 3x-8 votes and Amy would have 2x+8 votes. If this had happened, then Amy would have twice as many votes as Kim, so 2x+8=2(3 x-8).

Expanding the right-hand side gives 2x+8=6x-16.

Subtracting $2 x$ from both sides and adding 16 to both sides gives 24=4x, so x=6.

Since 3x+2x=5x people voted, the number of voters is [tex]$5 \cdot 6=30$[/tex].

Answer:

30 people

Step-by-step explanation:

The ratio of Kim's votes to Amy's votes is 3:2, so Kim received 3x votes and Amy received 2x votes for some value of x. If 8 of the people had voted for Amy instead of Kim, then Kim would have 3x-8 votes and Amy would have 2x+8 votes. If this had happened, then Amy would have twice as many votes as Kim, so 2x+8=2(3 x-8).

Expanding the right-hand side gives 2x+8=6x-16.

Subtracting $2 x$ from both sides and adding 16 to both sides gives 24=4x, so x=6.

Since 3x+2x=5x people voted, the number of voters is .

Answer:

A. Ruben's height- 64.8 inches

B. John's height- 3/4 of Josh's height

Step-by-step explanation:

A. Since Ruben's height is 9/10ths of Josh's, and Josh's is 72 inches, we can find 90% of Josh's height which is 72, therefore giving us 64.8 inches.

B. Now take John's height of being 11/12th as being tall as Ruben, we can enter 11/12th of 64.8 which would give us about 54 inches. Finally, taking John's height of 54 inches, we would divide it with Josh's height of 72 inches. Hence, 54/72=3/4 as a fraction.

Answer:

5.7 is the answer good sir your welcome

Answer:

The percentage decrease is

[tex]5.7\%[/tex]

Step-by-step explanation:

The solution is in the image