The statement "one-eighth the age, a" can be expressed algebraically as ?

Let x be the width

width = x

Length is twice its width

length = 2x

Perimeter = length + width + length + width

Perimeter = x + 2x + x + 2x = 6x

Given that perimeter = 7 1/3

6x = 7 1/3

x = 7 1/3 ÷ 6 = 1 2/9

So width = 1 2/9

Length = 1 2/9 x 2 = 2 4/9

Area = length x width

Area = 1 2/9 x 2 4/9

Area = 2 80/81 square cm

Answer:

The clock will be 50 minutes fast

Step-by-step explanation:

Proportions

It's known a clock gains time at a steady state, or constant rate.

At 10:00 AM the clock is set at the correct time and at 1:36 PM the clock shows 2:00 PM. This means in that period of time, it has gained 24 minutes.

From 10:00 AM to 1:36 PM there are 3 hours and 36 minutes, or equivalently, 3*60+36 = 216 minutes

Our clock gains time at a rate of 24 minutes each 216 minutes. This gives the ratio 24:216 = 1:9.

When the new correct time is 5:30 PM, there will have passed 7 hours and 30 minutes since 10:00 AM, or equivalently, 7*60+30 = 450 minutes.

Since the clock gains time at a ratio 1:9, the time gained is 450/9=50 minutes.

The clock will show 50 minutes more than the correct time of 5:30 PM, that is, 6:20 PM.

The clock will be 50 minutes fast

Answer:360 degrees in a circle divide by 4 is 90

Step-by-step explanation: there are 360 degrees in a circle so divide that by 4 and you get 90

We read this out as "negative 15" or you could write "negative fifteen".

The negative indicates the temperature went down. It doesn't necessarily mean that the final temperature is -15 degrees.

For example, if it starts being 50 degrees F, and drops by 15 degrees, then 50+(-15) = 50-15 = 35 degrees is the temperature after that drop. It might help to use a vertical number line.

Answer:

166.1

Step-by-step explanation:

It would become 11.5 * 7 + 10.7 * 8 = 80.5 + 85.6 = 166.1

Answer:

1260

Step-by-step explanation:

Tents: 15×54=810

Caravans: 25×18=450

450+810=1260

Answer:

$1260

Step-by-step explanation:

Campsite Fees:

Tent - $15 (per day)

Caravan - $25 (per day)

No. of Tents and Caravans today:

Tents - 54

Caravan - 18

Total fees for Tent = 15 x 54

= $810.

Total fees for Caravan = 25 x 18

= $450.

Fees altogether for Today = Total fees for Tent + Total fees for Caravan

= $810 + $450

= $1260

Answer: less than 1

Step-by-step explanation:

3.6/9 = 0.4

0.4 = 4/10 or reduced, 2/5

2/5 is less than 1

Answer:

The quotient of 3.6/9 is less than 1

Step-by-step explanation:

Quotient means the number we have once we divide two number

3.6/9 is equal to 0.4 and if it were to be greater than 1 there wouldn't be a zero in the ones place

Answer:

Step-by-step explanation: o847434y3u3u44y4u5u5u5uu6

Answer:

ay bro its 39 bc the q and r together they equal 39 plus you can also solve it with the calcliqiusnatine if you know what that is hope this helps!

Step-by-step explanation:

Answer:

29 degrees.

Step-by-step explanation:

The total of a triangle is 180 degrees.

If R = 27, that means that P and Q must make up 153 degrees.

The exterior and interior angle of Q will equal 180 degrees, as that is a straight line. Therefore, do 180 - 56 = 124, which is the degree measure of Q.

Lastly, do 153 - 124 to get 29 degrees for P.

Answer:

72x+52

Step-by-step explanation:

72x+45+7=72x+52

Answer:

1/3 or 0.3 (recurring)

Step-by-step explanation:

Let's substitute our numbers into the equation.

27 = 9x + 24             I multipled 8 by 3 in order to get 24, because x equals 3.

Now take away 24 leaving 9x on its own.

3 = 9x

Divide 9 to separate it from x.

3/9 = x

Simplify the fraction.

1/3 = x

Answer:

1 9/10

Step-by-step explanation:

If you need this as a fraction then the answer is probably 1 9/10

The required mixed number for 1.905 is 1 905/1000  or 1 9 / 10.

Given that,
To determine the mixed fraction of 1.905.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Fraction is defined as the number of compositions that constitutes the Whole.

Here,
A mixed number is a number consisting of a whole number and a proper fraction.
The given number,
= 1.905
= 1 + 0.905
= 1 + 905 / 1000
= 1 905 /1000

Thus, the required mixed number for 1.905 is 1 905/1000  or 1 9 / 10.

Learn more about simplification here: https://brainly.com/question/12501526

#SPJ2

Answer:

Step-by-step explanation:

(x+3)(4x-1) = 4x² + 12x - x - 3 = 4x² + 11x - 3

Answer:

Step-by-step explanation:

Yvonne is saving money for college, and currently has $1200 in a savings account. She plans to deposit $30 each week from her part-time job and then deposit birthday money from her Aunt Marlene ($40 each birthday). Her goal is to have saved $6,000 by the time she graduates from high school in three years. 1. Write a function that models Yvonne's savings. 2. Simplify your function. 3. Use your function to create a graph of Yvonne's savings.(input your function in your calculator and take a screenshot)

Answer:

d

Step-by-step explanation:

Answer:

more than a number = addition

so it is D because the end result has to be 33.

Step-by-step explanation:

Hope this helped!

Answer:

21 m^2

Step-by-step explanation:

(5*2) + (6*2) - (1*1) = 21

Answer:

A. x = 16, y = 9√2

Step-by-step explanation:

✔️Let's find y first using trigonometric ratio:

Reference angle = 45°

Hypotenuse = y

Opposite = 9

Therefore,

Sin(45) = 9/y

y = 9/sin(45)

y = 9/(1/√2)

y = 9 × √2/1

y = 9√2

✔️To find x, let's find the adjacent side of the right triangle first, them add it to 7.

Adjacent side using Pythagorean Theorem would be,

Adj² = y² - 9²

Adj² = (9√2)² - 9²

Adj² = 162 - 81

Adj² = 81

Adj = √81

Adj = 9

x = adj + 7 = 9 + 7

x = 16

Answer:

11/25

Step-by-step explanation:

15 red, 13 blue, and 50 total. Therefore, yellow = 50-15-13=22.

Probability (yellow) = 22/50 = 11/25

Answer:

[tex]\frac{11}{25}[/tex] chance

In percent form;

44%

Step-by-step explanation:

1. Approach

First, one must find the amount of yellow marbles in the bag. This can be done by subtracting the amount of red and blue marbles from the total marbles in the bag. Then one will set up a proportion and solve to find out the probability of choosing a yellow marble. Remember, probability is [tex]\frac{desired_{.}outcomes}{total_{.}outcomes}[/tex]

2. Find the amount of yellow marbles

Subtract the number of red and blue marbles from the total marbles in the bag;

[tex]total_{.}marbles-(red+blue)\\\\=50-(15+13)\\\\=50-28\\\\=22[/tex]

There are [tex]22[/tex] yellow marbles.

3. Find the probability of selecting a yellow marble

Remember, probability is [tex]\frac{desired_{.}outcomes}{total_{.}outcomes}[/tex] and a percent is out of 100. Using this knowledge one can set up a proportion in the format;

[tex]\frac{desired_{.}outcomes}{total_{.}outcomes} = \frac{percent}{100}[/tex]

Substitute;

[tex]\frac{22}{50}=\frac{percent}{100}[/tex]

Simplify,

[tex]\frac{11}{25}=\frac{percent}{100}[/tex]

Cross products,

[tex]\frac{11}{25}=\frac{percent}{100}\\\\1100=25*(percent)\\[/tex]

Inverse operations;

[tex]1100=25*(percent)\\/25\\\\44=percent[/tex]

Answer:

3x = 18

x=6

check: 3(6)=18. 18=18

x/3 = -4

X=-12

Check: 12/3=4. 4=4

11x=121

x=11

Check: 11(11)=121. 121=121

-8y=32

x=-4

Check: -8(-4)=32. 32=32

y/4=12

y=48

Check: 48/4=12. 12=12

6y=-48

y=-8

Check: 6(-8)=-48. -48=-48

y/7=-7

y=-1

Check: (-1)/7=-7. -7=-7

x/5=5

x=1

Check: (1)/5=5. 5=5

1) solve

3x=18

x=6

check

3(6)=18

2) solve

x/3=-4

x=-12

check

-12/3=-4

3) solve

11x=121

x=11

check

11(11)=121

4) solve

-8y=32

y=-4

check

-8(-4)=32

5) solve

y/4=12

y=48

check

48/4=12

6) solve

6y=-48

y=-8

check

6(-8)=-48

7) solve

y/7=-7

y=-49

check

-49/7=-7

8) solve

x/5=5

x=25

check

25/5=5

Answer & Step-by-step explanation:

Since we use 5 parts blue and 3 parts red, the total sections is 8.

28/8 = 3.5

We want to find the red which is 3 parts.

3.5 * 3 = 10.5.

Your answer should be 10.5 pints of red.

Hope this helps!

Answer:

ouhnewu0h8coehuqnce0nuqfenueqnuqwe0nu8iquenw

Step-by-step explanation:

uieqnueru0njfqenu0fqenuen0rue0fuinfuine0

Answer:

15

Step-by-step explanation:

Sqr root of 225

Answer:24

Step-by-step explanation:

that's wrong, and I'm here to put the correct answer

take a look at this image, because ac=25 you set dc as x and ad as 25-x, then after that, you can form the equation root of 25^2-(x5-x)^2=root of 30^2-(x)^2 using the pythaeogrem theorem. After that you would get that x=18, then after that you just apply the theorem. 30^2-18^2 root which you would then get 24.

Answer:

invoice price? retailers? dealers cost?

Step-by-step explanation:

i dont know if this is worded correctly for me to understand i-

Write an integer for deposit of $100:

-$100

Answer

i think this is what you mean

Step-by-step explanation:

x          y

2         0

1          2

0         4

-1         6

-2        8