Find the length of side x in the simplest radical form with a rational denominator.

Answer:

60 ft

Step-by-step explanation:

(x+13) = (3x-1) = (6x-22) since the triangle is equaililateral

(x+13) = (3x-1) (we only need to chose 2)

-2x=-14

x=7

after this, we just need to plug in the number for x

3(7)-1= 20--->since the triangle has 3 congruent sides, they all have the distance, so 20x3=60

60FT

Answer:a=4

Step-by-step explanation:

Expand the brackets. Collect like terms. Get the same values on each side so it’s easier to isolate a. Divide 9 from 9a so that u get a by itself and this gives u the answer if 36/9 or 4.

Answer:

a = 4  

Step-by-step explanation:

first distrubute the 3 and then 2 in the equations to whatever is inside the parantheses:

3 ( 1-9a) + 22a = 2(2a-9) -15

3 - 27a + 22a = 4a - 18 - 15

then combine the terms:

3 - 5a = 4a -33

then isolate the variables and constants to one side, for example move the 5a to the right side of the equation and move the 33 to the left side of the equaiton and then simplfy

36 = 9a

divide both sides by 9

a = 4  

Answer:

the full answer is 17.92, so that would round up to 18

Step-by-step explanation:

:)

Answer:

8 miles per hour

Step-by-step explanation:

First find the slope. The slope is the unit rate/constant of proportionality.

To find slope use the points given and formula y2-y1 / x2-x1

(32-16) / (4-2)

= 16 / 2

= 8

Thus the unit rate is 8 miles per hour.

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Answer:

11

Step-by-step explanation:

8+6=14

14-3=11

A) The distance between -5 and 0 is a Positive 5 because it takes 5 positive spots to go from -5 to 0.

B) The Absolute Value of -5 is 5. (Absolute Value means the distance from that number from zero) Is takes 5 spots to get to -5.

I hope this helps, and Happy Holidays! :)

Answer:

1) 5 units

2) 5

Step-by-step explanation:

absolute value is basiclly the opposite for example 4 would be -4 and -7 would be 7

also if it has lines like this: |2| it stays as it is so |3| is still 3 and |-5| is still 5

hope this helps :)

Answer:

i think 126 different bowls

correct me if im wrong

Answer:

3.1*10^10

Step-by-step explanation:

31 billion would be written like that because... there are 9 0's left, and that goes up to 10 because i turned 31 to 3.1 not 31, so that value after a decimal point adds 1

Answer:

Please check the explanation.

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

[tex]y=mx+b[/tex]

where m is the slope or rate of change and b is the y-intercept

An equipment rental company charges $40 per day to rent a trench digger.

It means the rate of change = $40 per day

We know that the rate of change is also termed as the slope.

Thus,

m = 40

Given that a construction crew rented a trench digger for 6 days and paid 270.

It means at x = 6, y = 270

substituting (x, y) = (6, 270) and m = 40 in the slope-intercept form to determine the y-intercept 'b'

y = mx+b

270 = 40(6) + b

270 = 240 + b

b = 270 - 240

b = 30

Thus, the y-intercepy b = 30

Now, substituting m = 40 and b = 30 in the slope-intercept form

y = mx + b

y = 40x + 30

Thus, the equation of line in the slope-intercept form is

y = 40x + 30

VERIFICATION:

Put x = 6, in the equation to determine the total cost for 6 days

y = 40x + 30

y = 40(6) + 30

y = 240 + 30

y = $270

Thus, the total cost for days rent = $270

Therefore, x must be equal to 6 i.e. x = 6 to find the total cost i.e. y = 270.

Answer:

65

Step-by-step explanation:

The computation of the number of candies left in the bag is as follows:

Let us assume the cherry candies be c ;

And, grape candies be g

Now the ratio between them is 3:5

And, in the case when half of the candies are eaten and one cherry is also eaten so the ratio is

 (c - 1) ÷ (g ÷ 2) = 7 ÷ 6

After subsitution

It would be

(3 ÷ 5g - 1) ÷ (g ÷ 2) = 7 ÷ 6

Now after solving it,

g = 60

And, the c = 35

As the candies are half so it would be 30 now

So, the number of candies together is

= 35 + 30

= 65

Answer:

6

Step-by-step explanation:

Answer:

The speed on motorboat is 20 mph

Step-by-step explanation:

here, we want to find the speed on the motorboat

if he has a speed of x mph on the motor boat, his speed on the ski will be (x + 10) mph

The total hours is 4 hours

Mathematically; speed = distance/time

Time on ski is 27/x+ 10

Time on motor boat is 62/x

The addition of both is 4

Thus;

27/(x + 10) + 62/x = 4

27(x) + 62(x + 10) = 4(x)(x + 10)

27x + 62x + 620 = 4(x^2 + 10x)

89x + 620 = 4x^2 + 40x

4x^2 -49x-620 = 0

using the quadratic formula;

{-b ± √(b^2-4ac)}/2a

where a = 4, b = -49 and c = -620

= 49 ± √(-49)^2-4(4)(-620)/8

So we have

49+ 111/8 or 49-111/8

Speed cannot be negative

(49 + 111)/8

= 20 mph

Answer:

part 1: Jessica saved 100, Raphael saved 88

part 2: The rate at which Jessica is adding to her savings each week is $4 more than the rate at which Raphael is adding to his savings each week.

Step-by-step explanation:

First figure out how much money Jessica saved at the end of week 8, compared to Raphael.

Use x =8

y = 10*8 + 20 = 100

For Raphael it is shown in the table as 88.

Next figure out the rate Raphael saves. We can find the slope usng (y2-y1) / (x2-x1).

Using the table lets use (0,40) and (1,46)

46-40 / 1-0 = 6/1 = 6

So Raphael saves $6 each week. This is $4 less than what Jessica saves each week since the slope for her equation is 10 or $10 each week.

please give thanks :)

and brainliest, much appreciated

Answer:

Step-by-step explanation:

10 each weekkkkkkkkkk

Answer:

no solution

Step-by-step explanation:

Answer:

On it's Axis and it moves around the sun

Step-by-step explanation:

Answer:

I just want the points please

Step-by-step explanation:

the answer is 10029481

Answer: -75

Step-by-step explanation:

Answer:

52 degrees

right triangle

Step-by-step explanation:

Answer:

42°

Step-by-step explanation:

The given triangle is a right triangle since the sum of interior angles in a triangle is equal to 180° and two of the angles' measurements are known then the third angle must be 42°

Answer:

1. Loss of freedom

2. Economic loss

3. Layout

Step-by-step explanation:

Answers are numbered for each one

Answer:

1. Loss of freedom

2. Economic loss

3. Layout

Step-by-step explanation:

I just took the quiz

Answer:

15 guests were not relative.

Step-by-step explanation:

It is given that,

At your birthday, 3/8 of the 24 guests were relatives.

No of relatives,

[tex]=\dfrac{3}{8}\times 24\\\\=9[/tex]

So, there are 9 relative at the party.

No of guests that are not relative,

= 24 - 9

= 15

Hence, 15 guests were not relative.

Answer: oo I did this in one quiz i thnk is c I put thaha

Step-by-step explanation:

Answer:

you do not have enough information to determine

Answer:

If the left column is the width then the length is 45

If the right column is width then the length is 7.2

Step-by-step explanation:

ratios

Answer:

echo

Step-by-step explanation:

Answer:

1 place to the left

Step-by-step explanation:

im pretty sure

Answer:

6.164

Step-by-step explanation: