Solve the equation below and record solution.
Example Solution: x = ______
35 = 1.5x - 10

Given:

4/5 of a pie left after their family picnic.

Each slice of pie was 1/15 of the total pie.

To find:

The number of remaining slices of pie.

Solution:

Let x be the number of remaining slices of pie.

Part of total pie in one slice = [tex]\dfrac{1}{15}[/tex]

Remaining part of total pie in x slices = [tex]\dfrac{1}{15}x[/tex]

According to the question, 4/5 of a pie left after their family picnic.

[tex]\dfrac{1}{15}x=\dfrac{4}{5}[/tex]

Using cross multiplication, we get

[tex]5\times x=15\times 4[/tex]

[tex]5x=60[/tex]

Divide both sides by 5.

[tex]x=12[/tex]

Therefore, the remaining number of slices of pie is 12.

Answer:

Y = 130

X = 20

Z = 110

Answer:

y= 130 degrees  x= 20 degrees  z= 110 degrees

Step-by-step explanation:

I solved top left triangle first. So, we know all triangles add up to 180 degrees and we have two on the angles so 85 + 45 = 130 then 180 - 130 = 50 so the missing angle near y is 50. Now to figure out Y then you just subract your answer (50)  from 180 which you get 130. So y is 130 degrees. Then to figure out X, you just do 180 - 130 = 50, 50 - 30 = 20, so x is equal to 20 degrees. Then lastly to figure out z we know that the missing angle is 50 because its vertical to the other 50 degree so now you do 180 - 20 = 160, 160 - 50 = 110 degrees.

Answer:

He is 53 inches in height

Step-by-step explanation:

4 × 12 inches = 48 + 5 = 53

Answer: x =5

Step-by-step explanation:

[tex]x + 3 + 3(x + 2) = - 24[/tex]

[tex]x + 3 + 3x + 6 = - 24[/tex]

[tex]4x + 9 = - 24[/tex]

[tex]4x = - 24 - 9[/tex]

[tex]4x = - 33[/tex]

[tex]x = \frac{ - 33}{4} [/tex]

The probability that a cat will have at most 4 kittens is to be considered as the 0.83.

= Probability of 2 + Probability of 3 + Probability of 4

= 0.20 + 0.35 + 0.28

= 0.83

Hence, The probability that a cat will have at most 4 kittens is to be considered as the 0.83.

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The probability that a cat will have at most 4 kittens is 0.83

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

The value of probability lies between 0 and 1

Given data ,

Let the number of kittens in the litter be = A

Now , when A = 2

The probability distribution is = 0.20

Now , when A = 3

The probability distribution is = 0.35

Now , when A = 4

The probability distribution is = 0.28

Now , when A = 5

The probability distribution is = 0.15

And , the probability that a cat will have at most 4 kittens is calculated by

P ( x ≤ 4 ) = P ( 2 ) + P ( 3 ) + P ( 4 )

               = 0.20 + 0.35 + 0.28

               = 0.83

Therefore , the probability that a cat will have at most 4 kittens is 0.83

Hence , The probability that a cat will have at most 4 kittens is 0.83

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Answer: y + 5 = -3(x-3)

Step-by-step explanation:

Answer:

558

Step-by-step explanation: I just took the quiz!

Distance from San Antonio to El Paso in Miles is 558 miles

Distance from San Antonio to El Paso in Miles

We know that

Distance from San Antonio to El Paso is 888 km

So,

1 km = 0.621371 miles

Distance from San Antonio to El Paso = 888 × 0.621371

Distance from San Antonio to El Paso in Miles = 558 miles

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Answer:

Your slope will be 2

Step-by-step explanation:

[tex]\frac{7-(-3)}{-6-(-11)}[/tex]= [tex]\frac{10}{5}[/tex]= 2

Answer:

jhgjihSd

Step-by-step explanation:

Answer:

two committees because 4 is in each

Answer:

probably square root of 5

Answer:

x = 9.6

Step-by-step explanation:

Answer:

4(2-2c)

Step-by-step explanation:

because you switch it around

Answer:

-1

Step-by-step explanation:

times 4 by 2c and 4 by -2

8c and -8 then you divide by each other and get -1

Answer:

56

Step-by-step explanation:

When we divide a number with a fraction, we change the sign into a multiplication sign, and we do the reciprocal.  Then we multiply across.

Answer: a/c = 1

a/b = 1/2 => a = 1/2 .b

b/c = 2 => c = 1/2 .b

=> a/c = (1/2.b)/(1/2.b) = 1

Step-by-step explanation:

If a is half b, and b is twice c, then the fraction a:c will be 1.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

In another word, if we divide two numbers by each other then the upper word is called the numerator, and the lower word is called the denominator.

As per the given,

a is half b ⇒ a = b/2

b is twice c ⇒ b = 2c

By substitution,

a = (2c)/2

a = c

a:c = 1:1 = 1

Hence "If a is half b, and b is twice c, then the fraction a:c will be 1".

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Answer:

The Slope in 7,2

Step-by-step explanation:

Answer:

200- 25d

Step-by-step explanation:

d equals number of days on the trip

See attachment for math work and set up. Use the substitution method to find x.

Answer:

423,437,744

Step-by-step explanation:

Given that :

Projected population in 2020 = 334.4 million

Estimated growth rate (r) = 0.79%

Projected population in 2050 ;

Using the exponential growth function :

Estimated value = initial value(1 + growth rate)^time

Initial value = i

Time = 2020 - 2014 = 6 years

334.4 = i(1 + 0.0079)^6

334.4 = i(1.0079)^6

334.4 = i2.43087455521E−13

i = 3.189786E8

Initial population = 318. 978 million

Estimated Population in 2050:

2050 - 2014 = 36

Projected population = 3.189786E8(1.0079)^36

Projected population = 3.189786E8*1.3274801

= 423437743.82586

= 423437744 million

Answer: v = B/y -1

B = yv + y = (v + 1)y

=> B/y = v + 1

⇔ [tex]v=\frac{B}{y}-1[/tex]

Step-by-step explanation:

Answer:

12:10 or 6:5

Step-by-step explanation:

If 2 more girls join, the ratio will be 12:10 or 6:5.

Answer:

107º

Step-by-step explanation:

Okay, if 135 is adjacent to an ungiven side, then to find that, you subtract 135 from 180.

180 - 135 = 45

So the other side is 45. Now we find the last unknown given side, and since we know 180 degrees is the sum of the degrees in a triangle, we do:

28 + 45 + x = 180

73 + x = 180

Subtract 73 on both sides you get,

x = 107.

Measure DEF is 107.

Answer:

A prime number is a number that can only be divided by 1 and itself.

Answer:

C-7.4

Step-by-step explanation:

just took the test EDG2020

The nth term of an arithmetic sequence is a +(n-1)d. The missing term of the arithmetic sequence is 7.4

The nth term of an arithmetic sequence is expressed according to the formula as shown:

Tn = a + (n -1)d

where:

a is the first term = 2

d is the common difference = 3.8 -2 = 1.8

Required

Fourth term (n = 4)

Substitute

T4 = 2 + (4 -1)(1.8)
T4 = 2+3(1.8)
T4 = 7.4

Hence the missing term of the arithmetic sequence is 7.4

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Answer:

-42 degrees

Step-by-step explanation:

-40-82=-42

Answer:

5

Step-by-step explanation:

x = 2 >>> (Multiply by 10) >>> y = 20

x = ? >>> (Multiply by 10) >>> y = 50

50 ÷ 10 = 5

x = 5 when y is 50

Answer:

1.450

Step-by-step explanation:

what grade ar4e you in I'm guessing 4th or 5th

Answer:

The answer to this question is C. 40.274.

Answer:

VP = 21

ZP = 7

Step-by-step explanation:

Given:

VZ = 14

Required:

VP and ZP

Solution:

Since Z is the centroid, therefore:

⅔ of VP = VZ (centroid theorem)

Thus,

⅔(VP) = 14 (substitution)

Multiply both sides by 3

2(VP) = 14*3

2(VP) = 42

Divide both sides by 2

VP = 42/2

VP = 21

✅VZ + ZP = VP

14 + ZP = 21

ZP = 21 - 14 (subtraction property of equality)

ZP = 7