What is the value of y in the figure below?
(7y + 27)
(15x - 5)
125°

Answers

Answer 1

Answer:

Simplifying

(7y + 27) + (15x + -5) = 125

Reorder the terms:

(27 + 7y) + (15x + -5) = 125

Remove parenthesis around (27 + 7y)

27 + 7y + (15x + -5) = 125

Reorder the terms:

27 + 7y + (-5 + 15x) = 125

Remove parenthesis around (-5 + 15x)

27 + 7y + -5 + 15x = 125

Reorder the terms:

27 + -5 + 15x + 7y = 125

Combine like terms: 27 + -5 = 22

22 + 15x + 7y = 125

Solving

22 + 15x + 7y = 125

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-22' to each side of the equation.

22 + 15x + -22 + 7y = 125 + -22

Reorder the terms:

22 + -22 + 15x + 7y = 125 + -22

Combine like terms: 22 + -22 = 0

0 + 15x + 7y = 125 + -22

15x + 7y = 125 + -22

Combine like terms: 125 + -22 = 103

15x + 7y = 103

Add '-7y' to each side of the equation.

15x + 7y + -7y = 103 + -7y

Combine like terms: 7y + -7y = 0

15x + 0 = 103 + -7y

15x = 103 + -7y

Divide each side by '15'.

x = 6.866666667 + -0.4666666667y

Simplifying

x = 6.866666667 + -0.4666666667y

Step-by-step explanation:

Because I know


Related Questions

can somebody help me

Answers

7x4=28.
3x4=12
———
40 cups
28 mango and 12 cranberry

A cone has a volume of 350 cubic meters. The area of the baseis
70 square meters. What is the height of the cone?

Answers

Answer:

The height is 15

The answer to it is 15


Joe ran 1 1/4 laps in 2 minutes. How many laps did Joe run on average per minute?

Answers

Answer

2.5/4

Step-by-step explanation:

If you do 1 1/4 divided by 2 that would equal 2.5/4 I hope that helps!

if you don't know the answer to one of the problems you can just answer how every many you know and btw ill mark you!!

Answers

1. Have spinal cords 2.snakes and sharks 3.have live baby’s I’m pretty sure u have them all right good job

Answer:

#2 is correct.

#3 is correct, mammals are vertebrates, which means cows counts, also frogs, since they have to jump a lot, they have 10 vertebrae. Also, hawks, since they're vertebrates, and all vertebrates have backbones.

$4 is correct.

If you like my answer, please mark me brainliest.

help!!!!!!!!!!!!!!!!

Answers

If 6 is the longest side, and 4 is the shortest side, then the middle has to be 5.


5. For the final touches, John wanted to paint the house using 3 colors. If he has 5
gallons of paint for each color, write an equation for the total number of gallons of
paint he has?

Answers

Answer:

3 x 5 = 15

Step-by-step explanation:

To explain this in short, John has 5 gallons of 3 colors, meaning that 3 x 5 = 15 would be the appropriate equation to finish this question. I hope this helps!

Anyone know this please I really need help

Answers

Answer: smaller angle = 17°
The angle is a right angle so the total degree of the angle would be 90°

Step-by-step:

Equation:
(4x+1)+(x-1) = 90
5x = 90
X = 18

Smaller angle:
(X-1)
(18-1)
17°

edit question_ stats

Answers

wait what is there a question

What is g(x)?

A. g(x) = -2
B. g(x) = -11
C. g(x) = -x
D. g(x) = -x


WILL MARK BRAINIEST!!

Answers

The answer will be A. The proof is that you divide the long division and subtract it by 2. GEORGENOTFOUND IS SO SEGCY

Step-by-step explanation:

g(x) = -X^2

which isn't an option.

what is the measure of angle 1?

a. 36

b. 86

c. 89

d. 94

Answers

The answer is D. 94 for sure

Answer:

D, 94

Step-by-step explanation:

Angles of a triangle add up to 180 degrees.  180 - 29 - 65 = 86 Angles 1 and 2 add up to 180 degrees.  86 = 2  180 - 86 = 94 94 = 1

Hope this helps! If it did, please mark it as brainliest! It would help me out a lot! :D

A map represents every 4 miles with 1 inch. If a school and a bank are actually 12 miles apart, how far apart are they on the map? A . 3 B. 4 C. 7. D . 8

Answers

Answer:

Step-by-step explanation:

12mi(1in/4mi)=3in

Answer:

A) 3

Step-by-step explanation:

4/1=12/x

4/1=4

4=12/x

x=12/4

x=3

Nora made 15 gallons of lemonade for a community picnic. She served 100 pints to the people. How many pints are leftover? Please help!

Answers

Answer: 20 pints will be left

Hope it helps.
1 gallon has 8 pints. 15*8 120 then substrate by the pints used= 20

Answer:

There are 8 pints to a gallon so she makes 120 gallons, and since she served 100 pints then there are 20 pints left over.

Brainliest please?

We wish to modify the cellular telephone coding system in order to reduce the number of errors. In particular, if there are two or three zeroes in the received sequence of 5 bits, we will say that a deletion (event D) occurs. Otherwise, if at least 4 zeroes are received, then the receiver decides a zero was sent. Similarly, if at least 4 ones are received, then the receiver decides a one was sent. We say that an error occurs if either a one was sent and the receiver decides zero was sent or if a zero was sent and the receiver decides a one was sent. For this modified protocol, what is the probability P[E] of an error? What is the probability P[D] of a deletion?

Answers

Solution :

Here, we have 5 trails that corresponds to the 5 times the binary symbol is sent. On each trail, success is said to occur when the binary symbol is received correctly. The probability of a success is p = 1 - q = 0.9 and q = 0.1

Now if the 0 is being transmitted, then the 0 is sent 5 number of times and then we call the decoding a 0 success. Let the repeated transmission are independent. In this case, we have 5 trails. Let each repeated bit the receiver decodes as 1 a success, using the binomial probabilities. We using the [tex]$S_{k,5}$[/tex] to denote an event of [tex]$k$[/tex] successes in the 5 trails, then the probability k are decoded at the receiver is:

[tex]$P[S_{k,5}]=\binom{5}{k}p^k(1-p)^{5-k}$[/tex]

           [tex]$=\binom{5}{k}(0.9)^k(1-0.9)^{5-k}$[/tex]

           [tex]$=\binom{5}{k}(0.9)^k(0.1)^{5-k}$[/tex]    

Here, k = 1, 2, 3, 4, 5

The probability of the transmitted bit to be decoded correctly is:

[tex]$P[C]=P[S_{5,5}]+P[S_{2,5}]$[/tex]

         [tex]$=\binom{5}{3}(0.9)^5(0.1)^{0}+\binom{5}{4}(0.9)^4(0.1)^1$[/tex]

         [tex]$=(0.9)^5+5(0.9)^4(0.1)^1$[/tex]

         = 0.91854

The probability that the deletion occurs is

[tex]$P[D]=P[S_{3,5}]+P[S_{2,5}]$[/tex]

          [tex]$=\binom{5}{3}(0.9)^3(0.1)^{2}+\binom{5}{2}(0.9)^2(0.1)^3$[/tex]

         [tex]$=10(0.9)^3(0.1)^2+10(0.9)^2(0.1)^3$[/tex]

         = 0.081

The probability of an error is

[tex]$P[E]=P[S_{1,5}]+P[S_{0,5}]$[/tex]

          [tex]$=\binom{5}{1}(0.9)^1(0.1)^{4}+\binom{5}{0}(0.9)^0(0.1)^5$[/tex]

         [tex]$=5(0.9)^1(0.1)^4+(0.1)^5$[/tex]

         = 0.00046

how could i find the value of this expression?​

Answers

Answer:

you plug in the numbers

Step-by-step explanation:

Please mark brainliest!!

Answer:

√x⁴-y²

x²-y²

(x+y)(x-y)

when

x=3

y=-6

√x⁴-y²=(3-6)(3+6)=-3×9=-27 is your answer

Determine the vertex of the function f(x)=2(x+1)(x+7). You must show all algebraic steps for full marks

Answers

Answer:

vertex (-4,-18)

Step-by-step explanation:

f(x)=2(x+1)(x+7)

f(x)=2(x^2+8x+7)

f(x)=2x^2+16x+14

f(x)=2(x^2+8x)+14

f(x)=2(x^2+8x+4^2-4^2)+14

f(x)=2(x^2+8x+4^2)+2(-4^2)+14

f(x)=2(x^2+8x+4^2)+2(-4^2)+14

f(x)=2(x^2+8x+4^2)-18

f(x)=2(x+4)^2-18

vertex form:

f(x)=a(x-h)^2+k

h=-4

k=-18

vertex (-4,-18)

Corey records the temperature in degrees Celsius each morning. At 8am the temperature was 3 degrees below zero. It rose 3 degrees by 10am. Which equation shows the change in temperature from 8am to 10am?

A 3+3=6
B-3+3=0
C-3+3= -6
D-3-3= -6​

Answers

B

It was 3 degrees below so the 3 will be a negative 3. Then by 10 it rose up by 3 so it is a positive 3. So -3+3=0

A rocket fired upward from some initial distance above the ground. Its height (in feet) h, above the ground t seconds after it is fired is given by h(t)=-16t^2+160t+384

What is the rockets maximum height?


After it is fired, The rocket reaches the ground at t=____ seconds

Answers

Answer:

Part A)

784 feet in the air (after five seconds).

Part B)

After 12 seconds.

Step-by-step explanation:

The height h (in feet) of a rocket t seconds after being fired is modeled by the function:

[tex]h(t)=-16t^2+160t+384[/tex]

Part A)

We want to find the rocket's maximum height.

Since our function is a quadratic, the maximum height will occur at its vertex. The vertex of a quadratic is given by:

[tex]\displaystyle \Big(-\frac{b}{2a}\, f\Big(-\frac{b}{2a}\Big)\Big)[/tex]

In this case, a = -16, b = 160, and c = 384.

So, the vertex occurs at:

[tex]\displaystyle t=-\frac{160}{2(-16)}=\frac{160}{32}=5\text{ seconds}[/tex]

The maximum height is reached after five seconds.

Then the maximum height is:

[tex]h(t)_\text{max}=h(5)=-16(5)^2+160(5)+384=784\text{ feet}[/tex]

Part B)

When the rocket reaches the ground, its height h above the ground will be 0. Hence:

[tex]h(t)_\text{ground}=0=-16t^2+160t+384[/tex]

Solve for t. We can first divide both sides by -16:

[tex]t^2-10t-24=0[/tex]

Factor:

[tex](t-12)(t+2)=0[/tex]

Zero Product Property:

[tex]t-12=0\text{ or } t+2=0[/tex]

Solve for each case:

[tex]t=12\text{ or } t=-2[/tex]

Time cannot be negative. Hence, our only solution is:

[tex]t=12\text{ seconds}[/tex]

The rocket reaches the ground 12 seconds after it is fired.

There were 48 blue, 48 green, and 48 yellow crayons. Also there were 72 red crayons and 120 colored pictures. What is the largest number of identical sets can be made of these crayons and pictures?

Answers

Answer:

24

Step-by-step explanation:

For this problem, you need to find the greatest common factor because you need to divide all of the materials equally into identical sets.

If you factor out the numbers 48, 72, and 120, (same # of blue, green, and yellow crayons) you'll get the GCF of 24.

48 - 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

72 - 1, 2, 3, 4, 18, 6, 8, 9, 12, 24, 36, 72

120 - 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

The greatest common factor in all of these lists is 24.

Therefore, the largest number of identical sets is 24.

(2 blue crayons, 2 green crayons, 2 yellow crayons, 3 red crayons, 5 colored pictures)

Answer:

24

Step-by-step explanation:

[tex]1/5(6+3+1)^{2}[/tex]

Answers

Ur answer is 20

Evaluate
6+3+1
10
1/5*10 2

1/5*100

100/5 multiple the #

20

Evaluate the expression.

3×2⁴​

Answers

The answer to this equation is 48

The ratio of cats to dogs is 5:4 in Riverside. If there are 20 dogs, how many cats live in Riverside?
Select one:

25

20

30

16

Answers

Answer:

25

Step-by-step explanation:

c to d is 5 to 4

5x5=25

fffff

Answer:

25

Step-by-step explanation:

We need to divide 20 by 4 to see how much 1 equals in this problem.

20÷4=5

5 equals 1

Now we add 5 to 20 because the ratio is 5:4.

20+5=25

Our answer is 25.

Which of the following options have the same value as 96% of 25?
Choose 2 answers:
96
100
• 25
Pro
B
0.96 - 25
Tea
0.96 . 0.25
96 25
100 100
96 - 25

Answers

Answer:

A

Step-by-step explanation:

yyjvgyujjjjuyrcjkoiffffgy

Which is the graph of the inequality: y is less than (1/2x - 2)^3

Answers

Answer:

A

Step-by-step explanation:

Name a straight triangle.

Answers

What’s the volume of a cylinder

Answer:

A triangle

Step-by-step explanation:

The angles of a triangles are straight

therefore the triangle is a straight triangular shape

The ratio of two numbers is 7 to 5. The sum of the numbers is 36. What are the numbers?
A. 26 and 10
B. 18 and 8
C. 21 and 15
D. 14 and 10

Answers

Answer:

Step-by-step explanation:

a/b=7/5

a=7b/5

a+b=36, using 7b/5 for a we have

7b/5+b=36

7b/5+5b/5=36

12b/5=36

12b=180

b=15, and since a=7b/5

a=7(15)/5

a=21

So the numbers are 21 and 15

Answer:

C is the correct answer please like for more

what is it step by step 7a - 4a when a = 8

Answers

Answer:

Step-by-step explanation:

7a - 4a

a = 8

so

7(8) - 4(8)

56 - 32 = 23

FINALLY! Someone asks for a step-by-step! TYSM!

Since a=8, we ae going to replace the a variables with 8.

7(8)-4(8)

7x8=56

4x8=32.

Now we subtract.

56-32=24.

---

hope it helps

On Monday in Minneapolis,Minnesota it’s was 0°F outside. On Tuesday it’s was 15 degrees colder. What was the temperature and Tuesday?

Answers

Answer:

-15º F.

Step-by-step explanation:

Given that on Monday in Minneapolis, Minnesota it’s was 0 ° F outside, while on Tuesday it was 15 degrees colder, to determine what was the temperature on Tuesday the following calculation must be performed:

0 - 15 = X

-15 = X

Thus, the temperature on Thursday was -15º Fahrenheit, which is equal to -26.11º Celcius.

Tom is 10 years younger than Becky. In two years, Becky will be twice as old as Tom. How old is Tom now?

Answers

Answer:

20

Step-by-step explanation:

Answer:

tom is 8 and becky is 18 now

Step-by-step explanation:

in two years becky would be 20 and tom will be 10

hope this helps

If US $1.00 is equivalent to EC $ 2.70, how much in US would one get from EC 297.00?

Answers

NEEED POINTS ..





xx ‘zmsms

Anyone help?
.....hgzgxhlflhf

Answers

Answer:

it should be 152, can i please get brainliest

Step-by-step explanation:

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