Emma and Murphy are friends. Murphy's age is six less than twice Emma's age.
a. Write an algebraic expression to represent Murphy's age.
b. If Murphy is 60 years old, how old is Emma?

answer:

x = 29

y = 29

z = 61

step-by-step explanation:

all angles in a triangle must equal 180 degrees.

we were already given the angle degree of 61 degrees so we must include that in our formula to determine the degree of y.

the line in the middle already gives us two more angles because they both are 90 degrees for being a perfect quarter turn.

so to figure out y,

we must add 61+90 and then subtract the sum of that from 180.

so, 61+90 = 150 and 180-151 = 29

therefore,

we can conclude that y = 29

now, to determine the degrees of x and z we do the same thing.

we already know one angle equals 90 degrees.

180-90 = 90

that concludes that x and z must have a sum of 90.

if we use our choices,

39+61 = 100 (no)

39+29 = 68 (no)

29+61 = 90 (CORRECT)

29+29 = 28 (no)

therefore, x = 29 and z = 61

so, in total :

x = 29

y = 29

z = 61

hope this helps :)  

-audrey <3

Answer:

-3

Step-by-step explanation:

this is because you subtract 4x from one side to get -3x +3= 12. then u get rid of the 3 so you subtract is and get -3x=9. therefore u get -3. (please don’t delete my answer when I take time out of my day to help you)

Answer:

I think it is the 3rd one

12 go into 4, 3 times  so the answer is 12 divided by 4 is 3 please tell me if it's wrong.

Answer:

35

Step-by-step explanation:

9x-4y

9(3)-4(-2)

27-4(-2)

35

Answer:

y = mx+b

10 = 9/8(0) + b

b = 10

Equation: y = 9/8x + 10

Step-by-step explanation:

Answer:

What is the question? This is just a statement

Step-by-step explanation:

Answer:

17/50 or 34/100

Step-by-step explanation:

12%(utilities)+22%(food)=34%=34/100

34/100=17/50

Answer:

1027202

Step-by-step explanation:

1,027,202

You are in high school you should know how to add.

Answer:

True

Step-by-step explanation:

For something to be in a quadrant, the y and x coordinate have to be greater than 0. If a coordinate is on the y-axis or x-axis either x or y coordinate will be 0. That is why it is not in a quadrant.

Answer:

x. a.

y. b

z. c.

Step-by-step explanation:

So from the middle column, we know that each row or colum must be -12 because 1 - 8 - 5. x + 1 - 12 should be = - 12, so x -11 = 12, so x = -1

For z, - 12 + 3 + z = -12, so z = -3

For y, y - 5 + z = -12, but we know z so we can plug in -3:

y - 5 - 3 = - 12

y - 8 = -12

so y must be -4

Answer:

29/90

Step-by-step explanation:

Answer:

a 8 1/4 c

Step-by-step explanation:

I converted to decimals first. 4.5 c water to 2 c cream. wants to use 3.66 cream. 3.66/2= 1.83. she is increasing cream by 1.83%, next multiply same % to water. 4.5 cups * 1.83 = 8.235 which is closest to 8.25= 8 1/4

Answer:

The value of k is -2

Step-by-step explanation:

The cut point with the y axis for both graphs occurs when x = 0

We have then:

For f (x):

The cut point with the y axis is:

For g (x):

The cut point with the y axis is:

Therefore, the value of k is given by the vertical displacement of the graph k units.

We have then:

  From here, let's clear k:

Answer:

The value of k is -2

Answer:

-2

Step-by-step explanation:

nice computer btw lol

also it is easier if you just screen shot

Answer:

The probability is  [tex]P( \^ p  <  0.35)=    0.2388 [/tex]

Step-by-step explanation:

From the question we are told that

   The  population proportion is  p =  0.40

    The sample size is  n  =  50  

 Generally the standard error is mathematically represented as

       [tex]\sigma_{\= p} =  \sqrt{\frac{p *  (1- p)}{n} }[/tex]

=>     [tex]\sigma_{\= p} =  \sqrt{\frac{0.40 *  (1- 0.40)}{50} }[/tex]

=>     [tex]\sigma_{\= p} = 0.07[/tex]

Generally the probability that a random sample of 50 U.S. Adults has less than 35% with this opinion is mathematically represented as

      [tex]P( \^ p  <  0.35) =  P(\frac{\^ p  -  p}{\sigma_{\= p}} <  \frac{0.35 - 0.40}{0.07}  )[/tex]

Generally  [tex]\frac{\^ p  -  p}{\sigma_{\= p}} =  Z (The \  standardized \ value\ of \  \^ p )[/tex]

=>   [tex]P( \^ p  <  0.35)=P(Z  <  -0.71)[/tex]

From the z table  

    [tex]P(Z  <  -0.71) =  0.2388[/tex]

So

     [tex]P( \^ p  <  0.35)=    0.2388 [/tex]

Answer:

The number is 529 because is you square 23 it will become 529 which will then become 23 is you square root 529. (Hope this makes sense)

Step-by-step explanation:

Answer:

Answer 2) When dividing by -5, he did not change the [tex]\leq[/tex] to [tex]\geq[/tex].

Step-by-step explanation:

If you divide or multiply a negative, you ALWAYS change the sign to its opposite.

Hope this helps! :)

Answer:

(-4, 5) Quadrant ll

Step-by-step explanation:

Hope this helps

Answer: -4

Step-by-step explanation: Hello! :) To get started we need to use the equation 7x+3=4x-9, First, we need to subtract 4x from both sides to get 3x+3=-9, then we need to subtract 3 on both sides to get 3x=-12, Finally, we need to divide both sides by 3 to get x = -4. So x = -4.

Hope this helps!

Please consider marking Brainliest I am 1 away from 50!

Answer:

g(f(-10)) = -22

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

f(x) = 3x + 10

g(x) = x - 2

f(-10) is x = -10

Find g(f(-10))

Step 2: Solve:

Answer:

4 3/8 miles

Step-by-step explanation:

We are told that: the scale on a map is 1 inch =2 1/2 miles.the distance between two streets on the map is 1 3/4 inches

If 1 inches = 2 1/2 miles

1 3/4 inches =

Cross Multiply

1 3/4 × 2 1/2/1

= 7/4 × 5/2

= 35/8

= 4 3/8 miles

The actual distance between these streets is 4 3/8 miles

Answer:

4

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Define

(-y - 2x) - y

x = -5

y = 3

Step 2: Substitute and Evaluate

(-3 - 2(-5)) - 3

(-3 + 10) - 3

7 - 3

4

Answer:

4

Step-by-step explanation:

replace both values in the parentheses

-3 - 2(-5)

two negatives make a positive, so you would have -3 + 10

which is 7

now you have 7 - 3

7-3=4

[tex] x = 2 \frac{3}{4} [/tex]

Step-by-step explanation:

[tex]8(4 - x) = 10[/tex]

Expand :

8(4-x) = 32-8x

[tex]32 - 8x = 10[/tex]

Collect like terms and simplify

[tex] - 8x = 10 - 32 \\ - 8x = - 22[/tex]

Divide through by -8

[tex] \frac{ - 8x}{ - 8} = \frac{ - 22}{ - 8} [/tex]

Simplify

[tex]x = 2 \frac{6}{8} \\ \\ x = 2 \frac{3}{4} [/tex]

Answer:

x=2.75. 8(4-2.75)=8(1.25)=10.

P.s.

Please give me brainliest.

Answer:

14 feet

Step-by-step explanation:

s2 = 196

Answer and explanation:

Akinye Reynoso

Chuck peningan

Norma van hee

Jenny olowski

Akinte is not going to the University of Memphis nor university of Sierra tech nor university of Penn valley but goes to St Mary just like Reynoso(his surname)

Chuck is not going to St Mary nor Sierra tech nor Penn valley but goes to Memphis just like pennigan

Norman does not go to Memphis nor Penn valley nor St Mary but goes to Sierra tech just like van hee

Jenny does not go to Sierra tech nor St Mary nor Memphis but goes for Penn valley just like olowski

Akinte Reynoso is the full name of Akinte and he is going to the St. Mary collage, Chuck Peningan is the full name of the chuck and he is going to the Memphis collage, Norma van hee is the full name of the Norma and he is going to the Sierra tech collage and Jenny olowski  is the full name of the Jenny and heis going to the Pann vally collage.

Given-

Four students going to college next year are Akinte, Chuck, Jenny, Norma.

According to clues given in the question, Akinte is not going to the University of Memphis or university of Penn valley. From the clue 6 he is also not going to the  university of Sierra tech . Now only Reynoso is going to the St. Mary which is the surname of the Akinte.

Chuck is not going to St Mary, Sierra tech or Penn valley. He Memphis as pennigan which is his surname.

Norman does not go to Memphis, Penn valley or St Mary. He goes to Sierra tech as van hee which is his surname

From the clues Jenny does not go to Sierra tech, St Mary or Memphis. He goes for Penn valley as olowski, which is his surname.

Akinte Reynoso is the full name of Akinte and he is going to the St. Mary collage, Chuck Peningan is the full name of the chuck and he is going to the Memphis collage, Norma van hee is the full name of the Norma and he is going to the Sierra tech collage and Jenny olowski  is the full name of the Jenny and heis going to the Pann vally collage.

For more about the data interpretation, follow the link below-]

https://brainly.com/question/25529708

3/4 (6x + 1) - 3x = 1/4 (2x - 1) . The purpose of this question is to solve for x.

[tex]\mathbf{x = \dfrac{-4}{13}}[/tex]

Given that:

When calculating algebraic expression, we take note of integers in bracket first, then we collect the like terms in order to find the value of x.

[tex]\mathbf{\dfrac{3}{4} (6x + 1) - 3x =\dfrac{1}{4} (2x - 1) }[/tex]

Let's multiply both sides by 4 to eliminate the fraction.

[tex]\mathbf{(\dfrac{3}{4} \times 4) (6x + 1) - 3x =(\dfrac{1}{4} \times 4 ) (2x - 1) }[/tex]

[tex]\mathbf{(3) (6x + 1) - 3x =(1 ) (2x - 1) }[/tex]

18x + 3  - 3x = 2x - 1  

18x - 3x + 3 = 2x - 1

15x + 3 = 2x - 1

15x - 2x = - 3 - 1

13x = - 4

[tex]\mathbf{\dfrac{13x}{13} = \dfrac{-4}{13}}[/tex]

[tex]\mathbf{x = \dfrac{-4}{13}}[/tex]

Learn more about algebraic expressions here:

https://brainly.com/question/11227332?referrer=searchResults

Step-by-step explanation:

12n + 34n = 12

46n = 12

n = 12/46

= 0.2609

Answer:

6/23

Step-by-step explanation: