Anna is given the equation 5 + 3x = 3x + 5
The replacement set is {1, 2, 3, 4}
Anna says the solution is {2}, but the teacher marked her problem incorrect. Explain what the answer should be and why. Why do you think this is?

Answer:

a₆ = [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

The n th term of a geometric progression is

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 12 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex] , thus

a₆ = 12[tex](\frac{1}{2}) ^{5}[/tex] = 12 × [tex]\frac{1}{32}[/tex] = [tex]\frac{12}{32}[/tex] = [tex]\frac{3}{8}[/tex]

Answer:

It should.

Step-by-step explanation:

If a nearby city is losing people then the large city should try to help.  

Answer:

b

Step-by-step explanation:

==================================

Work Shown:

(1 inch)/(3.5 miles) = (x inches)/(77 miles)

1/3.5 = x/77

1*77 = 3.5*x ..... cross multiply

77 = 3.5x

3.5x = 77

x = 77/3.5

x = 22

22 inches on paper correspond to 77 miles in real life.

Answer:

100 has 5 factor pairs, so that many different rectangles can be drawn. 15 only has 2 factor pairs, so only that many different rectangles can be drawn.

Explanation:

there are 5 pairs of whole numbers that multiplied together will be 100:

while there are only 2 pairs of whole numbers that multiplied together will be 15:

Answer:

10/8 or 5/4

Step-by-step explanation:

It is pretty easy. If you look at the problem it says "1/8 of a gram of honey to make 1/10 of a cake" That means that we should multiply 1/8 by 10 so it will become a whole cake.

1/8 * 10 = 10/8

If you want we can simplify it.

5/4

And that's your answer!

Answer: 53°

Step-by-step explanation: If two parallel lines are cut by

a transversal, then same-side interior angles are supplementary.

So if we know one of our angles measures 127,

our other angle will measure 180 - 127, which is 53.

So x is 53 degrees.

Remember, whenever you have two parallel lines cut by a transversal,

same-side interior <'s are supp. or the sum of their measures is 180 degrees.

Answer:

5/4

Step-by-step explanation:

Yeeeeeeeeeeeeeeeeeeeeeeee

Answer:

5/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

P = pizza slices

S= soda drinks

98 = 23*P + 31*S

Answer:

7

Step-by-step explanation:

Multiply - and -13 first which is 13 subtract 6 from 13 and you will get 7 which is the answer

Hope this helps!

Answer:

y=0.25x+3

Step-by-step explanation:

Answer:

The first and second angles are 27° and the third angle is 126°.

Step-by-step explanation:

We have that the third angle (β) is 45° more than three times the measure of either of the other two​ angles (θ):

[tex] \beta = 45 + 3\theta [/tex]     (1)

Also, the sum of the measures of the 3 angles is 180°:

[tex] \beta + \theta + \theta = 180 ^{\circ} [/tex]   (2)

By entering equation (1) into equation (2) we have:

[tex] 45 + 3\theta + \theta + \theta = 180 [/tex]  

[tex] 5\theta = 180 - 45 [/tex]

[tex] \theta = 27 [/tex]

Hence, the third angle is:

[tex] \beta = 45 + 3\theta = 45 + 3*27 = 126 [/tex]                                  

Therefore, the first and second angles are 27° and the third angle is 126°.

I hope it helps you!

Answer: C is your asnwer

Step-by-step explanation:

Answer:

it is c

Step-by-step explanation:

Answer:

74.52

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

(7w + 9x)(7w - 9x)

Step-by-step explanation:

 Given expression;

        49w²  - 81x²

Now to solve the problem;

         49w² - 81x² = 7²w² - 9²x²

Using differences of two squares;

        x²  - y²   = (x + y)(x - y)

So;

7²w² - 9²x²  = (7w + 9x)(7w - 9x)

Answer:

She put in $7.50

Step-by-step explanation:

Answer:

Y=30

Step-by-step explanation:

we know that Y+150=180 as it is a linear pair

so, Y= 108-150

which will be 30

Answer:

The perimeter of a quadrilateral will be equal to the addition of the length of each side of the quadrilateral.

Here we only have the vertices of the quadrilateral, and to calculate the length of the sides, first we need to plot the points in a graph and see which pairs make the quadrilateral.

You can see the image below, where i did a rough sketch of the problem.

in the image, you can see that the sides of this rectangle are the ones formed by the pairs:

(-4,3) and (-2, 8)

(-2, 8) and (2, 5)

(2,5 ) and (1, -7)

(1, - 7) and (-4, 3)

Now let's calculate the length of each side.

Remember that when we have two points (a, b) and (c, d) the distance is:

D = √( (a - c)^2 + (b - d)^2)

Now we need to calculate four distances:

(-4,3) and (-2, 8)

D1 = √( (-4  + 2)^2 + (3 - 8)^2) = 5.39

(-2, 8) and (2, 5)

D2 = √( (-2  - 2)^2 + (8 - 5)^2) = 5

(2,5 ) and (1, -7)

D3 = √( (2  - 1)^2 + (5 + 7)^2) = 12.04

(1, - 7) and (-4, 3)

D4 = √( (1  +4)^2 + (-7 -3)^2) = 11.18

Now we add those four distances to get the perimeter:

P =  5.39 + 5 + 12.04 +  11.18 = 33.61

And we want to round it to the next whole number, because the first digit after the decimal point is larger than 5, we round up, and get:

p = 37

Answer:

I think is c

Step-by-step explanation:

The number of people who are sampled in the census is the whole population which is, 540,000.

Given that,

Size of the population = 540,000

We have to take a census regarding something which is not mentioned for this population.

In census, contrary to survey and other modes of taking information, the entire population will be sampled for the collection of the information rather than taking a sample of smaller size.

So there can't be a sample which contains less number of individuals or units for taking the information.

So the whole population of 540,000 people are included in the sample.

Hence the correct option is C, which is 540,000.

To learn more about Census, click on the link given here :

https://brainly.com/question/9372289

#SPJ1

Answer:

C

Step-by-step explanation:

4a+10=180

4a=170

a=42.5

42.5*2=85

Answer: C. 85.0 degrees

Step-by-step explanation: First you find a using the equation they gave you. A=42.5. Then you plug it into the measures of the angles. But just by looking at the angles you can tell 2a would be the largest so you just plug a in there and you get your answer!

Answer:

Step-by-step explanation:

2 inches = 5 miles.

So if you divide both sides by 2,

1 inch = 2.5 miles

To find how many miles 6.5inches is equal to, multiply 2.5 by 6.5

6.5 inches = 2.5 x 6.5 = 16.25 miles

Answer:

x = -7

Step-by-step explanation:

Given parameters:

Slope of the line = [tex]\frac{4}{3}[/tex]

 Coordinates =  (5,x) and (2,-3)

Unknown:

X= ?

Solution:

  To find slope, use the expression below;

   Slope  = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

y₂ = -3  y₁ = x

x₂ = 2   x₁ = 5

   [tex]\frac{4}{3}[/tex]  = [tex]\frac{-3 - x}{2 - 5}[/tex]

           3(-3-x) = 4(-3)

            -9 -3x = 12

                -3x = 21

                  x = -7