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GaryK [48]
3 years ago
15

Carrie is planning her birthday party at a restaurant. She cannot spend more than $75 on the party. The cost per person for the

meal is $12. There is also a $10 charge for the room. The number of friends, f, that Carrie can invite is represented by the inequality 12f + 10 < 75. How many friends can Carrie invite to the party if her budget is $75 or less?
Mathematics
2 answers:
katen-ka-za [31]3 years ago
5 0

Answer:

Carri can invite 5 friends to her birthday party

Step-by-step explanation:

abruzzese [7]3 years ago
4 0

Answer:

carrie can invite 5 friends with some money left over

Step-by-step explanation:

12f+10<75

12f<75-10     *carry the 10 over

12f<65           *simplify

f<65/12        *carry the 12 over

f<5.42         *simplify

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Write the equation for function g(x)
iragen [17]

Answer:

g(x) = (x + 2)^2 + 1

Step-by-step explanation:

From the graph/image that you have provided said translated shift of

f(x) -> g(x)

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

h is shift right/left

k is shift up/down.

It appears that the shift is left 2 and up 1.

h = -2 and k = 1

g(x) = (x - (-2))^2 +1

g(x) = (x + 2)^2 + 1

5 0
2 years ago
Rotate this image 90 clockwise around the point (-1 1 )
nekit [7.7K]
To rotate clockwise 90 degrees from a point (x, y) the image will be (y, -x)

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6 0
3 years ago
Write a linear equation that passes through the two points (-6, -7) and (3, -4).
Phantasy [73]

linear equation that passes through the two points (-6, -7) and (3, -4) is y=\frac{1}{3}x-5

Step-by-step explanation:

We need to write the equation that passes through the two points (-6, -7) and (3, -4).

The equation can be written is point slope form.

The standard form of point slope equation is:

y=mx+b

where m is the slope and b is the y-intercept

Finding slope m:

Slope can be found by using formula:

slope = \frac{y_{2}-y_{1}}{x{2}-x_{1}} \\Where\,\, y_{2}=-4,y_{1}=-7,x{2}=3,x_{1}=-6\\slope =\frac{-4-(-7)}{3-(-6)}\\slope=\frac{-4+7}{3+6}\\slope=\frac{3}{9}\\slope=\frac{1}{3}

So, slope is \frac{1}{3}

Now finding y-intercept b

Putting slope \frac{1}{3} and point(-6,-7)

y=mx+b\\x=-6,y=-7,m=\frac{1}{3} \\-7=\frac{1}{3}(-6)+b\\-7=-2+b\\b=-7+2\\b=-5

So, value of b is -5

Putting values to find the equation:

y=mx+b\\m=\frac{1}{3} and b=-5\\y=\frac{1}{3}x-5

So, linear equation that passes through the two points (-6, -7) and (3, -4) is y=\frac{1}{3}x-5

Keywords: Linear Equation,

Learn more about Linear Equation at:

  • brainly.com/question/12954015
  • brainly.com/question/1979240
  • brainly.com/question/2601054

#learnwithBrainly

5 0
3 years ago
I need #3 done ASAP (Must show work) Will give brainliest
Alenkinab [10]

Step-by-step explanation:

<u>Statements                                                  Reasons                                    </u>

1 . ∠ABC and ∠CBD are a linear pair         Given

2. m∠CBD = m∠EFG                                   Given

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4. m∠ABC + m∠CBD = 180°                        Definition of supplementary

5. m∠ABC + m∠EFG = 180°                         Substitution property

6. ∠ABC and ∠CBD are supplementary    Definition of supplementary

4 0
2 years ago
What’s the correct answer
Vesnalui [34]
The correct answer is B because if you count the numbers that are more than 35 and less than 56 is 8
3 0
3 years ago
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