MATHEMATICS HIGH SCHOOL

Fiona and her friends went to a smoothie shop. They ordered three strawberry smoothies and two protein shakes for a total of $24.00. Last week they ordered one strawberry smoothie and four protein shakes for a total of $25.50. The system that represents their purchases is below.x + 4y = 25.50

3x + 2y = 24.00

What is the price of a protein shake?

Answers

Answer 1
Answer: I believe the answer is 5.15 .
Answer 2
Answer:

Answer:

Its D   5.25

Step-by-step explanation:

Just took the test

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(2,?) is on the line 4x – 5y = -7. Find the other half of the coordinate.

I know that 700 ÷ 70 = 10 because the 7 in 700 represents
times what it represents in?

Answers

100 because 100 x 7 = 700.

What is the sum of 7/22 and 9/22

Answers

 when u have a common a denominator then you just add the numerator that would be 7 and 9. 7 + 9= 16
so ur solution would be 16/22 and then u would simplify by dividing both values by 2.
so the solution is8/11

You need a common denominator. You already have one. So add 7+9=16. Put 16 over 22. That's your answer without reduction.

When you reduce it, divide it by 2 since its an even number.

16/22=8/11

The Surf Shop gives surfinglessons to 72 people. If the
shop gives lessons to groups
of 5 people, how many total
groups will there be?

Answers

Answer:

15

Step-by-step explanation:

Just divide 72 by 5 because of there being 72 total peoples and them being DIVIDED into groups of 5.

72/5=14.4

Though you cant have a .4 group of people, so there would be 15 groups.

Can someone help me with this question and explain it?

Answers

Answer:

m∠1 = 90°

m∠2 = 53°

m∠3 = 37°

Step-by-step explanation:

The given diagram shows three straight lines intersecting at one point.

According to the Vertical Angles Theorem, when two straight lines intersect, the opposite vertical angles are congruent.

Angle 1 is vertically opposite to the angle marked 90°. Therefore:

  • m∠1 = 90°

Angle 2 is vertically opposite to the angle marked 53°. Therefore:

  • m∠2 = 53°

Angle 3 is vertically opposite to the angle marked 37°. Therefore:

  • m∠3 = 37°

ALGEBRA 1, SEMESTER 2What is the average rate of change of the function over the interval x = 0 to x = 8?

f(x)=2x+3/3x−3
Enter your answer, as a fraction

Answers

Replace X with 0 and solve the equation, then replace x with 8 and solve the equation again.

Then find the difference between the 2 answers and divide that by the difference in the 2 X values.:


f(0) = 2(0) + 33(0) -3 = -3

f(8) = 2(8) +33(8) - 3 = 16 + 264 - 3 = 280-3 = 277

Difference: 277 - (-3) = 277+3 = 280


Difference between the X values 8 - 0 = 8


Average rate of change: 280 / 8 = 35

Which equation describes the line that contains (1,5) and has a slope of 2

Answers

The equation that describes the line that contains (1,5) and has a slope of 2 is y = 3x + 2

The equation of a line in point slope form is expressed as;

  • y-y0 = m(x - x0)

  • m is the slope of the line
  • (x0, y0) is the point on the line

Given the following parameters;

Slope  = 2

Point on the line is (1, 5)

Substitute the given parameters into the formula to have:

y - 5 = 3(x-1)

y - 5 = 3x - 3

y = 3x + 2

Hence the equation that describes the line that contains (1,5) and has a slope of 2 is y = 3x + 2

Learn more on equation of a line here: brainly.com/question/18831322
in order to write an equation you need to find the y-intercept. the way you do this is by plugging in the value 2 and the point into y=mx+b and solving for b. once you plug everything in you get 5=2(1)+b. solving from here you get b=3. putting everything together you get y=2x+3
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