FroYo Express charges $5.75 for a large cup of frozen yogurt and $0.25 for each topping.The Big Chill charges $2.75 for a large cup of frozen yogurt and $1.25 for each topping. The graph represents the relationship between the number of toppings, x, and the total costof a large cup of frozen yogurt, y, at the two stores. For what total cost are the number of toppings the same at both stores?

Answer:

27n+66p and 12x+75y+21

Step-by-step explanation:

The greatest common factor is 3 for 27n + 66p and 12x + 75y + 21.

Factors of a number or an algebraic expression are the numbers or expressions which divides the given number evenly.

For example, 10 = 2 × 5

So we can say that 2 and 5 are factors of 10.

Greatest common factor of two numbers or expressions, as the name suggests is the greatest of all the common factors of the given numbers or expressions.

Consider 27n + 66p

Factors of 27n are 1, 3, 9 and 27

Factors of 66p are 1, 2, 3, 6, 11, 22, 33 and 66

Greatest common factor of both = 3

Consider 12x + 75y + 21.

Common factors of three of them are 1 and 3.

Greatest common factor is 3.

Hence the expression with greatest common factor as 3 are 27n + 66p and 12x + 75y + 21.

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Answer:

order of

Step-by-step explanation:

Answer:

7w-6w

Step-by-step explanation:

I think this is what your asking for. If it is, you distribute the w

Answer:

w

Step-by-step explanation:

You complete the subtraction in the parentheses first, then multiple that by w. So:

(7-6) x w

(7-6) = 1

1 x w = w

Answer:

(appx) 4.3

Step-by-step explanation:

[tex] \sin(64) = \frac{x}{10} [/tex]

[tex] = > 0.43 = \frac{x}{10} [/tex]

[tex] = > x = 4.3[/tex]

Answer:

if the mean of 4 numbers is 30 then that means that the total of all the numbers added together must add up to 120 (30 x 4)

then you subtract the three numbers that you have from the total

120-12-50-48 = 10

so the last number is 10

Step-by-step explanation:

Answer:

Approximately 70 degrees

Step-by-step explanation:

If we make a right triangle connecting the two buildings, we get a triangle with height 278m and length 100m

We can connect these two values to the theta by using the inverse tan formula

arctan(278/100) = 70.21572110836 degrees.

The angle of depression is approximately 70 degrees

Answer:

37

Step-by-step explanation:

4(9) + 1 = 37

Answer:

There are 37 quarters in $9.25

Step-by-step explanation:

.25 x 37 = 9.25

or

.25 +.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+.25+....till 37

Answer:

[tex]-x^2+6x-19[/tex]

Step-by-step explanation:

Step one:

given

[tex]2x^2+5x-10\\\\3x^2 - x + 9[/tex]

we want to perform a subtraction operation

[tex]2x^2+5x-10-(3x^2 - x + 9)\\\\ 2x^2+5x-10-3x^2 + x - 9 \\\\[/tex]

collect like terms

[tex]2x^2-3x^2+5x+x-10-9\\\\-x^2+6x-19[/tex]

Answer:

2.52

Step-by-step explanation:

Answer:

2.52

Step-by-step explanation:

Answer:

(3,-5)

Step-by-step explanation:

I'm pretty sure sorry if I'm wrong

Answer:

im pretty sure its 30%. because 70% are in heath. so 30% of the students arent. i think... hope this helped.

Step-by-step explanation:

Answer:

i'm pretty sure its 30%.

Step-by-step explanation:

because 70% are in heath. so 30% of the students arent. i think... hope this helped.

Answer:

Brandon wants $490 in 16 years by investing "x" dollars in an account that pays  5% compounded quarterly.   How much is "x"?

Principal = Total / [ (1 + (r/n) )^ n * years]

n = 4 (for compounded quarterly)

Principal = 490 / [ (1. + (.05/4)) ^ 4 * 16]

Principal = 490 / [ (1.0125)^ 64]

Principal = 490 / 2.2145324106

Principal = 221.2656710971

So, if we invested 221.27 for 16 years at 5% compounded quarterly interest,  we would have a total of $490.00

Step-by-step explanation:

Answer:

221

Step-by-step explanation:

I just know

Answer: least value - 22

first quartile - 29

median - 35

third quartile - 47

greatest value - 62

Step-by-step explanation:

It should be noted that 24 percent of 60 is 14.4.

The question is to calculate 24% of 60.

This will go thus:

= 24% × 60

= 24/100 × 60

= 0.24 × 60

= 14.4

Therefore, 24% of 60 is 14.4.

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Answer:

x = -3

y = 0

Step-by-step explanation:

The horizontal asymptote of the rational function y = (8 · x² + 7 · x - 5) / (5 · x² + 2 · x + 6) is y = 8 / 5.

A horizontal asymptote of a rational function is an horizontal line equations to which the rational function tends to when x tends to the infinite. The horizontal asymptote exists whether the lead grade of the numerator is not greater than the lead grade of the denominator.

Now we proceed to find the value of the horizontal function by using limit properties for rational functions:

y = 8 / 5

The horizontal asymptote of the rational function y = (8 · x² + 7 · x - 5) / (5 · x² + 2 · x + 6) is y = 8 / 5.

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Answer: Local Department Store: $6.5, $118.5

Across Town: $13, $102

Neighboring City: $26, $96

Step-by-step explanation:

Local Department Store: 1 hr=60 min.

60/15=4

26/4=$6.5

112+6.5=$118.5

Across Town: 60/30=2

26/2=$13

89+13=$102

Neighboring City: 60/60=1

26/1=$26

70+26=$96

Answer:

5 units

Step-by-step explanation:

its hard to tell but i think it dilated 5 units

We want to find the scale factor at which QRST is dilated to form Q'R'S'T'

We will find that the scale factor is 2.

In a general dilation, we will see that all the measures change in the same way, by the scale factor.

This means that:

QR*k = Q'R'

RS*k = R'S'

And so on, where k is the scale factor.

Then we can just find one of the equivalent measures in both trapezoids and find the value of k.

For example, we have:

Q'R' = 8

QR = 4

Replacing these on the above equation we get:

4*k = 8

k = 8/4 = 2

k = 2

The scale factor of dilation is 2.

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Answer:

= 13

Step-by-step explanation:

When you are subtracting a negative both the subtraction sign and the negative cancel out. This makes it so that you are adding them together.

Answer:

the answer is 13

Step-by-step explanation:

This is because when you subtract a positive by a negative if the positive is larger it will be considered the same as addition

Answer:

  C

Step-by-step explanation:

You want to choose the number line graph that appropriately represents the inequality 0 < x ≤ 26.

The given compound inequality is conveniently written with the "arrows" pointing to the left. This means the lower limit of the variable is on the left side of the inequality, just as it is on the left end of the number line graph.

The inequality symbols used are "less than" (<) and "less than or equal to" (≤). The "less than" symbol is represented on a number line graph by an open circle. The "less than or equal to" symbol is represented by a filled dot on the number line.

This means you are looking for a graph that has an open circle on the left end of a solid line, and a filled dot on the right end. Only graphs B and C have finite-length lines, and only graph C has a filled dot at the right end.

In English, the word "between" often implies "and including" when it is describing an interval between two limits. Here, you are given 3 car seat specifications:

The seats appropriate for a 33-lb child would be seats B and C, because 33 is included in each of those intervals.

Step-by-step explanation:

1) given

2) 2 non - common sides in 1 ray

3) supplemental

5) opposite angles are congruent

Reasons:

(1) Given

(2) their 2 non-common sides in 1 ray

(3) definition of supplemental angles

(4) Substitution

(5) Opposite angles are congruent (equal)

(6) Substitution

(7) Definition of supplementary angles

Answer: eighty six point zero four zero zero five. OR eighty six and four thousand five, hundred thousandths

Step-by-step explanation:

the place value answer is a little confusing but its correct i believe

Answer:

k

Step-by-step explanation:

10)×20+21-150

you will end up getting your answers

I want you to just do the easy bit

the calculations if that's alright

Answer:

False

Step-by-step explanation:

its 256.............................

Answer:

60%

Step-by-step explanation: i hope this heple

\

Answer:

180°

Step-by-step explanation:

Two adjacent angles whose sum add up to 180°are called Linear pair. The uncommon arms of two adjacent angles form a straight line.