6. Stacy has 3 lb of grapes to make 10 bowls of fruit salad. If her recipe calls
for 4 oz of grapes per bowl, will she have enough grapes? How much leftover
does she have, or how much extra is needed?

9514 1404 393

Answer:

Step-by-step explanation:

For many "mixture" problems, it is convenient to use a variable for the quantity of the highest contributor. Here, we can use 'a' to represent the number of adult tickets, because adult tickets cost the most. Then the number of student tickets is (a+25), and the total revenue is ...

  6a +3(a+25) = 660

  9a +75 = 660

  9a = 585

  a = 65

  (a+25) = 90

The drama class sold 90 student tickets and 65 adult tickets.

Answer:

15 minutes

Step-by-step explanation:

400 to 2000(x5)

so, 3 times 5 is equal to 15 min

Answer:

The answer is 11. 2 is the remainder

Step-by-step explanation:

hope this helps

Answer:

146

Step-by-step explanation:

because 3times the cups is 36

so four times more 36

There are 13 cups of flour in this recipe when Katie uses 12 cups of flour and sugar to make cookies. The amount of flour is four more than three times the amount of sugar.

Let's assume the amount of sugar used in the recipe is represented by the variable "s."

According to the given information, the amount of flour used is four more than three times the amount of sugar. In mathematical terms, this can be expressed as:

Flour = 3s + 4

Now, we know that Katie uses 12 cups of flour in the recipe. We can set up an equation to solve for the amount of sugar:

12 = 3s + 4

Subtracting 4 from both sides of the equation:

12 - 4 = 3s

8 = 3s

Dividing both sides by 3:

8/3 = s

s = 2.67

Since the number of cups of sugar must be a whole number, we can round the value to the nearest whole number. Thus, s ≈ 3.

Now, we can find the amount of flour by substituting the value of sugar into the equation:

Flour = 3s + 4

Flour = 3(3) + 4

Flour = 9 + 4

Flour = 13

Therefore, there are 13 cups of flour in this recipe.

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Answer:

6

Step-by-step explanation:

180 / 4 = 45

45mi = 1hr

270 / 6 = 45

Answer:

[tex]\{x:x>5\}[/tex]

Step-by-step explanation:

Given

[tex]12 - x < 7[/tex]

Required

Values of x that make it true

First: solve the inequality.

[tex]12 - x < 7[/tex]

Collect Like Terms

[tex]- x < 7-12[/tex]

[tex]- x < -5[/tex]

Multiply both sides by -1

[tex]-1 * - x < -5 * -1[/tex]

[tex]x > 5[/tex] --- The inequality changes when multiplied by a negative value

So, the solution implies that the value of x is greater than 5 (i.e. 6, 7, 8..)

Hence, the set is:

[tex]\{x:x>5\}[/tex]

Answer:

-7

Step-by-step explanation:

you basically just move across and because its moving to the left its a negative

Shape P is translated to shape Q using b[tex]\left[\begin{array}{ccc}7\\4\end{array}\right][/tex]..

In mathematics, a translation is the up, down, left, or right movement of a shape. Because the translated shapes appear to be exactly the same size as the original ones, they are congruent with one another.

Given:

The shape P is mentioned on the graph is translated to shape Q.

So, the shape shifted 7 units to left.

and, the shape needs to shift downwards 4 places.

Hence, the required vector is [tex]\left[\begin{array}{ccc}7\\4\end{array}\right][/tex].

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Answer:

P = 2288 W

Step-by-step explanation:

The power, P (watts), of a car engine is proportional to the square of its speed i.e.

[tex]P\propto s^2[/tex]

or

[tex]P=ks^2[/tex]

Put s = 35, P = 1760 to find k.

[tex]k=\dfrac{P}{s^2}\\\\k=\dfrac{1760}{35^2}\\\\k=1.43[/tex]

Now put k = 1.43 and s = 40. So,

[tex]P=1.43\times (40)^2\\\\P=2288\ W[/tex]

So, the new power is 2288 W when the speed is 40 m/s.

Answer:

98

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area:

Circumference:

Substitute values in area:

Circumference is:

Answer:

the first one or A. hope this helps.

Step-by-step explanation:

9514 1404 393

Answer:

  48

Step-by-step explanation:

Evaluate each of the functions by putting the number where x is.

  [tex]g(x)=x^2-4\\\\g(-7)=(-7)^2-4=49-4\\\\\boxed{g(-7)=45}\\\\f(x)=x+4\\\\f(-7)=-7+4\\\\\boxed{f(-7)=-3}[/tex]

Then the difference is ...

  g(-7) -f(-7) = 45 -(-3) = 45 +3 = 48

Answer:

solution given;

g(x)=x²-4

f(x)=x+4

Now

g(-7)-f(-7)=(-7)²-4-(-7+4)=49-4+3=48

48 is a required answer.

Answer:

30+11x−28x2

Step-by-step explanation:

it is 30+11x-28x2

Answer:

7−5x from 2−3x

Step-by-step explanation:

you flip them and get 2−3x 7−5x. try it that way...

i forgot to bring a piece of paper, im on the road

Answer:

f(g(4)) = -2

Step-by-step explanation:

First, find g(4) by plugging in 4 as x into the function:

g(x) = 2x - 3

g(4) = 2(4) - 3

g(4) = 8 - 3

g(4) = 5

f(g(4)) can be found by finding f(5), since g(4) = 5

Find f(5) by plugging in 5 into the function:

f(x)= x - 7

f(5) = 5 - 7

f(5) = -2

So, f(g(4)) = -2

Answer:

y = -1/2x + 4

Step-by-step explanation:

to answer this question you need to find the slope and the y-intercept

to find the slope of a line that is perpendicular to another line you take the opposite and reciprocal of the slope of the first line

in this case the slope of the initial line is 2; therefore, the opposite reciprocal is -1/2

knowing slope ('m') = -1/2 and having the point (-2, 5) can give us the y-intercept of the new line; we start with:

y = mx + b  and then plug the values in so find the y-intercept ('b')

5 = (-1/2)(-2) + b

5 = 1 + b

b = 4

put it all together:  y = -1/2x + 4

Answer:

3 2/5

I converted these into decimals, because I find it easier ^.^

We have an 8 feet board, and we twice remove 2 1/3 from that number.

8 - 2 1/3 = 5.7

5.7 - 2 1/3 = 3.4 or 3 2/5

~Hope this helps~

Answer:

ill say its c but im not that sure

Step-by-step explanation:

Answer:

0.0023 or 23 / 10000

Step-by-step explanation:

23% = 0.23

0.23 / 100 = 0.0023

Answer:

23

Step-by-step explanation:

anything over 100 s a percent

like 15/100 is 15%

Answer:

a) 33

B) 65?

C) 60?

D) Becuase its the same shape just smaller.

E) 14, its cut in half

Step-by-step explanation:

be careful if you use these, its been a while since I geometry.

Answer:

x = -7

Step-by-step explanation:

it’s right!

Answer:

B) Exp. Decay

Step-by-step explanation:

Because the term getting raised to a power is under 1, the function immediately starts going down and approaches negative infinity as x approaches infinity.

The type of function is f(x)=2(1/7)^x is Exponential Decay, the correct option is B.

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Linear function is a function whose graph is a straight line

We are given that;

Function; f(x)=2(1/7)^x

Now,

The function has the form f(x)=abx

where a and b are constants and b is between 0 and 1. In this case, a is 2 and b is 1/7, which is less than 1. This means that the function decreases as x increases.

Therefore, by the given function the answer will be Exponential Decay.

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Answer: 12

Step-by-step explanation:

Answer:

19) Domain: - ∞ < x < ∞                    20) Domain:  - ∞ < x < ∞

Range: - ∞ < y < ∞                                  Range: - ∞ < y < ∞

Increases throughout                            Decreases throughout

Step-by-step explanation:

Given the parent function " y = ∛x" we know that the first graph should have a vertical shift down 2 units, and a horizontal shift 4 units to the right. There is no vertical stretch since there is no coefficient. (Check first graph)

Domain: - ∞ < x < ∞

Range: - ∞ < y < ∞

Increases throughout

______________________________

For the second graph there should be a vertical shift down three units, a horizontal shift 1 unit to the left, and a vertical stretch by a factor of - 1. (Check second graph)

Domain: - ∞ < x < ∞

Range: - ∞ < y < ∞

Decreases throughout

Answer :

Statements :-

1. Segment XY is parallel to segment WV.

2. Angle 1 is congruent to angle 2.

3. Angle 3 is congruent to angle 1.

4. Angle XMY is congruent to angle VMW.

Reasons :-

1. Given

2. Given

3. Given

4. SSS (Side-Side-Side)

Hope this helps, thank you !!

Answer:

you didint explainded well

Step-by-step explanation:

Step-by-step explanation:

y=a

x= 3a

z=8a

3a+8a+a=524

12a=528

a=44

X=3×44=132

z=8×44= 352

Answer:

y=a

x= 3a

z=8a

3a+8a+a=524

12a=528

a=44

X=3×44=132

z=8×44= 35

2

Step-by-step explanation:

Step-by-step explanation:

y = 25t + 250

y is the total amount

t is number of times babysitting