Austin made 5 quarts of his special from-scratch cupcake mix. He was able to make 32 identical cupcakes using 3.5 quarts of his special mix. Austin would like to bake 20 more identical cupcakes to ice each cupcake in the likeness of a playing-card. Does he have enough left to create 20 additional cupcakes? Explain.

Answers

Answer 1

9514 1404 393

Answer:

  no

Step-by-step explanation:

We can write a proportion to find how much mix is required to make 52 cupcakes.

  quarts/cupcakes = 3.5/32 = x/52

Multiplying by 52, we find ...

  x = 52(3.5/32) = 5.6875 . . . quarts needed for 52 cupcakes

This is more mix than Austin made. He does not have enough left for 20 more cupcakes.


Related Questions

Please help I’ll number 12!

Answers

Answer: y = -3/4x - 0.75

Step-by-step explanation:

The slope needs to be negative so that it's perpendicular to

y = 3/4x - 1

The equation then looks like this

y = -3/4x

We can get an exact y intercept number by using the cordinates

Lets input cordinates (3,-3)

-3 = -3/4(3)

-3 = -2.25 - 75 ( I inferenced )

-3 = -3

now that we got the y intercept lets put it all together

y = -3/4x - 0.75

A manufacturer of women’s blouses has noticed that 80% of their blouses have no flaws, 15% have one flaw, and 5% have two flaws. If you buy a new blouse from this manufacturer, the expected number of flaws will be:_________

a. 0.15
b. 0.20
c. 0.80
d. 1.00
e. none of the above

Answers

Answer:

b

Step-by-step explanation:

80% +15% +5%=100

15/100= 0.15

5/100= 0.05

therfore

0.15 + 0.05 = number of flaws

=0.20

Based on the flaws that the manufacturer notices, we can infer that the expected number of flaws will be 0.25 which is e. none of the above.

The expected number of flaws is a weighted average of the percentages that have flaws:

=∑ (Percentage of flaws x Number of flaws)

The expected number of flaws is therefore:

= (80% x 0) + (15% x 1) + (5% x 2)

= 15% + 10%

= 0.25

In conclusion, you would expected the number of flaws to be 0.25.

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the product of 0.43 and 5.024 is greater than 0.43 and less than 5.024 true or false

Answers

Answer: True

Step-by-step explanation:

First find the product of 0.43 and 5.024 so see if it is greater than 0.43.

 0.43 * 5.024 = 2.16032  

2.16032 is indeed greater than 0.43  ,  2.16032 > 0.43

And 0.43 is indeed less than 5.024 , 0.43 < 5.024  

Meaning that this state is true.

Answer:

True

Step-by-step explanation:

Product refers to multiplication, the question is telling us to multiply 0.43 and 5.024 so lets do that

0.43 * 5.024 = 2.16032

Now we have to figure out if this fits the criteria. It must be larger than 0.43 but smaller then 5.024

...

...

...

That checks out.

True

Brainliest is much appreciated!

Please help it would help a lot

Answers

Answer:

1/2

Step-by-step explanation:

Answer:

y÷x 1÷2=1/2 This is the answer.

What is the equation of the line that passes through the point (-5,-7)and has a slope of 2/5

Answers

Answer:

6.33333 is the answer <3

A communications tower is supported by two wires, connected at the same point on the ground. One is attached to the tower at D and the long-on at C. The angle AD makes with the ground is 30 ° and the angle between the two wires is 10 °. How much below the top of the tower is the shorter one attached?

Answers

Answer:

10.99 m

Step-by-step explanation:

✍️What we are basically asked to solve here is to find the distance between C and D.

To find CD, find the length of BC, and BD. Their difference will give us CD.

Thus, BC - BD = CD.

✍️Finding BC using trigonometric ratio formula:

[tex] \theta = 30 + 10 = 40 [/tex]

Opposite side = BC = ??

Adjacent side = 42 m

Thus:

[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]

Plug in the values

[tex] tan(40) = \frac{BC}{42} [/tex]

Multiply both sides by 42

[tex] tan(40) \times 42 = \frac{BC}{42} \times 42 [/tex]

[tex] 35.24 = BC [/tex]

BC = 35.24 m

✍️Finding BD using trigonometric ratio formula:

[tex] \theta = 30 [/tex]

Opposite side = BD = ??

Adjacent side = 42 m

Thus:

[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]

Plug in the values

[tex] tan(30) = \frac{BD}{42} [/tex]

Multiply both sides by 42

[tex] tan(30) \times 42 = \frac{BD}{42} \times 42 [/tex]

[tex] 24.25 = BD [/tex]

BD = 24.25 m

✍️How much below the top of the tower is the shorter one attached:

Thus,

BC - BD = CD

35.24 m - 24.25 m = 10.99 m

1. An integer is 3 less than 5 times another. If the product of the two integers is 36, then find the integers.

Answers

Answer:

3 and 12

Step-by-step explanation:

3*5=15 and 15-3=12. The product of 3 and 12 is 36.

The integers are 3 and 12.

What is Algebra?

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

let the one integer be x.

Another integer = 5x - 3

According to question,

x *(5x-3 ) =36

5x ² -3 x =36

5x² -3 x - 36 = 0

5x² -15 x +12 x - 36 =0

5x( x-3) + 12 ( x -3) =0

(5x +12)( x- 3)=0

x= -12/5 or 3

So, the integers are 3 and 12.

Learn more about this concept here:

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If (4,-3) is the midpoint of the line segment ST and the coordinates of S are (1,5), find the
coordinates of T.

Answers

Answer:

[tex](7,-11)[/tex]

Step-by-step explanation:

Given

[tex]S = (1,5)[/tex]

[tex]M = (4,-3)[/tex]

Required

Determine the coordinates of T

Midpoint is calculated as:

[tex]M(x,y) = \frac{1}{2}(x_1 +x_2,y_1+y_2)[/tex]

Where:

[tex](x,y) = (4,-3)[/tex]

[tex](x_1,y_1) = (1,5)[/tex]

Substitute these values in the above formula:

[tex](4,-3) = \frac{1}{2}(1 + x_2,5+y_2)[/tex]

Multiply through by 2

[tex]2 * (4,-3) = 2 * \frac{1}{2}(1 + x_2,5+y_2)[/tex]

[tex](8,-6) = (1 + x_2,5+y_2)[/tex]

By direct comparison:

[tex]1 + x_2 = 8[/tex] and [tex]5 + y_2 = -6[/tex]

Solving for x2

[tex]1 + x_2 = 8[/tex]

[tex]x_2 = 8 - 1[/tex]

[tex]x_2 = 7[/tex]

Solving for y2

[tex]5 + y_2 = -6[/tex]

[tex]y_2 = -6 - 5[/tex]

[tex]y_2 = -11[/tex]

Hence, the coordinates of T is: [tex](7,-11)[/tex]

a window washer clean 38 windows in 2 hours at this rate how many windows did he clean in 7 hours?​

Answers

Answer:

133 windows

Step-by-step explanation:

What is f(4) for the function f(x)= 6x+7?

Answers

Answer:

31

Step-by-step explanation:

f(4) = 6x4 + 7

= 24 + 7

= 31

solve 1,000x10 hint: use a strategy

Answers

Answer:

10000

Step-by-step explanation:

Answer:

10,000

Step-by-step explanation:

You just take the 0's and then you mutiply 1x1 and the answer you add the cero's you left  the one from the number 10 and allso the ones from 1000

FINANCE

2. Which of the following statements is FALSE?

A. Common stockholders have an upper limit on their dividends
B. Preferred stockholders are more protected from risk than common stockholders.
C. Common stockholders own the firm and are among the last to be paid in the event of bankruptcy.
D. Preferred stockholders are

Answers

Answer: I think its C

Step-by-step explanation:

A wave is traveling with a speed of 500 m/sec and has a wavelength of 10 m. Determine its frequency.

Answers

Answer:

I'm gonna get more people here

Answer:

50 hz  yw pplz

Step-by-step explanation:

Helpoooooooooooooooooooo

Answers

Answer:

1. x >/= -1

2. x < 4

3. x </= -1

4. x >/= -2

5. x < -3

6. x </= 7

Step-by-step explanation:

Substitute u = 26 into u + 34 to find the value of the left-hand side of the equation

Answers

Answer:

60

Step-by-step explanation:

The answer is 60 because the equation u = 26 tells us u is 26

So we can plug in 26 into u + 34

It should look like this 26 + 34 and it equals 60

pls mark brainliest

Geometry: Express the area of each figure as a monomial. I need help with this, anyone? ​

Answers

Answer:

answer 28ab³ I think maybe

The area of the right-angled triangle is represented as the monomial [tex]12a^3b^4[/tex].

Here,

The formula to calculate the area of a right-angled triangle is:

Area = (1/2) * base * height

In this case, the right-angled triangle has a height of [tex]6ab^3[/tex] and a base of [tex]4a^2b[/tex].

Now, let's substitute these values into the formula:

Area = [tex](1/2) * 4a^2b * 6ab^3[/tex]

Now, simplify the expression:

Area = [tex]2 * a^2b * 6ab^3[/tex]

To find the monomial representation, multiply the coefficients and add the exponents of like terms:

Area = [tex]12a^{(2+1)}b^{(1+3)[/tex]

Finally, simplify the exponents:

Area = [tex]12a^3b^4[/tex]

So, the area of the right-angled triangle is represented as the monomial [tex]12a^3b^4[/tex].

To learn more on triangle area click:

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A rectangle is 3/5 red. The rest is blue and yellow, but not in equal ratios. What could those ratios be? PLEASE HELP

Answers

Blue can be 1/10 and yellow can be 3/10 or other way around.

A car and a truck leave the same intersection, the truck heading north at 60 mph and the car heading west at 55 mph. At what rate is the distance between the car and the truck changing when the car and the truck are 30 miles and 40 miles from the intersection, respectively?

Answers

Answer: -81

Step-by-step explanation:

Let x = the car moving towards west = 30

Let y = truck moving towards north = 40

dx/dt = -55

dy/dt = -60

We the use Pythagoras theorem to solve further where,

s² = x² + y²

s² = 30² + 40²

s² = 900 + 1600

s² = 2500

s =✓2500

s = 50

We then differentiate with respect to t, then we will have:

s² = x² + y²

2s ds/dt = 2x ds/dt + 2y dy/dt

50 ds/dt = (30 × -55) + (40 × -60)

50 ds/dt = -1650 - 2400

50 ds/dt = - 4050

ds/dt = -4050/50

ds/dt = -81

3.
1
y=x+3
1
slope: +: y-intercept: 3
4
B slope: 4; y-intercept: -3
1
slope: ; y-intercept: -3
D slope: 4; y-intercept: 3

PLEASE HELP ME

Answers

Answer:

A

Step-by-step explanation:

remember y=Mx+b where M is slope mad B is y intercept

Is m || n? Which theorem (which tool) did you use to decide?

Answers

Answer:

Yes. m is parallel to n. Since the 2 angles labelled are equal, by alternate angles rule, m is parallel to n.

Step-by-step explanation:

This is a question on angles. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:

yes

Step-by-step explanation:

Yes m is parallel to n because the alternate interior angles are equal .

write an equation of the line with a slope of -3/4 and y-intercept of -6

Answers

Answer:

y = -3/4x - 6

Step-by-step explanation:

Answer: y = (-3/4)x - 6

A birdbath is filled to the top. On Day 1, the volume of water in the bowl decreases by 7/8 cup. On Day 2, the volume in the bowl decreases by 3/4 cup. What number represents the total change in the volume of water in the bowl after two days? Write your answer as a mixed number.

Answers

Answer:

-1 5/8

Step-by-step explanation:

Let the total amount in the bowl be x;

If on Day 1, the volume of water in the bowl decreases by 7/8 cup, the remaining water will be;

x - 7/8

If on day 2, the volume in the bowl decreases by 3/4 cup, the remaining volume of water after the second day will be;

= x - 7/8 - 3/4

= x - (7-2(3))/8

= x - (7+6)/8

= x - 13/8

This shows that the total change after the two days is -13/8

As a mixed fraction;

-13/8 = -1 5/8

(1 pt)What is the vertex of the graph of
the function f(x) = x2 + 6x + 9?

Answers

Answer:

(-3,0)

Step-by-step explanation:

For a dosage of x cubic centimeters (cc) of a certain drug, the resulting blood pressure B is approximated by the function below. Find the maximum blood pressure and the disage at which it occurs.

B(x)= 395x^2- 2370x^3, 0 <= x <= 0.16

a. The maximum is obtained for a dosage of __________________.
b. The maximum blood pressure obtained is ______________.

Answers

Answer:

A) Maximum for dosage is 0.11

B) maximum blood pressure = 1.625

Step-by-step explanation:

We are given the function;

B(x) = 395x² - 2370x³

To find maximum, we will find the derivative of the function and equate to zero.

B'(x) = 790x - 7110x²

Equating to zero gives;

790x - 7110x² = 0

790x = 7110x²

Dividing both sides by x gives;

790 = 7110x

x = 790/7110

x = 0.11

This falls in between the range of 0 <= x <= 0.16 given to us.

Therefore x = 0.11 is a maximum

Plugging this into B(x) = 395x² - 2370x³ gives;

B(0.11) = 395(0.11)² - 2370(0.11)³

B(0.11) = 1.625

Thus;

Maximum dosage is 0.11

maximum blood pressure = 1.625

Mrs. Conley asks her class what kind of party they want to have to celebrate their excellent behavior. Out of all the students in the class, 5 want a ice cream party, 7 want a movie, 10 want a costume party, and the rest want are undecided. If 20% want a ice cream party, how many students are in class?

Answers

Answer:

25

Step-by-step explanation:

Is 16.4 greater than 16

Answers

Answer:

yea

Step-by-step explanation:

Yes.

16 could also be written as 16.0, or 16.00 or even 16.00000.

16.4 could also be written as 16.40, or 16.400.

And of course, you know 4 is greater than 0.

This is why 16.4 is greater.

When you add a decimal to a number, it always makes it larger. its like saying 16 and 4 tenths.

Sarah earns $9 an hour at a Mort’s Pizza Palace, working 20 hours per week. She spends $3 each week for snacks at work, but saves all her other earnings. How many hours must Sarah work to buy a new phone that costs $150?

Answers

Answer:

15h

Step-by-step explanation:

Answer:

17 hours

Step-by-step explanation:

she needs 150, she spends 3 and she makes 9 per hour

153/9 = 17

A taxi cab charges a flat fee of $1.75 plus $0.30 for each half-mile or fraction of a half-mile.

a) Fill in the chart.

b)write and equation for the function.

Answers

Answer:

a) there is no chart but we can elaborate one:

taxi fee            half-miles driven

$1.75                      0

$2.05                     1

$2.35                     2

$2.65                     3

$2.95                     4

$3.25                     5

$3.55                     6

b) y = 0.3x + 1.75

where:

y = taxi fee

x = half miles driven

A construction company is building a small deck for a customer and plans to use for the two boards that are 12 3/4 feet, four boards that are 13 5/8 feet, and two boards that are 10 1/2 feet. Find the total number of feet in all the boards

Answers

9514 1404 393

Answer:

  101 feet

Step-by-step explanation:

Multiply the number of boards by the length of the boards, and add the products.

  2(12 3/4) +4(13 5/8) +2(10 1/2) = 25 1/2 +54 1/2 +21 = 101

The total length of the boards is 101 feet.

If 5 workers complete one task in 7 days, then how many days will 7 workers take to complete the same task?

Answers

Answer: 5 days

Step-by-step explanation:

5*7=35 - means the total amount of the days to complete the job by 1 worker is 35 days

So 7 workers can do this job in

35:7=5 days

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