Hannah is making cakes for the bake sale at her school. Each cake requires 1 1/2 cups of sugar. How many complete cakes can Hanna make if she has 6 3/4 cups of sugar?

Help please ? :)​

Answer:

3/7 : 1 OR 1 : 7/3

Step-by-step explanation:

You can set up ratios as a fraction and solve for the missing piece. See images.

Answer:

1 : 2.33 aka 1: 2 1/3

Step-by-step explanation:

1) 6 : 14

2) divide both sides by 6

6/6=1

14/6=2 1/3

3) 1 : 2 1/3

Answer:

C. The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 5.

Step-by-step explanation:

Answer:

10π

Step-by-step explanation:

First, remember the formula for the circumference of a circle is C= 2πr. Then remember that the diameter is twice the radius.

So here, when we have a diameter of 10ft, and we see the formula for circumference is C= 2πr, and because a Diameter is equal to 2 radii, I can also say C= Dπ. So in your case C= 10ft×π = 10ftπ

Answer:

y= -5x +5

Step-by-step explanation:

Given :-

To Find :-

Answer :-

Here we are given that,

[tex]\red{\longrightarrow}[/tex] x² + y² = 8 .

And ,

[tex]\red{\longrightarrow}[/tex] xy = 4

[tex]\red{\longrightarrow}[/tex] y = 4/x

So that ,

[tex]\red{\longrightarrow}[/tex] x² + (4/x)² = 8

[tex]\red{\longrightarrow}[/tex] x² +16/x² = 8

[tex]\red{\longrightarrow}[/tex] x⁴ + 16 = 8x²

[tex]\red{\longrightarrow}[/tex] x⁴ - 8x² + 16 = 0

Assume k² = x⁴ and k = x²

[tex]\red{\longrightarrow}[/tex] k² - 8k + 16 = 0

[tex]\red{\longrightarrow}[/tex] k² -4k -4k +16 = 0

[tex]\red{\longrightarrow}[/tex] k(k-4) -4(k-4) = 0

[tex]\red{\longrightarrow}[/tex] (k-4)² = 0

[tex]\red{\longrightarrow}[/tex] k = 4

So ,

[tex]\red{\longrightarrow}[/tex] k = x²

[tex]\red{\longrightarrow}[/tex] 4 = x²

[tex]\red{\longrightarrow}[/tex] x = √4

[tex]\red{\longrightarrow}[/tex] x = ±2

Hence the required answer is ±2.

The values of x and y of the given function are; x = y = ±2

We are given;

x² + y² = 8   -----(1)

Product of x and y = 4;

Thus; xy = 4

Now, making y the subject we have;

y = 4/x

Putting 4/x for y in eq 1 gives us;

x² + (4/x)² = 8  

x² + (16/x²) = 8

Multiply through by by x² to get;

x⁴ + 16 = 8x²

⇒ x⁴ - 8x² + 16 = 0

using online polynomial root calculator, we have x = ±2

Thus, y will also be ±2

Complete question is;

If x² + y² = 8 and the product of x and y is 4, what are x and y?

Read more about roots of a polynomial at; https://brainly.com/question/10702726

Answer:

19

Step-by-step explanation:

Answer:

The correct answer is yes.

Step-by-step explanation:

I can help you. What do you need? :)

Answer:

1.5

Step-by-step explanation:

6/4

Answer:

1500 meters / second

Step-by-step explanation:

Speed = the magnitude of distance / time

Distance = 2,100 meters

Time = 1.4 seconds

Speed = 2,100 meters / 1.4 seconds = 1500 meters / second

Answer:

y = 1.50x+4

if x = 2

y = 7

if x = 3

y = 8.5

if x = 5

y = 11.5

Step-by-step explanation:

every mile(x) add 1.50 dollars to 4 dollars

Answer:

SAS,

Step-by-step explanation:

2 sides and the included angle.

Answer:

8 years

Step-by-step explanation:

Currently

Abebe → 12 years old

Aster → 2 years

With every passing year, each of them will be 1 year older hence the difference between their ages will remain constant.

Difference in ages

= 12 -2

= 10

Let the age of Aster be x years old when Abebe is twice her age.

Abebe → 2x years old

Aster → x years old

Difference in age

= 2x -x

= x

x= 10

Aster is 10 years old when Abebe is twice her age.

Number of years passed

= 10 -2

= 8

Thus, Abebe will be twice as old as her sister in 8 years.

Since you go to school for 5 days a week, the answer is going to be 550.25 for 15.5 weeks.

Hope that helped?

Answer:

15.5 weeks of school lunch would cost $550.25

Step-by-step explanation:

The unit rate is already given here, so all you need to do here is multiply the cost per week by the number of weeks. You can even think of it as canceling out the weeks:

[tex]\frac{cost}{week}\times week=cost[/tex]

[tex]35.50\times15.5=550.25[/tex]

15.5 weeks of school lunch would cost $550.25

You could also write this as a linear equation with a slope of 35.5 and a y-intercept of 0:

[tex]y=35.50x[/tex]

Answer:

GCF 4, LCM 80

Step-by-step explanation:

Since both 16 and 20 have two 2s as factor, their greatest common factor is 4.

The LCM is found by multiplying all of the remaining factors by the LCM:

16 still has (2 x 2), 20 still has (5), times the GCF (4)  so 2 x 2 x 5 x 4 = 80.

Answer:

64 i hope im right

Step-by-step explanation:

Answer: 4 in.

Step-by-step explanation:

A square has 4 equal sides for its perimeter.

Perimeter = 4x

16 = 4x

x = 4 in.

Answer:

No the lines are perpendicular.

Step-by-step explanation:

The lines are perpendicular because x and y meet up and make a perpendicular line. If you don't believe me plug it in a graphing calculator.

Answer:6 six graders were late. 10% would be 12, and half of that is 6. You need to divide that in half because 5 is half of 10.

Answer:

6 sixth graders at school where late

Step-by-step explanation:

5% = 0.05

0.05(120) = 6

Answer:

[tex]\huge\boxed{\sf y = 100.4}[/tex]

Step-by-step explanation:

Given equation is:

53 = y - 47.4

Add 47.4 to both sides

53 + 47.4 = y

100.4 = y

OR

y = 100.4

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Hello there!

[tex]\sf \longmapsto53=y - 47.4[/tex]

This is a equation. We need to find the value of variable y.

[tex]\sf \longmapsto53=y- 47.4[/tex]

To Solve further,we need to overturn the equation.

That is :-

[tex]\sf \longmapsto \: y - 47.4 = 53[/tex]

Then, Add +47.4 to two sides:-

[tex]\sf \longmapsto \: y - 47.4 + 47.4 = 53 + 47.4[/tex]

On Simplification:-

Note that (-) and (+) equals to (-). So it would be 47.4 - 47.4 . Which results to 0.

[tex]\sf \longmapsto \: y - 0 = 100.4[/tex]

[tex]\sf \longmapsto \: y = 100.4( Ans.)[/tex]

Answer as a mixed fraction:-

[tex]\sf \longmapsto 100\dfrac{2}{5}[/tex]

Answer as a fraction:-

[tex]\sf\longmapsto 502/5[/tex]

______________________________________

Henceforth, the value of y is :-

[tex]\bf \: y = 100.4[/tex]

Or as a mixed fraction:-

[tex]\bf y = 100\dfrac{2}{5}[/tex]

Or as a fraction:-

[tex]\bf y = 502/5[/tex]

________________________________

I hope this helps!

Please let me know if you have any questions.

Step-by-step explanation:

if I understand you correctly, then

cos(theta) = -0.7

then Theta = 134.427004...°

and that is rounded 134.43°

Answer:

D

Step-by-step explanation:

Answer:

7/21 or 1/3

Step-by-step explanation:

Adding all the animals together, we get 21. Then we add just the cows and the goats and get 7. Then we do 7/21 = 1/3 simplified

1. A

2. D

3. D

4. C

(IF YOU NEED A EXPLANATION, JUST ASK!)

Answer:

F

Step-by-step explanation:

Domain is all x values that the graph passes through. Therefore, it starts at x=0 and ends at x=230 with no breaks so the domain is anywhere between 0 and 230.

Answer:

-8x + 12

Step-by-step explanation:

-4(2x - 3)

then -4*2x and -4*-3(an even number of negative signs multiplied equals to a positive sign)

therefore= -8x + 12

Answer:

#1.---60%   #2.---$12.60 per hour

Step-by-step explanation:

#1. Since It was originally $50 you have 50% already, so what I did was I multiplied 50 by 2. this got me 100 which is a simpler way to calculate by. 50 to 80 dollars is a $30 change, so multiply that by 2 and you get 60. 60 will be your percent of change. You can double check this by multiplying 50 by .60, the answer will be 30 and 50+30=80

#2 Since Tyler starts off with $12 per hour with a 5% increase you will need to multiply 12*.05 this will get you the answer of 0.6 you then need to add $12, since that was his original payment. 12+0.6=12.60, so his final payment would by $12.60 per hour

Answer:

y = 6x+8

Step-by-step explanation:

y = mx+b

y = 6x + b

2 = 6(-1)+b

2 = -6+b

8 = b

y = 6x+8

Answer: (-1, 7) should be the answer

Step-by-step explanation:

why did you copy my profile picture hello......

Answer:

[tex]27436\pi[/tex] square inches

Step-by-step explanation:

Since we are covering the surface of the ball, we need to determine the ball's surface area.

Assuming the ball to be a sphere, its surface area would be [tex]A=4\pi r^2[/tex] where [tex]r[/tex] is the radius.

Since the diameter is twice the radius, then the radius of the ball is 19 inches.

Therefore, the surface area of the ball is [tex]A=4\pi (19)^3=4\pi(6859)=27436\pi[/tex] square inches.

Answer:66 slower speed

Step-by-step explanation: