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FrozenT [24]
3 years ago
13

There are 180 calories in a 3/4-cup serving of cereal. How many calories are in 4 cups of cereals?

Mathematics
1 answer:
Komok [63]3 years ago
8 0

Answer:

720

Step-by-step explanation:

180 * 4 = 540

540 / 3/4 = 720

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brian and shawna are selling cookie dough. ryan sold 6 packod cookie dough and 12 packages of gingerbread cookies dough for a to
Bogdan [553]

Answer:

Chocolate chip dough = $12

Gingerbread cookie dough = $17

Step-by-step explanation:

Since there are two variables in this problem, setting up a system of equations and using the elimination method will help us find the cost for each package of cookie dough.  Based on Ryan's sales of 6 packages of chocolate chip and 12 packages of gingerbread for $276, the first equation is:

6c + 12g = 276

Since Shawna sold 8 chocolate chip and 3 gingerbread for a total of $147.00, the second equation is:

8c + 3g = 147

Using the elimination method, we will need to multiply the second equation by a factor of -4 in order to eliminate the variable 'g':

-4(8c + 3g = 147) = -32c - 12g = -588

Add the two equations:

6c + 12g = 276

+ <u> -32c - 12g = -588</u>

-26c = -312  or c = $12

Plug the value of 'c' into the first equation:

6(12) + 12g = 276 or 72 + 12g = 276 or g = $17

8 0
3 years ago
Given the vectors A⃗ and B⃗ shown in the figure ((Figure 1) ), determine the magnitude of B⃗ −A⃗. A is 28 degrees above the posi
Vlad [161]

This problem is represented in the Figure below. So, we can find the components of each vector as follows:


\bullet \ cos(28^{\circ})=\frac{Adjacent}{Hypotenuse}=\frac{A_{x}}{44} \\ \\ \therefore A_{x}=44cos(28^{\circ})=38.85m \\ \\ \\ \bullet \ sin(28^{\circ})=\frac{Opposite}{Hypotenuse}=\frac{A_{y}}{44} \\ \\ \therefore A_{y}=44sin(28^{\circ})=20.65m


\bullet \ cos(56^{\circ})=\frac{Adjacent}{Hypotenuse}=\frac{-B_{x}}{26.5} \\ \\ \therefore B_{x}=-26.5cos(56^{\circ})=-14.81m \\ \\ \\ \bullet \ sin(56^{\circ})=\frac{Opposite}{Hypotenuse}=\frac{B_{y}}{26.5} \\ \\ \therefore B_{y}=26.5sin(56^{\circ})=21.97m


Therefore:

\vec{A}=(38.85, 20.65)m \\ \\ \vec{B}=(-14.81, 21.97)m


So:

\vec{B}-\vec{A}=(-14.81, 21.97)-(38.85, 20.65)=(-53.66,1.32)


Finally, the magnitude is:


\boxed{\left| \vec{B}-\vec{A}\right|=\sqrt{(-53.66)^2+(1.32)^2}=53.67m}

7 0
3 years ago
Read 2 more answers
SEE QUESTION IN IMAGE
r-ruslan [8.4K]

d.30

Answer:

Solution given:

x. \:\:\: f. \:\:\: fx

13. \:\:\: 15. \:\:\: 195

14.\:\:\: 42 \:\:\: 588

15. \:\:\: x. \:\:\: 15x

16. \:\:\: 10. \:\:\: 160

17. \:\:\: 3. \:\:\: 51

. n=70+x. \sum=994+15x

we have

mean=sum/n

14.44=\bold{\frac{\sum}{n}}

14.44=\bold{\frac{994+15x}{70+x}}

doing crisscrossed multiplication

(70+x)*14.44=994+15x

1010.8+14.44x=994+15x

15x-14.44x=1010.8-994

0.56x=16.8

x=16.8/0.56

x=30

8 0
3 years ago
Read 2 more answers
The coffee shop owner explains that you are paid $18/hour and receive a $125 bonus each month for being manager. If the owner ha
inn [45]

Answer:

14

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Plz. Help Me!! ASAP!!!!!!
PtichkaEL [24]
-12.5%
2/1.5 =0.125 move the decimal and it become 12.5 but because it’s decreasing it is -12.5%
3 0
3 years ago
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