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muminat
2 years ago
13

Twenty-one crackers contain 147 Calories. Find the unit rate in Calories per cracker.

Mathematics
1 answer:
Leya [2.2K]2 years ago
6 0

Answer The unit rate in calories per cracker is 7.

(I'll add explanation if needed)

I hope this helped! :)

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5 1/6 + (7 1/3)l <60
agasfer [191]

Answer:

l

Step-by-step explanation:

Given the inequality

5\dfrac{1}{6}+7\dfrac{1}{3}l

First, convert mixed numbers to improper fractions:

5\dfrac{1}{6}=\dfrac{5\cdot 6+1}{6}=\dfrac{31}{6}\\ \\7\dfrac{1}{3}=\dfrac{7\cdot 3+1}{3}=\dfrac{22}{3}

Now the inequality looks like

\dfrac{31}{6}+\dfrac{22}{3}l

Multiply it by 6:

\dfrac{31}{6}\cdot 6+\dfrac{22}{3}l\cdot 6

7 0
3 years ago
Find the measure of TRS
nignag [31]

Answer:  The sum of the measures of the angle inside of a triangle add up to 180 degrees. That's all we're doing over here. And so let's see if we can simplify this a little bit. So these two guys-- 90 plus 90's going to be 180, so you get 180 minus theta …

Author: Sal Khan

Step-by-step explanation:

4 0
3 years ago
A projectile is shot into the air following the path,h(x) = - 5t2 + 20t + 3. At what time will it reach a maximum height? t = 1
kramer

Answer:

t = 2

Step-by-step explanation:

Notice that this expression for the projectile's path is that of a quadratic function with negative leading term. The graph of it therefore consists of a parabola with the branches pointing down (due to he negative leading coefficient). Therefore, the maximum of such parabola will reside at its vertex.

Recall that the formula for the position of the vertex in a general parabolic function of the form: y(x)=ax^2+bx+c, is given by the expression: x_{vertex}=-\frac{b}{2a}

In our case, the variable "x" is in fact "t", the leading coefficient (a) is -5, and the coefficient for the linear term (b) is 20.

Therefore, the maximum of the path will be when t=-\frac{20}{2(-5)} =\frac{20}{10} =2

7 0
3 years ago
Solve the system of equations by elimination.<br><br> 2x+8y=10<br><br> -4x-9y=-13<br><br> x = y =
Reptile [31]
So use cancelation
multiply first equation by 2
2x+8y=10
times 2
4x+16y=20
now add

4x+16y=20
<u>-4x-9y=-13   +
</u>0x+7y=7
7y=7
divide by 7
y=1

subsittue

2x+8y=10
2x+8(1)=10
2x+8=10
subtract 8 from both sides
2x=2
divide by 2
x=1


x=1
y=1
<u />
8 0
3 years ago
Beth said that g(x)=f(x)=x²-12 is a horizontal translation of f(x)=x² . Find and fix the errors and write the correct equation f
gtnhenbr [62]

Answer:

Step-by-step explanation:

it is a vertical translation.

for horizontal translation

f(x)=(x-12)²

8 0
2 years ago
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