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yaroslaw [1]
2 years ago
14

Solve the following proportion. х 42 35 10

Mathematics
1 answer:
anzhelika [568]2 years ago
6 0

Answer:

12

Step-by-step explanation:

The proportion is equal to \frac{x}{10}=\frac{42}{35}

We can simplify the right side by dividing by 7/7 to get the right side equal to 6/5. Now we can cross-multiply to get

60=5x

Dividing both sides by 5, we have the answer as

x=12

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What is the slope of y = - x + 7
svet-max [94.6K]

\green{\huge{\red{\boxed{\green{\mathfrak{QUESTION}}}}}}

What is the slope of y = - x + 7

\red{ \bold{ \textit{STANDARD \:  EQUATION}}}

y = mx + c

WHERE  \\ m = SLOPE  \\ c = Y -  INTERCEPT

\huge\green{\boxed{\huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}}}

\blue{A.T.Q}

y = mx + c   \sim  y = ( - 1)x + 7

\orange{SO}

m= (-1)

which is equal to the slope of the equation .

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3 0
2 years ago
Fram Algebraic expression for the following<br>a)Two times a number increase by three​
Effectus [21]

Answer:

2x + 3

Step-by-step explanation:

Let the number be x

2x + 3

Hope it helps :)

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3 0
2 years ago
Given: A, B, and C What is the value of X in the matrix equation AX + B = C?
Ksju [112]

Answer:

Option (2)

Step-by-step explanation:

Given expression is, AX + B = C

A=\begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}

B=\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix}

C=\begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}

AX + B = C

AX = C - B

C - B = \begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}-\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix} = \begin{bmatrix}-42+7 & -20+9\\ 5-4 & 4+1\end{bmatrix}

C - B = \begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}

Let  X=\begin{bmatrix}a & b\\ c & d\end{bmatrix}

AX = \begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}\times \begin{bmatrix}a & b\\ c & d\end{bmatrix}

     = \begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}

Since AX = C - B

\begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}=\begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}

Therefore, a = 1, b = 5

(-3a - 4c) = -35

3(1) + 4c = 35

3 + 4c = 35

4c = 32

c = 8

And (-3b - 4d) = -11

3(5) + 4d = 11

4d = -4

d = -1

Therefore, Option (2). X = \begin{bmatrix}1 & 5\\ 8 & -1\end{bmatrix} will be the answer.

7 0
3 years ago
Zoe's pizza cost $12.99. She gave a tip of $2.00. What percent did Zoe leave as a tip?
Andru [333]

Answer:

Zoe's will leave a 15% percent tip .

Step-by-step explanation: 2.00  


5 0
3 years ago
Read 2 more answers
If the coordinates of point E are (-4, y), what is the value of<br> у?
BlackZzzverrR [31]

Answer:

-8

Step-by-step explanation:

First we need to find the slope of CD.

We know C is (-10, -2)

and we know D is (10,6)

If we use the slope formula, we can see the slope is m=\frac{6-(-2)}{10-(-10)}

m = \frac{8}{20} \\m=\frac{2}{5}

We can see point F is at (6,-4)

We can find the equation of this line by using point slope form, and plugging in F as our point.

y-(-4)=\frac{2}{5}(x-6)\\y=\frac{2}{5}x-\frac{32}{5}

To find where E, we need to find the y value when x = -4

y=\frac{2}{5}(-4)-\frac{32}{5}\\y =-8

8 0
2 years ago
Read 2 more answers
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