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GrogVix [38]
3 years ago
9

3 over 14 equals x over 42

Mathematics
1 answer:
Eva8 [605]3 years ago
4 0

Answer:

9

Step-by-step explanation:

   3

3    x

   =

14   42

   3

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Solve the following system of equations by substitution. Show all steps.
Alinara [238K]

Answer:

Given system of equations:

\begin{cases}f(x)=-x^2+2x+3\\g(x)=-2x+3\end{cases}

To solve by substitution, equate the equations and solve for x:

\begin{aligned}f(x) & = g(x)\\\implies -x^2+2x+3 & = -2x+3\\-x^2+4x & = 0\\x^2-4x & = 0\\x(x-4) & = 0\\\implies x & = 0\\\implies x-4 & = 0 \implies x=4\end{aligned}

Therefore, the x-values of the solution are x = 0 and x = 4.

To find the y-values of the solution, substitute the found values of x into the functions:

f(0)=-(0)^2+2(0)+3=3

g(0)=-2(0)+3=3

f(4)=-(4)^2+2(4)+3=-5

g(4)=-2(4)+3=-5

Therefore, the solutions to the given system of equations are:

(0, 3) and (4, -5)

4 0
2 years ago
Paula tiene una cartulina de 50x65 cm. Quiere hacer 5 rectángulos de 210x297 mm. ¿Tendrá suficiente con una cartulina?
brilliants [131]

Answer:

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3 0
3 years ago
There are about 1.5 grams of fat in 1 tablespoon of hummus. How many grams of fat are in 2 1/2 cups of hummus? ( Note: 16. Table
grin007 [14]
2 and 1/2=2.5cups
2.5 times 16=40tablespoons

1.5g=1tbs
1.5 times 40=60
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8 0
3 years ago
Read 2 more answers
Please help i need to write out my work to so please tell me how to show it
Anarel [89]
For the first one write 9 divided by 2 gives your your radius an it’s 3.5. the formula is 2 x 3.14 x radius and that gives you 21.98.

the 2nd one is 2 x 3.14 x 9 = 56.52

the 3rd is 2 x 3.14 x 5= 31.4

formula is always 2 x 3.14 (or pie) x radius

to get your radius from your diameter you do your diameter divided by 2
3 0
2 years ago
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Find the distance between M(-1,-10) and P(-12,-3) * Round to the nearest tenth.
DedPeter [7]

Answer:

13.0 units

Step-by-step explanation:

To find the distance between two points, we use the formula

d = sqrt( (y2-y1)^2+ (x2-x1)^2)

   sqrt((-3--10)^2 + (-12--1)^2)

   sqrt( (-3+10)^2 + (-12+1)^2)

   sqrt( (7^2  + (-11)^2)

  sqrt( 49+121)

  sqrt( 170)

13.038

Rounding to the nearest tenth

13.0

8 0
3 years ago
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