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BartSMP [9]
3 years ago
12

2x+ 8y = -3 3x+ 6y = -4 Choose all answers that apply

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
4 0

multiply the top equation by 3, multiply the bottom equation by 4, then subtract the bottom equation from the top equation

multiply the top equation by 3, multiply the bottom equation by -2, then add the equations

You might be interested in
Write a number or expression in each blank space to create true equations.
Rina8888 [55]

Answer:

7(3+5)=7(3)+7(5)\\15-10=5(3-2)

Step-by-step explanation:

Both expressions are examples of the <em>distributive property</em>, which basically says "if I have <em>this </em>many groups of some size and <em>that</em> many groups of the same size, I've got <em>this </em>+ <em>that</em> groups of that size altogether."

To give an example, if I've got <em>3 groups of 5 </em>and <em>2 groups of 5</em>, I've got 3 + 2 = <em>5 groups of 5 </em>in total. I've attached a visual from Math with Bad Drawings to illustrate this idea.

Mathematically, we'd capture that last example with the equation

5(3)+5(2)=5(3+2). We can also read that in reverse: 3 + 2 groups of 5 is the same as adding together 3 groups of 5 and 2 groups of 5; both directions get us 8 groups of 5. We can use this fact to rewrite the first expression like this: 7(3+5)=7(3)+7(5).

This idea extends to subtraction too: If we have 3 groups of 4 and we take away 1 group of 4, we'd expect to be left with 3 - 1 = 2 groups of 4, or in symbols: 4(3)-4(1)=4(3-1)=4(2). When we start with two numbers like 15 and 10, our first question should be if we can split them up into groups of the same size. Obviously, you could make 15 groups of 1 and 10 groups of 1, but 15 is also the same as <em>3 groups of 5</em> and 10 is the same as <em>2 groups of 5</em>. Using the distributive property, we could write this as 15-10=3(5)-2(5)=5(3-2), so we can say that 15-10=5(3-2).

4 0
3 years ago
Please Help Me With This~JT
andriy [413]

Answer:

Top Row Going Left to Right: Circle, Triangle, Square, Pentagon, Hexagon, Octagon

Bottom Row Going Left to Right, Sphere, Cone, Cylinder, Pyramid, Cube, Triangular Pyramid.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What would the total be?
Lemur [1.5K]
Total of what? You can put the question in the comment section of this comment.
8 0
2 years ago
Please help me! 15 points
arsen [322]

Answer:

a. The length of FA is 1.

b. The length of the radius (AC) is 2.

c. The circumference of the circle A is 4π units.

d. The measure of the minor arc BC is 107°.

e. The length of the minor arc BC is (107/90) π.

f. The m<BFC and m<EFD is 125.5°.

g. The m<BFE is 180°.


Step-by-step explanation:

Radius: R=AB=2

FC=1

Arc CD = 180°

Minor arc BD = 73°

Minor arc EC = 36°


a. What is the length of FA?

FA=AC-FC

AC is a radius, then AC=AB→AC=2

Replacing in the known values in the equation above:

FA=2-1

FA=1


b. What is the length of the radius (AC)?

The radius AC must be equal to the radius AB, then:

AC=AB→AC=2


c. What is the circumference of the circle A?

Circunference of circle A: L=?

L=2 π R

L=2 π (2)

L=4π


d. What is the measure of the minor arc BC?

Minor arc BC = arc CD - Minor arc BD

Minor arc BC = 180°-73°

Minor arc BC = 107°


e. What is the length of the minor arc BC?

Length of minor arc BC: l=?

l=(Minor arc BC / 360°) L

l=(107°/360°) 4π

l=(4*107/360) π

l=(107/90) π


f.  What is the m<BFC and m<EFD

<BFC and <EFD are interior angles, then:

m<BFC = m<EFD = ( Minor arc BC + Minor arc DE) / 2

Minor arc DE = arc CD - Minor arc EC

Minor arc DE = 180°-36°

Minor arc DE = 144°

m<BFC = m<EFD = ( 107° + 144° ) / 2

m<BFC = m<EFD = ( 251° ) / 2

m<BFC = m<EFD = 125.5°


g. What is the m<BFE?

<BFE is a straight angle, then m<BFE=180°





8 0
3 years ago
33 managers and 27 non-managers attended a company meeting. What percentage of the people in the meeting were managers?
Arada [10]

Answer:

81.82%

Step-by-step explanation:

Step 1: We make the assumption that 33 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x.

Step 3: From step 1, it follows that $100\%=33$100%=33.

Step 4: In the same vein, $x\%=27$x%=27.

Step 5: This gives us a pair of simple equations:

$100\%=33(1)$100%=33(1).

$x\%=27(2)$x%=27(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{33}{27}$100%x%=3327

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{27}{33}$x%100%=2733

$\Rightarrow x=81.82\%$⇒x=81.82%

Therefore, $27$27 is $81.82\%$81.82% of $33$33.

3 0
2 years ago
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