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umka21 [38]
2 years ago
13

274 faculty surveyed regarding their plans for the weekend 126 plan to grade papers 132 plan to attend game 130 plan to do chore

s 29 plan to grade papers and attend game 67 plan to grade papers and chores 49 plan to atten game and chores 9 plan to grade papers, attend game, and chores
Mathematics
1 answer:
Nimfa-mama [501]2 years ago
3 0

Answer:

Step-by-step explanation:

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Lady bird [3.3K]

Answer:

27

Step-by-step explanation:

-5a-b

-5(-6)-3

30-3

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7 0
3 years ago
Read 2 more answers
In the figure, ray OB bisects ∠TOY.
Levart [38]

<u><em>Answer:</em></u>

∠BOY = 38°

<u><em>Explanation:</em></u>

<u>From the diagram, we can note that:</u>

m∠TOY = m∠TOB + m∠BOY ...................> equation I

We are given that ray OB bisects the angle

<u>Therefore:</u>

m∠TOB = m∠BOY

<u>Substitute in equation I:</u>

m∠TOY = m∠TOB + m∠TOB = 2m∠TOB ............> equation II

<u>We are given that:</u>

m∠TOY = 8x-36

m∠TOB = x+24

<u>Substitute with the givens in equation II and solve for x:</u>

m∠TOY = 2m∠TOB

8x - 36 = 2(x + 24)

2(4x-18) = 2(x+24)

4x - 18 = x + 24

3x = 42

x = 14

<u>This means that:</u>

m∠TOB = x + 24 = 14 + 24 = 38°

<u>Since </u>

m∠TOB = m∠BOY

<u>Therefore:</u>

m∠BOY = 38°

<u>Check:</u>

m∠TOY = 8x - 36 = 8(14) - 36 = 76° which is twice m∠TOB

Hope this helps :)

8 0
3 years ago
HELLLLP (will mark brainiest)
Zigmanuir [339]

Answer:

We put the value of the x in the formula

{4 \times }(6)^{2}  - 7 \times 6 + 12

f(6)=

4 \times 36 - 7 \times 6 + 12 = 144 - 42 + 12 = 102 + 12 = 114

Step-by-step explanation:

Than solve equation.

6 0
3 years ago
Read 2 more answers
HELP PLEASE THE QUESTION IS ON THE PICTURE!!
aev [14]
If he runs 30 minutes a day and does a lap in 5 minutes then divide 

6 0
3 years ago
Solve the equation<br> 3x-2<br> 4<br> -<br> 2x - 5- 1 + x<br> 3 6
Nataly_w [17]

Answer:

  • \boxed{\sf x=12}

Step-by-step explanation:

\sf \cfrac{3x-2}{4}-\cfrac{2x-5}{3}=\cfrac{1+x}{6}

First, let's find the LCM of 4, 3, and 6.

<u>How to find the LCM:</u>

→ List multiples of each number.

→ Find the smallest number on each list.

4: 4, 8, 12, 16, 20, 24..

3: 3, 6, 9, 12, 15, 18, 21, 24, 27....

6: 6, 12, 18, 24, 30, 36, 42...

<u>LCM: 12</u>

<u>_________</u>

Now, we'll Multiply by LCM:

\sf \cfrac{3x-2}{4}\times \:12-\cfrac{2x-5}{3}\times \:12=\cfrac{1+x}{6}\times \:12

Simplify:

\sf 3\left(3x-2\right)-4\left(2x-5\right)=2\left(x+1\right)

Now, expand, Apply the Distributive property:

\bold{ 3\left(3x-2\right)-4\left(2x-5\right)}

\sf  9x-6-8x+20

Combine like terms:

\sf x+14

________

\bold{ 2\left(x+1\right)}

\sf 2x+2

\sf x+14=2x+2

Subtract 14 from both sides:

\sf x+14-14=2x+2-14

Simplify:

\sf x=2x-12

Subtract 2x from both sides:

\sf x-2x=2x-12-2x

Simplify:

\sf -x=-12

Divide both sides by -1:

\sf \cfrac{-x}{-1}=\cfrac{-12}{-1}

\sf x=12

<h3><u>____________________________</u></h3>
7 0
2 years ago
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