Which of the following values of t will result in a true statement when substituted into the given equation?

1/2 t-4(2+t)=20


A. t = 8
B. t = -8
C. t = 11
D. t = -12

Answer:  B

Step-by-step explanation:

It is.

The value of the tangent of angle α will be 35/12. Then the correct option is B.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The triangle ΔABC is given below.

Then the value of tan α will be

tan α = 35 / 12

Then the correct option is B.

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Answer:

hope it helps forget about my writing

Answer:

(-1.43, -5.57)

Step-by-step explanation:

Elimination:

First we need to line up x or y to be the opposite so they can be eliminated:

4x - 3y = 11

-2( 2x - 5y = 25) which is

-4x + 10y = -50

Next step we cancel out the x but adding both equations which would isolate the y:

7y = -39

y = -5.57

After finding y, plug it back into the equation to find x:

4x - 3(-5.57) = 11

4x + 16.71 = 11

4x = -5.71

x = -1.43

To ensure it is correct, we can plug it back into both equations:

4(-1.43) - 3(-5.57) = 11

2(-1.43) - 5(-5.57) = 25

Answer:

b c a

Step-by-step explanation:

b c a;b c a; b c a; b c a; b c a

Answer:

Step-by-step explanation:

THe first one is infinitely many solutions , you see y-2x=7 is the same as y=2x+7 which means they will intersect on every point

y-2x=7, simply add 2x to both sides

y=2x+7

The second one has no solution, if you solve for y on each side, you will find that the lines are parallel (slope is the same) and will never intersect.

THe third one has one solution

Answer:

pov: im getting free points

Step-by-step explanation:

Sure! I'll try!

2x + 29 +11 = x + 28

First, you would put like terms ( the x ) on the same side.

2x + 29 + 11 = x + 28

-2x                 -2x

Giving you: 29 + 11 = -3x + 28

Then, you would add 29 and 11 together to get 40.

Next, you'd put the 28 on the other side.

40 = -3x + 28

-28           - 28

Giving you: 12 = -3x

Step-by-step explanation:

We know that opposite sides of parallelogram are equal so

t + 10 = 3t

3t-t = 10

2t = 10

t = 10/ 2

t = 5

Therefore the value of the should be 5 so that it makes a parallelogram.

Hope it will help :)

Distribution table :

X : ___ 1 _____ 2 _____ 3 ______ 4

P(x) __0.50 __0.25 __ 0.15 ____ 0.10

Answer:

1.85 ; 1.014 ;` 0.55 ; 3.042

Step-by-step explanation:

Probability distribution :

X : ___ 1 _____ 2 _____ 3 ______ 4

P(x) __0.50 __0.25 __ 0.15 ____ 0.10

The mean: E(x) = Σ(X * p(x))

(1*0.5) + (2*0.25) + (3*0.15) + (4 *0.10)

= 1.85

Standard deviation = sqrt(Var(x))

Var(x) = Σ(x²*p(x)) - E(x)²

Var(x) = ((1^2*0.5) + (2^2*0.25) + (3^2*0.15) + (4^2 *0.10)) - 1.85^2

= 4.45 - 3.4225

= 1.0275

Standard deviation = sqrt(1.0275)

Standard deviation = 1.0136567

Standard deviation(X) = 1.014

3.)

Cost of spin = $5

Amount, y to be received = 3 times the number that appears

y = 3x - cost of playing

y = 3x - 5

E(y) = E(3x - 5)

E(y) = E(3x) - 5

Recall :E(x) = 1.85

E(y) = 3(1.85) - 5

E(y) = 0.55

Standard deviation :Sd(y) =

Sd(3x - 5)

3(1.014)

= 3.042

Answer:

12

Step-by-step explanation:

you divide 24 by 2 because it is multiplication, and the opposite is division.

290.4 I'm guessing cuz bbn it closest to what I got

Answer:

The answer to the question provided is y = -3x + 9.

Hey there!

DISTRIBUTE

3(–2x – 3) + 4x – 3 = 8

3(–2x) + 3(–3) + 4x – 3 = 8

COMBINE LIKE TERMS

–6x – 9 + 4x – 3 = 8

–2x – 12 = 8

ADD by 12 on BOTH SIDES

–2x – 12 + 12 = 8 + 12

CANCEL out: –12 + 12 because that gives 0

KEEP: 8 + 12 because it helps us solve for x

“8+ 12 = 20”

–2x = 20

DIVIDE by –2 on BOTH SIDES

–2x/–2 = 20/–2

CANCEL out: –2/–2 because that gives 1

KEEP: 20/–2 because that gives you x

“x = 20/–2”

Answer: x = –10 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

[tex]\displaystyle 77[/tex]

Step-by-step explanation:

Isosceles triangles will always tell you what you need to know. All angles are congruent, therefore all edges are congruent. ‍♂️

I am joyous to assist you at any time.

Answer:

Step-by-step explanation:

The first one is 20%

The second one is 95%

(Can you take another picture so I can see the rest)

Answer: approx. 4077.7

Step-by-step explanation:

Use this formula: T=a*(1+m%)^n (T: result; a: initial money; m:interest; n:months)

Answer:

y=10.2x

Step-by-step explanation:

x represents hikers

y represents total pounds

Answer: I say B its a bit hard but i think i got it not  sure but Good Luck!

Step-by-step explanation:

Answer:

6.25

Step-by-step explanation:

When dilating a shape, you need to take the side length and multiply it by the scale factor.

Answer:

$3562.50

Step-by-step explanation:

If the cost ratio is ...

 labor : parts = 3/5 : 1 = 3 : 5

then the ratio of labor to the whole cost is ...

 labor : total = 3 : (3+5) = 3 : 8

The amount saved by not paying for labor is ...

 (3/8) × $9500 = $3562.50 . . . labor charge

Answer:

Quantitative forecasting relies on data that can be measured and manipulated. The data is usually from the past. This type of analysis is best for short-term forecasting as making assumptions about the future based on past performance is much more likely to be accurate in the near future.

Step-by-step explanation:

Answer:a

Step-by-step explanation:

The solutions to the given equation will be two distinct rational solutions, i.e. option A.

Expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

We have,

[tex]2x ^2 -5=3x[/tex]

Now,

Rearrange the equation,

[tex]2x ^2 -3x-5=0[/tex]

Now,

Using the mid term splitting method,

[tex]2x ^2 -3x-5=0[/tex]

i.e.

[tex]2x ^2 -5x+2x-5=0[/tex]

Now,

Taking common,

[tex]2x ^2 +2x-5x-5=0[/tex]

i.e.

[tex]2x (x +1)-5(x+1)=0[/tex]

We get,

[tex](x +1)(2x -5)=0[/tex]

Now,

(x +1) = 0

⇒ x = -1

Now,

(2x -5 )= 0

⇒ [tex]x =\frac{5}{2} =2.5[/tex]

So, the solutions of the given equation are -1 and 2.5.

Hence, we can say that the solutions to the given equation will be two distinct rational solutions, i.e. option A.

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Answer:

99

Step-by-step explanation:

2+5, ∈ℤ

=2+7+12+⋯+97

This is AP with =2,=5,

th term is given by =+(−1)

97=2+(−1)5⟹=20

So sum of such integers,

20=202(2+97)=990

The sum of whole number that are less than 100 and leave reminder 2 when divided by 5​ is 990.

A series in which the differences between each pair of following terms are the same is known as an arithmetic progression.

An arithmetic progression is a sequence in which every phrase—aside from the initial term—is created by multiplying the previous term by a predetermined amount.

Given:

We have to find the sum of number that are less than 100 and leave reminder 2 when divided by 5​

So, we get the sequence

2, 7, 12, ................97

=2+7+12+⋯+97

This is AP with =2,=5,

So, l= a+( n-1)

97= 2+ (n-1)(5)

95 = 5(n-1)

n-1 = 95/5

n-1 = 19

n= 19 + 1

n=20

Now, the sum is

[tex]S_{20}[/tex] = 20/2( 2 x 2+ (20 - 1 )(5))

     = 10( 4 + 19(5)

     = 10 (99)

     = 990

Hence, the sum is 990.

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Answer:

411.1111111

Step-by-step explanation:

18% of x = 74

Convert 18% into a decimal.

0.18 • x = 74

Isolate x by dividing by 0.18.

x = 411.1111111

Check answer.

0.18 • 411.1111111 = 74

74 = 74

Step-by-step explanation:

7/9pls mark as brainliest

Answer:

Step-by-step explanation:

It's 3 31/45

Answer:

x < - 2

Step-by-step explanation:

I hope this helps.

Answer:

x < -2

Step-by-step explanation:

1) 12x+8< -16 Rearrange the expression

2) 12x < -16+8 Separate the constants and variables

3) 12x< -24 Add the the number

4) 12x/12 < -24/12 Divide both sides by 12

5) x< -2 Answer

Hope that helps.

Answer:

the second one I'm pretty sure

Step-by-step explanation:

Answer:

its definitely B

Step-by-step explanation: