3(x+1)-6=5x - 2(1+x)

Answer:

x=53

Step-by-step explanation:

Parallel lines cut by a transversal mean that the alternate interior angles are congruent. Meaning, 115=62+x

115-62 is 53

Answer:

a) x=56º

b= Angle x is on a line. All lines create linear angles, so together all angles that are on that side of the line = 180º. Since the two lines were parallel we know that the two angle measurements next to x are congruent. So 180=62+62+x.

Step-by-step explanation:

180-62-62=56

Answer:

The answer is definetly 245

Answer:

FOIL F-FIRST O-OUTSIDE I-INSIDE L-LAST

Step-by-step explanation:

[tex]2.6 = \times.2 \frac2.{68}{?} [/tex]

There are many ways to solve these types of questions. But I am going to use the fraction method.

Step 1: Set up a fraction.

Setting up a fraction, given the question will be the units on the same level. And the money earned will be a variable, "[tex]m[/tex]". It does not matter whether they are top or bottom.

[tex]\frac{8}{1} = \frac{m}{35}[/tex]

Step 2: Solve

[tex]\frac{8}{1} = \frac{m}{35}[/tex]

[tex]\frac{35m}{35}=8\cdot \:35[/tex]

[tex]m=280[/tex]

Therefore, Jake will earn $280.

Answer:

18 km/h

Step-by-step explanation:

1. Convert 175 metres into km

1000 m = 1 km (divide by 1000)

175 ÷ 1000 = 0.175 km

so 175 m = 0.175 km

2. Convert 35 seconds into hours

60 seconds = 1 min

60 mins = 1 hour

3600 (60 × 60) seconds = 1 hour (divide by 3600)

35 ÷ 3600 = 0.00972...

3. Calculate the speed

speed = distance ÷ time

= 0.175 ÷ 0.00972...

= 18 km/h

Answer:

25%

Step-by-step explanation:

because from 80 to 100 is 20 and 20 is 1/4 of 80 and 1/4 to a decimal is .25

Answer:

80/100. That's 20% increase. When you hadd 8 and 2 you get 10.

Step-by-step explanation:

Step-by-step explanation:

total angle, < BCD = 42°+41° = 83°.

Hope this helps you.

Answer:

BCD = 83

Step-by-step explanation:

We can use the angle sum addition

BCD = BCE + ECD

BCD = 42+41

BCD = 83

Answer: B

Step-by-step explanation: The tomato grows more over time so it will be a positive..

The height of a tomato plant throughout the year shows a positive linear correlation coefficient option (B) is correct.

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]

A. grade point average compared to the number of hours a student watches TV.

The grade points depend on the number of hours a student watches TV.

If watching time increases the grade point decreases.

B. the height of a tomato plant throughout the year

The height of a tomato and the number of years show a positive linear correlation.

C. a person's salary compared to the amount of education they have attempted:

The above situation represents an exponential regression.

D. SAT scores compared to hours spent studying

If the time spent in studying increases the SAT scores increases rapidly.

Thus, the height of a tomato plant throughout the year shows a positive linear correlation coefficient option (B) is correct.

Learn more about the correlation here:

brainly.com/question/11705632

#SPJ2

Answer:

The y-coordinates in quadrant IV are negative. Because y represents profit, negative values of y signify not making a profit. That is, negative values signify loss. The points in quadrant IV represent the baseball team losing money.

Step-by-step explanation:

I took the assignment :).

I belive its B i may be wrong, combine like terms is definitly first so A or B

Answer: 0.765

Step-by-step explanation:

“of” means “multiply”

5.1% can be written as 0.051

Multiply 15 by 0.051

0.765

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

The given equations are :

From the first equation, we get :

now, let's put the value of y as (5 - 2x) in second equation to find the value of x :

hence, value of x = 4, Plugging the value of x in second equation :

so, the required values are :

Answer:e=19

Step-by-step explanation:

3/5e-6 = -2/5e +20 -7 distributed multiplication into brackets

3/5e + 2/5e = 20-7+6 collected like terms

e=19

Answer:

answer below

Step-by-step explanation:

5x⁴: degree even (4),  leading coefficient +5, rise to left and rise to right

x -> -∞   y -> ∞

x -> ∞    y -> ∞

Answer:

Therefore, the answer to 421 divided by 27 calculated using Long Division is:

15

16 Remainder

Step-by-step explanation:

421 = dividend

27 = divisor

Step 1:

Start by setting it up with the divisor 27 on the left side and the dividend 421 on the right side like this:

 2 7 ⟌ 4 2 1

Step 2:

The divisor (27) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:

       0    

 2 7 ⟌ 4 2 1

Step 3:

Multiply the divisor by the result in the previous step (27 x 0 = 0) and write that answer below the dividend.

       0    

 2 7 ⟌ 4 2 1

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.

       0    

 2 7 ⟌ 4 2 1

     - 0    

       4    

Step 5:

Move down the 2nd digit of the dividend (2) like this:

       0    

 2 7 ⟌ 4 2 1

     - 0    

       4 2  

Step 6:

The divisor (27) goes into the bottom number (42), 1 time(s). Therefore, put 1 on top:

       0 1  

 2 7 ⟌ 4 2 1

     - 0    

       4 2  

Step 7:

Multiply the divisor by the result in the previous step (27 x 1 = 27) and write that answer at the bottom:

       0 1  

 2 7 ⟌ 4 2 1

     - 0    

       4 2  

       2 7  

Step 8:

Subtract the result in the previous step from the number written above it. (42 - 27 = 15) and write the answer at the bottom.

       0 1  

 2 7 ⟌ 4 2 1

     - 0    

       4 2  

     - 2 7  

       1 5  

Step 9:

Move down the last digit of the dividend (1) like this:

       0 1  

 2 7 ⟌ 4 2 1

     - 0    

       4 2  

     - 2 7  

       1 5 1

Step 10:

The divisor (27) goes into the bottom number (151), 5 time(s). Therefore put 5 on top:

       0 1 5

 2 7 ⟌ 4 2 1

     - 0    

       4 2  

     - 2 7  

       1 5 1

Step 11:

Multiply the divisor by the result in the previous step (27 x 5 = 135) and write the answer at the bottom:

       0 1 5

 2 7 ⟌ 4 2 1

     - 0    

       4 2  

     - 2 7  

       1 5 1

       1 3 5

Step 12:

Subtract the result in the previous step from the number written above it. (151 - 135 = 16) and write the answer at the bottom.

       0 1 5

 2 7 ⟌ 4 2 1

     - 0    

       4 2  

     - 2 7  

       1 5 1

     - 1 3 5

         1 6

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 421 divided by 27 calculated using Long Division is:

15

16 Remainder

More Information

If you enter 421 divided by 27 into a calculator, you will get:

15.5926

Answer:

p = -5

Step-by-step explanation:

6(6p + 5) = -150

/6                  /6

6p + 5 = -25

-5             -5

6p = -30

/6      /6

p = -5

Answer:

Step-by-step explanation:

[tex] - 2.5(4x - 4) = - 6 \\ - 2.5(4x) - 2.5( - 4) = - 6 \\ - 10x + 10 = - 6 \\ - 10x + 10 - 10 = - 6 - 10 \\ - 10x = - 16 \\ \frac{ - 10x}{ - 10} = \frac{ - 16}{ - 10} \\ x = 1.6 \\ [/tex]

Answer:

[tex]y=\frac{1}{2}x -3[/tex]

Step-by-step explanation:

The 'rise' is 1 and the 'run' is 2, so the slope is 1/2.

The graph is shifted down 3 (the y-int is (-3)

Answer:

x = 9

y = 6

Step-by-step explanation:

Let's set up equations:

x + y = 15

x - y = 3

Let's rearrange one of these equations to use the substitution method:

x - y = 3

Add y to each side:

x = y + 3

Substitute in for x:

x + y = 15

y + 3 + y = 15

Combine like terms:

( y + y ) + 3 = 15

2y + 3 = 15

Subtract 3 from each side:

2y = 12

Divide each side by 2:

y = 6

Substitute this in to find the other variable:

x + y = 15

x + 6 = 15

Subtract 6 from each side:

x = 9

Answer:

Step-by-step explanation:

The number is 1/2, and 1/2 squared is 1/4.

======================================================

Explanation:

We multiply the hourly wage by the number of hours worked to get the total amount earned.

(7.25)*(40) = 290

This is before taxes are applied. So we consider it the gross earnings (as opposed to the net earnings).

Answer:

S = 180C²

18,000 lbs

Step-by-step explanation:

Assuming the table attached with C in inches and S in pounds, we see that the first differences in S are ...

 180, 540, 900

These are not constant, so the relation is not linear.

Second differences are ...

 360, 360

These are constant, so the relation is quadratic. With a short trial, we find that a suitable equation is ...

 S = 180·C²

__

The safe load for C=10 is then ...

 S = 180·10² = 18,000 . . . pounds

better?

Step-by-step explanation:

the dimensions could be:

1) the height = 6 cm and the width = 9 cm

or

2) the height = 12 ft and the width = 18 ft

#1

[tex]\\ \sf{:}\dashrightarrow \dfrac{3}{4.5}=\dfrac{3(2)}{4.5(2)}=\dfrac{6}{9}[/tex]

#2

[tex]\\ \sf{:}\dashrightarrow 1(\dfrac{3}{4.5})=\dfrac{3}{4.5}[/tex]

Answer:

.00000000025 = 2.5 * 10^-10

Looks like the last one

Can also write

2.5E-10

Answer:

340 inches

Step-by-step explanation:

25 yds = 900 in

60 + 80 + 60 + 80 = 280

280 x 2 = 560

900 - 560 = 340

Hello BinibiningDel!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex] \tt \: 1) \: \: \: {x}^{2} - 49 \\ \tt \: = (x) ^{2} - ( 7) ^{2} \\ = \boxed{ \bf \: (x + 7)(x - 7) }[/tex]

Method used :-

__________________

[tex] \tt 2) \: \: \: {a}^{2} + 10a+ 25 \\ = \boxed{\bf(a + 5)^{2} }[/tex]

Method used :-

__________________

[tex] \tt \:3) \: \: \: {x}^{2} + x - 30 \\ = \tt ({x}^{2} - 5x) + (6x - 30) \\ = \tt \: x(x - 5) + 6(x - 5) \\ = \boxed{ \bf(x + 6)(x - 5)}[/tex]

Method used :-

__________________

[tex] \tt \: 4) \: \: \: {4x}^{2} - {y}^{2} \\ = \tt \: (2x) ^{2} - (y) ^{2} \\ = \boxed{ \bf(2x - y)(2x + y)}[/tex]

Method used :-

__________________

[tex] \tt \: 5) \: \: \: 8 {m}^{2} n ^{3} - 6mn ^{2} \\ = \tt \: 2\left(4m^{2}n^{3}-3mn\right) \\ = \boxed{ \bf \: 2mn\left(4mn^{2}-3\right) }[/tex]

Method used :-

__________________

[tex] \tt \: 6) \: \: \: \tt \: 2 d ^ { 2 } + 5 d - 12 \\ = \tt \: \left(2d^{2}-3d\right)+\left(8d-12\right) \\ \tt \: = d\left(2d-3\right)+4\left(2d-3\right) \\ = \boxed{ \bf \: \left(2d-3\right)\left(d+4\right) }[/tex]

Method used :-

__________________

[tex] \tt \:7) \: \: \: y ^ { 3 } + 27 \\ = \tt (y) ^{3} + ( {3})^{3} \\ = \boxed{ \bf\left(y+3\right)\left(y^{2}-3y+9\right) }[/tex]

Method used :-

__________________

[tex] \tt \: 8) \: \: \: 20 b ^ { 3 } c ^ { 5 } + 35 b ^ { 4 } c ^ { 2 } \\ = \tt \: 5\left(4b^{3}c^{5}+7b^{4}c^{2}\right) \\ = \boxed{ \bf \: 5b^{3}c^{2}\left(4c^{3}+7b\right) }[/tex]

Method used :-

__________________

Hope it'll help you!

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