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Answer:

The value of x is -29.

Step-by-step explanation:

We are given an algebraic equation and have one goal: solve for x. We can use simplifying techniques as well as addition and subtraction to solve this equation.

[tex]\text{7x - 5 = 8(x + 3) \ \ \ Distribute the 8 throughout the parentheses.}\\\text{7x - 5 = 8x + 24 \ \ \ \ Subtract 7x from both sides.}\\\text{-5 = x + 24 \ \ \ \ \ \ \ \ \ \ Flip the equation.}\\\text{x + 24 = -5 \ \ \ \ \ \ \ \ \ \ Subtract 24 from both sides.}\\\small\boxed{\bold{{x = -29}}}[/tex]

Now that we have solved for x, we can plug in -29 to see if we get a true statement.

[tex]\text{7(-29) - 5 = 8(-29 + 3)}\\\text{-203 - 5 = -232 + 24}\\\text{-208 = -208} \ \checkmark[/tex]

Because we ended up with a true statement, we have determined that the value of x is -29.

Answer:

[tex]7x - 5 = 8(x + 3) \\ 7x - 5 = 8x + 24 \\ 8x - 7x = - 24 - 5 \\ \boxed{x = - 29}[/tex]

Answer:

-6/5

Step-by-step explanation:

Answer:

Liz did

Step-by-step explanation:

because if you multiply 47 to 2, then you get 94 and that's higher than 92, not sure but i hope this works

Answer:

a

Step-by-step explanation:

Answer:

C. The graph does not show a proportional relationship because each point written as a ratio gives a different value.

Step-by-step explanation:

The equation of a line in slope-intercept form is

y = mx + b

Where m is the slope and b is the y-intercept.

Not all lines represent proportional relationships. The condition for a line to be a proportional function is that b=0, i.e., the y-intercept is the origin.

The graph shown in the figure has a y-intercept of 2, thus the line is not a proportional relationship.

If the equation of the line is proportional (b=0), then:

y = mx

Or:

y/x = m

The ratio between each value of y and x must be constant.

This is not the case, because

3/2, 4/4, 6/5 result in different values and 2/0 doesn't even exist. Thus the correct answer is:

C. The graph does not show a proportional relationship because each point written as a ratio gives a different value.

Answer:

$986.50

Step-by-step explanation:

$750 x 0.07 = $52.50

$52.50 x 4.5 = $236.25

$236.25 + $750 = $986.25

Answer:

$986.25

Step-by-step explanation:

(750 *0.07)*4.5 =

52.59 * 4.5 = 236.25

750 + 236.25 = 986.25

Answer:

5.25

Step-by-step explanation:

Given that,

On Wednesday, a farmer picked 1 16/31 baskets of peppers. On Thursday, the farmer picked 2 10/21 baskets. On Friday, the farmer picked 1 5/19 baskets.

To find,

How many baskets of peppers did the farmer pick.

Solution,

It can be calculated by adding all the baskets of peppers on Wednesday, Thursday and Friday as follows :

[tex]P=1\dfrac{16}{31}+2\dfrac{10}{21}+1\dfrac{5}{19}\\\\=\dfrac{47}{31}+\dfrac{52}{21}+\dfrac{24}{19}\\\\=5.25[/tex]

So, he will pick 5.25 baskets of peppers.

Answer:

2 miles

Step-by-step explanation:

it depends on how many hours per hour but 2 miles would be the average answer.

hope this helps. have a good day. :)

Answer:

7y+5z+10

Step-by-step explanation:

7y+5z+10

Answer:

B.

Step-by-step explanation:

2y + 4y + y = 7y

7z + (-2z) = 5z

8 + 2 = 10

Answer:

Retail price = $75

Step-by-step explanation:

1. State the given

The price of the vacuum cleaner's wholesale; $50.

The rate of mark up that the vacuum cleaner is sold at; 50%.

This means that the vacuum cleaner's sales price is 1.5 times the price of its wholesale.

2. Form am equation and solve

Use the equation:

wholesale_price * markup = retail_price

Now use the given information

50 * 1.5 = retail price

Solve

50 * 1.5 = 75

retail price = $75

Answer:

22

Step-by-step explanation:

you have to add the students She greeted together and then take it away from the students she said goodbye to

Answer:

3:1

Step-by-step explanation:

divide the cookies by the number of spoons

24 cookies per 8 spoons = 3 cookies per 1 spoon

45 cookies per 15 spoons = 3 cookies per 1 spoon

Answer:

(11, 13)

Step-by-step explanation:

Carolyn's work is incorrect. Below is the correct solution:

Given:

[tex] 3x - 2y = 7 [/tex] ----› Equation 1

[tex] y = x + 2 [/tex] -----› Equation 2

Substitute y = (x + 2) in equation 1

[tex] 3x - 2y = 7 [/tex] ----› Equation 1

[tex] 3x - 2(x + 2) = 7 [/tex] (substitution)

[tex] 3x - 2(x) -2(+2) = 7 [/tex] (distributive property)

[Note: this is where Carolyn made a mistake]

[tex] 3x - 2x - 4 = 7 [/tex]

Collect like terms

[tex] x - 4 = 7 [/tex]

[tex] x = 7 + 4 [/tex] (addition property of equality).

[tex] x = 11 [/tex]

Substitute x = 11 in equation 2

[tex] y = x + 2 [/tex] -----› Equation 2

[tex] y = 11 + 2 [/tex] (substitution)

[tex] y = 13 [/tex]

✅The solution to the system of equations would be:

(11, 13)

12 square centimeters

Step-by-step explanation:

You just multiply the length x the width which is just 3 x 4

Answer:

c

Step-by-step explanation:

,

Answer:

The Answer is C

Step-by-step explanation:

Step-by-step explanation:

Let the equation of the line be y = mx + c

since the line is parallel to y = -1/2x + 1, the two lines have the same gradient.

therefore, m = -1/2

sub (-4, -1):

-1 = -1/2(-4) + c

c = -3

therefore equation of the line is y = -1/2x - 3

This question demands knowledge on coordinate geometry's slope intercept form and finding unknowns. If you would like to venture further, you can check out my Instagram page (learntionary). Thanks!

Answer:

Step-by-step explanation:

Answer:

14, 8

Step-by-step explanation:

Using the formulas

A= Length * Width (lw)

P=2(l+w)

l+w)

There are 2 solutions forl

l=P

4+1

4P2﹣16A=44

4+1

4·442﹣16·112=14in

l=P

4﹣1

4P2﹣16A=44

4﹣1

4·442﹣16·112=8in

Answer:

the common factor of 54 and 66 is 6

Step-by-step explanation:

Answer:

I think it would be 6.

Step-by-step explanation:

I googled it.

Answer:

D.

Step-by-step explanation:

Recall that the limit definition of a derivative at a point is:

[tex]\displaystyle{\frac{d}{dx}[f(a)]= f'(a) = \lim_{x \to a}\frac{f(x)-f(a)}{x-a}}[/tex]

Hence, if we let f be ln(x + 1) and a be 1, this yields:

[tex]\displaystyle f'(1)= \lim_{x \to 1}\frac{\ln(x+1)-\ln(2)}{x-1}}[/tex]

Hence, the limit is equivalent to the derivative of f at x = 1 or f’(1).

In conclusion, our answer is D.

Answer:

Step-by-step explanation:

We can see the sketch of the diagram in the image attached below.

Since 1 yard =3 feet

110 yards = 330 feet

Using: Distance = speed * time

If the speed of Lee is 11 ft/sec, he will travel the distance = 11 ft/sec * 24 sec = 264 ft in 24 sec.  

The distance traveled = 264 ft

After traveling 264 ft, he takes a turn radially towards the center, then again takes a turn as he reaches the center.

b)

Total Distance traveled = A + B + C

A = C = 330 ( radius of the circle)

= 330 + 110 + 330

= 770 ft

c) Using the expression:

Speed = Distance/time

time = Distance/Speed

time = 770/11

time =  70 sec

d)

Area = 1/2 r²θ

Area = 1/2 r² (l/r)

Area = 1/2 × r × l

Area = 1/2 × 330 × 110

Area = 18150 ft²

Answer:

C: Charles

Step-by-step explanation:

165 miles divided by 6 hours

165/2.5

66 miles in one hour

Answer:

c

Step-by-step explanation:

Answer:

The Answer is C.

Step-by-step explanation:

Edge 2021

Answer:

lola has 12 dollars

Step-by-step explanation:

Answer:

The amount that Lola has is $12

Step-by-step explanation:

Answer: a. Hypothesis test is two tailed as [tex]H_a[/tex] is two tailed.

b.  p-value =p-value

c.  We failed to reject [tex]H_0[/tex].

Step-by-step explanation:

Given : Test statistic : z = 2.27

Claim: p ≠ 0.826 i.e. Alternative hypothesis : [tex]H_a:p\neq0.826[/tex] [ alternative hypothesis takes ≠]

a. Hypothesis test is two tailed as [tex]H_a[/tex] is two tailed.

b. The two-tailed p-value for z=2.27 is 0.0232. [By p-value table]

c. Using a significance level of α=0.01,

p value > α

so we failed to reject [tex]H_0[/tex]. [When p-value >  α we cannot reject null hypothesis.]

Answer:

be they just do hahahaha

Answer:

nm mn

Step-by-step explanation: