Question 4 of 32 Jacob is a construction worker who earns a yearly income given by the expression 2000x + 3000, where x is the number of hours he works each week. Carlos works with Jacob and earns a yearly income given by the expression 3800x – 40000. A manager predicts that if Carlos and Jacob each work 35 hours, they will earn the same amount of money.

PART A:The number of hours that makes the equation true is
Options: 24, 27, 29,31,34

PART B:Round your answer to the nearest whole number. The manager's prediction is
Options: equal to, less than, greater than

the actual number of hours that Carlos and Jacob need to work to earn the same amount of money.​

Answer:

11

Step-by-step explanation:

Here, we replace x and y with the values given that x = 6 and y = 2:

=[tex]\frac{3(6)+4}{(2)}[/tex]

= [tex]\frac{18+4}{2}[/tex]

=[tex]\frac{22}{2}[/tex]

=11

Answer:

The answer is 2 inches

Step-by-step explanation:

U just have to divid 20 by 10 and you get ur answer

Step-by-step explanation:

D. no such line exits

you have to know the gradient of the line given and there is no gradient given

Answer:

(0, 3)

Step-by-step explanation:

If a point O(x, y) divides a line XY in the ratio n:m with [tex]X\ at\ (x_1,y_1)\ Y\ at\ (x_2,y_2)[/tex], the coordinates of O is:

[tex]x=\frac{n}{n+m} (x_2-x_1)+x_1\\\\y=\frac{n}{n+m} (y_2-y_1)+y_1[/tex]

AC is 6 times AB, this means that point B, divides line AC in the ratio 1:5. Given A at (1,5) and C at (-5, -7)

Let us assume B to be at (x, y), hence:

[tex]x=\frac{1}{1+5}(-5-1)+ 1=\frac{1}{6}(-6)+1 =0\\\\y=\frac{1}{1+5}(-7-5)+5=\frac{1}{6} (-12)+5=3[/tex]

Therefore the location of B is (0, 3)

Answer:

(0, 3)

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Answer:

True because if the United States is in North America which it is, a city of the United States is most likely to be in North America.

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

f(x) = 3x -12 for x = 9

f(9) = 3(9) -12

27-12

15

Answer: 1.29

Step-by-step explanation: y=1.29x+2

1.29 is the coefficient of X, slope, and the rate of change.

8 miles is equal to 12.9 kilometers .

Given,

Convert 8 miles into kilometers  .

Now,

From the metric system of unit conversion table we see that;

1 kilometer = 1000 meters (m)

1 meter = 100 centimeters (cm)

1 centimeter = 10 millimeters (mm)

Here we need the conversion factor that includes miles,

So according to the table 1 mile is equal to 1.609 kilometers  .

Then,

8 miles will be equal to:
8*1.609

= 12.9 kilometers  .

Hence the value of 8 miles in km is equal to 12.9 kilometers .

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Answer:

5x^3- 6x^2 - 25/y + 18 / y

Step-by-step explanation:

It would be that expression over y.

Sorry if its wrong I'm still learning too:)

Answer:

The answers are

*There are four terms.

*The term -25/y is a ratio.

Step-by-step explanation:

Answer:

We have two data points:

2000 shirts can be sold for $80 each.

5,000 shirts can be sold for $65 each.

Then we can define the relation:

P(n).

Where P is the price, and n is the number of shirts.

Now, we know that we can model this as a linear relationship that passes through the points (2000, $80) and (5000, $65)

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

In this case, the slope is:

a = ($65 - $80)/(5000 - 2000) = -$0.005.

Then our equation is:

P(n) = -$0.005*n + b

Now let's find the value of b, we know that:

P(2000) = $80 = -$0.005*2000 + b

                 $80 = -$10 + b

                  $80 + $10 = b = $90

Our equation is:

P(n) = -$0.005*n + $90.

See attachment for math work and answer.

Answer:

See attached picture.

Step-by-step explanation:

We know that in slope-intercept form [tex]y=mx+b[/tex], [tex]m[/tex] represents the slope of the line and [tex]b[/tex] represents the y-intercept. To start we would put a point on (0,5) to represent the y-intercept. Next, we know our slope is 2 so we would go up two and right one to get to our next point (2,6). We can then make a straight line between these to get our graph

Answer:

is 115

Step-by-step explanation:

i think since 7 checks equal 50, 14 must equal 100. and the other kid already had 15 dollars i think so that makes sense......... i think

Answer: 52

Step-by-step explanation:

4x+8 = 5x-3 by the Vertical Angles Theorem that states the vertical angles are congruent.  

Subtract 4x from both sides and get:

8=1x -3

Add 3 to both sides:

11= 1x

if x =11, plug that in to angle A.  

4x+ 8 becomes 4(11)+8 =

44+ 8=

52

Answer:

D

Step-by-step explanation:

Angle Side Angle

Answer:

[tex]Y = -1x + 4[/tex]

Step-by-step explanation:

Hope this helps

Answer:

It is a Isosceles triangle

Step-by-step explanation:

The name of the triangle is an isosceles triangle.

Option B is the correct answer.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

Right:

A right triangle is a triangle that has one angle measuring 90 degrees (a right angle).

It can have different side lengths and angles, but it must have one right angle.

Isosceles:

An isosceles triangle is a triangle that has at least two sides of equal length and the corresponding angles opposite those sides are equal.

The third side can have a different length, and the third angle opposite that side will be different from the other two angles.

Scalene:

A scalene triangle is a triangle that has no sides of equal length and no angles of equal measure.

All three sides and angles are different.

Obtuse:

An obtuse triangle is a triangle that has one angle that measures greater than 90 degrees (an obtuse angle).

The other two angles will be acute angles, measuring less than 90 degrees.

It can have different side lengths, but it must have one obtuse angle.

So,

The name of the triangle in which two sides have the same length and the corresponding two angles have the same size is an isosceles triangle.

Therefore,

The name of the triangle is an isosceles triangle.

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rtbnjtfbu7yhjujkuf. ,i

Answer:

420 69x1.38 (122) 12344

Answer:

what>???????????????????/

Step-by-step explanation:

Answer:

9x+4=24+x; x=2.5

Step-by-step explanation:

Answer :pls delete my answer.

Answer: 3x(x-5) (x+5)

Step-by-step explanation Step 1: Factor out comon coeffecient factor. 3x3 (exponent) - 75x.- 3(x3 (exponent)-25x)

Step 2: Find One factor. 3x(x2(exponent)-25)

Step 3 an final step: Find One factor again. Factor by grouping, Factor by grouping again, Factor by grouping a third time. Edit: I hope this was helpful and I wish the best of luck to the person that asked this question and people that want to know this question.

Step-by-step explanation:

perimeter = 2* ( length + width)

Length = 4 + Width = 4+x

Equation is,

2* (4+x+x) = 48

2* (4+2x) = 48

4+2x = 48/2 = 24

4+2x=24

2x = 24-4 = 20

2x = 20

x = 10

Answer: 3 1/5

Step-by-step explanation:

Answer: Inequality that describes the number of people P that she can invite if Janelle has No more than $95 dollars to spend on the party bags: 7P  ≤  95  

Step-by-step explanation:

Given: The cost of the party bag is $7 per person.

P represents the number of people that she can invite.

Total cost for P people = ( cost per person) x (P)

=$ 7P   (i)

If  Janelle has No more than $95 dollars to spend on the party bags.

That means , Total cost ≤ $ 95

From (i)

7P  ≤  95   , which is the required inequality.

Answer:

Step-by-step explanation:

We need to set the equation equal to 0

-4 - x > 0

+ -4   +   -4

Answer:

Yes, Samuel's Dart does land on the dartboard.

Step-by-step explanation:

The diameter of the dartboard = 18 inches

∴ The radius of the circle = 9 inches = 0.75 feet

The coordinate of the bull's-eye = 11 feet from the left wall, 5 feet 8 inches from the ground

∴ The coordinate of the bull's-eye = (11, 5.67)

The position of the dart Samuel throws = 11.5 feet from the left wall, 5.5 feet from the ground

∴ The coordinates of the position of the dart Samuel throws = (11.5, 5.5)

The equation for the area of a circle is given as follows;

(x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center

r = The radius

Given that the bull's-eye is the center of the circle formed by the dartboard of radius 9 inches, we have;

(h, k) = The coordinates of the center

For the dartboard, we have;

(h, k) = The coordinates of the center = The coordinate of the bull's-eye = (11, 5.67)

h = 11, k = 5.67

∴ The equation of the circle formed by the dartboard = (x - 11)² + (y - 5.67)² = 0.75² = (3/4)² = 9/16

The square of the distance of the dart Michael throws from the bull's eye = (11.5 - 11)² + (5.5 - 5.[tex]\overline 6[/tex]7)² = 5/18

Therefore, given that the square of the distance of the dart Michael throws from the bull's eye < The square of the radius of the circle formed by the dart board and that the center of the, where the length of both the position of Samuel's dart and the radius of the circle formed by the dartboard are measured from the same point, (the center of the circle) we have;

The position of Samuel's dart is on the dart board

Therefore;

Yes, Samuel's Dart does land on the dartboard.

Answer:18-1 closed right 5

19-3 open right5

20 0 open left 1 3 closed right 1

21 -4 open left 2 -3 open right 3

22 3 close left 2  6 open right 1

23-3 open left 1  0 open right 2

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

12/52=6/26=3/13