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:
Kindly check explanation
Step-by-step explanation:
Given the expression :
Jacob's yearly income :
2000x + 3000 ; x = number of hours worked per week.
Carlos income :
3800x - 40000
Managers prediction = 35
Jacob.: 2000(35) + 3000 = 73000
Carlos : 3800(35) - 40000 = 93000
Carlos will earn more than Jacob given the manager's prediction.
Number of hours required so they can earn the same amount :
2000x + 3000 = 3800x - 40000
3000 + 40000 = 3800x - 2000x
43000 = 1800x
x = 43000/1800
x = 23.88
x = 24 hours
There are six roses in the vase. Alyssa cut some more roses from her flower garden. There are now 16 roses in a vase. How many roses did she cut?
Answer:
10
Step-by-step explanation:
because 6+10=16. I feel so bad for all of the flowers.
Nadia charges $5.50 an hour for babysitting. She babysits 17.50 hours the first week of the month and 21 hours the second week of the month.
Suppose Nadia raises her rate by $0.55 an hour. How many hours would she need to work to earn the same amount of money she made in the first two weeks of the month?
Answer:
about 34 hours
Step-by-step explanation:
Answer:
35 hours.
Step-by-step explanation:
To achieve an answer to this question, we'll have to set two expressions equal to each other.
Let's first start by calculating how much Nadia has made in the first two weeks of the month. We can do this by adding the amount of hours she works in the first and second week together:
[tex]21+17.5[/tex]
[tex]=38.5[/tex]
Let [tex]h[/tex] equal hours.
Set up your first expression:
[tex]5.50h[/tex]
Let's go ahead and substitute 38.5 into the expression to see how much money she will make the first two weeks of the month at a rate of $5.50 an hour:
[tex]5.50(38.5)[/tex]
[tex]=211.75[/tex]
We are told that Nadia raises her rate by $0.55, so we'll need to add 0.55 to 5.50 in order to find her increased rate:
[tex]5.50+0.55[/tex]
[tex]=6.05[/tex]
Set up your second expression:
[tex]6.05h[/tex]
Now, set this equal to how much she made the first two weeks at a rate of $5.50 an hour:
[tex]211.75=6.05h[/tex]
Divide both sides of the equation by the coefficient of [tex]h[/tex], which is [tex]6.05[/tex]:
[tex]35=h[/tex]
Therefore, it will take Nadia 35 hours to earn the same amount of money she made in the first two weeks of the month.
_
Check your work by substituting 35 for [tex]h[/tex] in the equation below:
[tex]211.75=6.05h[/tex]
[tex]211.75=6.05(35)[/tex]
[tex]211.75=211.75[/tex]
Since both sides of the equation are equal to each other, our answer is correct!
Look at image please help I’m struggling 4 more minutes for the test is over
Does 3 times 48 equal 4 times 36
Answer:
Yes
Step-by-step explanation:
3 x 48 = 144
4 x 36 = 144
They are equal.
Answer:
3 * 48 is 144 4 x 36 is also 144 so yes they are equal
Divide n by 5 then add 6
Answer:
n+30/5
Step-by-step explanation:
Simplify n/5
n/5+6
Rewrite the whole as an equivalent fraction
2.1 Add an integer to a fraction
Rewrite the whole as a fraction using 5 as the denominator: 6= 6/1=6×5/5
Equivalent fraction: the fraction thus generated looks different but has the same value as everything.
2.2 sum of the two equivalent fractions add two equivalent fractions that now have a common denominator
Combine the numerators, place the sum or difference over the common denominator, and then reduce to the lowest terms of possible:
n+6×5/5=n+30/5
I need help, this teacher isn't explaining things like she is supposed to
Answer:
3 and 4
Step-by-step explanation:
13 is between the perfect squares of 9 and 16, which are 3^2 and 4^2 respectively.
2 triangles have identical side lengths and angle measures. The second triangle is rotated about 45 degrees.
What type of transformation maps ΔQRS to ΔQ'R'S'?
dilation
reflection
rotation
translation
Answer: C. Rotation
Step-by-step explanation:
on ed
Answer:
the answer is C rotation
Step-by-step explanation:
on ed 2020
Please help, this is my first time! Here is the question: Maria earned a total of $504 the last two days. She worked 8 hours the first day, 4 hours the second day. How much did Maria earn every hour? Please show how you did it, this is my first time, so please help.
Answer:
$42 per hour
Step-by-step explanation:
Well,
She got $504 in total
8 + 4 = 12 (the total number of hours worked)
To find out how much she earned per hour you'll need to divide.
$504 ÷ 12
which equals $42
Answer:
Maria earned $42 per hour.
Step-by-step explanation:
First, we need to add the total amount of hours she worked.
8 + 4 = 12
Next, we need to divide 504 and 12 to see how much she earned per hour.
504 ÷ 12 = 42.
So, Maria earned $42 per hour.
I hope this helps you! Welcome to Brainly. Good luck and have a great day. :)
4[(10-4)2 ÷4]
A.9
B.6
C.12
D.36
Answer:
C.12
Step-by-step explanation:
Answer: C. The answer is 12. Hope this helps.
Help asap
The soccer team is conducting a fundraiser selling long-sleeved T-shirts for $14 and short-sleeved T-shirts for $10. So far the team has sold less than $200 worth of the two types of T-shirts. Which inequality best represents x, the number of long-sleeved T-shirts they have sold, and y, the number of short-sleeved T-shirts they have sold?
x + y 200
14x + 10y > 200
14x + 10y < 200
Answer:
14x +10y < 200
Step-by-step explanation:
The inequality that represents the given condition is: 14x + 10 y < 200.
What is an inequality?"An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions."
Given, the price per long sleeved t-shirt is $14.
The price per short sleeved t-shirt is $10.
The soccer team has sold less than $200 worth of both types of t-shirts.
Here, the number of long-sleeved t-shirts they have sold is 'x'.
The number of short-sleeved t-shirts they have sold is 'y'.
Therefore, the total price of long sleeved t-shirt sold is = $14 × x = $14x
The total price of short sleeved t-shirt sold is = $10 × y = $10y
Therefore, the required inequality will be:
14x + 10 y < 200
Learn more about an inequality here: https://brainly.com/question/18342668
#SPJ2
Can someone please help me
Answer:
(0,4)
Step-by-step explanation:
The x-axis is the horizontal line on the grid. When finding coordinates, we record the x-axis first. So in this case, look at point N.
N only comes up from 0 on the x-axis, so that's the first part of the coordinate.
Now for the y-axis. The y-axis is the vertical line on the grid. Point N seems to be on the number 4 of the y-axis.
so your answer is (0,4)
Chang rented a truck for one day. There was a base fee of 15.95, and there was an additional charge of 88 cents for each mile driven. Chang had to pay 210.43 when he returned the truck. For how many miles did he drive the truck?
Answer:
221 Miles
Step-by-step explanation:
Since there is a base fee, you substract that from the total.
210.43 - 15.95 = 194.48.
And since it was .88 per mile, you just divide 194.48 by .88 to get 221
Solve the problem algebraiclly i
Answer:
x=-3.75
Step-by-step explanation:
17 = -13-8x
30=-8x
x=-3.75
Answer:
Step-by-step explanation:
17=-13-8x
Step 1: add 13 to both sides
30=-8x
Step 2: divide by -8
-3.75=x
(-9) - (-37) =
A -29
B -40
C 28
Answer:c: 28
Step-by-step explanation:
Grace and Hannah are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Grace is 250 miles away from the stadium and Hannah is 306 miles away from the stadium. Grace is driving along the highway at a speed of 40 miles per hour and Hannah is driving at speed of 54 miles per hour. Let GG represent Grace's distance, in miles, away from the stadium tt hours after noon. Let HH represent Hannah's distance, in miles, away from the stadium tt hours after noon. Write an equation for each situation, in terms of t,t, and determine the number hours after noon, t,t, when Grace and Hannah are the same distance from the stadium.
Answer:
Step-by-step explanation:
Grace: -40t+250
Hannah: -54t+306
-40t+250 = -54t+306
SOLVE THE EQUATION ABOVE
t=4
The total number of hours afternoon when Grace and Hannah are the same distance from the stadium is 4 and this can be determined by forming the linear equations.
Given :
Grace is 250 miles away from the stadium and Hannah is 306 miles away from the stadium. Grace is driving along the highway at a speed of 40 miles per hour and Hannah is driving at speed of 54 miles per hour.The following steps can be used in order to determine the number of hours afternoon when Grace and Hannah are the same distance from the stadium:
Step 1 - According to the given data, 'G' represents Grace's distance, in miles, away from the stadium and 'H' represents Hannah's distance, in miles, away from the stadium.
Step 2 - The linear equation that represents Grace's distance from the stadium is:
[tex]G = 250-40t[/tex]
Step 3 - The linear equation that represents Hannah's distance from the stadium is:
[tex]H = 306 - 54t[/tex]
Step 4 - The value of 't' when Grace and Hannah are the same distance from the stadium is:
[tex]306-54t = 250-40t[/tex]
Step 5 - Simplify the above expression.
[tex]56=14t[/tex]
[tex]\rm t = 4\;hr[/tex]
So, the total number of hours afternoon when Grace and Hannah are the same distance from the stadium is 4.
For more information, refer to the link given below:
https://brainly.com/question/11897796
PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!11
Simplify (−3.5)(−3)(−6.4).
1. −672
2. −67.2
3. 67.2
4. 672
Answer:
2 -67.2
Step-by-step explanation:
-3.5 Times -3 = 10.5
10.5 Times -6.4 = -67.2
Answer:
2. -67.2
Step-by-step explanation:
(−3.5)×(−3)×(−6.4)=−67.2
I have done it before and I did the work.
Please help!! not sure if this is right :(
Answer:
Your answer is correct.
Step-by-step explanation:
Evaluate each using the values given.
x-5-|xz|; use x = 8, and z=-10
A) -67 B) -80
C) -75 D) -77
How do you describe sequences
3x + 5.9 = 14.6
What's the answer?
Answer: X=2.9
Step-by-step explanation:
Ida needs to hire a singer for her wedding. Singer A is offering his services for an initial $80 in addition to $13.35 per hour. Singer B is offering her services for an initial $86 in addition to 11.65 per hour. When will the two singers charge the same amount for money?
Answer:
The two singers will charge the same amount for money at 3.53 hours
Step-by-step explanation:
Let the number of hours be represented by y
Ida needs to hire a singer for her wedding.
Singer A is offering his services for an initial $80 in addition to $13.35 per hour.
= $80 + $13.35(y)
= 80 + 13.35y
Singer B is offering her services for an initial $86 in addition to 11.65 per hour.
= $86 + $11.65 × y
= 86+ 11.65y
When will the two singers charge the same amount for money?
Singer A = Singer B
80 + 13.35y = 86+ 11.65y
Collect like terms
= 13.35y - 11.65y = 86 - 80
1.7y = 6
y = 6/1.7
y = 3.5294117647 hours
Approximately = 3.53 hours
The two singers will charge the same amount for money at 3.53 hours
Suppose the equation of line t is y=x
Answer:
Hi
Step-by-step explanation:
A family of 5 is going on a cross-country vacation. For a bit of variety, the family of 5 decides that they will frequently change the seating arrangement in their 5-seated vehicle. How many seating arrangements can they make if ALL of them have their driver's license.
Answer:
Step-by-step explanation:
This questions bothers permutation since permutation talks about arrangement.
The number of ways n objects can be arranged is n! ways
n! = n(n-1)(n-2)!
If a family of 5 is going on a cross-country vacation, and decided to change their seating arrangement. The total seating arrangement that they can have is;
5! = 5*4*3*2*1
5! = 20*6
5! = 120 different arrangements
A warehouse elevator can hold 1750 pounds. A 200 pound worker loads the elevator with boxes that weigh 75 pounds each. The inequality describes the maximum number of boxes the worker can put on the elevator if he is also on the elevator. Which statement is true?
Answer: He can load at most 20 boxes.
Step-by-step explanation:
Let x = Number of boxes.
Then, Weight of 75 boxes = 75x
Also, Weight of worker = 200 pounds
So total weight in elevator = Weight of 75 boxes + Weight of worker
= 75x +200
A warehouse elevator can hold 1750 pounds.
∴ 75x +200 ≤ 1750
⇒ 75x ≤ 1750 -200
⇒ 75x ≤ 1550
⇒ x ≤ 20.67 [Divide both sides by 75]
It implies the maximum number of boxes it can hold = 20
Hence, the true statement is
He can load at most 20 boxes.
The measure of an angle is 8 more than the measure of the other angle. If the two angles are complementary angles, find the measure of each angle
Answer:
yd wyyhvbfhu vuhcvb u sbhn j sbjhdghdgfh jbvdfhj gbhvdfhv hvg h jhs vh gh
Step-by-step explanation:
5h=srt solve for t please help
Answer:
t=t
Step-by-step explanation:
we need h
What is the equation of the line that passes throligh the point (-6, 6) and has a
slope of -5/3
Answer:
y = -1 2/3x - 4
Step-by-step explanation:
y = mx + b
Replace numbers with the corresponding variables
6 = -5/3 * -6 + b
6 = 10 + b
-4 = b
y = -1 2/3x - 4
Let me know if something's wrong :)
Find x. Give reasons to justify your solution.
Answer:
x = 28
Step-by-step explanation:
Okay COB is vertical to AOB, so we know they equal the same. Right the equation this way.
3x + x + x + 12 = 152 (collect like terms)
5x + 12 = 152 (subtract 12 on each side)
5x = 140 (divide by 5 on each side)
x = 28
(PLUG IN)
3(28) + (28) + (28) + 12 = 152
84 + 28 + 28 + 12 = 152
152 = 152
A different store needs to make at least $20,000 to make a profit in March. They average $685 a day for the month. James used rounding and estimation to say, "$685 is almost $700. $700 × 30 days is $21,000. I think it is going to be a close call!" What do you think?
Answer: James is right
Step-by-step explanation:
Since they average $685 a day for the month. This means for the month, they'll make:
= $685 × 30
= $20,550
Approximating $20,550 will give $21000 and since James used rounding and estimation to say, "$685 is almost $700 and $700 × 30 days is $21,000. James is quite correct.