Hi there!
We can begin by writing an equation for each company.
Let x = number of hours
Company A:
y = 250 + 50x (hourly rate is $50)
Company B:
y = 150 + 75x (hourly rate is $75)
We can set the two equations equal to each other to find their intersection point:
250 + 50x = 150 + 75x
Solve for x:
250 - 150 = 75x - 50x
100 = 25x
x = 4
Solve for y by plugging x into an equation:
y = 150 + 75(4) = 150 + 300 = 450
Thus, the lines intersect at (4, 450)
4 hours ⇒ $450 dollars
(E) 140°
2. If ZX and Zy are complementary, and ZX
and ZZ are supplementary, which of the
following is true?
(A) MZY + mZZ = 270
(B) 2(mZY)= m_Y + m2Z
(C) mZZ mZX = 90
(D) mZZ m_Y = 90
(E) mZX + mZZ = 180
Answer:
a
Step-by-step explanation:
just took the test
)) Type the missing numbers in this sequence: -3, -8, -13, -18,
Answer:
23
Step-by-step explanation:
first off if your to take away 3 from 8 you'd get five and the same goes for the rest
I.e
8-3=5
13-8=5
18+5=23
as 23 -18 would give you you 5
HELP ME PLEASE !!!!!!!!
39. The area of a triangle A varies jointly as b and h. If A = 225 in- when b = 18 in. and h = 25
in., find A when b = 35 in. and h = 40 in.
37
Answer: B
Step-by-step explanation:
Answer:
700 in^2
Step-by-step explanation:
If A = 225 in- when b = 18 in. and h = 25
225 = 18 * 25 / 2
a = 35 * 40 / 2
a = 700
Can some help me please I did one but I am not sure if it is correct.
thank you
Answer:
yes its correct
Step-by-step explanation:
but for the check where did you get the 12? you might want to redo that part but otherwise its right
Questions
Fine the area of the triangle whose vertices are (-2,2), (1,-2) and (0,2).
Answer:
a) 16
b) 8
c) 4
d) 2
Answer:
The answer to this is c) 4.
Eight pins, each 43/8" long, have to be cut from a piece of drill rod. There is a 3/32" waste for each cut. What is the minimum length of rod you will need?
Answer:
Eight pins, each 43/8” long, have to be cut from a piece of drill rod. There is a 3/32” waste for each cut. What is the minimum length of rod you will need? 35” ...
11x - 2(x + 3) = 30. (filling up space) iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Answer:
x=4
Step-by-step explanation:
11x - 2(x + 3) = 30
distribute: 11x-2x-6=30
add like terms: 9x-6=30
add 6: 9x=36
divide by 9: x=4
Answer:
x = 4
Step-by-step explanation:
11x - 2(x +3) = 30
11x -2x - 6 = 30
11x - 2x = 30 + 6
9x = 36
9x/9 = 36/9
x = 4
Determine the probability of selecting a two-child family with one boy and one girl assuming boys and girls are equally likely
Using the binomial distribution, it is found that there is a 0.5 = 50% probability of selecting a two-child family with one boy and one girl.
For each child, there are only two possible outcomes, either it is a boy, or it is a girl. The probability of a child being a boy or being a girl is independent of any other child, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
Two children, hence [tex]n = 2[/tex].Equally as likely to be a boy or a girl, hence [tex]p = 0.5[/tex].The probability of one of each is P(X = 1), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{2,1}.(0.5)^{1}.(0.5)^{1} = 0.5[/tex]
0.5 = 50% probability of selecting a two-child family with one boy and one girl.
A similar problem is given at https://brainly.com/question/24863377
write the algebraic expression for 3 less than the product of Y and 2
Answer:
2y-3
Step-by-step explanation:
the product of y and 2 is just multiplying
then 3 less means subt. 3
dont sound so smart doing it she will know
Jeremy is incorrect because a negative plus a negative will always be a negative.
need some help with these!!
The ratio of the totals of the numbers in box A and box B is 2:3.
Swap two numbers, one from each box, so that the ratio of the totals of the numbers is now 9:11. Show your working.
Please answer asap!! :)
Answer:
Swap 10 from box A and 15 from box B
Step-by-step explanation:
For calculate the ratio between the boxes we find the mean of the box A and the mean of the box B and divide this two results.
For find the mean of a set you use the next formula [tex]\bar{x} = \frac{\text{sum numbers}}{\text{total numbers}}[/tex]
[tex]\bar{A} = \frac{4+5+9+10+12}{5} = \frac{40}{5}= 8\\\bar{B} = \frac{6+7+13+15+19}{5} = \frac{60}{5}= 12[/tex]
Then the ratio is equal to [tex]\frac{\bar{A}}{\bar{B}} = \frac{8}{12} = \frac{2}{3}[/tex]
Know the ask us for a ratio of 9:11 then we know two things about the boxes.
If you swap the numbers between them the total of numbers in the mean not change is always 5 and the sum of all the elements in both boxes is always 100. With this we can state the next equation:
The new mean of [tex]\bar{A}[/tex] is 9 then:
[tex]\frac{\text{sum of elements in box A}}{5} = 9[/tex]
[tex]\text{sum of elements in box A} = 45[/tex]
The new mean of [tex]\bar{B}[/tex] is 11 then:
[tex]\frac{\text{sum of elements in box B}}{5} = 11[/tex]
[tex]\text{sum of elements in box B} = 55[/tex]
Now we know what is the sum of the elements in both boxes, but how we find the elements for swap? Well with the next relation.
When you take out a element from the box A this elements is substracted to the total sum of the elements in the box A and get a new sum of total of elements named [tex]c[/tex] (where [tex]a[/tex] is the element taken):
[tex]40 - a = c[/tex]
And when you sum an element to the box A the current sum of total elements in the box change to (where [tex]b[/tex] is the added element):
[tex]b + c = 45[/tex]
So replace [tex]c[/tex] for the first relation and get:
[tex]b + 40 - a = 45\\b - a = 5[/tex]
From the last equation you can deduct that [tex]b[/tex] is greater than [tex]a[/tex] and the different between both values is 5. So the last step is find a number in the box B that substracted to a number from the box A give us 5. These both numbers are 15 and 10 because 15 - 10 = 5.
SLOVE I GIVE BRAINLEST
18+ -27
A. -45
B. -9
C. 9
D. 48
Answer:
B: -9
Step-by-step explanation:
When you add a negative number, you subtract that number.
[tex]18+-27=18-27=-9[/tex]
What is the product of -13/8 and 24/5
Answer:
-7 4/5 or -7.8
Step-by-step explanation:
Product means multiplication
( - 13/8 )( 24/5)
= (-13 · 24)/(8 · 5) negative · positive = negative
= - 312/40
= -7 32/ 40 = -7 4/5 or 7.8
I'm DJ music is my hobbies what about you:)
Answer:
Playing video games or sumthin
Andrew made a list of chores he needed to complete before his father comes home from work. On the chart, he showed the time it would take him to complete each chore.
If Andrew’s father is expected home at 6:00 p.m., what is the latest time Andrew could begin his chores?
Use the Hint to view the conversion chart.
Answer: the answer is 3:20pm!
Step-by-step explanation:
i got the question correct just now!
Answer:
3;20
Step-by-step explanation:
Mr. Haynes wants to expand his rectangular living room to make room for an indoor theater system. He asks the contractor to make the width of the room 5 feet longer and he wants the length of the room to be 5 feet longer than twice the width. When finished the new room will have a perimeter of 140ft around. The new dimensions of the room will be
Step-by-step explanation:
check the image for detailed solution
please help me with this sum I will mark you as brainest
Answer:
6/8 × 6 = 9/22/5 × 4 = 8/59/3 × 9 = 277/4 × 8 = 148/6 × 2 = 8/34/9 × 7 = 28/93/8 × 3 = 9/87/2 × 4 = 146/3 × 6 = 12 8/9 × 3 = 8/3Hope It's Help
BRINLEST WIL BE GIVIN
Answer:
[tex]\huge\boxed{-0.001a^{n+1}}[/tex]
Step-by-step explanation:
[tex]-0.001a^{3n+3}=-0.001a^{3(n+1)}=(-0.001a^{n+1})^3\\\\\text{Used}\\\\a(b+c)=ab+ac\qquad\text{distributive property}\\\\(a^n)^m=a^{n\cdot m}[/tex]
A motor that’s rated at 1/8 horsepower is used to drive a pump. How much horsepower will be applied to the pump if the motor delivers only 2/7 of its rated horsepower?
A. 23/56
B. 1/28
C. 2/15
D.7/16
Based on the information given, the fraction of horsepower that will be applied to the pump will be 1l28.
From the information given, it can be seen that the motor is rated at 1/8 horsepower and used to drive a pump.
Therefore, the fraction of the horsepower that will be applied to the pump if the motor delivers only 2/7 of its rated horsepower will be:
= 2/7 × 1/8.
= 2/56
= 1/28
Learn more about fraction on:
https://brainly.com/question/25803541
b. Symbols Write an expression for the number of feet in x inches.
Help!!
Answer:
x/12
Step-by-step explanation:
There are 12 inches in a foot.
feet in x inches = x/12
_____
With units, you have ...
(x in) × (1 ft)/(12 in) = x/12 ft
Help help hekpngelpnheopbh kobgelp
Answer:
5
Step-by-step explanation:
3+2=5
x=3
an alloy is 70% iron. How much of this alloy do you need if you want to obtain 50.35 lb of iron?
Answer:
1007/20
Step-by-step explanation:
You helped me so i help you. Here you go my friends sorry i dont have an explanation. Good luck !
Use proportions. X is what you want.
70 50.35lb
__ = _____
100 x
Cross multiply to get 70x = 5035
Solve to get about 71.93 lbs of the alloy.
Write the equation of the line in Point-Slope Form given the information below.
Slope=7
Point=(1,4)
Answer:
Step-by-step explanation:
y - 4 = 7(x - 1)
y - 4 = 7x - 7
y = 7x - 3
i'll be asking a lot of questions because this assignment has like 50 questions
PLEASE ANSWER WITHIN THIS HOUR!
You and your friend decide to have a road trip. If a car travel 280 miles in 7 hours. How far will it travel in 12 hours?
Thank you for your help!!
Answer:
480 miles
Step-by-step explanation:
Well, firstly - no idea, as cars can go slower or faster and there is no indication that this particular car would maintain the exact same avg. speed over 12 hours.
There is no way to solve this otherwise though, so we'll assume the car's speed is constant.
280mi / 7h = 40mph
40mph * 12h = 480mi
Evaluate these expressions if x = 8. Substitute the number for the variable and solve. Follow the order of operations. 7 + x, 12 - x, x + 3, 32/x
Answer:
15, 4, 11, 4
Step-by-step explanation:
x=8
so 7+x, 7+8= 15
12-8 = 4
x+3 , 8+3=11
32/8 = 4
what is 7:30 + 46 minutes
The answer would be 8:16
Two numbers have a sum of 18. Their product is 72. Find the numbers
Answer:
Step-by-step explanation:
x + y = 18
y = 18 - x
xy = 72
x(18 - x) = 72
-x² + 18x = 72
0 = 72 - 18x + x²
x = (18 ± √(18² - 4(1)(72))) / (2(1))
x = (18 ± 6)/2
x = 12
x = 6
A farmer uses two types of fertilizers. A 50lb bag of fertilizer A contains 6 lb of nitrogen and 3lb of phosphorus. A 50 lb bag of fertilizer B contains 4 lb each of nitrogen and phosphorus. The minimum requirements for a field are 480 lb of nitrogen and 240 lb of phosphorus. If a 50lb bag of fertilizer A costs $35 and a 50 lb bag of fertilizer B costs $25 find the amount of each type of fertilizer the farmer should use to minimize his cost while still meeting the minimum requirements. mathematically formulate and state the problem.
Answer:
Fertilizer A = 20, Fertilizer B = 56
Step-by-step explanation:
Step 1: Set up the equations
Nitrogen: 8x + 5y ≥ 440
Phosphorous: 2x + 5y ≥ 260
Potassium: 4x + 5y ≥ 360
Step 2: Find the vertices
It is easiest to graph the equations to find the vertices. (see attachment). You can also solve each system of equations to find the intersected points.
The following satisfy the "greater than or equal to" requirement:
(0, 88) → y-intercept of Nitrogen equation
(20, 56) → intersection of Nitrogen and Potassium equations
(50, 32) → intersection of Phosphorous and Potassium
(130, 0) → x-intercept of Potassium
Step 3: Use vertices in cost function C(x) to find the minimum
C(x) = $30x + $20y
(0, 88): $30(0) + $20(88) = $1760
(20, 56): $30(20) + $20(56) = $1720 ← This is the minimum!
(50, 32): $30(50) + $20(32) = $2140
(130, 0): $30(130) + $20(0) = $3900
The minimum cost occurs when 20 bags of Fertilizer A and 56 bags of Fertilizer B are purchased.