Answer:
1 1/5
Step-by-step explanation:
An elevator company claims "for every 15 inches of cable, we can hold up to 32 pounds". Each elevator comes with a standard length of 18 inches for their cable. If an elevator has a
weight limit of 800 lbs, how many additional inches of cable were used?
375 inches of cable were used for an elevator with weight limit of 800 lbs
Let y represent the weight in pounds and x represent the inches of cable.
Since y and x are proportional:
y = kx,
k is the constant of proportionality.
15 inches of cable, we can hold up to 32 pounds. Hence:
32 = 15k
k = 2.13 pounds per inch
y = 2.13x
For a weight of 800 lbs, y= 800:
800 = 2.13x
x = 375 inches
375 inches of cable were used for an elevator with weight limit of 800 lbs
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Pleaseee HELPPPPPP HELPPPPP PLEASE
Answer:
14.6
Step-by-step explanation:
the given angle 6.2 is cleared to be wrong
so we will erase the point of decimal and times sin62 with hypotenous 16.5 that will give us 14.6 length unit as 2 triangles are symmetric as the line cut them to 2 equal triangles
-2x^2 + (y)(x/3); use x= -3, and y = 2
Answer:
-2(x^2+1)
Step-by-step explanation:
1. Divide The Numbers:
-2x^2+2(-3/3)
-2x^2+2(-1)
2. Multiply The Numbers:
-2x^2+2(-1)
-2x^2-2
3. Common Factor:
a. Factor by grouping
-2x^2+2(-3/3)
-2x^2-2
b. Factor by Grouping
-2x^2-2
-2(x^2+1)
-2x^2+(2)(-3/3)
Solution: -2(x^2 + 1)
Solve the system of equations.
\begin{aligned} & -4x+3y = -2 \\\\ & y=x-1 \end{aligned}
−4x+3y=−2
y=x−1
Answer:
x = -1 ; y=0
Step-by-step explanation:
We plug in the y, from the second equation, in the first one. By doing so we obtain:
-4x +3(x-1) = -2
-4x + 3x - 3 =-2
-x = 1
x= -1
Now we take this value and plug it in the second equation:
y = 1-1 = 0
Solution:
(-1,0)
if EF = 8x + 16, FG = 60, and eg = 156, find the value of x
Answer:
10
Step-by-step explanation:
8x+16+60=156
8x+76=156
8x=80
x=10
At Howard High School, 6% of the students ride bikes to school. If 950 students attend Howard High School, how many students ride a bike to school?
I need the answer like rn...
Answer:
19 students ride a bike to school
Answer for brainliest
Find the vale of x need help
Answer:
x=45 degrees
Step-by-step explanation:
You can see based off of the markings on the 2 sides, that it is an isosceles triangle, so that means the 2 base angles are equal.
so 2x+90=180 degrees
so 2x=90 degrees
x=45
Answer:
[tex]x=45[/tex]
Step-by-step explanation:
→a+b+c=180
→Angle a is given to be 90 degrees
→ Also the other to angles are the same length so the same angle
[tex]90+2x=180[/tex]
Step 1: Subtract 90 from both sides.
[tex]2x+90-90=180-90[/tex]
[tex]2x=90[/tex]
Step 3: Divide both sides by 2.
[tex]\frac{2x}{2} =\frac{90}{2}[/tex]
[tex]x=45[/tex]
Answer:x=45A Jeep Grand Cherokee costs about $45,000 right now. What would be the monthly payment if you could get a 60 month loan at 7.5% APR? Can you afford this?
The monthly payment if you could get a 60-month loan at 7.5% APR is $1,031.25
First, we need to get the amount on the cost of the Jeep at the rate of 7.5% using the formula
Amount = Principal + Interest
Given the following parameters
Interest = PRTR is the rate = 7.5%T is the time in years = 5 yearsGet the interest
Interest = 45,000 * 0.075 * 5 Interest = $16,875Get the amount;
Amount = $45,000 + $16,875Amount = $61,875Calculate the monthly payment:
Monthly payment = Amount/60Monthly payment = $61,875/60Monthly payment = $1,031.25Hence the monthly payment if you could get a 60-month loan at 7.5% APR is $1,031.25
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Don't answer this question
Answer:
Ok
Step-by-step explanation:
( I will give brainliest! ) What is the simplified expression of
4x + 2(3x + 7) - 7x?
Answer:
[tex]3x + 14[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]4x + 2(3x + 7) - 7x[/tex]
[tex]4x + (2 * 3x) + (2 * 7) - 7x[/tex]
[tex]4x + 6x + 14 - 7x[/tex]
Step 2: Combine like terms
[tex]4x + 6x + 14 - 7x[/tex]
[tex](4x + 6x - 7x) + 14[/tex]
[tex]3x + 14[/tex]
Answer: [tex]3x + 14[/tex]
Bethany posts a lit selfie yo, and she receives 49 likes in the first 7 minutes. At this rate, how many likes will she have in 10 minutes?
Answer:
70 likes
Step-by-step explanation:
49 likes / 7 minutes = 7 likes / minute
10 minutes * 7 likes / minute = 70 likes / 10 minutes
Captain Brewster captured a pack of aliens. The following data points represent the lengths of each of the aliens' big toes (in centimeters). 18, 16, 17, 17, 16, 15, 16. Using this date, create a dot plot where each dot represents a big toe.
Answer:
15 ·
16 ···
17 ··
18 ·
19
Step-by-step explanation:
There were 2 aliens that each have big toes measuring 17 cm long. So, the 17 would have 2 dots above it:
17 ··
What is the 24th term in the sequence 1, 3, 5, 7
Answer:
47
Step-by-step explanation:
Each new term is the previous term +2.
1st term = 1
5th term = 9
10th term = 19
15th term = 29
20th term = 39
25th term = 49 - 2 = 47 = 24th term
Given f(x)=9-2x, find f(10).
A.-11
B.11
C.29
D.-29
Answer:
the answer is A
Step-by-step explanation:
9-2(10) 9-20
The given function is a linear function that decreases as the value of the
input x increases.
The value of f(10), given f(x) = 9 - 2·x is option A. -11Reasons:
The given function is f(x) = 9 - 2·x
The output of the function is the value of f(x) for a given input x of the function.
The input value, x is substituted into the function to obtain the output value, f(x).
Given that the input, x = 10
We have;
f(10) = 9 - 2×10 = -11
Therefore, the correct option for f(10) is A. -11
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5x+6 ?? please help 8th grade math work
Answer:
5x + 6 = 0
5x = - 6
x = - 6/5
-6/5 is the answer
Which inequality does the graph represent?
Answer:
x < -y + 1
Step-by-step explanation:
Given p(x) = x4 – 13x2 – 25x – 12.
A) Use long division to determine the remainder when p(x) is divided by (x2 – 4)? Show all of your work for full credit.
B) Use mathematical methods to prove that your quotient and remainder are correct. Show all of your work for full credit.
Answer:
Below.
Step-by-step explanation:
p(x) = x^4 - 13x^2 – 25x – 12
Long division:
x^2 - 4)x^4 - 13x^2 – 25x – 12( x^2 - 9 <-------- Quotient
x^4 - 4x^2
Subtract: -9x^2 - 25x
-9x^2 + 36
-25x - 36 - 12
So the remainder is -25x - 48 (Answer).
B) If the above are correct then:
(x^2 - 4) * quotient + remainder = the original form of p(x).
(x^2 - 4)(x^2 -9) - 25x - 48 = the original p(x).
p(x) = x^4 - 9x^2 - 4x^2 + 36 - 25x - 48
= x^4 - 13x^2 - 25x -12 = original p(x)
How do I rewrite the improper fractions as a mixture number? Please explain step by step to get marked as brainliest
Answer:
1) Divide the numerator by the denominator.
2) Write down the whole number result.
3) Use the remainder as the new numerator over the denominator. This is the fraction part of the mixed number.
Step-by-step explanation:
not sure of this will help... but hope it does!
Answer:
Explained below :)
I tried my best to explain, sorry if it doesn't make sense
Step-by-step explanation:
Example problem: 11/4 (Mixed number)
1: 11 divided by 4 = 2 (whole number) with a remainder of 3
( Numerator divided by denominator) (Don't turn the number into a decimal leave the remainder)
2: Take the remainder and put it over the denominator 3/4
3: Whole number beside the remainder over the denominator
Your answer would be 2 3/4
Find the product of 5 and 539.
Answer:
Step-by-step explanation:
5*539=2695The product of 5 and 539 is 2695
What does it mean to find the product of numbers:Finding the product of numbers simply means multiplying 2 or more numbers.
Therefore, the product of 5 and 539 can be done as follows:
5 × 539Multiplication or product sign is denoted as ×.
Therefore,
5 × 539 = 2695
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At the restaurant, Gordon packed 8 orders with 4 items per order
in the morning. In the afternoon, he packed 6 orders with 7 items
per order.
Answer:
what is the question?
Step-by-step explanation:
The simplified equation after clearing the decimals is
-12.2 + 2.8w - 8.8 = 1.05w
Answer:
-21=-4w
w=5.25
but you don’t want decimals
so- you round down
w=5
Step-by-step explanation:
You combine like terms, and then make sure your variable is alone, the only way to get it alone from a ”mixed number” is to divide
you do the same thing to both sides
so divde each side by -4
-21/-4 = 5.25
or with it rounded down since it’s under a five
It’s 5 with the decimals removed
i hope this helps
Evaluate. Express your answer in scientific notation.
4.36 x 104 – 41, 600
Answer: 3.456 × 1011
Step-by-step explanation:
Three polygons have been divided
into triangles by drawing a
segment from one vertex to all nonadjacent vertices. If n is the
number of sides in the polygon, which expression shows the
number of triangles created by each polygon?
A.n
B.(n + 2)
C.(n - 2)
D.3n, 4n, 8n
The relationship between the sides of the polygon and the triangle follows an arithmetic sequence
The expression that represents the number of triangles is (c) n - 2
From the diagrams, we have:
Sides Triangles
5 3
6 4
8 6
The above can be represented as functions as follows:
[tex]f(5) = 3[/tex]
[tex]f(6) = 4[/tex]
[tex]f(8) = 6[/tex]
Express 6 as 8 - 2
[tex]f(8) = 8 - 2[/tex]
Express 8 as n
[tex]f(n) = n - 2[/tex]
So, the expression that represents the number of triangles is (c) n - 2
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MCQS:
Solve for X: X-3 = 27/64
A. 42
B. 43
C. 34
D. 14
Answer:
219/64
Step-by-step explanation:
x - 3 = 27/64
64(x - 3) = 27
64x - 192 = 27
64x = 27 + 192
64x = 219
x = 219/64
Answer:
[tex]x = 3.4218[/tex]
Step-by-step explanation:
[tex]x -3=\frac{27}{64}[/tex]
[tex]64(x-3)=27[/tex]
[tex]64x-192=27[/tex]
[tex]64x=27+192[/tex]
[tex]64x=219[/tex]
[tex]\frac{64x}{64} =\frac{219}{64}[/tex]
[tex]x = 3.4218[/tex]
Hope this helps you :-)
Let me know if you have any other questions :-)
A scientist crosses two pea plants that are
heterozygous for plant height and flower
color. Tall is dominant over short and purple is
dominant over white. The plant height and
Flower color genes are unlinked. Complete the
information below and the Punnett square.
Then answer the questions below.
The Punnett square is a diagram divided into squares that is used to determine genotypes.
The question is incomplete, as the required details such as the characters that represent the plant heights and the flower colors are not given.
So, I will give a general explanation instead.
Assume the plants that are crossed are represented as: TT and Tt.
The possible genotypes would be TT, TT,Tt and Tt
In the above list of genotypes, genotype T is dominant over genotype t
See attachment for an illustration of the Punnett square.
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Out of 250 million cars on the road in US, about 3.5% are diesel. What percentage are not diesel?
Answer:
96.5%
Step-by-step explanation:
Answer:
241250000 cars aren't diesel (Basically 96.5%)
Step-by-step explanation:
250 million = 250000000
If we are talking about the percentage of cars that aren't diesel, we have two ways of solving this. (I'm gonna solve for not just percentage but for amount too)
1. Find out the percentage that isn't diesel by subtracting 3.5% from 100% and then multiplying the answer to get the result.
or
2. We find out what 3.5% of 250 million is and then subtract that from 250 million
Now to make this short, I will do the first one.
100-3.5 = 96.5
96.5% x 250,000,000 = 241250000
John finished his English assignment in 1/3 hours. Then he completed his chemistry assignment in 2/5 hours. What was the total amount of time John spent doing these two assignments?
these two assignments?
Answer: 11/15 hours
Step-by-step explanation:
Find LCD (lowest common denominator)
1/3=5/15
2/5=6/15
6/15+5/15=11/15 hours or 44 minutes
It is for my final, please help!
Answer:
The answer will be the third one.
Step-by-step explanation:
Hope it helps
Write down three integers, all less than 25, whose
• range is 10, and
• mean is 13.
The three integers are
Answer: 9 11 19
Step-by-step explanation
9 11 19
Answer:
18 and 8
Step-by-step explanation:
Range= 18-8
Mean=(18+8)/2=13