Answers
Related Questions
A car rents for $40 per day plus 21¢ per mile. You are on a daily budget of $82. What mileage will allow you to stay within your budget?
Answers
Answer:
less than or equal to 200 miles
Step-by-step explanation:
let 'm' = mileage
0.21m + 40 ≤ 82
subtract 40 from each side to get:
0.21m ≤ 42
divide each side by 0.21 to get:
m ≤ 200
The temperature of a substance in an experiment changes by −8.7°F from 10 a.m. to 1 p.m. At 5 p.m., the temperature is 33.5°F. It is 2/3 of what the temperature was at 1 p.m. What was the temperature at 10 a.m. of the substance? Enter your answer as a decimal in the box.
PLS HELP
Answers
The temperature of the substance at 10am = 63.95°F
Let the temperature at 10 am be x
The temperature changes by −8.7°F from 10 a.m. to 1 p.m
The temperature at 1 pm = x - 8.7
At 5 p.m., the temperature is 33.5°F
The temperature at 5 pm = 33.5°F
The temperature at 5 pm is 2/3 of what the temperature was at 1 p.m
[tex]33.5 = \frac{2}{3} ( x-8.7 )[/tex]
Solve for x
3(33.5) = 2(x - 8.7)
110.5 = 2x - 17.4
2x = 110.5 + 17.4
2x = 127.9
x = 127.9/2
x = 63.95°F
The temperature of the substance at 10am = 63.95°F
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A triangle has side lengths of (5k - 7) centimeters, (k - 4) centimeters, and
(3m - 9) centimeters. Which expression represents the perimeter, in centimeters,
of the triangle?
Answers
Answer:
-6m and -6k
Step-by-step explanation:
(5k - 7) = -2k (k - 4) = -4k + -2k = -6k. (3m - 9) = -6m.
Expression 6k + 3m - 20 represents the perimeter, in centimeters, of the triangle which has side lengths of (5k - 7) centimeters, (k - 4) centimeters, and (3m - 9) centimeters.
1st side length = 5k - 7 centimeters
2nd side length = k - 4 centimeters
3rd side length = 3m - 9 centimeters
Now, the perimeter of a triangle is the sum of its three sides.
So, the expression representing the perimeter of the triangle would be the sum of these side lengths:
Perimeter = (5k - 7) + (k - 4) + (3m - 9)
Further, simplifying the expression by combining like terms:
Perimeter = 5k + k + 3m - 7 - 4 - 9
Perimeter = 6k + 3m - 20
So, the expression that represents the perimeter of the triangle is (6k + 3m - 20) centimeters.
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The length of the
hypotenuse of a right-
angled triangle is 7.8 cm,
correct to 1 decimal place.
One of the shorter side
lengths is 2.1 cm, correct
to 1 decimal place. Estimate
the length of the remaining
side, rounding your answer
to 1 decimal place.
Answers
Answer:
7.5 cm
Step-by-step explanation:
Since it's a right triangle, apply pythegorean theorem
Let the missing side be x
[tex] {7.8}^{2} = 2.1 { }^{2} + x {}^{2} [/tex]
[tex]60.84 = 4.41 + {x}^{2} [/tex]
[tex] {x}^{2} = 60.84 - 4.41[/tex]
[tex] {x}^{2} = 56.43[/tex]
[tex] \sqrt{ {x}^{2} } = \sqrt{56.43} [/tex]
[tex]x = 7.5[/tex]
Therefore, the length of the missing side is 7.5 cm
Which set of ordered pairs lies along the same vertical line?
Answers
Answer:
All ordered pairs with the same x value
Step-by-step explanation:
A vertical line can be represented by the equation x=k for some value k. So any pair with x value equal to k satisfies the equation and is thus in the set
Gabby read 98 pages of a book then stopped. She later decided to continue the book and read 37 more pages every day.
Let d represent the number of days since Gabby decided to continue the book and p represent the total number of pages of the book she had read.
Answers
Answer:
number of days = 3
total number of pages=135
Step-by-step explanation:
98÷49= 2
37=1 day
total number of days=3days
Total number of pages read=135 pages
Which of the following could be a helpful first step in solving this equation for q?
p2q+2q=11
Question 5 options:
Combine p2q+2q
Divide the whole equation by 11.
Divide the first term by p2
Factor a q out of p2q+2q
Answers
Answer:
D: Factor a q out of p^2 q+ 2q
Step-by-step explanation:
I took the test. Hope it was helpful! :)
The first step in solving this equation p²q+2q=11 for q will be to factor q out of p²q+2q. Option D is correct.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, the equation is,
p²q+2q=11
Take q common from the L.H.S as
q(p²+2)=11
The value of q is obtained by rearranging the equation as,
q=11/(p²+2)
The value of q obtained after solving the equation p²q+2q=11 will be q=11/(p²+2).
Thus, the first step in solving this equation p²q+2q=11 for q will be to factor q out of p²q+2q. Option D is correct.
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How do I do this problem?
Answers
Answer:
hey you can use scan and search
Answer:
I got : 0.42264973
Step-by-step explanation:
1/ -√3 + 1
-√3 = -1.73 ( 2 decimal place )
1/ -1.73 + 1
and found the answer
Need the answer to this pls
Answers
Answer:
b
Step-by-step explanation:
y=-1/4 x -3
yo if someone helps me with this ill give u brainliest
Answers
Answer:
Step-by-step explanation:
a 15090
b 4255
c dairy heifers and bulls
d 9975/15090
e how many steers there are compared to bulls
Answer:
a) 15,090, addition
b) 4,255, subtraction
c) bulls and beef heifers for breeding
d) 5115/15,090 or 15/90
e) How many more calves are there than steers?
3930
Step-by-step explanation:
help me please !!!!!!
KS3 YEAR 8 maths!
super confused ♀️♀️
Answers
Answer:
9:29pm
Step-by-step explanation:
What is the value of point P?
Answers
Answer:
-8
Step-by-step explanation:
Because it moved 2 to the right.
Answer:
-8
Hope this helps :)
There are 16 girls and 14 boys in Mr. Chay's class. This ratio holds true for the entire school. If there are 1500 students, how many girls attend the school?
Answers
Answer:
Step-by-step explanation:
16/(16 + 14) = XX/1500
1500(16) = 30XX
XX = 800 girls
answer:TThe ratio of boys to girls is 12 to 16, 12:16 or 12/16 (all different ways this can be written). The fraction form 12/16 can be reduced by dividing
I need help I don’t understand this
Answers
Answer:
i need help I 6understand
Which of the following is the perimeter of a triangle with side lengths of 8 in, 9 in, and 11 in?
Answers
Answer:
the one with the perimeter of 28 inStep-by-step explanation:
To calculate the perimeter of a triangle, add the length of its sides.
8 + 9 + 11 = 28in
There are two mystery numbers. The sum of 7 times the first number and 8 times the second number is 22. The sum of 5 times the first number and 8 times the second number is 18. What are the two numbers?
Answers
Based on the information given, the value of the two numbers will be 2 and 1 respectively.
Let the first number be aLet the second number be bThe equation to solve the question will be:
7a + 8b = 22 .... i
5a + 8b = 18 ..... ii
Subtract equation ii from I
2a= 4
a = 4/2
a = 2
Therefore, 7a + 8b = 22
7(2) + 8b = 22
14 + 8b = 22
8b = 22 - 14.
8b = 8
b = 8/8 = 1
Therefore, the numbers are 2 and 1.
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A plane is pointed S 15° E, with indicated speed 500 mph. It flies through a wind
blowing N 20° E at 55 mph. Find the resultant speed and direction of the plane.
Answers
Answer:
N 2.4 ∘ W or Bearing 357.6 ∘
672.2x km/hr
Step-by-step explanation:
The hypotenuse of a right triangle is three times the length of one of its legs. The length of the other leg is four feet. Find the lengths of the three sides of the triangle. For non-integer answer(s), round your answer(s) to the nearest tenth.
___feet, ___feet, ___feet
Answers
then then then
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What temperature is halfway between:
6 and -2
Answers
Answer:
The answer is 2
Step-by-step explanation:
-2, -1, 0, 1, 2, 3, 4, 5, 6
If you remove the first 4 and the last 4 numbers you are left with 2 which is also the median / middle value. Therefore, the temperature is 2.
Plz help guys!!!!!!!!
Answers
Answer:
3
2
Step-by-step explanation:
A grain trader buys the following amounts from three suppliers: 3,200 pounds,7,200 ponds and 600 pounds. What is the total weight of hid purchase?
Answers
Answer: just simply add them and you get 11000
what is a degree 3 polynomial with integer coefficients with zeros 3, -4, 5
Answers
Which equation shows y=3x−15 in standard form?
5x−15y=−1
5x−15y=1
15x+5y=−1
15x−5y=1
Answers
Answer:
c 5x -15y =1
5x-15y=1
-5x -15y= 1 -5x change the signs on both sides of the equation
15y = -1 +5x divide both sides by 15
y = -1/15 + 1/3 x Reorder the terms
y = 3x-15
Step-by-step explanation:
Hope this helps:)
Find the area (A) of the figure below: 166) 6cm A) 18 square cm B) 35 square cm 12cm C) 72 square cm D) 144 square cm 167) 12 in A) 37.68 square inches B) 72.52 square inches C) 108.12 square inches D) 113.09 square inches
Answers
Answer:
166) C. 72 square cm 167) D. 113.09 square inches
Step-by-step explanation:
166) Parallelogram area formula is A=Base x height
A= 6 x 12
A= 72
167) Circle area formula A=πr²
r= half of diameter (12)
A=π(6)²
A=112.09
helppppppppppppppppppppppppppp
A machine cuts a strip of carpet into two pieces. The length of the smaller piece is 5 meters greater than 1/4 the length of the larger piece. If the length of the smaller piece is 12 meters, the length of the bigger piece is _____________ meters
and the total length of the carpet is _____________ meters.
Answers
Answer:
longer = 28 meters
Total = 40 meters
Step-by-step explanation:
Let the smaller piece be s,
and the longer piece be b
s = ¼b + 5
s = 12
¼b + 5 = 12
¼b = 7
b = 28 m
Total length = 28+12 = 40 meters
Josh volunteers at a library. One weekend, he put 234 returned books back on the shelves. Of those books 2/3 were hardcover books and the rest were paperback books. How many paperback books did Josh put back on the shelves?
Answers
Answer: 78 paperback books.
Step-by-step explanation:
1. Since 2/3 of the books are hardcover books, then 1/3 of the books are paperback books.
2. 234/3 = 78 books.
Answer:
78 paperback books
Step-by-step explanation:
234 x (2/3) = 156
234 - 156 = 78
the ratio of blue paint to yellow paint in a green mixtuer is 2:3. if you use 16 ounces of blue paint, haw many ounces of yellow paint do you need?
Answers
Answer:
6.4 ounces
Step-by-step explanation:
The total number of 'parts' is 5 containing 2 parts yellow and 3 parts green so if we divide 16 ounces of blue paint by the 5 parts, we can find 1 part. 1 part is 3.2. Yellow uses 2 parts so we time 3.2 by 2. The answer should be 6.4
Help me plsssssss jdhdhdhdud
Answers
Answer:
5/2
Step-by-step explanation:
c (constant of proportionality) = y/x = 5/2 in this case
if 3r = 4s, then r/s = ?
Answers
Step-by-step explanation:
[tex]3r = 4s \\ r \div s = 4 \div 3 \\ \\ \\ \\ hope \: it \: helps.[/tex]
In the given question if if 3r = 4s, This means that r is four times greater than s.
The given equation is 3r = 4s. To find the value of r/s, we can divide both sides of the equation by s. Dividing both sides of the equation by s, we get: (3r) / s = (4s) / s On the right side, the s cancels out, leaving us with: (3r) / s = 4 So, the value of r/s is 4.
An equation is a mathematical statement that states that two expressions are equal. It contains an equal sign "=" and consists of two sides: the left-hand side (LHS) and the right-hand side (RHS).
In this case, r/s represents the ratio of r to s. It indicates how many times r is greater than s. For example, if r = 8 and s = 2, then r/s = 8/2 = 4. This means that r is four times greater than s.
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PLEASE ANSWER ASAP, WILL BRAINLIESS
Answers
Answer:
Step-by-step explanation Let g be the function defined by 8(x) = f*r(t) dt. (a) Find the average rate of change of g from x = -5 to x = 5. (b) Find the instantaneous rate of change ...