Answer: | x -24 |=2
Step-by-step explanation:
Given: Mary's car can go 24 miles on one gallon of gasoline.
her gas mileage can vary by 2 miles per gallon depending on where she drives .
i.e. either 2 miles added or subtracted in the gas mileage.
i.e. -2< Gas milegae -24 <2
⇒ | Gas milegae -24 |=2
Let x represents the gas mileage.
Then, | x -24 |=2 is the required absolute value equation that you can use to find the minimum and maximum gas mileage.
10. Three kinds of teas are worth $4.60 per pound, $5.75 per pound, and $6.50 per pound. They are to be
mixed together to get 20 pounds of tea worth $5.25 per pound. The amount of $4.60 tea used is to be equal
to the amount of the other two teas combined. How many pounds of each tea should be used?
Answer:
The mass of the $4.60/lb tea that should be used in the mixture is 10 lb
The mass of the $5.75/lb tea that should be used in the mixture is 8 lb
The mass of the $6.50/lb tea that should be used in the mixture is 2 lb
Step-by-step explanation:
The parameters of the question are;
The worth of the three teas are
Tea A = $4.60/lb
Tea B = $5.75/lb
Tea C = $6.50/lb
The mass of the mixture of the three teas = 20 lb
The worth of the mixture of the three teas = $5.25 per pound = $5.25/lb
The amount of the $4.60 in the mixture = The sum of the amount of the other two teas
Therefore, given that the mass of the mixture = 20 lb, we have in the mixture;
The mass of tea A + The mass of Tea B + The mass of Tea C = 20 lb
The mass of tea A = The mass of Tea B + The mass of Tea C
Therefore;
The mass of tea A + The mass of tea A = 20 lb
2 × The mass of tea A in the mixture = 20 lb
The mass of tea A in the mixture = 20 lb/2 = 10 lb
The mass of tea A in the mixture = 10 lb
The mass of Tea B + The mass of Tea C = The mass of tea A = 10 lb
The mass of Tea B + The mass of Tea C = 10 lb
The mass of Tea B = 10 lb - The mass of Tea C
Where the mass of Tea C in the mixture = x, we have;
The mass of Tea B in the mixture = 10 lb - x
The cost of the 10 lb of tea A = 10 × $4.60 = $46.0
The worth of the tea mixture = 20 × $5.25 = $105
The worth of the remaining 10 lb of the mixture comprising of tea A and tea B is given as follows;
The worth of Tea B + The worth of Tea C in the mixture = $105.00 - $46.00 = $59.00
Therefore, we have;
x lb × $6.50/lb + (10 - x) lb × $5.75/lb = $59.00
x × $6.50 - x × $5.75 + $57.50 = $59.00
x × $0.75 = $59.00 - $57.50 = $1.50
x = $1.50/$0.75 = 2 lb
∴ The mass of Tea C in the mixture = 2 lb
The mass of Tea B in the mixture = 10 lb - x = 10 lb - 2 lb = 8 lb
The mass of Tea B in the mixture = 8 lb
Therefore, since we have;
Tea A = $4.60/lb
Tea B = $5.75/lb
Tea C = $6.50/lb
The mass of tea A in the mixture = 10 lb
The mass of tea B in the mixture = 8 lb
The mass of tea C in the mixture = 2 lb, we find;
The mass of the $4.60/lb tea that should be used in the mixture = 10 lb
The mass of the $5.75/lb tea that should be used in the mixture = 8 lb
The mass of the $6.50/lb tea that should be used in the mixture = 2 lb.
what should be added m(m-n) to get square ofm(m-n)
Answer: m²-mn
Explanation: multiply the letter outside the brackets by everything inside the brackets, so, m×m = m² and m×n = mn, altogether it is m²-mn.
What is the volume of a rectangle prism 11inches long, 6 inches wide and 3 inches high
Answer:
198 inches^3
Step-by-step explanation:
Volume of a rectangular prism = Length × width × height
Length = 11 inches
Width = 6 inches
Height= 3 inches
Volume of a rectangular prism = Length × width × height
= 11 inches × 6 inches × 3 inches
= 198 inches^3
The volume of the rectangular prism with dimensions 11 inches long, 6 inches wide, 3 inches high is 198 cubic inches
Which equation has a solution of x = 9? A. 5x=45 B. 2x=20 C. 4+x=12 D. x+7=26
Answer:
A. 5x = 45
Step-by-step explanation:
To check, substitute 9 for x in each equation.
A. 5*9 = 45
B. 2*9 ≠ 20
C. 4 + 9 ≠ 12
D. 9 +7 ≠ 26
163. The sum of an odd number and an even number is --
a) sometimes an even
b) always a prime number
c) always an odd number. d) always divisible by2
Answer:
C
Step-by-step explanation:
I would say C because,
Even + Even = Even.
Odd + Odd = Odd.
So simply, you can't have an even number if you add it to a odd.
Even + Odd = Odd
awnser.
c. aleays an odd number
The amount of water in reservoirs is often measured in acre-ft. One acre-ft is a volume that covers an area of one acre to a depth of one foot. An acre is 43,560 ft2. Find the volume in SI units of a reservoir containing 46.0 acre-ft of water.
Answer:
56740.15908m³
Approximately to the nearest whole number, the volume of 46 acre-ft of reservoir = 56740m³
Step-by-step explanation:
1 meter = 3.28084ft
1 acre = 43,560 ft²
Therefore, using our unit conversion, the volume in S.I units of a reservoir containing 46 acre- ft of water is calculated as :
46 acre - ft × (1 meter/3.28084ft) × (43,560ft²/1 acre) × (1 meter/3.28084ft)²
= 2003760/35.314670112
= 56740.15908m³
Approximately to the nearest whole number, the volume of 46 acre-ft of reservoir = 56740m³
Point N is between M and R. If MN = 25 in, and NR = 12 in, then what is the length of MR?
Dose every positive real number
also have both a positive and negative cube root?
Answer:
Any real number will have only one real cube root. Hence the technicalities associated with the principal root do not apply.
Step-by-step explanation:
Let k(x) = 3(x-4) and m(x) = x^2 + 3x + 1. find k(x) + m(x)
Help??? WILL MARK YOU BRAINLIEST
Answer:
13) Luis is wrong because he read the 80* as if his starting point was P. He needs to now take away 45 because that is the angle PTQ.
14) 165* I'm pretty sure because you just do 45 plus 60 since the centred one would only have a view of 45 from what I understand and the other two still have a view of 60 each. Total is 165.
Answer:
8. AC = 29
x = 6
AB = 6
9. BC = 15
3x = 15
x = 5
BD = 3x +4x-13
= 22
10. <PTR = 80
11. < PTQ = 45
12. <QTS = 130 - 45 = 85
13. Luis didn't subtract 80 by 40
14. 180
What is the first step in isolating the variable x?
X/Y - Z = W; for X
Answer:
X = Y(W + Z)
Step-by-step explanation:
X/Y - Z = W
X/Y = W + Z
X = Y(W + Z)
36. Find the circumference of a circle with a radius of 8 kilometers. Use 3.14 or for T.
37.Find the area of a circle with a diameter of 26 inches. Use 3.14 or for T.
Answer:
36. 58.34
37. 530.66
Step-by-step explanation:
36. 2x3.14x8=7.28x8=58.34
so 36=58.34
37.
3.14x26/2=3.14x13x13=530.66
please brainly
Ummm sooo I’m really confused and it’s due tomorrow please help me
Answer:
75
Step-by-step explanation:
If the triangles are similar, it means the ratio between the two give sides is the same. As seen from the smaller triangle the ratio of the two top sides would be 16:50 or 8:25.
Since the first side of the bigger triangle (24) is three times 8 (it's ratio side), then the other side must be 3x25 = 75, which maintains the ratio 8:25 between the two sides (24:75).
Hope this helped!
In how many ways can the letters in the word spoon be arranged?
24
30
60
120
Explanation:
There are 5 letters, so there would be 5! = 5*4*3*2*1 = 120 different permutations; however, there are 2 letter 'o's meaning we have double counted. To correct this, divide by 2 to get 120/2 = 60.
If there was a way to tell the two 'o's apart, then the answer would be 120.
The total number of ways the letter in the word "spoon" can be arranged is 120 and this can be determined by using the given data.
Given :
Word -- Spoon
The following steps can be used in order to determine the total number of ways the letter in the word spoon is arranged:
Step 1 - According to the given data, the word is 'spoon'.
Step 2 - The total number of letters in the word 'spoon' is 5.
Step 3 - So, the total number of ways the letter in the word "spoon" can be arranged is:
[tex]= 5 \times 4\times 3\times 2 \times 1[/tex]
Step 4 - Simplify the above expression.
= 120
Therefore, the correct option is D).
For more information, refer to the link given below:
https://brainly.com/question/1216161
9–5(x+4)=3(2–x) heeelppp. btw answer not 12
Answer:
9-5[x+4] = 16 , 3[2-x] = 3
Step-by-step explanation:
6 = a divided by 4 + 2
Answer:
36
Step-by-step explanation:
x/4 + y/5 = 2 and x/2 + y = - 3. Solve for x and y
Answer:
A) x/4 + y/5 = 2
B) x/2 + y = - 3
Step-by-step explanation:
We multiply A) by -4 and B) by 2
A) -x - 4/5 y = -8
B) x + 2y = -6 then add A) and B)
1.2y = -14
y = 11 (2/3) = -11.6666666...
x + 2y = -6
x = -6 -2*-11.6666666
x = -23.3333332
Owen made 60% of the shoys he attempted during his hockey practice he made 18 shots how many shots did owen attempt during hocjey pratice
The formula for the speed of a tsunami in deep water is v=gh−−√ , where g is acceleration due to gravity, 9.8 m/s2 , and h is the depth of the ocean in meters. Use this formula to estimate the speed at which the tsunami that started with an earthquake in Sumatra struck Sri Lanka about 1550 km away. The Bay of Bengal is 4 km (4000 m) deep.
Answer:
v = 200 m/s
Step-by-step explanation:
The formula for the speed of a tsunami in deep water is given by :
[tex]v=\sqrt{gh}[/tex]
Here,
g is acceleration due to gravity
h is the depth of the ocean in meters.
We need to find the speed at which the tsunami that started with an earthquake in Sumatra struck Sri Lanka about 1550 km away. The Bay of Bengal is 4 km (4000 m) deep.
It means we need to find v if h = 4000 m
So,
[tex]v=\sqrt{10\times 4000}\\\\v=200\ m/s[/tex]
So, the speed of the tsunami is 200 m/s.
Determine the intercepts of the line. −5x+9y=−18
Answer:
try using desmos its a graphing calculator
Step-by-step explanation:
Answer:
x intercept = (3.6, 0)
y intercept = (0, -2)
Step-by-step explanation:
i did this on khan academy so it's easy
you're welcome
If f ( n ) = n 2 - 2 n , then f (2) = 0. True False
Answer:
False
Step-by-step explanation:
..............
Answer:
True
Step-by-step explanation:
Simplifying non-perfect square roots [tex]\sqrt{48}[/tex]
Can someone please help to explain this?
Answer:
[tex]\frac{PQ}{DE}[/tex] = [tex]\frac{4}{6}[/tex]
Step-by-step explanation:
Given
Δ PQR ~ Δ DEF
Then the ratio of corresponding sides are equal
The corresponding letters in the names of the triangles gives the corresponding sides.
Thus PQ/DE, QR/EF, PQ/DF
In this case
[tex]\frac{PQ}{DE}[/tex] = [tex]\frac{4}{6}[/tex]
5k +13=93
k =-5; k = 16;k = 22
awnser:
k= 75
5+13= 18 = k
and your trying to get to 93 so 75+18=93 so
75=k
Step-by-step explanation:
Select the correct answer.
Which graph represents the solution to this inequality?
-(127 + 8) < -21 + 11
OA. tt
-17
-15
-13
-11
-9
7
-5
+
-17
- 15
- 13
-11
-9
-7
-5
Oc.
+
-17
- 15
-13
- 11
-9
7
-5
C
-17
-15 -13
-11
-9
-7
-5
Answer:
C
Step-by-step explanation:
Given
- [tex]\frac{1}{4}[/tex] (12x + 8) ≤ - 2x + 11 ← distribute parenthesis on left side
- 3x - 2 ≤ - 2x + 11 ( add 3x to both sides )
- 2 ≤ x + 11 ( subtract 11 from both sides )
- 13 ≤ x , thus
x ≥ - 13
Since x can equal - 13 then a solid circle at - 13 represents the solution
Since x greater than - 13 then the arrow is facing to the right of - 13 on the number line.
Then the graph representing the solution is C
The level of various substances in the
blood influences our health. Here are
measurements of the level of phosphate
in the blood of a patient, in milligrams of
phosphate per deciliter of blood, made
on 6 consecutive visits to the clinic:
5.6, 5.2, 4.6, 4.9, 5.7, 6.4
What is the standard deviation for these
data?
A. .642
B. 5.4
O. 32.4
D. 177.02
Answer:
A
Step-by-step explanation:
Marco arranged the tiles in this way, and then wrote an expression based on his arrangement. What expression do you think Marco might have written?
Answer: 2(2a+b)^2
Step-by-step explanation:
4a+2b then squared which doubles it
What is the base 2 representation of 129?
Assuming 129 is given in base 10, notice that
129 = 128 + 1 = 2⁷ + 1
More clearly, we have
129 = 1•2⁷ + 0•2⁶ + 0•2⁵ + 0•2⁴ + 0•2³ + 0•2² + 0•2¹ + 1•2⁰
so that
129 = 1000 0001₂
(I put a space between each block of 4 bits for ease of reading)
Suppose you have 20 coins that total $3.00. Some coins are nickels and some are quarters. Which of the following pairs of equations would you use to find out how many of each coin you have?
Answer:
Step-by-step explanation:
n + q = 20
.05n + .25q = 3.00
5n + 25q = 300
n + q = 20
5n + 25q = 300
-5n - 5q = -100
20q = 200
q = 10 quarters
n + 10 = 20
n = 10 nickels
(10 nickels, 10 quarters)
help solve this for me pls
Answer:
x ( > or = ) 5/9
Step-by-step explanation:
● 2(1 + x) ( > or = ) 11 - 3x
● 2 + 2x ( > or = ) 11 - 3x
Add 3x to both sides
● 2 + 2x + 3x ( > or = ) 11 - 3x + 3x
● 2 + 5x (> or = ) 11
Substract 2 from both sides
● 2 + 5x -2 ( > or = ) 11 -2
● 5x (> or =) 9
Divide both sides by 5
● 5x/5 ( > or = ) 5/9
● x ( > or = ) 5/9