Answer:
128 miles
Step-by-step explanation:
The number of miles Amy's parents drove altogether is 128 miles.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Amy's dad drove 3 miles for every 5 miles her mom
drove.
So, the ratio is 3:5
Amy's mom drove 32 more miles than her dad
Let number mile Amy's father drove be x and then the number of miles Amy's mom drove will be x+32
Here, x/(x+32) =3/5
5x=3(x+32)
5x=3x+96
2x=96
x=48
So, x+32=80
Then, total distance is 80+48=128 miles
Therefore, the number of miles Amy's parents drove altogether is 128 miles.
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https://brainly.com/question/14686792.
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Solve for (-8/5) x - 6 = -54
Answer:
x=30
Step-by-step explanation:
-8/5 - 6 = -54
-8x/5 - 6 = -54
-8x/5 − 6 +6 = -54 plus 6
Then Add the numbers and simplify
so then the answer would be x=30
Answer: x=30
Step-by-step explanation:
32. The price of a box of tarts is $1 cheaper than that of a loaf of bread. If 3 times the price of a
loaf of bread is $29.5 more than half of the price of a box of tarts, find the price of a box of
tarts.
A. $4.3
B. $7.7
C. $9.84
D. $13
Answer: $8.60
Step-by-step explanation:
Let the price of a bread = x
Let the price of a tarts = x - 1
If 3 times the price of a loaf of bread is $29.5 more than half of the price of a box of tarts. This can be represented as:
3 × x = 1/2 × (1 - x) + 29.5
3x = 0.5 - 0.5x + 29.5
3x + 0.5x = 29.5 + 0.5
3.5x = 30
x = 30/3.5
x = 8.6
Tina contributes 9.5% of her monthly salary towards her 401(k) and her employer matches her contribution up to 5.4% of her annual salary. If the interest rate of her 401(k) is 8.1% compounded monthly and her monthly salary is $2,461, determine the amount in her account after 25 years. Round to the nearest cent.
a.
$339,804.33
b.
$354,452.86
c.
$344,941.24
d.
$347,269.59
Please select the best answer from the choices provided
A
B
C
D
Answer:
In 25 years, Tina will have $354,452.86
Step-by-step explanation:
Monthly Contribution - $366.69 (Tina & Employer)
Length of Time in Years - 25
Estimated Interest Rate - 8.1%
Compound Frequency - Monthly
what's the perimeter of a triangle with sides 2 inches, 3 inches, and 4 inches in length?
Answer:
maybe 9
Step-by-step explanation:
Factor this polynomial completely.
x^2-8x+16
A. (x-4) (x-4)
B. (x+4) (x+4)
C. (x-4) (x+4)
D. Does not factor
Answer:
(x-4) (x-4)
Step-by-step explanation:
foil [first, outside, inside, last]
x^2 -8x = 16
(x-4) (x-4) = x^2 -4x -4x +16 = x^2 -8x +16
Answer: (x-4) (x-4)
Step-by-step explanation:
I have done this before!
Whats 6 X 1 X + 5 X 1/10 in standard form and someone pls
Please answer asap!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x = 90
Step-by-step explanation:
The 90-degree angle and "x" form a straight line. The degree measurement of a straight line is 180. That means that if one adds 90 and "x", they will get 180, and therefore, x equals 90.
Gabriel lives and works in Michigan, which has a flat state income tax of
4.25%. If his annual salary is $69,255 and he gets paid once a month, how
much is withheld from his gross income for state income tax each pay
period?
Answer:4,050
Step-by-step explanation:
Withholding Rate: 4.25% | Personal Exemption: $4,400 | 2019 Michigan Income Tax Withholding Tables. Withholding Rate: 4.25% | Personal Exemption: $4,050 | 2019 Michigan Income Tax Withholding Tables.
if h(x)=0 then does h([tex]x^{2}[/tex])= 0
TRUE or FALSE?
Answer:
true
Step-by-step explanation:
Which expression is equal to (x+2)(x−4)(x−4)(x+4)?
x+2x+4
x−2x+4
x−2x−4
x+4x+2
Answer:Since the expression on each side of the equation has the same denominator, the numerators must be equal.
x
2
=
16
Take the square root of both sides of the equation to eliminate the exponent on the left side.
x
=
±
√
16
The complete solution is the result of both the positive and negative portions of the solution.
Tap for more steps...
x
=
4
,
−
4
Exclude the solutions that do not make
x
2
x
−
4
=
16
x
−
4
true.
x
=
−
4
Step-by-step explanation:
(-30i) +(52-30i) express your answer in the form (a+bi)
Step-by-step explanation:
-30i + 52 - 30i
= 52 - 60i.
Here a is 52 and b is -60.
Determine which car gets the better gas mileage. Car A: Distance (miles) 400 Gallons used: 12 Car B: Distance (miles) 440 Gallons used: 15
So on one galon of gas car A would travel 33 1/3 miles, while car B would travel 29 1/3 miles. Answer: Car A
A: 400 / 12 = 33 1/3
B: 440 / 15 = 29 1/3
please help me i need help i'll help you if you help me !
i will mark you as brill
Answer:
See Explanation
Step-by-step explanation:
Required
Write three equivalent ratios
To solve these questions, we do the following:
Whatever is being applied to a part of the ratio must be done on the other part
Solving (9):
[tex]Ratio = \frac{2}{7}[/tex]
Multiply through by 2
[tex]Ratio = \frac{2*2}{7*2} = \frac{4}{14}[/tex]
Multiply through by 3
[tex]Ratio = \frac{2*3}{7*3} = \frac{6}{21}[/tex]
Multiply through by 5
[tex]Ratio = \frac{2*5}{7*5} = \frac{10}{35}[/tex]
Hence, the equivalents are: [tex]\frac{4}{14}, \frac{6}{21}, \frac{10}{35}[/tex]
Solving (10):
Ratio = 1.5 to 3.5
Multiply by 2
[tex]Ratio = 1.5 * 2\ to\ 3.5 * 2[/tex]
[tex]Ratio = 3\ to\ 7[/tex]
Multiply by 3
[tex]Ratio = 1.5 * 3\ to\ 3.5 * 3[/tex]
[tex]Ratio = 4.5\ to\ 10.5[/tex]
Multiply by 4
[tex]Ratio = 1.5 * 4\ to\ 3.5 * 4[/tex]
[tex]Ratio = 6\ to\ 14[/tex]
Hence, the equivalents are: 3 to 7, 4.5 to 10.5 and 6 to 14
Solving (11):
Ratio = 6.25 to 1.25
Divide by 5
[tex]Ratio = 6.25/5\ to\ 1.25/5[/tex]
[tex]Ratio = 1.25\ to\ 0.25[/tex]
Multiply by 2
[tex]Ratio = 6.25*2\ to\ 1.25*2[/tex]
[tex]Ratio = 12.5\ to\ 2.5[/tex]
Multiply by 4
[tex]Ratio = 6.25*4\ to\ 1.25*4[/tex]
[tex]Ratio = 25\ to\ 5[/tex]
Hence, the equivalents are: 1.25 to 0.25, 12.5 to 2.5 and 25 to 5
Solving (12):
[tex]Ratio = 3 : 3\frac{1}{2}[/tex]
Multiply by 2
[tex]Ratio = 3 *2: 3\frac{1}{2}*2[/tex]
[tex]Ratio = 6: 7[/tex]
Multiply by 4
[tex]Ratio = 3 *4: 3\frac{1}{2}*4[/tex]
[tex]Ratio = 12: 14[/tex]
Multiply by 6
[tex]Ratio = 3 *6: 3\frac{1}{2}*6[/tex]
[tex]Ratio = 18: 21[/tex]
Hence, the equivalents are: 6:7, 12:14 and 18:21
Solving (13)
[tex]Ratio = 1\frac{2}{3} : \frac{5}{4}[/tex]
Convert mixed fraction to improper fraction
[tex]Ratio = \frac{5}{3} : \frac{5}{4}[/tex]
Multiply by 2
[tex]Ratio = \frac{5}{3}*2 : \frac{5}{4}*2[/tex]
[tex]Ratio = \frac{10}{3} : \frac{5}{2}[/tex]
Multiply by 3
[tex]Ratio = \frac{5}{3}*3 : \frac{5}{4}*3[/tex]
[tex]Ratio = 5 : \frac{15}{4}[/tex]
Multiply by 12
[tex]Ratio = \frac{5}{3}*12 : \frac{5}{4}*12[/tex]
[tex]Ratio = 20 : 15[/tex]
Hence, the equivalents are: 10/3:5/2, 5 : 15/4, and 20:15
Will give Brainliest! Please answer quickly! :) M'N'O'P' has vertices at M'(5, 4), N'(6, 4), O'(6, 7) and P'(3, 7). THe center of dilation is the origin, MNOP has vertices at M(4.5, 6), N(9, 6), O(9, 10.5) and P(4.5, 10.5). What is the algebraic representation of this dilation?
a
(x, y) --> (1/2x, 1/2y)
b
(x, y) --> (3/2x, 3/2y)
c
(x, y) --> (2/3x, 2/3y)
d
(x, y) --> (1/3x, 1/3y)
Answer:
It might be b
Step-by-step explanation:
I think it is B
a. The sum of a number and one is equal to one added to the number.
Find the height of an equilateral triangle with side length 8.
Answer:
4 root 3
Step-by-step explanation:
formula of height equalitral triangle:
side/2 root 3:
side = 8
8/2*root 3
4 root 3
Percent is always out of _________ ?
Answer:
Percent is always out of 100
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
Simplify 6(5x-1)-3(2x-10)
Answer:
30x-6-6x-30
30x-30x-6-6
0-12
-12
A sports store marks up t shirts it sells by 60% if the store bought a t shirt for 6.25 what will be the retail price
Answer:
I believe its 3.75
Step-by-step explanation:
Answer:
$10
Step-by-step explanation:
6.25×60% = 3.75
3.75+6.25 = 10
$10
Which is the better buy? 22 vitamins for $2.00 at Rite Aid or 40 Vitamins for $3.00 at CVS. Explain why
Answer:
40 for $3
Step-by-step explanation:
you get an extra 18 for $1:00 here if you got 2 of each 22+22 is 44 for $4 40+40 is 80 for $6
hope this helps
I GIVEEE BRAINLILSTTT
Answer:
edfsefesfwefwefwf
Step-by-step explanation:
fwefewfweefwefwefwefewfwefwefwefwef
2x + 5/4 = -5 -4x/12
Solve for x to make the proportion true.
Match each equation to its solution
Step-by-step explanation:
First one on the left = Second one on the right
Second one on the left = First one on the right
Third one on the left = Third one on the right
solve 3^y = 12 and
find y
Answer:
3^y = 12Take the logarithm of both sides of the equation to remove the variable from the exponent. Exact Form:y = [tex]\frac{ln 12}{ln 3}\\\\\\[/tex] = (ln 12)/(ln 3)y = 2.261If you multiply a number by 3 and then subtract 5, you will get 40. What is the number?
Answer:
15
Step-by-step explanation:
Solve the problem backwards and it gives you the answer. Hope this helps
Write the equation of an ellipse with the following characteristics: center =(1,-3) vertices=(-6,-3),(8,-3)
Foci =(-4.7,-3),(6.7,-3)
Answer:
(x-1)²/49 + (y+3)²/16.51 = 1
Step-by-step explanation:
vertex (8,-3) Foci (6.7,-3) center (h,k) = (1,-3) , major axis parallel to x axis
a is the distance of the vertex from the center, and c is the distance of the foci from the center. b is semi-minor axis
b² = a² - c² Ellipse equation: (x-h)²/a² + (y-k)²/b² = 1
a = 8-1 = 7 c = 6.7 - 1 = 5.7
b² = 7² - 5.7² = 16.51
Ellipse equation: (x-1)²/49 + (y- -3)²/16.51 = 1 i.e. (x-1)²/49 + (y+3)²/16.51 = 1
The following data is from a simple random sample of 12 students GPAs. 3.12 2.45 4.0 3.76 3.54 2.78 3.39 3.21 1.98 3.43 3.98 2.77 Develop a point estimate of the population mean.
Answer: 3. 2
Step-by-step explanation:
Given the data:
3.12 2.45 4.0 3.76 3.54 2.78 3.39 3.21 1.98 3.43 3.98 2.77
Point estimate of population mean :
Σx / N
(3.12 + 2.45 + 4.0 + 3.76+ 3.54 + 2.78 + 3.39 + 3.21 + 1.98 + 3.43 + 3.98 + 2.77)
= 38.41 / 12
= 3.2008
What is the simplified form of the following expression?
Which is the product of 11/12 and 4
Answer:
3.66666666667
Step-by-step explanatio
And that's the end of animes history
Answer:
Whats your question?
Step-by-step explanation: