Answer:
1. Her time in minutes is 720/s minutes
2. Given her time to be 20 minutes, her speed is 36 mph
Step-by-step explanation:
Mathematically,
Distance = speed * time
In this question, we want to calculate time;
So time = distance/speed
times = 12 miles/s mph = 12/s hours
Now we want our answer in minutes
Kindly recall that 60 minutes = 1 hour
So 12/s hours will be 12/s * 60 = 720/s minutes
2. Since she drives from home to the office in in 20 minutes, we want to calculate her speed in mph
From the time calculated above i.e 720/s
We can equate 20 = 720/s
20s = 720
s = 720/20
s = 36 mph
A natural food store makes its own brand of trail mix out of dried apples, raisins, and peanuts. One pound of
the mixture costs $3.18. It contains twice as much peanuts by weight as apples. One pound of dried apples costs $4.48, a pound of raisins $2.40, and a pound of peanuts $3.44. How many ounces of each ingredient are contained in 1 pound of the trail mix?
Answer:
50.88
Step-by-step explanation:
dried apples,raisins and peanuts. One pound of the mixture is $3.18
it contains twice as much peanuts by weight than apples.
:
One pound of dried apples cost $4.48, a pound of raisins cost $2.40 and
a pound of peanuts is $ 3.44.
:
How many ounces of each ingredient are contained in one pound of the trail mix?
:
Here it is, step-by-step
:
Let a = no. of oz of apples
Let r = no. of oz of raisins
Let p = no. of oz of peanuts
:
The equation:
4.48a + 2.40r + 3.44p = 3.18(16)
:
It says p = 2a, substitute 2a for p
4.48a + 2.40r + 3.44(2a) = 3.18(16)
:
4.48a + 2.40r + 6.88a = 50.88
:
4.48a + 6.88a + 2.40r = 50.88
:
11.36a + 2.40r = 50.88
:
At this point we can say: r = (16-3a), a represents apples & peanuts here.
Substitute (16-3a) for r, solve for a;
11.36a + 2.40(16-3a) = 50.88
:
11.36a + 38.40 - 7.2a = 50.88
:
11.36a - 7.2a = 50.88 - 38.40
:
4.16a = 12.48
a = 12.48%2F4.16
a = 3 oz dried apples
then
P = 2(3)
P = 6 oz of peanuts
:
Find r:
r = 16 - 3 - 6
r = 7 oz of raisins
;
:
Check these values for a, r, p in the cost equation
4.48(3) + 2.40(7) + 3.44(6) = 3.18(16)
13.44 + 16.8 + 20.64 = 50.88; confirms our solutions
3 ounce of dried apples, 7 ounce of raisins and 6 ounce of peanuts are contained in 1 pound of the trail mix
What is Algebra?Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions.
Given:
Dried apples, raisins and peanuts.
One pound of the mixture is $3.18
it contains twice as much peanuts by weight than apples.
One pound of dried apples cost = $4.48,
raisins cost = $2.40
peanuts cost = $ 3.44.
Let x be number of oz of apples
Let y be number of oz of raisins
Let z be number of oz of peanuts
So, the equation can be written as
4.48x + 2.40y + 3.44z = 3.18(16)
As, z = 2x,
4.48x + 2.40y + 3.44(2x) = 3.18(16)
4.48x + 2.40y + 6.88x = 50.88
4.48x + 6.88x + 2.40y = 50.88
11.36x + 2.40y = 50.88
Also, y= (16-3a)
11.36x + 2.40(16-3x) = 50.88
11.36x + 38.40 - 7.2x= 50.88
11.36x - 7.2x = 50.88 - 38.40
4.16x = 12.48
x = 12.48 / 4.16
x = 3
and, z = 2(3)
z = 6
Similarly, y = 16 - 3 - 6
y = 7
Hence, 3 ounce of dried apples, 7 ounce of raisins and 6 ounce of peanuts.
Learn more about algebra here:
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Input. 1 and 4
Output -1, 1, 2, -2
Function
Not function
Answer:
Not function.
Step-by-step explanation:
Because we have more than one output for 1 or 4 input.
somebody help Find each unit rate. Round to the nearest tenth if necessary. 482 students to 20 teachers!
Answer:
24.1/1 - About 24 students per teacher
Step-by-step explanation:
what is 10X greater than 3.5
Answer:
35
Step-by-step explanation:
Hope this helps:)
Which of the following transformations to AABC would NOT preserve size and shape?
A. translation of (x - 5, y +2)
B. reflection over thex-axis
C. dilation of scale factor 2
D. rotation 90° clockwise
an algebraic expression, where "a number" is the letter x. You do not need to simplify.
{7 is subtracted from the cube of a number.}
7 is subtracted from the cube of a number.
Answer:
x^3-7
Step-by-step explanation:
The cube of a number means that it is to the power of 3 and 7 is subtracted is just the number cubed and then minus 7.
HELP ASAP
Which expression is equivalent to this polynomial?
4x^2+27
THE ANSWER IS A.
HOPE THIS HELPSSS!!!! :D
brainliest pls
The equivalent expression for the given polynomial is (2x+3√3)². Therefore, option C is the correct answer.
The given expression is 4x²+27.
What is factorisation?In mathematics, factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.
Now, 4x²+27 can be written as 2².x²+9.3
=2².x²+3².(√3)²
=(2x+3√3)²
Hence, the equivalent expression is (2x+3√3)².
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The function y = 14.75 +1.25(x - 2) can
be used to determine the cost in
dollars to play x games at a carnival. L
What is the rate of change of the cost
in dollars with respect to the number of
games played?
$2.50 per game
$1.25 per game
$14.75 per
game
$2.00 per
game
Answer:
$1.25 per game
Step-by-step explanation:
Look at the attached image. I have no idea what to do.
Answer:
(X+3)(x+2)(x-1)(x-30)
Step-by-step explanation:
Haven’t done this in a while so I may be incorrect but that’s factored form
Is 2.45454545454545... a rational or irrational number
Answer:
Step-by-step explanation:
Well if that’s the whole answer than it’s fine but i’m sure you don’t want to write that out so just round it to 2
Answer:
Yes, a repeating decimal is considered a rational number because it can be written as a fraction, so it is rational.
Step-by-step explanation:
The price of a computer was decreased by 20% to £420.
What was the price before the decrease?
£ 1
Answer:
620
Step-by-step explanation:
Cheryl earns $7.58 per h. If her regular pay last week was $272.88, how many hours did she work?
Answer:
36 hours.
Step-by-step explanation:
find the unit rate of 642 calories in 3 servings
Answer:
208 per serving
Step-by-step explanation:
642/3=208
The ages of three siblings combined is 27. The oldest is twice the age of the youngest. The middle child s three years older than the youngest. Write and solve an equation to find the ages of each sibling.
Answer:
The ages of the children are 6, 9 and 12.
Explanation:
Let x= the age of the youngest child.
If the oldest child is twice the age of the youngest, the age of the oldest child is twice x or 2x.
If the middle child is 3 years older than the youngest, the age of the middle child is x+3.
If the sum of their ages is 27, then
x+2x+x+3=27aaa(Combine like terms)
4x+3=27aaa
aa−3a−3aaa(Subtract 3 from both sides)
4x=24
4x4=24aaa(Divide both sides by 4)
Answer:
6, 9 & 12
Step-by-step explanation:
let x represent the age of the youngest kid
if the oldest kid is twice the age of the youngest, then it would be 2x
if the middle kid is 3 years older than the youngest, let this be x+3
if their ages in total is 27, then the equation is
x+2x+x+3=27
combine like terms first
4x+3=27
subtract 3 from both sides
4x=24
divide both sides by 4
you get 6. The youngest kid is 6.
For the oldest kid, the equation is 2x=2 times 6=12
the age of the middle child, equation is (x+3)=6+3=9
Hoped this helped!
Mitchell took a math exam today. If he got 63 out of 84 questions correct, what percentage did Mitchell get wrong?
Answer:
i believe 0.75%.
Step-by-step explanation:
because 63 divide by 84 equals 0.75
what is the quotient of -3/8 and -1/3
O -1 1/8
O -1/8
O 1/8
O 1 1/8
Answer:
tis d
Step-by-step explanation:
How can you determine the sign of the answer when dividing 5 integers that all have negative signs?
Answer:
it would be Negative
Step-by-step:
let take -100/-2/-1/-2/-1 (yes easy i know)
-100/-2= 50
50/-1= -50
50/-2= 25
25/-1= -25
Graph the equation: y = x + 4. Label the slope and y-intercept on your graph
Use the following information to answer question 6. Every month, your cell phone plan costs $90 and gives you unlimited talk, unlimited text messages, and 4 GB of data. The cell phone company also charges $20 for each gigabyte over 4 GB of data. Write a piecewise function that represents the situation . How much will you be charged if you use 10 GB of data?
Answer:
$90- 4GB
$20- 1GB above 4GB
so 20x6=120
and the 90
next just add 90 and 120
THE ANSWER IS 210!!!!
Help please!!! :((( thank you!
Answer: B
Step-by-step explanation: B, because lines A and C would more likely connect to B
Which is not a necessary activity in building and protecting wealth? Entry field with incorrect answer Managing cash for liquidity and emergencies Writing a will Buying property and liability insurance Investing to achieve long-term goals
Answer: Writing a Will
Step-by-step explanation:
When a will is written, it is usually in place for how a property or assets should be shared amongst a deceased family should he die. A Will is not a way or means of protecting and building wealth, rather it aids the splitting up or sharing of the wealth which have been acquired over the life time of the deceased.
Writing a will is not a necessary activity in building and protecting wealth.
This is so because the writing of a will, by itself, does not constitute an act that implies the generation or protection of assets or dividends, but rather the distribution of the same before the death of its owner.
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In the function y=-3x^2+1 what effect does the negative sign have on
the graph, as compared to the graph of Y=x^2 help please
Answer:
The negative sign in the function will make it a downward-opening parabola, and its vertex will be its highest point.
Answer:
It reflects the graph across x-axis
Step-by-step explanation:
It's a vertical reflection.
Evaluate the expression.
(5+9÷3)2
Answer:
The answer to the equation is 16
Answer:
16
Step-by-step explanation:
Simplify 9\div 39÷3 to 33.
(5+3)\times 2(5+3)×2
2 Simplify 5+35+3 to 88.
8\times 28×2
3 Simplify.
1616
Scores on the Welcher Adult Intelligent Scale (a standard IQ test) for the 20 to 34 age group are approximately normally distributed with μ=110 and σ=25. At what percentile is an IQ score of 150? (meaning at most 150, less than 150, or x ≤150). NOTE: μ is the population mean, and σ is the population standard deviation. Z= (x-μ)/σ and x is the score.Required to answer.Single choice.Immersive Reader
Answer:
94.52% or 94.52 percentile
Step-by-step explanation:
Z= (x-μ)/σ
μ is the population mean, and σ is the population standard deviation.
μ=110 and σ=25, x = 150( IQ score)
Z = 150 - 110/25
= 40/25
Z = 1.6
Probability value from Z-Table:
P(x≤ 150) = 0.9452
Converting to percentage = 0.9452 × 100
= 94.52% or 94.52 percentile
a(b + c) = a • b + a • c, where a, b, and c are real numbers
Use the distributive property to simplify the expression.
8(3 + 4) = 24 +
Answer:
56a
Step-by-step explanation:
Hi there !
8(3 + 4) =
= 8×3 + 8×4
= 24 + 32
= 56
Good luck !
Answer: 32
Step-by-step explanation: edge
Please help, idk if I am right!
yeah your right
good joobbbb
What is X , J , K , and M
Answer:
[tex]x=11\\j=54\\k=54\\m=126[/tex]
Step-by-step explanation:
The two angles [tex](11x+5)[/tex] and [tex](5x-1)[/tex] are supplementary angles, meaning that their degrees add up to 180°. To find the value of [tex]x[/tex], we can use the following equation:
[tex](11x+5)+(5x-1)= 180[/tex]
Solve for [tex]x[/tex].
[tex](11x+5)+(5x-1)= 180[/tex]
[tex](16x+4)=180[/tex]
[tex]16x=176[/tex]
[tex]x=11[/tex]
After finding the value of [tex]x[/tex], plug the values into the equations.
[tex]11x+5=[/tex]
[tex]11(11)+5=[/tex]
[tex]121+5=126[/tex]
[tex]5x-1=[/tex]
[tex]5(11)-1=[/tex]
[tex]55-1=54[/tex]
Check to make sure your angles add up to 180.
[tex]126+54=180[/tex]
To figure out the rest of our angles, we must look at the given figures. Our 54° angle ([tex]5x-1[/tex]) and [tex]j[/tex] are vertical angles. Vertical angles are congruent which means [tex]j=54[/tex]. Our 126° angle ([tex]11x+5[/tex]) and [tex]m[/tex] are also vertical angles which means [tex]m=126[/tex]. Angle [tex]j[/tex] and angle [tex]k[/tex] are alternate interior angles. Alternate interior angles are also congruent which means [tex]k=54[/tex].
[tex]j=54\\k=54\\m=126[/tex]
~Hope this helps!~
On Monday Caden bought a quitar for £8
On Tuesday he sold it for £20
On Wednesday he bought it back for £33
On Thursday he needed money for football match so he again sold his quitar,
this time for £40
Overall,did caden make or lose money?
Answer:
he made money because he would have extra left over
Step-by-step explanation:
20-8=12left over
12-33=-21
40-21=19exrtra
17 Kelly's dad compares her running times in a marathon to her times for
last year's race. He records whether she has increased or decreased her
time for the first three stages of the race. What is the total increase or
decrease in Kelly's time? Did she improve her time? Explain.
Kelly's Marathon Times
Time Comparison
Stage
(in minutes)
First
Second
->
Third
-3
Show your work.
Answer:
Step-by-step explanation:
5
Simplify the expression:2/3 / (4) - [1/6 - 8/6]
A. 1
B. 29/24
C. -24/17
D. 23/24
9514 1404 393
Answer:
A. 1
Step-by-step explanation:
[tex]\dfrac{2}{3}\div(-4)-\left(\dfrac{1}{6}-\dfrac{8}{6}\right)\\\\=\dfrac{2}{3}\cdot\dfrac{-1}{4}-\left(\dfrac{1-8}{6}\right)=\dfrac{-2}{12}-\dfrac{-7}{6}\\\\=-\dfrac{1}{6}+\dfrac{7}{6}=\dfrac{-1+7}{6}=\dfrac{6}{6}=\boxed{1}[/tex]
Answer:
It is A 1
Step-by-step explanation:
Because I did the exact same lesson as you hope it helps!!!