Answers
Answer:
32 lbs
Step-by-step explanation:
Given:
1/4 spicy trail mix
3/8 regular trail mix
20 total mix
Math:
1/4 + 3/8 = 5/8
20/ (5/8) = 32
Answer:
32 pounds
Step-by-step explanation:
Fraction of supply for regular trail mix= ⅜
Fraction of supply for spicy trial mix
= ¼
[tex] = \frac{2}{8} [/tex]
We multiply both the denominator and numerator by 2 for the fraction of supply used for spicy trail mix so that both fractions have a common denominator of 8. This is because the amount of raisins he has in his supply is constant.
Simplifying the above information into units form:
Total (supply)= 8 units
Regular trail mix= 3 units
Spicy trail mix= 2 units
Raisins used this week
= (3 +2) units
= 5 units
Since he used 20 pounds of raisins this week, we can equate 5 units to 20 pounds.
5 units ----- 20 pounds
Divide both sides by 5 to find how much raisins 1 unit represents:
1 unit ----- 20 ÷5= 4 pounds
Since his supply was 8 units of raisins,
8 units ----- 4(8)= 32 pounds
∴ He had 32 pounds of raisins at the beginning of the week.
Related Questions
Nick has $50. He just got a job as a construction worker making $10 an hour. He wants to earn enough money to buy himself a new cell phone, valued at $900. If x represents the number of hour he works, write an inequality to represent this situation. What is the minimum number of hours must he work to buy the phone?
Answers
Answer:
900[tex]\geq[/tex]50+10x; At least 85 hours
Step-by-step explanation:
Nick must make at least 900 dollars, so the amount he has + earns must be greater than or equal to 900 in order to walk out of the store with it.
50 is the amount that Nick already has, and add that to 10x, which gives $10 for every x hour.
To solve, subtract 50 from each side.
850[tex]\geq[/tex]10x
Divide by 10 to solve for x:
85[tex]\geq[/tex]x
Nick must work at least 85 hours.
5.) Dynasti works in a department store selling clothes. She makes a guaranteed salary of
$1250 per week and is paid a commission of 15% of her sales. Write an equation to model the
situation
How much money will Dynasti make if she sells $4,000 worth of clothing?
Answers
Answer: y = .15x + 1250
y = weekly salary
x = sales
Step-by-step explanation:
8xy^3*xy ^8 plsssssssssssssssssssss help
Answers
Answer:
x • (x^3 - 3x^2y + 3xy^2 + 7y^3)
Step-by-step explanation:
(8x • (y^3)) + x • (x - y)^3
2^3xy^3 + x • (x - y)^3
Evaluate : (x-y)^3 = x^3-3x^2y+3xy^2-y^3
Pull out like factors :
x^4 - 3x^3y + 3x^2y^2 + 7xy^3 =
x • (x^3 - 3x^2y + 3xy^2 + 7y^3)
x^3 - 3x^2y + 3xy^2 + 7y^3 is not a perfect cube
If a student (represented by initials) was chosen at random, find P(HH|C').
P(HH|C') = 3/5
P(HH|C') = 1/2
P(HH|C') = 2/5
P(HH|C') = 9/16
Answers
Answer: the answer is P(HHlC') = 1/2
Step-by-step explanation:
Write a quadratic function [tex]f[/tex] whose only zero is 12.
Answers
Answer:
f(x) = (x - 12)²Step-by-step explanation:
If a quadratic function has only one zero, then it has multiplicity of two as it is a second degree polynomial and should have two roots. Since one root is a real number, the second root is also a real number being same as the first number.
The function could be:
f(x) = (x - 12)²We know the rule for single zero of quadratic equations
[tex]\\ \sf\longmapsto g(x)=(x-n)^2[/tex]
[tex]\\ \sf\longmapsto g(x)=(x-12)^2[/tex]
Done
Why do you subtract when money is withdrawn
Answers
Answer:
You subtract because you're taking away money when you're withdrawing.
Answer:
Because withdrawal means taking out money from a total amount of money. That is we take away.
Determine the inverse of the function f (x) = 3(x − 4)^2 + 5.
Answers
Step-by-step explanation:
since g(f(x)) = x g (f (x) )= x, f - 1 (x) = 5x3 + 43 f - 1 (x) = 5 x 3 + 4 3
The inverse of the given function [tex]f(x) = 3(x-4)^{2} +5[/tex] is [tex]f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4[/tex].
What is the inverse of a function?An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by [tex]f^{-1}[/tex] or [tex]F^{-1}[/tex].
According to the given equation.
We have a function.
[tex]f(x) = 3(x-4)^{2} +5[/tex]
The above function can be written as
[tex]y = 3(x-4)^{2} +5[/tex]
Write the above function for x.
[tex]\implies y -5 = 3(x-4)^{2}[/tex]
[tex]\implies \frac{y-5}{3} = (x-4)^{2}[/tex]
[tex]\implies \sqrt{\frac{y-5}{3} } =x-4[/tex]
[tex]\implies \sqrt{\frac{y-5}{3} } +4=x[/tex]
[tex]0r\ x = \sqrt{\frac{y-5}{3}}+4[/tex]
Replace [tex]x[/tex] by [tex]f^{-1}(x)[/tex] and [tex]y[/tex] by [tex]x[/tex].
We get
[tex]f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4[/tex]
Hence, the inverse of the given function [tex]f(x) = 3(x-4)^{2} +5[/tex] is [tex]f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4[/tex].
Find out more information about the inverse of the function here:
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Solve for x
15/18 = x/126
Second question.
Vons sells coke in 2 different packs. is it a better buy to buy 12 cans for $4 or 36 cans for $11.50?
Third question.
A circle's circumference is 43.96 cm. what is the length of the circles diameter?
Answers
Answer:
1. x=105
2. 12 cans for $4
3. 14
Step-by-step explanation:
1. 15/18 = x/126
126/18=7
x=15*7=105
2. 12 cans for $4. 36 for $11.50.
36/3=12. 11.50/3=3.8333.
12 cans for $4 is the better deal because it would be an equal deal if it was 36 for 12:00.
3. Circumference = pi*d. Circumference = 43.96. pi=3.14. 3.14*x=43.96. x=diameter. x=14. diameter = 14
--Explanation to 3.14*x=43.96:
3.14*x=43.96, = 3.14x=43.96
3.14x*100 =43.96*100
314x=4396
314x/314 = 4396/314
x=14
Suppose Felipe has 9.24 pounds of seed if it takes 6.6 pounds of seed to plant on acre of grass how many acres of grass can be planted?
Answers
Answer:
1.4 acres of grass can be planted.
Step-by-step explanation:
He has 9.24 pounds of seeds.
If one acre of grass needs 6.6 pounds of seeds we can divide 9.24 pounds by 6.6 pounds to find how many acres of grass he can plant.
9.24 lbs × [tex]\frac{1acre}{6.6 lbs}[/tex] = 1.4 acres
write the equation of the line parallel to the given line 4x - 2y = 7
Answers
Answer:
2x+y = 3
Step-by-step explanation:
Let's take y=-2x+b through the point (1,1), so we get b is equal to 3. So this is y=-2x+3, so 2x+y=3
need help on proportions question urgently!!!!!!
Answers
Answer:
SSS~
RQP
Step-by-step explanation:
36/15 = 2.4
48/20 = 2.4
72/30 = 2.4
Triangles are similar by SSS~.
triangle JKL is similar to triangle RQP
Answer fasttt please help!!!
Answers
The graph shows the relationship between the distance a truck can travel and the amount of gasoline used.
What is the unit rate for the distance traveled to the amount of gasoline used?
Enter your answer in the box.
{?} mpg
Answers
9514 1404 393
Answer:
7 mpg
Step-by-step explanation:
The equation shown on the graph tells you the unit rate is 7. (The unit rate is the coefficient of x.)
The truck travels 7 miles per gallon of gas.
What is a unit rate $140 for 18 ft.²
Answers
Answer:
$7.78
Step-by-step explanation:
140/18 = 7.78
jamal plans to save for a new scooter that costs 48 dollars. the sales tax rate is 5% how much will jamal need to save
Answers
Which shape is simulator shape one
Answers
Answer:
B
Step-by-step explanation:
In the diagram below, angle PNO is congruent to angle PQR. RO = 7.1, PQ = 11.1, and PR= 8.9. Find the length of QN. Round your answer to the nearest tenth if necessary.
Answers
Answer:
8.9
Step-by-step explanation:
7.1/8.9=Qn/11.1
QN = 8.9
{ Parallel lines divide in proportion to their segments }
The solution is 8.9
The length of the side of the triangle PNO is QN = 8.9
What are similar triangles?
If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be ΔPNO
Let the second triangle be ΔPQR
Now , ΔPNO ≅ ΔPQR
And , The corresponding sides of similar triangles are in the same ratio
So , substituting the values in the equation , we get
RO / PR = QN / PQ
On simplifying the equation , we get
7.1 / 8.9 = QN / 11.1
Multiplying both sides of the equation by 11.1 , we get
QN = ( 7.1 x 11.1 ) / 8.9
The value of QN will be
QN = 8.85
Rounding the value of QN to the nearest tenth , we get
QN = 8.9
Therefore , the value of QN is 8.9
Hence , The length of the side of the triangle PNO is QN = 8.9
To learn more about similar triangles click :
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Which statement represents the biconditional statement of the conditional statements?
If an angle measures 90º, then the angle is right.
If an angle is right, then the angle measures 90º
1) An angle measures 90º if and only if the angle is right.
2) An angle does not measure 90º if and only if the angle is right.
3) An angle does not measure 90º if and only if the angle is not right.
4) An angle measures 90º if and only if the angle is not right.
Answers
Answer:
1
Step-by-step explanation:
It is the only one that makes sense!
(Apologies since this super late; I hope future students will find this helpful)
Answer:
An angle measures 90º if and only if the angle is right.
Step-by-step explanation:
See the image below :)
What is the domain of the relation {(0,4), (4,9), (5,2), (10,4)}
a. 0, 2, 9, 10
b. 0, 2, 4, 10
c. 0, 4, 9, 10
d. 0, 4, 5, 10
Answers
Answer:
The domain is the set of all the values of x .
The range is the set of all the values of y.
Domain:
{0,4,5,10}
Range:
{4,9,2}
Step-by-step explanation:
your answer is is from an algebra solver called mathwey but an a instead of an e it solves everything i promise i use it all the time
9x + 7
Verbal
Expression
Answers
Solve: 6x + 9 - x = 3x + 9 + x
A) One solution
B) Infinite solution
C) No solution
Answers
Answer:
A one solution
Step-by-step explanation:
write the equation through the points (0,9) and (5,13)
Answers
Answer:
4x-5y+45=0.
Step-by-step explanation:
1) formula is:
[tex]\frac{x-X_A}{X_B-X_A} =\frac{y-Y_A}{Y_B-Y_A};[/tex]
2) if point A is (0;9) and point B is (5;13), then:
[tex]\frac{x}{5} =\frac{y-9}{13-9}; \ => \frac{x}{5} =\frac{y-9}{4}; \ => \ 4x-5y+45=0.[/tex]
An arts academy requires there to be 6 teachers for every 108 students and 3 tutors for every 36 students. students How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 84 students?
Answers
13 students = 1 tutor
The academy needs 7 tutors for 84 students.
What are the two solutions of the equation x² – 14x - 32 = 0?
Answers
HI how was your day today
½x - 5 = -6
Which solution makes this equation true?
1. -12
2. -2
Answers
Let’s try x = -12
1/2(-12) - 5 = -6
PEMDAS says to multiply first
1/2 x -12 = -6
So
-6 - 5 = -6
-6 - 5 = -11 not -6 so it’s not that
Now let’s do x = -2
1/2(-2) - 5 = -6
Again, you multiply first
1/2 x -2 = -1
-1 - 5 = -6 so it works
Which of the following is a Platonic solid?
A torus
B. sphere
C. tetrahedron
D. cylinder
Answers
Answer:
c. tetrahedron
Step-by-step explanation:
3 On Monday, three hundred ninety-three students went on a trip to the zoo. All eight buses were
filled, and nine students had to travel in cars. How many students were in each bus?
Answers
Answer:
48
Step-by-step explanation:
First you would subtract 9 from 393 which is 384 then you would divide the 384 remaining student among the 8 busses which is 48.
Hope this helps.
Simplify (Remember to simplify means to write an equivalent expression that uses each variable on')
not have zero or negative exponents.
Answers
Answer:
A) [tex]x^{3} y^{4}[/tex]
B) [tex]-\frac{5x^{2} }{y}[/tex]
C) [tex]9m^{4}n^{4}[/tex]
D)[tex]\frac{1}{x^{3} }[/tex]
Step-by-step explanation:
Hope this helps.
this is algebra 1 id appreciate it if you could help me thx!
Answers
Answer:
Option 4) y - 1 = -2(x - 0)
Step-by-step explanation:
Given the slope, m = -2, and the y-intercept, (0, 1):
Substitute these values into the following point-slope form:
y - y1 = m(x - x1)
y - 1 = -2(x - 0) ← This is the point-slope form given the slope, m = -2, and the y-intercept, (0, 1).
Therefore, the correct answer is Option 4: y - 1 = -2(x - 0)
an algebraic expression that represents the product of r cubed and one hundred seven.
Answers
Answer:
107r³
Step-by-step explanation: