Answer:
Store used 7.5 pounds of gummy candy, 2.5 pounds of jelly beans, and 3 pounds of hard candy.
Step-by-step explanation:
Let the amount of gummy candy be 'x'.
Let the amount of jelly beans be 'y'.
Let the amount of hard candy 'z'.
Now Given:
Sue is buying 13 pound of mixture.
So we can say that;
[tex]x+y+z =13[/tex]
But Given:
The mixture calls for three times as many gummy candy pieces as jelly beans.
[tex]x=3y[/tex]
Substituting the value of x in above equation we get;
[tex]3y+y+z=13\\\\4y +z =13 \ \ \ \ \ equation \ 1[/tex]
Also Given:
cost of gummy candy = $1.20
cost of jelly beans = $2.00
cost of hard candy = $2.60
Total Cost of mixture = $21.80
Now Total Cost of mixture is equal to cost of gummy candy multiplied amount of gummy candy plus cost of jelly bean multiplied amount of jelly bean plus cost of hard candy multiplied amount of hard candy.
framing in equation form we get;
[tex]1.2x+2y+2.6z=21.80[/tex]
But [tex]x=3y[/tex]
So [tex]1.2(3y)+2y+2.6z=21.80\\\\3.6y+2y+2.6z=21.80\\\\5.6y+2.6z=21.80[/tex]
Now Multiplying by both side by 10 we get;
[tex]10(5.6y+2.6z)=21.80\times 10\\\\10\times5.6y + 10\times2.6z =218\\\\56y+26z=218 \ \ \ \ \ equation \ 2[/tex]
Now Multiplying equation 1 by 14 we get;
[tex]14(4y +z) =13\times14\\\\14\times4y +14z =182\\\\56y+14z=182[/tex]
Now Subtracting equation 3 from equation 2 we get;
[tex](56y+26z) - (56y+14z) =218-182\\\\56y +26z-56y-14z=36\\\\12z=36\\\\z=\frac{36}{12} = 3 \ pounds[/tex]
Now Substituting value of z in equation 1 we get;
[tex]4y+z=13\\\\4y+3=13\\\\4y=13-3\\\\4y = 10\\\\y=\frac{10}{4} = 2.5 \ pounds[/tex]
Now also;
[tex]x= 3y\\\\x =3\times2.5 =7.5 \ pounds[/tex]
Hence Store used 7.5 pounds of gummy candy, 2.5 pounds of jelly beans, and 3 pounds of hard candy.
Find the greatest common factor of 10, 30 and 45
Answer:
The greatest common factor is 5.
Step-by-step explanation:
The prime factorisation of 10, 30 and 45 is,
10 = 2 × 5
30 = 2 × 3 × 5
45 = 3 × 3 × 5
The prime factor '5' is common in the factorisation of 10, 30 and 45
So, the greatest common factor of 10, 30 and 45 is 5.
Read through the scenarios below and calculate the predicted change in kinetic energy of the object compared to a 100 kg ball traveling at 5 m/s.
A 1,000 kg ball traveling at 5 m/s would have ____ Kinetic energy
A 10 kg ball traveling at 5 m/s would have ____ kinetic energy
A 100 kg person falling at 5 m/s would have ____ Kinetic energy
10 times
tenth
the same
Step-by-step explanation:
K.E is directly proportional to mass thus if the mass increases or decreses "k" times, then so does the K.E
Answer:
1). 10 times more 2). 10 times less 3). the same
Step-by-step explanation:
What are the solutions to x2 + 8x + 7 = 0?
O
O
O
O
x=-8 and x = -7
x=-7 and x=-1
x = 1 and x = 7
x = 7 and x = 8
Answer:
x = - 1 and x = - 7
Step-by-step explanation:
Given
x² + 8x + 7 = 0 ← in standard form
(x + 1)(x + 7) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x + 7 = 0 ⇒ x = - 7
Find the greatest common factor of 10, 30,10,30,10, comma, 30, comma and 454545.
Answer:
GCF = 5
Step-by-step explanation:
Given:
The numbers are given as:
10, 30 and 45
A factor of a number is a number by which the given number is evenly divisible.
Example: 2 is a factor of 4 as [tex]4\div 2 =2[/tex]. So, 4 is evenly divisible by 2 and hence 2 is a factor of 4.
Now, factors of 10 = 1, 2, 5, 10.
Factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30.
Factors of 45 = 1, 3, 5, 9, 15, 45.
So, the greatest common factor in all the three numbers is 5.
Hence, the greatest common factor of 10, 30 and 45 is 5.
Which equation is equivalent to 16x – 8 + 2x = 100?
Answer:
x=6
Step-by-step explanation:
16x-8+2x=100
18x-8=100
18x=100+8
18x=108
x=108/18
x=6
14x=108 is the equivalent equation of the equation 16x – 8 + 2x = 100.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 16x – 8 + 2x = 100.
Sixteen times of x minus eight plus two times of x equal to hundred.
16x – 8 + 2x = 100.
We need to add the variable terms to get the equivalent equation.
Equivalent equation is an equation which looks different but the result will be same.
14x-8 = 100.
Add 8 on both sides.
14x=100+8
14x=108.
Hence, 14x=108 is the equivalent equation of the equation 16x – 8 + 2x = 100.
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Write an integer for the following situation a gain of 20 pounds
Answer:
+20
Step-by-step explanation:
This is meaning to add when it says to gain
Which of the following rational numbers represents a repeating decimal 11 / 40 ,3/25, 25/48,or 7/32
[tex]\frac{25}{48}[/tex] represents repeating decimal
Solution:
We are asked to find the rational number that represents repeating decimal
A repeating decimal, also called a recurring decimal, is a number whose decimal representation eventually becomes periodic (i.e., the same sequence of digits repeats indefinitely)
Option 1
[tex]\frac{11}{40} = 0.275[/tex]
So here the decimal part is not repeating. So [tex]\frac{11}{40}[/tex] does not represent repeating decimal
Option 2
[tex]\frac{3}{25} =0.12[/tex]
So here the decimal part is not repeating. So [tex]\frac{3}{25}[/tex] does not represent repeating decimal
Option 3
[tex]\frac{25}{48} = 0.52083333333[/tex]
So here in decimal part "3" is repeating and goes on forever
So [tex]\frac{25}{48}[/tex] represents repeating decimal
Option 4
[tex]\frac{7}{32} = 0.21875[/tex]
So here the decimal part is not repeating. So [tex]\frac{7}{32}[/tex] does not represent repeating decimal
Introduction to the triangle midsegment theorem‼️Can someone help me with this problem ❓
Answer:
see explanation
Step-by-step explanation:
Given a line joining the midpoints of 2 sides of a triangle, the midsegment
Then the midsegment is parallel to and half the measure of the third side of the triangle, thus
XY = 2KL = 2 × 42 = 84
Since J is the midpoint of XY, then
JY = 0.5XY = 0.5 × 84 = 42 and
JK = 0.5YZ = 0.5 × 76 = 38
the world population in 2013 was about 7.125 billion. in 2003,it was about 6.357 billion. which number represents the increase in the world population between 2003 and 2013?
there was a 768million person increase in that decade
Answer:
768million
Step-by-step explanation:
What percent of 400 is 3?
Answer:
0.75%
Step-by-step explanation:
In order for us to obtain the answer, we first write 3 over 400 as a fraction, we then multiply it by 100 as percentage is always out of 100, so 3/400 x 100
Help me with this math problem
Answer:
Weight of each large box [tex]x=15.75kg[/tex]
Weight of each small box [tex]y=13.75kg[/tex]
Step-by-step explanation:
Given:- Two equations are given,
Equation 1 :- [tex]7x+9y=234[/tex]
Equation 2:- [tex]5x+3y=120[/tex]
let,
x=weight of large box in Kilogram.
y=weight of small box in Kilogram.
Now,
multiply Equation 1 by 2 and Equation 2 by 6,
So we get 2 new equations,
Equation 3:- [tex]14x+18y=468[/tex]
Equation 4:- [tex]30x+18y=720[/tex]
Now after subtracting Equation 3 from Equation 4 we will get a new equation,
i.e. Equation 5:- [tex]16x=252[/tex]
therefore [tex]x=15.75[/tex]
now, put the value of x in Equation 1, so we will get
[tex](7x15.75)+9y=234[/tex]
[tex]110.75+9y=234[/tex]
[tex]9y=234-110.75[/tex]
[tex]9y=123.75[/tex]
[tex]y=123.75/9[/tex]
[tex]y=13.75[/tex]
So, weight of each large box i.e. [tex]x=15.75 kilogram[/tex]
and weight of each small box i.e. [tex]y=13.75 kilogram[/tex]
5(2r+6)-12r ; Simplify
First, use distributive property:
5(2r+6)-12r The original expression; multiply 5 by 2r, and 5 by 6.
10r+30-12r Keep the -12r, just add it on to the end of the number(s) you found
Next, use communitive property:
10r+30-12r What we found in the previous step
-2r+30 Combine the like terms; 10r-12r=-2r, then place the 30 at the end
Done! Your answer is -2r+30.
Hope that helps!
Solve. 5x−3/2=3x+8
–26
–19
13
19
Good morning,
Answer:
-19
Step-by-step explanation:
(5x−3)/2=3x+8 ⇌ 5x−3 = 2×(3x+8) ⇌ 5x−3 = 6x+16 ⇌ 6x-5x = -3-16
⇌ x=-19.
:)
Answer:
x = - 19
Step-by-step explanation:
Given
[tex]\frac{5x-3}{2}[/tex] = 3x + 8
Multiply both sides by 2 to clear the fraction
5x - 3 = 6x + 16 ( subtract 6x from both sides )
- x - 3 = 16 ( add 3 to both sides )
- x = 19 ( multiply both sides by - 1 )
x = - 19
a bag contains 5 red, 6 white, and 5 blur marbles. a marble is drawn from the bag and replaced 32 times. the table shows the results. for which color is the experimental probability of drawing the color the same as the theoretical probability?
red:12 white: 12 blue:8
Answer:
White.
Step-by-step explanation:
Theoretical probabilities are:
Red: 5 / ( 5 + 6 + 5) = 5/16
White: 6/16 = 3/8.
Blue: 5/16.
The answer is white because it is drawn 12 times which equals its theoretical probability: 12/32 = 3/8.
The probability of drawing the color the same as the theoretical probability is 3/8.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
A bag contains 5 red, 6 white, and 5 blue marbles.
Theoretical probabilities for the colors are:
Red:
= 5 / ( 5 + 6 + 5)
= 5/16
White:
= 6/16
= 3/8.
Blue: 5/16.
So, the probability of drawing the color the same as the theoretical probability is white because the theoretical probability is 3/8.
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2/3*5/15+-24+-18 pls help asap
Answer:
-42 2/9
Step-by-step explanation:
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The line y=-3 is what I need help
Answer:
Look at the attachment below :)
Step-by-step explanation:
When we are given just a X or a Y coordinate, we just graph that. In this example, y will always be -3 and x will be anything so its a straight line.
A pregnant woman learns she is having twins
Assuming the probability of having a girl and boy are the same, what is the probability that the twins are two girls
Enter your answer as a percent to one decimal place like this : 42.5%
I’ll put you as brainliest
Answer: I think the answer would be 50%
If the chance of having a boy or girl would be 50%, then having twins would be that probability as well.
Answer:The answer is 25%
Step-by-step explanation: 0.5x 0.5= 0.25
If its 50 % to have a boy or girl then you just multiply them.
PLEASE HELP!!
identify the cross section shown.
a. octagon
b. rectangle
c. trapezoid
d. triangle
Answer:
c
Step-by-step explanation:
The figure is a triangular prism
It is like you take an iron sheet with the shape of a trapezoid to cut the figure
The bottom part of the "sheet match the triangular base of the prism
The top part of the"sheet match the middle point of the triangular top of the prism
80 95 90 80 100 _ what goes on the blank to get a mean of 90
Answer:
95
Step-by-step explanation:
(80 + 95 + 90 + 80 + 100 + x) / 6= 90
x = 95
Answer:
95.
Step-by-step explanation:
The are a total of 6 numbers so to make the mean 90 the total must be 6*90 = 540.
So the number in the blank is 540 - (80 + 95+90+80+100)
= 540 - 445
= 95.
In right triangle JKL, ZL is a right angle, mZJ = 62°, and JK = 17.
sin 62° 0.88
cos 62° 0.47
tan 62° 1.88
© 2019 StrongMind. Created using GeoGebra.
What is the measurement of JL?
If necessary, round your answer to one decimal place, like this: 42.5
Please the attachment for question.
Answer:
Measurement of JL=8
Step-by-step explanation:
Given:-
[tex]\triangle JKL\ is\ right\ angle\ triangle[/tex]
[tex]m\angle J=62\ degree[/tex]
JK=17
[tex]sin\ 62\ degree= 0.88[/tex]
[tex]cos\ 62\ degree= 0.47[/tex]
[tex]tan\ 62\ degree= 1.88[/tex]
To find measurement of JL=?
Now,
[tex]cos\theta=\frac{adjacent\ side}{hypotenuse}[/tex]
[tex]cos\ 62\ degree=\frac{JL}{17}[/tex]
[tex]0.47=\frac{JL}{17}[/tex]
[tex]JL=0.47\times 17[/tex]
[tex]JL=7.99[/tex]
[tex]JL=8[/tex]
Therefore measurement of JL=8
A shoe company sends out 7 trucks loaded with nursing shoes that cost the company $ 1,572per truck if they send out 750 boxes per truck what would be the profit if the cost per box is $ 125.40
1572*7=11004
750*125.40=94050
94050-11004=83046
the profit is $83046
Can someone EXPLAIN how I find cf on 10. Thx
Answer:
Step-by-step explanation:
parent function is the main function the start function and transformations are the new function so parent function is y = x^2 and the transformations is down for (due to the -) and left 3 (due to the +)
HOPE THIS HELPED ;3
Answer:
so....wya
Step-by-step explanation:
Solve 6x - 2 = 4x + 13 for x.
15/2
112
3/12
Answer:
[tex]\large \boxed{x = \dfrac{15}{2}}[/tex]
Step-by-step explanation:
[tex]\begin{array}{rcll}6x - 2& = & 4x + 13 & \\6x & = & 4x + 15 & \text{Added 2 to each side}\\2x & = & 15 & \text{Subtracted 4x from each side}\\x & = & \mathbf{\dfrac{15}{2}}& \text{Divided each side by 2}\\\\\end{array}\\\large \boxed{\mathbf{x = \dfrac{15}{2}}}[/tex]
The following shows a corn maze for participants to walk through. The participants can only go forward and when there is a fork in the path you may assume that people are equally likely to take any one of the paths. It costs $5.00 to enter the maze and each participant gets $10.00 if they come out in a prize area.
I'm not really sure but I know that the answer is definitely not 0.25 or 0.5.
Answer:
D. 0.472
Step-by-step explanation:
I guessed on my test and got it correct trust me.
Asa saves dimes and quarters so that he will have exact change for he bus. He dabs and then dumps the container that he has been using for collecting his coins and finds he has 47 coins that are worth $9.50. How many of each coin does he have?
Answer:
He have 32 quarters and 15 dimes.
Step-by-step explanation:
Given:
Asa saves dimes and quarters so that he will have exact change for the bus.
He has 47 coins that are worth $9.50.
Now, to find the number of coin each he have.
Let the number of quarters be [tex]x.[/tex]
And the number of dimes be [tex]y.[/tex]
So, the total number of coins are:
[tex]x+y=47.[/tex]
[tex]y=47-x.[/tex].........(1)
As given the total worth of coins = $9.50
And the value of a quarter = $0.25 and the value of a dime = $0.10.
Now, the total worth of coins are:
[tex]0.25x+0.10y=9.50[/tex]
Putting the equation (1) in the place of [tex]y[/tex] we get:
[tex]0.25x+0.10(47-x)=9.50[/tex]
[tex]0.25x+4.7-0.10x=9.50[/tex]
[tex]0.15x+4.7=9.50[/tex]
Subtracting both sides by 4.7 we get:
[tex]0.15x=4.80[/tex]
Dividing both sides by 0.15 we get:
[tex]x=32.[/tex]
The number of quarters = 32.
Now, putting the value of [tex]x[/tex] in equation (1) we get:
[tex]y=47-32.[/tex]
[tex]y=15.[/tex]
The number of dimes = 15.
Therefore, he have 32 quarters and 15 dimes.
About 4/5 of the weight of a pineapple is water. About how much water would you expect to find in 2 1/2 pounds of pineapple?
Answer:
2 pounds
Step-by-step explanation:
all you have to do is 2 1/2 x 4/5 because 4/5 is equal to 1. So if you multiply that by 2 1/2 you will get the answer
Choose the solution set graphic until the correct one is displayed.
A.Infinite set of points on the line
B.Empty set
C.Points on negative x-axis
Final answer:
The solution set graphic is C - Points on negative x-axis.
Explanation:
The correct solution set graphic for this question is C - Points on negative x-axis.
To determine the solution set graphically, you would need to plot all the possible values of the equation or inequality on a coordinate plane. Option A - Infinite set of points on the line would represent a linear equation or inequality with multiple solutions. Option B - Empty set would mean that there are no solutions to the equation or inequality. Option C - Points on negative x-axis would indicate that the equation or inequality has solutions only on the negative x-axis.
Find the other endpoint given one endpoint (-1,6) and the midpoint is (4,2)
Answer:
The required points of the given line segment are ( 9, - 2 ).
Step-by-step explanation:
Given that the line segment AB whose midpoint M is ( 4, 2 ) and point A is ( - 1, 6), then we have to find point B of the line segment AB -
As we know that-
If a line segment AB is with endpoints ( [tex]x_{1}, y_{1}[/tex] ) and ( [tex]x_{2}, y_{2}[/tex] )then the mid points M are-
M = ( [tex]\frac{ x_{1} + x_{2} }{2}[/tex] , [tex]\frac{ y_{1} + y_{2}}{2}[/tex] )
Here,
Let A ( - 1, 6 ), B ( x, y ) with midpoint M ( 4, 2 ) -
then by the midpoint formula M are-
( 4, 2 ) = ( [tex]\frac{ - 1 + x}{ 2}[/tex] , [tex]\frac{ 6 + y}{2}[/tex] )
On comparing x coordinate and y coordinate -
We get,
( [tex]\frac{ -1 + x}{2}[/tex] = 4 , [tex]\frac{ 6 + y}{2}[/tex] = 2)
( - 1 + x = 8, 6 + y = 4)
( x = 8 + 1, y = 4 - 6 )
( x = 9, y = -2 )
Hence the required points A are ( 9, - 2 ).
We can also verify by putting these points into Midpoint formula.
Which expression is equivalent? 7 − 4(2x − 3)
Answer:
19-8x
Step-by-step explanation:
7-4(2x-3)
7-8x+12
19-8x
Answer:
19-8x
Step-by-step explanation:
7-4(2x-3)
7-8x+12
19-8x
Find the value of x when y = 6 and z = -1/2, If
Answer:
[tex]x=-\frac{261}{46}[/tex]
Step-by-step explanation:
we have the expression
[tex]\frac{3x+2y-5z}{y-4z}=\frac{x}{3y}[/tex]
we have
[tex]y=6,z=-\frac{1}{2}[/tex]
To find the value of x, substitute the given values of y and z in the expression
[tex]\frac{3x+2(6)-5(-\frac{1}{2})}{6-4(-\frac{1}{2})}=\frac{x}{3(6)}[/tex]
solve for x
[tex]\frac{3x+12+\frac{5}{2}}{6+2}=\frac{x}{18}[/tex]
[tex]\frac{3x+12+\frac{5}{2}}{8}=\frac{x}{18}[/tex]
Multiplying in cross
[tex](3x+12+\frac{5}{2})18=8x[/tex]
[tex]54x+216+45=8x[/tex]
[tex]54x-8x=-216-45[/tex]
[tex]46x=-261[/tex]
[tex]x=-\frac{261}{46}[/tex]