One group (A) contains 390 people. Three-fifths of the people in group A will be selected to win $100 fuel cards. There is another group (B) in a nearby town that will receive the same number of fuel cards, but there are 553 people in that group. What will be the ratio of nonwinners in group A to nonwinners in group B after the selections are made? Express your ratio as a fraction or with a colon.
The ratio of nonwinners in group A to nonwinners in group B after the selections are made is 156 : 319.
What is the ratio?Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).
Nonwinners in group A = (1 - 3/5) x 390 = 156
Winners in group B = (390 - 156) = 234
nonwinners in group B = 553 - 234 = 319
The ratio = 156 : 319
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please help- ive provided an image btw
Answer:
Just plug in the values and then calculate :[tex] \longrightarrow \tt {4}^{2} + 2 + 3 \times 4 + 4[/tex]
[tex] \longrightarrow \boxed{\tt{\: 34}} \: [/tex]
---------- HappY LearninG <3 ------
Answer:
the answer is 34
Step-by-step explanation:
see the image
Point B is between A and C. If AB = 3x, BC = 4x-2, and AC = 12, find the length of BC
Answer:
BC = 6 units
Step-by-step explanation:
given that B is between A and C , then
AB + BC = AC ( substitute values )
3x + 4x - 2 = 12
7x - 2 = 12 ( add 2 to both sides )
7x = 14 ( divide both sides by 7 )
x = 2
Then
BC = 4x - 2 = 4(2) - 2 = 8 - 2 = 6
Answer:
6
Step-by-step explanation:
from the question, since point B is between Ac
AC = AB + BC
12 = 3X+4X -2
3X+4X-2 = 12
7X = 12+2
7X = 14
dividing bothsides by 7
7X/7 = 14/7
X = 2
the length BC = 4X-2 = 4(2)-2 = 8-2= 6
length of BC = 6
Mario borrows $620 from his parents and agrees to pay them back the same amount each month without interest. After 6 months of payments, he still owes them $320. Write a linear function to model the remaining amount over time that Francisco has to repay. Identify the slope and the y-intercept in terms of the context.
A linear function that models the remaining amount he would have to repay is y =620 - 50x. The slope is -50 and the y-intercept is 620.
What is the linear function?A linear function is a function in which there is only one variable that is raised to the power of one. Linear functions usually have the form: mx + b.
Where:
x = slope b = y -interceptThe first step is to determine the amount that would be repaid each month: (620 - 320) / 6 = $50
The linear function: =620 - 50x.
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Sonji bought a combination lock that opens with a four-digit number created using the digits 0 through 9. The same digit cannot be used more than once in the combination.
If Sonji wants the last digit to be a 7 and the order of the digits matters, how many ways can the remaining digits be chosen?
84
504
3,024
60,480
Answer:
504 combos
Step-by-step explanation:
Cannot use digits twice and last is '7'
9 digits for first place choice
8 digits for second place
7 digits for third place
only '7' for fourth place 9 x 8 x7 = 504 combos
You can use the rule of product from combinatorics to find out how many ways can the remaining digits be chosen.
The remaining digits for the given condition can be chosen in 504.
Option B: 504
What is the rule of product in combinatorics?If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in ways.
Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.
Thus, doing A then B is considered same as doing B then A
Since 7 is already fixed and there is constraint that no two digits can be used, thus, we initially have only 10-1 = 9 digits.
For first place, we can chose 1 digit out of 9 digits in ways,
⁹C₁ = 9 ways
For second place, as one of the digit is used, thus, 1 digit out of 8 digits can be chosen in ways,
⁸C₁ = 8 ways
For third place, as two of the digits is used, only 7 digits are remaining to chose from. Thus, 1 digit out of 7 remaining digits can be chosen in ways.
⁷C₁ = 7 ways
Using product rule, we get:
Total possible number of choices for choosing digits for first, second and third position of lock with given constraints is given as
= 9 x 8 x 7
= 504 ways
Thus, The remaining digits for the given condition can be chosen in,
Option B: 504
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Math Due soon pls help :)
HELP A BRUVUH OUT
===========================================================
Explanation:
The volume of the rectangular block is:
V = L*W*H = 5*14*2 = 70*2 = 140 cubic cm.
Now move onto the triangular prism.
The triangular face has a base of 5 cm and height of 4, so the area of this face is
A = base*height/2 = 5*4/2 = 20/2 = 10 square cm
Multiplying this with the depth of the prism tells us the volume is
V = (area of the base)*(depth) = (10 sq cm)*(14 cm) = 140 cubic cm
Therefore, the prisms have the same volume.
Answer: Choice C
===========================================================
Explanation:
The volume of the rectangular block is:
V = L*W*H = 5*14*2 = 70*2 = 140 cubic cm.
Now move onto the triangular prism.
The triangular face has a base of 5 cm and height of 4, so the area of this face is
A = base*height/2 = 5*4/2 = 20/2 = 10 square cm
Multiplying this with the depth of the prism tells us the volume is
V = (area of the base)*(depth) = (10 sq cm)*(14 cm) = 140 cubic cm
Therefore, the prisms have the same volume.
Evaluate the following expression with x=-6, -3(x-4)+x+1
Step-by-step explanation:
−3(x−4)+x+1
Evaluate this with x=−6
−3(−6−4)+−6+1
=25
Hey there!
Answer :[tex] \displaystyle \red{ \boxed{ \green{25}}}[/tex]
Explanation:-3(x - 4) + x + 1
>> Substitute -6 for x :
⇒ -3(-6 - 4) + (-6) + 1
⇒ -3(-10) - 6 + 1
⇒ 30 - 6 + 1
⇒ 24 + 1
⇒ 25
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Evaluate the following expression. You should do this problem without a calculator. log 5 125
Answer:
3
Step-by-step explanation:
log(5) 125 =x
5^x = 125
5^x = 5^3
x=3
3x^2 + 14x +8 find magic x
x = -2/3 or -4
see the attachment for solution
hope it helps...!!!
Find the volume of the sphere. Round your answer to the nearest tenth.
Answer:
268.08 cm
Step-by-step explanation:
we all know that the FORMULA for a sphere is v=4/3 x π x r^3, so we just SUBSTITUTE.
V=4/3 x π x 4^3
which leaves us with 268.08 cm ^2 maybe??
(hope this helps)
please help with this!
Answer:
3/8
Step-by-step explanation:
1/8 + 1/4 = 1/8 + 2/8 = 3/8
Note that 1/4 = 1/4 * 2/2 = 1*2 / 4*2 = 2/8
complete the solution of the equation. find the value of y when x equals -2. -9x-3y=6
Answer:
y= 4
Step-by-step explanation:
-9x-3y=6
Let x = -2
Substitute for x in the equation
-9(-2) -3y = 6
18 -3y = 6
Subtract 18 from each side
18-3y-18 = 6-18
-3y = -12
Divide by -3
-3y/-3 = -12/-3
y = 4
28 In the diagram below of circle O, secant ABC and tangent AD are drawn.
If CA=12.5 and CB=4.5 determine and state the length of DA
The length of the side DA from secant theorem is; 10
How to find the length of a Tangent?
From the cyclic diagram attached;
Since CA = 12.5 and CB = 4.5, it means that;
BA = 12.5 - 4.5 = 8
From the secant theorem, we know that;
The product of the secant and its exterior segment is equal to the square of the tangent segment.
Thus;
Length of DA = √(8 * 12.5)
Length of DA = 10
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Where are the zeros for f(x)= 1/2 sin 2x−2 on the interval [0,2π]?
A. x=0, π/2, π, 3π/2, 2π
B. x=0 , π, 2π
C. none
D. x= π/2, 3π/2
how to find slope within two sets of points
The slope within two sets of points is calculated using the slope equation [tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
What is slope?The slope of a line or points is the rate of change of the line.
This in other words means that, the vertical change per unit horizontal change
Assume that the points are given as:
(x1, y1) and (x2, y2)
The slope (m) of the points is:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
Hence, the equation of two sets of points is [tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
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Coffee Tea
17
New York 43
Chicago 21 39
Did a larger percentage of people in New York or Chicago prefer coffee?
Answer:
A larger percentage of people in New York prefer coffee
please help TT i cant fail this quarter
The value of x in the diagram is : 75°
what is an isosceles triangle?An isosceles triangle is a type of triangle with base angles equal and opposite sides equal.
Analysis:
Since GF = EF
∠FGE = ∠FEG = (x - 18)°( base angles of an isosceles triangle are equal)
∠FGE + ∠FEG + ∠GFE = 180°( sum of angles in a triangle)
(x - 18)° + (x-18)° + 66 = 180
2x -36 + 66 = 180°
2x + 30 = 150
2x = 180 - 30
2x = 150°
x = 150/2 = 75°
In conclusion, the value of x in the diagram is 75°
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Double tap to add title • AC is the diameter of the circle. Angle AWB is 120 degrees. How big is arc BC? A 1200 B w C D 45 Notes Comm
Answer: 60
Step-by-step explanation:
AB has endpoints A(4,-3) and B(3,7). Line d is the perpendicular bisector of AB. Which of the following is NOT an equation of line d?
Answer:
B
Step-by-step explanation:
We know that AB has endpoints at A(4, -3) and B(3, 7).
To find Line D, which is the perpendicular bisector of AB, we first need to find the slope of AB and its midpoint.
So, let's find the slope of AB using the slope formula:
Let (4, -3) be (x₁, y₁) and let (3, 7) be (x₂, y₂). Substitute them into the slope formula:
So, the slope of AB is -10.
Remember that the slopes of perpendicular lines are negative reciprocals of each other.
Therefore, the slope of our Line D is the negative reciprocal of -10. Which is -10 flipped and multiplied by a negative.
So, Line D has a slope of 1/10.
Now, since Line D is also the perpendicular bisector of AB, we need to find the midpoint of AB since Line D must pass through this point.
To find the midpoint, we can use the midpoint formula:
We can again let (4, -3) be (x₁, y₁) and let (3, 7) be (x₂, y₂). Substitute them into the midpoint formula to obtain:
Evaluate. So, the midpoint is:
Now, we can find the equation of our Line D. We know that its slope is 1/10, and that it must pass through (3.5, 2). So, we can use the point-slope form:
Where m is the slope. Let's let (3.5, 2) be (x₁, y₁) and substitute 1/10 for m. This yields:
This is the same as choice C. So, choice C is indeed an equation of Line D.
We can distribute the right to obtain:
Add 2 to both sides to acquire:
This is the same as choice D. So, choice D is indeed an equation of Line D.
Moreover, we can put this into standard form by multiply everything by 10, which gives:
Subtracting x from both sides yields:
This is the same as A. So, choice A is also an equation of Line D.
There is no way to acquire choice B. So, B is not an equation of Line D.
Therefore, our answer is B.
And we're done!
if u want to u can answer question 16 and 17 but if u don’t just answer 16
Answer:
the answer to 16 is C i know cause i had the same thing and the answer for 17 is A.
Step-by-step explanation:
Hope thi helps
A variable that explains the relationship between an IV and a DV is called a(n) __________, whereas a variable that changes the relationship between an IV and a DV is called a(n) __________.
Mediator variable explains the relationship between IV and DV.
Moderator variable that changes the relationship between an IV and a DV.
What is a Mediator Variable and a Moderator Variable?A mediator variable can be described as a third variable that explains how an independent variable affects a dependent variable, while a moderator variable can directly alter or strengthen the relationship between the independent and independent variable.
For example, alertness is a mediator variable between the independent variable, sleep quality, and dependent variable, achievement.
In summary, mediator variable explains the relationship between IV and DV, while the variable that changes the relationship between an IV and a DV is the moderator variable.
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Anthony wants to find out the percentage of students at his school who are vegetarians. Which of the following is the most representative group of students for him to surve
A. 50 students at a icecream parlor
B. 5 students at a icecream parlor
C. 50 students at a hamburger restaurant
D. 5 students at a hamburger restaurant
Answer:
I think c
Step-by-step explanation:
i might be wrong so dont trust my answer but i would've picked C
Jar a contains the 8 letters in the word colorado. jar b contains the 11 letters in the word connecticut. what is the probability of randomly drawing an o from jar a, then an o from jar b?
Answer:
4/19
Step-by-step explanation:
Jar a: 3/8
Jar b: 1/11
8+11 = 19
3+1= 4
4/19
The expression below represents the perimeter, in feet, of Manual’s garden. 15 + 2x + 7 + 15 + 2x + 7 Use exactly two terms to write an equivalent expression to represent the perimeter, in feet, of Manual’s garden. The area, measured in square feet, of Manual’s garden is found by calculating 15(2x + 7). Manual incorrectly says the area can also be found using the expression 30x + 7. Describe the error in Manual’s expression. Also, find the difference, in square feet, between the actual area of Manual’s garden and the area found using his expression as a part of your explanation. Manual’s friend Sasha designs a square garden. Each side measures 3x + 5 in length. The perimeter of Sasha’s garden is how much larger than the perimeter of Manual’s garden?
The perimeter of Sasha’s garden is 8x - 24 larger than the perimeter of Manual’s garden
The equivalent expression using exactly two termsThe perimeter is given as:
P = 15 + 2x + 7 + 15 + 2x + 7
Collect like terms
P = 2x + 2x + 7 + 15 + 15 + 7
Evaluate the like terms
P = 4x + 44
The area of the gardenThe area of the garden is given as:
A = 15(2x + 7).
Expand
A = 30x + 105
Manual's expression of the area is 30x + 7
Hence, Manuel's error is that he did not multiply 15 by 7 when expanding the bracket and the actual area is 30x + 105
The difference between the areas of Manual’s garden and Sasha's designThe side length of Sasha's design is:
L = 3x + 5 in
So, the area is:
A = (3x + 5)^2
Expand
A = 9x^2 + 16x + 25
The difference between both areas is:
Difference = 9x^2 + 16x - 30x + 25 - 105
Evaluate
Difference = 9x^2 - 14x - 80
Hence, the difference between the areas of Manual’s garden and Sasha's design is 9x^2 - 14x - 80
The perimeter of Sasha's gardenThis is calculated using:
P = 4L
So, we have:
P = 12x + 20
The difference between both perimeter is:
Difference = 12x - 4x + 20 - 44
Evaluate
Difference = 8x - 24
Hence, the perimeter of Sasha’s garden is 8x - 24 larger than the perimeter of Manual’s garden
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Guys what is the volume formula called for this please ?
Answer:
Total Area = 24830.437[tex]m^{3}[/tex]
Step-by-step explanation:
This will be using different AREA formula to find the inner area amount
The image is color coded to each shape area
Let me know if you have any questions !
Hope this helps :)
help meeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
*These Should be the correct answers*
1.C
2.D
Step-by-step explanation:
please help me outttt
Answer:
(-1, 4) and (2, 7)
Step-by-step explanation:
Graphs f(x) & g (x) are intersecting each other.-> f(x) = g(x)[tex]\implies x^2+3 =x + 5[/tex][tex]\implies x^2+3 -x -5=0[/tex][tex]\implies x^2 -x -2=0[/tex][tex]\implies x^2 -2x +x-2=0[/tex][tex]\implies x(x -2) +1(x-2)=0[/tex][tex]\implies (x -2)(x+1)=0[/tex][tex]\implies (x -2)=0,\:\: (x+1)=0[/tex][tex]\implies x=2\:\: x=-1[/tex][tex]\implies x=-1,\:\:2[/tex]When x = -1[tex]f(x) = (-1)^2+3 = 1 +3 = 4 [/tex]-> (x, f(x)) = (-1, 4) & When x = 2[tex]f(x) = (2)^2+3 = 4 +3 = 7 [/tex]-> (x, f(x)) = (2, 7) Thus, the points of intersection of the functions f(x) and g(x) are (-1, 4) and (2, 7)I just need what’s missing
Answer:
$0.88/lb
Step-by-step explanation:
The end result of this units conversion is found by multiplying the fractions in the usual way. The numerator is the product of the numerators; the denominator is the product of the denominators. Of course, the division must be carried to completion to arrive at the unit price.
__
[tex]=\dfrac{26.29\times0.074\times1}{1\times1\times2.2}\ \dfrac{\text{dollars}}{\text{lb}}=\dfrac{1.94546}{2.2}\ \dfrac{\text{dollars}}{\text{lb}}\approx\boxed{0.88\ \dfrac{\text{dollars}}{\text{lb}}}[/tex]
An ice cream shop has a make-your-own sundae bar. If there are 20 different flavors of ice cream to choose from, 5 different toppings to choose from, and 3 different sizes, how many different sundaes are possible
There are 300 different sundaes possible with the given choices of 20 ice cream flavors, 5 toppings, and 3 sizes at the make-your-own sundae bar.
To find the total number of different sundaes possible, we need to multiply the number of choices for each category: ice cream flavors, toppings, and sizes.
Number of ice cream flavors = 20
Number of toppings = 5
Number of sizes = 3
Total number of sundaes = Number of ice cream flavors × Number of toppings × Number of sizes
Total number of sundaes = 20 × 5 × 3
Total number of sundaes = 300
There are 300 different sundaes possible with the given choices of 20 ice cream flavors, 5 toppings, and 3 sizes at the make-your-own sundae bar.
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Glass A contains 100 ml of water and glass B contains 100 ml of wine. A 10 ml spoonful of wine is taken from Glass B and mixed thoroughly with the water in Glass A. A 10 ml spoonful of the mixture from A is returned to B. Is there now more wine in the water or more water in the wine
Answer:
More wine in the water
Step-by-step explanation:
Hope this helped
