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Complete Question
Paula purchased adult and child tickets for the carnival. Tickets cost $19.95 for each adult and $9.95 for each child. Let x represent the number of adult tickets purchased and y represent the number of child tickets purchased. Write an expression to represent the total cost of the tickets Paula purchased.
a) $19.95x + $9.95y
b) $19.95y + $9.95x
c) ($19.95 + $9.95)(x + y)
d) ($19.95 - $9.95)(x + y)
Answer:
a) $19.95x + $9.95y
Step-by-step explanation:
Let
x represent the number of adult tickets purchased
y represent the number of child tickets purchased.
Tickets cost $19.95 for each adult and $9.95 for each child.
Total Cost of tickets is given as:
$19.95 × x + $9.95 × y
= $19.95x + $9.95y
Option a is correct.
Basketball
30%
(A)
(B)
(C)
(D)
Tennis
36⁰
300
360
720
900
Cricket
35%
If 180 students played football, how many
students are in the group?
Football
Proportionately, if 32% represent students who played football, and the total number of them is 180, the total students in the group is 563.
What is proportion?Proportion is the ratio of two quantities equated to each other.
Proportion is a fractional value and we represent proportional values as between zero and one.
Basketball Tennis Cricket Football
Percentage 30% 3% 35% 32% (100 - 30 - 3 - 35)
The number of
students 169 17 197 180 (32% of 563)
The number of students who played football = 180
Proportionately, if 32% = 180, 100% representing the total number of students in the group = 563 (180/0.32).
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What is x?
What is y?
Answer:
X: 20
Y: 18
PLEASE MARK BRAINLIEST
1. John is building a miniature model of a building on campus. The dimensions of
the building are 95 ft x 80 ft x 30 ft. The model is 1/10th the dimensions of the
building. Sketch the model, then find the volume of the model.
Answer:
228 ft^2
Step-by-step explanation:
1/10 of the given dimensions are 9.5 ft by 8 ft by 3 ft.
The volume of the model is thus (9.5 ft)(8 ft)(3 ft) = 228 ft^2
Sarah purchased 8kg of sugar, 10kg of
flour, 500g of cocoa, 225g of pecans,
and 275g of coconut. How much do all
her groceries weigh in kilograms?
The total weight is 18.5 kilograms
In kickboxing, it is found that the force, f, needed to break a board, varies inversely with the length, l, of the board. If it takes 15 pounds of pressure to break a board that is 7 feet long, how many pounds of pressure will it take to break a board that is 5 feet long?
Answer:
21 pounds
Step-by-step explanation:
Given that f varies inversely with l then the equation relating them is
f = \(\frac{k}{l}\) ← k is the constant of variation
To find k use the condition f = 15 when l = 7, then
15 = \(\frac{k}{7}\) ( multiply both sides by 7 )
105 = k
f = \(\frac{105}{l}\) ← equation of variation
When l = 5 , then
f = \(\frac{105}{5}\) = 21 pounds
solve for x algebra help
Answer:
x=24
Step-by-step explanation:
Hi there!
We are given the following proportion:
\(\frac{2}{10}=\frac{3}{x-9}\)
And we want to solve for x.
First, let's reduce \(\frac{2}{10}\), as reducing fractions typically makes the process easier
\(\frac{2}{10}\) is the same as \(\frac{1}{5}\)
So:
\(\frac{1}{5}=\frac{3}{x-9}\)
We can't do anything to \(\frac{3}{x-9}\), but that's okay.
Now we can cross multiply, as this is a proportion
Multiply x-9 by 1 and 3 by 5
1(x-9)=3(5)
Multiply
x-9=15
Now this is an equation
Our goal is to isolate x on one side
So let's add 9 to both sides to remove it from the left side
x-9=15
+9 +9
_________
x=24
Hope this helps!
Answer:
24
Step-by-step explanation:
Cross multiply:
2(x - 9) = 2x - 18
3(10) = 30
2x-18 = 30
+18 +18
-----------------
2x = 48
----- -----
2 2
x = 24
Hope this helped.
help me if ya know this please :D
Answer:
C
Step-by-step explanation:
Key skills needed: Understanding inequalities, Understanding variables
1) The inequality is \(120\geq 12x + 29\)
2) This means that 12x + 29 is at most 120, not at least. At least means greater than or equal to. At most means less than or equal to.
3) 29 is the initial amount --> So C is the answer. C says that 29 is the initial amount, and 12 coins are being added every year (k is the number of years). C also says "AT MOST".
Therefore C is the answer
Hope you understood and have a nice day!! :D
8. A welder is making a metal sphere. The radius will be 115 cm. What is the surface area of the metal sphere? Use 3.14 for π.
9. Thirty percent of the metal sphere will be covered in a metal that is tinted red. What is the area of the section of the sphere that is tinted red?
please help :))
Step-by-step explanation:
Given that,
8. The radius of a sphere, r = 115 cm
We need to find the surface area of the metal sphere. The formula for the surface area of a sphere is given by :
\(A=4\pi r^2\)
Put all the values,
\(A=4\times 3.14 \times (115)^2\\\\=166106\ cm^2\)
9. Thirty percent of the metal sphere will be covered in a metal that is tinted red.
So, the area of the section that is tinted red is :
\(A=30\%\ of\ 166106\\\\=\dfrac{30}{100}\times 166106\\\\=49831.8\ cm^2\)
Hence, this is the required solution.
Shape A and Shape B are each made from 5 identical squares.
The perimeter of shape A is 60cm.
Work out the perimeter of Shape B
Answer:
Perimeter of shape B = 50 cm
Step-by-step explanation:
Perimeter of shape A = 60 cm
Let the length of each square = x cm
Total length of free boundaries of shape A = 12x
Therefore, 12x = 60
x = 5 cm
Now length surfaces of shape B = 10x
Perimeter of shape B = 10x
= 10(5)
= 50 cm
At Chrissy's Clothes Warehouse, it takes of a day to complete of an order of t-shirts. At this rate, how long will it take to complete the entire order of t-shirts?
4 days
days
days
25 days
1/10 of all take 2/5 time
10/10=10 times 1/10
so 10 times 2/5 time=20/5=4 days to finish 1 order
4 days
2-90 Frieda Friendly works for a local car dealership. She noticed that 3434
34
of the cars are sedans and that half of them are white. What fraction of the dealership’s cars are white sedans?
A. Use a unit rectangle to represent this situation. Label the parts carefully. (Complete in your notebook.)
B. Write an equation or a sentence that describes the situation, and answer the question. (Complete in your notebook.)
Write your answer from part (b) as a decimal and as a percent.
PLEASE ISTG IM CRYING OVER THIS QUESTION- I'LL MARK BRAINLIEST!!!!!!
What is the answer 4ax²-3b+12x²-a =
Answer:
Write the problem as a mathematical expression.
4ax²−3b+12x²−a = 4ax²+12x²−a−3b
Step-by-step explanation:
Select the values that are solutions to the inequality x2 + 3x – 4 > 0. –6 –2 0 5
The solution is Option A and Option D.
The values which will satisfy the inequality equation x² + 3x - 4 > 0 are when x = -6 and x = 5
What is an Inequality Equation?
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
x² + 3x - 4 > 0
On simplifying the equation , we get
Taking the common terms in the equation and factorizing , we get
x² + 4x - x - 4 > 0
x ( x + 4 ) - 1 ( x + 4 ) > 0
( x - 1 ) ( x + 4 ) > 0
So , the value of x which will satisfy the inequality equations are
( x - 1 ) > 0
Adding 1 on both sides of the equation , we get
x > 1
So , all the numbers greater than 1 would satisfy the inequality equation
And ,
x + 4 < 0
Subtracting 4 on both sides of the equation , we get
x < -4
So , all the numbers lesser than -4 would satisfy the inequality equation
Therefore , the inequality relation is given by 1 < x < -4
when x = -6
Substituting the values in the equation , we get
x² + 3x - 4 > 0
( -6 )² + 3 ( -6 ) - 4 > 0
36 - 18 - 4 > 0
14 > 0
Therefore , the inequality relation is true
when x = 5
Substituting the values in the equation , we get
x² + 3x - 4 > 0
5² + 3 ( 5 ) - 4 > 0
25 + 15 - 4 > 0
36 > 0
Therefore , the inequality relation is true
Hence , the values which satisfy the inequality equations are -6 and 5
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PLS HELP YEAR 8 MATHS
Answer:
c, d, and h are parallel
Step-by-step explanation:
parallel lines are when the slope is the same and the y-intercept is different
a. y = 2x - 3
b. y = -3x + 7
c. y = -2x + 4
d. y = -2x + 2
e. y = 1/3x - 3
f. y = x/2 + 7/2
g. y = -x/3 + 8/3
h. y = -2x + 5
c, d, and h all have the same slope of -2 and contain different y-intercepts
PLEASE I BEG YOU HELP !!!
Calvin withdrew $40 from his bank account every month for
3 years. How much money, did Calvin withdrawal after 3 years
Answer:
$1,440
Step-by-step explanation:
He withdrew $40 a month for 3 years. First you multiply $40 x 12 since there are 12 months in a year to see how much he spent in a year and multiply that number by 3 since he did it for 3 years.
$40 x 12 = $480
$480 x 3 = $1,440
James received a $3,000 car loan, she plans to pay it off in 2 years. James will have paid $480 of interest at the end of the two years.
What is the interest rate on the car loan?
Answer:
To use the simple interest formula, I = Prt, we substitute in the values for ... Find the principal invested if $178 interest was earned in 2 years at ... In 4 years his brother paid him back the $3,000 plus $660 in interest. ... new car loan statement said he would pay $4,866.25 in interest from ... Get Page Citation.
Step-by-step explanation:
Select the correct answer.
Simplify the following expression.
(3x^2 - 11x - 4) – (x – 2) (2x + 3)
Answer choices
5x^2 - 12x - 10
x^2 - 10x + 2
x^2 + 10x - 2
x^2 – 12x – 10
Answer:
x^2 -10x+2
Step-by-step explanation:
(3x^2 - 11x - 4) – (x – 2) (2x + 3)
FOIL
(3x^2 - 11x - 4) – (2x^2-4x+3x-6)
Combine like terms
(3x^2 - 11x - 4) – (2x^2 -x-6)
Distribute the minus sign
3x^2 - 11x - 4 – 2x^2 +x+6
Combine like terms
x^2 -10x+2
Joseph wants to earn $850 this summer in order to pay for a down payment on a car. His summer break is 6 weeks. He has been offered 3 different jobs.
Which job should he take to earn the $850 quickest? Explain your response.
Working as a cashier in a bookstore that pays $7.50 an hour and he is expected to work 25 hours per week
Working at a summer camp as a camp counselor for a flat rate of $175 per week (the camp is only 4 weeks)
Working as a sales associate at a department store that pays $7.25 an hour with 5% commission on all sales (he is expected to work 20 hours per week and projected to sell $1,350 per week)
B. Which job will not help him get to his goal of $850?
Answer:
A - Sales associate
B - Summer Camp Counselor
Step-by-step explanation:
First, lets look at how much Joseph would averagely earn from each job.
Cashier in bookstore: in 6 weeks he will earn 900
Summer camp counselor: in 4 weeks 700
Sales associate: in 4 weeks he will earn 850
Overall, becoming a Sales associate will allow Joseph to earn his $850 quicker.
B - the Summer Camp Counselor job will not allow Joseph to make $850 because Summer Camp only lasts 4 weeks.
If 5x -2 = -12 , then what does x equal
Answer: -2
Step-by-step explanation:
5x-2=-12
5x-2+2=-12+2
5x=-10
5x/5=-10/5
X=-2
5. At Costco a case of 12 boxes of macaroni
and cheese can be purchased for $18.00. How
much is each box of macaroni and cheese?
Need help big test
$1.50 for each box
Step-by-step explanation:
$18 divided by 12 boxes = $1.50 for each box
which doesnt belong and why
Answer:
C
Step-by-step explanation:
They all have and addition and subtraction pattern in each cube, thank me later - PrObLeM OcCuReD
In the article, Attitudes About Marijuana and Political Views (Psychological Reports, 1973), researchers reported on the use of cannabis by liberals and conservatives during the 1970's. To test the claim (at 1% significance) that the proportion of voters who smoked cannabis frequently was lower among conservatives, the hypotheses were
Answer:
Option B.
Step-by-step explanation:
According to the question, the data provided is as follows
\(H_o : p_1 - p_2 = 0\ (p_1 = p_2)\\\\ H_\alpha : p_1 - p_2 < 0\ (p_1 < p_2)\)
Based on the above information,
The type ii error is the error in which there is an acceptance of a non rejection with respect to the wrong null hypothesis. The type I error refers to the error in which there is a rejection of a correct null hypothesis and the type II refers that error in which it explains the failure of rejection with respect to null hypothesis that in real also it is wrong
So , the type II error is option B as we dont create any difference also the proportion is very less
27 is 30% of what number?
A 8585
B 9292
C 1212
D 90
Answer:
27 is 30% of what number?
D. 90
Step-by-step explanation:
You're welcome.
Help Please Due Soon! Find m
Answer:
{the question is asking to find the value of x not m}
The value of x is 9°
Step-by-step explanation:
8x-2°+47° = 12x+9°{an exterior angle formed by producing the side of triangle is equal to two non adjacent angle}
or, 8x+45° = 12x+9°
or, 8x-12x = 9°-45°
or, -4x = -36°
or, x = -36°/-4
or, x = 9°
Fill in the missing values to make a valid probability distribution
The missing value for the probability distribution can be completed by option A.
What is probability distribution?
A probability distribution is a mathematical function that calculates the likelihood that various possible outcomes of an experiment will occur.
Main body:
We know that the sum of probability distribution is always 1.
P= P(X=1) + P(X=2) + P(X=4) + P(X=8) + P(X=16) + P(X=32) + P(X=64)
1= 0.1 + 0.05 + 0.25 + 0.25 + 0.05 + P(X=32) + P(X=64)
P(X=32) +P(X=64) = 1-0.7
= 0.3
This condition is satisfied by option A.
hence the answer is option A.
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SmArT pEoPlE aNsWeR Yess ʸᴱˢ
Answer:D
Step-by-step explanation:
Because you have to combine like terms first
Answer:
D. Rewrite 2x + 4x as 6x
Step-by-step explanation:
Doing A,B,C will just give you the wrong answer; I don't know how to explain it better. I promise I'm smart:I'm in advanced mathematics and language arts :)
of the following, the capability index that is most desirable is a 1.00 0.75 b. 1.50 d. 0.30
The capability index that is most desirable is a. 1.00.
The capability index, often represented by Cp, is a measure of the capability of a process to consistently produce output within specified limits. It compares the spread of the process output to the width of the specification limits.
A capability index of 1.00 indicates that the process spread is equal to the width of the specification limits, indicating a high level of capability. This means that the process is able to consistently produce output that meets the desired specifications without significant deviation.
On the other hand, a capability index below 1.00 indicates that the process spread is wider than the specification limits, indicating a lower level of capability. In such cases, the process may have difficulty consistently meeting the desired specifications.
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What is y = x2 + 4x -2? I need help
Answer: (−2,−6) Focus: (−2,−234) Axis of Symmetry: x=−2 Directrix: y=−254x
Step-by-step explanation: it different ways to answer so i just give you all of them
Answer:
9 = -254x
Step-by-step explanation:
I did the test
Hope this helps :)
100 points, please answer and take time on the answer
1) The relationship between ∠2 and ∠6 is that they are alternate angles.
2) The relationship between ∠1 and ∠3 is that they are corresponding angles.
How to find the congruent angles?Corresponding angles are defined as the angles that are formed in corresponding corners with the transversal when two parallel lines are intersected by any other line.
Alternate angles are defined as the angles that are formed by the intersection of a transversal and two parallel lines.
This alternate angle could either be interior alternate or exterior alternate.
1) Since we are told that Line 1 is parallel to Line 2, then it means that from definition of alternate angles that ∠2 and ∠6 are alternate angles.
2) Since we are told that Line 1 is parallel to Line 2, then it means that from definition of corresponding angles that ∠1 and ∠3 are corresponding angles.
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Determine the amount of an
investment if $1000 is invested at an
interest rate of 8% for 6 years
Answer
480
Step-by-step explanation:
Congrats on your first question!
The investment is 480 because
(80 / 100) x 1000 = 80 x 6 = 480
The total is 1480.