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Dexter has a gift card for $20.00 to an electronics store. He also has a coupon for 25% off his entire purchase, so he will be paying 75% of the total cost. He plans to buy a video game for $10.00 and batteries for $2.00. Select the equation that represents how much money will be left on his gift card after his purchases if x represents his remaining balance.
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Answer:
The linear equation that represent the situation is [tex]x=20-0.75(10+2)[/tex]
The remaining balance on his gift card is [tex]\$11[/tex]
Step-by-step explanation:
Let
x------> represents the remaining balance
we know that
The linear equation that represent the situation is equal to
[tex]x=20-0.75(10+2)[/tex]
Solve
[tex]x=20-0.75(12)[/tex]
[tex]x=20-9[/tex]
[tex]x=\$11[/tex]
Answer:
its B
Step-by-step explanation:
You ask randomly chosen students which candidate they will vote for in the upcoming election. A total of 50 students in the sample said they will vote for Candidate A. There are 2500 students in the school. Find the number of students in the sample who said they will vote for Candidate C. Then predict the number of students in the school who will vote for Candidate C.
You ask randomly chosen students which candidate they will vote for in the upcoming election. A total of 50 students in the sample said they will vote for Candidate A. There are 2500 students in the school. Find the number of students in the sample who said they will vote for Candidate C. Then predict the number of students in the school who will vote for Candidate C.
You ask randomly chosen students which candidate they will vote for in the upcoming election. A total of 50 students in the sample said they will vote for Candidate A. There are 2500 students in the school. Find the number of students in the sample who said they will vote for Candidate C. Then predict the number of students in the school who will vote for Candidate C. Candidate A is 25%, Candidate B is 15%, and Candidate C is 60%.
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Final answer:
The sample size is calculated to be 200 based on the percentage for Candidate A. From the sample, 120 students said they will vote for Candidate C. Predicting based on this sample, 1,500 students in the school will vote for Candidate C.
Explanation:
To find the number of students in the sample who said they will vote for Candidate C, we need to use the percentages given for each candidate. If Candidate A is 25%, Candidate B is 15%, and Candidate C is 60%, and knowing that 50 students in the sample voted for Candidate A, we can determine the total sample size. Since Candidate A represents 25% of the sample, we can calculate the total sample size using the equation 50 = 0.25 × (total sample size). Solving for total sample size gives us 200.
With the sample size known, we can calculate the number of students who said they will vote for Candidate C by taking 60% of 200, which is 120 students in the sample. To predict the number of students in the school who will vote for Candidate C, we use the proportion of the sample who choose Candidate C to estimate the proportion for the entire school population. Since there are 2,500 students in the school, we predict that 60% of 2,500 will vote for Candidate C, which amounts to 1,500 students.
Determine the length of the missing side in each of the right triangles below using the Pythagorean Theorem: a2 + b2 = c2.
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[tex] {13}^{2} = {5}^{2} + {b}^{2} \\ {b}^{2} = {13}^{2} - {5}^{2} \\ b {}^{2} = 169 - 25 = 144 [/tex]
[tex]b = \sqrt{144} = 12[/tex]
good luck
Darnell rented a moving truck.The weight of the empty truck was 7,860 pounds.When Darnell filled the truck with his items,it weighed 6 tons.what was the weight in pounds of the items was Darnell placed in the truck? show the work
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Multiply by 6.
6 ton = 12,000 lb
The problem statement tells you
(truck weight) + (Darnell's items) = 12,000 lb
7,860 lb + (Darnell's items) = 12,000 lb
Subtracting the weight of the truck gives
(Darnell's items) = (12,000 -7,860) lb = 4,140 lb
The weight of items Darnell placed in the truck was 4,140 lb.
Please give accurate answer. I will give Brainliest. 20 points for answer.
You have to travel 3/4 mile to get home. Each city block is 1/20 mile long. How many blocks do you have to travel?
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what is equivalent to sin^-1(sqrt.3/2)
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Answer:
[tex]\frac{\pi }{3}[/tex]
Step-by-step explanation:
[tex]sin^{-1}(\frac{\sqrt{3} }{2})[/tex]
In, 30-60-90 degree triangle ,
the sides are in the ratio [tex]1: \sqrt{3} :2[/tex]
[tex]sin(60)= \frac{opposite}{hypotenuse}[/tex]
for 60 degree, opposite side = square root (3)
hypotenuse = 2
So [tex]sin(60)= \frac{\sqrt{3}}{2}[/tex]
when we move sin to the other side then it becomes sin^-1
[tex]60= sin^{-1}\frac{\sqrt{3}}{2}[/tex]
angle 60 degree is [tex]\frac{\pi }{3}[/tex]
[tex]sin^{-1}(\frac{\sqrt{3} }{2})=\frac{\pi }{3}[/tex]
The expression that is equivalent to sin⁻¹(sqrt. 3/2) is π/3.
What is the equivalent expression?The expression that is equivalent to another is one that yields the same output no matter the arrangement of the figures and signs.
For the expression, sin⁻¹(sqrt. 3/2), the equivalent can be obtained thus;
sin 60 = opposite/hypotenuse
sin 60 = √3/2
60 = sine⁻¹√3/2
= π/3.
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The radius of circle O is 24,and OC = 11. What is the length of AB?
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42.7
Answer: The correct option is (A) 42.7 units.
Step-by-step explanation: Given that the radius of the circle center at O is 24 units and OC is 11 units.
We are to find the length of chord AB.
We have,
in the right-angled triangle OCB (m∠OCB = 90°),
OB = 24 units and OC = 11 units.
Using Pythagoras theorem in ΔOCB, we have
[tex]OB^2=OC^2+BC^2\\\\\Rightarrow BC=\sqrt{OB^2-OC^2}\\\\\Rightarrow BC=\sqrt{24^2-11^2}\\\\\Rightarrow BC=\sqrt{576-121}\\\\\Rightarrow BC=\sqrt{455}\\\\\Rightarrow BC=21.33.[/tex]
Since OC is perpendicular to chord AB, so AC = BC.
Therefore, we get
[tex]AB=AC+BC=2\times BC=2\times 21.33=42.66=42.7.[/tex]
Thus, the required length of AB is 42.7 units.
Option (A) is CORRECT.
Choose all that give the correct expression.
A) Steven lost four $10 bills, and now he has −$40. −4 × 10
B) If I lose 8 pounds per month for 3 months, my weight will change −24 pounds total. 3 × (−8)
C) Sarah spends $2 for each fare on the commuter train. She rides the train 10 times during a week. 2 × (−10)
D) Pat and Amy were on a diet for 4 months. Pat lost an average of 3 pounds a month, and Amy lost an average of 4 pounds a month. 4((−3) + (−4))
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B. because losing 8 pounds is represented as -8 and doing this for 3 months would be 3 groups of -8 or 3 x -8
D. because they showed the weight loss as a negative integer and then put those into groups of 4 each using the distributive property)
The error with the other 2 choices is that the negative number is not correctly representing which part of the problem is a decrease. The negative sign is placed on the number of groups of.
Answer:
the answer would be A B and D
Step-by-step explanation:
had to figure it out myself -.-
What does the absolute value of a number tell you
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Example: -4 = 4 and +4 = 4
Hope this helped c:
the sum is a prime number the sum is less than 4
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There is no such sum of two numbers that is a prime number and less than 4.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
It is not possible to have a sum of two numbers that is a prime number and less than 4.
The only possible sums of two numbers less than 4 are:
1 + 1 = 2
1 + 2 = 3
2 + 2 = 4
Out of these, only 2 and 3 are prime numbers.
However, the sum of any two numbers less than 4 that is equal to 2 or 3 necessarily involves at least one number equal to 1, and 1 is not a prime number.
Therefore,
There is no such sum of two numbers that is a prime number and less than 4.
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Is there a direct proportion in 2y-5=x? If there is one, what is the constant of proportionality?
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=========================================
Explanation:
Solve for y
2y-5 = x
2y = x+5
y = (x+5)/2
y = (x/2) + (5/2)
y = 0.5x + 2.5
The last equation is in the form y = mx+b where m = 0.5 is the slope and b = 2.5 is the y intercept. The y intercept must be b = 0 in order for the graph to go through the origin. Since b = 2.5 is not zero, this is why we don't have a direct proportion.
Note: direct proportions are often written in the form y = k*x which is basically y = mx+b, but the m has been replaced with k and the b is removed (because b = 0)
Which of the values for x and y make the equation 3x + 4y + 6 = 26 true?
x = 4, y = 2
x = 5, y = 6
x = 4, y = 3
x = 3, y = 5
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Using polar coordinates to find area inside a rectangle.
The vertices are (0,0), (0,4), (2,4), (2,0).
This is a calculus level question, please help :(
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Use the vertices to find the length and width of the rectangle:
Length = (0,0) (0,4) = 0-0 = 0, 4-0 = 4
Length = 4
Width = (0,0) (2,0) = 2-0 = 2, 0-0 = 0 = 2
Width = 0
Area = 4 x 2 = 8 square units
What is radius???????
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A radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length. Set up the formula for the area of a circle. The formula is A = π r 2 it equals the area of the circle, and r equals the radius.
Solve for the radius.
Plug the area into the formula.
Divide the area by.
Take the square root.
rate of 33.00 for 11 pounds of meat
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hope this helps :)
In 1980 the population in Detroit, Michigan was approximately 1, 200, 000. If the population decreased at an annual rate of 14.6% over the next decade What was the population of Detroit in 1990, 10 years later
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1,200,000-175,200=1,024,800
PLEASE HELP!! surface area of composite figures..
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Cut the shape into shapes you know the area of and do the formula this helps
On a number line, point S has coordinate –1.6 and point T has coordinate –6.5.
Which expressions represent the distance between point S and point T?
Choose all answers that are correct.
A. [1.6+(-6.5)]
B. [-1.6-(-6.5)]
C. [-6.5-(-1.6)]
D. [-6.5-1.6]
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Answer:
I am 96 percent it is c
Hope this helped!!!!
Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?
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the following scatter plot demonstrates that there is a positive correlation between the two quantities.
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SOMEONE HELP ME FOR 50 POINTS AND I WILL GIVE BRAINLIEST ANSWER WHOEVER EXPLAINS HELP HELP HELP HELP HELP!!!!!
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Question 7. attached.
Question 8. x=6 y=3
Question 9. have graph attached.
First image is question 9, second is 7, third is 6
ayeee i know you i think
how to solve -6<-2x<14
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-6 < -2x < 14
We're trying to solve for x. To solve for x, we must isolate x.
So, let's divide everything by -2!
-6 ÷ -2 < -2x ÷ -2 < 14 ÷ -2
**Remember : when dividing by a negative number, you MUST switch the sign! So, if the sign is ">" then we switch it to "<" and the other way around **
3 > x > -7
So, our answer is : → 3 > x > -7
~Hope I helped!~
Which graph represents the given inequality?
y > 4x - 2
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For graph 1, take a point (0,0).
substituting it we get,
y>4x-2 ⇒ 0>-2. This is true yet the region where (0,0) is, is shaded. So, wrong graph.
For graph 2, take point (0,0).
y>4x-2 ⇒ 0>-2. This is true but againt the region is shaded. so, wrong graph.
For graph 3, take point (0,0)
y>4x-2 ⇒ 0>-2. This is true. Since the point (0,0) is in this region, which is not shaded, it means that this is the required region. The correct graph is graph 3.
the annual health insurance premium for Ms. Everett is $12,304 her employer says 70% of the premium and deducts the remainder from her paycheck Ms. Everett is paid monthly what amount is deducted from Ms. Everett paycheck for her health insurance premium.
$141.97
$307.60
$331.26
$717.73
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Her portion will be $3,691.20
If you spread that out over 12 months (3,691.20/12) it comes out to $307.60
To find the amount deducted from Ms. Everett's paycheck for her health insurance premium, calculate 70% of the annual premium, subtract the employer's contribution, and divide by 12 for the monthly deduction, resulting in $307.60. The correct answer is B.
To calculate the amount deducted from Ms. Everett's paycheck for her health insurance premium, first, find 70% of the annual premium:
70% of $12,304 = 0.70 x $12,304 = $8,612.80
The remainder that Ms. Everett must pay is the annual premium minus the employer's contribution: $12,304 - $8,612.80 = $3,691.20
Since Ms. Everett is paid monthly, divide the annual amount by 12 to find the monthly deduction: $3,691.20 ÷ 12 = $307.60
Therefore, the amount deducted from Ms. Everett's paycheck for her health insurance premium is $307.60.
A bargain bin contains classical and rock and CDs. There are 60 CDs in the bin. Choosing a rock CD have the same number of favorable outcomes. How many rocks CDs are in the bin
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The bin should contain 30 rock CDs, which constitutes half of the total CDs (60). This conclusion is reached by dividing the total number of CDs by 2, as the question implies an equal probability of picking a rock or classical CD.
Explanation:The question pertains to the concept of probability in mathematics. Here, the total number of CDs is specified as 60. If choosing a rock CD has the same number of favorable outcomes, it means that half of the CDs are rock CDs (as the other half would then be classical CDs). So, to find the number of rock CDs in the bin, you simply divide the total number of CDs by 2. Here, 60 CDs divided by 2 equals 30. Thus, there are 30 rock CDs in the bin.
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Please Answer if you can!
I have 5 questions.
1. Ron is seeking a loan with a simple interest rate of 7% per year. He wants to borrow $4,500.
How much will he be charged in interest after 36 months?
A. $9,450
B. $945
C. $11,340
D. $5,445
2. In Texas the state sales tax rate is 6%. Beth purchases a washing machine at $420.00 and a dryer for $360.00.
How much will Beth's total be including state sales tax?
A. $445.20
B. $826.80
C. $780.00
D. $46.80
3. Mrs. Garland bought x number of shirts for the new members of her chorus. The cost for x number of shirts, including $3.99 shipping, was $77.49. Each shirt costs $12.25. There was no sales tax on the purchase. Which equation can be used to find x, total number of shirts purchased?
A. 3.99x + 2.25 = 77.49
B. 3.99(x + 12.25) = 77.49
C. 12.25x + 3.99 = 77.49
D. 12.25(x + 3.99) =77.49
4. Efua and Ngozi go to McDonalds. They each order 1 item off the $1 menu. How much will they pay with 8% tax?
A. $0.16
B. $2.08
C. $54
D. $2.16
5. Hanane eats at a restaurant. The service is poor, so she only leaves a 5% tip on a $50 bill. What was the total bill including tip?
A. $52.50
B. $25
C. $2.50
D. $55
Thanks!
Answers
[tex]4500 \times 7\% \\ = 4500 \times \dfrac{7}{100} \\ = 315[/tex]
36 months = 3 years
[tex]315 \times 3 = 945[/tex]
Answer is B.
2.
[tex]420 + 360 = 780 \\ 780 \times 106\% \\ = 780 \times \dfrac{106}{100} \\ = 826.8[/tex]
Answer is B.
3. Answer is C.
4.
[tex]1 + 1 = 2 \\ 2 \times 108\% \\ = 2 \times \frac{108}{100} \\ = 2.16[/tex]
Answer is D.
5.
[tex]50 \times 105\% \\ = 50 \times \frac{105}{100} \\ = 52.5[/tex]
Answer is A.
Hope this helps. - M
for 1 i got $945.
For 2 i got $826.80.
For 3 i got c.
For 4 i got $2.16.
For 5 i got $52.50
PQ bisects ∠SPY. m∠SPQ =[tex] \frac{11}{2}
[/tex] x-5 and m∠YPQ= 4x- [tex] \frac{5}{2} [/tex]
Solve for x and find m∠SPY
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Since PQ bisects the angle, the two angles formed by the bisector are equal:
11/2x - 5 = 4x - 5/2
We will first multiply everything by 2 to eliminate the fractions:
(11/2x)*2 - 5*2 = 4x*2 - (5/2)*2
11x - 10 = 8x - 5
Subtract 8x from each side:
11x - 10 - 8x = 8x - 5 - 8x
3x - 10 = -5
Add 10 to both sides:
3x - 10 + 10 = -5 + 10
3x = 5
Divide both sides by 3:
3x/3 = 5/3
x = 5/3
Now we will plug this in for x in both smaller angles and add them together to find the measure of ∠SPY:
11/2(5/3) - 5 + 4(5/3) - 5/2
55/6 - 5 + 20/3 - 5/2
We will rewrite everything using a denominator of 6:
55/6 - 30/6 + 40/6 - 15/6 = (55-30+40-15)/6 = 50/6 = 8 2/6 = 8 1/3°
35x^7+15x^5-10x^3/5x^3
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35x⁷ + 15x⁵ - 10/5
35x⁷ + 15x⁵ - 2
the cost of $27 to produce 2 cameras $105 to produce 4 cameras whats the total cost to produce 5 cameras
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a number is chosen at random from 1 to 50. find the probability of selecting divisors of 12
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First of all, we need to know how many divisors 12 has.
12: 1, 2, 3, 4, 6, 12
Since there are 6 divisors of 12, this means the probability is 6/50.
You could just stick with 6/50 as your answer, but most probability is measured in percents so we'll convert 6/50 into a percent.
Percents are measured out of 100, so to make 6/50 into a percent we need to do some cross-multiplying.
[tex] \frac{6}{50} = \frac{x}{100} [/tex]
First, multiply 6 by 100
6 × 100 = 600
Next, divide the product by 50.
600 ÷ 50 = 12
So, your final answer is:
As a ratio:
[tex] \frac{6}{50} = \frac{12}{100} [/tex]
As a fraction:
12/100 or 6/50
As a percent:
12%
Hope this helps!