Answer:
D. x + 15 ≤ 60
Step-by-step explanation:
Let x be the amount you have left to spend after you purchase the shirt.
We must add to x the cost of the shirt, $15. This gives us x+15.
We only have $60 to spend; this means we can spend anything up to and including $60. This means we want "less than or equal to." This gives us the inequality
x+15 ≤ 60
The inequality of the form x + 15 ≤ 60 is the correct choice.
What is an inequality ?An inequality is a comparison between two non equal expression or terms or numbers.
According to the given question You have a gift card for your favorite clothing store for the amount of $60.
You have found a shirt you want to buy that costs $15 but you don't want to spend more than the amount of the gift card.
Assuming the amount you will have is x dollars.
∴ x + 15 ≤ 60
As x ≤ 60 - 15
x ≤ 45.
learn more about inequality here :
https://brainly.com/question/20383699
#SPJ2
Find the tax on a dinette set with a cash price of $200 that has been reduced by 20% if the tax rate is 6.5%.
2.60
10.40
11.70
13.00
Answer:
The correct option is B.
Step-by-step explanation:
The initial cash price is $200.
The cash price reduced by 20%.
20% of $200 is
[tex]200\times \frac{20}{100}=40[/tex]
The cash reduced by $40.
The new cash price is
[tex]\$200-\$40=\$160[/tex]
The tax rate is 6.5%.
6.5% of remaining cash is
[tex]160\times \frac{6.5}{100}=10.40[/tex]
Therefore option B is correct.
A machine is made up of 3 components: an upper part, a middle part, and a lower part. the machine is then assembled. 5 percent of the upper parts are defective, 4 percent of the middle parts are defective, and 1 percent of the lower parts are defective. what is the probability that a machine is not defective
Final answer:
The probability that a machine with three components (upper, middle, and lower parts) is not defective is found by multiplying the non-defective probabilities of each part. Calculating this gives a probability of 90.24% that the machine is non-defective.
Explanation:
The question asks what is the probability that a machine with three components (upper, middle, and lower parts) is not defective. To calculate this, we first note the probability of each part being non-defective:
Upper part non-defective probability = 95% (since 5% are defective, 100%-5% = 95%)
Middle part non-defective probability = 96% (since 4% are defective, 100%-4% = 96%)
Lower part non-defective probability = 99% (since 1% are defective, 100%-1% = 99%)
Since the machine is not defective only if all three parts are non-defective, we multiply these probabilities together:
Probability(machine is non-defective) = Probability(upper is non-defective) * Probability(middle is non-defective) * Probability(lower is non-defective)
Probability(machine is non-defective) = 0.95 * 0.96 * 0.99 = 0.9024 or 90.24%
The senior class has 412 students. They are assigned to different homerooms. There are 28 students in the smallest homeroom and the remaining 12 homerooms have the same number of students. How many students are in each of the remaining 12 homerooms?
There are 32 students in each of the remaining 12 homerooms.
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
Total students in a senior class = 412 students.
Total number of students in the smallest homeroom = 28
And, 12 homerooms have the same number of students.
Let number of students in each of 12 homerooms = x
So, Total number of students in each of 12 homerooms = 12x
Then, We can formulate;
12x + 28 = 412
Solve for x as;
12x + 28 = 412
Subtract 28 as;
12x + 28 - 28 = 412 - 28
12x = 384
Divide by 12;
x = 32
Thus, There are 32 students in each of the remaining 12 homerooms.
Learn more about the linear expression visit:
https://brainly.com/question/19961655
#SPJ2
Please help! First rewrite 17/18 and 11/12 so that they have a common denominator then use <, =, or > to order 17/18 and 11/12
Find a second-degree polynomial p such that p(2) = 5, p'(2) = 6, and p''(2) = 4.
A car rents for $250 per week plus $0.50 per mile.find the rental cost for a two-week trip of 500 miles for a group of three people
The total cost of a two-week car rental for a trip of 500 miles, split three ways, is $250 per person.
Explanation:In this calculation, we'll break down the costs into two parts: the weekly rental cost and the mileage cost. The car rents for $250 per week which, for two weeks, is $250 x 2 = $500. The cost for mileage is $0.50 per mile, hence for 500 miles, it will be $0.50 x 500 = $250. Adding these two gives us the total cost, $500 + $250 = $750 for the trip.
It's also mentioned that there are three people sharing this cost. So, the cost per person would be $750 divided by 3 which gives us $250 per person for the two-week trip of 500 miles.
Learn more about Cost Calculation here:https://brainly.com/question/34783456
#SPJ2
Which graph represents the inequality y<−1+2x?
Answer:
bottom left
Step-by-step explanation:
One evening, 2/3 of the students in Rick's class watched television.
A heavy truck and a light car are traveling at the same speed on the same roadway. if the coefficients of static friction between their tires and the road are the same, which vehicle will be able to stop in the shortest distance? assume both have the same braking force.
Find two fractions with the difference of 1/5 but with neither denominator equal to 5? I know the answer from Google but how is it solved?
About 4/5 of all orange juice in the world is produced in Brazil. About what percent of all the orange juice in the world is produced in Brazil?
The formula for the circumference C of a circle, in terms of the radius, is C=2πr, where r stands for the radius. Rearrange the quantities in this formula to give a new formula for the radius of a circle in terms of the circumference.
A. r= 2C/3.14
B. r=3.14/2C
C. r=C/2(3.14)
D. r= 1/2(3.14)C
To get the radius of a circle in terms of circumference, divide the formula for the circumference by 2π, thus r=C/(2π). The correct option is C: r=C/2(3.14), considering 3.14 is the approximate value of π.
Explanation:The formula for the circumference of a circle is given by C=2πr. We are asked to rearrange this formula to make the radius (r) the subject of the formula. To achieve this, we divide both sides of the equation by 2π.
So, dividing both sides of the equation by 2π gives r=C/(2π).
Looking at your options, Option C: r=C/2(3.14), is correct if we consider 3.14 to be the value of π. Therefore, the radius of a circle in terms of the circumference is given by r=C/(2π).
Learn more about Rearranging Formula here:https://brainly.com/question/40333765
#SPJ12
a line has a slope of -2/3 and passes through the point -3, 8 what is the equation of the line
Answer:
[tex]y=-\frac{2}{3}x+6[/tex]
Step-by-step explanation:
we have been give that
slope, m = -2/3
The line passes through the point (-3,8).
Hence, [tex]x_1=-3,y_1=8[/tex]
The point slope form of a line is
[tex]y-y_1=m(x-x_1)[/tex]
Substituting the known values
[tex]y-8=-\frac{2}{3}(x-(-3))[/tex]
On simplifying, we get
[tex]y-8=-\frac{2}{3}x-2\\\\y=-\frac{2}{3}x+6[/tex]
Thus, equation of line is [tex]y=-\frac{2}{3}x+6[/tex]
Line s is the perpendicular bisector of JK. If line s intersects JK at point L, which of the following statements must be true? Check all that apply. A. Line s is perpendicular to JK B. JL = KL C. Line s is parallel to JK D. Point L is the midpoint of JK E. Line s intersects JK at a 180 angle
Line s, being the perpendicular bisector of JK, must be perpendicular to JK at point L, making JL equal to KL and meaning that point L is the midpoint of JK.
Explanation:If line s is the perpendicular bisector of segment JK and intersects it at point L, we can determine several truths about the geometric relationship between these elements:
A. Line s is perpendicular to JK: Yes, this is true because by definition, a perpendicular bisector not only cuts a line segment into two equal parts but also does so at a 90° angle.B. JL = KL: This statement must also be true. Since line s is a bisector, it divides JK into two equal parts, hence JL (the length from J to L) is equal to KL (the length from K to L).D. Point L is the midpoint of JK: True again, as the point where the perpendicular bisector intersects the line segment is known as the midpoint, implying that point L is equidistant from both J and K.Statements C and E are incorrect. Line s cannot be parallel to JK as it intersects it, and a 180° angle refers to a straight line, not the angle formed by a perpendicular intersection.
Find the radius of a circle with the given circumference.
15 ft.
r =
A.30 ft.
B.30 ft.
C.7.5 ft.
D.7.5 ft.
Answer: [tex]\dfrac{7.5}{\pi}\ ft[/tex]
Step-by-step explanation:
We know that , the circumference of a circle is given by :-
[tex]C=2\pi r[/tex] , where r is the radius of the circle.
Formula for radius :
[tex]r=\dfrac{C}{2\pi}[/tex] , where C is the circumference of the circle.
Given : Circumference of circle = 15 ft.
Then , the radius of a circle will be :-
[tex]r=\dfrac{15}{2\pi}=\dfrac{7.5}{\pi}\ ft[/tex]
Hence, the radius of a circle= [tex]\dfrac{7.5}{\pi}\ ft[/tex]
True or false? If you took a true "if-then" statement, inserted a not in each clause l, and reversed the clauses, the statement would also be true
A pinewood derby car can be at most 2 3/4 inches wide. About how many pinwood derby cars can be displayed side-by-side on a shelf that is 31 1/2 inches long?
About 5 11/22 pinewood derby cars can be displayed side-by-side on a shelf that is 31 1/2 inches long.
Explanation:To find out how many pinewood derby cars can be displayed side-by-side on a shelf, we need to divide the length of the shelf by the width of each car. The shelf is 31 1/2 inches long, and each car can be at most 2 3/4 inches wide. So we divide 31 1/2 by 2 3/4:
Therefore, about 5 11/22 pinewood derby cars can be displayed side-by-side on the shelf.
Learn more about Number of pinewood derby cars that can be displayed on a shelf here:https://brainly.com/question/14246823
#SPJ3
How do you graph a circle x^2 + y^2=25 and the line is given y=2
Please help me with all three! 25 Points!!
Use distributive property to rewrite each product below. Simplify your answer
a). 28x63
b). 17(59)
c). 458(15)
a. 28 * 63
28 (60) + 28 (3) or 20 (60) +20 (3) + 8 (60) + 8 (3)
1680 + 84=1764 1200 / 60 +480 +24=1764
b. 17(59)
17 (50) + 17 (9) or 10 (50) + 10 (9) + 7 (50) +7 (3)
850 + 153=1003 500 + 90 + 63 =1003
c.458 (15)
458 (10) +458 (5) or 10 (400) + 10 (50) + 10 (8) + 5 (400) +5 (50) + 5 (8)
4580 +2290 = 6870 400 + 500 + 80 + 2000 + 250 + 40 = 6870
My work is kinda confusing but hope it helped
Help ASAP please and thank you
Which of these statements is true?
A) 4 x 5 – 7 + 9 = 28
B) 4 x 5 – (7 + 9) = 22
C) 4 x 5 – (7 + 9) = 4
D) 4 x 5 – 7 + 9 = 44
which of the following numbers does not belong here? 64, 16, 36, 32, 8, 4
Mr. Obama would like his daughter to attend Harvard in 6 years when she finishes high school. Mr. Obama would like to invest enough money in a certificate of deposit (CD) now to pay for his daughter’s college expenses. If he estimates that he will need $250 thousand in 5 years, how much should he invest now in a CD that has a rate of 2.8% compounded monthly?
manual travel 2 hours non-stop to Mexico a total of 90 miles. He took a train part of the way, which averaged 60 mph, and then took a bus the remaining distance, which averaged 30mph. How long was Manuel on the train?
Simplify.
16.3 – (–4.2) + 15.9
16.3 - (-4.2) +15.9 =
16.3 + 4.2 + 15.9 =
36.4
"Solve the equation"
Answer:
y = 3 1/13
Step-by-step explanation:
Add 3 and combine like terms:
... (2 3/5)y = 8
Multiply by the reciprocal of the coefficient of y.
... y = 8 · (5/13) = 40/13
... y = 3 1/13
_____
Check
(3/5)(3 1/13) - 3 + 2(3 1/13) = 5
(3/5)(40/13) - 39/13 + 2(40/13) = 5 . . . . express everything with 13 as a denominator
24/13 - 39/13 + 80/13 = 5 . . . . . eliminate parentheses
(24 -39 +80)/13 = 5 . . . . . . . . . . add the fractions
65/13 = 5
5 = 5 . . . . . the answer checks
Shakira went bowling with her friends. She paid $3 to rent shoes and then $4.75 for each game of bowling. If she spent a total of $21, then how many games did Shakira bowl?
A number p minus 19 algebraic expression
Answer:
Expression p - 19 .
Step-by-step explanation:
Given : A number p minus 19 algebraic expression.
To find : Write expression .
Solution : We have given A number p minus 19 .
A number = p .
According to question :
p is minus 19
We can see the number p is less than 19
So , p - 19 .
Therefore, Expression p - 19 .
How many numbers in the data set are within 1 standard deviation of the mean?
a.13
b.14
c.15
d.16
G find the point on the plane x + 4y + 2z =14 closest to the point (1,1,1)
Answer:
(4/3, 7/3, 5/3)
Step-by-step explanation:
The line perpendicular to the plane through the point will be ...
... (x, y, z) = (1, 1, 1) +t(1, 4, 2)
Using this expression for (x, y, z), we can find the point on the line where it intersects the plane. That point is the one of interest.
... (1 +t) +4(1 +4t) +2(1 +2t) = 14 . . . . . substituting for (x, y, z) in the equation of the plane
... 7 +21t = 14 . . . . . collect terms
... 21t = 7 . . . . . . . . subtract 7
... t = 7/21 = 1/3 . . . divide by 21
The point of interest is ...
... (x, y, z) = (1, 1, 1) + (1/3)(1, 4, 2) = (1 1/3, 2 1/3, 1 2/3)