Jeremy has saved $440 from his summer job. He plans to set aside $55 each week for his expenses. Several weeks later he has $110 left.How many weeks have passed?
To find out how many weeks have passed, we subtract the remaining amount from the initial amount, and then divide by the amount saved each week. In this case, 6 weeks have passed.
Explanation:To find out how many weeks have passed, we need to subtract the remaining amount from the initial amount, and then divide by the amount saved each week.
Initial amount saved = $440
Amount saved each week = $55
Remaining amount = $110
Weeks passed = (Initial amount saved - Remaining amount) / Amount saved each week
= ($440 - $110) / $55
= $330 / $55
= 6 weeks
Therefore, 6 weeks have passed.
in circle P, chord AB is 3 inches from the center and chord CD is 5 inches from the center. Chord CD is ____ than chord AB.
A. longer
B. congruent
C.shorter
D. proportional
Please help me on this
The expression 3/4×1/2 represents a fraction of a circle that is shaded. Which diagram shows the correct shading?
Order
please least to greatest
Kasimir rode his bike 34,478 centimeters. He converts the distance to kilometers. His work is shown below.
A.Kasimir should have divided by 10,000.
B.Kasimir should have multiplied by 100.
C.Kasimir should have divided by 100,000.
D.Kasimir should have multiplied by 0.001.
Answer:
c) Kasimir should have divided by 100,000.
Step-by-step explanation:
Given that Kasimir rode his bike 34,478 centimeters.
We have the table
10 mm=1 cm
10 cm =1dm
10dm = 1 m
...
Hence we have 100 cm = 1 m
100x1000 cm = 1 km
1 km = 34478/100000 = 0.34478
Hence C) is right
Kasimir should have divided by 100,000.
Chang and Cal both collect pearls. Chang has three more pearls in her collection than Cal. Write an expression to represent the total number of pearls in both collections.
Jesse has a storage container in the shape of a right rectangular prism. The volume of the container is 43.875 cubic meters, the length is 5 meters and the width is 3.9 meters.
What is the height of Jesse's storage container?
I NEED HELP!!!!!!!!!!!!!!!!!!!!!!! :(
Answer:
2.25 meters
Step-by-step explanation:
all you have to do is divide the volume of the container (43.875) by 5 (length) and 3.9 (width) because the formula for the volume of a rectangular prism is V=lwh. So the answer/height of the storage container is 2.25 meters.
Look at the following math problems. 10 + 2 = 12 12 − 2 = 10 What are these operations called?
They are called inverse operations:
55% of 387 is what number
What’s the surface area
Ellen is drawing two polygons one of the polygons has 3 more angles than the other what shape could she be drawing
Answer:
Step-by-step explanation:
The attachment shows different types of polygons.
Now depending on these we have following five possibilities:
Case 1: Triangle and hexagon
If first polygon is triangle with three angles, the second will have 6 angles and the second polygon will be hexagon.
Case 2: Quadrilateral and heptagon
If first polygon is quadrilateral with 4 angles, the second will have 4+3 =7 angles and the second polygon will be heptagon.
Case 3: Pentagon and Octagon
If first polygon is pentagon with 5 angles, the second will have 5+3=8 angles and the second polygon will be octagon.
Case 4: Hexagon and Nonagon
If first polygon is hexagon with 6 angles, the second will have 6+3=9 angles and the second polygon will be nonagon.
Case 5: Heptagon and Decagon
If first polygon is Heptagon with 7 angles, the second will have 7+3=10 angles and the second polygon will be decagon.
Depend on the possibilities, which figure Ellen is drawing.
What is polygon?A closed, two-dimensional form with straight line segments is called a polygon. It does not have three dimensions. A polygon has flat surfaces throughout. A polygon must have three sides at a minimum. Only at its terminal must each side of a line segment cross another line segment. Depending on a polygon's number of sides.
Given Ellen is drawing two polygons one of the polygons has 3 more angles than the other,
Now, based on these, there are the five options listed below:
Case 1: Hexagon and triangle
If the first polygon is a triangle with three angles, the second polygon will be a hexagon with six angles.
Case 2: Heptagon and quadrilateral
If the first polygon has a quadrilateral shape and four angles, the second polygon will have four plus three more angles, making it a heptagon.
Pentagon and Octagon in Case 3
If the first polygon has a pentagon shape with five angles, the second will have an octagon shape with five plus three equals eight angles.
Hexagon and Nonagon in Case 4
If the first polygon has a hexagon shape and 6 angles, the second will have 6 + 3 = 9 angles and be a nonagon.
Heptagon and Decagon in Case 5
if the initial polygon is a hexagon, then The first polygon has 7 angles, the second has 7+3=10 angles, and the third is a decagon.
Hence the shape of polygon depend on these possibilities.
Learn more about polygon;
https://brainly.com/question/24464711
#SPJ2
Convert. Into degrees
The average rate of change from x = 0 to x = 15 is about −4.667. How does the average rate of change from x = 0 to x = 20 compare to this number?
Suppose that the height of the slide is 2 feet, when x = 20. What is the average rate of change over the entire slide?
The average rate of change over the entire slide is -0.05.
The average rate of change from x = 0 to x = 15 is calculated by finding the slope of the secant line that intersects the graph of the function at x = 0 and x = 15.
The slope of the secant line is:
m = ([tex]y_2[/tex] - [tex]y_1[/tex])/([tex]x_2[/tex] - [tex]x_1[/tex])
= (-2 - 15)/(15 - 0)
= -17/15
= -1.133
The average rate of change from x = 0 to x = 20 is calculated by finding the slope of the secant line that intersects the graph of the function at x = 0 and x = 20.
The slope of the secant line is:
m = ([tex]y_2[/tex] - [tex]y_1[/tex])/([tex]x_2[/tex] - [tex]x_1[/tex])
= (2 - 15)/(20 - 0)
= -13/20
= -0.65
The average rate of change from x = 0 to x = 20 is smaller than the average rate of change from x = 0 to x = 15.
This is because the slope of the secant line is getting closer to 0 as the interval gets larger.
If the height of the slide is 2 feet when x = 20, then the average rate of change over the entire slide is:
m = ([tex]y_2[/tex] - [tex]y_1[/tex])/([tex]x_2[/tex] - [tex]x_1[/tex])
= (2 - 1)/(20 - 0)
= -1/20
= -0.05
The average rate of change over the entire slide is also negative, but it is much smaller than the average rate of change from x = 0 to x = 15.
This is because the slope of the secant line is getting closer to 0 as the interval gets larger.
To learn more about average here:
https://brainly.com/question/34817150
#SPJ3
in the right triangle what is the value of pq
In this Pythagorean theorem question, The value of pq in the right triangle is 8 cm. Therefore, the correct answer is option C.
The given triangle is a right triangle, with two sides measuring 17 cm and 15 cm. The side opposite the right angle (perpendicular) is represented by the variable pq.
To find the value of pq, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. So, applying the Pythagorean theorem:
a2 + b2 = c2
(15 cm)2 + pq2 = (17 cm)2
225 cm2 + pq2 = 289 cm2
pq2 = 289 cm2 - 225 cm2
pq2 = 64
pq = √64
pq = 8 cm
Learn more about Pythagorean theorem here:
https://brainly.com/question/28361847
#SPJ6
the sales tax on a $350 computer is $22.75 find the sales tax
Quadrilateral ABCD is inscribed in a circle. What’s the measure of angle B
Factor 64 – x15. (4 – x3)(16 + 4x3 + x3) (4 – x3)(16 + 4x3 + x6) (4 – x5)(16 + 4x5 + x5) (4 – x5)(16 + 4x5 + x10)
Answer:
Option d) [tex](4-x^5)(16+x^{10}+4x^5)[/tex]
Step-by-step explanation:
We are given the following in the question.
[tex]64-x^{15}[/tex]
We have to factorize the given expression.
Using the algebraic identity:
[tex]a^3 - b^3 = (a-b)(a^2+b^2+ab) = (a-b)^3 +3ab(a-b)[/tex]
[tex]64-x^{15}\\\\(4)^3 - (x^5)^3\\\\(4 - x^5)(4^2 + (x^5)^2 + 4x^5)\\\\(4-x^5)(16+x^{10}+4x^5)[/tex]
Hence, the factors of given expression is given by option d) [tex](4-x^5)(16+x^{10}+4x^5)[/tex]
Ling must spend no more than $40.00 on decorations for a party. She has spent $10.00 on streamers and wants to buy bags of balloons as well. Each bag of balloons costs $2.50. The inequality below represents x, the number of bags she can buy given the spending limit and how much she has already spent on streamers.
10+2.5X_<40
Which best describes the number of bags of balloons she can buy?
A.She can buy from 0 to 12 bags, but no more.
B.She can buy from 0 to 20 bags, but no more.
C.She must buy 12 or more bags.
D.She must buy 20 or more bags.
Answer:
Option A is the correct choice.
Step-by-step explanation:
We have been given that Ling must spend no more than $40.00 on decorations for a party. She has spent $10.00 on streamers and wants to buy bags of balloons as well. Each bag of balloons costs $2.50.
The inequality [tex]10+2.5x\leq 40[/tex] represents x, the number of bags she can buy given the spending limit and how much she has already spent on streamers.
Let us solve for x by subtracting 10 from both sides of our inequality.
[tex]10-10+2.5x\leq 40-10[/tex]
[tex]2.5x\leq 30[/tex]
Now we will divide both sides of our inequality by 2.5.
[tex]\frac{2.5x}{2.5}\leq \frac{30}{2.5}[/tex]
[tex]x\leq 12[/tex]
Therefore, Ling can buy from 0 to 12 bags, but no more and option A is the correct choice.
PLZ HELP Harry baked a cake in the shape of a right rectangular prism and cut it in half parallel to the base of the cake. The base is 6 inches long and
4 inches wide, and the cake is 5 inches tall. Harry puts icing on the surface of each half of the cake. What is the shape of the cross section? What is the total area that is iced?
The cake’s cross section is a . The total area that is iced is square inches.
1/a.rectangle.b.square.c.kite.d.trapezoid
2/a.40.b.48.c.60.d.84
The answer is B, a square. I don't know about the area though.
David and Ryan go to the movie theater and purchase refreshments for their friends. David spends a total of $24.75 on 3 bags of popcorn and 5 drinks. Ryan spends a total of $33.00 on 9 bags of popcorn and 4 drinks. Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink. Using these equations, determine and state the price of a drink, to the nearest cent.
Final answer:
To find the price of one drink, we create a system of equations based on the purchases at the movie theater and solve it using the elimination method. The calculated price of one drink is $3.75, to the nearest cent.
Explanation:
David and Ryan's purchases at the movie theater can be represented by the following system of equations to find the price of one bag of popcorn (p) and one drink (d):
3p + 5d = 24.75
9p + 4d = 33.00
We'll solve this system using the substitution or elimination method. For this example, we will use the elimination method.
Multiply the first equation by 9 and the second by 3 to equalize the coefficients for p:
(3p + 5d) × 9 → 27p + 45d = 222.75
(9p + 4d) × 3 → 27p + 12d = 99.00
Subtract the second equation from the first:
27p + 45d - (27p + 12d) = 222.75 - 99.00
33d = 123.75
Divide by 33 to find the price of one drink:
d = 123.75 / 33
d = 3.75
So, the price of one drink is $3.75, to the nearest cent.
why is one half of the Box wider than the other half of the box
Jim has a quarter and Jane has a number cube. In two or more complete sentences, explain why Jim is just as likely to get a head as Jane is to get an even number.
Jim is just as likely to get a head as Jane is to get an even number since the chance or probability of getting a head for Jim and getting a even number for Jane are equal i.e. 1/2=0.5
Step-by-step explanation:In a quarter there are just two outcomes-- Head and Tail
The probability of getting a head is: 1/2
Similarly in a number cube that has six possible outcomes i.e. {1,2,3,4,5,6}
The number of outcomes that represents a even number are: 3
(Since outcomes are: 2,4 and 6)
Hence, the probability of getting a even number is: 3/6=1/2
Hence, we see that the probability of getting a head and a even number is same.
What is it defining?
A car maintains a speed of 23 mi/h for 5 seconds. It then accelerates to a speed of 46 mi/h in 5 seconds. It maintains that speed for the next 5 seconds. Which graph shows the car’s speed over time?
(80 points)
A car maintains a speed of 23 mi/h for 5 seconds. It then accelerates to a speed of 46 mi/h in 5 seconds. It maintains that speed for the next 5 seconds. Which graph shows the car’s speed over time?
Solution:
The graph is Time versus Speed.
In figure (a), the graph has a speed or y-axis=23mi/h for time or x-axis=5seconds.
The car maintains a speed of 23mi/h for 5 seconds.
For next 5 seconds, in figure a the graph increases linearly or we have a acceleration and reaches to 46mi/h.
It accelerates to a speed of 46 mi/h in 5 seconds.
It maintains that speed for the next 5 seconds. In figure (a), after we reach speed=46mi/h, there is a straight line for 5 seconds at speed=46mi/h.
So, Answer Graph a
Explain when you know you need to rename a mixed number to subtract.
It took Jen, who biked at a speed of 12 mph, 20 minutes to get home. What is Jim’s speed, if it took him only 15 minutes to bike that distance?
Answer:
16 mph
Step-by-step explanation:
Define oblique prism.
An oblique prism can be thought of as a leaning prism where the altitude or height of the prism is not the same as the lateral edge of the prims.
Gabriel wants to solve the equation 5/8 m=25. What step should he do to get m by itself on one side of the equation?
Final answer:
To solve the equation 5/8 m = 25, Gabriel needs to multiply both sides of the equation by the reciprocal of 5/8, which is 8/5, to isolate m on one side. The result after simplification is m = 40.
Explanation:
To solve the equation 5/8 m = 25, Gabriel needs to isolate the variable m on one side of the equation. He should start by multiplying both sides of the equation by the reciprocal of the fraction that is multiplied by m, which is 8/5. Here's the step-by-step process:
Multiply both sides of the equation by 8/5 to cancel out the 5/8 on the left side:
(8/5) × (5/8) m = (8/5) × 25
Simplify the left side by canceling out the common factors in the fraction:
1 m = (8/5) × 25
Next, multiply the number 25 by 8/5 to find the value of m:
m = 25 × (8/5) = 40
Thus, the solution to the equation is m = 40.
5.65 times 3.4 estimate