Jasmine has 5 1/4 cups of frosting. She wants to put 3/8 cup of frosting on each cupcake she makes. About how many cupcakes can she make?
Your supervisor has asked you to help build the raised platform for the food court. The base needs to be made of pairs of parallel lines. Select the parallel lines from the choices below.
Maria would like to leave a tip (t) of at least 15% of her dinner bill (b). Which inequality best could be used to find the amount of the tip Maria would like to leave?
simplify 5.5a-1+21b+3a
Please help me
Final answer:
To simplify the expression 5.5a - 1 + 21b + 3a, combine like terms to get 8.5a + 21b - 1, which is the simplified form of the original expression.
Explanation:
To simplify the expression 5.5a - 1 + 21b + 3a, we need to combine like terms, which are terms that have the same variable raised to the same power. Here, 5.5a and 3a are like terms, and they can be combined by addition. There are no like terms for 21b or the constant -1, so they remain as they are.
Step 1: Combine the coefficients of like terms 5.5a and 3a: 5.5a + 3a = 8.5a.
Step 2: Rewrite the simplified expression with the combined like term: 8.5a + 21b - 1.
This is the simplified form of the original expression.
four less than 5 times a number is equal to 6 more than 3 times a number
You have to formulate an equation for this problem.
Let x = the number asked in the problem
5x – 4 = 3x + 6
Solve the equation.
5x – 3x = 6 + 4
2x = 10
X = 5
Therefore, the number is 5.
Leon works at a grocery store for $8 an hour. He also mows lawns for $10 an hour. He needs to earn at least $120 per week, but he does not want to work more than 20 hours per week. Use a system of inequalities to find a possible combination of hours he can work at the grocery store and mowing lawns in order to meet his goal.
Answer:
The data we have is:
He works for $8 an hour.
He mows lawns for $10 an hour.
He wants to work no more than 20 hours per week, and wants to hearn at least $120 week.
So if S is the number of hours he works in the store, and M is the number of hours that he mowns lawns, we have the inequalities:
S + M ≤ 20
S*$8 + M*$10 ≥ $120
So let's choose a possible solution:
Let's select M = 12 and S = 0
in this way, he worsk
0h + 12 h = 12 h that is less than 20 hours, and he wins:
0*$8 + 12*$10 = $120, which is the minimum amount of money that he wants to win.
and we have a lot of other possible solutions:
S= 1, M = 12
S = 2, M= 12.. and so on.
Use log2 3 =1.5850 and log2 2 =1 to approximate the value of the expression log2 2,304
how about the grand opening at Frankie's Burger every fourth person gets a free Sunday how many Sunday's of the first 150 dinners will receive a free Sunday?
What is the volume of this container?
Answer:
C. [tex]75000\text{ cm}^3[/tex]
Step-by-step explanation:
We have been given a container and we are asked to find the volume of our given container.
We can see that our container is made of two cuboids, so we will use volume of cuboid formula to solve our given problem.
[tex]\text{Volume of cuboid}=\text{Length*Breadth*Height}[/tex]
We can from provided image that the base cuboid (bigger) has lengths 25 cm, 40 cm and 40 cm.
The height of smaller cuboid will be 25 cm (50 cm -25 cm). The other two sides of smaller cuboid are 35 cm and 40 cm.
[tex]\text{The volume of container}=\text{Volume of the bigger cuboid + Volume of the smaller cuboid}[/tex]
Upon substituting our given values in volume formula we will get,
[tex]\text{The volume of container}=\text{25 cm*40 cm*40 cm}+\text{25 cm*35 cm* 40 cm}[/tex]
[tex]\text{The volume of container}=40000\text{ cm}^3+35000\text{ cm}^3[/tex]
[tex]\text{The volume of container}=75000\text{ cm}^3[/tex]
Therefore, the volume of our given container is [tex]75000\text{ cm}^3[/tex] and option C is the correct choice.
an angle whose measure is 50 degrees is in standard position. in which quadrant does the terminal side of the angle fall?
Solve the proportion x/6=12/9
The tires on your bicycle have a diameter of 9 inches. How many rotations does each tire make when you travel 300 feet? Round your answer to the nearest whole number.
Answer:400
Step-by-step explanation:
1 foot = 12 inch
300 by 12 = 3600
3600 divided by 9 inches = 400
You're welcome L0L
What number is equivalent to: 4 x 1,000,000,000 + 5 x 1,000,000 + 9 x 10,000 + 8 x 100 + 7 x 1?
A. 45,987
B. 459,871
C. 4,509,807
D. 4,005,090,807
If RS=59 AND ST=10x-31,find x
Answer: x=9
Step-by-step explanation:
In the given picture, we have a circle in which we have given two congruent arcs [tex]\overarc{RS}\text{ and }\overarc{TS}[/tex]
And [tex]\overline{RS}=59\text{ and }\overline{ST}=10x-31[/tex]
Since, we know that congruent arcs have congruent chords.
Therefore, [tex]\overline{RS}=\overline{ST}[/tex]
[tex]59=10x-31\\\\\Rightarrow\ 10x=59+31\\\\\Rightarrow 10x=90\\\\\Rightarrow x=\frac{90}{10}\\\\\Rightarrow x=9[/tex]
To solve the problem we must know the Chord's Equidistant From The Center Of A Circle Theorem.
Equidistance chordsIf two chords of a circle are equidistant from the center then they are congruent to each other and their corresponding arcs are also congruent.
The value of x is 9.
Given to usRS = 59,ST = 10x-31,In circle,Chord RS and chord ST are equidistant from the center. therefore,
RS = ST
[tex]59 = 10x-31\\ 59+31 = 10x\\ 90 = 10x\\\\ x= \dfrac{90}{10}\\\\ x= 9[/tex]
Hence, the value of x is 9.
Learn more about Equidistance chords:
https://brainly.com/question/2364467
vivien's handspan measure 18.5 centimeters.estimate the number of times Vivien uses her handspan to measure a length of 1 meter 75 centimeters
Final answer:
Vivien would use her handspan, which measures 18.5 centimeters, approximately 9 times to measure a length of 1 meter 75 centimeters. This estimate assumes precision in her handspan measurement.
Explanation:
To estimate the number of times Vivien uses her handspan to measure a length of 1 meter 75 centimeters, we need to divide the total length by the length of her handspan. Since Vivien's handspan measures 18.5 centimeters, and the total length to measure is 1 meter 75 centimeters (which equals 175 centimeters), we perform the following calculation:
Convert 1 meter 75 centimeters to all centimeters: 1 meter = 100 centimeters, so 1 meter 75 centimeters = 100 + 75 = 175 centimeters.Divide the total length by the length of Vivien's handspan: 175 cm/18.5 cm =9.45945945945946Round the result to the nearest whole number to estimate the number of handspans: approximately 9 times (since we typically round down when the decimal is less than 0.5).This is an estimation technique that assumes Vivien's measurement with her handspan is accurate. The accuracy of this measurement can vary based on several factors, including the precision of Vivien's handspan and the method used for measuring.
What is the first quartile, Q1, of the data set?
{36, 45, 79, 80, 82, 85, 90}
Enter your answer in the box.
Q1 = ?
Suppose one third of each of 5 same sized posters is covered with opaque paper.What fraction of the posters are Not covered by opaque paper?Explain how to use multiplication to find what part of the posters are not covered by opaque paper?
Final answer:
Two-thirds of each poster are not covered with opaque paper. Multiplying (2/3) by 5 gives us 10/3, which can be converted to 3 and 1/3, indicating that three whole posters plus one-third of another are not covered.
Explanation:
If one third of each of 5 same sized posters is covered with opaque paper, then two thirds of each poster are not covered. To find what fraction of the posters are not covered by opaque paper, you apply multiplication. You start with one poster: one-third covered means two-thirds are not covered. Represent this as 2/3. Since the question concerns 5 identical posters, you multiply the fraction of one poster (2/3) by the number of posters (5).
Mathematically, this looks like:
(2/3) × 5 = 10/3
However, 10/3 represents more than one whole, and it can be converted into a mixed number to represent the total unobstructed fraction of the posters. This is 3 and 1/3, meaning that in total, you have three whole posters and one-third of another poster not covered by opaque paper.
Please help me out I appreciate it
Iris lives 2 1/2 miles due east of the Sunnydale Mall and Raoul lives 4 1/2 miles due west of the convenience store, which is 1 1/2 miles due west if the Sunnydale Mall. How far does Iris live from Raoul?
What is the area formula for a cylinder
Use equal intervals to make a frequency table for the average number of movies per person. You do not need to show tally marks.
Country Average Number of Movies
Turkey 0.5
Japan 1.2
UK 1.3
Finland 1.3
Austria 1.5
Germany 1.8
Spain 2.2
Sweden 2.2
Denmark 2.2
Switzerland 2.5
France 2.5
Norway 3.0
Canada 3.0
US 4.5
The ranges in the frequency table are inclusive on the lower end and exclusive on the upper end.
To create a frequency table using equal intervals for the average number of movies per person, we first need to determine the intervals and then count how many countries fall into each interval.
Let's use intervals of 1.
Frequency Table:
Average Number of Movies | Number of Countries
0.5 - 1.4 | 4 (Turkey, Japan, UK, Finland)
1.5 - 2.4 | 3 (Austria, Germany, Spain)
2.5 - 3.4 | 4 (Sweden, Denmark, Switzerland, France)
3.5 - 4.4 | 2 (Norway, Canada)
4.5 - 5.4 | 1 (US)
To know more about frequency table click here :
https://brainly.com/question/9462379
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Determine the exact value of cos (11pi/6)
The value of cos (11pi/6), is -sqrt(3)/2.
To determine the exact value of cos (11π/6), we first need to understand the trigonometric values at certain angles. In this case, 11π/6 radians is equivalent to 330 degrees. Using the unit circle, we know that at 330 degrees, cosine is equivalent to -√3 / 2.
Need so much help please
Help with math? Giving 30points
Answer:
The domain is all possible values of 'x' that would make the function true. As you can see from the graph, this function goes out to infinity both ways, so all values of 'x' will satisfy the function, so your answer should be:
Step-by-step explanation:
The sum of the x-coordinates of the vertices of a triangle in the Cartesian plane equals 10. Find the sum of the x-coordinates of the midpoints of the sides of the triangle.
What would the world be like without math or money? why
For the following ,ignore leap year and assume that births on the 365 different days are equally likely.what is the probability that two people are born in the same day
assume that y varies directly with x, then solve if y=12 when x=15, find x when y=21
and can someone explain to me how they got the answer because i got 16.8
A cone-shaped tent has a diameter of 12 ft and a height of 6 ft. What is the approximate volume of the tent? Use 3.14 to approximate pi, and express your final answer as a decimal. Enter your answer in the box. ft³
Answer:
The volume of cone -shaped tent is 226.08 cubic ft.
Step-by-step explanation:
Given : A cone-shaped tent has a diameter of 12 ft and a height of 6 ft.
To find : What is the volume of the tent?
Solution : The formula of volume of cone is
[tex]V=\frac{1}{3}\pi r^{2} h[/tex]
where, r is the radius
we have given diameter = 12 =2r
r=6 ft
h is the height h=6 ft
[tex]\pi =3.14[/tex]
Substitute the value in the formula,
[tex]V=\frac{1}{3}\pi r^{2} h[/tex]
[tex]V=\frac{1}{3}\times (3.14)\times 6^{2}\times 6[/tex]
[tex]V=\frac{1}{3}\times 3.14\times 36\times 6[/tex]
[tex]V=226.08 ft^3[/tex]
Therefore, The volume of cone is 226.08 cubic ft.
Please help, I’ve been stuck on this question for about a hour now.