15q – 4r = 62
5q + 8r = 86
Find for r and q
Answers
Answer:
r=7 q=6
Step-by-step explanation:
15q - 4r = 62
15 × 6 - 4 × 7 = 62
90 - 28 = 62
5q + 8r = 86
5 × 6 + 8 × 7 = 86
30 + 56 = 86
Hope this helps! If you have any more questions or need more explanation please leave a comment down below and I will reply ASAP. Good luck!
step by step explanation:
Related Questions
What is the perimeter of the actual garden?
Answers
Answer:
62.5 cm
Step-by-step explanation:
8.5 × 2.5 = 21.25 cm
4 × 2.5 = 10 cm
(10 cm × 2) + (21.25 cm × 2) = 62.5
-Therefore, 62.5 cm as the perimeter is the correct answer.
8.5x2.5=21.5
(10x2)+(21.5x2)
20+43=63
Julia loves collecting baskets. Every month she adds two new baskets to her collection. In the month of March she has 60 baskets. She’s worried she will soon run out of room in her apartment to keep her baskets. Write an equation that represents the percent of change of her basket collection from the beginning of the year to the end of the year, then solve.
Answers
The linear function that represents the amount of baskets in the xth month of the year is given as follows:
The percentage of her collection that she needs to get rid of is of 3.85%.
Linear Function:-
The definition of a linear function is:
y = b + mx
In which the parameters of the equation are given as follows:
•b is the value of y when x=0
•m is the rate of change for each unit of x
Every month she adds 2 new baskets to her collection, hence the slope is of : m = 2
Then: y = b + 2x
From the March amount, when x = 3, y = 60, hence the intercept b is given as follows:
60 = b + 6
b = 54
Hence the equation is: y = 54 + 2x
At the end of the year (12 months) the amount of baskets that she will have is of:
y = 54 + 2 × 12 = 78
Hence, she has to get rid of 3 baskets, as 78 - 75 = 3, and the percentage is of:
p = 3/78 × 100% = 3.85%.
Answer:
Step-by-step explanation: The linear function that represents the number of baskets in the month of the year is given as follows:
The percentage of her collection that she needs to get rid of is of 3.85%.
The definition of a linear function is:
y = b + mx
In which the parameters of the equation are given as follows:
•b is the value of y when x=0
•m is the rate of change for each unit of x
Every month she adds 2 new baskets to her collection, hence the slope is: m = 2
Then: y = b + 2x
From the March amount, when x = 3, y = 60, hence the intercept b is given as follows:
60 = b + 6
b = 54
Hence the equation is: y = 54 + 2x
At the end of the year (12 months) the number of baskets that she will have is:
y = 54 + 2 × 12 = 78
Hence, she has to get rid of 3 baskets, as 78 - 75 = 3, and the percentage is of:
p = 3/78 × 100% = 3.85%.
On a scavenger hunt, you find 16 out of 20 objects. Write "16 out of 20" as a fraction in simplest form, a decimal, and a percent.
Answers
Decimal: 0.8
Percentage:8
Hi there, here's your answer:
According to the question, we find 16 out of 20 objects.
To express this in a fraction at its simplest form,
We first write down the fraction.
\(\frac{16}{20}\)
The HCF of 16 and 20 is 4.
On dividing the numerator and denominator by 4, we get: \(\frac{4}{5}\)
To express \(\frac{4}{5}\) as a decimal:
Observe the denominator. We know that 5×2 = 10
On multiplying the numerator and denominator by 2, we get \(\frac{8}{10}\)
Which, in decimal form, is 0.8
To express \(\frac{16}{20}\) as a percentage,
We simply multiply the fraction by 100.
\(\frac{16}{20}\) × \(100\) \(= 16\) × \(5 = 80\)%
Therefore, 16 out of 20 in percentage is written as 80%.
Hope it helps!
A grid model with 50 squares. 25 squares are shaded.
The grid model expressed as a ratio of shaded squares to total squares is
.
Written as an equivalent fraction, it is
.
Written as a decimal, it is
.
Written as a percent, it is
.
Answers
Answer:
1st 25/50
2nd=1/2
3rd=0.50
4th=50
Step-by-step explanation:
hope this helps:)
Answer:
1st 25/50
2nd=1/2
3rd=0.50
4th=50
Step-by-step explanation:
definetly didint copy this answer
Describe how the data is dispersed in a box plot with the following data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.
AND PLEASE ACTUALLY EXPLAIN/DESCRIBE!
Answers
In a box plot, also known as a box-and-whisker plot, the data is dispersed and represented visually to provide a summary of the distribution and key characteristics of the dataset. Let's describe how the data is dispersed in the box plot for the given data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.
1. Median (Q2): The median represents the middle value of the dataset when arranged in ascending order. In this case, the median is around 27 or 28, as it lies between the values 27 and 30.2. Lower Quartile (Q1): The lower quartile marks the boundary between the lower 25% of the data and the upper 75%. It is located approximately around 22 or 23, as it falls between the values 21 and 24.3. Upper Quartile (Q3): The upper quartile marks the boundary between the lower 75% of the data and the upper 25%. It is located around 34 or 35, as it lies between the values 33 and 36.4. Interquartile Range (IQR): The IQR is the range between the upper and lower quartiles (Q3 - Q1). In this case, the IQR is approximately 12 (35 - 23).5. Whiskers: The whiskers represent the range of the data excluding any outliers. They extend from the lower quartile (Q1) to the minimum value and from the upper quartile (Q3) to the maximum value. However, in some cases, the whiskers can also be defined based on certain criteria, such as 1.5 times the IQR. Outliers, if present, are depicted as individual data points beyond the whiskers.6. Outliers: Outliers are data points that significantly deviate from the rest of the dataset. In this case, there are no clear outliers based on the data provided.7. Box: The box in the box plot spans from the lower quartile (Q1) to the upper quartile (Q3) and represents the middle 50% of the data. In this case, the box spans approximately from 23 to 35.By observing the box plot, we can see that the data is moderately dispersed, with the majority of values concentrated around the median. The range of the data is approximately 20 to 38, with some variability within the dataset.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Minimum value: 18
First quartile (Q1): 22
Median: 29
Third quartile (Q3): 36
Maximum value: 38
The box plot is created using these values. A box is drawn from Q1 to Q3 with a line inside the box at the median. Whiskers are drawn from the box to the minimum and maximum values. Any data points beyond the whiskers are plotted as individual points.
In this box plot, the data is dispersed fairly evenly, with no outliers beyond the whiskers. The box is centered around the median, indicating that the data is roughly symmetric. The lower half of the data is slightly more spread out than the upper half, as indicated by the longer whisker on the left side of the box. Overall, the box plot shows that the data is relatively consistent, with no extreme values.
You have a pizza with diameter 12
2
3 in., and a square box that is 12.65 in. across. Write 12
2
3 as a decimal. Can you fit the pizza inside the box?
What is the decimal expansion for 12
2
3?
A.12.6
B.12.65
C.12.6
D.12.66
pls help me
Answers
Answer:
D is the right choice and no you cannot fit the pizza inside the box.
Step-by-step explanation:
D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.
Answer:
I believe the answer is D.
Step-by-step explanation:
please answer quickly
Answers
Answer:
37.5
Step-by-step explanation:
cosФ = \(\frac{A}{H}\)
cos(33°35') = \(\frac{m}{45}\)
m = 45 × cos(33°35')
m = 37.5 (1d.p.)
what does Striking deviations mean? Or overall patterns
Answers
Answer:
Striking Deviations AKA Outliers are FAR from the box plot
Step-by-step explanation:
Merry Christams Eve!
Thanks for always helping me!
Answers
Answer:
Merry xMAS!!!
Step-by-step explanation:
Answer:
Merry Christmas Eve 2 u too
Step-by-step explanation:
What is the domain of y = cos(2x)?
A.
[-2, 2]
B.
[0, 0)
OC. (-0,00)
D.
[0, 1]
![What is the domain of y = cos(2x)?A.[-2, 2]B.[0, 0)OC. (-0,00)D.[0, 1]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/ORti8ji65trmbmPV55Z7UZ3KjgJCrjfq.png)
Answers
Answer:
A
Step-by-step explanation:
The domain of sin x and cos x is [ - 1, 1]
For 2x then the multiply by 2
I... I did it... Thanks-
Answers
Answer:
YAYYYYYY!!!!!!
Step-by-step explanation:
Congrats?? Lol
answer: good job
explanation:(ﾉ◕ヮ◕)ﾉ
If xx and y vary directly and y is 21 when x is 7, find y when x is 5
Answers
Answer:
y = 15
Step-by-step explanation:
We need to solve for k
y = x
21 = 7k Divide both sides by 7 to solve for k
3 = k
y = xk
y = 5(3)
y = 15
Answer: y = 15
Step-by-step explanation:
How should I write an equation for these lines?!?!?
Answers
Answer:
A= x=-4
B= x=4
C= y=4
D= y=-2
Step-by-step explanation:
Help me !!!!!!!!!!!!!!
Answers
What is the surface area of the figure in square centimeters?
Enter your answer as a number, like this: 42
Answers
Answer:
36
Step-by-step explanation:
4 time 2 equal 8
3 time 2 equal 6
6 time 2 equal 12
5 time 2 equal 10
10+12+6+8=36
5x6=30
4x6=24
3x6=18
4x3=12/2=6
4x3=12/2=6
Total: 84
At the store you want to buy a bunch of 3d printed Christmas gifts for your family. Each large tree costs $4.50 , and each small tree costs $2.25, If you buy 4 large trees, and can spend a total of $50. Write and solve an inequality for number of small trees (s) you can buy
Answers
We know that each large tree costs $4.50, and each small tree costs $2.25. If you buy 4 large trees, that means you will spend 4 * $4.50 = $<<4*4.5=18>>18 on large trees.
If you can spend a total of $50, then you have $50 - $18 = $<<50-18=32>>32 to spend on small trees.
The total cost of the small trees will be s * $2.25, where s is the number of small trees you buy.
To find the maximum number of small trees you can buy, we can set this expression equal to $32 and solve for s:
s * $2.25 = $32
s = $32 / $2.25
s = 14.22
Since you can't buy a fraction of a tree, the maximum number of small trees you can buy is 14.
Answer:
If each large tree costs 4.50 and you need to buy 4, then 4 x 4.50 = $18.00 leaving you with $32.00. With these 32 dollars left, you can now buy 14 small trees, still being left with a remainder of 0.50$.
Step-by-step explanation:
For a school project, Derek is investigating cell phone use in his hometown, Somerville. So far, he has found that the residents of Somerville used their cell phones for 11,609 minutes this year. Compared to last year, that is 30% more. For how many minutes did the residents of Somerville use their cell phones last year?
Answers
Answer:
Therefore, the residents of Somerville used their cell phones for approximately 8,930 minutes last year.
Step-by-step explanation:
To find out how many minutes the residents of Somerville used their cell phones last year, we can use the information given that this year's cell phone usage is 30% more than last year's.
Let's assume the cell phone usage last year was represented by the variable "x" (in minutes).
According to the information given, this year's cell phone usage is 30% more than last year's, so we can express this as:
x + 0.3x = 11609
Combining like terms, we have:
1.3x = 11609
To isolate the variable, we divide both sides of the equation by 1.3:
x = 11609 / 1.3
Simplifying the calculation, we find:
x ≈ 8930
Answer:
Therefore, the residents of Somerville used their cell phones for approximately 8,930 minutes last year.
Step-by-step explanation:
To find out how many minutes the residents of Somerville used their cell phones last year, we can use the information given that this year's cell phone usage is 30% more than last year's.
Let's assume the cell phone usage last year was represented by the variable "x" (in minutes).
NEED HELP! WILL GIVE 20 POINTS!!! Which graph represents the equation f(x)=4x −2
?
Answers
Answer:
The second graph represents the equation f(x) = 4x - 2.
Step-by-step explanation:
Given that the equation for a linear function is f(x) = mx+b, m being the slope and b the y intercept,
The y-intercept (-2) matches the same one from graph 1 and 2.
However, With the slope being 4, only the 2nd graph works, since graph one's slope is 1/4.
The answer is: The second graph represents the equation f(x) = 4x - 2.
Answer: The second graph.
Step-by-step explanation: If you look at the equation you will see that the y-intercept will be -2. You can also see that there is a (4x) and when you see that think of (x) as 1. So, you will move up 4 and over 1 to the right. The opposite would be down 4 and over 1 to the left
bobby has two poatatos he wants more so he pick 100 mor he sharees them amongst three friends EQUALY how many poatatos does each friend get?
Answers
Answer:
34
Step-by-step explanation:
If bobby already has 2 potatoes and picks 100 more, then he already has 102 potatoes. Now all you have to do is divide 102 by 3, which would be 34. If bobby is included with the friends, then all four of them would get 25.5 potatoes.
Answer: The answer is each friend gets 34 potatos
Step-by-step explanation: Each friend get 34 potatos because he first had 2 and then he picks 100 more so now he has 102. All you have to do know is divide 102 by 3 and you will get 34.
Which of the following statements is true?
Answers
Answer:
D
Step-by-step explanation:
Options A & B are multiplied by improper fractions. Therefore,
54 × (5/3) > 54 not < 54
28 × (3/2) > 28 not < 28
Option C should be 49 × (3/7) < 49 not > 49
Whole numbers multiplied by fractions should be smaller.
Hence, option D is the right answer.
Note: Try multiplying like this
(54×5)/3 _ 54
(28×3)/2 _ 28
(49×3)/7 _ 49
(140×2)/5 _ 140
Answer:
d
Step-by-step explanation:
Please I don't have much time Help me please!!!
Answers
Answer:
C
Step-by-step explanation:
The shape moves to the left by 8 and up by 7.
Answer:
C
Step-by-step explanation:
on the x axis the shape moves 8 to the right and on the y it moves 7 up
PLEASE HELP WITH INEQUALITIES
Answers
Answer: 1 is greater 2 is less 3 is greater 4 is less
Step-by-step explanation:
Answer:
28. x > 1 (greater than)
29. x </= -1 (less than or equal to)
30. x >/= 3 (greater than or equal to)
31. x < 0 (less than)
Step-by-step explanation:
If the circle on the graph is open, it's "less than" or "greater than", but not "equal to". The open circle means that number is excluded from the answer set.
If the circle on the graph is closed, it's "less than or equal to" or "greater than or equal to"
Then the "less than" or "greater than" part depends on which way your arrow is pointing.
Please lmk if you have questions.
Study the dashed arrows in the image.
A diagram of the Earth rotating on its axis. A red horizontal line through the center of the Earth shows the Equator. A double headed arrow runs vertically through the center of the Earth and is labeled Intended path. A line begins at the bottom right of the Earth, curves to pass through the center, and ends in the top right.
What causes the arrows to move in this direction?
Earth rotating
air moving to the poles
Earth’s equator
wind moving over short distances
Answers
Answer:
earth rotaiting
Why is the ratio of two integers always a rational number?
Answers
Answer: Rational numbers are numbers that can be written as a ratio of two integers.
Step-by-step explanation:
Answer: By definition, that is why they are called rational. They usually look like fractions: an integer in the numerator and an integer in the denominator.
Step-by-step explanation: Decimal equivalents of fractions are also rational numbers. Some decimal equivalents are not actually rational because the values they represent are not rational. For example: Pi. and the square roots of most integers 2,3,5,6...
The angle of elevation of a cliff top from a small boat on the sea is 36º. The boat is 100m from the foot of the vertical cliff. Draw a diagram, and then calculate the height of the cliff.
Answers
Answer:
72.65m (2dp) is the height of the cliff
Step-by-step explanation:
The height of the cliff can be calculated using trigonometry
Since we know the angle of elevation and the adjacent = side of the angle, and we are looking for the opposite side of the angle, which say is h, we will use tan since we are not dealing with the hypotenuse
tan(36) = h/100
100tan(36) = h
h = 72.65m (2dp)
I have attached a diagram as reference
Fill in the chart to estimate the amount of each type of food that each
family will receive. Use compatible numbers to help you estimate.
Answers
Answer:
1. 113.4/9=12.6
2. 6.6/12= 0.55= 0.6
3. 28.5/10= 2.85= 2.9
4. 18.92/11= 1.72= 1.7
5. 5.37/3= 1.79= 1.8
Step-by-step explanation:
Answer:
Step-by-step explanation:
Can Someone Help Me Please? I am offering 100 points!
Geraldine is graphing the inequality x less-than 6. Which statements below describe steps she may take to graph the inequality correctly? Check all that apply.
Draw an open circle at 6.
Draw a closed circle at 6.
Shade all numbers less than 6.
Shade all numbers greater than 6.
Shade all numbers to the right of 6.
Shade all numbers to the left of 6.
Answers
Answer:
shade all numbers less than 6
shade all numbers to the left of 6
Step-by-step explanation:
i believe this is the answer because if you graph x<6, you can see that the shaded area is to the left of 6 (numbers less than 6).
Desmos graphing calculator helps
Answer:
3, & 6
Step-by-step explanation:
Jamie has collection of 800 coins of these coins 40% are dated before 1990 and the rest are dated after 1990 how many coins in jamie's collection are dated after 1990?
Answers
Answer:
840
Step-by-step explanation:
Answer:
320.
Step-by-step explanation:
40% of 80 is 320.
Jamie had 320 coins after 1990.
hope this helps.
How are each of the following percent applications different, and how are they the same? Solve each problem, and then compare your solution process for each problem.
a. Silvio earns 10% for each car sale he makes while working at a used car dealership. If he sells a used car for $2,000, what is his commission?
b. Tu’s family stayed at a hotel for 10 nights on their vacation. The hotel charged a 10% room tax, per night. How much did they pay in room taxes if the room cost $200 per night?
c. Eric bought a new computer and printer online. He had to pay 10% in shipping fees. The items totaled $2,000. How much did the shipping cost?
d. Selena had her wedding rehearsal dinner at a restaurant. The restaurant’s policy is that gratuity is included in the bill for large parties. Her father said the food and service were exceptional, so he wanted to leave an extra 10% tip on the total amount of the bill. If the dinner bill totaled $2,000, how much money did her father leave as the extra tip?
Answers
Systems By Graphing - Solve All Correctly For a Thanks, 5-Stars, And A Brianliest!
Answers
Answer:
Step-by-step explanation:
Amari= Graph C and Solution is (-6,-2)
Bella= Graph A and Solution is (3,4)
Carl= Graph B and Solution is (0,-3)
0 solutions because the slopes are the same. The lines will never cross because they are at the exact same angle.
No, I do not agree with Joey because the lines have different slopes and will lead to the system cross which is the solution.
1st graph: y=2x-1 and y=7 solution #1= (4,7)
2nd graph: y=-2x-3 and y=1/2x solution #2= (-2,1)
3rd graph: y=x and y= -1/5+6 solution #3= (5,5)
I had this exact same assignment a few months ago, my teacher didn't use the 2nd slide but I had the 1st and 3rd slide so this should help!