System:
5b+2m=5.5
6b+10m=12.3
Variables:
b = cost of bananas
m = cost of mangoes
Explanation:
Zachary bought 5 bananas and 2 mangoes so you multiply each by the cost of them (5b and 2m) and then add them together (5b+2m) to find the total cost (5.5). This is the same for Olivia. If you solve the system you can figure out how much the bananas and mangoes cost.
The cost of the bananas and the mangoes will be $0.80 and $0.75, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Zachary went into a supermarket and purchased 5 bananas and 2 mangos, costing a sum of $5.50. Olivia went into a similar supermarket and purchased 6 bananas and 10 mangos, costing a sum of $12.30.
Let 'x' be the cost of a banana and 'y' be the cost of a mango. Then the equation is given as,
5x + 2y = 5.50 ...1
6x + 10y = 12.30 ...2
From equations 1 and 2, then we have
6x + 10[(5.50 - 5x) / 2] = 12.30
6x + 27.5 - 25x = 12.30
19x = 15.2
x = $0.8
Then the value of the variable 'y' is given as,
5(0.8) + 2y = 5.50
4 + 2y = 5.5
2y = 1.5
y = $0.75
The cost of the bananas and the mangoes will be $0.80 and $0.75, respectively.
More about the solution of the equation link is given below.
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Evaluate the expression:
4 x (10+8) + 3 to the power of 2
Thank u!
Answer:
Step-by-step explanation:
81
I'm posting this question again because I seriously need help with it and it's only 8th grade math
Answer:
Step-by-step explanation:
Remember to put >= or <= for solid lines and < and > for dashed
1. =y >= 1/3x -4
2. y < 2x
3. y>= 3
4. y<= -3/2x +4
Answer: add some description not just the picture also I think you just have to count them like the (-) and the (+) with the numbers on the side
Step-by-step explanation:
Can someone help, please
The answer to this is
(0, -13/10)
__________________________________________________________
To find the y-intercept, substitute in 0 for x and solve for y.
(Like my profile picture)
The price of milk increased from $3.25 to $3.75. What is the percent of change for the price of milk to the nearest tenth?
Answer:
15 % increase
Step-by-step explanation:
Hello. This is a very quick question, that requires little effort. I am currently working on my math assignment, and for the project I have to measure five different people. Unfortunately, I don't have enough people to measure. You will get 100 points just for answering this :) But if you do a troll answer, I'll report you :)
"Using a tape measure or ruler, measure the length (in inches) of a person’s left foot and then measure the length (in inches) of that same person’s forearm (between their wrist and elbow). Refer to the diagrams below. You will have two measurements for each person."
My foot is 17 inches and my forearm is 43 inches
im tired of typing. sorry mb, the question is in the first picture though!!1 asnwers in the other pic
What is the coefficient in the expression 5 − 6?
Group of answer choices
6
5x-6
5
5x
Thank u!
Answer:
9
hope you like it
Answer:
5
Step-by-step explanation:
coefficient is the number before the variable (x)
2(m + 2) =22 Describe what it means to distribute the 2 to each term inside the parenthesis
Answer:
Step-by-step explanation:[tex]\frac{2(m+2)}{2}[/tex]
step 1
2(m+2)=22=2x11
step 2
:[tex]\frac{2(m+2)}{2}=\frac{2*11}{2}[/tex]
step 3
(m+2)=11
step 4
m=11-2=9
Answer: (see below)
Step-by-step explanation:
2 distributed to each term inside 2(m + 2) looks like this:
2m + 4
first multiply 2xm, then 2x2
Now you have an expression where you can solve for m:
2m + 4 = 22
2m = 22 - 4 = 18
m = 18/2 = 9
Help. I'll mark as brainlist.
Answer:
SUT and TUS
Step-by-step explanation:
Answer: Angle U, Angle SUT
Step-by-step explanation:
Angle U- the point of the angle
Angle STU- the points of the angle
Question. {Please explain your answer}
(Which statement correctly describe the data shown in the scatter plot?)
A. The scatter plot shows no association.
B. The scatter plot shows a linear association.
C. The point (2, 14) is an outlier.
D. The scatter plot shows a negative association.
Answer:
The scatter plot shows a (positive) Liner association.
Step-by-step explanation:
just by looking at the graph, you can see a positive correlation for each point, because they line up to form an almost straight line upward. I hope this helped!
Describe a math tool you could use to determine if a relation is a function. Explain how you would use it. Select all that apply.
Multiple select question
A)
I could use a mapping diagram. If more than one arrow points from an input value to the output values, I know it is not a function.
B)
I could use a straight object like a pencil. If the pencil intersects a graph at more than one point when it is held vertically, I know it is not a function.
C)
I could use a table. If I see that there is more than one output for an input, then the relation is a function.
D)
I could use a straight object like a pencil. If the pencil intersects a graph at more than one point when it is held horizontally, I know it is not a function.
E)
I could use a mapping diagram. If more than one arrow points from an output value to the input values, I know it is not a function.
Answer:
C, Identify the input values. Identify the output values. If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function.
Under standard atmospheric conditions, water will not remain a liquid if its temperature is less than or equal to 0°C or if it is greater than or equal to 100°C. Suppose you have a cup of water that is room temperature, or 20°C.
a. Write a compound inequality to represent the number of degrees of Celsius c that the temperature of the cup must change to longer be liquid.
Ur mom
Anyways it would be 74 cilces and 4 farnheight
Which of the following sequences represents an arithmetic sequence?
A -5, -3, -1, 1, ...
B -7, -4, 1, 4, ...
C 1, 4, 9, 16, ...
D 2, -4, 8, -16, ...
Answer:
Step-by-step explanation:
Question
Which of the following sequences represents an arithmetic sequence?
A -5, -3, -1, 1, ...
B -7, -4, 1, 4, ...
C 1, 4, 9, 16, ...
D 2, -4, 8, -16, ...
Solve each word problem. Show your work and include the correct units.
1. Each side of a square barn is 9 meters long.
a. What is the barn’s perimeter? ___________________
b. What is the barn’s area? ___________________
2. A rectangular piece of metal is 10 inches wide and 14 inches long.
a. What is the perimeter? ___________________
b. What is the area? ___________________
3. A rectangular cornfield has a length of 7 kilometres and an area of 63 square
kilometres.
a. What is the width of the cornfield? ___________________
b. What will be the area if the length and width are doubled? ______________
4. Eric has 54 yards of fencing to use for a flowerbed. Some possible measurements are
shown below. For which flowerbeds does Eric have enough fencing? Color in all the
possible answers.
A.
length = 30 yards
area = 300 square yards
B.
length = 20 yards
width = 5 yards
C.
width = 12 yards
perimeter = 48 yards
D.
length = 26 yards
width = 22 yards
E.
length = 16 yards
width = 14 yards
F.
width = 9 yards
area = 162 square yard
Answer:
Step-by-step explanation:
1
perimeter = 9 · 4 = 36 m
area = 9² = 81 m²
2
perimeter = (10+14) · 2 = 24 · 2 = 48 in
area = 10 · 14 = 140 in²
3
width = 63 : 7 = 9 km
9 · 2 = 18 km
7 · 2 = 14 km
area = 18 · 14 = 252 km²
4
A 300 : 30 = 10
(10 + 30) · 2 = 40 · 2 = 80 (no)
B
(20 + 5) ·2 = 25 · 2 = 50 yd (ok)
C
perimeter is 48 yd (ok)
D
(22 +26) · 2 = 48 · 2 = 96 yd (no)
E
(16 + 14) · 2 = 30 · 2 = 60 yd (no)
F
length = 162 : 9 = 18 yd
(18 +9) · 2 = 27 · 2 = 54 yd (ok)
Answer:
1
perimeter = 9 · 4 = 36 m
area = 9² = 81 m²
2
perimeter = (10+14) · 2 = 24 · 2 = 48 in
area = 10 · 14 = 140 in²
3
width = 63 : 7 = 9 km
9 · 2 = 18 km
7 · 2 = 14 km
area = 18 · 14 = 252 km²
4
A 300 : 30 = 10
(10 + 30) · 2 = 40 · 2 = 80 (no)
B
(20 + 5) ·2 = 25 · 2 = 50 yd (ok)
C
perimeter is 48 yd (ok)
D
(22 +26) · 2 = 48 · 2 = 96 yd (no)
E
(16 + 14) · 2 = 30 · 2 = 60 yd (no)
F
length = 162 : 9 = 18 yd
(18 +9) · 2 = 27 · 2 = 54 yd (ok)
Step-by-step explanation:
Carmela mixes 3/4 kilograms of walnuts, 1/2 kilograms of almonds,and 1/4 kilograms of pecans together. She divides the mixed nuts into 3/10 kilogram bags. How many bags of mixed nuts does she have. PLEASE HELP DUE TOMORROW.
Answer:
5 bags of mixed nuts.
Step-by-step explanation:
First, we add the amount of nuts together.
3/4 + 1/4 = 1
1 + 1/2 = 1 1/2
1 1/2 = 3/2 as an improper fraction.
Then we divide 3/2 by 3/10
To divide fractions, use "Keep, Switch, Flip"
Keep the first number, switch the sign, and flip the second fraction.
3/2 * 10/3 = 30/6 = 5.
do this one [tex]x +4+9999999999[/tex]
Answer:
10000000003x
Step-by-step explanation:
x+4+9999999999
Solution
Given,
or, x+10000000003
Therefore,
Ans=10000000003x
Simplified answer:
x + 100000000003
Step-by-step explanation:
x + 4 + 99999999999 = x + 100000000003
Can someone help, please
Answer:9/4, simplified it is 2 and 1/4, or 2.25
Step-by-step explanation: y value moves up from 1 to 10, x value moves right from 6 to 10.
Answer: 9/4
work:
1-10=-9
6-10=-4
There are 15 sedans on a used car lot, along with 54 other vehicles.
What is the probability that a randomly selected vehicle will be a sedan?
Write your answer as a fraction or whole number.
Answer:
5/23
Step-by-step explanation:
54+15=69
15/69=5/23
The Probability of selecting a sedan is 22%.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The degree to which something is likely to happen is basically what probability means.
Given that there are 15 sedans and 54 other vehicles, the total number of vehicles on the lot is:
Total number of vehicles
= Number of sedans + Number of other vehicles
= 15 + 54
= 69
So, the Probability of selecting a sedan
= Number of sedans / Total number of vehicles
= 15 / 69
= 5/23
= 0.22
= 22%
Learn more about Probability here:
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please
help me im doing homework need help understanding
Answer:
-4,840.5
Step-by-step explanation:
-5000 is negative already and then you are working with 5/10's aka 1/2 so -4,840.5 would be the most logical answer!
While Zihao was pooping, Zihao-2 ringed to the door. Find the speed of Zihao to open the door, when toilet is on 25 m in front of the door for 5 sec
Answer:
Until you wipe
Step-by-step explanation:
Why would you open the door if your still on the toilet and haven't wiped?
Ruby has tangerines and watermelons in a ratio of 83:25. How many tangerines does she have if she has 50 watermelons? On the double number line below, fill in the given values, then use multiplication or division to find the missing value.
Answer:
166:50
Step-by-step explanation:
25 x 2 = 50
82 x 2= 166
Will you need to change the inequality sign in the problem 5x+2+5x<16? Explain your answer. 20 Points
Answer:
no
Step-by-step explanation:
10x+2 < 16
10x < 14
x <14/10
Do not change sign because you are not dividing by a negative number
Mr. F's bathtub drains at a rate of 2 gallons per minute but fills at 3.5 gallons per minute. After a 4000-calorie dinner, Mr. F forgot to close the drain before filling his 60 gallon tub. How long did it take for the tub to fill? Express your answer in minutes.
Can someone help, please
The standard equation is y=mx+b. The "m" in the equation symbolizes the slope. The question's equation is [tex]y=\frac{2}{9} +2[/tex].
[tex]y=mx+b\\y=\frac{2}{9} +2[/tex]
Which value matches the "m"? [tex]\frac{2}{9}[/tex]
Thus, the slope in this equation is [tex]\frac{2}{9}[/tex]
Hope this helped :)
this alien line stuff is confusing me like wth.
im pretty sure that your answer is right. the slope is 4
Answer: you are right
Sweet Branch Grocery sells 5 bottles of soda for $6. As of next week, though, the price per bottle will increase by 10%. How much will 12 bottles of soda cost next week?
Answer:
15.84
Step-by-step explanation:
6 divided by 5 is 1.2
1.2 increased by 10% is 1.32
1.32 x 12 is 15.84
(NOT SURE IF IM RIGHT)
Dan is cutting 4.75-foot lengths of twine from a 249-foot spool of twine. He needs to cut 42 lengths and says that 40.5 feet of twine will remain. Show that this is reasonable.
To show that Dan's statement is reasonable, we can set up an equation to represent the situation. Let's let x represent the number of feet of twine that Dan has cut.
We can then set up the following equation: [tex]4.75x = 249 - 40.5[/tex]
Solving for x, we find that x = 42. This means that Dan has cut 42 lengths of twine, which is what he said he would do.
Since the number of lengths of twine that Dan has cut and the amount of twine that will remain match what Dan said, his statement is reasonable.
13 friends go to a restaurant. The bill comes to $170. The restaurant's policy is to add on a tip that is 18% of the bill for parties of 8 or more. What is the total cost, with the tip?
The data below shows the ratio of brown to green crayons in four kindergarten classrooms. 13 to 19 15 to 28 18 to 32 30 to 68 Which table below correctly shows these ratios in a three-column table?
Answer:
Brown 13 15 18 30
Green 19 28 32 68
Total 32 43 50 98
Step-by-step explanation:
(ik this is rly late im just doing it for a quest lol)
y - 1/6 + 5/18
A | 1/9
B | 1/4
C | 4/9
D | 1 2/3
y + [tex]\frac{1}{9}[/tex]
Step-by-step explanation:Here are the steps to your problem:1. Add the numbers
y - [tex]\frac{1}{6}[/tex] + [tex]\frac{5}{18}[/tex]
y + [tex]\frac{1}{9}[/tex]
Solution:y + [tex]\frac{1}{9}[/tex]
I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!