Connie and Chris are saving money to go to a concert. Connie has $9 and saves $6 per week.
Connie wrote an equation to determine how much she saves in a given week.
y=6x+9
Chris has $27 and saves $3 per week.
Chris made a graph to show how much he saves in a given week.
How many weeks will it take Connie and Chris to save the same amount of money?
Answers
Connie= 9$ + 6= 15$
Chris= 30$ + 3 = 33$
Connie 15$ + 6 = 21$
Chris= 33$ + 3= 36$
Connie 21$ + 6 = 27$
Chris= 36$ + 3 = 39$
Connie= 27$ + 6 = 33$
Chris = 39$ + 3 42$
Connie 33 + 6= 39$
Chris= 42 + 3= 45$
and Connie = 39 + 6= 45$
And that took 6 weeks
Related Questions
Mr.halls car used 2.2 gallons of gasoline this week. He drove a total of 37.9 miles. If the car got the same gas mileage for the entire trip.hiw many miles did the car travel for each gallon of gasoline.
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Mr. Hall's car traveled approximately 17.23 miles per gallon of gasoline when he drove a total of 37.9 miles using 2.2 gallons.
Explanation:To calculate the number of miles Mr. Hall's car traveled per gallon of gasoline, we need to divide the total miles driven by the total gallons of gasoline used. Mr. Hall drove a total of 37.9 miles and used 2.2 gallons of gasoline. Thus, to find the miles per gallon (MPG), the calculation would be:
MPG = Total Miles Driven / Total Gallons of Gasoline Used
MPG = 37.9 miles / 2.2 gallons
MPG = 17.23 miles per gallon
So, for each gallon of gasoline, Mr. Hall's car traveled approximately 17.23 miles.
John is planning a trip to Disneyland in Los Angeles, CA. He is leaving his house in Sacramento with a full tank of gas. The table below shows how much gas he will use along the way.
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Paula received a paycheck of $585. This amount reflects her weekly earnings less 10% of her earnings for deductions. How much was she paid before deductions were taken out?
Answers
We are looking for the original amount she was paid, which we'll represent by the variable X
We know that $585 is X minus 10% of X
This means that $585 is 90% of X (or X times 0.90)
So, our equation is
X(0.90)=585
In order to solve this, we can divide both sides by 0.90
X=650
So, she was originally paid $650
Gobbler stuffing mix has 3 cups of cubed bread and one cup of dried vegetables. Perfect poultry mix has four cups cubed bread 22 cups of dried vegetables. Which mixed has the greater vegetable to bread ratio?
Answers
The Perfect poultry mix has a vegetable to bread ratio of 1/2, which is greater than the Gobbler stuffing mix's ratio of 1/3.
To determine which mix has the greater vegetable to bread ratio, we need to compare the ratios of dried vegetables to cubed bread for both Gobbler stuffing mix and Perfect poultry mix.
For the Gobbler stuffing mix, we have 1 cup of dried vegetables to every 3 cups of cubed bread, which gives us a ratio of 1/3 or approximately 0.33.
For the Perfect poultry mix, the ratio is 2 cups of dried vegetables to every 4 cups of cubed bread, which simplifies to 1/2 or 0.5.
Comparing the two ratios, we can see that 0.5 (Perfect poultry mix) is greater than 0.33 (Gobbler stuffing mix), so the Perfect poultry mix has the greater vegetable to bread ratio.
How many cups of sorbet are used in 8 cups of punch. Ginger ale= 40%. Orange juice=25%. Pineapple=20%. Sorbet=15%
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Help me simple this 42/90
Answers
Lightning strikes Earth 1000 times in 10 seconds. How many times does it strike per second?
Answers
Lightning strikes the earth 100 times per second.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
Given that, lightning strikes earth 1000 times in 10 seconds.
So, mathematically,
10 seconds = 1000 times
1 second = (1000/10) times
1 second = 100 times
Hence, lightning strikes the earth 100 times per second.
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You place a mirror on the ground 6 feet from the lamppost. You move back 3 feet and see the top of the lamppost in the mirror. If you are 5 feet tall, what is the height of the lamppost?
Answers
Answer: 10 feet
Step-by-step explanation:
Let h be the height of lamppost.
Since both the person and the lamppost are standing vertical to the ground, making similar right triangles.
Because the two triangles are similar, the ratio of their sides is the same.
Therefore, we have
[tex]\frac{\text{height of lamppost}}{\text{distance of lampost from mirror}}=\frac{\text{height of person}}{\text{distance of person from mirror}}\\\\\Rightarrow\frac{h}{6}=\frac{5}{3}\\\\\Rightarrow\ h=\frac{6\times5}{3}\\\\\Rightarrow\ h=10[/tex]
Hence, the height of the lamppost = 10 feet.
Setting up a proportional relationship between mirror and lamppost, the height of the lamppost is 10 feets.
Height of person, Hp = 5 feets Distance of person form mirror, Dp = 3 feets Distance of Lampost from mirror, Dm = 6 feets Height of Lampost = Hl =?Setting up a proportional relationship :
[tex]\frac{Hp}{Dp} = \frac{Hl}{Dm} [/tex]
[tex]\frac{5}{3} = \frac{Hl}{6} [/tex]
Cross multiply :
Hl × 3 = 6 × 5
3Hl = 30
Hl = (30 ÷ 3)
Hl = 10
Therefore, the height of the lamppost is 10 feets.
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The sum of 3 fifteens and 4 twos
Answers
4 × 2 = 8
45 + 8 = 53
Hope this helps!
78% as a fraction and in simplest form
Answers
Three different ways you can add the same addends to make 12
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a.Two friends share 76 blueberries
To count the blueberries,they can put them into small bowls of 10 blueberries.Draw a picture to show how the blueberries can be shared equally.Will they have to split apart any of the bowls of 10 bluberries when they share them?
Answers
To divide 76 blueberries equally into small bowls of 10 blueberries, 7 bowls will be needed. They will need to divide the remaining 6 blueberries equally by adding 1 blueberry to each bowl.
Explanation:To divide 76 blueberries equally into small bowls of 10 blueberries, we will need 7 bowls. Each bowl will contain 10 blueberries, with 6 blueberries left over. Since they cannot split apart a bowl of 10 blueberries, they will need to divide the remaining 6 blueberries equally by adding 1 blueberry to each of the 7 bowls. This way, they will have shared the blueberries equally.
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what is the last step when solving the following equation for m? 4m-6=92
Answers
Hope this helps :)
Answer: 24.5
Step-by-step explanation:
4m-6 = 92
If we replace m with 24.5
4 x 24.5 = 92
therefore the answer is:
24.5
0.15% as a decimal and as a mixed number or fraction
Answers
3/20= fraction.
Can I have halp with all and an explanation because I am terrible at properties.
Use properties of equality to simplify each of the following expressions so that you can simplify them in your head. Identify the properties used and describe how you used them.
1. 4 • (–3) • 5
2. (2.25 • 23) • 4
4. 5 • 12 • (–2)
5. 35(26)(0)
Answers
so 4 x (-3) = -12 and then -12 x 5 = -60
2. (2.25 x 23) x 4
so (2.25 x 23) 51.75 and then 51.75 x4 = 207
4. 5 x 12 x (-2)
so 5 x 12 = 60 and then 60 x (-2) = -120
5. 35(26)(0) =
so 35 x 26 = 910 and then 910 x 0 = 0
Explanation of simplifying expressions using properties of equality.
Properties of equality are used to simplify expressions. Let's go through each example:
4 • (–3) • 5 = -60 (Multiplicative property of equality) (2.25 • 23) • 4 = 207 (Associative property of multiplication) 5 • 12 • (–2) = -120 (Multiplicative property of equality) 35(26)(0) = 0 (Multiplicative property of equality)3500 calories for 6 servings of pie ----------- calories per serving
Answers
Hope this helps!
Jim said led 3/4 gallon of lemonade. Dwight sold some lemonade, to.together they sold 1 5/12 gallons.who sold more lemonade, Jim or Dwight
Answers
3/4=.75 (in decimal form)
1.416 (total amount of lemonade sold) - .75 (amount of lemonade Jim sold) = amount of lemonade Dwight sold
Amount of Lemonade Dwight Sold = .666
Jim sold more lemonade because .75 gallons is greater than .666 gallons
It's clear that [tex]\( \frac{9}{12} \)[/tex] is greater than [tex]\( \frac{20}{48} \).[/tex] So, Jim sold more lemonade than Dwight.
Jim sold [tex]\( \frac{3}{4} \)[/tex] gallon of lemonade.
Dwight sold [tex]\( \frac{5}{12} \)[/tex] gallons.
To compare them, we need to find a common denominator, which is 12.
For Jim:
[tex]\[ \frac{3}{4} \times \frac{3}{3} = \frac{9}{12} \][/tex] gallon.
For Dwight:
[tex]\[ \frac{5}{12} \times \frac{4}{4} = \frac{20}{48} \][/tex] gallon.
Now, it's clear that [tex]\( \frac{9}{12} \)[/tex] is greater than [tex]\( \frac{20}{48} \).[/tex] So, Jim sold more lemonade than Dwight.
Melanie spent four hours babysitting. She charges $16 upfront and then and additional charge per hour. The total amount she earned can be represented by the expression $4x + $16. What expression represents the amount she earns each hour?
Answers
The expression representing the amount Melanie earns each hour from babysitting, based on the expression $4x + $16 and her working for four hours, is represented by the variable $x. To determine the hourly rate, we would divide the total hourly charge by the number of hours, but the specific value of $x is not given.
Explanation:The given expression representing Melanie's total earnings from babysitting for four hours is $4x + $16. Here, $16 is the upfront charge and $4x represents the additional hourly charge multiplied by the number of hours worked. To find the expression representing the amount she earns each hour, we look at the variable part of the expression, which is $4x.
Since Melanie worked for four hours, this part of the expression ($4x) must account for her earnings per hour times the number of hours worked. To find her earnings per hour, we divide the total hourly charge by the number of hours. Therefore, the expression for the hourly rate is $x.
To determine the specific amount that x represents, we would need additional information, such as the total amount she earned after working the four hours. However, based on the given expression, we can conclude that x is representative of Melanie's earnings per hour.
The seventh-grade band is going to sell baked goods at the craft show. The cost to rent a booth at the craft show is $60. The band plans to charge $1.50 per baked good. How many baked goods must they sell in order to profit at least $200?
Answers
selling 173 would be under 260 dollars and im assuming you cant sell half a baked good
so the answer is 174
The number of baked goods to have at least a profit of $200 is
94 or more.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal =
Greater than and equal=
We have,
Cost of renting a booth = $60
Charge per baked good = $1.50
The number of baked goods to have a profit of at least $200.
60 + 1.50x ≥200
Solve for x.
60 + 1.50x ≥ 200
Subtract 60 on both sides.
1.50x ≥ 200 - 60
1.50x ≥ 140
Divide both sides by 1.50
x ≥ 140/1.50
x ≥ 93.33
This means,
94 or more baked goods.
Thus,
94 or more baked goods need to be sold to have a profit of at least $200.
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6+2n=3 what is n? And how so you solve?
Answers
6+2n=3
2n=-3
n=-3/2
The solution to the equation 6 + 2n = 3 is n = -3/2.
Given is an equation we 6 + 2n = 3, we need to solve for n,
To solve the equation 6 + 2n = 3 for n, we'll isolate the variable n by performing the necessary operations step by step.
Here's the solution:
Start with the given equation: 6 + 2n = 3.
Subtract 6 from both sides of the equation to move the constant term to the right side:
6 + 2n - 6 = 3 - 6.
Simplifying the left side gives: 2n = -3.
Divide both sides of the equation by 2 to solve for n:
(2n) / 2 = -3 / 2.
This simplifies to: n = -3/2.
Therefore, the solution to the equation 6 + 2n = 3 is n = -3/2.
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Michelle multiplied 3.4 x 52 She incorrectly wrote 1,768 as her product. Use words, numbers, and/or pictures to explain Michelle's mistake.
Answers
Michelle forgot to add the decimal point on her result number.
Further ExplanationWhen multiplying decimal numbers don't forget to put the decimal point. The whole process of multiplying would be the same as the whole numbers multiplication except for the placement of the decimal point in the answer.
For example:
[tex]=\boxed {3.4 \times52\ }\\ =\boxed {176.8\ }[/tex]
The step by step process would be:
3.4 ⇒ the first factor has 1 decimal point
52 x ⇒ the second factor has 0 decimal point
68
170 +
176.8 ⇒ the answer would have 1 decimal point
Unlike the additional decimal numbers, when we are doing the multiplication, we don't need to line up the decimal point, in the case above:
first factor has 1 decimal pointthe second factor has 0 decimal point (a whole number)so the answer would be have 1+0 = 1 decimal pointLearn moreDecimal numbers multiplication https://brainly.com/question/2002881
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Keywords: multiplication, decimal multiplication, two digits number additional, additional,
(sin2a+sin4a)²+(cos2a+cos4a)²=4cos²a
Answers
[tex](sin^2 (2a) + 2sin(2a) sin(4a) +sin^2 (4a)) \\ +(cos^2 (2a) + 2cos(2a) cos(4a) +cos^2 (4a)) \\ = 4cos^2 (a)[/tex]
Simplify by using pythagorean identity:
sin^2 + cos^2 = 1
[tex]2sin(2a)sin(4a) + 2cos(2a)cos(4a) + 2 = 4cos^2 (a)[/tex]
Next use cosine difference identity:
cos(x-y) = cos(x)cos(y) +sin(x)sin(y)
[tex]2 cos(4a-2a) +2 = 4cos^2 (a)[/tex]
Next use cosine double angle identity:
cos(2x) = 2cos^2 - 1
[tex]2(2cos^2 (a) -1) + 2 = 4cos^2 (a)[/tex]
Finally distribute and Right side = Left side
[tex]4 cos^2 (a) = 4 cos^2 (a)[/tex]
Identity is proved
A baker wants to put 3 3/4 pounds of apples in each pie she makes. She purchased 52 1/2 pounds of apples. How many pies can she make
Answers
52 1/2=52.5
52.5/3.75=14
She can make 14 pies.
Answer:
UCOSVGLJHBdfbhksd
Step-by-step explanation:
Car A travels 180 miles in 7 hours. Car b travels 350 miles in 4 hours. Car c travels 584 miles in 15 hours. Which car has fastest average speed?
Answers
Answer:
Car B has the fastest average speed 87.5/ per hours
Step-by-step explanation:
Car A
180/7 = 25.714
Car B
350/4= 87.5
Car C
584/15= 38.93
Can u guys help me with the blank space what's the answer!?
Answers
And then you divided it by 12 which you get 30
So the n=30
Complete the ratio 6:30 = 1:? What goes where the question mark is?
Answers
The value of the variable that is missing a number will be 5.
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.
A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
Let x be the missing number. Then the ratio is given as,
6: 30 = 1: x
Simplify the equation, then the value of the variable 'x' will be given as,
6 / 30 = 1 / x
x = 30 / 6
x = 5
The value of the variable that is missing a number will be 5.
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I am making an acrostic poem and I am using the word "slope". Anyone have any ideas?
Answers
Plz Help fast!!
25 points. Which equation correctly applies the distributive property?
A. 2.4⋅(−3.4)⋅(−1.25)=−3.4⋅2.4⋅(−1.25)
B. −3⋅(6.48)=(−3⋅6)+(−3⋅0.4)+(−3⋅0.08)
C. (42⋅3.5)+(42⋅1.3)+(42⋅5.2)=42+(3.5+1.3+5.2)
or D. −2.5⋅(4⋅3.67)=(−2.5⋅4)⋅3.67
Answers
Answer:
The answer is B
Step-by-step explanation:
I know I'm late to this answer, but I'm just answering it just in case anyone else needs it.
How does Elian's drawing show that the number 10 is a composite number?
Answers
show two ways 5 people can share a 3 segment chewy fruit worm equally
Answers
Method 1: Each person gets one segment, and the remaining two segments are cut into halves.
Method 2: Each person gets a half segment, and the remaining segments are cut into thirds.
Method 1: Each person gets one segment, and the remaining two segments are cut into halves:
Step 1: Give one segment to each person.
Step 2: Cut the remaining two segments into halves.
Step 3: Distribute the halves evenly among the five people.
So, each person will get one whole segment and one half segment.
In total, each person will get 1.5 segments.
Method 2: Each person gets a half segment, and the remaining segments are cut into thirds:
Step 1: Cut each of the three segments into thirds.
Step 2: Give one-third of each segment to each person.
Step 3: Each person will also get a half segment from the remaining two segments.
So, each person will get 0.5 segments from the three initial segments and 0.5 segments from the two remaining segments.
In total, each person will get 1 segment.
Both methods ensure that each of the 5 people gets an equal share of the 3-segment chewy fruit worm.