Answer:
In 8 months both gym memberships will cost the same and that cost will be $464
Step-by-step explanation:
Linear Models
To compare two gym memberships, we can help Casey to form one model for each gym.
One of them charges a $248 joining fee plus $27 per month. The model for this gym is:
G1 = 27m + 248
Where m is the number of months.
The other gym has no joining fee but charges $58 per month. It's model is:
G2 = 58m
The number of months where both gyms end up charging the same can be found by equating G1 = G2, or equivalently:
27m + 248 = 58m
Subtracting 27m and swapping the equation:
58m - 27m = 248
Simplifying:
31m = 248
Solving:
m = 248/31
m = 8
When m=8, both gyms charge the same:
G1 =27*8 + 248= $464
G2 = 58*8 = $464
Thus, in 8 months both gym memberships will cost the same and that cost will be $464
A cardboard box, which weighs 0.6 pound when empty, is filled with 15 bags of beans and a 4-pound bag of rice. The total weight of the box and the contents inside it is 25.6 pounds. One way to represent this situation is with the equation 0.6 + 15b + 4 = 25.6. 1.In this situation, what does the solution to the equation represent? 2.Select all equations that are also equivalent to 0.6 + 15b + 4 = 25.6. Equation A: 15b + 4 = 25.6 Equation B: 15b + 4 = 25 Equation C: 3(0.6 + 15b + 4) = 76.8 Equation D: 15b = 25.6 Equation E: 15b = 21
Answer:
Equation E, Equation B, Equation C are equivalent
Step-by-step explanation:
Given Equation:
0.6 + 15b + 4 = 25.6
Check all that applies
Equation A: 15b + 4 = 25.6
0.6 + 15b + 4 = 25.6
15b + 4 = 25.6 - 0.6
15b + 4 = 25
NOT CORRECT
Equation B: 15b + 4 = 25
0.6 + 15b + 4 = 25.6
15b + 4 = 25.6 - 0.6
15b + 4 = 25
CORRECT
Equation C: 3(0.6 + 15b + 4) = 76.8
0.6 + 15b + 4 = 25.6
Multiplying both sides by 3
(0.6 + 15b + 4) ×3 = 25.6 × 3
(0.6 + 15b + 4) ×3 = 76.8
CORRECT
Equation D: 15b = 25.6
0.6 + 15b + 4 = 25.6
NOT CORRECT
Equation E: 15b = 21
0.6 + 15b + 4 = 25.6
15b = 25.6 - 0.6 - 4
15b = 21
CORRECT
Equation E, Equation B, Equation C are equivalent
Solve for the missing amount.
Of the 300 Sequoyah Cougars that play a sport, 20 % will go on to play high school sports.
How many Cougars will play a sport in high school?
Answer:
60
Step-by-step explanation:
Answer:
60 Cougars will play a sport in high school
Step-by-step explanation:
20% of 300 is 60.
What is the simplified form of 1 over x minus 2 over x squared minus x ? (1 point)
x minus 1 over the quantity x times x plus 1
1 minus x over the quantity x times x plus 1
3 minus x over the quantity x times x minus 1
x minus 3 over the quantity x times x minus 1
Answer:
3y times the quantity 2x minus 1 over x times the quantity x minus 2
Step-by-step explanation:
Answer:
3y times the quantity 2x minus 1 over x times the quantity x minus 2
Step-by-step explanation:
X - 3y = 6 and x - 3y = 9
A line segment AB has the coordinates A (2,3) AND B ( 8,11) answer the following questions. What are the coordinates of the mid point of AB?
Answer: the slope is m = 4/3
what is (2x+3)+(x+4)
Answer: 3x + 7
Step-by-step explanation:
Answer:
3+7
Step-by-step explanation:
Eliminate redundant parentheses
(2+3)+(+4)
2+3++4
Add the numbers
2+3++4
2+7+
Combine like terms
2+7+
3+7
For a line with the equation y=2/3x−4, the slope is:
A 2
B 2/3 thirds
C 3
D -4
Answer:
The answer is B. 2/3 because y=mx+b mx us always the slope and b is the y intercept
is x-3=x+3 one solution no solution or many solutions
Answer:
The answer is no solutions
Step-by-step explanation:
Let's solve your equation step-by-step.
x−3=x+3
Step 1: Subtract x from both sides.
x−3−x=x+3−x
−3=3
Step 2: Add 3 to both sides.
−3+3=3+3
0=6
Therefore, no solutions :)
Mr. Borden was given a $50 gift card to use at the bowling alley. It costs him $10 per night to bowl. Each time he goes to the bowling alley he records the amount he has used and the amount he has left. If x is the number of nights bowled, b(x) is the balance on the gift card. Discreet
Answer:
He initially has $50 on his card.
For each night that he goes to play, $10 are discounted from the card, then if he went x nights to play, the amount of money that there is in the card is:
b(x) = $50 - $10*x
Now, notice that x must be a whole number because this measures the number of nights that he went to play, and we can not have rational numbers to describe this.
Then the domain of this function will be discrete (and this implies that the range must also be discrete)
Where the possible values of x are:
{0, 1, 2, 3, 4, 5}
(after x = 5, there is no more money in the card)
And the possible values of b(x) are:
{$0, $10, $20, $30, $40, $50}
Evaluate -6 - (-1). (1 point)
O -7
O5
O -5
O6
[tex]-6-(-1)\\-6+1[/tex]
-(-1) = 1 as negative multiply negative equals positive.
Thus, the answer is -6+1 = -5.
The answer is the third choice, -5.
A 2-gallon jug of water costs $14.24. What is the price per quart?
Answer:
p
Step-by-step explanation:
p
What is the ratio of 4 red apples and 3 green apples
Answer:
4:3 8:6 12:9 so on
Step-by-step explanation:
Answer:
4 to 3 or 3 to 4
Step-by-step explanation:
depending on how the question is worded if its red the green then 4 to 3 but if it green to red then its 3 to 4.
PLEASE HELP!!!
Karl filled up the tank of his truck with 400 liters of fuel and set out to deliver a shipment of bananas to Alaska. The truck consumed 0.8 liters of fuel for each kilometer driven.
Graph the relationship between the amount of fuel remaining in the truck's tank (in liters) and distance driven (in kilometers).
Answer:
you have it almost good. all you have to do is move the dot from (500,80) to (500,0) because by 500 kilometres all 400 liters of fuel has been used.
500*.8=400
Answer:
Step-by-step explanation:
This is the right answer
I screenshot the picture and it shows i got it right
a canon launches a cannon ball vertically with an initial speed 30.m/s find; the maximum height
Answer:
45.9183 as the maximum height ............
Step-by-step explanation:
max height=v²/2g
=900/19.6
=45.9183 ................
What is the volume of the prism
The volume of the prism is 72
How to calculate the volume of the prism?The height of the prism is 3 ft
The base of the prism is 24 square feet
The formula for volume of a prism is base multiplied by the height
Volume= base × height
= 3 × 24
= 72
Hence the volume of the prism is 72
Read more on volume here
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The ice cream shop sells sundaes for $2 each and banana splits for $3 each. One day, the shop sold 8 more sundaes than banana splits and also made a total of $156. Which system of equations represents the situation?
Answer:
$82 sundaes
$74 banana split
Step-by-step explanation:
Step one :
Given data
Cost of sundaes =$2 each
Cost of banana split =$3 each
Let the number of sundaes bought be x
And the number of banana split bought be y
The total is x+y
The shop sold 8 more Sundaes than the Banana split
x=8+y—-------1
Total amount made = $156
Therefore the system of equation for the situation is
x=8+y----—----------1
2x+3y=156---------2
But x=8+y
8+y+y=156
8+2y=156
2y=156-8
2y=148
Divide both sides by 2
y=148/2
y=74
On That day they sold $74 banana split
And also they sold x=8+74=$82 sundaes
Justin runs 5 laps around the track in 8 minutes. If Justin runs 12 laps at the same rate, how long will it take? Write your answer using numbers only, no units.
PLEASE ANSWER
WILL MARK BRANLIEST
Answer:
the answer should be 19.2
Please help me with this question!
Raoul rode an elevator up e floors. He entered the elevator on the 5th floor and exited on the 34th floor. Which equation shows an equality between two different ways of expressing the floor Raoul exited?
A.) 34 = 5 + e
B.) 34 = e - 5
C.) 34 = 5 - e
D.) 34 = 5e
Thank you for your time!~
Lots of love for you~ <3
Answer:
The answer would be c
Step-by-step explanation:
Graph -5 1/4 on the number line. Click on the number line to identify the number's location.
Answer:
the one after 5
Step-by-step explanation:
press the one after 5
The point -5 1/4 is plotted on the number line in the graph as shown.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. A graph consists of some points and lines between them.
For the given situation,
The point is -5 1/4.
We need to plot this point on the number line shown.
In the graph below, the point -5 1/4 is plotted on the number line.
Hence we can conclude that the point -5 1/4 is plotted on the number line in the graph as shown.
Learn more about graphs here
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What number should go in the empty boxes to complete the calculation for finding the product of 0.53 × 0.67?
Please help due today
Answer:
0.3551
Step-by-step explanation:
0.53 x 0.67 = 0.3551
don't see empty boxes; hope this helps
What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where $a$ and $b$ are integers?
hahahahahahahahahahaha
srsly tho
is this still a problem you have? if so ill solve it.
2. A formula for the perimeter of a rectangle is P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
If the length of a rectangle is 34 centimeters and the width is 12 centimeters, what is the perimeter?
a. 78 cm b. 105 cm c. 85 cm d. 92 cm
Answer:
d. 92 cm
Step-by-step explanation:
P = 2(34 + 12)
P = 2(46)
P = 92
Answer:
is it d or 92
Step-by-step explanation:
After throwing away the rotten tomatoes, did Sheldon get more kilograms of strawberries or tomatoes? How many more kilograms?
Step-by-step explanation:
since he threw out tomatoes he has more kilograms of strawberries then tomatoes
Find the area of the smaller sector. Plzzzz help!!!!!!!!!
Answer:
78.151 (approximately)
Step-by-step explanation:
To find the sector area, the formula is the angle of the sector out of 360° multiplied by the area of the full circle. Area of circle: pi × r²
=140/360×π×8²
=7/18×3.41×64
=7/18×157/50×64
=7/9×157/50×32
=7/9×157/25×16
=17584/225
=78.151 (approximately)
help me figure out the icons numbers plzzz
Answer:
ahhhhhhhhhhh
Step-by-step explanation:
Okay so for the present imagine it as x-3-×=13, then 2x=16, x=8. So the present box represents 8. When applied to the other questions you will find it that the squirrel is 6, the carrot is 2, and the snowman/green question mark is 5.
Sara bought 12 apples, 24 oranges, and 18 bananas for fruit baskets. If Sara wants to create the greatest number of fruit baskets that all have the same amount of fruit without any left over, how many baskets can she create?
Answer:
Step-by-step explanation:
Apples- 2
Oranges-4
Bananas- 3
In each basket
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:12x^3y^5
Step-by-step explanation:
Answer:
[tex]\huge\boxed{12x^3y^5}[/tex]
Step-by-step explanation:
[tex]4x^2y^3\times3xy^2=(4\cdot3)(x^2\cdot x)(y^3\cdot y^2)=12x^{2+1}y^{3+2}=12x^3y^5[/tex]
the product of b and 2 is greater than or equal to 28
Answer:
[tex] b \geqslant 14[/tex]
Step-by-step explanation:
Product of b and 2 = 2b
According to the given description:
[tex]2b \geqslant 28 \\ \\ b \geqslant \frac{28}{2} \\ \\ b \geqslant 14[/tex]
In a class of 65 students, 10 students liked Maths but not English and 20 students liked
English but not Maths. If 5 students did not like both, how many students liked both subjects?
Answer: 30 students liked both.
step-by-step explanation: If there are 65 students and 10 liked math but not english you subtract 10 from 65, you get 55. You continue to the next one, 55-20= 35, now there are 35 students but 5 of those students don't like either, so 35-5=30, meaning there are 30 students that like both english and math. I hope this helps.
Bill is making accessories for the soccer team. He uses 611.66 inches of fabric on headbands for 31 players and 3 coaches. He also uses 273.11 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Answer:
26.8 inches of fabrics was used on headband and wristband for each player
Step-by-step explanation:
Headbands for 31 players and 3 couches = 611.66 inches of fabric
Total number of people = 31 players + 3 couches
= 31 + 3
= 34 people
Fabrics per person's headbands = Total inches of fabrics for headbands / total number of people
= 611.66 inches of fabric / 34 people
= 17.99 inches of fabrics per person
Wristband for 31 players = 273.11 inches of fabric
Fabric per person's wristband = total inches of fabrics for wristband / number of players
= 273.11 inches of fabric / 31
= 8.81 inches per person
How much fabric was used on a headband and wristband for each player?
= Fabrics per person's headbands + Fabric per person's wristband
= 17.99 inches + 8.81 inches
= 26.8 inches of fabrics was used on headband and wristband for each player