The chart below shows the number of students in each grade who are members of the spirit club at Lone Star Middle School.
If 10 more 8th graders join the club, how many 6th graders will need to join the club so that the ratio of 8th graders to 6th graders remains the same?
Answers
Answer:
The Answer Is 6
Step-by-step explanation:
The number of students 6th graders who will need to join the club will be 18.
What is the ratio?The utilization of two or more additional numbers that compares is known as the ratio.
The chart below displays the number of students in each grade that are members of Lone Star Middle School's spirit club.
If ten additional eighth-grade students join the group. If the ratio of eighth students to sixth graders remains constant.
Let 'x' be the number of students who join the club in 6th grade. Then the equation is given as,
x / (2 × 10 + 10) = 6 / 10
Simplify the equation, then we have
x / (2 × 10 + 10) = 6 / 10
x / 30 = 3 / 5
x = 30 (3/5)
x = 18
The number of students 6th graders who will need to join the club will be 18.
More about the ratio link is given below.
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Related Questions
solve for c. 9+10+6c= -1+8c
Answers
c=10
steps:
9+10+6c=-1+8c
9+10+1=8c-6c
20=2c
10=c
Answer:
c = 10
Step-by-step explanation:
9 + 10 +6c = -1 +8c
19 +6c = -1 + 8c
19 + 1+ 6c = -1 +1 + 8c
20 +6c -6c = 8c - 6c
20/2 = 2c/2
10 =c
Mr. Layte needs a mortgage to buy his first house. Which describes how this will affect Mr. Layte's financial situation?
Select Multiple Answers
A
He will have to watch his spending carefully as he will have extra costs that come with owing a house.
B
The amount of money he has to spend on things will increase because he is in debt. The bank will give him a monthly payment so he can pay for the house.
C
The amount of money he has to spend on things will remain unchanged.
D
The amount of money he has to spend on things will decrease because he is in debt. He must make monthly payments to the bank to pay for the credit he received.
Answers
9514 1404 393
Answer:
A, D
Step-by-step explanation:
Assuming that Mr. Layte must pay for his mortgage from his (otherwise) disposable income, that disposable income will decrease. As in choice A, there will likely be additional ownership expenses besides the mortgage. Under our assumption, Mr. Layte's disposable income does not remain the same or increase.
The appropriate choices are A and D: the amount of money he has to spend on things will decrease ...
Greg owns a clothing store where he designs T-shirts, t, and pairs of shorts, s. He sells the T-shirts for $7 each and the shorts for $14. Greg can work 15 hours a day, at most it takes him 15 minutes to design a T-shirt and an
Answers
The inequalities s ≥ 12 - t, s ≤ 22 - t, 0.25t + s ≤ 15, s ≥ 0; t ≥ 0 represent the scenario provided option (A) is correct.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
It is given that:
Greg sells the T-shirts for $7 each and the shorts for $14.
Greg can work 15 hours a day, at most it takes him 15 minutes to design a T-shirt and an hour to design a pair of shorts
Let s is the number of shorts
Let t is the number of t-shirts
We can formulate the inequality based on the data provided:
s ≥ 12 - t
s ≤ 22 - t
0.25t + s ≤ 15
s ≥ 0; t ≥ 0
Thus, the inequalities s ≥ 12 - t, s ≤ 22 - t, 0.25t + s ≤ 15, s ≥ 0; t ≥ 0 representing the scenario provided option (A) is correct.
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What is the area of the base of the prism?
Answers
Answer:
your answer will be 6cm^2
Step-by-step explanation:
hope it helps you
have a great day
A circular path 2 feet wide has an inner diameter of 250 feet. How much farther is it around the outer edge of the path than around the inner edge? Round to nearest hundredth. Use 3.14 for π. HELP ASAP
Answers
Answer: 125
Step-by-step explanation
Answer:
25.12
Step-by-step explanation:
That is the correct answer. Thank you! :)
Renata and her family go through an average of more than 15 cans of sparkling water each day. They buy cases of 24 cans at $3.50 a case. Write an inequality for the number of cases they go through in 30 days.
Answers
Answer: The inequality required to express the above condition is x ≥ 18.75
Step-by-step explanation:Renata and her family go through an average of more than 15 cans of sparkling water each day.
The number of cases of 24 cans of sparkling water.
We can take the number of cases to be x.
Each case is said to cost $3.50.
An inequality for the number of cases that Renata's family go through in 24 days can be written as
x ≥ ⇒ x ≥ ⇒ x ≥ 18.75
Therefore the inequality required to express the above condition is
x ≥ 18.75
QUICK PLS.
The sum of the measures of angle P and angle S is 140°.
• The measure in degrees of angle P is represented by the expression (5x + 30)°.
• The measure of angle S is 80°.
What is the value of x?
A. 38
B. 6
C. 10
D. 22
My teacher never reviews things correctly
Answers
Answer:
The anwser i think it's D
Step-by-step explanation:
Given that T=KX/Y,find the percentage increase in T when k, xandy all increase by 20%
Answers
Answer:
The percentage increase in [tex]T[/tex] is 20 %.
Step-by-step explanation:
Let be [tex]T = \frac{k\cdot x}{y}[/tex], whose initial parameters are [tex]k = k_{o}[/tex], [tex]x = x_{o}[/tex] and [tex]y = y_{o}[/tex]. If these three parameters are increased by 20 %, then initial and final values of [tex]T[/tex] are, respectively:
Initial value
[tex]T_{i} = \frac{k_{o}\cdot x_{o}}{y_{o}}[/tex] (1)
Final value
[tex]T_{ii} = \frac{(1.2\cdot k_{o})\cdot (1.2\cdot x_{o})}{1.2\cdot y_{o}}[/tex]
[tex]T_{ii} = \frac{1.2\cdot k_{o}\cdot x_{o}}{y_{o}}[/tex] (2)
(1) in (2):
[tex]T_{ii} = 1.2\cdot T_{i}[/tex]
And the percentage increase in T is:
[tex]\%T = \frac{T_{ii}-T_{i}}{T_{i}}\times 100\,\%[/tex] (3)
[tex]\%T = \frac{1.2\cdot T_{i}-T_{i}}{T_{i}}\times 100\,\%[/tex]
[tex]\%T = 20\,\%[/tex]
The percentage increase in [tex]T[/tex] is 20 %.
Answer:
Step-by-step explanation:
Lets subsitute k, x and y as 100 to make it easier for us
So k = 100, x = 100, y = 100
Step 1 :- T = kx/y
- T = 100 * 100 / 100 = 100
Step 2 :- Increase by 20% = 100 * 20% = 20, 100 + 20 = 120
Step 3 :- Percentage Increase = Increased value OVER original calue MULTIPLIED by 100%
SO = ( 120 - 100 ) ,,,, 20/100 * 100% = 0.2* 100 = 20%
Pls help
This is due in 7 minutes
Answers
Answer:
17. The puppy will grow 16 in - ( 1 foot = 12in and 28-12=16)
Step-by-step explanation:
18 .
21; 17.5; 14; 10.5; and 7
3 x 7 = 21
2.5 x 7 = 17.5
2 x 7 = 14
1.5 x 7 = 10.5
1 x 7 = 7
Lupe and her friends spent $20 on snack mix and water. They bought x bags of snack mix for $2.50 each and y bottles of water for $1.25 each. If Lupe and her friends bought a total of 11 items, how many bags of snack mix and bottles of water did they buy?
bags of snack mix: ?
bottles of water: ?
Answers
Answer:
7.5 bags of snack mix, 3.5 bottles of water.
Step-by-step explanation:
This can be found by looking at a system of equations. Setting up our system, we know that they bought 11 items, and that there was a total of $20. Our system would be this:
[tex]x+y=11\\2.5x+1.25y=20[/tex]
We can then solve for a variable in any equation. Let's solve for x in the second equation.
[tex]2.5x+1.25y=20\\2.5x=20-1.25y\\x=8-0.5\\x=7.5[/tex]
Now, we substitute into the other equation.
[tex]x+y=11\\7.5+y=11\\y=11-7.5\\y=3.5[/tex]
We now know both amounts; they bought 7.5 bags of snack mix and 3.5 bottles of water.
Study figures A and B. Each shows a base and height
labeled. Which figure is correctly labeled?
O Figure A is correctly labeled.
O Figure B is correctly labeled
O Both figures are correctly labeled.
Answers
Answer: B
Step-by-step explanation:
Answer:
The Answer is option 2
Step-by-step explanation:
PLS HELP WILL GIVE BRAINLESS
Answers
Answer:
1a. 3/8
1b. 4/12-1/3
Step-by-step explanation:
to get the answers you have to find a common denominator and then add them
Answer:
The answer would be
a) 3/8
b) 1/3
Which of the equations below could be the equation of this parabola?
(0,0)
A. y = 5x2
B. x = -5y2
C. y = -5x2
D. x = 5y2
Answers
Answer:
Its B. x = -5y2
Step-by-step explanation:
The equation for the parabola is x = -5y² option (B) x = -5y² is correct.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
We have a graph of a parabola.
As we can, in the graph of a parabola:
The equation for the left side opening:
x = -ay²
Here a = 5
x = -5y²
Thus, the equation for the parabola is x = -5y² option (B) x = -5y² is correct.
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As part of a science project, Andy surveys several students in his class to determine their energy levels throughout the day. He asks the students to rate their energy level on a scale from 1 to 10, where 10 is the highest energy level possible and 1 is the lowest energy level possible. Andy then finds the average energy level for the class for each hour after the school day begins until the end of the day. He graphs his data as shown below.
Answers
Answer:
if we are doing the same thing it should be D-Andy’s study shows neither correlation nor causation.
Step-by-step explanation:
The average energy of the class after a different number of hours is given below.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
From the graph,
We can make two ordered pairs (x, y).
Where y = average energy level and x = the number of hours.
Now,
From the graph, we see that,
The average energy after 1 hour = 7
The average energy after 2 hours = 8
The average energy after 3 hours = 5
The average energy after 4 hours = 5
The average energy after 5 hours = 4
The average energy after 6 hours = 5
The average energy after 7 hours = 3
Thus,
The average energy of the class after a different number of hours is given above.
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It's your birthday there are 27 kids in your class if each kid eats a maximum of nine cookies how many cookies do you need to bring?
Answers
Answer:
the maximum number would be 243 cookies
Step-by-step explanation:
Solve the exponential equation.
9x = 27
2/3
3
3/2
Answers
Answer:
3
Step-by-step explanation:
I did the math
Answer:
3
Step-by-step explanation:
Please answer the question below:
Answers
Answer:
A 12 x 6
Step-by-step explanation:
Answer:
hi
Step-by-step explanation:
A number from 8 to 15 is drawn at random. What is the probability that the number is an even number? O 211 CD A/7 o 5/8 HKD 118 O 1/2
Answers
Answer:
4/7
Step-by-step explanation:
numbers between 8 to 15 is 7
so d even numbers are 4
that is d answer is 4/7
The probability that the number is an even number is 1/2.
What is the probability?The probability is defined as the ratio of number of favourable outcomes and the the total number of possible outcome.
A number from 8 to 15 is drawn at random.
The number between 8 to 15 are 8, 9, 10, 11, 12, 13, 14, 15 = 8
Total even number = 8, 10, 12, 14 = 4
The probability that the number is an even number is;
[tex]\rm Probability =\dfrac{Total \ even \ number }{Total \ numbers}\\\\ Probability =\dfrac{4}{8}\\\\ Probability =\dfrac{1}{2}[/tex]
Hence, the probability that the number is an even number is 1/2.
Learn more about probability here;
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What is the value of the expression
401P + q?), when p = 49 and q = -2?
O A) 12
OB) 20
OC) 36
OD) 44
First person to answer will get 10 points :D
Answers
4(sqrt.49 -2^2)
4(7 - 4)
4 x 3 =12
Which set of measurements could represent the three sides of a triangle?
O 2 cm, 3 cm, 6 cm
O 1 cm, 4 cm, 6 cm
O 8 cm, 9 cm, 10 cm
6 cm, 10 cm, 18 cm
Answers
Answer:
The side lengths of a right triangle is 11cm, 60cm and 61cm, that could be selected from the given measurements.
Step-by-step explanation:
The measurements are,
7cm, 11cm, 54cm, 60cm, 61cm, 65cm
Step:1
To check the right angle triangle, Pythagorean theorem can be used.
For a Pythagorean theorem,
..........................(1)
The side values are lower than the hypotenuse,
...................................(2)
Where,
a,b - side values
c - Hypotenuse
For right angle triangle, c > a, b
Alternative : 1
Take, a = 7cm, b = 11cm
From eqn (2),
= = 13.04
The above value is not equal to the any one of the values of ( 54cm. 60cm, 61cm, 65cm ), So its not an sides of right triangle.
Alternative : 2
Take, a = 7cm, b = 54cm
From eqn (2),
= = 54.45
The above value is not equal to the any one of the values of (60cm, 61cm, 65cm ), So its not an sides of right triangle.
Alternative : 3
Take, a = 7cm, b = 60cm
From eqn (2),
= = 60.406
The above value is not equal to the any one of the values of (61cm, 65cm ), So its not an sides of right triangle.
Alternative : 4
Take, a = 7cm, b = 61cm
From eqn (2),
= = 61.40
The above value is not equal to the values of (65cm ), So its not an sides of right triangle.
Alternative : 5
Take, a = 11cm, b = 54cm
From eqn (2),
= = 55.1089
The above value is not equal to the any one of the values of (60cm, 61cm, 65cm ), So its not an sides of right triangle.
Alternative : 6
Take, a = 11cm, b = 60cm
From eqn (2),
= = 61
The above value is equal to the values of (61cm ), So its an sides of right triangle. The three sides are 11, 60 and 61.
Step:2
Check for solution,
Result:
The side lengths of a right triangle is 11cm, 60cm and 61cm, that could be selected from the given measurements.
Step-by-step explanation: The side lengths of a right triangle is 11cm, 60cm and 61cm.
In a class of students, the following data table summarizes how many students have a
brother or a sister. What is the probability that a student chosen randomly from the
class is an only child?
Answers
Answer:
your answer will be
2 and 1/12
Step-by-step explanation:
hope it helps you
have a great day!!
8.3 (repeating) percent or 2 out 24 children
What is 7.32 written as a fraction in lowest terms?
Answers
Answer:
183/25 is an equivalent fraction form for decimal 7.32
Step-by-step explanation:
Answer:
7 8/25
Step-by-step explanation: 183/25 = 7 8/25 = 7.32
Can anyone help me on this please
Answers
You have four ice cubes in your cup of lemonade each ice cube has a length of 2 1/4 cm a width of 2 2/3 cm and a height of 2 cm what is the total volume of all the ice cubes
Answers
Answer: 6
Step-by-step explanation:
IF YOU ARE GOOD AT MATH I NEED YOUR HELP REALLY BAD ATM . THIS CAN ALSO HAVE MORE THAN 1 ANSWER :)
Answers
Answer:
2(1.75+3.00) and 3.50x+6.00
Step-by-step explanation:
have a great day :D
Step-by-step explanation:
D
somebody please help, I'm stuck and cannot get past this. I'll give brainliest to first correct answer!!
In the triangle below, x= [? ]°. Round to the nearest tenth. 17 cm 9 cm 90° V Enter
Answers
Answer:
x = 58°
Step-by-step explanation:
cos x = 9/17 = 0.5294
x = 58.03°
15 Points!! need help❤️
Answers
Answer:
70 degrees
Step-by-step explanation:
The measure of the central angle equal the measure of the arc it intercepts.
So arc BC is 70 degrees.
HELPPPPPP!!!! WILL BE MARKED BRAINLIEST AND GET 50 POINTS
FIND THE INTERVAL OF THE CONVERGENCE
Answers
Answer:
Radius of convergence is 1/10
Step-by-step explanation:
math come on try for me atleast
Answers
Answer:
86
Step-by-step explanation:
A number decreased by 90 is 22.
Answers
Answer:
112
Step-by-step explanation:
x - 90 = 22
add (solve for x)
x = 112