Ratio of boys who liked soccer to boys who liked basketball = 3:5
Given :-
Number of boys who enjoyed soccer :-
[tex]\color{hotpink} = \color{hotpink}90 \: \: \color{hotpink}boys[/tex]
Total number of boys who were surveyed were equal to the total number of girls who were surveyed .
Which means :-
Let the total number of boys who were surveyed be x .
Total number of boys =
[tex] = \frac{3}{8} \times x = 90[/tex]
[tex] = x = 90 \div \frac{3}{8} [/tex]
[tex] = x = 90 \times \frac{8}{3} [/tex]
[tex] = x = \frac{720}{3} [/tex]
[tex]\color{hotpink}x =\color{hotpink} 240[/tex]
Which means a total of 240 boys were surveyed .
Number of boys who liked basketball :-
[tex] = \frac{5}{8} \times 240[/tex]
[tex] = \frac{1200}{8} [/tex]
[tex]\color{hotpink} = 150 \: \: boys[/tex]
Which means a total of 150 boys liked basketball .
Number of girls who liked soccer :-
[tex] = \frac{7}{8} \times 240[/tex]
[tex] = \frac{1680}{8} [/tex]
[tex]\color{hotpink} = 210 \: \: girls[/tex]
A total of 210 girls enjoyed soccer .
Number of girls who enjoyed basketball :-
[tex] = \frac{1}{8} \times 240[/tex]
[tex] = \frac{240}{8} [/tex]
[tex]\color{hotpink} = 30 \: \: girls[/tex]
A total of 30 girls like basketball .
Therefore , 210 girls enjoyed soccer and 30 girls enjoyed basketball .
I need help! The 20% off sale is a better deal than the $200 rebate or $150 coupon for the $1,500 dining room set. Explain why this is the best deal for them. Are they under budget?
Answer:
See explanation
Step-by-step explanation:
The 20% off sale is a better deal because 20% off of $1500 will cost $1200. (See work).
However, the 200 or 150 dollars off will cost $1300-1350. Thus, the better deal for the dining room set is to use the 20% off.
If their budget is $1250, they will be $50 under budget because they would be paying $1200 for the set.
Work:
1500 x 20%
1500 x 0.20 = 300
1500-300= $1200
1500-150= 1350
1500-200= 1300
Yes, the Porters are under budget. The 20% off sale is the best deal because $1,500 times 0.20 is $300. $300 is a bigger discount than the $150 coupon and $200 rebate. $300 off $1,500 is $1,200, which is less than the amount budgeted.
The graph shows a proportional relationship between distance and time.
What is the UNIT RATE of miles to time? *
320
240
160
Distance (mi),
80
8.
2
6
Time (h)
O 80 miles/hour
O 160 miles/ 4 hours
O 0.025 miles/hour
40 miles/hour
O Other:
Answer:
40 miles per hour, since the distance travelled is 80 miles in 2 hours, divide that in half and you have the proportion
explain the difference between solving 2x+15-3x=10 and 2x-4=3x+11
0.2 divided by what equals -1
Arthur bought a life insurance policy at $10.98 per month for a 20 year term. What will he pay over 20 years for the premium?
A. $2,830.00
B. $988.20
C. $1,800.00
D. $2,635.20
A. $2,830.00 He will pay 2,830.00 for the premium.
solve for x: -2(x+9)=5(x-7)
Answer: [tex]x[/tex] = [tex]\frac{17}{7}[/tex]
Step-by-step explanation:
Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.
Step 1: Expand.
−2[tex]x[/tex] − 18 = 5[tex]x[/tex] − 35
Step 2: Add 2[tex]x[/tex] to both sides.
−18 = 5x − 35 + 2[tex]x[/tex]
Step 3: Simplify 5[tex]x[/tex] − 35 + 2[tex]x[/tex] to 7[tex]x[/tex] − 35.
−18 = 7[tex]x[/tex] − 35
Step 4: Add 35 to both sides.
−18 + 35 = 7[tex]x[/tex]
Step 5: Simplify −18 + 35 to 17.
17 = 7[tex]x[/tex]
Step 6: Divide both sides by 7.
[tex]\frac{17}{7}[/tex] = [tex]x[/tex]
Step 7: Switch sides.
[tex]x[/tex] = [tex]\frac{17}{7}[/tex]
~I hope I helped you! :)~
Simplify 2m - 7x + 6 + 3x - 4 by COMBINING LIKE TERMS.
Answer:
2m - 4x + 2
Step-by-step explanation:
Combine -7x and 3x which gives your the -4x
Combine the -4 and 6 to give you the 2
Sketch a graph that shows the relationship
between grams of honey and grams of salt
needed for a bakery recipe. Show on the
graph how much honey is needed for 70
grams of salt.
salt
flour
honey
(g)
10
14
4
25
35
10
+
Answer:
98 gStep-by-step explanation:
Given relationship
Salt >> Honey >> Flour10 >> 14 >> 425 >> 35 >> 10It is easy to determine that the relationship is:
14/10 = 35/25 = 1.4y = 1.4x, where y- honey and x- saltIf x = 70, then y is:
y = 1.4*70 = 98 ghelpppp pleaseeeeeee
Answer:
B
Step-by-step explanation:
The sugar is already dissolved, so we know it's not C, We know it's not A, because if the water was impure, wouldn't the problem tell us in the first place?
I hope this helps, plz let me know!
If you shift the quadratic parent function, Flx) =x, down 9 units, what is the equation of the new function?
Answer:
y = x-9
Step-by-step explanation:
Donna is a pacer in a marathon. She finishes 26.2 miles in 3 hours 45 minutes (3.75 hours) while running at a constant speed. What is Donna’s speed in miles per hour to the nearest whole number?
Answer:
you need to multiply 6 by 3 for how many miles she went and then divide the leftover total by two (For the last two hours) to realize she needs to run 4.1 mph.
Step-by-step explanation:
Which expression is equivalent to 16.8 - 18.616.8−18.616, point, 8, minus, 18, point, 6? Choose 1 answer: Choose 1 answer: (Choice A) A 16.8-(-18.6)16.8−(−18.6)16, point, 8, minus, left parenthesis, minus, 18, point, 6, right parenthesis (Choice B) B -18.6+(-16.8)−18.6+(−16.8)minus, 18, point, 6, plus, left parenthesis, minus, 16, point, 8, right parenthesis (Choice C) C 18.6-16.818.6−16.818, point, 6, minus, 16, point, 8 (Choice D) D 16.8+(-18.6)16.8+(−18.6)
Given:
The expression is
[tex]16.8-18.6[/tex]
To find:
The expression which is equivalent to the given expression.
Solution:
We have,
[tex]16.8-18.6=-1.8[/tex]
In option A,
[tex]16.8-(-18.6)=16.8+18.6[/tex]
[tex]=35.4\neq -1.8[/tex]
In option B,
[tex]-18.6+(-16.8)=-18.6-16.8[/tex]
[tex]=-35.4\neq -1.8[/tex]
In option C,
[tex]18.6-16.8=1.8\neq -1.8[/tex]
In option D,
[tex]16.8+(-18.6)=16.8-18.6=-1.8[/tex]
Only the value of the expression in option D is equal to the value of given expression.
Therefore, correct option is D.
Brainliest answer to the quickest and most accurate response
(7x+14)+(4x-22)=180
11x-18=180
11x=198
x=18
(4)(18)-22
50
the small angles are 50
(3y+11)+10y=180
13y+11=180
13y=169
y=13
(10)(13)
130
the large angles are 130
proof:
(130(2))=(50(2))= 360
Which inequality represents this situation?
Players must practice at least 45 minutes a day.
A. t 45
D. t ≥ 45
Answer:
d
Step-by-step explanation:
Answer: letter D
Goodluck:)
Find the prime factorization of 24. Make sure to show all of your work.
Answer:
2^3*3
Step-by-step explanation:
So the prime factorization of 24 is 24 = 2 · 2 · 2 · 3 = 23 · 3.
Answer:
2^3*3
Step-by-step explanation: So the prime factorization of 24 is 24 = 2 · 2 · 2 · 3 = 23 · 3.
4. If a box of sweets is divided among 24 children, they will get 5 sweets each. How many would each get, if the number of the children is reduced by 4?
What is the Triangle inequality theorem?
Answer:
In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.
Step-by-step explanation:
Answer:
In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.
Step-by-step explanation:
bye
Which word describes 5 in the number sentence shown?
2 = 18
53
A Term
B Variable
Equation
D) Coefficient
x+(-4)=-12 111111111
Answer:x+(-4)=12 the answer is 8
Step-by-step explanation:
Answer:
can you please explain the different way
Step-by-step explanation:
Brayden is making dumplings. If he uses 3 5
a cup of dough for each dumpling, how much dough does Brayden need to make 9 dumplings?
WELL, considering 3 5 is three fifths, then all you gotta do is multiply 3/5 by 9 to get your answer. Your answer, in decimals, is 5.4!
Hope this helps, if not, comment below please!!!
( ps: if you want me to convert 5.4 to fraction, just let me know! )
Answer:
27/9 or 5 2/9
Step-by-step explanation:
1. If one dumpling is worth 3/5 just multiply the 3 (numerator) by the amount of dumplings Brayden wants to make (9) so you would get the equation 3(9) and the answer is 27.
2. 27 is now the new numerator so put it over 5: 27/5. 27/5 is an improper fraction so the proper way of putting it would be 5&2/9.
3. Brayden needs 27/5 or 5&2/9 cups of dough to make 9 dumplings.
What is the increasing and decreasing intervals of this graph?
Answer:
A function is increasing on an interval if its slope is positive on that interval. That is, if you follow it to the right, it'll go up.
The graph increases at 3 and decreases at 1
A function is decreasing on an interval if its slope is negative on that interval. That is, if you follow it to the right, it'll go down.
Step-by-step explanation:
hope this helped
The function is increasing at (1, 0) and decreasing at (3, 0).
Given is a graph we need to determine what is the increasing and decreasing intervals of this graph,
If a function's slope is positive on an interval, the function is increasing on that interval. That is, it will go up if you follow it to the right.
The graph goes up at 3 and down at 1.
If a function's slope is negative on an interval, the function is declining on that interval. That is, it will descend if you follow it to the right.
Hence the function is increasing at (1, 0) and decreasing at (3, 0).
Learn more about increasing and decreasing intervals click;
https://brainly.com/question/11051767
#SPJ2
a/12=5/6 solve for a
Answer:
a = 10
Step-by-step explanation:
Multiply both sides by 12
[tex]\frac{a}{12}[/tex] = [tex]\frac{5}{6}[/tex]
[tex]\frac{12a}{12}[/tex] which cancels out because it's 1
[tex]\frac{5 * 12}{6}[/tex] = [tex]\frac{60}{6}[/tex]
a = 10
Lines l and m are intersected by transversal t. l ∥ m.
If m∠4 = 105, what is m∠5?
Answer:
m<5 is 105
Step-by-step explanation:
<5 and <4 are alternate interior angles meaning they are congruent to each other.
4 in.
5 in.
2 in.
4 in.
5 in.
5 in.
Answer:
I need to see the whole question but I believe you just add the numbers
Among the 7th graders in a middle school, three quarters of them play at least one sport. Among the 7th graders who play sports, half of them play more than one sport. Among the 7th graders who play more than one sport, one third of them play more than two sports. Among the 7th graders who play more than two sports, one quarter of them play more than three sports. Sixteen 7th graders play more than three sports at the school. How many 7th graders are in the school
Answer:
512
Step-by-step explanation:
Let the number of 7th graders in the school is x.
As three-quarters of them play at least one sport, so, the number of 7th graders who play sport = [tex]\frac 3 4 x[/tex].
Among the 7th graders who play sports, half of them play more than one sport. So, the number of 7th graders who play more than one sport [tex]= \frac 1 2\times \frac 3 4 x=\frac 3 8 x[/tex].
Among the 7th graders who play more than one sport, one-third of them play more than two sports. So, the number of 7th graders who play more than two sport [tex]= \frac 1 3\times \frac 3 8 x=\frac 1 8 x[/tex].
Among the 7th graders who play more than two sports, one-quarter of them play more than three sports.
So, the number of 7th graders who play more than three sport [tex]= \frac 1 4\times \frac 1 8 x=\frac{1}{32} x[/tex].
7th graders play more than three sports at the school= 16
[tex]\Rightarrow \frac{1}{32} x=16[/tex]
[tex]\Rightarrow x =16 \times 32[/tex]
[tex]\Rightarrow x = 512[/tex]
Hence, the total numbers of 7th graders in the school are 512.
THERE IT IS.
THANK YOU SO MUCH FOR HELPING ME
I need helppp!!!!!!!!!
The sum of t and 7 is less than -3
if your asking for the equation, it's t + 7 < 3
Answer:
t+7<3
Step-by-step explanation:
kinda meaning like t is a number less than 3 that when added to three the outcome would be 7 (thanks and sorry)
Which equation represents the line shown on the graph?
A- y=-2x
B- y=x+2
C- y= -x+2
D- y=2x
Answer:
B- y=-x+2
Step-by-step explanation:
I did this before
Solve for a : -2a-7a=0
a=0 this is your answer