The ratio of the number of boys to the number of girls at your school is 5 to 8. Which statements are accurate according to this ratio?
The ratio of number of boys to girls is [tex]\frac{5}{8}[/tex]. That means:
[tex]\frac{boys}{girls} =\frac{5}{8}[/tex]
Let's look at the first choice.
a. If a class has 16 girls, it is reasonable to expect there are approximately 10 boys in the same class.
Make the amount as a fraction with boys over girls.
[tex]\frac{boys}{girls} =\frac{10}{16}[/tex]
10 and 16 can be simplified. The greatest common factor of 10 and 16 is 2, so divide by 2.
[tex]\frac{boys}{girls} =\frac{10 \div 2}{16 \div 2} =\frac{5}{8}[/tex]
Since the ratio is the same, choice a is correct.
Let's move onto the second choice.
b. In a group of 52 students, about 20 are boys.
If 20 students are boys, then the amount of girls is equal to 52 - 20, which is 32. Make the amount as a fraction with boys over girls.
[tex]\frac{boys}{girls} =\frac{20}{32}[/tex]
20 and 32 can be simplified. The greatest common factor of 10 and 16 is 4, so divide by 4.
[tex]\frac{boys}{girls} =\frac{20 \div 4}{32 \div 4}=\frac{5}{8}[/tex]
Since the ratio is the same, choice b is correct.
Let's go to the third choice.
c. The ratio of girls to total students is 8 to 13.
If the ratio of girls to total students is 13, that means there are 8 girls. The number of boys can be found by subtracting 8 from 13, which is 5. Make the amount as a fraction with boys over girls.
[tex]\frac{boys}{girls} =\frac{5}{8}[/tex]
Since the ratio is the same, choice c is correct.
Let's go to the fourth choice.
d. The Algebra class has 24 girls and 16 boys. This is the same ratio as girls to boys in the school.
Make the amount as a fraction with boys over girls.
[tex]\frac{boys}{girls} =\frac{16}{24}[/tex]
16 and 24 can be simplified. The greatest common factor of 16 and 24 is 8, so divide by 8.
[tex]\frac{boys}{girls} =\frac{16 \div 8}{24 \div 8} =\frac{2}{3}[/tex]
Since the ratio is not the same, choice d is not correct.
Lastly, the fifth choice.
e. If there are 208 students in the school, it is reasonable to expect there are 128 girls.
If there are 128 girls out of 208 students, the number of boys can be found by subtracting the number of girls from the amount of total students. 208 - 128 is 80, so there are 80 boys. Make the amount as a fraction with boys over girls.
[tex]\frac{boys}{girls} =\frac{80}{128}[/tex]
80 and 128 can be simplified. The greatest common factor of 80 and 128 is 16, so divide by 16.
[tex]\frac{boys}{girls} =\frac{80 \div 16}{128 \div 16}=\frac{5}{8}[/tex]
Since the ratio is the same, choice e is correct.
choice a ✔
choice b ✔
choice c ✔
choice d x
choice e ✔
Your answer is choice a, b, c, and e.
Of men in the US, 36.5% are obese, 32.5% are overweight, and the remaining 31% are at a healthy weight. Of those that are obese, 50.5% have or are at risk of diabetes. Of those that are overweight, 37.2% have or are at risk of diabetes. Of those at a healthy weight, 9.9% have or at risk of diabetes. The probability that a randomly chosen person has or is at risk of diabetes is:
a. 0.336
b. 0.96
c. 0.241
d. 0.107
e. 0.365
Answer:
D.) 0.107
Step-by-step explanation:
17.75X + 24 = 18.95x + 18
I'll give ye brainliest to whoever is first
Answer:
X = 5
Step-by-step explanation:
A coach gives 2 water bottles to each player on a basketball team. There are p players on the team. Which expression can be used to
determine the total number of water bottles that the coach gives the players on the team?
a 2
b
p+2
O
2p
ol
Answer:
2p
Step-by-step explanation:
2p, cause each person on the team needs 2 water bottles, making the equation 2 x P= 2p
This year a business hade a profit of $10,000. The profit is expected to increase by 12% each year. What will be the profit in six years?
Answer:
Question 858558: a buisness had $10,000 profit in 2000. then the profit increased by 8% each year for the next 10 years. write a function that models the profit in dollars over time Answer by josmiceli(19441) (Show Source):
In a game of darts, Peter threw a dart 20 times and hit the bullseye 3 times.
Based on this information, if Peter throws a dart 100 times, how many times
could he be expected to hit the bullseye?
A 20
B 60
C 15
D 5
Answer: 15
Step-by-step explanation:
Multiply the probability by 5
To help the environment and make some extra money, Darnell takes his empty cans to the Cash Not Trash recycling shop. The shop pays cash based on the total weight of the cans Darnell brings in for recycling.
There is a proportional relationship between the weight (in pounds) of the cans Darnell brings into the shop, x, and the amount (in dollars) the shop pays Darnell, y.
x (pounds) y (dollars)
6 $3
10 $5
12 $6
20 $10
What is the constant of proportionality? Write your answer as a whole number or decimal.
Answer:
Each pound equals $.50.
Step-by-step explanation:
3 divided by 6 equals .50.
Two quanties are in a relationship if all of the ratios are
proportional.
For example, One way to see if two ratios are proportional is to write them as fractions and then reduce them.
f) ¿Qué propiedades de la figura se conservan?
Answer:
No sé las opciones de respuesta, no puedo ayudarte, lo siento
Which table shows the correct values of time an earnings for a babysitter and $12 per hour?
Answer:
bottom left
1=12
2=24
4=48
6=72
Answer:
It is the one to the left on the bottem.
1=12, 2=24, 4=48, 6=72
Sydney accepted a new job at a company with a contract guaranteeing annual raises. Sydney's salary after working for n years can be determined using the equation S = 85000 + 1500n. What is the slope of the equation and what is its interpretation in the context of the problem?
Answer:1500 and the raise she will get each year
Step-by-step explanation:
Answer:
The slope of the function is 1500 which represents the raise that Sydney will get each year.
Step-by-step explanation:
The slope shows how much the salary increases each year, which is the same thing as saying that Sydney got a raise of $1500 every year.
Have a good day :)
Let |r| = 17 at an angle of 40° and |s| = 14 at an angle of 160°. Which expression represents |r + s|?
ty :3
Answer:
B
Step-by-step explanation:
I got it right on edge2020, 160-40= 120
120/2 = 60 because the angle was gonna be half way between the two angles
The expression that represent | r+s| is Option B
What is a Vector ?A vector is an object that has both magnitude and direction.
It is given that
|r| = 17 at an angle of 40 degree
|s| = 14 at an angle of 160 degree
| r + s| = ?
The magnitude will be determined by the cosine law
and the angle will be 60 degree , obtained from the figure attached with the answer.
[tex]\rm |r + s| = \sqrt{ 17^2 + 14 ^2 -2 * 14 *17 cos 60[/tex]
Therefore , the expression that represent | r+s| is Option B.
To know more about Vector
https://brainly.com/question/13322477
#SPJ2
Select ALL expressions that are equivalent to 18x - 6
16.4x - 6 + 1.6x
2(9x - 3)
12x - 6 - 6x
3(9x - 2)
6(3x - 1)
Add or subtract write your answer in simplest form
could you help me with this?
Karen is correct because
Step-by-step explanation:
10 to the 3rd power is 1000 and 560.9 divided by 1000 is 0.5609
Who knows thisssss ???
Answer:
(3, 2)
Step-by-step explanation:
y = 5x - 13
3x + 5y = 19
~Substitute since we know what "y" equals
3x + 5(5x - 13) = 19
~Simplify
3x + 25x - 65 = 19
28x - 65 = 19
~Solve for x
28x = 84
28x/28 = 84/28
x = 3
~Solve for y using what we got for x
y = 5(3) - 13
y = 15 - 13
y = 2
Best of Luck!
Answer:
(3,2)
Step-by-step explanation:
3x+5(5x-13)=19
3x+25x-65=19
28x-65=19
+65 +65
28x=84
84/28=3
x=3
y=5(3)-13
y=15-13
y=2
Jim baked 31 cookies. His family ate m of them. Using m, write an expression for the number of cookies that remained.
Answer:
31-m
Step-by-step explanation:
Hope this helps!
Answer:
31 - m
Step-by-step explanation:
Expressions don't have the equal sign, equations do.
The radius of a circle is 3 mm. What is the circles area?
Use 3.14 for
Answer:
28.26 square millimeters
Step-by-step explanation:
-pie- r^2
-pie- (3)^3
-pie- *9
3.14*9
28.26
use the graph to identify the slope and y-intercept. Can you help me identify them?
Answer:
Y intercept where it touches the y is -5
Slope is 6 from pt -5 it goes 6 and 1 to the right 6/1=6
Step-by-step explanation:
3. Solve the system using
substitution.
y = -5x +9
15x + 3y = 27
a. (0,9)
b. (1,4)
c. No solution
d. Infinite solutions
Answer:
D. Infinite solutions.
Step-by-step explanation:
Since they give us the equation for (y) we just implement that equation in place of (y) in the second equation
15x+3y=27 now becomes
15x+3(-5x+9)=27
Distribute the 3
15x-15x+27=27
15x and -15x cancel out
27=27
Infinite solutions since both sides are exactly equal.
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
-3(x – 14) + 9x = 6x + 4
Answer:
there are no solutions :3
no this is not a joke sjsjsj there are equations who has an answer and ones that are impossible to have a solution. use the no solution sign when you answer it or sum
Step-by-step explanation:
How would you write 2,405 using a power of ten
Answer:2405.0
Step-by-step explanation:
Answer:
2405^10=6.4736737e+33
combine like terms x + 10y - 4y + 4x
Answer: 5x + 6y
Step-by-step explanation:
A game field is 360 feet long. The practice field is 2/5 shorter than the practice field. How long is the game field?feet
Explain your reasoning.
Answer:
The practice field is 144 feet long.
Step-by-step explanation:
360 x 2/5 = 144
(You would multiply these numbers NOT divide!)
To check my math:
2/5 = 0.4
144/360 = 0.4
By doing the above check, I know the two equations are the same. By seeing this I can know that the answer is correct.
Simetricul unui punct fata de o dreapta
Answer: Un set de puncte are simetrie de linie dacă și numai dacă există o linie, l, astfel încât reflectarea prin l a fiecărui punct din mulțime să fie și un punct din mulțime.
Step-by-step explanation:
12y=17-9x and -4y-3x=31 solve by elimination
Answer:
0 ≠ 110
No solution
Step-by-step explanation:
Solve by Addition/Elimination
12y = 17 − 9x and −4y − 3x = 31
Reorder 17 and −9x. 12y = −9x + 17
−4y − 3x = 31
Add 9x to both sides of the equation.
12y + 9x = 17
−4y − 3x = 31
Reorder the polynomial.
9x + 12y = 17
−4y − 3x = 31
Reorder the polynomial.
9x + 12y = 17
−3x − 4y = 31 9x + 12y = 17
Multiply each equation by the value that makes the coefficients of x opposite.
9x + 12y = 17
(3) ⋅ (−3x − 4y) = (3) (31)
Simplify (3) ⋅ (−3x − 4y).
Apply the distributive property.
9x + 12y = 17
3 (−3x) + 3 (−4y) = (3) (31)
Multiply −3 by 3. 9x + 12y = 17
−9x + 3 (−4y) = (3) (31)
Multiply −4 by 3. 9x + 12y = 17
−9x − 12y = (3) (31)
Multiply 3 by 31. 9x + 12y = 17
−9x − 12y = 93
Add the two equations together to eliminate x from the system.
9x+12y=17
+−9x−12y=93
0=110
Since 0 ≠ 110, there are no solutions. No solution
Relative maximum: the point on the graph where the interval changes from A. Increasing B. Decreasing C. Input D. Output
What is the difference between -3 and -12?
Who ever answers first gets brainliest
And points
Answer:
-9
Step-by-step explanation:
all you do is 12-3 and its 9 but make sure to add the negative. Have a good day!
Answer:
-14
Step-by-step explanation:
{(y=7x+6),(4x-3y=16):}
Answer:
(−2, −8)
Step-by-step explanation:
Write the problem as a mathematical expression.
y = 7x + 6
4x − 3y = 16
Replace all occurrences of y in 4x − 3y = 16 with 7x + 6. 4x − 3 (7x + 6) = 16
y = 7x + 6
Simplify 4x − 3 (7x + 6).
−17x − 18 = 16
y = 7x + 6
Solve for x in the first equation.
Move all terms not containing x to the right side of the equation.
−17x = 34
y = 7x + 6
Divide each term by −17 and simplify.
x = −2
y = 7x + 6
Replace all occurrences of x with −2 in each equation.
Replace all occurrences of x in y = 7x + 6 with −2. y = 7 (−2) + 6
x = −2
Simplify 7 (−2) + 6.
y = −8
x = −2
The solution to the system is the complete set of ordered pairs that are valid solutions.
(−2, −8)
The result can be shown in multiple forms.
Point Form:
(−2, −8)
Equation Form:
x = −2, y = −8
Answer:
(−2, −8)
Step-by-step explanation:
I think
Trevor is making pumpkin bars with cream cheese frosting for a bake sale. He uses 1.5 cups of butter for the pumpkin bars. He only uses 0.25 times that amount for the frosting. How many cups of butter does Trevor use for the frosting
Answer:
[tex]Frosting = 0.375\ cups[/tex]
Step-by-step explanation:
Given
[tex]Pumpkin\ Bars = 1.5\ cups[/tex]
[tex]Frosting = 0.25\ times\ pumpkin\ bars[/tex]
Required
Determine the amount used for frosting
To calculate this, we simply multiply 0.25 by the amount used for pumpkin bars
This gives:
[tex]Frosting = 0.25 * 1.5\ cups[/tex]
[tex]Frosting = 0.375\ cups[/tex]
Hence, 0.375 cups of butter was used for frosting
Answer:0.385
Step-by-step explanation:
Step-by-step explanation:
Given
Required
Determine the amount used for frosting
To calculate this, we simply multiply 0.25 by the amount used for pumpkin bars
This gives:
Hence, 0.375 cups of butter was used for frosting
Please help me.......
Answer:
Step-by-step explanation:
graph b is the right answer
