Answer:
10 girls
11 boys
Step-by-step explanation:
set up a system of equations:
b represents boys, g represents girls
b+g=21 (since there is a total of 21 students)
11b+13g=251 (since each boy has 11 pockets, each girl has 13, total of 251)
i chose the method of substitution, so i solved the first equation to get
b=21-g
then i substitute 21-g for b in the second equation, and solve:
11(21-g)+13g=251
231-11g+13g=251
2g+231=251
2g=20
g=10
then, i solved for boys (by choosing the top equation and substituting 10 for g, since we now know that g=10)
b+g=21
b+10=21
b=11
so there are 10 girls and 11 boys in this class
There are 10 girls and 11 boys in the class.
What is an equation?"It is a statement which consists of equal symbol between two mathematical expressions."
What is system of equations?"It is a finite set of equations for which we find a common solution."
For given example,
Let 'x' be the number of girls and 'y' be the number of boys.
Each boy in a class has 11 pockets and each girl in the class has 13 pockets.
And in this class if all 21 students have a total of 251 pockets.
So, we have system of equations,
⇒ x + y =21 .......................(1)
⇒ 13x + 11y = 251 .......................(2)
From equation (1),
x = 21 - y ......................(3)
Substitute this value of 'x' in the equation (2),
⇒ 13(21 - y) + 11y = 251
⇒ 273 - 13y + 11y = 251
⇒ 273 -2y - 273 = 251 - 273
⇒ -2y = -22
⇒ y = -22 / -2
⇒ y = 11
This means, there are 11 boys in the class.
Substitute the value of 'y' in equation (3),
⇒ x = 21 - 11
⇒ x = 10
This means there are 10 girls in the class.
Therefore, there are 10 girls and 11 boys in the class.
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1/). Help ASAP Find the area of each circle to the nearest tenth
Answer:
153.9
Step-by-step explanation:
what number goes into the missing space
Answer:
12
Step-by-step explanation:
mrk me brainliest plzzzzzzzzzz
Answer:
b) 12
Step-by-step explanation:
The first image shows the top 2 numbers as 5 and 2 = 5 * 2
=> 10
The Second image shows the top 2 numbers as 3 and 3 = 3 * 3
=> 9
So, the third image shows the top 2 numbers as 2 and 6 = 2 * 6
=>12
Therefore, the missing space in the third circle is b) 12
Hope it helps :)
What is the image point of (8, 4) after a translation left 2 units and down 4 units?
Answer:
(6, 0 )
Step-by-step explanation:
A translation to the left means subtract 2 from the x- coordinate
A translation down means subtract 4 from the y- coordinate
Then
(8, 4 ) → (8 - 2, 4 - 4 ) → (6, 0 )
2(2x - 3) + 6 = 4x How many solutions does the equation have? A. no solutions B. one solution C. two solutions D. infinitely many solutions
Answer:
D. infinitely many solutions
Step-by-step explanation:
to find how many solutions the equation have, we can solve it
here's the given equation:
2(2x-3)+6=4x
our goal is to isolate the variable onto one side
do the distributive property shown in the equation (multiply both 2x and -3 by 2)
4x-6+6=4x
combine like terms (add -6 and 6)
4x=4x
subtract 4x from both sides, as we still have the variable on both sides
0=0
0 is always equal to 0; that's an identity
if we get to a point in an equation where we get an identity as the answer (ex. 3=3 or in this case, 0=0), the answer is all real numbers, or infinitely many solutions
Answer:
D. Infinitely many solutions.
Step-by-step explanation:
Line BC is a tangent line to the circle centered at A. If angle BAC is 64 degrees, what is the
measure of angle ACB? Explain/show your reasoning.
Answer:
Here.
Step-by-step explanation:
Step-by-step explanation:
BC is tangent to the circle at point B.
Therefore, by tangent-radius theorem:
Step-by-step explanation:
BC is tangent to the circle at point B.
Therefore, by tangent-radius theorem:
9. Joanna is considering two job offers. Phoenix Fashions offers
$1500/month plus 2.5% commission. Styles by Rebecca offers
$1250/month plus 5.5% commission.
a) Create a linear system by writing an equation for each salary.
b) What value of sales would result in the same total salary
for both jobs?
c) Which job should Joanna take? Explain your answer.
Answer:
A] 1500 + 0.025x , 1250 + 0.055x ; B] Sales value = 8333
C] Offer 1, if prefers more fix salary over additional incentive. And, offer 2 if prefers additional incentive over fix salary.
Step-by-step explanation:
Let the sales be = x
A] Offer 1 = 1500 + 2.5% comm on sales = 1500 + 2.5%x = 1500 + 0.025x
Offer 2 = 1250 + 5.5% comm on sales = 1250 + 5.5%x = 1250 + 0.055x
B] Value of sales, resulting in total salary : at equation 1 = equation 2
1500 + 0.025x = 1250 + 0.055x
1500 - 1250 = 0.055x - 0.025x → 250 = 0.03x
x = 250 / 0.03 → x (Sales value) = 8333
C] Which job she should take, would depend on her preferences.
If she wants more fixed salary, & less above per unit achievement, she should take offer 1 as fixed salary 1500 > 1250. If she wants less fixed salary & more additional incentives, she should take offer 2, as commission 5.5% > 2.5%
PLEASE HELP ASAP GIVING 100 POINTS
1. Finicus Jones is a wildlife researcher in South America. He has been studying green vine snakes and flatbread snakes. He randomly selected eight adults of each type of snake, measured them, and recorded their lengths in cm.
Green vine snake: {153, 172, 170, 172, 166, 174, 150, 153}
Flatbread snake: {144, 122, 150, 134, 144, 127, 142, 149}
(a) Create a line plot for each data set.
(b) Calculate the mean and MAD for each type of snake. (round to the nearest hundredth). Show your work.
(c) Calculate the means-to-MAD ratio for the two types of snakes. Show your work.
(d) What inference can be made about the length of both types of snakes? Explain
2. The manager at a new radio station wants to know what kind of music is popular in the area. She surveys people at random as they exit a supermarket between noon and 2 pm on a Monday.
(a) Is this sample biased or unbiased? Explain your reasoning in complete sentences.
(b) Suggest another method she could use to survey people in the area that would get an unbiased result.
Answer:
this is so easy like just put variables a in b
Step-by-step explanation:
hope you get it
The Question is what is the mean of the snakes lengths. The mean means you line all of your numbers up in order then you add all of the numbers up and when you get the total you divide the total plus the amount of numbers you have. So in this case the numbers would be: 8,17,22,39,44..next you would add all them up so it would be the next step would be to count the numbers up and divide that by the total...so it will be 5/130=26 so the mean for this question will be 26....hope it helps :)
PLEASE HELP NO SCAM
¼ (x+12) = 2
Answer:
1/4 ( x + 12 ) = 2 : x = -4
Step-by-step explanation:
4 x 1/4 (x + 12 ) = 2 x 4
x + 12 = 8
x + 12 - 12= 8 - 12
x = -4
find the perimeter of the shaded region
Answer:
13 u²
Step-by-step explanation:
How do I solve this problem?
========================================================
Explanation:
The notation [tex]a_1[/tex] refers to the first term. So the first term is 21.
The d = -3 is the common difference. It's the value we add onto any given term to get the next following term.
We can say:
second term = (first term) + (common difference)
second term = [tex]a_1 + d[/tex]
second term = 21 + (-3)
second term = 18
Through similar steps, you should find that the third term is 15, the fourth is 12, and so on. Each time we decrease by 3.
The arithmetic sequence would be: 21, 18, 15, 12, 9, ...
The first three terms are 21, 18, and 15.
How many feet of fencing is needed to enclose a rectangular garden with a 9 foot long side and a 15 foot long diagonal
Answer:
42 ft
Step-by-step explanation:
To find the unknown side:
[tex]\sqrt{15^2-9^2} =12[/tex]
Total perimeter: 2(12 + 9) = 42 ft
hey what's the answer !!
[tex] \sqrt{98 - ( 17)} [/tex]
(ﾉ≧∇≦)ﾉ
Answer:
√98-17
=√ 81
=√ (9)^2
=9 is ans
Answer:
[tex] \sqrt{98 - ( 17)} [/tex]
[tex] {\sqrt{81}} [/tex]
[tex] {\sqrt{9²}} [/tex]=±9
is your answer
what is x? 60 or 100
3x2 – 5x + 2
please help me solve this
Answer:
3x2 – 5x + 2 = ( 3x-2)( x-1)
Step-by-step explanation:
I hope this helps you!
Have a nice dayyy <3
Answer:
[tex](3x-2)(x-1)[/tex]
Step-by-step explanation:
PLZ NEED HELP ASAP SHOW WORK TO PLZ IT WOULD MEAN A LOT
First Chart: Perimeter
Square Portion:
Original Side Lengths: P = 4 (1 + 1 + 1 + 1 ) =4
Double Side Lengths: P = 8 (2 x 4 = 8)
Triple Side Lengths: P = 12 (4 x 3 = 12)
Quadruple Side Lengths: P = 16 (4 x 4 = 16)
Rectangle Portion:
Original Side Lengths: P = 6 (1 x 2 + 2 x 2 = 6)
Double Side Lengths: P = 12 (2 x 2 + 4 x 2 = 12)
Triple Side Lengths: P = 24 (4 x 2 + 8 x 2 = 24)
Quadruple Side Lengths: P = 48 (8 x 2 + 16 x 2 = 48)
Second Chart: Area
Square Portion:
Original Side Lengths: A = 1 (1 x 1 = 1)
Double Side Lengths: A = 4 (2 x 2 = 4)
Triple Side Lengths: A = 9 (3 x 3 = 9
Quadruple Side Lengths: A = 16 ( 4 x 4 = 16)
Rectangle Portion:
Original Side Lengths: A = 2 ( 1 x 2 = 2 )
Double Side Lengths: A = 8 ( 2 x 4 = 8)
Triple Side Lengths: A = 18 ( 3 x 6 = 18)
Quadruple Side Lengths: A = 32 (4 x 8 = 32)
ALGEBRA 1 / GRAPHING
Answer:
first and third from up to down
Step-by-step explanation:
you use a dashed line if the inequality does not have an equal so is just > or <
3. During geometry class, Mr. Jones constructed the perpendicular bisector of segment AB as
shown below.
If AC = 4x + 12 and BC = 2x + 18, find AB.
A. 3
B. 6
C. 24
D. 48
Answer:
D
Step-by-step explanation:
a square tile has width of 1/4 foot. how many tiles will fit end to end along a 4 foot wall
16 tiles
8 tiles
4 tiles
1 tile
Answer:
16 tiles
Because there are 4 parts in 4/4 and the if you have 4 of the four parts that is 16.
Find all the missing angles: a, b, c, d.
Explain if you can, if it’s right I’ll give BRAINLIST.
Answer:
a= 180-60-55=65
we know that the angle of a flat(?) ground would be 180, so we can take away the 60 and 55 to find a.
b=180-90-65=25
the sum of interior angle of a triangle would be 180, now we know what a is, also the right angle is 90, now we can take away the 90 and 65 to find b.
c=25
c is 25, because two angles on both sides of a X is the same
Y= 200,000 (0.95)^2. How many birds will be there in 10 years?
Answer:
Kathleen, a professional golfer, had an average score last season
of 80 points. This season, her average score has been 72 points.
What is the percent of decrease in Kathleen's average score
Please help me with this
Choose the statement that best describes the error in finding the volume of the solid.
Answer:
the formula used gives surface area instead of volume
Line AC is tangent to circle O at point C what is the length of line segment AC
Answer:
tangent is a line passing a circle and tuching it at just 1 point
Step-by-step explanation:
A student received a coupon for 10% off the total purchase price at the clothing store. Let x be the original price of the purchase. Use the expression below for the new price of the purchase. Write an equivalent expression by combining like terms.
x - 0.1x =
Answer:
All most there. buddy:-)
The surface area of a three-dimensional object is? This is a brainpop question, there is no picture, and tis a straight forward question
Answer:
What it is is basically when you take the area of every side of a three dimensional shape and then add it all together.
don't know if this is what you were looking for but I hope this helps.
Given the passage, what determination can you make about the setting? How does the setting affect Jonathan’s behavior?
Answer: the area is affected by crime. He is protective of his money. Both right on edge
Step-by-step explanation:
Answer: a b
Step-by-step explanation:
[tex]\frac{3}{4}\alpha-1\frac{1}{5}=2\frac{3}{4}[/tex]
Can you help me for brainlist and explain it to me.
Circle the table letter below that represents a proportional relationship to this original table:
Cups of Flower Number of cookies
0.5 1 dozen
3/4 1.5 dozen
3 6 dozen
Answers:
(A)
Cups of Flower Number of cookies
1 2 dozen
1/4 0.5 dozen
1.5 3 dozen
(B)
Cups of flower Number of cookies
1 1.5 dozen
3/4 1 dozen
1.5 3 dozen
(C)
Cups of flower Number of Cookies
0.5 1 dozen
3/4 1.5 dozen
2 5 dozen
(D)
Cups of flower Number of cookies
1.5 3 dozen
3/4 0.5 dozen
4 8 dozen
Answer:
immma send you the link friend me on hereStep-by-step explanation:
The owners of a smoothie shop want the price of each size smoothie to be proportional to the amount of liquid it contains. A small smoothie will be 16 fluid ounces and sell for $3.52
Answer:
?
Step-by-step explanation:
Whats the question?
The proportionality constant if, A small smoothie will be 16 fluid ounces and sell for $3.52 is 22.
What is proportionality?When the corresponding elements of two numerical sequences, frequently experimental data, have a fixed ratio, this is referred to as the coefficient of proportionality, and the two sequences are said to be proportional or directly proportional.
Given:
A small smoothie will be 16 fluid ounces and sell for $3.52,
Convert the price of the smoothie in cents as shown below,
The price of a smoothie = 3.52 × 100 ($1 = 100 cents)
The price of a smoothie = 352 cents
Calculate the proportionality constant as shown below,
The proportional constant = Fluid / price
The proportional constant = 352 / 16
The proportional constant = 22
Thus, The proportional constant is 22.
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The complete question is: The owners of a smoothie shop want the price of each size smoothie to be proportional to the amount of liquid it contains. A small smoothie will be 16 fluid ounces and sell for $3.52. Find the proportionality constant.