On a team, 7 girls and 2 boys scored a total of 64 points. The difference between the number of points scored by the 7 girls and the number of points scored by the 2 boys is 48. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each boy.
Answer:
Each girl scores 8 points while each boy scores 4 points
Step-by-step explanation:
Let the number of point scored by the 7 girls and 2 boys be x and y respectively.
Thus, since 7 girls and 2 boys scored a total of 64 points, then;
7x + 2y = 64 - - - (1)
Also, difference between the number of points scored by the 7 girls and the number of points scored by the 2 boys is 48. Thus;
7x - 2y = 48 - - - (2)
Add eq(1) to (eq 2) to get;
14x = 64 + 48
14x = 112
x = 112/14
x = 8
Put 8 for x in eq(1) to get;
7(8) + 2y = 64
56 + 2y = 64
2y = 64 - 56
2y = 8
y = 8/2
y = 4
Thus,each girl scores 8 points while each boy scores 4 points
The equation y = -4.9x^2 + 9.8x + 2 models the trajectory of a ball thrown in the air by a man, where y = the distance the ball is from the ground in meters and x = the elapsed time in seconds. What is the greatest distance the ball is from the ground?
a) 2.2 meters
b) 9.8 meters
c) 6.9 meters
d) 4.9 meters
My guys pls come help me I will give brainliest
Answer:
6ft
Step-by-step explanation:
Answer:
sorry dude
Step-by-step explanation:
simplify. help please
Answer:
64p^12 / 27
Step-by-step explanation:
Pls help me..... It due ASAP
Answer:
D
Step-by-step explanation:
D is the right answer for the question
Plzzzzzz help! What is the area of figure A?
Answer:
A=24m^2
Step-by-step explanation:
to find the area of this figure you can approach it multiple ways, the simplest way is to split it into two rectangles
respectively one 6m by 3m and another 3m by 2m
find the areas of each rectangle and add them both to get the total area of the figure
(6m*3m)+(3m*2m)=(18+6)m^2=24m^2
another one of these, god help me
Answer:
24x+48
Step-by-step explanation:
(3x+6)(8)
=8(3x+6)
=(8*3x)+(8*6)
=24x+48
Answer: 24x + 48
Step-by-step explanation:
The formula to find the are of a rectangle is A=LW. A being the total area, W being the width, or the value on the bottom (8), and L being length how tall the object is (3x+6).
First you must replace L and W, for their given values.
A= (L) (W)
A= (3x+6) (8)
Then, simply simplify by multiplying 3x+6 by 8
You would end up getting 24x + 48
Line I is parallel to line m. If the measure of <6 is 75, what is the measure of <3
Answer:
m∠3 = 105°
Step-by-step explanation:
Line 'l' is parallel to line 'm' and a transversal is intersecting these parallel lines at two distinct points.
m∠3 + m∠6 = 180° [Consecutive interior angles]
Since, ∠6 = 75° [Given]
m∠3 + 75° = 180°
m∠3 = 180 - 75
= 105°
Therefore, measure of ∠3 is 105°.
In the given diagram, the measure of ∠3 is 105°
From the question,
We are to determine the measure of ∠3
In the diagram, ∠3 and ∠6 are consecutive interior angles
NOTE:
If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary
That is,
∠3 + ∠6 = 180°
From the given information,
∠6 = 75°
Then, we can write that
∠3 + 75° = 180°
∠3 = 180° - 75°
∠3 = 105°
Hence, the measure of ∠3 is 105°
Learn more on finding the measures of angles here: https://brainly.com/question/2883630
You work as a taxi driver. you earn an average of $75 in tips everyday.
Which graph best represents the relationship between time and the cumulative total of your tips?
Answer:
A
Step-by-step explanation:
it should be A because if
x-axis represents the time, at the beginning of the day x = 0 and
y-axis the $, at the beginning of the day should be y= 0
Answer:
a linear graph would best represent the relationship
Step-by-step explanation:
just did the khan academy thing
draw a number line with the solution to :1/4 - 1/2
simplify. enter the answer in the box. PLEASE I NEED IT ASAP
Answer:
21√7
Step-by-step explanation:
Which of these curves on the graph below could indicate a function?
Answer:
A
Step-by-step explanation:
Vertical Line test will determine if a graph is a function or not
Help please: I'll give you kool aid if you do
Answer:
Its a scammmmmm
Step-by-step explanation:
Answer:
Step-by-step explanation:
There are 8 boys and 12 girls in mr.Rossi’s class. One student Will be chosen randomly to represent the class at the conference of seventh grade. What is the probability that the representative will be a girl?
Step-by-step explanation:
[tex]8 + 12 = 20 \\ probability \: = expected \: outcome \div possible \: outcome \\ \\ \\ \frac{12}{20 } = \frac{3}{4} [/tex]
PLEASEEE ANYONEE HELP MEE IM ALMOST DONE
Answer:
Step-by-step explanation:
HELP ASAP
a country's population in 1993 was 85 million.
In 1996 it was 90 million. Estimate
the population in 2015 using the exponential
growth formula. Round your answer to the
nearest million.
129 million I took the application already
Mai is making personal pizzas for a party she uses 10 ounces of cheese to make four pizzas at this rate how much cheese will she need to make 18 pizzas?
Answer: 45
Step-by-step explanation:
From the question, we are informed that Mai is making personal pizzas for a party and that she uses 10 ounces of cheese to make four pizzas. The number of ounce per pizza will be:
= 10/4 = 2.50 ounces per pizza
Therefore, the number of ounces of cheese that will be needed to make 18 pizzas will be:
= 2.50 × 18
= 45 ounces of cheese
Bridget and Caroline win some money and share it in the ratio 5:3. Bridget gets £65. How
much did they win in total?
Answer:
£104
Step-by-step explanation:
5:3 = 65:X
65÷5=13
X=13×3
x=39
total=65+39
total=104
how do i find the mean and median for this line of numbers?
42,51,64,55,51,54,51,69
Answer:
52.5
Step-by-step explanation:
Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.
Answer:
The mean is 47.875 and the median is 51
Explanation:
To find the mean you have to add up all of the numbers together, and then divide that number (383) by how many numbers there are (8) so then you would get 47.875. Now you have to find the median. To find the median you have to place the numbers from the lowest to the greatest which would be 42, 51, 51, 51, 55, 64, 69. Then you basically just pick the number in the middle which is 51, so 51 is the median.
Sam and her friends are going on a road trip that is 124.8 miles long they have already driven 112.9. How much farther do they have to drive? 10
y = 2x + 4.6
m = ____ b = ____
fill in the blank !!!
Answer:
m = 2, b = 4.6
Step-by-step explanation:
The slope intercept formula is y = mx + b, So you can substitute for the values given.
-. The ratio of boys to girls at a birthday party is
4:5. If there are 35 girls, how many boys are
there?
Answer:
28
Step-by-step explanation:
The 5 part of the ratio represents 35 girls , then
35 ÷ 5 = 7 ← value of 1 part of the ratio, then
4 parts = 4 × 7 = 28 ← number of boys
Answer:
28 boys
Step-by-step explanation:
4*35=140
140/5=28
so 28 boys
[tex](\frac{3x^-3y^4}{5x^6y^7 })^-2[/tex]
9514 1404 393
Answer:
(25/9)x^18·y^6
Step-by-step explanation:
Maybe you want this simplified.
The appropriate rules of exponents are ...
(a^b)/(a^c) = a^(b-c)
(a^b)^c = a^(bc)
__
[tex]\left(\dfrac{3x^{-3}y^4}{5x^6y^7}\right)^{-2}=\left(\dfrac{3x^{-3-6}y^{4-7}}{5}\right)^{-2}=\dfrac{3^{-2}}{5^{-2}}\cdot x^{(-2)(-9)}y^{(-2)(-3)}\\\\=\boxed{\dfrac{25}{9}x^{18}y^{6}}[/tex]
Diana and Sujit clean homes for a summer job. They charge $70 for the job plus 5% for supplies. A homeowner gave them a 15% tip. How much money did they receive for their job?
Answer:
Yes! Total received was $84.525
Step-by-step explanation:
Note that 5% is another way of writing
5
100
Charge:
→
$
70
+
(
5
100
×
70
)
=
$
73.5
15% tip
→
15
100
×
Charge
→
15
100
×
$
73.5
=
$
11.025
Total income:
→
$
73.5
+
$
11.025
84.525
=
$Did they receive more than $82
→
Yes
Answer:
Total received was $84.52
(Help asap) If the base of a ladder is 5ft from a building how long must the ladder be to reach a window in the building that is 15ft above the ground?
A) 14.1 feet
B) 20.0 feet
C) 15.8 feet
D) 10.0 feet
Answer:
C. 15.8
Step-by-step explanation:
√a²+b² =c²
√15²+5²=15.8²
BTW are you trying to sneek out. lol
*plz mark brainliest*
What is a force described by
Answer:
a force is described by its strength and by the direction in which it acts. -The strength of a force is measured in the SI unit called the Newton (N).
Step-by-step explanation:
What is the equation of the blue line?
Answer:
Step-by-step explanation:
The blue line is the translate in the direction of the red line by , and therefore has equation y = 3 ( x − 4 ) + 5 or y = 3 x − 7 .
The linear equation is y = -x - 1 for the graph of the linear equation where -1 is the slope of the linear equation and -1 is the y-intercept.
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
As we can see from the graph of the linear equation:
The x-intercept a = -1
And the y-intercept b = -1
We know the linear equation in terms of a and b can be modeled:
[tex]\rm \frac{x}{a} +\frac{y}{b} =1\\\\\rm \frac{x}{-1} +\frac{y}{-1} =1\\\\[/tex]
x + y = -1
y = - x - 1
Thus, the linear equation is y = -x - 1 for the graph of the linear equation where -1 is the slope of the linear equation and -1 is the y-intercept.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
Savannah shoped 98 glass bowls to her mother. If she divided the bowls equally among
8 boxes, how many bowls did Savannah put in each box?
h (x) = x + 4; Find h (x – 3)
Answer:
The answer is option 2.
Step-by-step explanation:
You have to substitute the expressions into x :
h(x) = x + 4
h(x - 3) = (x - 3) + 4
h(x - 3) = x - 3 + 4
h(x - 3) = x + 1
Jacqui is selling scented candles as a fundraiser for a school field trip. Each cinnamon candle sells for $3.50 and each chocolate candle sells for $2.50. She raised a total of $94.50 for the trip. The number of chocolate candles that Jacqui sold is three less than twice the number of cinnamon candles. Let c represent the number of chocolate candles and let m represent the number of cinnamon candles. How many chocolate candles did Jacqui sell?
Answer:
Number of cinammon = 12
Number of chocolate = 21
Step-by-step explanation:
Given that:
Cost of Cinnamon candle , c = $3.50
Cost of chocolate candle , d = $2.50
Total amount raised, T = $94.50
d = 2c - 3
Total amount = (cost of Cinnamon * number sold) + (cost of chocolate * number sold)
94.50 = (3.50 * c) + (2.50 * (2c-3))
94.50 = 3.50c + 5c - 7.5
94.50 = 8.50c - 7.5
94.50 + 7.5 = 8.50c
102 = 8.50c
c = 102 / 8.50
c = 12
d = 2c - 3
d = 2(12) - 3
d = 24 - 3
d = 21
Answer:
D.) 21
Step-by-step explanation: