Answer:
Each girl scored 9 points
Each boy scored 7 points
Step-by-step explanation:
Let the number of points each girl scored = a
Let the number of points each boy scored = b
7 girls and 6 boys scored a total of 105 points.
7a + 6b = 105......... Equation 1
The difference between the number of points scored by the 7 girls and the number of points scored by the 6 boys is 21
7a - 6b = 21........... Equation 2
7a + 6b = 105......... Equation 1
7a - 6b = 21........... Equation 2
Subtract Equation 2 from Equation 1
12b = 84
b = 84/12
b = 7
Therefore, each boy scored 7 points
7a + 6b = 105......... Equation 1
b = 7
7a+ 6b = 105
7a + 6(7) = 105
7a + 42 = 105
7a = 105 - 42
7a = 63
a = 63/7
a = 9
Therefore, each girl scored 9 points.
On the coordinate plane shown below, points and have coordinates and , respectively. Design a strategy in which the Pythagorean theorem is used to calculate the straight line distance between points and on a coordinate plane. Use complete sentences to describe the strategy. Use the Pythagorean theorem to determine the distance between the two points on the coordinate plane. In your final answer, include all of your calculations. Use the distance formula and the coordinates of points and to prove that the Pythagorean theorem is an alternative method for calculating the distance between points on a coordinate plane. In your final answer, include all of your calculations.
Answer:
See explanation
Step-by-step explanation:
The question is incomplete because the image is missing. However, I have attached an image from Lumen learning to help you understand how to calculate the difference between two points on a straight line graph.
Given two points (x1,y1) and (x2,y2) on a straight line graph as shown in the image attached, a straight line drawn to join the two points gives the distance between the two points. This line drawn to join the points becomes the hypotenuse of a triangle ABC.
Given that;
(x2-x1) =a
(y2-y1)=b
distance =c
Recall that Pythagoras's theorem states that;
[tex]c= \sqrt{a^{2} + b^{2} }[/tex]
Then, according to Pythagoras's theorem;
c =√(x2-x1)2 + (y2-y1)2)
Simply put;
c=√(difference between abscissae)2 - (difference between ordinates)2
You can now substitute values and obtain a numerical result.
Which fraction is greater than the fraction represented by the model? A circle divided into 8 equal parts. 3 parts are shaded. One-fourth StartFraction 7 over 16 EndFraction One-eighth StartFraction 3 Over 16 EndFraction
Answer:
7/16
Step-by-step explanation:
Just took the test! :)
Answer:lol i agree
Step-by-step explanation:
In Diagram 1, the value of x is what?
Answer:
x = 18.75
Step-by-step explanation:
The angles are alternate interior angles and alternate interior angles are equal when the lines are parallel
3x-10 = 65-x
Add x to each side
3x-10+x = 65-x+x
4x-10 = 65
Add 10 to each side
4x-10+10 = 65+10
4x = 75
Divide each side by 4
4x/4 = 75/4
x = 18.75
Which inequality is true? A number line going from negative 3 to positive 3 in increments of 1. StartFraction 5 Over 6 EndFraction less-than negative one-third 2 and one-third greater-than 2 and one-sixth 2 less-than negative 2 and one-half 1 and one-fourth greater-than 1 and one-third
The inequality is true.
Inequality is one that leads to unequal or biased outcomes and is an unjust distribution of resources and opportunities. It leads to an increased resolution of the opportunities and resources. Has a socio and political-economic structure.
Thus the answer is 3 to +3 in increments of 1 5/6 to -1/3 21/3 >21/6.
The inequality makes the comparisons between no. or the expressions in the terms of greater or less depending on how numbers are arranged on the number line.A number line that is going from the negative 3 to positive 3 and is in increasing order. The second one shows the positive value of 5/6 towards decreasing and a negative value of the -1/3 hence is also correct The third one depicts the 2 and one-third greater than 2 and one half.Hence the option 1, 2, and 3 are true.Learn more about the inequality is true.
brainly.com/question/19366916.
Answer:
i have a feeling it is b
Step-by-step explanation:
Help needed ASAP will give brainliest AND 5 STARS RATE not a real test
2 - 300 calories
3 - 1260 calories
6 - 20g
7 - 70mg
If you cut a 3 ¾ ft. length of wire into pieces that are ¼ ft. long, how many pieces
of wire will you have?
Answer:
3 2/4
Step-by-step explanation:
3.5 or just 3 if you round
WILL MARK BRAINLIEST FOR RIGHT ANSWER!!!!! 1×6 square unit rectangular grid has to be covered with six 1×1 square unit tiles. Three of the tiles are yellow, two are white, and one is blue. In how many ways can this task be done if:
a) there are no restrictions
b) no neighbouring tiles should be the same colour
c) at least one pair of neighboring tiles are the same color
Answer:Well the first one is 60
Step-by-step explanation:6!/3!2!=60 thats all i got
Answer:
60 for the first one
Step-by-step explanation:
a plus zero equals a is an example of which addition property
Answer
:Identity Property of Addition
Step-by-step explanation:
PLSSS HELP ME I WILL MARK U!!!!!!!
Answer: am not 100% sure but shouldn't it be all if them?
Step-by-step explanation:
Answer:
Everything except 2
Step-by-step explanation:
Terms are separated by signs. 2 is the coefficient (number in front of a variable)
Ricardo works in the marketing department of a game design company. His boss has offered to bonus the entire department of their average monthly game sales for March through July have been 4,567,5430,3998,5,220,and 4,906 respectively. How many games must they sell in august to earn the bonus.
Answer:
Approximately 4824 gamesStep-by-step explanation:
Given that the sales made are 4,567 ,5430, 3998, 5,220,and 4,906
the average is (4567+5430+3998+5220+4906)/5
=24121/5
=4824.2
in the month of august let the sales be x
average= (4567+5430+3998+5220+4906+x)/6
the average for march to july is 4824.2
4824.2= (4567+5430+3998+5220+4906+x)/6
24121+x=4824.2*6
24121+x=28945.2
x=28945.2-24121
x=4824.2
approximately 4824 games
does anybody know how to solve this equation 5+3∣10−4x∣=20
x = 5/4 or x = 15/4
Step-by-step explanation:
SOMEONE HELP ME WITH THIS PLSSS ITS REALLY IMPORTANT IDK WHAT TO DO
x2 + 45x = -200 Using the quadratic formual and the discirimnat
Answer:
Positive discriminant = 2 real solution
x= -5,-40
Step-by-step explanation:
The discriminant is used to see how many solutions an equation has. If it is negative, the equation has no real solutions, if =0 the equation has 1, and if it is positive, the equation has two real solutions.
The discriminant is the part of the quadratic formula inside the square root:
[tex]b^{2}-4ac[/tex]
Every quadratic formula has the structure:
[tex]ax^{2} +bx+c=0[/tex]
So first, in order to meet this structure we need to add 200 to both sides so the equation is equal to 0. This gives us:
[tex]x^{2} +45x+200=0[/tex]
Our a=1, b=45 and c=200
Now we can substitute these values into the discriminant:
[tex](45)^{2} -4(1)(200)[/tex]
Solve:
[tex]2025-800=1225[/tex]
The discriminant is a positive number which means this equation will have 2 real solution. Now we just need to plug in our values into the quadratic formula to solve this equation. Quadratic formula:
[tex]x=\frac{-+/-\sqrt{b^{2}-4ac} }{2a} \\x=\frac{-45+/-\sqrt{1225} }{2}[/tex]
(Same discriminant value)
[tex]x=\frac{-45+/-35}{2}[/tex]
Now to find the two solutions, we use both signs in the equation. Solution 1:
[tex]x=\frac{-45+35}{2}[/tex]
[tex]x=\frac{-10}{2}=-5[/tex]
Our first solution is -5, now for the second:
[tex]x=\frac{-45-35}{2}\\\\ x=\frac{-80}{2}=-40[/tex]
The two solution to this equation are -5 and -40.
Hope this helped!
Which is the better buy, 6 bagels for $3.29 or 8 bagels for $4.15? Justify your answer.
Answer:
The better deal is 8 bagels for $4.15
Step-by-step explanation:
6 bagels for $3.29
3.29/ 6 = $.54833333 per bagel
8 bagels for $4.15
4.15/ 8 =$.51875 per bagel
The better deal is 8 bagels for $4.15
Answer:
buy 8 bagles
Step-by-step explanation:
because you can get more for less like if their were selling toy cars 4 for 2 and at the truth store it was 10 for 1 wich would you rather choose
Kathy ran the 400-meter dash in 60.48 seconds. She ran the 200 meter dash in 28.9 seconds.If she divided her 400-meter dash time in 8 equal time segments, how long would it take cathy to run one of these segments Please HELPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
Kathy would take 7.56 seconds to run each of the 8-time segments of the 400-meter dash.
Step-by-step explanation:
Kathy ran the 400-meter dash in 60.48 seconds, so if she now divided that time into 8 equal time segments we have:
[tex] t = 60.48 s [/tex]
By dividing the above equation into 8:
[tex] t = \frac{60.48 s}{8} = 7.56 s [/tex]
Hence, she would take 7.56 seconds to run each of the 8-time segments of the 400-meter dash.
I hope it helps you!
If the measure of the third angle of the triangle is 45 ° more than three time the measure of either of the other two angles, find the measure of each angle of the triangle. (Recall that the sum of the measures of the angles of a triangle is 180°.)
Answer:
The first and second angles are 27° and the third angle is 126°.
Step-by-step explanation:
We have that the third angle (β) is 45° more than three times the measure of either of the other two angles (θ):
[tex] \beta = 45 + 3\theta [/tex] (1)
Also, the sum of the measures of the 3 angles is 180°:
[tex] \beta + \theta + \theta = 180 ^{\circ} [/tex] (2)
By entering equation (1) into equation (2) we have:
[tex] 45 + 3\theta + \theta + \theta = 180 [/tex]
[tex] 5\theta = 180 - 45 [/tex]
[tex] \theta = 27 [/tex]
Hence, the third angle is:
[tex] \beta = 45 + 3\theta = 45 + 3*27 = 126 [/tex]
Therefore, the first and second angles are 27° and the third angle is 126°.
I hope it helps you!
I need help with this please
Answer:
b
Step-by-step explanation:
Answer:
The answer is B. since the m on the bottom is negative you are taking it away. You basically just combine your variables to make the equation.
Step-by-step explanation:
Mark walk miles in 5 hours how many miles did Mark walk in 1 hour?
[tex]m6 + 64n6[/tex]
2x + 3b = 156
5 = b + 8
Answer:
x = 29 , b = -3
Step-by-step explanation:
5 = b + 8
5 - 8 = b
-3 = b
b = -3
2x + 3b = 156
156 / 3 = 52
52 / 2 = 26
x + b = 26
26 + 3 = 29
x = 29
f(n)=2n+1
g(n)=3n
Find f(n)+g(n)
Answer:
[tex]\longrightarrow 5n+1\longleftarrow[/tex]
Step-by-step explanation:
[tex]f(n)=2n+1\\\\g(n)=3n\\\\f(n)+g(n)=?\\\\\longrightarrow (2n+1)\longleftarrow\\\\+\longrightarrow (3n)\longleftarrow\\\\f(n)+g(n)=2n+1+3n\\\\=(2n+3n)+1\\\\=(2+3)n+1\\\\=5n+1\longleftarrow \\\\\dagger[/tex]
Answer:
[tex]\boxed {\tt f(n)+g(n)=5n+1}[/tex]
Step-by-step explanation:
We want to find f(n) + g(n) . Basically, we have to find the sum of f(n) and g(n).
[tex]f(n)+g(n)[/tex]
We know that:
[tex]f(n)=2n+1\\g(n)=3n[/tex]
Therefore, we can substitute 2n+1 in for f(n) and 3n in for g(n)
[tex](2n+1)+(3n)[/tex]
Combine like terms. The terms 3n and 2n both have a "n" so they can be combined.
[tex](2n+3n)+(1)[/tex]
[tex](5n)+1[/tex]
[tex]5n+1[/tex]
f(n)+g(n) is equal to 5n+1
Describe the transformation
A) translation 2 units down
B) reflection across y=-1
C) reflection across the x-axis
D) across the y-axis
Answer:
C.
Step-by-step explanation:
7+ (-5)+(-2)=0
7+ (5)+(2)=0
7+(-4)+(-3)=0
7+(-6)+(-1)=0
Answer:
1. true
2. false
3. true
4. true
A freight train is traveling at an average rate of 45 miles per hour. Which equation represents the situation?the miles traveled.
m = 45h
h = 45m
m
Answer:
m=45
Step-by-step explanation:
I hour travels 45 minutes
Answer:
m=45h
Step-by-step explanation:
your welcome
A line has a slope of 2 and passes through the points (4,1) what is the equation in slope intercept form?
Answer:
y=2x-7
Step-by-step explanation:
Answer:
idk
Step-by-step explanation:
cuz
19th October, 2020
the diagram below is a plane figure made up
of a rectangle of sizes 50m by 28 m and an
equilateral of height 24 cm. A circle is cut-out
of the rectangle as shown. If the circle
touches the three sides of the rectangle Calculate
a) the perimeter of the figure
the remaining portion of the figure.
Answer:
Step-by-step explanation:
Equilateral Triangle:
Side of triangle = breadth of rectangle
= 28 cm
height = 24 cm
Area of triangle = [tex]\frac{1}{2}base * height\\\\[/tex]
= [tex]\frac{1}{2}*28*24[/tex]
= 28* 12
= 336 square cm
Rectangle:
length = 50 m
breadth = 28 m
Area of rectangle = length * breadth
= 28 * 50
= 1400 square cm
Diameter of circle = breadth of rectangle
d = 28 cm
r = 28/2 = 14 cm
Area of circle = πr²
[tex]= \frac{22}{7}*14*14\\\\= 22 * 2 * 14[/tex]
= 616 square cm
Area of the remaining portion = Area of rectangle - area of circle + area of triangle
= 1400 - 616 + 336
= 1120 square cm
Perimeter of the figure = 28 + 50 + 28 + 28 + 50
= 184 cm
Hint: Perimeter of the figure. three side of rectangle + two sides of triangle
2.08539251 rational or not ?
Answer:
Yes it is rational.
Step-by-step explanation:
Answer:
Rational I think
Step-by-step explanation:
Rational means it can be expressed as a fraction
please help will mark as Brainliest
Answer: Choice D
f(n) = 4*(3)^(n-1)
f(5) = 324
=======================================================
Explanation:
Look at the y coordinates: {4, 12, 36, 108}
This is a geometric sequence with starting term a = 4 and common ratio r = 3. You start with 4 and multiply by 3 to generate each term
4*3 = 12
12*3 = 36
36*3 = 108
The nth term of the geometric sequence is
f(n) = a*(r)^(n-1)
f(n) = 4*(3)^(n-1)
Now plug in n = 5
f(n) = 4*(3)^(n-1)
f(5) = 4*(3)^(5-1)
f(5) = 4*(3)^(4)
f(5) = 4*81
f(5) = 324
Or you could multiply the last term in {3,12,36,108} by the common ratio 3 to get 108*3 = 324 as the fifth term.
Solve the Equation. You must show all your work. (3 pts. - 1 point for correct
answer. 2 points for correct work shown.
(You must show work for every step when you add subtract/multiply divide both
sides by a value).
i need help with this question. please help me.
Answer:
it cost $9.2972048
Step-by-step explanation:
Answer:
Coach brought 2 orders of fries to the table, and all three orders of fries cost him $6.