Answer:
Step-by-step explanation:
y + 4 = -2(x - 5)
y + 4 = -2x + 10
y = -2x + 6
A high school football team scored 39 points in the game last night, with a combination of touchdowns (6 points each), extra points (1 point each), and field goals (3 points each).
The team make 1 more extra point than field goals, represented by the equation e=f+1, where e is the number of extra points and f is the number of field points scored.
They also scored five times as many points on touchdowns as field goals, represented by the equation 6t=15f, where t is the number of touchdowns and f is the number of field goals scored.
Write a system of equations representing this situation and use it to complete the statement.
The team scored __ touchdowns, __ extra points, and __ field goals.
Answer:
39=6t+3f+e
39=19f+1
5 touchdowns, 3 extra points, and 2 field goals.
Step-by-step explanation:
e=f+1
6t=15f
39= 6t +3f +e
^ ^ ^
39=(15f)+(3f)+(f+1) | e=f+1 | 6t=15f
39=19f+1 | e=2+1 | 6t=15(2)
38=19f | e=3 | 6t=30
f=2 | | t=5
Davaughn has 24 coins that are all dimes and quarters. The value of the coins is $3.75. How many dimes and how many quarters does Davaughn have?
Answer: 9 quarters and 5 dimes
Step-by-step explanation:
Between which two values on a number line is √ 39 located?
Answer:
The square root of 39 is approximately 6.245 so it lies between 6 and 7
Answer:
[tex]\sqrt{39}[/tex] is located between 6 and 7
Step-by-step explanation:
the square root of 39 is about 6.245. This number is located between the whole numbers 6 and 7.
6 x 6 = 38
39 is in the between
7 x 7 = 49
Please help with this question, thank you so much.
Show that x + y : x - y= 3 : 2
Answer:
x + y : x - y = (5/2+1/2) : (5/2-1/2)
x + y : x - y = 3 : 2
Therefore, x + y : x - y= 3 : 2 is proved.
Step-by-step explanation:
Given
x + y : x - y = 3 : 2
As
[tex]x + y = 3[/tex]
[tex]x - y = 2[/tex]
Solving to find x and y
[tex]\begin{bmatrix}x+y=3\\ x-y=2\end{bmatrix}[/tex]
[tex]x-y=2[/tex]
[tex]-[/tex]
[tex]\underline{x+y=3}[/tex]
[tex]-2y=-1[/tex]
[tex]\begin{bmatrix}x+y=3\\ -2y=-1\end{bmatrix}[/tex]
solve for y
[tex]-2y=-1[/tex]
Divide both sides by 2
[tex]\frac{-2y}{-2}=\frac{-1}{-2}[/tex]
[tex]y=\frac{1}{2}[/tex]
[tex]\mathrm{For\:}x+y=3\mathrm{\:plug\:in\:}y=\frac{1}{2}[/tex]
[tex]x+\frac{1}{2}=3[/tex]
[tex]x+\frac{1}{2}-\frac{1}{2}=3-\frac{1}{2}[/tex]
[tex]x=\frac{5}{2}[/tex]
so
[tex]x=\frac{5}{2},\:y=\frac{1}{2}[/tex]
Thus,
x + y : x - y = (5/2+1/2) : (5/2-1/2)
x + y : x - y = 3 : 2
Therefore, x + y : x - y= 3 : 2 is proved.
The seventh grade enrollment at Goddard, increased from 380 to 456 students. What is the percent of increase?
Answer:
20%
Step-by-step explanation:
Calculate percentage change
from V1 = 380 to V2 = 456
(V2−V1)|V1|×100
=(456−380)|380|×100
=76380×100
=0.2×100
=20%change
=20%increase
Need help. Forgot how to do this type
Answer:
AB=707
Step-by-step explanation:
Each year, Andrea donates a total of $800 for scholarships at her local community college. This year, she wants the amount she donates for liberal arts to be three
times the amount she donates for scholarships for business. Determine the amount she will donate for each type of scholarship.
The equation is Andrea will donate $ for business scholarships and $ for liberal arts scholarships.
Answer:
The equation is [tex]L + B = \$800[/tex]
Andrea will donate $200 for business scholarships and $600 for liberal arts scholarships.
Step-by-step explanation:
Given
Represent Liberal Arts with L and Business with B
From the question, we have that:
[tex]L = 3 * B[/tex]
and
[tex]Total = \$800[/tex]
Required
Determine how much she donates for each
The total L + B is 800
i.e.
[tex]L + B = \$800[/tex]
Substitute 3 * B for L
[tex]3 * B + B = \$800[/tex]
[tex]3 B + B = \$800[/tex]
[tex]4B = \$800[/tex]
Solve for B
[tex]B =\$800/4[/tex]
[tex]B =\$200[/tex]
Recall that :
[tex]L = 3 * B[/tex]
[tex]L = 3 * \$200[/tex]
[tex]L = \$600[/tex]
1. The ratio between the number of Anita's cousins and the number of Juan's
cousins is 5:8. If Anita has 15 cousins, how many does Juan have?
A) 5
B) 8
24
D) 40
Answer:
C) 24
Step-by-step explanation:
Set x equal to the number of cousins Juan has:
5/8 = 15/x
Cross-multiply: 5x = 15 × 8
5x = 120
x = 24
For f(x) = -4x+ 2. find f(x) when x = = -1.
A-2
B None of the other answers are correct
C 2
D 6
E -4
Mary was able to make 3 necklaces and 2 bracelets in 30 minutes. It takes her 5 minutes longer to make a necklace than a bracelet. How long does it take to make each necklace and each bracelet?
A. Bracelets take 3 minutes to make, and Necklaces take 8 minutes to make.
B. Bracelets take 8 minutes to make, and Necklaces take 3 minutes to make.
C. Bracelets take 15 minutes to make, and Necklaces take 20 minutes to make.
D. Bracelets take 20 minutes to make, and Necklaces take 15 minutes to make.
Answer:
A. Bracelets take 3 minutes, and necklaces take 8 minutes.
Step-by-step explanation:
If Mary made 3 necklaces at that rate, it would add up to 24 minutes. A bracelet takes 3 minutes to make, and she made 2, so that would take 6 minutes. Add 24 to 6 and you'll get 30 minutes. I hope this helped :^)
Answer:
23 56
Step-by-step explanation:
yt
Charlie is planning a trip to Madrid. He starts with $984.20 in his savings account and uses $381.80 to buy his plane ticket. Then, he transfers
1
4
of his remaining savings into his checking account so that he has some spending money for his trip. How much money is left in Charlie's savings account?
Answer:
$24.09
Step-by-step explanation:
you do 984.20-381.80=602.4
then divide 602.4 by 1/4
which 1/4=25.
then you get $24.09
Answer:
Step-by-step explanation:
984.20-381.80= 602.40
602.40 left in savings.
602.40*1/4= 150.60 transfer to checking account.
602.40-150.60= 451.80 left in the savings account.
7y + 8y can be simplified to 15y true or false
Answer:
True
Step-by-step explanation:
7y and 8y are like terms, so you can add them together
True.
How? By combining like terms.
7y + 8y = what?
We keep the variable y and simply add the numbers.
7 + 8 = 15
We now include y in our answer.
So, 7y + 8y = 15y.
what is the measure of <x
Answer:
X=17
Step-by-step explanation:
73+x=90 90-73=17
I bought 24 donuts for 44dhs how much does each donuts cost?? 24 divided by 44 =
Answer:
54 cents
Step-by-step explanation:
The best way to solve this is by writing this as a fraction...
24/44
Next, we should divide both sides by their GCF (Greatest Common Factor) Which in this case is 4.
Now, our fraction is...
6/11
So, our final answer is 6/11 or 0.54 repeating or 54 cents
Hope this Helps!!! :)
Let me know in the comment section if I should change anything or if this answer was perfect!!!
Solve the system by Elimination.
7x+9y=30
3x−6y=3
(3, 1)
(3, 5)
(3, -1)
(-3, 5)
please hurry need it now
The normal to the curve y =root x, at the point where x=1 and x=4 meet at P, find the coordinates of P.
The curve is y = sqrt{x}.
Replace x in the curve with 1 and then with 4 to find your point.
y = sqrt{1}
y = 1
First point (1, 1).
y = sqrt{4}
y = 2
Second point (4, 2).
Take it from here.
What is the percent increase when 7,200 increases by 1,800?
A. 20 percent
B. 25 percent
C. 54 percent
D. 80 percent
Answer:
B.
Step-by-step explanation:
The percent increase when 7200 increases by 1800 is 25 %
Stephan borrowed $125 to buy an electric scooter. The function f(x) = 125 minus 12.5x can be used to represent the amount of money Stephan owes on the loan, where x is the number of weeks that Stephan pays towards the loan.
Answer:
Stephan adds $12.50 per week to the amount he owes on the loan and will pay back the loan in 125 weeks.
Step-by-step explanation:
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As an estimation we are told 5 miles is 8 km.
Convert 42.5 miles to km.
Answer:
Step-by-step explanation:
5 miles = 8km
42.5 miles = 42.5 x 8 = 340 km
What is the range of this relation?
5
4
3
2
o
1
х
-5
-4
-3
-2
1
2
3
4
5
-1 0
-1
-2
-3
-4
5
Answer:
the answer is in the picture below
Step-by-step explanation:
if f(x)=4^x+4, then calculate f(0)
ok so F (0) should be equaled to = 0
Answer:
f(0) = 5
Step-by-step explanation:
Note that [tex]a^{0}[/tex] = 4
To calculate f(0), substitute x = 0 into f(x), that is
f(0) = [tex]4^{0}[/tex] + 4 = 1 + 4 = 5
what is the equation of the line in slope intercept form
Answer:
y=2/7x+-9
Step-by-step explanation:
I need to go soon
Answer:
y=2/7x-9
Step-by-step explanation:
Goes to the right by 7 units, and goes up by two so 2/7. Line intercepts at -9.
Find the equation of the circle passes the following three
points?
a) (1,0) (0,1) and (2, 2)
Answer:
2.2
Step-by-step explanation:
the equation was not the only way that could change in a single year of growth
we have:(x, y1)=(1,0)
(x2,y2)=(0,1)
then the equation of circle is
(x-1)(x-x2)+(y-y1)(y-y2)=0
=(x-1)(x-0)+(y-0)(y-1)=0
=x2-x+y2-y=0
=x2++y2-x-y=0.
Hence this is the answer.
help please I don’t know what’s part B :( I’ll give you brainilist !!!!
Answer:
(x,y)——>(-8x, 5y)
Step-by-step explanation:
There were 548 films released in 2011. Of these, approximately
8.75% were rated PG (parental guidance suggested). How many PG
movies were released in 2011? Round to the nearest whole number.
Answer:
make me brainlist pls here try this answer tho 4,795
Step-by-step explanation:
A bag contains 5 red balls and 3 blue balls. A ball is picked at random from the bag and not replaced. Another ball is then picked at random.
What is the probability that the balls will be the same colour?
Answer:
13/28Step-by-step explanation:
Given
5 red ball3 blue ball8 total balls
p(r and r) = 5/8*4/7 = 5/14p(b and b) = 3/8*2/7= 3/28Added up
5/14 + 3/28 = 10/28 + 3/28 = 13/28Probability of 2 same colored balls is 13/28
Peter buys 12 bunches of bananas for $9.00. Use a ratio table to determine how much Peter will pay for 8 bunches.
Write an equation in slope-intercept form for the line with slope 6 and y-intercept -8 .
Answer:
y=6x-4
Step-by-step explanation:
The equation of line in the slope intercept form is y = 6x - 8 , where the slope of the line is m = 6
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the slope of the line m = 6
Let the y intercept of the line be = -8
Now , equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
Substituting the values in the equation , we get
y = 6x - 8 be equation (1)
Hence , the equation of line is y = 6x - 8
To learn more about equation of line click :
https://brainly.com/question/14200719
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m/9 - 9 = -8. please help