Answer:
[tex]\huge\boxed{\sf Agnes\ Score = 688\ points}[/tex]
Step-by-step explanation:
[tex]\sf = 20 \% \ of \ 860 \\\\= \frac{20}{100} * 860\\\\= 2 * 86\\\\= 172 \ points[/tex]
Since, Agnes scored 20 % fever than Amy.
So,
Agnes Score = Amy's Points - 20 % of Amy's Points
Agnes Score = 860 - 172
Agnes Score = 688 points
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807
PLEASE I NEED HELPP !!
Which situation leads to a unit cost of $8 per softball ticket?
A. $6 paid for 2 softball tickets
B. $6 paid for 6 softball tickets
C. 6 softball tickets for $24
D. 9 softball tickets for $72
Answer:
D 9 softball tickets for $72
Step-by-step explanation:
72/9=8
Answer:
The answer is D.
Step-by-step explanation:
You divide 72 by 9. Hope this helps!!! Please mark me brainliest and have a good rest of your day!!!
Write the first four terms of the sequence defined by the given rule: f(n)=n+4
Answer:
5, 6, 7, 8
Step-by-step explanation:
f(n) = n + 4
f(1) = 1 + 4 = 5
f(2) = 2 + 4 = 6
f(3) = 3 + 4 = 7
f(4) = 4 + 4 = 8
Given that for an arithmetic sequence, the first term is q and the second term is qz.
(a) Find the common difference d the general term Tn and the sum of the first n terms. Answer must
be in terms of q and z.
(b) Hence, find the sum of the first 10 terms in terms of q and z.
Answer:
[tex]d = q(z-1)[/tex]
[tex]S_n = \frac{nq}{2}(2 + (n-1)(z-1))[/tex]
[tex]S_{10} = 5q(9z -7)[/tex]
Step-by-step explanation:
Given
[tex]T_1 = q[/tex]
[tex]T_2 = qz[/tex]
Solving (a1): The common difference (d)
d is calculated as
[tex]d = T_2 - T_1[/tex]
This gives:
[tex]d = qz - q[/tex]
Factorize:
[tex]d = q(z-1)[/tex]
Solving (a2): Sum of n terms
This is calculated using:
[tex]S_n = \frac{n}{2}(2*T_1 + (n-1)d)[/tex]
Substitute values for T1 and d
[tex]S_n = \frac{n}{2}(2*q + (n-1)q(z-1))[/tex]
[tex]S_n = \frac{n}{2}(2q + q(n-1)(z-1))[/tex]
Factorize:
[tex]S_n = \frac{n}{2}(q(2 + (n-1)(z-1)))[/tex]
[tex]S_n = \frac{nq}{2}(2 + (n-1)(z-1))[/tex]
Solving (b): Sum of first 10.
In this case, n = 10
So:
[tex]S_n = \frac{nq}{2}(2 + (n-1)(z-1))[/tex]
becomes
[tex]S_{10} = \frac{10 * q}{2}(2 + (10-1)(z-1))[/tex]
[tex]S_{10} = 5 * q(2 + 9(z-1))[/tex]
[tex]S_{10} = 5q(2 + 9(z-1))[/tex]
[tex]S_{10} = 5q(2 + 9z-9)[/tex]
[tex]S_{10} = 5q(2 -9+ 9z)[/tex]
[tex]S_{10} = 5q(-7+ 9z)[/tex]
[tex]S_{10} = 5q(9z -7)[/tex]
Given that the first term and the second term of an arithmetic sequence is q and qz respectively, therefore:
a. Common difference (d) = [tex]\mathbf{d = q(z - 1)}[/tex]
Sum of the first n terms is: [tex]\mathbf{S_n = \frac{qn}{2}[2 + (n - 1)(z - 1)]}[/tex]
b. [tex]\mathbf{S_{10} = 5q(9z - 7)}[/tex]
Recall:
The common difference (d) of an arithmetic sequence = difference between the next term and the previous termSum of n terms, [tex]S_n[/tex] of arithmetic sequence = [tex]\frac{n}{2}[2a + (n - 1)d][/tex]Given:
First term, [tex]T_1 = q[/tex] (this is also "a")Second term, [tex]\\\\T_2 = qz[/tex]a. Common difference (d) = [tex]T_2 - T_1[/tex]
Substitute[tex]d = qz - q\\\\\mathbf{d = q(z - 1)}[/tex]
Sum of n terms:
[tex]T_n = \frac{n}{2}[2a + (n - 1)d][/tex]
Substitute by plugging in the value of d and a[tex]S_n = \frac{n}{2}[2(q) + (n - 1)q(z - 1)]\\\\S_n = \frac{n}{2}[2q + q(n - 1)(z - 1)]\\\\S_n = \frac{qn}{2}[2 + 1(n - 1)(z - 1)]\\\\\mathbf{S_n = \frac{qn}{2}[2 + (n - 1)(z - 1)]}[/tex]
b. Sum of the first 10 terms:
Substitute n = 10 into [tex]S_n = \frac{qn}{2}[2 + (n - 1)(z - 1)][/tex][tex]S_{10} = \frac{q(10)}{2}[2 + (10 - 1)(z - 1)][/tex]
Simplify[tex]S_{10} = 5q[2 + (9)(z - 1)]\\\\S_{10} = 5q(2 + 9z - 9)\\\\[/tex]
Add like terms[tex]\mathbf{S_{10} = 5q(9z - 7)}[/tex]
In summary, given that the first term and the second term of an arithmetic sequence is q and qz respectively, therefore:
a. Common difference (d) = [tex]\mathbf{d = q(z - 1)}[/tex]
Sum of the first n terms is: [tex]\mathbf{S_n = \frac{qn}{2}[2 + (n - 1)(z - 1)]}[/tex]
b. [tex]\mathbf{S_{10} = 5q(9z - 7)}[/tex]
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Each month a tax is deducted from lucy's earnings. Which best describes the tax that is deducted from her pay check
F sales tax
G payroll tax
H property tax
J not here
Answer:
h property tax
Step-by-step explanation:
write the equation of the line in standard form passing through (2,-4) with a slope of -7
Answer:
7x+Y=-2
Step-by-step explanation:
(y-y1)=m(x-x1)
(Y+4)=-7(x-2)
Y+4=-7x+2
Y+7x=2-4
7x+Y=-2
a package of 5 pairs of insulated socks cost $34.95. what is the unit price of the pair of socks?
Answer:$6.99
Step-by-step explanation:
DO
$34.95/5=6.99
Answer:
$6.99
Step-by-step explanation:
you have to divide the 2 numbers above
Need help ASAP!!
What slope would make the lines perpendicular?
Y=1/2x+8
Y=[?]x+2
Answer:
-2
Step-by-step explanation:
Gradient of perpendicular lines is -1
so divide -1 by ½
u get -2
Please help quick!!!
Answer:
Investigation 1
Step-by-step explanation:
Temperature change reveals a chemical reaction.
Write the equation of a line perpendicular to 5x - 7y =-6 that passes through the point (-5,6)
9514 1404 393
Answer:
7x +5y = -5
Step-by-step explanation:
You can find the perpendicular line by swapping the x- and y-coefficients, and negating one of them. The new constant can be found by using the given point.
7x +5y = 7(-5) +5(6) = -5
The perpendicular line through (-5, 6) is ...
7x +5y = -5
{−2x+7y=−7
−5x+14y=−7
Answer: x=7, y=2
Step-by-step explanation:
1. -2(-2x+7y=-7) -> 4x-14y=14
2. 4x-14y=14
-5x+14y=-7
3. -x = 7, x=7
4. -5(7)+14y=-7
5. -35+14y=-7
6. 14y=28, y=2
Answer: [tex]x=-7[/tex], [tex]y=-3[/tex]
Step-by-step explanation:
[tex]\left \{ {-2x+7y=-7} \atop {-5x+14y=-7} \right.[/tex]
multiply 2 at [tex]-2x+7y=-7[/tex]
[tex]-4x+14y=-14[/tex]
subtract [tex]-4x+14y=-14[/tex] and [tex]-5x+14y=-7[/tex]
[tex]x=-7[/tex]
put [tex]x=-7[/tex] at [tex]-2x+7y=-7[/tex]
[tex]7y=-21, y=-3[/tex]
write an equation in point slope form for the line that has a slope 1/3 and passes through (-2,8)
Answer:
y - 8 = 1/3 (x + 2)
Step-by-step explanation:
The equation y - 8 = 1/3 ( x + 2) has a slope form for the line that has a slope 1/3 and passes through (-2,8). The answer to the question is y - 8 = 1/3 (x + 2).
Hope this helps!
The equation of the line will be written as to y - 8 = 1/3 (x + 2).
What is an equation of the line?
An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that the line has a slope 1/3 and passes through (-2,8). The equation of the line will be,
y - y₁ = m(x - x₁)
y - 8) = (1/3)(x + 2 )
Therefore, the equation of the line is equal to y - 8 = 1/3 (x + 2).
To know more about an equation of the line follow
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Shannon is paid £1150 a month after deductions.
What is her net annual salary? (A year = 12 months)
Answer:
I think that answer is 13800
Step-by-step explanation:
Veronica's family is getting ready for
a huge go-kart race. They only brought
15 gallons of gasoline, though. If each
cart needs 2 and 1/3 gallons of gas, how many
go-karts can be filled for the race?
Answer:
6.5
Step-by-step explanation:
15gallons ÷ 2.3 gallons per car = 6.5 cars so filled would be 6
85% of a number is added to 24, the result is the same number find the number.
Answer:
160
Step-by-step explanation:
Solve for the roots: x3-2x2+3x-6
Answer:
x = 2, i[tex]\sqrt[]{3}[/tex], -i [tex]\sqrt{3}[/tex]
x^3 - 2x^2+ 3x - 6 = 0
Hint: Solve by grouping.
A bag contains 150 marbles. Some are blue, and the rest are white. There are 21 blue marbles for every 4 white marbles. . How many blue marbles are in the bag
Invalid data.
23. 6) Word Problem:
Bill makes $30.00 per day. He makes twice as much as Jack makes before
Jacks's salary was doubled. How much does Jack make now?
24. 7) A purchase of $0.73 is made by a customer. The customer hands you a $10.00 bill.
How much change should you give back?
25. 8) A customer buys 3 items at $0.25 each, 2 items at $0.55 each, and 1 other item for
$0.15. Assuming the tax rate on a dollar is 2%, how much will the total transaction be?
26. 9) How many nickels are there in a $2.00 roll?
Answer:
23.6) $30.00
24.7) $9.27
25.8) I'm not sure
26.9) 40 nickles
Step-by-step explanation:
Find the measure of angle J
Answer:
Step-by-step explanation:
Equals 23x
What is the scale factor and center of dilation?
Can you help with the 2 that are not correct?
Answer:
MPO=MNO
NPO=MNP
Step-by-step explanation:
MPO=MNO because MPO opposite angles of a parallelogram are congruent.
MNO is the top right angle of the parallelogram and so the opposite side of that is MPO or OPN whatever way you want to write it.
NPO=MNP because they are alternate interior angles. (If you don't understand what that means I can come back and explain it)
5+5 100 points please help I'm in 8th grade and my teacher wants me to answer this
d+g/h for d=35, g=19 and h=6
A. 9
B. 2.7
C. 7.3
D. 8
Answer:
PLZ MARK ME AS BRAINLIST
Step-by-step explanation:
THE CORRECT ANSWER IS 9...
HOPE IT HELPS...
DNDNDNDN
SNSNDNDN
SBSNDNXN D DXBNXF D XNXJXNXN
SNDNXNDBDNZJXNXDNSKSKDN
DNDNDN
NDNDSNSNSNSND
SNDNDNDN
I needs help, I’ll give brainliest !!
Answer:
(4,-5)
Step-by-step explanation:
#13 Easton is planning on buying a new pair of cowboy boots. When he
went to Eastern Outfitters last week they costs $60 on the black Friday
sale. This week, they aren't on sale anymore and they cost $85. What is the
percent of change on the boots? *
O 25%
O 45%
O 55%
75%
Which is the better buy?
3,805 pounds of cement for $266.35 or
5 tons of cement for $1,400.00
Answer:
3,805 pounds of cement for $266.35 is a better buy
Step-by-step explanation:
3,805 pounds of cement for $266.35
266.35 : 3,805= 0.07
check your work: 3,805 x 0.07 = 266.35
so for the first offer you will be paying $0.07 per pound
5 tons of cement for $1,400.00
1 ton = 2000 pounds
5 tons = 10000 pounds
1,400.00 : 10000 = 0.14
for the second offer you will be paying $0.14 per pound of cement. 3,805 pounds of cement for $266.35 is a better buy because you will be paying half of the price for each pound.
hope this helps!
Look at the subtraction expression below.
Which number line models this expression?
A.
B.
C.
D.
Answer:
A
Step-by-step explanation:
I took the quiz
Answer:
The Answer IS {A} just did the test!!
Step-by-step explanation:
if i have 1000 dollars and lose 1000 dollars how much do i have left 100 points
The mathematical answer would happen to be... 0
Answer:
0
Step-by-step explanation:
PLEASE HELP ASAP I WILL GIVE BRAILY AND 25 POINTS... write an expression equivalent to 4x + 12 using the distributive property
Answer:4x + 12 = 2 ( 2x + 6)
Step-by-step explanation:
How can you rewrite the problem so that the divisor is a whole number?
0.21 divided by 17.66
Answer: 21 divided by 1766
Step-by-step explanation:
just try to remove the decimal points which mean 0.21 to 21 and 17.66 to 1766
A box is formed by cutting squares from the corners of a rectangular piece of cardboard. The volume of the box is found by the equation V(h)=h(16-2h)(10-2h) where his a side of the square cutout. Which is the reasonable domain for this situation?
a. (0,5)
b. (0,10)
c. (0,8)
d. (0,infinity)
Answer:
A. (0, 5)
Step-by-step explanation:
Physically speaking, the volume of the box and the side of the square cutout are positive value. So that the following inequations must be satisfied:
[tex]h > 0[/tex] (1)
[tex]16-2\cdot h >0[/tex] (2)
[tex]10-2\cdot h > 0[/tex] (3)
From (1), (2), (3) we find that:
(1):
[tex]h > 0[/tex]
(2):
[tex]16 > 2\cdot h[/tex]
[tex]8 > h[/tex]
[tex]h < 8[/tex]
(3):
[tex]10 > 2\cdot h[/tex]
[tex]5 > h[/tex]
[tex]h < 5[/tex]
We see that equation above is the multiplication of a first grade monomial and two first grade binomials, which means that:
[tex]h > 0 \,\land\,h < 5\,\land\,h< 8[/tex]
[tex]0< h < 5[/tex]
In other words, the reasonable domain for this situation is A.
