Answer:
x = 13
Step-by-step explanation:
Corresponding angles equal one another.
[tex]8x-20=4x+32\\4x-20=32\\4x=52\\x=13[/tex]
1. (5 points) Suppose over the past 6 years, you have earn annual raises.
6
Three times your raise was 4%, twice you received only a 2% raise and one
you received a 10% raise. If your current salary is $85,000, what was your
salary before all of those raises?
9514 1404 393
Answer:
$66,027.66
Step-by-step explanation:
The multiplier for the salary with each raise is (1 + raise). That means the original salary is multiplied by ...
(1.04^3)×(1.02^2)×(1.10) = 1.28733935616 = k
Your original salary (O) satisfies ...
O×k = $85,000
O = $85,000/k ≈ $66,027.66 . . . original salary
Five students wrote a quiz with the maximum score of 50. The scores of four of the students are 42,43,46 and 49. The score of the fifth student was N. The mean of the five students' scores was the same as the median of the five students' scores . What is the possible values of N .
Answer:
45
Step-by-step explanation:
avg=42+43+46+49/4
avg=180/4
n=45
In a math class, the teacher asked the students to find the approximate value of one of the x-coordinates of a point of intersection of two functions: f(x) = 2x2 − 3x + 4 g(x) = 5x − 1 Her students gave her different answers. Which answer is the most accurate?
A.
0.8
B.
0.9
C.
1.9
D.
1.1
Answer:
A. 0.8Step-by-step explanation:
An easy way is to substitute values into both equations and compare:
A. x = 0.8
f(x) = 2(0.8)² - 3(0.8) + 4 = 2.88g(x) = 5(0.8) - 1 = 3B. x = 0.9
f(x) = 2(0.9)² - 3(0.9) + 4 = 2.92g(x) = 5(0.9) - 1 = 3.5C. x = 1.9
f(x) = 2(1.9)² - 3(1.9) + 4 = 5.52g(x) = 5(1.9) - 1 = 8.5D. x = 1.1
f(x) = 2(1.1)² - 3(1.1) + 4 = 3.12g(x) = 5(1.1) - 1 = 4.5As we see the most accurate one is A
Let's graph both function(Attached)
Let's round 0.775
[tex]\\ \sf\longmapsto 0.775[/tex]
[tex]\\ \sf\longmapsto 0.77[/tex]
[tex]\\ \sf\longmapsto 0.8[/tex]
Option A is correct
Fred needs 410 game markers to play with his classmates and their families math night. He has 96 red markers, 123 blue markers, 106 yellow markers, and 72 green markers. Does he have enough game markers to play the game?
Answer:
No
Step-by-step explanation:
the reason why i said nonis cause 96+123+106+72=397 which means he still needs 13 more
1.
Write the equation of the parabola in vertex form.
A. y = –(x – 1)2 + 3
B. y = –x2 – 4
C. y = –x2 + 3
D. y = –x2 + 4
[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{o pens~\cap}\qquad \stackrel{"a"~is~positive}{o pens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\begin{cases} h= 0\\ k = 4 \end{cases}\implies y=a(x-0)^2+4~\hfill \textit{we also know that} \begin{cases} x = 1\\ y = 3 \end{cases} \\\\\\ 3=a(1-0)^2+4\implies 3=1a+4\implies \boxed{-1=a} \\\\\\ y=-1(x-0)^2+4\implies \blacktriangleright y = -x^2+4\blacktriangleleft[/tex]
Answer:
A. y = –(x – 1)2 + 3 = Rewrite in vertex form and use this form to find the vertex (h,k). (1,3)= Already in vertex form. y=−(x−1)2+3
OR
D. y = –x^2 + 4 = Rewrite in vertex form and use this form to find the vertex (h,k). (0,4)= Find the vertex form. y=−(x+0)2+4
Step-by-step explanation:
A. y = –(x – 1)2 + 3 = Rewrite in vertex form and use this form to find the vertex (h,k). (1,3)= Already in vertex form. y=−(x−1)2+3
B. y = –x^2 – 4 = Rewrite in vertex form and use this form to find the vertex (h,k). (0,−4)= Find the vertex form. y=−(x+0)2−4
C. y = –x^2 + 3 = Rewrite in vertex form and use this form to find the vertex (h,k). (0,3)= Find the vertex form. y=−(x+0)2+3
D. y = –x^2 + 4 = Rewrite in vertex form and use this form to find the vertex (h,k). (0,4)= Find the vertex form. y=−(x+0)2+4
Complete the equation for the line shown in the graph. (-1,-2) (0,1) (1,4)
problem referred below
pls help
Answer:
B
7 less than 3 times a number (X) is (3x-7), and then the sum of these two numbers means we have (3x-7)+X, and then we know this equals 109, leaving us with:
(3x-7)+x = 109
Find the value of the expression 4a + 7 when a= 1/2.
plssss help quiiick
Answer:
The answer is 9
Step-by-step explanation:
1/2 of 4 is 2, so you plug that in
2+7=9
A local hamburger shop sold a combined total of 813 hamburgers and cheeseburgers on Saturday. There were 63 more cheeseburger sold than burgers. How many hamburgers were sold on Saturday?
9514 1404 393
Answer:
375 hamburgers
Step-by-step explanation:
Let h represent the number of hamburgers. Then h+63 is the number of cheeseburgers, and the combined total is ...
h +(h +63) = 813
2h = 813 -63 = 750
h = 750/2 = 375
375 hamburgers were sold on Saturday.
_____
Additional comment
In a "sum and difference" problem like this, the smaller number is half the difference between the sum and the difference. h = (813 -63)/2 = 375. This generic solution applies to all "sum and difference" problems.
What is the place value of 8 in 4.08?
20+ Points
Answer: The place value of 8 is in the hundredths. This would be called four and eight hundredths.
Would appreciate brainly <3
Hello there!
The value of 8 is:
Hundredths
The second number after the decimal point is in the hundredths place.
Hope it helps!
Please mark brainliest!
~Just a determined gal
[tex]MysteriousNature[/tex] here to help
A small publishing company is releasing a new book. The production costs will include a one-time fixed cost for editing and an additional cost for each book
printed. The total production cost C (in dollars) is given by the function C-550 +15.95N, where N is the number of books,
The total revenue earned (in dollars) from selling the books is given by the function R=31.90N.
Let P be the profit made (in dollars). Write an equation relating P to N. Simplify your answer as much as possible.
Please answer me ASAP I need an answer.
Answer:
P = 15.95N - 550Step-by-step explanation:
The profit is the difference between the revenue and the total cost:
P = R - CSubstitute values:
P = 31.90N - (550 + 15.95N)P = 31.90N - 15.95N - 550P = 15.95N - 550The difference between cost and revenue is profit
P=R-CP=31.90N-(15.95N+550)P=31.90N-15.95N-550P=15.95N-550Apply the distributive property to factor out the greatest common factor.
6+30=6+30
6 + 30
The greatest common factor is 6, so take it out. We get...
6 (1 + 5)
Let's verify it.
6 (1 + 5) = 6 + 30
6(6) = 6 + 30
36 = 36
LHS = RHS, Hence proved.
______
RainbowSalt2222 ☔
What is the common difference in the arithmetic sequence 13, 26, 39, 52, 65?
They all have a difference of 13.
So each time 13 is added to get the next number.
Factor this completely thank you
Answer:
4(2x raise to power 2-4-7x)
WILL GIVE BRAINLEST! HELP ME ASAP
These tables of ordered pairs represent some points on the graphs of lines s and t.
Which system of equations is represented by lines s and t?
5x−2y=−157x+4y=20
3x+5y=−185x−9y=25
x+4y=−89x−y=21
2x−y=−142x+y=6
Answer:
Step-by-step explanation:
Line s
slope m = Δy / Δx = (22 - 4) / (4 - (-5)) = 18/9 = 2
y = mx + b
22 = 2(4) + b
b = 14
y = 2x + 14
which can be rearranged to
2x - y = -14
Line t
slope = ( -4 - 14) / (5 - (-4)) = -18/9 = -2
-4 = (-2)(5) + b
b = 6
y = -2x + 6
2x + y = 6
2x − y = −14 2x + y = 6
!PLEASE ANSWER ASAP! THANK YOU!
Sarah’s school awarded 2000 raffle tickets as incentives. The principal will draw one winning ticket. The winner will receive an Ipad mini. Sarah received 4 tickets for good attendance, 5 for making the honor roll, and 10 for tutoring other students.
What is the probability that one of Sarah’s tickets will be selected by the principal? (write your answer as a %, once it is in % form round to the hundredths place)
Answer
400% Probability Of Sarah Getting Picked !
Step-by-step explanation:
So first 2000 x 19% = 380%
Select all ratios equivalent to 4:16.
3:12
6:48
5:4
Answer
Step-by-step explanation:
neither
brainlest
A forest covers 48,000 acres. A survey finds that 0.6% of the forest is old-growth trees. How many acres of old-growth trees are there?
Answer:
288
Step-by-step explanation:
48000*0.6/100=288
Answer:
[tex]0.06 * 48 000 = 2,880 acres[/tex]
Cheers :D
Elena has $84, and Priya has $12. How much money must Elena give to Priya so that Priya will have three times as much as Elena? Create an equation to represent the problem, and solve for how much Elena must give Priya. (Use x as your variable).
Step-by-step explanation:
$84 $12 use x as your variable then cross multiply and the answer u get is us variable
ill mark brainliest thanks
Answer:
first one
Step-by-step explanation:
write the domain and rang of h using interval notation
We can write the domain and range in interval notation, which uses values within brackets to describe a set of numbers. In interval notation, we use a square bracket [ when the set includes the endpoint and a parenthesis ( to indicate that the endpoint is either not included or the interval is unbounded.
the table shows the pricing for four different types of gasoline which type cost the least per gallon a $20.20 for 10 galb $26.04 for 12 gal c $28.14 for 14 gal d $30.45 for 15 gal
Answer:
A is the cheapest deal.
Step-by-step explanation:
find unit rate; cost / quantity
20.20 / 10 = $2.02 per gallon
26.04 / 12 = $2.17 per gallon
28.24 / 24 = $2.01 per gallon
30.45 / 25 = $2.03 per gallon
Find x.
Multiple choice.
8, 9, 10, 11
Answer:
Step-by-step explanation:
As RS is a straight line sin ∠RUT = sin ∠SUT
line UT bisects ∠RTS
Let θ be ∠UTR and ∠UTS
Law of sines
Left side triangle
3x/sinθ = 40/sinRUT
sinRUT = 40sinθ / 3x
Right side triangle
(x + 2) / sinθ = 16 / sinSUT
(x + 2) / sinθ = 16 / (40sinθ / 3x)
(x + 2)(40sinθ / 3x) = 16sinθ
(x + 2)(40sinθ) = 48xsinθ
40xsinθ + 80sinθ = 48xsinθ
40x + 80 = 48x
80 = 8x
x = 10
4. Sale of Mathematics and English books in the year 2005, 2006, 2007 and 2008 are given below : Years Mathematics English 2005 200 100 2006 300 250 2007 400 200 2008 500 500 Question 1. In which year is the difference in the sale minimum? (a) 2008 (b) 2007 (c) 2006 (d) 2005 Question 2.
Step-by-step explanation:
2008because there is no difference between the number of sold notebooks
if 4/3divided by 1/6 then the value of p is between which of the following pairs of numbers
3 and 4
5 and 6
6 and 7
7 and 9
Answer:
7 and 9
Step-by-step explanation:
4/3÷1/6 = 4/3 × 6/1
= 8
So the value of p falls between the range of 7 and 9
What’s 28.50 simplified
Answer:
28.5
Step-by-step explanation:
hope this helps
Answer:
57/2
Step-by-step explanation:
I don't understand the context of this.
A copy machine makes copies 32 per minute. How long does it take to make 168 copies
Answer:
5.25m
Step-by-step explanation:
32 papers will make in 1 minute
(168 copies/32copies)×1min = 5.25m
True or False.
A 20° angle and a 70° angle can be
composed into a 90° angle.
Ivy bought a bike for $67.82. The sales tax was $4.79. How much money did Ivy spend on the bike before taxes?
Answer: $63.03
Step-by-step explanation:
$67.82 - $4.79 = 63.03
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=23(0.292)^x
what is the % increase
Answer:
Decay
since 0.292 is less than 1
% rate of decrease
1 - 0.292 = 0.708
70.8%