Answer:
250,000
Step-by-step explanation:
the equation of this arithmetic sequence is 1 + 2n
1 + 2n = 999
2n = 998
n = 499
[tex]\mathrm{\sum _{n=0}^{499}1+2n}[/tex] = 250,000
Han earns $33.00 for babysitting 4 hours. At this rate, how much will he earn if he
babysits for 7 hours. You may solve with any method but you must show your work.
Step-by-step explanation:
First, you want to find the unit rate, or how much Han earns per hour
You can do this by setting up an equation
x= amount earned per hour
4x= 33 Initial equation
4x/4 = 33/4 Isolating the variable
x = 33/4 = 8 1/4 = 8.25 The unit rate
Now you want to set up a new equation to find out how much he makes for 7 hours
x= amount earned per hour
y = total amount earned
y = 7x Initial equation
y = 7 ( 8.25) Substitution
y = 57.75 The answer
Han earns $57.75 for every 7 hours
Checking the answer....
y = 7x
57.75 = 7x Substitute y instead
57.75/7 = 7x/7
8.25 = x
Your answer should be correct
Hope this helps!!!
Select the correct description of the graph of the inequality: I > 3.5
Answer:
gfygou
Step-by-step explanation:
A group of 16 adults and 25 children go to a show.
The total cost of tickets was £315.40.
A child's ticket cost £6.60.
Find the cost of a ticket for an adult.
5.1
9xy – 12xy + 18y
Answer:
-3xy + 18y
Explanation:
9xy−12xy+18y
=9xy+−12xy+18y
Combine Like Terms:
=9xy+−12xy+18y
=(9xy+−12xy)+(18y)
=−3xy+18y
Answer:
=−3xy + 18y
Answer:
-3xy + 18y
Step-by-step explanation:
what is the ratio of girl to boys if boys is 15 and girls is 45
Answer:
3:1
Step-by-step explanation:
boys: girls
15 45
We want girls to boys
girls: boys
45 : 15
Divide each side by 15
45/15 : 15/15
3 :1
We will begin with a golf ball with a diameter of 5 cm and a piece of paper that is 15 x 25 cm. Here is a
diagram showing the dimensions of each part of the box,
5 cm
5 cm!
15 cm
15 cm
25 cm
Based on the following labelled net diagram, answer the following questions:
1. What is the maximum number of balls that will fit in the box? Explain how you know.
Answer:
Each ball has a diameter of 5 cm, The box is 15 cm by 25 cm, therefore, there will be three columns and five rows of balls. 3 multiplied by 5 is 15, so the maximum number of balls that will fit in the box is 15 balls
Factor the GCF: 9x^4 - 6x^3y^2 + 3x^2y^3.
A. 3x^2y(3x^2 - 2xy + y^2)
B. 3xy(3x^2 - 2xy + y^2)
C. 3xy^2(3x^2 - 2xy + y^2)
D. 3x^2y(3x^2 + 2xy + y^2
PLEASE HELP ME
Answer:
3x2y(3x2−2xy+y2) So C
Step-by-step explanation:
i need someone to solve for x and show how plzz
Answer:
Step-by-step explanation:
The two angles would equal 180°.
(7x - 5) + (5x + 19) = 180
Combine like terms.
12x + 14 = 180
Simplify by isolating the variable
12x + 14 = 180
------ -14 ----------
12x = 166
Divide both sides by 12
x = 13.833
To nearest tenth, 13.8
Together, Ashley and Gabby watched a total of 14 hours of television over the weekend. Ashley watched 6 times as many hours as Gabby. How many hours of television did they each watch over the weekend? Write and solve a system of equations by using the substitution method. Be sure to define your variables.
Answer:
The number of times over the Weekend that:
Ashley watched TV = x = 12 hours
Gabby watched TV = y = 6 hours
Step-by-step explanation:
Let us represent:
The number of times
Ashley watched TV = x
Gabby watched TV = y
Together, Ashley and Gabby watched a total of 14 hours of television over the weekend.
= x + y = 14..... Equation 1
x = 14 - y
Ashley watched 6 times as many hours as Gabby.
x = 6y
Using substitution method
We substitute 14 - y for x
14 - y = 6y
14 = 6y + y
14 = 7y
y = 14/7
y = 2 hours
Solving for x
x = 14 - y
x = 14 - 2
x = 12 hours
Therefore:
The number of times over the Weekend that:
Ashley watched TV = x = 12 hours
Gabby watched TV = y = 6 hours
Mr. Harris has batteries for his calculators. If b represents the number of batteries and c represents his calculators, how many
batteries does Mr. Harris have?
b= 4c
3c = -2b + 44
A 4 batteries
B 7 batteries
13 batteries
16 batteries
2. A square tent has a side with a length of
4x2yzd feet. What is its area?
Answer:
6
Step-by-step explanation:
An airplane is flying from New York City to Los Angeles. The distance it travels in miles, d, is related to the time in seconds, t, by the equation d=0.15. How fast is it flying? Do not include units
Answer:
0.15
Step-by-step explanation:
Given the expression that relates the distance and the time with the expression:
d = 0.15t
d is the distance
t is the time
To determine how fast it is flying (Speed), we will need to use the formula
Speed = distance/time
s = d/t
From the given equation we can se that 0.15 = d/t
Comparing this to the general equation, we will see that s = 0.15
Hence the airplane is flying at 0.15
Generate an equivalent expression using prime factorization for each number.
24
a)2x2x6
b)2x4x3
c)2x2x2x3
Answer:
c
Step-by-step explanation:
'c' is the only answer where all numbers are prime -- in 'a', 6 is not prime
and in 'b', 4 is not prime
Howie works at a petting zoo. He fed a piglet 1/5 of a bottle of milk then gave 3/4 of what was left to the calf. How much of the bottle of milk did the calf drink
Answer:
[tex]\frac{3}{5}[/tex]th part of the bottle will be drunk by the calf.
Step-by-step explanation:
Part of the bottle fed by the piglet = [tex]\frac{1}{5}[/tex]
Milk left in the bottle = 1 - [tex]\frac{1}{5}[/tex]
= [tex]\frac{5-1}{5}[/tex]
= [tex]\frac{4}{5}[/tex]
Milk drunk by the calf = [tex]\frac{3}{4}[/tex]th of the left part
= [tex]\frac{3}{4}\times \frac{4}{5}[/tex]
= [tex]\frac{3}{5}[/tex]th part of the bottle
Therefore, [tex]\frac{3}{5}[/tex]th part of the bottle will be drunk by the calf.
A committee must be formed with 4 teachers and 5 students. If there are 7 teachers to choose from, and 15 students, how many different ways could the committee be made?
Answer:
Step-by-step explanation:
There are a total of 10 persons (6 teachers + 4 students) from which a committee of 5 is to be formed. This can be done in 10C5 ways.
The number of ways that a committee can be formed with no students in it is to select 5 teachers out of the pool of 6 teachers available. This can be done in 6C5 ways.
Therefore the total number of ways that the committee can be formed with at least one student in it is 10C5 - 6C5.
10C5 = 252
6C5 = 6
Therefore the required number of ways = 246
The vertices of JKL are J(–2, 3), K(1, 6), and L(5, –1). Which type of triangle best describes JKL
Answer:
Acute triangle
Step-by-step explanation:
Use the Zero Product Property to find the x-intercepts for y=3x2−7x+4
Answer:
x = [tex]\frac{4}{3}[/tex], x = 1
Step-by-step explanation:
To find the x- intercepts, let y = 0 , that is
3x² - 7x + 4 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × 4 = 12 and sum = - 7
The factors are - 3 and - 4
Use these factors to split the x- term
3x² - 3x - 4x + 4 = 0 ( factor the first/second and third/fourth terms )
3x(x - 1) - 4(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(3x - 4) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
3x - 4 = 0 ⇒ 3x = 4 ⇒ x = [tex]\frac{4}{3}[/tex]
x- intercepts are x = [tex]\frac{4}{3}[/tex] , x = 1
([tex]\frac{4}{3}[/tex], 0 ), (1, 0 ) ← in coordinate form
Please help!!:
What is the length of DE in the image provided? (Please explain so I can understand in the future)
A. DE=4
B. DE=5
C. DE=6
D. DE=7
==========================================================
Explanation:
We have these three facts:
The arc markings on angles C and D indicate those angles are congruent. We can say that angle ACB = angle EDB.Another pair of congruent angles are angle ABC and angle EBD. These are vertical angles. Lastly, we have a pair of congruent sides AB and BE because of the tickmarks.Those three facts allow us to use the AAS (angle angle side) congruence theorem to prove that triangle ABC is congruent to triangle EBD.
Then by CPCTC (corresponding parts of congruent triangles are congruent), we know that AC = DE. Note how 'A' and 'C' are the first and last letters of ABC; similarly, 'E' and 'D' are the first and last letters of EBD. Segment ED is the same as segment DE.
So to find the length of DE, we need to find the length of AC. To do that, we need the value of x.
----------------
Recall earlier that AB = BE. Use this to find x
AB = BE
1.5x = 3x-6
1.5x-3x = -6
-1.5x = -6
x = -6/(-1.5)
x = 4
Now we can find the length of AC
AC = x+3
AC = 4+3
AC = 7
This must mean DE = 7 as well.
Answer:
DE=7
Step-by-step explanation:
I just took test
Also please make me Brainliest
Look at the diagram.
Which of the following is NOT true?
The answer choices are in the picture below.
Also, it would really help me if you would give a brief explanation to why the answer you chose is correct.
Answer:
Option G
Step-by-step explanation:
Option F
m∠1 + 121 = 180 [Sum of linear angles = 180°]
True.
Option G
121 + m∠2 + 33 = 180
False. Because 121° is not an interior angle of the given triangle.
Option H
33 + m∠1 = 92
True.
Measure of exterior angle of a triangle is equal to the sum of he measure of the non adjacent interior angles.
Option J
121 + 92 + m∠3 = 360°
True.
Sum of the exterior angles of triangle is 180°.
A sporting goods store brought in some new mountain bikes that cost $1,200 each and kayaks that cost $800 each. A total of 32 of these items were acquired , for $30,400 . How many new mountain bikes did the store bring in ? ASAP HELP!
Answer:
12 mountain bikes
Step-by-step explanation:
1200m+800k=30400
m+k=32
k=32-m
Now solving with substitution we get:
1200m+800(32-m)=30400
1200m+25600-800m=30400
400m=4800
m=12
Pls help me its due by 11:59
Please help! I will give brainliest :)
Solve:
5xb+x-23+5.6
Answer:
Add
− 23 and 5.6
5x b + x − 17.4
Step-by-step explanation: plz brainliest
kara opened a savings account with $8,000. she makes no changes to this account after 2 years. her account has a compound interest rate of 6% per year, compound annually. what will be the total amount in the account at the end of two years?
Answer:628384729
Step-by-step explanation:
One two three
Please help with this math!
Answer: D and B
Step-by-step explanation:
Please help me again lol
Answer:
114 degrees
Step-by-step explanation:
a line equals 180 degrees, so you subtract 66 from 180
Answer:
∠TYK=114°
Step-by-step explanation:
Angles TYK and KYB are supplementary, meaning they add up to a total of 180°:
[tex]66+x=180\\\\66-66+x=180-66\\\\x=114[/tex]
∠TYK=114°
:Done
Jimmy is writing a paper for one of his classes. The paper has to be 3,000 words long, and so far he has written 828 words. If he only has 6 more days to write his paper and wants to write the same number of words each day, then how many words must he write per day to finish the paper? A. 398 B. 362 C. 862 D. 2,172
Answer:
it's hard man sorry !
Step-by-step explanation:
What is the solution to the inequality?
17<9 + x
O A. x> 26
O B. X>8
O c. x<8
O D. x< 26
[tex] 17 - 9 > x \\ 8 > x \\ x < 8 \\ = = c \: [/tex]
what is the slop of the graph?
This is due today please help will give brainliest
Answer:
what is it?
Step-by-step explanation:
find the slope of the lines
Answer:
m=3/2
Step-by-step explanation: