Answer:
8 miles
Step-by-step explanation:
Write a system of inequalities to match the graph and prove that the coordinate point (-10, -14) is in the solution set
Answer:
y < x - 2
y ≥ 2x + 5
Step-by-step explanation:
For the equation of the dotted line,
Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Since the dotted lines passes through the points (-7, -9) and (2, 0)
Slope = [tex]\frac{-9-0}{-7-2}[/tex]
[tex]m_1[/tex] = 1
Therefore, equation of the line passing through (2, 0) and slope = 1 will be,
y - y' = m₁(x - x')
y - 0 = 1(x - 2)
y = x - 2
Since, shaded area is below the dotted line,
y < x - 2 will be the inequality.
Slope of the solid line passing through (-7, -9) and (0, 5) is,
[tex]m_2=\frac{-9-5}{-7-0}[/tex]
= 2
Therefore, equation of the line passing through (0, 5) and slope = 2 will be,
y - 5 = 2(x - 0)
y = 2x + 5
Since, the given line is a solid line and shaded area is above the line,
y ≥ 2x + 5 will be the inequality.
Since, (-10, -14) is lying in the common shaded area of both the inequalities, it will be the solution set of the graphed inequalities.
Suppose PR = 54, solve for QR
4x-1
3x-1
P
R
Answer:
[tex] QR = 23 [/tex]
Step-by-step explanation:
P, A, and R are collinear.
PR = 54
[tex] PQ = 4x - 1 [/tex]
[tex] QR = 3x - 1 [/tex]
To solve for the numerical length of PR, let's generate an equation to find the value of x.
According to the segment addition postulate:
[tex] PQ + QR = PR [/tex]
[tex] (4x - 1) + (3x - 1) = 54 [/tex] (substitution)
Solve for x
[tex] 4x - 1 + 3x - 1 = 54 [/tex]
Combine like terms
[tex] 4x + 3x - 1 - 1 = 54 [/tex]
[tex] 7x - 2 = 54 [/tex]
Add 2 to both sides
[tex] 7x - 2 + 2 = 54 + 2 [/tex]
[tex] 7x = 56 [/tex]
Divide both sides by 7
[tex] \frac{7x}{7} = \frac{56}{7} [/tex]
[tex] x = 8 [/tex]
[tex] QR = 3x - 1 [/tex]
Plug in the value of x into the equation
[tex] QR = 3(8) - 1 = 24 - 1 [/tex]
[tex] QR = 23 [/tex]
• She used a coupon for $3.00 off the total price of the items she
This expression can be used to determine the price of the items Nakit
(2(3.50 -0.80) + 4.85 + 2.40) – 3.00
What is the price of the items Nakita bought?
A $6.95
B $10.45
C $9.65
D $12.65
how to combine two integers
The simplest approach to do this is:
Convert both numbers to string
Concatenate both strings into one, as this is comparatively easy
Convert this concatenated string back to integer
Step-by-step explanation:
Given two integers n1 and n2, the task is to concatenate these two integers into one integer.
Example:
Input: n1 = 12, n2 = 34
Output: 1234
Input: n1 = 1, n2 = 93
Output: 193
Last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance. She spends StartFraction 1 Over 15 EndFractionof her paycheck on dinner with friends. If she had not earned the bonus, the amount she spent on dinner would have been StartFraction 1 Over 10 EndFraction of her paycheck. Which equation can be used to find h, the number of hours Lindsay worked last week? StartFraction 1 Over 15 EndFraction left-parenthesis 10 h plus 60 right-parenthesis equals StartFraction 1 Over 10 Endfraction left-parenthesis 10 h right-parenthesis(10h + 60) = StartFraction 1 Over 10 EndFraction(10h) StartFraction 1 Over 15 EndFraction(10h + 60h) = StartFraction 1 Over 15 EndFraction left-parenthesis 10 h plus 60 h right-parenthesis equals StartFraction 1 Over 10 Endfraction left-parenthesis 10 h right-parenthesis(10h) StartFraction 1 Over 15 EndFractionh(10 + 60) = StartFraction 1 Over 15 EndFraction h left-parenthesis 10 plus 60 right-parenthesis equals StartFraction 1 Over 10 Endfraction h left-parenthesis 10 right-parenthesish(10) StartFraction 1 Over 15 EndFraction left-parenthesis 10 plus 60 h right-parenthesis equals StartFraction 1 Over 10 Endfraction left-parenthesis 10 h right-parenthesis(10 + 60h) = StartFraction 1 Over 10 EndFraction(10h)
Answer:
StartFraction 1 Over 15 EndFraction left-parenthesis 10 h plus 60 right-parenthesis equals StartFraction 1 Over 10 Endfraction left-parenthesis 10 h right-parenthesis
Step-by-step explanation:
The desired equation equates 1/15 of the amount Lindsay earned with 1/10 the amount without the bonus:
StartFraction 1 Over 15 EndFraction left-parenthesis 10 h plus 60 right-parenthesis equals StartFraction 1 Over 10 Endfraction left-parenthesis 10 h right-parenthesis
_____
Comment on the form of the answer
If you don't like answers in this form, please do not post questions in this form. Ordinary math symbols are much appreciated.
Answer:
A
Step-by-step explanation:
edge 23
Look at the table showing different prices for oranges.
Prices for Oranges
Price A
Price B
Price C
$2.25 for 6
$1.30 for 4
$0.97 for 2
Which gives the prices in order, from least to greatest unit rate?
Price B, Price A, Price C
Price C, Price B, Price A
Price C, Price A, Price B
Price B, Price C, Price A
nswer:
1st Option is correct that is Price B , Price A , Price C
Step-by-step explanation:
0.33 < 038 < 0.49 ⇒ Price B < Price A < Price C
Approximately, it's going least to greatest
2.25/6=0.33
1.30/4= 0.38
0.97/2 = 0.49 ALL ROUNDED
Answer:
its the first one
Step-by-step explanation:
hope that helps
Given that the 3rd term in an arithmetic sequence is -2 and the 7th term is -10, tell me what the 1st term in the sequence is. Explain how you know.
Answer:
2
Step-by-step explanation:
a₃ = -2
a₇ = -10
The nth term of an arithmetic sequence is:
a = a₁ + d (n − 1)
Therefore:
-2 = a₁ + d (3 − 1) = a₁ + 2d
-10 = a₁ + d (7 − 1) = a₁ + 6d
Subtract the equations:
8 = -4d
d = -2
Plug into either equation to find the first term.
-2 = a₁ + 2(-2)
a₁ = 2
For which values of a the system has at least one solution: 1.x≤7 ,x≥a
Given:
The system of inequalities
[tex]x\leq 7[/tex]
[tex]x\geq a[/tex]
To find:
The values of a for which the system has at least one solution.
Solution:
We have,
[tex]x\leq 7[/tex] ...(i)
It means all real values of x which are less than or equal to 0.
[tex]x\geq a[/tex] ...(ii)
It means all real values of x which are greater than or equal to a.
Using (i) and (ii), we get
[tex]a\leq x\leq 7[/tex]
The value of x is lies in the interval [a,7].
It means, if the value of a is less than or equal to 7, then system has at least one solution.
But if a is more than 7, then the system of inequalities have to solution.
Therefore, the value of a must be less than or equal to 7.
Can somebody help and crAck the code this is 100 points if you get it right your are gonna be the brainliest
Answer:
RECORD TIME
Step-by-step explanation:
RECORD TIME
Answer:
record time
Step-by-step explanation:
░░░░░░░░███████████████░░░░░░░░
░░░░░█████████████████████░░░░░
░░░░████████████████████████░░░
░░░██████████████████████████░░
░░█████████████████████████████
░░███████████▀░░░░░░░░░████████
░░███████████░░░░░░░░░░░░░░░███
░████████████░░░░░░░░░░░░░░░░██
░█░░███████░░░░░░░░░░░▄▄░░░░░██
█░░░░█████░░░░░░▄███████░░██░░█
█░░█░░░███░░░░░██▀▀░░░░░░░░██░█
█░░░█░░░░░░░░░░░░▄██▄░░░░░░░███
█░░▄█░░░░░░░░░░░░░░░░░░█▀▀█▄░██
█░░░░░░░░░░░░░░░░░░░░░░█░░░░██░
░███░░░░░░░░░░░░░░░░░░░█░░░░█░░
░░█░█░░░░░░░█░░░░░██▀▄░▄██░░░█░
░░█░█░░░░░░█░░░░░░░░░░░░░░░░░█░
░░░██░░░░░░█░░░░▄▄▄▄▄▄░░░░░░█░░
░░░██░░░░░░░█░░█▄▄▄▄░▀▀██░░█░░░
░░░██░░░░░░░█░░▀████████░░█░░░░
░░█░░█░░░░░░░█░░▀▄▄▄▄██░░█░░░░░
░░█░░░█░░░░░░░█░░░░░░░░░█░░░░░░
░█░░░░░█░░░░░░░░░░░░░░░░█░░░░░░
░░░░░░░░█░░░░░░█░░░░░░░░█░░░░░░
░░░░░░░░░░░░░░░░████████░░░░░░░
Find the surface area of a square pyramid if the area of the base is 324 cm^2 and the height is 40 cm.
Answer:
Step-by-step explanation:
Yep!
An unbiased sample is one in which every member of the group has an equal chance of being chosen.
True
False
tristan bought an orange that weighs 1 8th of a pound
which systems of equations have no Solutions
Answer:
Inconsistent System of Equations
Explanation:
There is no solution for the system of equations that graphs as parallel lines.
Parallel lines never cross, therefore there is no intersection. This is an inconsistent system of equations.
Please help!!!!!!!!!!!!!
Answer:
r=8
Step-by-step explanation:
r*4=32
32/4=8
Therefore, r=8
Answer:
r = 8
Step-by-step explanation:
Ok don't worry. This question is not as hard as it should be.
It states it's a balanced equation. So that means 32 is equal to the other side.
there are 4 r's on the other side
32=4r
Divide 4 on both sides so the variable is independent
32/4=4r/4
8=r
Hope this helps!
On a test, Avery lost 5
points for each of the 6
questions she got wrong
but earned 10 points for
answering the bonus
question correctly. What
integer represents her
score in relation to a
perfect score of 100?
Answer:
bruhhhhhhhhhhhhhhhhhhhhhhhhhh
60 divided (6 1/7 - 1/7) x 4
34=9r-11
help plzzzzzzzzzzzzz hurry
Answer:
5
Step-by-step explanation:
Swap sides so that all variable terms are on the left hand side.
9r−11=34
Add 11 to both sides.
9r=34+11
Add 34 and 11 to get 45.
9r=45
Divide both sides by 9.
r= 45/9
Divide 45 by 9 to get 5.
r=5
PLEASEPLEASEHELP i need
Answer:
B
Step-by-step explanation:
hope you get the best grade
find the value of each variable. write your answers in simplest radical form
Answer:
y=3.364
x=4
Step-by-step explanation:
hope this helps
odds against a randomly chosen household having a cat if the probability of the event that a randomly chosen household has a cat is .21
Step-by-step explanation:
Odds against = failures / successes
Probability = successes / (successes + failures)
0.21 = cats / (cats + no cats)
1 / 0.21 = (cats + no cats) / cats
4.76 = 1 + (no cats / cats)
3.76 = no cats / cats
So the odds against are 3.76 to 1.
Answer these questions please
Step-by-step explanation:
hope This helps for you
Answer:
Step-by-step explanation:
Common factors are the number's , variables found in each of the terms
1) 21x²y = 3 * 7 * x * x * y
35xy² = 5 * 7 * x * y * y
Common factor = 7 * x * y
= 7xy
Answer :(iii) 7xy
2)a² - b² = (a + b)(a - b)
1 - x² = (1 - x) (1 +x)
(ii)
3) x³ - x = x(x² - 1)
= x(x + 1)(x - 1)
Answer: (iv)
4) 225 = 15 * 15 = 15²
x³ - 225x = x(x² - 225)
= x(x² - 15²) {a² - b² =(a + b)(a - b)}
= x(x + 15)(x - 15)
Answer: (ii)
5) 12a²b = 3 * 4 * a * a * b
15ab² = 3 * 5 * a * b * b
Common factor = 3 * a * b = 3ab
12a²b + 15ab² = 3*4*a²*b + 3*5*a*b²
= 3ab (4a + 5b)
Answer:(ii)
Order the numbers from least to greatest.
1.3 ,-2, 1.8 , 0, -1.75
Answer:
-2 , -1.75 , 0 ,1.3 , 1.8Step-by-step explanation:
[tex]1.3 ,\:-2,\: 1.8 , \:0,\: -1.75[/tex] =
[tex]-2 , -1.75 \:, 0\: ,1.3 \:, 1.8[/tex]
A negative number is a always smaller than a positive number.
The smallest negative number among the given set of data is ; -2.
The largest positive number is 1.8
Arturo’s gym membership costs $100 per year plus $20 per month. Which equation represents this relationship?
Answer:
$100+$20=$120
Determine the largest integer value of x in the solution of the following inequality. -3x +1> 7
Answer:
x<1/3
Step-by-step explanation:
Convert 2.42 to percent
Answer:
242%
Step-by-step explanation:
Answer:
242%
Step-by-step explanation:
Whole numbers are a 100% each, so there's 200%. Tenths are 10% every tenth, so 40%, and hundredths are 1% every hundredth, so 2%.
200+40+2=242%
If it was helpful, could you plz consider giving me brainliest?
what is 360 x 4500 plsssssssssssssssss help
Answer:
1,620,000
Step-by-step explanation:
360×4500
=1,620,000
is the answer
Hey there!
[tex]Answer:\boxed{1,620,000}[/tex]
[tex]Explanation:[/tex]
[tex]360*4500[/tex]
Let's multiply to get our answer.
[tex]360*4500=1,620,000[/tex]
[tex]1,620,000[/tex]
Hope this helps!
Determine whether the given segments have the same length. Complete the justification of your answer,
AB and BC
The length of AB is
length
The length of BC is /
.So, AB and BC (select)
the same length
Answer:
No does not contain the same length
Step-by-step explanation:
Given that
A(-4,2) , B (1,4), C (2, -1)
Now
AB would be
= [tex]\sqrt{(1-(-4))^2 + (4-2)^2} \\\\= \sqrt{29}[/tex]
And, BC is
[tex]= \sqrt{(2-1)^2 + 1-(-4))^2} \\\\= \sqrt{26}[/tex]
As we can see that the AB and BC are not equaled
So,
AB ≠ BC
Due to the different length
Therefore they do not contains the same length
We simply applied the distance formula due to which the length could be determined and the same is to be considered
Certain investments compound interest at different intervals. What effect does the size of the compounding interval have
on the yield of the investment?
a. Investments with smaller compounding intervals have a higher yield, because the interest
earned is reinvested more quickly and thus gains compound interest more quickly.
b. Investments with smaller compounding intervals have a lower yield, because the interest earned
is smaller at each interval.
c. The size of the compounding interval does not affect the total yearly interest percentage rate and
only exists for bookkeeping purposes.
d. Investments with smaller compounding intervals have a lower yield, because the bank charges
a small fee every time interest is compounded.
Answer:
Option A: Investments with smaller compounding intervals have a higher yield, because the interest earned is reinvested more quickly and thus gains compound interest more quickly
Step-by-step explanation:
Compounding could be done monthly, quarterly, semiannually or annually. Compound interest is simply when we add the interest to the principal sum of a loan or amount deposited. It's also referred to as interest which is accrued on interest.
The compound interest that will be earned mainly depends on the frequency of compounding. Now compounding could be done monthly, quarterly, biannually or annually. Now, If we compound monthly, we will have a higher interest return than if we compounded annually.
Thus, looking at the options, the correct one is Option A
Answer:
a
Step-by-step explanation:
solve. 20 x 10⁵ = what i only have 5 minutes to answer this
Answer:
2000000
Step-by-step explanation:
20 x 100,000
Answer:
2000000 or 2×10^6
Step-by-step explanation:
[tex]20\times 10^5\\\\10^5=100000\\\\=20\times \:100000\\\\=2000000\\or \\2\times 10^6[/tex]
Find the distance between the two points (5, -3) and (2, 5). Simplify your answer, and write the exact answer in simplest radical form for an irrational answer.
Answer:
(3.5, 1)
Step-by-step explanation: