solve the system of equations
y=-2/3x+1 and x+y=4
Answer:
Point form: (9,-5)
Step-by-step explanation:
y=-2/3x+1 and x+y=4
Point form: (9,-5)
Equation form: x = 9, y = -5
A circular region has a population of about 250,000 people and a population density of about 125 people per square mile. Find the radius of the
region. Round your answer to the nearest hundredth.
The radius of the region is about
miles
Answer:
2.5 km
Step-by-step explanation:
what’s the slope of the line?
Answer:
(0,0)
Step-by-step explanation:
Games Galore Super Store buys the latest video game at a wholesale price of $30.00. The markup rate at Game's Galore Super Store is 40%. You use your allowance to purchase the game at the store. How much will you pay, not including tax and explain your reasoning. *
Answer:
$42Step-by-step explanation:
By definition, Markup is the difference between a product's selling price and cost as a percentage of the cost.
For example, if a product sells for $125 and costs $100, the additional price increase is ($125 – $100) / $100) x 100 = 25%.
Given data
firstly let us solve for 40% of $30
=40/100*30
=0.4*30
=$12
therefore the sale price will be the markup rate plus the initial price
Hence the you will have to pay 12+30=$42
Manny makes dinner using 1 box of pasta and 1 jar of sauce. If pasta is sold in packages of 10 boxes and sauce is sold in packages of 2 jars, what is the least number of dinners that Manny can make without any supplies leftover?
Answer:
10 dinners
Step-by-step explanation:
We solve using the Least Common Multiple Method.
We are told:
Pasta is sold in packages of 10 boxes Sauce is sold in packages of 2 jars.
We find the Multiples of 2 and 10
Multiples of 2:
2, 4, 6, 8, 10, 12, 14
Multiples of 10:
10, 20, 30
Therefore,
LCM(2, 10) = 10
The least number of dinners that Manny can make without any supplies leftover is 10 dinners
2. The angle of elevation of the top of a vertical
cliff, as seen from a boat 120 m away, is 32°.
The angle of elevation of the top of a flagpole
at the edge of the cliff, as seen from the boat,
is 37º. Find the height of the flagpole.
Answer: 15.44 m
Step-by-step explanation:
We can think this as two triangle rectangles.
In both cases, the adjacent cathetus is 120m.
When the angle is 32°, the opposite cathetus will be the height of the cliff.
When the angle is 37°, the opposite cathetus will be the heigth of the cliff plus the height of the flagpole.
Then we need to compute both of them and calculate the difference.
We can use the trigonometric relation:
Tan(θ) = (opposite cathetus)/(adjacent cathetus)
in this case we have:
Tan(32°) = (height of the cliff)/(120m)
Tan(32°)*120m = height of the cliff = 74.98m
Now we can use the other angle to compute:
Tan(37°) = (heigth of the cliff + heigth of the flagpole)/120m
Tan(37°)*120m = heigth of the cliff + heigth of the flagpole = 90.42m
Then the height of the flagpole will be:
H = 90.42m - 74.98m = 15.44 m
what is the area if b=16mm and h=12mm
Answer: 96
Step-by-step explanation: the formula for area of a triangle is 1/2 (b)(h)
so 1/2 (16)(12)
= 96
Which of the following quadrilaterals are similar?
Answer:
I believe its the last one
Answer:
the last one.
Step-by-step explanation:
rewrite the expression below in exponential form
log2 ^0.125=-3
Answer: 2^-3 = 0.125
Step-by-step explanation:
Just took a test over it :)
factor completely 4x⁸+12x⁷-16x⁶-48x⁵
y = 4x 2 is shifted 5 units to the right
Answer:4
Step-by-step explanation: y=mx+b is the slope intercept form of an equation. m is the slope and b is the y-intercept. just substitute 4 for m and 2 for b and get the original equation y = 4x + 2. since 4 is m, then 4 is the slope.
Answer:
y= 4(x-5) 2
Step-by-step explanation:
It seems counterintuitive, but to shift a parabola, you have to subtract five from x. To shift to the left, you would simply add five to x instead of subtract.
Evolution requires at molecules and atoms
assemble themselves into what order
Answer:
Evolution requires at molecules and atoms assemble themselves into increasing order
laura has 160 pounds of green beans at her vegetable stand. she sells 10 pounds of green beans every hour, what is the percent decrease in green beans after 3 hours?
Answer:
laura has 160 pounds of green beans at her vegetable stand. she sells 10 pounds of green beans every hour, what is the percent decrease in green beans after 3 hours?Step-by-step explanation:
Answer:
g
Step-by-step explanation:
Some one help ASAP it’s already 2am I want sleep please help I give crowns
Final Answer: [tex]x = 12[/tex]
Steps/Reasons/Explanation:
Question: What is the solution to the equation [tex]\frac{1}{2}x + 3 = \frac{2}{3}x + 1?[/tex]
Step 1: Simplify [tex]\frac{1}{2}x[/tex] to [tex]\frac{x}{2}[/tex].
[tex]\frac{x}{2} + 3 = \frac{2}{3}x + 1[/tex]
Step 2: Simplify [tex]\frac{2}{3}x[/tex] to [tex]\frac{2x}{3}[/tex].
[tex]\frac{x}{2} + 3 = \frac{2x}{3} + 1[/tex]
Step 3: Multiply both sides by [tex]6[/tex] (LCM of [tex]2, 3[/tex]).
[tex]3x + 18 = 4x + 6[/tex]
Step 4: Subtract [tex]3x[/tex] from both sides.
[tex]18 = 4x + 6 - 3x[/tex]
Step 5: Simplify [tex]4x + 6 - 3x[/tex] to [tex]x + 6[/tex].
[tex]18 = x + 6[/tex]
Step 6: Subtract [tex]6[/tex] from both sides.
[tex]18 - 6 = x[/tex]
Step 7: Simplify [tex]18 - 6[/tex] to [tex]12[/tex].
[tex]12 = x[/tex]
Step 8: Switch sides.
[tex]x = 12[/tex]
~I hope I helped you :)~
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
30
20
M
16
a.
16 24
8
15
30
20
b
16
24
4
-
20
30
5
C
16
20
24
30 3به ایا امه
d.
15
30
16
20
24
< Previous Activity
Answer: its d
Step-by-step explanation:
Cindy has a picture that is 3 inches wide and 4 inches long. She wants to enlarge it so that it is 12 inches long. How wide will the picture be?
Answer:
9 inches wide
Step-by-step explanation:
What we know:
Cindy has a 3-inch by 4-inch picture.
She wants to enlarge that picture so the length is 12 inches.
It's 4 inches long in the original, and 12 inches in the scale.
Divide 12 by 4 to get a scale factor of 3.
Multiply 3 by 3 (essentially 3^2) to get 9 inches as the width.
I want to know what is the formula for an endpoint with the midpoint of a line segement.
Answer:
Did u actually need the answer or is this another c.hat?
Step-by-step explanation:
can someone solve -15 = - 7a - 4 - 4a
and m - 4m = -6
and 8v - 3 + 3v = 8
STEP BY STEP PLEASE.
Answer:
A=1, m=2, v=1
Step-by-step explanation:
A.
[tex]-15=-7a-4-4a\\\\-15+4=-11a-4+4\\\\-11=-11a\\\\a=1[/tex]
B.
[tex]m-4m=-6\\\\\\-3m=-6\\\\\\3m=6\\\\m=2[/tex]
C.
[tex]8v-3+3v=8\\\\11v-3=8\\\\11v-3+3=8+3\\\\11v=11\\\\v=1[/tex]
For A, I first subtracted -4 from -7 as their variables are the same. I cannot subtract integers from variables. Then, I added 4 on both sides to move the integer on the left side. (This would also remove the -4 on the right side because -4+4=0) Then I divided -11 by both sides to get 1a or a.
For B, I subtracted -4 from 1 as their variables are the same. This time, since they are both negative numbers, I can make them both positive. So, just divide 3 by both sides as we want to get 1m.
For C, Add 3 to 8 as v is their variable. Then, I added 3 to both sides because we want to get the variable on one side. Divide by 11 and you will get v=1.
3x– 2y = -3
y = 7 - 4x
Resolver por sustitución
Answer:
y= 3/2x+3/2 btw add these and that is your answer then y=-4
Step-by-step explanation:
If two lines are perpendicular, what must be true about the slopes of the two lines. Select all that apply.
.
slopes are the same
Slopes are reciprocals
Slope are whole values
Slopes are opposites (one positive and one negative)
Answer:
Concept: Linear Systems
Those that are parallel have equal slope, contrary those that are parallel have reciprocal. Hope this helps!I’ll mark you brainlist I’ll mark you brainlist
Answer:
-2
Step-by-step explanation:
:)
Can someone solve these by elimination?
Answer:
x=1 and y=2 for number 4
Step-by-step explanation:
What is the solution of -8≤-2x≤6
a) -4<x<3
b) -4≤x≤3
c) -4≥x≥3
d) -3≤x≤4
Pretty sure the answer is D :)
Solve for x.
(x + 13) ft
24 ft
Answer:
x = 9.
Step-by-step explanation:
If you meant (x + 13) = 24, then we first must subtract 24 by 13.
24 - 13 = 9
Now, check your work by replacing the "x" with 9.
(9+ 13) = 24
24 = 24 <----- This is a true statement.
Therefore, x = 9.
Hope this helps! :D
Lucius and Angelina's teacher gave them a system of linear equations to solve. They each took a few steps that led to the systems shown in the table below.
Answer:
both
Step-by-step explanation:
Luc and Ang both just didn't simply one of there equations, otherwise it is equal
( HELP PLEASE <3)
a person riding in an elevator travels 150 feet in 30 seconds. What equation represents this relationship? How many feet will the person travel on 10 seconds?
A.) y=5x;5 feet
B.) y=3x;30 feet
C.) y= 1/5x;2 feet
D.) y=5x;50 feet
Answer:
The answer is A
Step-by-step explanation:
If you divided by 150/30 = 5.
So the answer is A. y=5x;5 feet.
Question 3 of 8 Which of the symbols correctly relates the two numbers below? Check all that apply. 19 ? 20
A.=/
B. =
C. <_
D. >_
E. >
F. <
Answer:
a and d
Step-by-step explanation:
it has a ratio comparison
Charlie can spend up to 10$ on lunch. He wants to buy a turkey sandwich, a bottle of soda,
and x pounds of macaroni. If a turkey sandwich cost $3.75, a bottle of soda cost $2.25, and
macaroni costs $2 per pound, find the range of pounds of macaroni that Charlie can buy.
Answer:
he can buy 2 pounds of macaroni
Step-by-step explanation:
first you add up the 3.75 and the 2.25 from the turkey and the soda. it ranges to 6 dollars. then if each macaroni pound is 2 you will be able to buy 2 pounds from the 4 dollars you have lefy
Answer:
Charlie can buy 1 or 2 pounds of macaroni
Step-by-step explanation
If we add up the cost of the turkey sandwich and the soda, we get $6.00. Charlie has $10.00 to spend, so when he buys the sandwich and soda, he will have $4.00 left to spend. If the macaroni is $2.00 per pound, then Charlie can buy 1 or 2 pounds of macaroni.
hope this helped
Tony wants to buy a new iPad mini for his birthday. A brand new iPad mini has a regular price
of $399. If Tony buys the iPad today, he will receive 20% off the original price. Find the
discount and the sale price of the iPad mini.
Answer:
319.20
Step-by-step explanation:
399×20%=79.8
399 - 79.8= 319.20
Use the equation p=b-3 to find the value of p when b = 8
Answer:
5
Step-by-step explanation:
p=(8)-3
p=5
Answer:
p=8-3
p=5
Step-by-step explanation: