Answer: The lines intersect at the point (7, 24)
Step-by-step explanation:
We have two lines:
y = 6*x - 18
y = 8*x - 32
We want to find the point at which both lines intersect, this means that there is a point (x, y) that belongs to both lines.
This means that we can write:
6*x - 18 = y = 8*x - 32
Because the y-value should be the same for both lines, then we get:
6*x - 18 = 8*x - 32
Now we can solve this for x.
6*x - 18 = 8*x - 32
32 - 18 = 8*x - 6*x
14 = 2*x
14/2 = x = 7
Now we know that the lines intersect at x = 7, replacing this in any of the two equations we can get the y value at which the lines intersect, let's use the first equation:
y = 6*7 - 18 = 24
So the lines intersect at the point (7, 24)
The product of two consecutive negative even integers is 24. Find the largest integer.
Answer:
-4
Step-by-step explanation:
ok negative times negative = positive
and factors of 24 are
1,2,3,4,6,8,12,24
4 x 6 are the two consecutive EVEN numbers
so turn it to negative
-4 x -6 = 24
The largest is -4
PLZ NEED HELP ASAP WILL GIVE BRAINLIEST
Answe quik tha 2nd one
Step-by-step explanation:
do it
Are the speeds 30 miles per 3 hours and 10 miles per hour the same?
I need help :( ↑
Answer:
Yes they are the same
Step-by-step explanation:
So we have 10mph, If you stay at that speed for another 2 hours you will reach 30 miles. If you still don't understand please don't hesitate to ask for help.
Answer: Yes they are.
Step-by-step explanation:
If you simplify 30 and 3 by 3 they equal 10/1. if you simplify 10 and 1 by 1 you get 10/1
Explain how many cupcakes Jasmine can make if she had 5 1/4 cups of frosting but needs 3/8 cups for each cupcake
Answer:
jasmine can make 14 cupcakes
Step-by-step explanation:
5 1/4 = 5.25
3/8 = 0.375
5.25/0.375 = 14
PLEASE HURRY TEN MINUTES MAX BRAINLLEST WILL BE GIVEN
The base of a parallelogram is 3.2 centimeters and the height is 1.8 centimeters. What is the area of the parallelogram? Do not round your answer.
A = cm 2
Answer:
5.76
Step-by-step explanation:
Formula bh
3.2 x 1.8=5.76
Answer:5.76cm²
Step-by-step explanation:
This is the pond in a shape of a prism, it is completely full of water. Colin uses a pump to empty the pond. The level goes down by 20cm in the First 30min Work put how many minutes Colin has to wait for the pond to completely empty
Answer:
150 minutes
Step-by-step explanation:
P.S - The exact question is -
Given - This is the pond in a shape of a prism, it is completely full of
water. Colin uses a pump to empty the pond. The level goes
down by 20 cm in the first 30 min.
To find - Work put how many minutes Colin has to wait for the pond
to completely empty.
Proof -
Given that,
Height of prism = 1 m
Also,
Base of the prism is trapezium and
Sides of the trapezium are 0.6 m and 1.4 m
Height of trapezium is 2 m
We know that,
Area of trapezium = [tex]\frac{1}{2}[/tex]× (sum of sides)× height
= [tex]\frac{1}{2}[/tex]× (0.6 + 1.4)× 2
= [tex]\frac{1}{2}[/tex]× (2)× 2
= 2 m²
⇒Area of trapezium = 2 m²
Now,
Volume of prism = Area of trapezium × height of prism
= 2 m² × 1 m
= 2 m³
⇒Volume of prism = 2 m³
Now,
Given that the level goes down by 20 cm in the first 30 min
We know
100 cm = 1 m
⇒1 cm = [tex]\frac{1}{100} m[/tex] = 0.01 m
⇒20 cm = 20×0.01 m = 0.2 m
⇒The level goes down by 0.2 m in the first 30 min.
Also,
we know that height of water = height of prism = 1 m
So, the remaining water left in the pond = 1 m - 0.2 m = 0.8 m
Also,
Volume of Remaining water = Area of trapezium × height
= 2 m² × 0.8 m
= 1.6 m³
⇒Volume of Remaining water = 1.6 m³
Now,
Volume of emptied water = Total Volume - Volume of Remaining water
= 2 m³ - 1.6 m³
= 0.4 m³
⇒Volume of emptied water = 0.4 m³
Now,
0.4 m³ water will be empty in 30 minutes
⇒ 1 m³ water will be empty in [tex]\frac{30}{0.4}[/tex] = 75 minutes
⇒1.6 m³ water will be empty in 1.6 × 75 = 120 minutes
∴ we get
The remaining water is empty in 120 minutes
So,
Total pond is empty in 120 + 30 minutes
⇒Total pond is empty in 150 minutes
Divide 6.1 and 51.24
Answer:
.119047619
hope this helped
Answer:
8.4
Step-by-step explanation:
51.24 ÷ 6.1 = 8.4
Although, if you were dividing 6.1 by 51.24, you would have a totally different answer, the answer to 6.1 ÷ 51.24 = 0.119047619047619.
pick all that apply plz I need help
Answer: D
Step-by-step explanation: You need to divide the figure into 2 parts. You need to ignore 13 m And use the other numbers. Figure A is 9x3x4 and Figure B is 7x4x4 because the other 4 is at the bottom. I hope this helps. Good luck!
Please help me with this. Its easy but I'm du.mb.
Answer:
1. Greatest Common Factor
2. Fraction
3. Simplest Form
Step-by-step explanation:
Can I get help It’s Worth 58 Points if it’s the right answer I will pin you
What is the area of the trapezoid?
Answer:
168
Step-by-step explanation:
5+23/2=14
14x12=168
no questions ignore the other one
Answer:
ok
Step-by-step explanation:
Answer:
alright lol
Step-by-step explanation:
8.
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.
A. 10; your car travels for 10 hours.
B. 212; your car travels 212 miles.
C. [tex]\frac{53}{1}[/tex], Your car travels 53 miles every 1 hour.
D. [tex]\frac{1}{53}[/tex]; Your car travels 53 miles every 1 hour.
Answer:
The answer is D) The car travels 53 mph(Miles Per Hours).
212/4 = 53
318/6 = 53
424/8 = 53
530/10 = 53
Step-by-step explanation:
Answer:
C) rate of change is 53, your car travels 53 miles every 1 hour .
Step-by-step explanation:
Given : Table for time and distance.
To Find : The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.
Solution : We have given that Table for time and distance.
rate of change= (change in y)/(change in x) .
rate of change=(212)/(4) .
rate of change = 53.
rate of change= (318)/(6).
rate of change = 53
rate of change = (424)/(8).
rate of change = 53.
rate of change = (530)/(10) .
rate of change = 53.
Therefore, C) rate of change is 53, your car travels 53 miles every 1 hour .
What step do you take to solve the following equation: X - 7 = -1*
ADD '-1 to both sides
ADD '7' to both sides
ADD 'X' to both sides
SUBTRACT -1' from both sides
SUBTRACT '8' from both sides
How do you solve x²-6x+34=0?
Answer:
[tex]x = 3\pm 5i[/tex]
Step-by-step explanation:
Quadratic formula
[tex]x = \frac{6 \pm \sqrt{36-4(1)(34)}}{2(1)}[/tex]
There are no real solutions since the discriminant is negative.
Simplify this to get x = 3+5i, 3 -5i
Which is the answer? :(
Answer:
the answer is :)
Step-by-step explanation:
Answer:
D because the triangle has to be congruent
Please help me with this homework using the substitution method
Answer:
(5, -2)
Step-by-step explanation:
Let's solve the first equation for x: If x + y = 3, and if we subtract y from both sides, we get x = 3 - y. Next, substitute 3 - y for x in the second equation:
3(3 - y) + 2y = 11, or
9 - 3y + 2y = 11
Combining like terms: -3y + 2y = 11 - 9, or
-y = 2, or y = -2.
Then, from the equation x = 3 - y, which we found earlier,
x = 3 - (-2) = 5
Then the solution is (5, -2)
If the terminal point of ø is (-1,0), what is tan ø?
The SOH CAO TOA identity is used to determine the acute angles of a right triangles. The terminal point of ø is (-1,0), what is tan ø is 0
Given the terminal point (-1, 0), the value of tanø is expressed as:
tanø = opposite/adjacent
tanø = y/x
From the coordinate given:
x = -1
y = 0
Substitute
tanø = 0/-1
tanø = 0
Hence the terminal point of ø is (-1,0), what is tan ø is 0
Learn more on terminal point here: https://brainly.com/question/1621860
#SPJ2
One repair service company charges $27 for a house call plus
$10 per hour. A different company charges $15 for a house
call plus $13 an hour. After how many hours will the price for
the service call be the same for the two companies?
Answer:
4
Step-by-step explanation:
27+10(x)
15+13(x)
27+10(4)=67
15+10(4)=67
C = 2n + 1 i need help with this i have no clue how to do it
Answer:
3...?
Step-by-step explanation:
1+2=3
NEED HELP QUICK!!
Determine how much you would recieve in return for a 8 month, $500 loan to a friend if you charged the 3% annual interest. Show your work.
Answer: See explanation
Step-by-step explanation:
We are going to solve this by using the Simple interest formula which is:
= Principal × Rate × Time
= 500 × 3% × 8/12
= 500 × 0.03 × 2/3
= 10
Therefore, the interest will be $10 ane the total amount that'll be paid back will be:= $500 + $10 = $510
angle relations
A) 73°
B) 149°
C) 163°
D) 31°
Answer:
D
Step-by-step explanation:
those angles are vertical angles so they are congruent.
Select all the pairs that are alternate interior angles.
Answer:
angle 3 and angle 5
angle 2 and angle 8
PLEASE I NEED HELP ON This Please
Answer:
33
Step-by-step explanation:
The pattern is y = 5x + 8.
So, plugging in 5 for x gives you y = 5(5) + 8 = 33.
8. Subtact (7x – 10) – (-6x – 8).
Answer:
13x - 2
Step-by-step explanation:
7x - -6x = 7x + 6x = 13x.
-10 - -8 = -10 + 8 = -2
13x - 2
Answer:
13x - 2
Step-by-step explanation:
( 7x - 10 ) - ( -6x - 8 )
First, distribute the minus sign outside of the second parenthesis. Multiply each term within the second parenthesis by the minus sign.
( 7x - 10 ) + ( (-1)(-6x) + (-1)( -8))
Simplify,
( 7x - 10 ) + ( 6x + 8 )
Remove parenthesis,
7x - 10 + 6x + 8
Simplify, combine like terms,
7x - 10 + 6x + 8
13x - 2
what is the value of the expression 8-(2 cubed +48) divided by 8
PLEASE NO LINKS
ASAP
Answer:1.5
Step-by-step explanation:
8-(2^2+48)/8
8-32-6
8-38
-30
---
hope it helps
sorry if i'm wrong, I having a hard time processing things today
Write an equation to represent the following statement.
10 less than j is 35.
Answer:
j-10=35
Step-by-step explanation:
10 less than j means j-10 is 35
=> j-10=35
Answer:
f-10=35 thus meaning f=45
Step-by-step explanation:
f - 10 = 35
+10 +10
f=45
Hope you find this usefull
-Aj-;)
1/2 plus blank equals 3/4
Answer:
1/4
Step-by-step explanation:
1/2 + 1/4= 3/4
Answer:
1/2 + 1/4 = 3/4
Step-by-step explanation:
can I please have brainliest? :)
3(4y + 7) = 69
full answer
Answer:
y=4
Step-by-step explanation:
First, you should simplify this equation. To do that, we need to multiply 3 by 4y and 3 by 7. This will make the equation 12y+21=69. Subtract 21 from both sides to isolate y. This will make the equation 12y=48. You want the y to be by itself so you have to divide 12 by each side to get y=4. Therefore, the answer is y=4.
Hope this helps
That is the answer...
Find the slope of the line in the graph.
Answer:
rise over run 2/10 siplified 1/5
Step-by-step explanation: