Answer:
[tex]\sf y = -\frac{2}{3}x +490[/tex]
Explanation:
[tex]\sf 2x + 3y = 1470[/tex]
[tex]\sf 3y = 1470 - 2x[/tex]
[tex]\sf y = \frac{1470 - 2x}{3}[/tex]
[tex]\sf y = -\frac{ 2x}{3} +\frac{1470}{3}[/tex]
[tex]\sf y = -\frac{2x}{3} +490[/tex]
[tex]\sf y = -\frac{2}{3}x +490[/tex]
slope intercept form: y = mx + b
where m is slope and b is y-intercept.
Slope intercept form of a line
y=mx+bLets do
[tex]\\ \rm\Rrightarrow 2x+3y=1470[/tex]
[tex]\\ \rm\Rrightarrow 3y=-2x+1470[/tex]
[tex]\\ \rm\Rrightarrow y=\dfrac{-2}{3}x+490[/tex]
m=-2/3b=490nequall es on the very 5. Danny buys 3 gallons of gas for $22.41. Find the unit price.
please help ASAP!
Answer:
i think its 5x3 and 5x3=15
Step-by-step explanation:
Your Welcome!
Find the base.
16 = ?
The exponent is 4
Answer:
2
Step-by-step explanation:
The exponent, 4, means ? x ? x ? x ? = 16
? = 2, because 2 x 2 x 2 x 2 = 16
Hope this helps :)
Have a nice day!
(show ur work) what is 9 3/5 ÷ 3 1/3 =
Answer:
2 22/25
Step-by-step explanation:
9 3/5 ÷ 3 1/3
We need to convert to improper fractions
9 3/5 = ((5*9)+3) /5 = 48/5
3 1/3 = (( 3*3)+1)/2 = 10/3
48/5 ÷ 10/3
Copy dot flip
48/5 * 3/10
Rewrite
48/10 * 3/5
24/5 * 3/10
72/25
Rewrite as a mixed number
50/25 + 22/25
2 22/25
Find the length of x
Andrea is going to buy x lbs of pasta salad and y lbs of chicken salad for a party
Good job Andrea!!! .
Express as a trinomial. (x-2)(3x-9)
Answer:
3x + 9)(x - 2) = 3x(x - 2) + 9(x - 2) = (3x 2 - 6x) + (9x - 18) = 3x 2 + 3x - 18
What is the solution for r in the following system of equations?
2x + 3y = 16
2 + 2y = 10
Answer:
(2,4)
*View attached graph*
Step-by-step explanation:
2x + 3y = 16
2 + 2y = 10
2 + 2y = 10
-2 - 2
2y = 8
/2 /2
y = 4
2x + 3y = 16
2x + 3(4) = 16
2x + 12 = 16
- 12 - 12
2x = 4
/2 /2
x = 2
(x,y) -> (2,4)
Hope this helps!
i need help. please thanks
Answer:
1920
Step-by-step explanation:
What we can do is split this into two sections: the volume of the rectangle and the volume of the square.
Rectangle: We can follow the equation V = lbh, so we have 14x8x10, giving us 1120.
Square: We can use the same equation, V = lbh, giving us 10x10x8 which is 800.
Final Answer: To get the full volume, we have to add these together, so, 1120 + 800 = 1920.
The simple interest on a sum of money is 25% of the principal and the number of year is equal to the rate percent per annum. Find the rate.
Answer:
5
Step-by-step explanation:
Simple Interest =25%*p
rate = term = t
from simple interest = ptr/100
term = rate = 5
Make x the subject of the formula Tx/q = y
Answer:
Step-by-step explanation:
To make 'x' as the subject isolate 'x'.
To isolate 'x',
Step 1: Multiply the entire equation by q
Step 2: Then Divide by T
[tex]q*\dfrac{Tx}{q}=q*y\\\\\\Tx=qy\\\\\dfrac{Tx}{T}=\dfrac{qy}{T}\\\\\\x=\dfrac{qy}{T}[/tex]
Answer:
x = qy/T
Step-by-step explanation:
We want to isolate the x term. To do that, first multiply by q to end up with Tx = qy.
Then divide by T to get x = qy/T.
x is by itself, and we have our answer.
Marlon decided to go for a long run early Saturday morning. When he got back, he was very thirsty. He drank 600 milliliters of water. After 10 minutes he drank another 250 milliliters of water. How many liters of water did Marlon drink just after his Saturday run?
0.650 L
650 L
0.850 L
850 L
Answer:
0.850 L
Step-by-step explanation:
Maria invests .93750 at 9.6% per annum for 3 years and the interest is compounded annually. Calculate:
i) The amount to her credit at the end of 2 year
ii) The interest for 3rd year.
Please answer its important
20 POINTS HURRY! What is the slope of the line that passes through the points listed in the table?
A. -3
B. 3
C. 5
D. 7
Answer:C
Step-by-step explanation:
can someone help me with my math problem, im having trouble understanding the question, also this is 6th grade math.
Answer:
B
Step-by-step explanation:
as far as I can tell, Check the picture below.
[tex]\stackrel{mixed}{3\frac{1}{4}}\implies \cfrac{3\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{13}{4}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{}{\cfrac{13}{4}\implies \stackrel{\textit{how many times does }\frac{3}{4}\textit{ go into }\frac{13}{4}?}{\cfrac{3+3+3+3+1}{4}\implies \underset{\textit{4~times with a remainder of }\frac{1}{4}}{\cfrac{3}{4}+\cfrac{3}{4}+\cfrac{3}{4}+\cfrac{3}{4}~~ + ~~\cfrac{1}{4}}}}~\hfill \blacktriangleright 3\frac{1}{4}\div \cfrac{3}{4} \blacktriangleleft[/tex]
HELP PLEASE
A circle has a diameter AB, and its center is at (-3, 3). Point A is at (1/2,6). Where is point B located?
a-(-6.5, 0)
b-(6.5, 0)
c-(0, -6.5)
d-(-1.25, 4.5)
letter c.
\green{ \huge{ \boxed{ \tt{{ ANSWER }}}}}
ANSWER
\huge\green{\overline{\qquad\qquad\qquad\qquad \: \: \: }}
The required coordinates of point B is (-6.5, 0), therefore option a is correct.
To find the coordinates of point B, we can use the midpoint formula. The midpoint formula states that the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is given by:
Midpoint = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)
In this case, point A is given as (1/2, 6) and the center of the circle is at (-3, 3). Let's denote the coordinates of point B as (x, y). Since the center of the circle is the midpoint of the diameter AB, we can set up the following equation:
Midpoint = ((1/2 + x) / 2, (6 + y) / 2) = (-3, 3)
Now, let's solve for x and y:
1/2 + x = -6
x = -6 - 1/2
x = -6.5
6 + y = 6
y = 6 - 6
y = 0
So, the coordinates of point B are (-6.5, 0).
Therefore, the correct answer is an option: a-(-6.5, 0).
Learn more about midpoint here:
https://brainly.com/question/28615330
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The total value of the pennies and nickels was $14.50. Hala counted the coins and found there were 450 coins in all. How many of each type of coin did she have?
Answer:
Hala will have 200 Pennies and 250 nickels.
Step-by-step explanation:
Let x be = number of Pennies
Let y be = number of nickels
x + y = 450
-x -x
——————
y = -x + 450
0.01x + 0.05y = 14.50
0.01x + 0.05( -x + 450 ) = 14.50
0.01 - 0.05x + 22.5 = 14.50
-0.04x + 22.5 = 14.50
-22.5 -22.5
———————————-
-0.04x = -8
——— —
-0.04 -0.04
x = 200
200 + y = 450
-200 -200
————————
y = 250
The area of the trapezoid is 30square inches.
b1 is 8 - b2 is 4
What is the trapezoid's height, h?
Answer:
the height is 7.5
Step-by-step explanation:
30 divided by 4 = 7.5
Diego wants to have $1,000,000 in 5 years. He plans to invest $250,000 to start and make yearly payments of $125,000 to the account. He will be receiving 3.5% interest compounded monthly on his investment. Will he reach his goal?
No
Yes
Answer:
Yes
Step-by-step explanation:
With the $875,000 from his input alone he is really close to $1,000,000 and doing simple intrest on the $250,000 is $105,000 a year is he earns 3.5% intrest a month.
So in 5 years he'll have about $1,662,500 using simple intrest but with compound it'd be more like 2mil
Hope this helps!
The scale on a map shows that 1 inch = 30 miles. If there are 4.5 inches between your present location and the place you want to go, how many miles do you have to ?
Scale : 1 inch = 30 miles
So, the ratio between the distance on the map and the real distance is 1:30
When a quantity increase/decrease in a ratio, the other one increase/decrease respectively.
Call the miles we have to go : x
1:30 = 4.5:x
(1x4.5):(30x4.5) = 4.5 : x
4.5 : 135 = 4.5 : x
So, x = 135 => We have to go 135 miles to get to the place we want to go.
What are the coordinates of quadrilateral A'B'C'D'?
PLEASE HELP ILL GIVE BRAINLIEST
Answer:
It is 6!! im doing the same test can you help me out with my question?
Step-by-step explanation:
Answer:
A rectangular prism is a 3D figure with 6 rectangular faces. To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units. Created by Sal Khan.
Step-by-step explanation:
pls give me brainliest
Help me pleaseeeeeeee
HELP PLEASE PLEASEE I WILL GIVE 50 POINTS
Answer:
the first one is 3 4 6 8
the cost is 9.75 i belive and then 15
Step-by-step explanation:
sorry if im wrong
Which of the following best describes the expression 5(x + 2)
Answer:
[tex]5x + 10[/tex]
Step-by-step explanation:
[tex]5(x + 2) = (5 \times x) + (5 \times 2) = 5x + 10[/tex]
Explain why this comparison is either reasonable or not reasonable. 3.4 < 3.36
Answer:
3.4>3.36
Step-by-step explanation:
It is not reasonable because 3.4 is greater than 3.36.
Find the distance between the pair of points.
(0, -21) and (-13, - 25)
Answer The distance between the two points in exact form is
√185 and the decimal form is 13.60147050...
Anna sells candy apples at her yard sale. She wants to earn more than $40. She sells the apples for $2 each and has earned $26. How many apples, a, does she need to sell to reach her goal?
Write an inequality to determine the number of apples anna needs to sell to meet her goal.
Solve the inequality.
Graph the solution set on the number line.
Explain the solution set.
please
Answer:
7
Step-by-step explanation:
Because if 1 apple=2$ then she need to sell 20 apples she now has 26$ meaning she has sold 13 of them so 26$
She needs 14 more$ remember the rule 1 apple=2$ so if she needs 14 more $ then that means 7 more apples=14$ And there's your answer 7 more apples.
Hope this helps have a great afternoon:)
what is the correct solution to the following inequality?
The answer is, x < -6/5 hope it helps
Please answer soon (45 Points)
Answer:
Step-by-step explanation:
The answer is the first choice.
The maximum calories per week for the dog is 4900
One week is seven days which means:
maximum calorie/day = [tex]\frac{4900 calorie/day}{7 day}[/tex]=700 calories/day
Thus the dog can have 700 or fewer calories per day
Susan needs to walk a total distance of 1/2 of a mile. She has walked 1/8 of a mile so far. How much further does she have to go? Simplify the fraction if possible.
She needs to walk 3/8 of a mile to reach her destination
Difference of fractionsFractions are written as a ratio of two integers
Given the following parameters
Total distance walked = 1/2 miles
Distance walked so far= 1/8 miles
Determine the miles she needs to go further
D = 1/2 - 1/8
D = 4-1/8
D = 3/8
Hence she needs to walk 3/8 of a mile to reach her destination
Learn more on fraction here: https://brainly.com/question/78672
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