a) y = 50x - 165 (After cleaning three pools, you were still down $15, this means the equipment costs 3*50 + 15 = $165)
b) The y-intercept -165 is the equipment cost
c) After cleaning 12 pools, y = 600 - 165 = 435. You have made $435.
You discovered that you could earn $50 for each summertime pool you cleaned. The equation is y = 50x + 16. The y-intercept is (0, 165). After 12 pools, y = 435.
What is point-slope equation ?We have to create a point-slope equation to reflect the quantity of pools you clean, x, and your summertime earnings.
Given that,
You discovered that you could earn $50 for each summertime pool you cleaned
But in order to begin going, you had to buy some supplies. Even after cleaning three pools, you were still out of pocket by a total of $15.
The equation we can write as
y = 50x + 165
You were still down $15 after cleaning three pools, therefore the equipment costs 3×50 + 15 = $165.
The y-intercept we get as taking x as zero.
y = 50(0) + 165
y = 165
The y-intercept is (0,165).
After 12 pools,
We get,
y = 600 - 165 = 435.
Therefore, The equation is y = 50x + 16. The y-intercept is (0,165). After 12 pools, y = 435.
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Drag and drop the angle pairs to correctly match their description.
Answer:
<XAW and <UAY are vertical angles
<XAW and <XAZ are complementary angles
Edwin went to the grocery store and bought several pounds of fruits. The fruit cost $2 per pound. He bought 2.5 pounds of apples , 1 3/10 pounds of bananas, and 0.85 pounds of kiwis. If he paid with a $10 bill , how much change will be left?
Answer:5.5 + 2.6 = 8.1 + 1.7 = 9.8
Step-by-step explanation: Soooo i think 20 cents
Mark walk miles in 5 hours how many miles did Mark walk in 1 hour?
solve for substitution
x-2y+z=-11
3x+2y-z=7
-x+2y+4z=-9
Answer:
Unit rate miles per day is, 3
Step-by-step explanation:
Unit rate are defined as the rate are expressed as quantity of 1 such that 2 miles per hour or 5 km per hour.
As per the given statement: A construction crew built 1/2 miles of road in 1/6 days
by unit rate definition;
After substituting the given values we have
⇒
or
Therefore, unit rate miles per day is, 3
Step-by-step explanation:
hhhthhg
Simplify the following expression.
(5^3)^5
Answer:
5 ^15
Step-by-step explanation:
(5 ^3)^5 =5 ^(3×5)=5 ^15
The rule used is (a^b)^c = a^(b*c)
If you raise some exponential expression to another exponent, then you multiply the exponents. You keep the base the same.
In this case, a = 5, b = 3, c = 5.
Using a calculator,
5^15 = 30,517,578,125
But it's likely your teacher will want you to keep the answer in exponential form since it's easier to work with.
A. Compute the balance in an account if $25,000 is invested for 5 years with an APR of 3% compounded daily. The balance in the account will be? B. For the same principal, APR, and time above, compute the balance in the account if it were compounded annually. The balance in the account will be? C. Discuss the difference in the answers above and give a possible explanation.
Answer:
A. $29,045.68
B. $28,981.85
C. Compound daily applies interest everyday over a period of 365 days in a year. Compound annually only applies the 3% interest once a year.
Step-by-step explanation:
3% compounded daily:
A = P(1 + r/n)^nt
= 25000(1 + [tex]\frac{.03}{365}[/tex])^365(5)
= 25000(1.00008219)¹⁸²⁵
= 25000(1.161827)
= 29045.6770
3% compounded annually:
A = P(1 + r/n)^nt
= 25000(1 + [tex]\frac{.03}{1}[/tex])^1(5)
= 25000(1.03)⁵
= 25000(1.159274)
= 28981.8518
change 84cm into mm
Answer:
840mm
Step-by-step explanation:
There are 10mm in 1cm, so all you have to do is multiply 84 by 10, which is 840. 84cm=840mm
Have a great day...I hope this helped you :3
Kelvin purchased two Madden 21 games for $125.00. How much did each game
cost?
Answer: 125.00$
Step-by-step explanation:
the answers in the question
Answer: $62.50
Step-by-step explanation:
125/2=62.50
In the next several games, the pitcher threw a total of 384 pitches and used a fastball 240 times. What decimal should Juanita use to update her report? Juanita should use the decimal to update her report. How do you know that the answer is a terminating decimal?
Answer:
0.625
It has 3 digits (finite) after the decimal point.
Step-by-step explanation:
Given that :
Total number of pitches = 384
Total number of fasfballs = 240
To make an update :
Ratio of the number of fastballs and total number of pitches
240 : 384
240/384
= 0.625
The result is a terminating decimal as it has a known number of digits after the decimal point. In the solution above, 0.625 has 3 digits after the decimal point and it is thus a terminating decimal.
Our friend claims that a rectangle with the same perimeter as △QRS will also have the same area. Is your friend correct? Explain. yes; Any rectangle with a perimeter of 12 units will have an area of 6 units. yes; If a rectangle does not have the same perimeter as △QRS, it will not have the same area, so your friend's statement is correct by counterexample. no; A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no; A 1×5 rectangle has a perimeter of 12 units and does not have an area of 6 units, so a counterexample shows that your friend's statement is not correct.
Answer:
A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no
Step-by-step explanation:
We are given vertices in the attached
To solve this question, we are given vertices, we solve using the formula:
√(x2 - x1)² +(y2 - y1)² when given (x1, y1) and (x2, y2)
We are given Triangle QRS
Where: Q = (-2, 1) , R = (-2, -2), S =(2, -2)
QR : Q = (-2, 1) , R = (-2, -2)
= √(-2 - (-2))² + (-2 - 1)²
= √0² + 3²
= √9
= 3 units
RS : R = (-2, -2), S =(2, -2)
= √(2 -(-2))² + (-2 - (- 2))²
= √4² + (0)2
= √16
= 4 units
QS: Q = (-2, 1), S =(2, -2)
= √(2 -(-2))² + (-2 - 1)²
= √(2 + 2)² + (-3)²
= √4² + 9
= √16 + 9
= √25
= 5 units
The Area of Triangle QRS = 1/2bh
b = base = RS = 4 units
h = height = QR = 3 units
= 1/2 × 4 × 3
= 6 square units
Perimeter of Triangle QRS = QR + RS + QS
=( 3 + 4 + 5)units
= 12 units
Our friend is claiming that a rectangle with the same perimeter as will have the same area as the triangle
The perimeter of a rectangle
= 2L + 2W
12 units = 2L + 2W
12 - 2L = 2W
W = 12 - 2L/2
The Area of a Rectangle = L × W
6 square units = LW
6 = LW
6 = L ×(12 - 2L/2)
6 = 12L - 2L²/2
Cross Multiply
6 × 2 = 12L - 2L²
12 = 12L - 2L²
2L² - 12L + 12
2(L² - 6L + 6)
Therefore, from the calculation above, we can conclude:
A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no.
Answer:
Step-by-step explanation:
Answer:
A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no
Step-by-step explanation:
We are given vertices in the attached
To solve this question, we are given vertices, we solve using the formula:
√(x2 - x1)² +(y2 - y1)² when given (x1, y1) and (x2, y2)
We are given Triangle QRS
Where: Q = (-2, 1) , R = (-2, -2), S =(2, -2)
QR : Q = (-2, 1) , R = (-2, -2)
= √(-2 - (-2))² + (-2 - 1)²
= √0² + 3²
= √9
= 3 units
RS : R = (-2, -2), S =(2, -2)
= √(2 -(-2))² + (-2 - (- 2))²
= √4² + (0)2
= √16
= 4 units
QS: Q = (-2, 1), S =(2, -2)
= √(2 -(-2))² + (-2 - 1)²
= √(2 + 2)² + (-3)²
= √4² + 9
= √16 + 9
= √25
= 5 units
The Area of Triangle QRS = 1/2bh
b = base = RS = 4 units
h = height = QR = 3 units
= 1/2 × 4 × 3
= 6 square units
Perimeter of Triangle QRS = QR + RS + QS
=( 3 + 4 + 5)units
= 12 units
Our friend is claiming that a rectangle with the same perimeter as will have the same area as the triangle
The perimeter of a rectangle
= 2L + 2W
12 units = 2L + 2W
12 - 2L = 2W
W = 12 - 2L/2
The Area of a Rectangle = L × W
6 square units = LW
6 = LW
6 = L ×(12 - 2L/2)
6 = 12L - 2L²/2
Cross Multiply
6 × 2 = 12L - 2L²
12 = 12L - 2L²
2L² - 12L + 12
2(L² - 6L + 6)
Therefore, from the calculation above, we can conclude:
A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no.
what percent is 52.52 million of 142 million
Answer:
37%
Step-by-step explanation:
Given parameters:
Total number = 142 million
Comparing number = 52.52 million
Unknown:
What percent is the number =?
Solution
The percentage;
= [tex]\frac{comparing number }{total number } x 100[/tex]
= [tex]\frac{52520000}{142000000}[/tex] x 100
= 37%
Answer:
dwadwdwa
Step-by-step explanation:
Find the rate of change in the graph
Answer:
4/3
hope this helped :)
A line includes the points (9, -7) and (-6, -2). What is its equation in slope-intercept form?
Answer:
[tex]y=\frac{-1}{3}x-4[/tex]
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step 1: Define
Point (9, -7)
Point (-6, -2)
Step 2: Find slope m
[tex]m=\frac{-2-(-7)}{-6-9}[/tex]
[tex]m=\frac{-2+7}{-15}[/tex]
[tex]m=\frac{5}{-15}[/tex]
[tex]m=\frac{-1}{3}[/tex]
[tex]y=\frac{-1}{3}x+b[/tex]
Step 3: Find y-intercept b
[tex]-7=\frac{-1}{3}(9)+b[/tex]
[tex]-7=-3+b[/tex]
[tex]-4=b[/tex]
Step 4: Write linear equation in slope-intercept form
[tex]y=\frac{-1}{3}x-4[/tex]
Anyone know the answer to this?
a. 6x2
b. 2x3
c. 5x2
d. 4x2
e. 5x1
A racing car can complete an 700 m long lap in 14 s. What is the speed of the
car?
Answer:
[tex]\boxed {\tt 50 \ m/s}[/tex]
Step-by-step explanation:
To find the speed, divide the distance by the time. We can use the following formula:
[tex]s=\frac{d}{t}[/tex]
The racing car completed a 700 meter lap in 14 seconds. So, the distance is 700 meters and the time is 14 seconds.
[tex]d= 700 \ m \\t= 14 \ s[/tex]
Substitute the values into the speed formula.
[tex]s=\frac{700 \ m }{14 \ s}[/tex]
Divide.
[tex]s= 50 \ m/s[/tex]
The speed of the racing car is 50 meters per second
Answer:
The answer is 50 m/sStep-by-step explanation:
The speed of an object can be found by using the formula
[tex]v = \frac{d}{t} \\ [/tex]
where
v is the speed
d is the distance
t is the time
From the question
d = 700 m
t = 14 s
We have
[tex]v = \frac{700}{14} \\ [/tex]
We have the final answer as
50 m/sHope this helps you
Which pairs of angles are always congruent? (select all that apply)
Corresponding Angles
Same Side Exterior Angles
Alternate Exterior Angles
Linear Pair Angles
Vertical Angles
Same Side Interior Angles
Alternate Interior Angles
Answer:
Corresponding angles
Alternate Exterior Angles
Alternate Interior Angles
I hope this helps I may be wrong I am sorry if i am
Answer:
numbers 1 and 5
Step-by-step explanation:
i toook the test
Write the equation in slope-intercept form of a line that is parallel to y= -8x - 2 and goes through the point (-1, 11)
Answer:
y=-8x+3
Step-by-step explanation:
Slope-intercept form means
[tex]y=mx+c[/tex]
To write the equation in this form we need two things firstly m which is the slope and secondly c which is the y-intercept.
Since the line is parallel to [tex]y=-8x-2[/tex] as given in the equation and as we know that parallel lines have the same slope. So our new desired line that we need has a slope of -8 which is m. Now all we need is the y-intercept. For that we take the coordinate [tex](0,y)[/tex] because y-intercept means the line intersects the y-axis and if the line intersects the y-axis that specific point lies on the y-axis which is [tex](0,y)[/tex] so we put all the values in our desired equation and the coordinate that is also given to us [tex](-1,11)[/tex] because the line goes through this point it must lie on the line and hence we can use this point as well so now,
[tex]y=mx+c\\y=-8x+c\\11=-8(-1)+c\\11=8+c\\3=c[/tex]
so, the equation becomes,
[tex]y=-8x+3[/tex]
1500 divided by 3500 would be?
Answer:
0.42857142857
Step-by-step explanation:
correct me if im wrong
expand and simplify 3(3x-4)-2(2x-1)
Answer:
5x-10
Step-by-step explanation:
distribute 3 & 2 thought the parenthesis
5 divided by 5/6.please help
Answer:
5 divided by 5/6=6
Graph the exponential function.
f(x) = 4^x
Plot five points on the graph of the function. Then click on the graph-a-function button.
Exponential Function doesn't have a graph that intercepts x-axis only if it is f(x) = a^x (when a>0 and a ≠ 1)
If you want to plot five points to graph the function then. I'd rather do from negative number to positive number.
Substitute from -3≤x≤1 (We get 5 points)
f(-3) = 4^-3
f(-3) = 1/4^3
f(-3) = 1/64 (First point) (-3,1/64)
f(-2) = 4^-2
f(-2) = 1/4^2 = 1/16 (Second point) (-2,1/16)
f(-1)=4^-1 = 1/4 (Third point) (-1, 1/4)
f(0) = 4^0 = 1 (Fourth point) (0, 1)
f(1) = 4^1 = 4 (Fifth point) (1,4)
Toby's principal wants to put a new fence around the playground. The playground is a rectangle in shape.
It is 75.23 meters wide and 105.55 meters long. Which expression shows how many meters of fencing he needs in all?
A-75.23 + 75.23 + 75.23 + 105.55
B-75.23 + 105.55 + 105.55 + 105.55
C-75.23 + 75.23 + 105.55 + 105.55
D-75.23 + 75.23 + 75.23 + 75.23
For a given recipe, 6 cups of flour are mixed with 12 cups of sugar. How many cups of sugar should be used if 16 cups of flour are used?
Answer:
32 cups
Step-by-step explanation:
hope this helps plz mark brainliest
Juan's rock collection consists of 8 quartz, 6 turquoise, 4 mica, and 2 silica. What is the percent for each of the given ratios? quartz turquoise mica silica
Answer:
Step-by-step explanation:i need points sorry
I will give BRAINLIEST
Answer:
B
Step-by-step explanation:
Answer:
I think it is B :D
Step-by-step explanation:
The formula for finding area of a triangle is: A=( 1/2)bh
Solve the equation for height, h.
SOMEBODY PLS HELP ASAP
Answer:
h=2Ab
Step-by-step explanation:
if you divide b on both sides you get Ab=1/2h
Then you would divide by 1/2 which is the same as multiplying by 2 which gives you the final answer of h=2Ab
Subtract.
7/z +3
2/z+3
Simplify your answer as much as possible.
Answer:
5/z
Step-by-step explanation:
(7/z + 3) - (2/z + 3)
distribute the minus sign
(7/z + 3) - 2/z - 3
simplify
7/z + 3 - 2/z - 3
5/z
if sinA=1/2than find tan A
Step-by-step explanation:
Here's the answer I hope it will help you
Answer:
Step-by-step explanation:
From the Pythagorean Theorem
a^2 + b^2 = c^2
a = 1
b = ?
c = 2
1^2 + b^2 = 2^2
1 + b^2 = 4
b^2 = 4 - 1 = 3
b = sqrt(3)
Tan(30) = opposite / adjacent.
adjacent = sqrt(3)
Tan(30) = 1/sqrt(3)
=========
If you need a decimal, it is
1 / 1.321
tan 30 = 0.5774
There is a proportional relationship between the number of months a person has had a streaming movie subscription and the total amount of money they have paid for the subscription. The cost for 6 months is $47.94. What is the constant of proportionality in this relationship? What does the constant of proportionality tell us about the situation?
Answer: proportionality constant = 7.99
It means for every 1 month, the amount need to pay = $7.99 .
Step-by-step explanation:
When y is directly proportional to y , then the equation for this relationship is given by :-
[tex]y=mx[/tex], (i)
where m is the proportionality constant.
here, it is given that number of months a person has had a streaming movie subscription is proportional to the total amount of money they have paid for the subscription.
If cost for 6 months is $47.94.
Put x= 6 and y= 47.94 in (i), we get
47.94 =6m
Divide both sides by 6 , we get
7.99 =m
So proportionality constant = 7.99
It means for every 1 month, the amount need to pay = $7.99 .
The constant of proportionality (k) is 7.99. This tells us that the subscription per month is $7.99.
Recall:
A proportional relationship is modelled with the equation, y = kx.
k is the constant of proportionality between y and x.
k = y/x
Given:
x = number of months (6)
y = total amount paid for subscription (47.94)
If 6 months subscription costs $47.94, therefore,
k = 47.94/6
k = 7.99
Constant of proportionality is therefore 7.99. This tells us that the subscription for per month is $7.99.
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label the slope and y intercept