Answer:
The pre-image
Step-by-step explanation:
Hope this helps ya!
If the diagonal distance covered by the stairs pictured is 25 feet, and the horizontal distance is 15 feet, what is the height of the stairs? Round your answer to the nearest foot if necessary
25 feet
22 feet
400 feet
20 feet
Answer: 20 feet
Step-by-step explanation:
Hi, since the situation forms a right triangle we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case the diagonal distance covered by the stairs) and a (horizontal distance) and b (vertical distance) are the other sides.
Replacing with the values given:
25^2 = 15^2 + b^2
625 = 225 + b^2
625-225 = b^2
400= b^2
√400 =b
b =20 feet
Feel free to ask for more if needed or if you did not understand something.
Answer: 20 feet
Step-by-step explanation:
From the question, the diagonal distance covered by the stairs is 25 feet, and the horizontal distance is 15 feet. To calculate the height of the stairs, we will use the Pythagoras rule
The square of the diagonal will be equal to the addition of the square of the horizontal distance and the square of the height. This will be:
25² = 15² + height²
height² = 25² - 15²
height² = 625 - 225
height² = 400
height = ✓400
height = 20 feet
The height of the stairs is 20 feet
1. Stephen works for an environmental protection agency
responsible for toxic waste cleanup. Stephen has to
remove the top 24" of contaminated soil in order to make
sure the soil is not a health hazard. The soil covers a
1200' x 1500'lot. How much soil must be removed?
Answer:
Area to be removed = 3600000 feet³
Step-by-step explanation:
We need to calculate the volume of soil to be removed. We have been already provided with area of the lot in feet.
Total Area of soil = 1200' x 1500'
Where soil to be removed is given in inches, convert it into feet
Soil to be removed = 24''=2'
Multiply both the the value to get the volume of soil to be removed so the soil is not a health hazard
Area to be removed = 1200' x 1500' x 2'
Area to be removed = 3600000 feet³
Hey so I'm doing slope-intercept and I understand it and have been moving on, but I'm confused at this: "2 = -4 + b 6=b" How did the -4+b turn into 6=b?
Answer:
By adding 4 to both sides.
2= -4 +b
2= b -4
2+4= b-4 +4
6= b
Another way to look at it is to move all the constants to one side. Here we have the constant 2 on the left hand side, and on the right we have the constant -4 and the variable b.
To isolate b, we move the constant -4 to the left hand side. Moving a number to the other side of the equal sign changes the sign of the number. So, -4 becomes a +4 on the left hand side.
2 +4= b
6= b
Help!
Janella has her hair styled and wants to tip her stylist 18%. Write an equation that could be used to calculate the tip, y, for a bill total of x dollars.
Answer:
10( 3/4x * 9/500y ) = 10
Step-by-step explanation:
We know 18% can also be found
when we take the x amount 75 x 0.18 = 13.50
We thereafter find 75-13.50 = 61.50 for Janella's hair cost plus $13.50 tip.
But for x = 750 x 9/500 = 10
We find 13.50 = 10
x= 1.5
18% coincidentally is 13.5 and 13.5 x 1.5 = 18
So we could redesign and use 18 in the equation
An equation that could be used to calculate the tip, y, for a bill total of x dollars is y=0.18x.
Given that, Janella has her hair styled and wants to tip her stylist 18%.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the tip be y and total bill be y.
So, tip y = 18% of total bill x
⇒ y = 18% of x
⇒ y = 18/100 × x
⇒ y = 0.18x
Therefore, an equation that could be used to calculate the tip, y, for a bill total of x dollars is y=0.18x.
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could someone please help me figure this out...
Two lines are intersecting. What is the value of x?
(x + 40)°
(4x - 5)”
====================================================
Work Shown:
The two angles shown are a linear pair. They are adjacent and supplementary. Supplementary angles add to 180 degrees.
(4x-5)+(x+40) = 180
5x+35 = 180
5x = 180-35
5x = 145
x = 145/5
x = 29
--------
As a check, if x = 29, then
4x-5 = 4*29-5 = 116-5 = 111
x+40 = 29+40 = 69
The two angles are 69 and 111 degrees which add to 69+111 = 180, which helps confirm the answer.
Answer:
x = 29
Step-by-step explanation:
The two angles with measures are a linear pair.
Angles in a linear pair are supplementary, so their measures add to 180 deg.
4x - 5 + x + 40 = 180
Combine like terms on left side.
5x + 35 = 180
Subtract 35 from both sides.
5x = 145
Divide both sides by 5.
x = 29
Which equation represents the line that passes through (-6, 7) and (-3, 6)?
y=-3x+9
y=-3x + 5
y=-3x – 11y
y=-3x + 25
Answer:
y=-3x+5
Step-by-step explanation:
y²-y¹=gradient
x²-x¹
6-7=gradient
-3+6
-1/3=gradient
y-6/x+3=-1/3
y-6=-1/3(x+3)
y-6=-1/3x-1
y=-1/3x+5
The math club needs to raise more than $552.50 for a trip to the state competition. The club
has raised 12% of the funds. Which inequality shows how much money each of the 7 club
members needs to raise if each raises the same amount?
A
m< $69.45
В
m> $69.45
C
m<$72.35
D
m> $72.35
Answer:
A or B
Step-by-step explanation:
Leaning more towards B- u want the club to earn more not less
The correct inequality is m> $69.45
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
The math club needs to raise more than $552.50 for a trip to the state competition.
The club has raised 12% of the funds.
To represent the inequality we have to perform the following function
=552.50 x 0.12
=66.3
The amount remained= 552.50 - 66.3 = $486.2
So, for the 7 members = 486.2/7
= $69.45
Hence, the inequality is m>$69.45
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HELP PLEASE
Question 1
The probability that an event will occur is 100%. Which of these best describes the likelihood of the event occurring?
Likely
Certain
Unlikely
Impossible
Question 2
A class has 15 boys and 16 girls. What is the probability that a boy's name is drawn at random?
15 over 31
16 over 31
15 over 16
16 over 15
Question 3
A spinner is divided into sections of equal size, of which some are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 50%. The probability of the arrow landing on a section colored blue is 10%. What is the probability of the arrow landing on a section colored green?
10%
40%
50%
60%
Question 4
The probability that an event will occur is fraction 1 over 8. Which of these best describes the likelihood of the event occurring?
Likely
Certain
Unlikely
Impossible
Answer:
1. certain
2.15/31
3.40%
4.unlikely
How much is a penny and a quarter
Answer:
check google
Step-by-step explanation:
Answer: 26¢
Step-by-step explanation: A penny equals 1¢ and a quarter is 25¢ so together that would make 26¢
Chen is bringing fruit and veggies to serve at an afternoon meeting. He spends a total of $28.70 on 5 pints of cut veggies and 7 pints of cut fruit. The food cost is modeled by the equation 5 v plus 7 f equals 28.70, where v represents the cost of one pint of cut veggies and f represents the cost of one pint of cut fruit. If the cost of each pint of fruit is $2.85, what is the approximate price of a pint of veggies? (Round to the nearest cent, as needed.
Answer:
one dollar 75 cents
Step-by-step explanation:
lets write the original equation again
5v+7f=28.70
now, lets put in the cost of the fruit to find cost of veggies
5v+7(2.85)=28.70
5v+19.95=28.70
5v=8.75
5=1.75
Answer:
Answer: $1.75
Step-by-step explanation:
Each pint of fruit = $2.85
7 pints of fruit = 2.85 x 7 = 19.95
5 pints of veggies will cost
28.70 - 19.95 = 8.75
Each pint of veggies = 8.75 / 5 = 1.75
AABC has coordinates of A(-6, -3), B(7, -7), and C(0, 3). Find the coordinates of its image after a dilation centered at the origin with a scale factor of 1.5.
Find the area of the parallelogram.
______________________________
Hey!!
Base=15cm
height=5 cm
Area of parallelogram=b*h
=15*5
=75 cm^2
Hope this helps..
__________________________
14. Catherine found that as she increases the price of a chocolate bar, the number of sales per week decreased.
Answer: the higher the price is the less competitive the sales
Step-by-step explanation:
say i were to raise a price extremely from $2 to $6 you would buy the other brand of candy that is $2
Is figure B a scale copy of figure A. Yes or No Please help me thank you
Answer:
Yes
because they both face the same direction
and they triangle in shape
According to the table, during which interval did the
average time spent on hold increase?
week 1 to week 3
week 1 to week 4
week 4 to week 6
week 3 to week 5
Answer:
C
Step-by-step explanation:
Got it correct, Edge2020.
Answer:
c. week 4 to week 6
Step-by-step explanation:
got it right on my test
Solve for x.
-3x-8+6=7
А. x= -7/5
B.x= -1/3
C. x=5
D. x=45
Answer:
[tex]x=-3[/tex]
Step-by-step explanation:
[tex]-3x-8+6=7[/tex]
[tex]-3x-2=7[/tex]
[tex]-3x-2+2=7+2[/tex]
[tex]-3x=9[/tex]
[tex]$\frac{-3x}{3} =\frac{9}{3} $[/tex]
[tex]-x=3[/tex]
[tex]x=-3[/tex]
Given this rectangular prism with length
= 15 m, height
= 25 m, and Volume
13, 500 m*, find the missing width of the prism:
V = 13,500 m²
25 m
15 m
? m
Answer: width = 36 m
Step-by-step explanation:
Width = Volume / (height x length)
Width = 13500 / (25 x 15)
= 13500/375
= 36 m
Carlos' school is selling tickets to a spring musical. On the first day of ticket sales the school
sold 6 adult tickets and 12 student tickets for a total of $204. The school took in $79 on the
second day by selling 5 adult tickets and 3 student tickets. What is the price each of one adult
ticket and one student ticket?
Answer:
Adult ticket = $8
Student ticket = $13
Step-by-step explanation:
Hi, to answer this we have to write a system of equations (sales equations)
6x + 12y =204 (first day)
5x +3y =79 (second day)
Where x is the price of each adult ticket and y is the price of each student ticket.
If we multiply the second equation by 4 , and subtract the first equation to the second equation:
20x +12y =316
-
6x + 12y =204
___________
14x = 112
Solving for x:
x =112/14
x = 8
Substituting x=8 on any equation:
5x +3y =79
5(8)+3y =79
40+3y =79
3y =79-40
3y = 39
y =39/3
y = 13
Please answer need help tysm!
Step-by-step explanation:
it's on the -0.8 number...
Answer:-0.8
Step-by-step explanation:count from -1 up to where B is
Steven paid $52 in sales tax. The retail price of the item was $966. What is the sales tax percentage?
Answer:
5.38%
966/52 = 0.05383022774
Step-by-step explanation:
5.38 can also be 5.4%
As proved.
We can write this as 52>52.2
To find 52>52.49 we only have to divide it by the larger number.
52.49/966 = 0.05433747412
or multiply to check.
966 x 0.054 = 52.164 sales tax = 5.4% paid
966 x 0.053835 = 52.00461 = 5.38 % paid
Both these amounts or in-between would be sales tax percentage
But exact would be 5.38%
Answer:
5.383%
Step-by-step explanation:
To find what percent a part is of a number, divide the part by the number and multiply by 100%.
part = 52
number = 966
percent = 52/966 * 100% = 5.383%
The given Stem-and-Leaf Plot displays the daily number of people who attended a 10-day carnival. What is the mean of the given data set? A. 69.7 people per day B. 71 people per day C. 65 people per day D. 70 people per day
Answer:
71 people per day for this qst
Answer:
the answer is actually A. 69.7
Step-by-step explanation:
i took the test a lot of times to get the answer
Solve the following equation using algebraic operations 3( x-4)= -18
Answer:
x=-2
Step-by-step explanation:
3( x-4)= -18
Divide each side by 3
3( x-4)/3= -18/3
x-4= -6
Add 4 to each side
x-4+4 = -6+4
x = -2
Answer:
x+ -2
Step-by-step explanation:
-18/3= -6 -6+4=-2
Find the sum of the first 14 terms for the sequence -2,10,-50,....
Answer:
Step-by-step explanation:
a=-2
r=10/-2=-5
[tex]s_{14}=a\frac{r^n-1}{r-1} \\=-2\frac{(-5)^{14}-1}{-5-1} \\ =\frac{1}{3}(5^{14}-1)\\=\frac{6103515625-1}{3}\\=\frac{6103515624}{3}\\=2034505208[/tex]
Which set of numbers could be the length of the sides of a right triangle?
A) {10,24,26}
B) {12,16,30}
C) {3,4,6}
D) {4,7,8}
***YOU DON'T HAVE TO SHOW WORK***
6. Mr Chua's car consumes petrol at an average rate
of 8 litres daily. Before Mr Chua begins his journey,
he tops up the petrol in his car to 100 litres. Given
that he will next top up the petrol in his car when
there are 20 litres left, form an inequality and solve
it to find the maximum number of days he can travel
before he has to top up the petrol in his car. 10
Answer: He can travel up to 9 days before he has to top up the petrol in his car.
Step-by-step explanation:
Hi, to answer this question we have to write an inequality with the information given:
The petrol available (100) minus the amount that his car consumes per day (8x) must be higher to 20 (liters left)
Mathematically speaking:
100- 8x > 20
Where x is the number of days.
Solving for x:
100-20>8x
80 > 8x
80/8> x
10>x
x <10
x must be less than 10 days .
He can travel up to 9 days before he has to top up the petrol in his car.
The exponent on a when a^2 is multiplied by a5 is
A. 3
B. 7
C. 10
Answer:
B
Step-by-step explanation:
[tex]a^2\cdot a^5= \\\\a^{2+5}= \\\\a^7[/tex]
Therefore, the correct answer is 7. Hope this helps!
Answer:
7
Step-by-step explanation: When multiplying a number where both has exponent you add the exponent. a^5 * a^2 is the same thing as a^5+2 which is a^7.
A baker is making bread rolls. He divides his dough into 8 equal pieces. He then cuts each one of these pieces into three, each of which is a single bread roll. He sells the rolls in bags of 4. original dough is in one bag of rolls give your answer in its simplest form
Answer:
6 bags
Step-by-step explanation:
8x3=24
24/4=6
I NEED HELP PLS IF U HAVE THE WORK PLS PUT IT PLSSSSSS!!!:)
Answer:
33. (2,7) graph's provided
34. g) it goes thru +2 on the y axis and it looks like it has a slope of -1, so -x
35. sorryyyy, i just honestly dont get it
I don’t need you to explain just answer.
Answer:
Simplify the expression.
i could not type in exponent so just open the screen shot
Step-by-step explanation:
i Hope it works
Can someone help please
Answer:
9
Step-by-step explanation:
its perpendicular so you do the negative reciprical
Answer:
The correct answer is
A. 9
Step-by-step explanation:
Since the line is going up the slope will be positive... That leaves us with 2 options A/B. However the red line is much steeper and therefore has a greater slope so A is the answer.
Hope this helps!
- Quinn <3