Answer:
c. 500 + 24 * 8
Step-by-step explanation:
if there is 500 gallons of water already in the swimming pool and we are trying to add more and we are adding 24 gallons for 8 minutes to the already existing pool of water.
The expression 500 + 24 × 8 represents the amount of water in the pool, in gallons, after 8 minutes. The correct answer would be an option (C).
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
If the swimming pool currently has 500 gallons of water in it and we are trying to add more, we would add 24 gallons of water over the course of 8 minutes.
As per the given information, the required expression would be as
500 + 24 × 8
Thus, the expression 500 + 24 × 8 represents the amount of water in the pool, in gallons, after 8 minutes.
Hence, the correct answer would be option (C).
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Analyzing Angle Pair Relationships Parallel lines p and q are cut by transversal r. On line p where it intersects with line r, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: 1, 2, 4, 3. On line q where it intersects with line r, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: 5, 6, 8, 7. m∠3 is (3x + 4)° and m∠5 is (2x + 11)°. Angles 3 and 5 are . The equation can be used to solve for x. m∠5 = °
Given:
Parallel lines p and q are cut by transversal r.
m∠3=(3x + 4)° and m∠5=(2x + 11)°.
To find:
The relation between ∠3 and ∠5, then find the measure of angle 5.
Solution:
Parallel lines p and q are cut by transversal r as shown in the below figure.
From the figure it is clear that ∠3 and ∠5 are alternate interior angle. So, the values of these angles are equal.
[tex]m\angle 3=m\angle 5[/tex]
[tex](3x+4)^\circ=(2x+11)^\circ[/tex]
[tex]3x+4=2x+11[/tex]
Therefore, the required equation to solve for x is [tex]3x+4=2x+11[/tex].
Isolate variable terms.
[tex]3x-2x=11-4[/tex]
[tex]x=7[/tex]
The value of x is 7.
Now,
[tex]\angle 5=(2x+11)^\circ[/tex]
[tex]\angle 5=(2(7)+11)^\circ[/tex]
[tex]\angle 5=(14+11)^\circ[/tex]
[tex]\angle 5=25^\circ[/tex]
Therefore, the measure of angle 5 is 25°.
Which of the following is an example of a
set of like terms?
a. {197, 19,y}
b. {18x, -X, 21x}
c. {15, 20, 25y}
d. {-2x, -2y, -2xy)
Raina, Chang, and Alonzo sent a total of 94 text messages during the weekend. Alonzo sent 3 times as many messages as Chang. Raina sent 9 more messages than Chang. How many messages did they each send
Answer:
Chang sent 17 messages, Alonzo sent 51 and Raina sent 26.
Step-by-step explanation:
You turn the word problem into an algebraic expression and solve
50.008-18 3/4
????????????????
Answer:
31.258 :)
Step-by-step explanation:
Help me on this... :..............................)
Answer:
b
Step-by-step explanation:
plz let me know if this was wrong... hope this helps
Which number is rational?
A. -2.1010010001...
B. -0.8974512...
C. 1.3547569...
D. 5.3333333...
HELP!!!!
How many hours are in 17 years? Write your answer in scientific notations with 3 sig figs.
Sig figs are: are the number of digits in a value, often a measurement, that contributes to the degree of accuracy of the value. We start counting significant figures at the first non-zero digit. Calculate the number of significant figures for an assortment of numbers.
Answer:
1.49 x [tex]10^{5}[/tex] hours
Step-by-step explanation:
1 day=24hours
1 year=365 days
365days=24 x 365=8760hours
17 years
= 8760hours x 17
=148920hours
=1.4892 x [tex]10^{5}[/tex]
= 1.49 x [tex]10^{5}[/tex] hours
Answer:
1.49 x hours
Step-by-step explanation:
1 day=24hours
1 year=365 days
365days=24 x 365=8760hours
17 years
= 8760hours x 17
=148920hours
=1.4892 x
= 1.49 x hours
LESSON 5: Rational Numbers LEARNING TASK # 2 Score__________ Name:Joseph Sebastian Usi Section:7-Callalily Direction: Perform the indicated operations. 1.34+914=____221_____________ 2. 16+34=______45___________ 3. 46+418=_________220________ 4. 45-615=2 ________________ 5. 25-36=_________________ 6. 37 x 45=_________________ 7. 58x (-53)=_________________ 8. 3425=_________________ 9. 910÷(-45)=_________________ 10. 367 x 225=_________________
Answer:
1. 221+ 727
2. 45+5
3. 220+ 244
4. 2( -285)
5. (-9)
6. 1665 (multiplying)
7. -3074 (multiplying)
8. 685 *5
9. - 20 2/9
10. 82575 (multiplying)
Step-by-step explanation:
1.34+914=____221_____________
948 = 221+ 727 (subtracting 221 from 948)
2. 16+34=______45___________
50= 45+5 ( adding 5 to 45 to get 50)
3. 46+418=_________220________
464= 220+ 244 ( subtracting 220 from 464)
4. 45-615=2 ________________
- 570 = 2( -285) (dividing -570 by 2)
5. 25-36=_________________ (-9)
-9 = -9 ( subtraction)
6. 37 x 45=_________________ 1665 (multiplying)
7. 58x (-53)=_________________ -3074 (multiplying)
8. 3425=_________________ 685 *5 (dividing by 5)
9. 910÷(-45)=_________________ 182/ (-9) (dividing both by 5)
= - 20 2/9
10. 367 x 225=_________________ 82575 (multiplying)
Another neighbor said, “My age is the difference between twice my age in 5 years and and twice my age 5 years ago.” How old is this neighbor? A third neighbor had the same claim for 17 years from now and 17 years ago. How old is this neighbor?
Answer:
The neighbor is 20 years old.
The third neighbor is 68 years old.
Step-by-step explanation:
Equations
Let's set:
x=current age of the neighbor
x+5=his age in 5 years
x-5=his age 5 years ago
He claims that his age is the difference between twice his age in 5 years and twice his age 5 years ago. Then:
x = 2( x + 5 ) - 2( x - 5 )
Operating:
x = 2x + 10 - 2x +10
Simplifying:
x = 20
The neighbor is 20 years old.
Repeating for the other neighbor, a similar equation is established:
x = 2( x + 17 ) - 2( x - 17 )
Operating:
x = 2x + 34 - 2x +34
Simplifying:
x = 68
The third neighbor is 68 years old.
Luis and Raul are riding their bicycles to the beach from their respective homes. Luis proposes that they leave their respective homes at the same time and plan to arrive at the beach at the same time. The diagram shows Luis's position at two points during his ride to the beach. Write an equation in slope-intercept form to represent Luis's ride from his house to the beach. If Raul lives 5 miles closer to the beach than Luis, at what speed must Raul ride for the plan to work?
If x represents the time in hours since the ride began and y represents the remaining distance from the beach, then the equation
_____
represents Luis's ride from his house to the beach.
Answer:
equation: y=-7.5x+15 and Raul must ride at a speed of 5 mi/hr
Step-by-step explanation:
[tex]\frac{y2-y1}{x2-x1}[/tex] to find out the slope. [tex]\frac{6-11.25}{1.2-0.5}[/tex]=[tex]\frac{-5.25}{0.7} = -7.5[/tex]
Then you fill x and y to find out the y intercept
[tex]11.25=-7.5*0.5+b[/tex]
[tex]11.25=-3.75+b\\11.25+3.75=15\\[/tex]
Y intercept= 15
then you put it in the equation:
y=-7.5x+15
Since Raul lives 5 miles closer and Luis is 5 miles away, he needs to go at 5 miles an hour to get to the spot.
That is 5 miles/hour
The distance and time, as presented in this question are illustrations of linear equations.
The linear equation is: [tex]y = -7.5x + 15[/tex]He must plan to ride at 4.5 miles per hour, if he lives 5 miles closerFrom the diagram, we have:
[tex](x_1,y_1) = (0.5,11.25)[/tex]
[tex](x_2,y_2) = (1.2,6)[/tex]
Start by calculating the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{6 - 11.25}{1.2 - 0.5}[/tex]
[tex]m = \frac{-5.25}{0.7}[/tex]
[tex]m = -7.5[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives
[tex]y = -7.5(x - 0.5) + 11.25[/tex]
[tex]y = -7.5x + 3.75 + 11.25[/tex]
[tex]y = -7.5x + 15[/tex]
Calculate distance, when [tex]x = 5[/tex]
We have:
[tex]y = -7.5 \times 5 + 15[/tex]
[tex]y = -22.5[/tex]
The speed (s) is then calculated as:
[tex]s = \frac{22.5}{5}[/tex]
[tex]s = 4.5[/tex]
Hence, he must plan to ride at 4.5 miles per hour
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PICTURE PROVIDED JUST TELL ME IF IT IS A FUNCTION AND WHY
Answer:
This is a function because the Y values do not repeat.
In the figure below, Triangle A has been rotated about the origin. Which Triangle shows a 90 degree counterclockwise rotation?
Answer:
B
Step-by-step explanation:
4> 9 + 10
whats the anwsers?
Answer:
4>19
The statement is false 4 is not bigger than 19.
Multiply. Express your answer in simplest form.
5/6 x 15
Answer: 12 1/2
Step-by-step explanation:
Please help it's urgent!
Solve for r: S = 4pier^2
Answer: i cant type it but take the images- hope that helps
Step-by-step explanation:
what is the expression -3(4k-8) simplified
Answer:
-12k + 24
Step-by-step explanation:
-3 × -8 = 24
-3 × 4k = -12k
75 is what percent of 150?
If you show work you will be marked brainliest
50%
You need to convert the fraction (ratio)
Afterwards, you will get your answer!
I don't know how to upload or I would upload a picture of my work and how to do it to help you.
I hope this helps you!
Answer:
50percent
Step-by-step explanation:
75 is half of 150
Convert 8/25 to a percent
Answer:
32%
Step-by-step explanation:
Answer:
32%
Step-by-step explanation:
All you have to do is divide the numerator by the denominator and then multiply that result with 100
======================================================================
When you enter 8/25 into the above formula, you get (8/25)*100 which calculates to:
32%
given the diagram below, if e||f, m<=35°, m<2=95°, m<3=85°, and m<4= 155°, which statements are true? check all that apply
Answer:
the first answer and the last one
if there are 8 boys and 48 girls in a room, fill out all of the possible ratios of boys to girls that could be made. i already have 1 boy for every 6 girls
YALLL PLZZZZ HELPPPP ANYBODYYYYY I DONT GET THIS
Answer:
121
Step-by-step explanation:
74+47=121
180-121=59
59+x=180
x=121
what are the intercepts of 3x -4y=-24
Answer:
desmos
Step-by-step explanation:
look up desmos. its a grphing calculator and it gives u all the awnsers. welcome bro
Answer:
Y - intercept is -4
X - intercept is 3
x, and y are both variables that stand for the intercepts in the equation, if that makes sense.
Hope that helps and have a great day!
how many centimeters are in 4.8 inches?
[1 inch = 2.5 cm]
a. 12 cm
b. 11 cm
c. 7.30 cm
d. 1.92 cm
Answer:
A.
Step-by-step explanation:
Answer:
a.12
Step-by-step explanation:
4.8x2.5=12
Refer to the data set of 20 randomly selected presidents given below. Treat the data as a sample and find the proportion of presidents who were taller than their opponents. Use that result to construct a 95% confidence interval estimate of the population percentage. Based on the result, does it appear that greater height is an advantage for presidential candidates? Why or why not?
Complete Question
The data for this question is shown on the first uploaded image
Answer:
The 95% confidence interval estimate of the population percentage is
[tex] 33.2\% < p < 76.8 \% [/tex]
Step-by-step explanation:
On the data the first value is the height of the president while the other value is the height of his opponent
The sample size is n = 20
Looking at the data we see that out of the 20 presidents that only 11 is taller than their opponent
So the proportion of presidents that are taller than their opponents is
[tex]\^ p = \frac{11}{20}[/tex]
=> [tex]\^ p = 0.55[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p) }{n}} [/tex]
[tex]E = 1.96 * \sqrt{\frac{0.55 (1- 0.55) }{20}} [/tex]
[tex]E = 0.218[/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\r p -E < p < \r p +E[/tex]
=> [tex]0.55-0.218 < p < 0.55+ 0.218 [/tex]
=> [tex]0.332 < p < 0.768 [/tex]
Converting to percentage
[tex](0.332*100)\% < p < (0.768 *100) \% [/tex]
=> [tex] 33.2\% < p < 76.8 \% [/tex]
set a= {7,4, x, 8, 10, 5, 2}
if the median of set A is also its average, then what is one possible value of x?
a. 4
b. 6
c. 10
d. 16
Sewing patterns recommend buying extra fabric in case of mistakes. Jessica bought 5 yards of fabric , plus 20 % extra . How much fabric did Jessica buy ?
Answer:
Jessica bought 2.25 yards more material than Derek.
Step-by-step explanation:
how do yo solve 46x3 as the distributive property?
Answer:
138
Step-by-step explanation:
The distributive property of multiplication over addition can be used when you multiply a number by a sum. For example, suppose you want to multiply 3 by the sum of 10 + 2. 3(10 + 2) = ? According to this property, you can add the numbers and then multiply by 3.
Answer:
4(6x+3) in distributive property.
Step-by-step explanation:
Jefferson high school has 100 less than 5 times As many Students as Taft high school how many students are at Jefferson high school if Taft high school has 300 students
Answer:
1,400
Step-by-step explanation:
300x5=1,500 and 1,500-100=1,400
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Answer:
Thank U
Step-by-step explanation:
Answer:
thx
Step-by-step explanation:
You bought 100 shares of stock at $15 per share. You sold your 100 shares at $21.75 per share. Calculate your total profit from the sale.
Answer:
$675
Step-by-step explanation:
You multiply 15 and 100 answer for that is 1500 then you multiply 21.75 and 100 answer for that is 2175 finally you subtract 1500 from 2175 witch gives you the final answer of 675
Total profit from the sale of 100 shares is equals to $675.
What is profit?
" Profit is the amount of money or revenue which we earned when selling price of a product is more than its cost price."
Formula used
Profit = Selling price - Cost price
According to the question,
Cost price of 1 share = $15
Therefore,
Cost price of 100 shares = 15 × 100
= $1500
Selling price of 1 share = $21.75
Selling price of 100 shares = 21.75 ×100
= $2175
Selling price > Cost price
Therefore , Profit
Substitute the value in the formula we get,
Profit = 2175 - 1500
= $675
Hence, total profit from the sale of 100 shares is equals to $675.
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