A small swimming pool initially contains 400 gallons of water, and water is being added at a rate of 10 gallons per minute. Which expression represents the volume of the pool after minutes?
-10t + 400
10t + 400
400t + 10
400(1.1)^t
Answer:
10t + 400 would be the answer.
Step-by-step explanation:
every hour, there would be 10 gallons added to the pool, so time should be the letter "t" in the equation.
Also, there's already 400 gallons of water existing in the pool, so we need to add 400 gallons.
Therefore, 10t + 400 would be the answer.
Answer:
first of all who deleted my answer considering the fact that is was correct and i answer it first The answer is B
Step-by-step explanation:
hope this helps -_-
This tells you that the unknown number is multiplied by 3.
What is -21 minus 3x in factored form?
Answer:
-3(x+7)
Step-by-step explanation:
its just a line ;)
___________________
Answer:
I need points
Step-by-step explanation:
hhhccchhxjcjc
What does p equal in this equation and how: -p-7p=6(-2p+10)-(12-2p)
Answer:
24
Step-by-step explanation:
-8p=-12p+60-12+2p
-8p+12p-2p=48
2p=48
p=24
A rectangular sign has length of 3 and 1/2 ft and a width of 1 and 1/8 ft. Will the area of the sign be greater or less than 3 and 1/2 square ft? How do you know? What is the area of the sign?
Answer:
[tex]Area = 3\dfrac{15}{16}\ sq\ ft[/tex]
Area is greater than [tex]3\frac{1}{2}[/tex] sq ft.
Step-by-step explanation:
Length of rectangular sign board = [tex]3\frac{1}{2}[/tex] ft
Width of rectangular sign board = [tex]1\frac{1}{8}[/tex] ft
Area of a rectangle is given by the formula:
[tex]A = Length \times Width[/tex]
To find the area, we are going to multiply [tex]3\frac{1}{2}[/tex] with [tex]1\frac{1}{8}[/tex].
[tex]1\frac{1}{8}[/tex] is greater than 1.
Therefore the multiplication will be greater than [tex]3\frac{1}{2}[/tex].
Hence, we can say that area will be greater than [tex]3\frac{1}{2}[/tex] sq ft.
Area of the sign:
[tex]A = 3\dfrac{1}{2}\times 1\dfrac{1}8\\\Rightarrow A = \dfrac{7}{2}\times \frac{9}8\\\Rightarrow A = \dfrac{63}{16}\\\Rightarrow A = 3\dfrac{15}{16}\ sq\ ft[/tex]
MMM HEY PLEASE HELP. IM LITERALLY ABOUT TO END MYSELF.
Answer:
so
Step-by-step explanation:
i would try C bc it has both 73 degrees and 83 degrees and i dont really know what SAS is besides it means side angle side??? if its right can i have brainlest
Bianca wrote the steps for her solution to the equation 2.3 + 8(1.3x – 4.75) = 629.9. She left out the description for the last step. A table titled Bianca's Solution with 2 columns and 5 rows. The first row has the entries, blank, Steps, Resulting equations. The second row has the entries, 1, Use the distributive property to simplify, 2.3 plus 10.4 x minus 38 equals 629.9. The third row has the entries 2, Combine like terms, 10.4 x minus 35.7 equals 629.9. The fourth row has the entries, 3, Use the addition property of equality, 10.4 x equals 665.6. The fifth row has the entries, 4, blank, x equals 64. What is the missing step of her solution? Add 10.4 to both sides. Add negative 10.4 to both sides. Multiply both sides of the equation by 10.4. Divide both sides of the equation by 10.4.
Answer:
It is d!
i hope that you find this helpful! :D
The missing step for solution of the expression is,
⇒ Divide both sides of the equation by 10.4.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, We have been given an expression:
2.3 + 8(1.3x - 4.75) = 629.9
Hence, We will solve the above equation for x as;
First distribute the parenthesis over 8 we get:
2.3 + 10.4x - 38 = 629.9
Now, subtract 2.3 on right hand side of the above equation we get:
10.4x - 38 = 629.9 - 2.3
10.4 x = 627.6 + 38
10.4 x = 665.6
Hence, the last step would be divide by 10.4 to get the value of x
x = 64
Therefore, option 4th is correct.
Learn more about the mathematical expression visit:
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The number of calories burned while jogging varies directly with the number of
minutes spent jogging. An athlete burns 225 calories by jogging for 30 minutes.
How many calories does the athlete burn by jogging for 20 minutes?
Answer:
need more information
Step-by-step explanatin
Easy math, will give brainliest
Answer: Answer for question 7: 9x -7 is less than or equal to 38, X=5
Step-by-step explanation: Since a number next to a variable means multiplying, we can guess that 9 x 5=45, and 45-7 is less than or equal to 38. There is EZ math for ya
Answer:
7. x ≤ 5
8. x > 4
9. x < 5
10. x < -7
11. x < 45
12. x ≥ -10
13. k ≤ 3
14. x < 21
15. x ≥ -50
16. w ≥ 16
17. x ≥ -15
18. q > 4
Step-by-step explanation:
The variables y and x have a proportional relationship, and y = 15 when x = 3.
What is the value of x when y = 4?
Enter your answer in the box.
The variables y and x have a proportional relationship, and y = 9 when x = 2.
What is the value of y when x = 3?
Enter your answer in the box.
Which equation represents a proportional relationship?
y=2(x+13)
y=−3x+2
y=12x
y = 3x
This table shows a proportional relationship.
Complete the equation that represents the table.
Enter your answer as a decimal in the box.
y =
x
x y
−4 −6
−2 −3
0 0
8 12
The graph of a proportional relationship contains the point (−12,3) .
What is the corresponding equation?
Enter your answer as a fraction in simplest form by filling in the boxes.
y = $$
x
I will mark brainlest if someone answers these 5!
Question 1:
What is the value of x when y = 4?
x=0.8
Question 2:
What is the value of y when x = 3?
y = 13.5
Question 3:
Which equation represents a proportional relationship?
y=12x
Question 4:
What is the corresponding equation?
y=1.5x
Question 5:
What is the corresponding equation?
y=1/2x
The answers to each part is mentioned below.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given are the questions as mentioned.
Direct variation of {y} with {x} means that as {x} increases, the value of {y} increases uniformly with it. Mathematically -{K} = y/x = constant
Scale factor {K} is a dimensionless value that indicates the constant ratio value indicating direct variation.{ 1 } -
The variables y and x have a proportional relationship.Also y = 15 when x = 3.We can write for proportional relationship as : 15/3 = 4/x{x} = (4 x 3)/15 = 4/5
{x} = 4/5
{ 2 } -
The variables y and x have a proportional relationship.Also y = 9 when x = 2.We can write for proportional relationship as : 9/2 = y/3{y} = (9 x 3)/2 = 27/2 = 13.5
{y} = 13.5
{ 3 } -
An equation representing a proportional relationship is of the form -
y = mx + c
So all the equations given represent proportional relationship.
Therefore, the answers to each part is mentioned above.
To solve more questions on scale factor, visit the link below -
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Help!!!
√−100 = __ + __ i
Answer:
-10i
10i
Step-by-step explanation:
Answer:
Step-by-step explanation:
sqrt(-100) = sqrt(100) * sqrt(-1)
sqrt(-1) = i
Sqrt(100) = 10
sqrt(-100) = 10i
What’s the given m ABC = 70 and m ADC = 46
Answer:
Step-by-step explanation:
Properties of a kite;
1). A kite has one pair of equal angles.
2). A kite has two pairs of adjacent sides.
3). Diagonals of a kite intersect at 90°.
4). Kite has at least one diagonal that bisects the opposite angles.
It's given in the question,
m∠ABC = 70° and m∠ADC = 46°
By the property number -4,
m∠2 = m∠3 = [tex]\frac{70}{2}[/tex] = 35°
m∠8 = m∠9 = [tex]\frac{46}{2}[/tex] = 23°
By the property number - 3,
m∠4 = 90°
By the property of interior angles in a triangle,
m∠3 + m∠4 + m∠5 = 180°
35° + 90° + m∠5 = 180°
125° + m∠5 = 180°
m∠5 = 55°
Similarly, m∠1 + m∠2 + 90° = 180°
m∠1 + 35° + 90° = 180°
m∠1 = 55°
Now m∠6 + 90° + m∠8 = 180°
m∠6 + 90° + 23° = 180°
m∠6 = 180 - 113 = 67°
Therefore, m∠6 = m∠7 = 67°
The values of all 9 angles shown were found using the property of a kite they are:
∠1=55°
∠2=35°
∠3=35°
∠4=90°
∠5=55°
∠6=67°
∠7=67°
∠8=23°
∠9=23°
What are the characteristics of a kite?One pair of equal angles, two pairs of equal adjacent sides, diagonals intersect at a right angle.
∠1=∠6 because AB=AC
∠6=∠7 because AD=DC
∠2=∠3 because triangle ABC is a combination of two congruent triangles.
∠8=∠9 because triangle DAC is a combination of two congruent triangles.
∠4=90°diagonals intersecting at the right angle.
It is given that
∠2+∠3 = 70°
Since they are equal so ∠2=∠3=35
∠8+∠9 = 46°
Since they are equal so ∠8=∠9=23°
∠5 = 180-∠3-∠4 = 180-35-90=55°
Similarly, ∠1 = 55°
∠6+∠7 = 180-∠8-∠9 = 180-46 = 134°
Since they are equal
∠6=∠7 = 67°
Therefore, all 9 angles were calculated using property of a kite.
∠1=55°
∠2=35°
∠3=35°
∠4=90°
∠5=55°
∠6=67°
∠7=67°
∠8=23°
∠9=23°
To get more about kites refer to:
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Lisa reads 45 pages in 8 minutes. How many minutes would it take her to read 36 pages?
F. 5.25
G. 9
H. 6.4
J. 4.4
Solve | x - 5 | = 3 solve
Answer:
x = -2
Step-by-step explanation
| x - 5 | = 3
x + 5 = 3
x + 5 = 3
-5 -5
__________
x = 2
express y = -2x² - 4x + 7 in the form of perfect square and find the maximum points.
Answer:
Maximum: (-1,9)
Step-by-step explanation:
Vertex form of the quadratic function
If the graph of the quadratic function has a vertex at the point (h,k), then the function can be written as:
[tex]y=a(x-h)^2+k[/tex]
Where a is the leading coefficient.
We are given the following function:
[tex]y =-2x^2-4x+7[/tex]
To find the vertex, we need to complete squares. First, factor -2 on the first two terms:
[tex]y =-2(x^2+2x)+7[/tex]
The expression in parentheses must be completed to represent the square of a binomial. Adding 1 and subtracting 1:
[tex]y =-2(x^2+2x+1- 1)+7[/tex]
Taking out the -1:
[tex]y =-2(x^2+2x+1)+2+7[/tex]
Factoring the trinomial and operating:
[tex]y =-2(x+1)^2+9[/tex]
Comparing with the vertex form we have
Vertex (-1,9)
Leading coefficient: -2
Since the leading coefficient is negative, the function has a maximum value at its vertex, i.e.
Maximum: (-1,9)
Function s is the set of points: {(4,3),(5,3),(8,6),(9,6),(12,9),(13,9)}
(a) What is the inverse of function s?(b) the inverse of function s a function?
Explain your answer.
Given:
The function in the form of set of points is
[tex]s:\{(4,3),(5,3),(8,6),(9,6),(12,9),(13,9)\}[/tex]
To find:
(a) The inverse of function s.
(b) whether the inverse of function s is a function?
Solution:
(a)
If a function is [tex]f:\{(a,b),a,b\in R\}[/tex], then its inverse function is
[tex]f^{-1}:\{(b,a),a,b\in R\}[/tex]
We have,
[tex]s:\{(4,3),(5,3),(8,6),(9,6),(12,9),(13,9)\}[/tex]
So, inverse of this function is
[tex]s^{-1}:\{(3,4),(3,5),(6,8),(6,9),(9,12),(9,13)\}[/tex]
Therefore, the inverse of function s is [tex]s^{-1}:\{(3,4),(3,5),(6,8),(6,9),(9,12),(9,13)\}[/tex].
(b)
A set of point is a function if there exist unique output for each input.
In inverse of s, we have two output values y=4 and y=5 for single input x=3.
Therefore, the inverse of function s is not a function.
Question 1 (1 point)
A cheetah can run at its top speed for about 25 seconds. Complete the table to represent a
cheetah running at a constant speed. In the next question, explain or show your reasoning.
time (seconds) distance (meters) speed (meters per second)
4
120
25
270
Answer:
ok this was a good one so here
Step-by-step explanation:
time (seconds)
distance (meters)
speed (meters per second)
4 120 30
25 750 30
9 270 30
hey guys, can someone help me with this question? it’s due today by midnight
Answer:
4L + 8H = 512 (First answer)
You can take 92 low resolution pictures (second answer)
Step-by-step explanation:
Let L represent the number of low resolution pictures you take and H the number of high resolution pictures you can take.
You only have 512 megabytes.
Therefore, the number of megabytes the low resolution pictures you take plus the amount of megabytes the high rsolution you take in total should be 512
Therefore your equation is:
4L + 8H = 512 (First answer)
You took 18 high resolution pictures, so substitute 18 for H
4L+8(18) = 512
4L+144=512
subtract 144 on both sides
4L=368
divide by 4
L= 92
You can take 92 low resolution pictures
Hope this helps!
3 Ingrid earns $200 each week in salary plus a 20% commission (bonus) on her total sales. If Ingrid wants to earn a total of $400 for the week, which of these equations could best represent this situation?
Answer:
400 = 200 + 0.20x
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
the amount she gets paid is 200 and that will never change. the 20% commision will always change depending on her sales so we can mark that as x. so far we have 200+20x. We want 400 dollars and that will be the total. That being said, it is 400=200+20x
Maria is saving for a Nintendo Switch. A switch costs $250. She has $95 saved. Maria’s job pays her $8.50 and hour.
How many hours does Maria need to work to have enough money for the switch?
Answer:
19 days
Step-by-step explanation:
I can't believe she's getting a discount! A Nintendo Switch usually costs $299.99 MSRP! She's getting basically $50 off!
Rate of change is the same as what?
Jesse is filling spherical balloons. When full, one of these balloons has a diameter of 24\text{ cm}24 cm24, start text, space, c, m, end text. Jesse can fill a balloon at a rate of 820\text{ cm}^3820 cm
3
820, start text, space, c, m, end text, cubed per breath.
How many breaths does it take Jesse to fill a balloon?
Answer:
Answer is 8.8
Step-by-step explanation:
The diameter is 24\text{ cm}24 cm24, start text, space, c, m, end text, so the radius is \maroonD{12\text{ cm}}12 cmstart color #ca337c, 12, start text, space, c, m, end text, end color #ca337c.
\begin{aligned} \text{volume}_{\text{sphere}} &= \dfrac{4}{3}\pi (\text{radius length})^3 \\\\ \text{volume}_{\text{full}} &= \dfrac{4}{3}\pi (\maroonD{12})^3\\\\ &\approx \purpleD{7{,}238} \end{aligned}
volume
sphere
volume
full
=
3
4
π(radius length)
3
=
3
4
π(12)
3
≈7,238
A fully-inflated balloon has a volume of about \purpleD{7{,}238\text{ cm}^3}7,238 cm
3
start color #7854ab, 7, comma, 238, start text, space, c, m, end text, cubed, end color #7854ab.
Hint #33 / 4
Filling rate
Jesse can fill a balloon at a rate of \goldE{820\text{ cm}^3}820 cm
3
start color #a75a05, 820, start text, space, c, m, end text, cubed, end color #a75a05 per breath.
\begin{aligned} \text{volume}_{\text{filled}} &= (\text{filling rate}) (\text{\# of breaths})\\\\ \purpleD{7{,}238} &\approx \goldE{820} \redE{n}\\\\ \dfrac{\purpleD{7{,}238}}{\goldE{820}} &\approx \redE{n}\\\\ 8.8&\approx \redE{n} \end{aligned}
volume
filled
7,238
820
7,238
8.8
=(filling rate)(# of breaths)
≈820n
≈n
≈n
Answer:
8.8
Step-by-step explanation:
khan
Line segment AB was dilated to create line segment A'B' using the dilation rule DQ,0.15. Point Q is the center of dilation. Line segment A B is dilated to create smaller line segment A prime B prime. The length of Q A prime is 2.4. The length of A prime A is x. What is x, the distance between points A and A'? 2.4 units 4.8 units 13.6 units 14.4 units
Answer:13.6 units
Step-by-step explanation: its on edge
Answer:
13.6 or b
Step-by-step explanation:
Find AB I need help ASAP please
Answer:
AB= 94
Step-by-step explanation:
43+43= 86
180-86= 94
Vicki and Tamra are working on their math homework together. Vicki has worked p problems, and Tamra has worked 4 times as many problems as Vicki. The expression shows how many problems they have worked altogether.
p + 4p
Which of the following is another expression that could be used to get the same result, and what does it represent?
A.
p + 4. This represents that Vicky and Tamra have worked on p + 4 problems altogether.
B.
5p. This represents that Vicky and Tamra have worked on 5p problems altogether.
C.
p + 5. This represents that Vicky and Tamra have worked on p + 5 problems altogether.
D.
5p2. This represents that Vicky and Tamra have worked on 5p2 problems altogether.
Answer:
5p
Step-by-step explanation:
p+4p can be written as 1p+4p. And 1p+4p=5p because 1+4=5.
Find the value of x that will make L║M.
Answer:
In the pic
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ÷)
What is the answer to 9 and 10??? Only if you know please i will report you no games
Answer:
10 answer is 46
Step-by-step explanation:
and 9 answer is108
Answer:
9) X = 108
10) X = 180 - 134 =46
Step-by-step explanation:
A line contains the points (1,-6) and (-1,-10). Write the equation of the line.
Answer:
y = 2x – 8
Hope this helps!
3(2p + 7) = 15(p - 4)
HELP
Answer:
Your answer is going to be p=9.
Step-by-step explanation:
3(2p+7)=15(p-4)
6p+21=15p-60
+60 +60
6p+81=15p
-6p -6p
(81)/9=(9p)/9
p=9
Answer:
p = 9
Step-by-step explanation:
3(2p + 7) = 15(p - 4)
distribute + simplify
