Answer:
Height = 18.2 inches
Step-by-step explanation:
15 gallons = 3,465 cubic inches
Length of the rectangular prism = 20 inches
Width of the rectangular prism = 10 inches
Height of the rectangular prism = x inches
Volume of the rectangular prism = 3,645 cubic inches
Volume of the rectangular prism = length × width × height
3,645 = 20 × 10 × x
3,645 = 200x
Divide both sides by 200
3,645 / 200 = x
18.225 = x
To the nearest tenth of an inch
x= 18.2 inches
Therefore,
The rectangular prism is 18.2 inches high
Jean says that if she multiplies 73×34, her product will automatically be less than 73 because 34 is less than 1, meaning the product will only be a part of 73. Is Jean correct?
Answer:
Yes, Jean is correct
Step-by-step explanation:
Given
[tex]73 * \frac{3}{4}[/tex]
Required
Determine the value of the result
When a positive integer is multiplied by a fraction, the result is always less than the integer
Solving further
[tex]Expression = 73 * \frac{3}{4}[/tex]
[tex]Expression = \frac{73 * 3}{4}[/tex]
[tex]Expression = \frac{219}{4}[/tex]
[tex]Expression = 54.75[/tex]
The result of the expression shows that the resulting value is less than 73.
Hence, Jean is correct
Write a simplified expression for the length of AC.
A X + 2 B
7x - 3
AC =
Write a simplified expression for the length of QR.
HELP ME PLASE
Answer/Step-by-step explanation:
Length of AC:
Given that AB = x + 2, and BC = 7x - 3, therefore,
[tex] (x + 2) + (7x - 3) = AC [/tex] (segment addition postulate)
Simply the expression for the length of segment AC
[tex] x + 2 + 7x - 3 = AC [/tex]
Collect like terms
[tex] x + 7x + 2 - 3 = AC [/tex]
[tex] 8x - 1 = AC [/tex]
Length of QR:
Given that PQ = 8y + 5, and PR = 13y + 25, therefore,
QR = (13y + 25) - (8y + 5) (PQ + QR = PR)
Simplify the expression to for the length of segment QR
QR = 13y + 25 - 8y - 5
Collect like terms
QR = 13y - 8y + 25 - 5
QR = 5y + 20
21 POINTS!!! Which choice shows a function with a domain of {-4,-2,2,4}?
Answer:
C
Step-by-step explanation:
The domain is the input values
A has an input of 2
B has an input of all real values
D has an input of 1,0,2,6
C has an input of -4,-2,2,4
-3x+c=-3x+8 Describe the values of c for which the equation has no solution.
Answer:
any value other than 8
Step-by-step explanation:
If c = 8, the two sides of the equation say the same thing, so any value of x will satisfy the equation.
If c ≠ 8, there are no values of x that can make the equation true, hence no solutions.
There is no solution for any value of c that is not 8.
[tex]c=-3x+8+3x\\c=8[/tex]
If c = 8 then the solution is infinite. (because the equation is true)
[tex]-3x+7=-3x+8\\-3x+7+3x-8=0\\1=0[/tex]
If c < 8 then there're no solutions. (the equation is false)
[tex]-3x+9=-3x+8\\-3x+9+3x-8=0\\1=0[/tex]
If c > 8 then there're no solutions.
easy way. also if you look at the graph. It's literally impossible to have one intercept if the coefficient of x for both have the same operators and same absolute value like -2x+c = -2x + a or -3x+2 = -3x+5, we'll never get a single intercept. If we change like -3x+c = -5x+8, we might still get one solution.
*PLEASE ANSWER ASAP * Taylor is playing a board game with two friends. Using a single die, one friend rolled a one, and the other friend rolled a three. Taylor needs to roll a number higher than both friends in order to win the game, and she wants to calculate her probability of winning. What is the sample space for Taylor’s calculation?
what is the perimeter of the triangle in simplest fo
Answer:
3 + 9[tex]\sqrt{5}[/tex]
Step-by-step explanation:
primeter = a + b + c
primeter = [tex]\sqrt{20}[/tex] + 3 + [tex]\sqrt{20}[/tex] + 3 + [tex]\sqrt{5}[/tex]
primeter = 3 + 9[tex]\sqrt{5}[/tex]
If one angle of supplementary angle is 40 degrees; what is the angle measurement of the other one?
Answer:
140°
Step-by-step explanation:
Supplementary angles sum to 180° , thus
angle = 180° - 40° = 140° ← other angle
1. XY is the same as
YX.
Answer:
is the same X×Y,Y×X
that is the answer of your question
Two trains leave stations 306 miles apart at the same time traveling toward each other one is traveling at 90 mph the other at 80 mph how long before they meet
Answer:
They will meet in 1.8 hours.
Step-by-step explanation:
Given that, distance between trains = 306 miles
Let they take time [tex]'t'[/tex] to meet each other.
Speed of first train = 90 mph
Speed of second train = 80 mph
Let distance traveled by first train = [tex]D_1[/tex] miles
Formula for distance:
[tex]Distance = Speed \times Time[/tex]
Distance traveled by first train, [tex]D_1 = 90t[/tex]
Let distance traveled by first train = [tex]D_2[/tex] miles
Formula for distance:
[tex]Distance = Speed \times Time[/tex]
Distance traveled by first train, [tex]D_2 = 80t[/tex]
Total distance traveled is 306 miles.
i.e.
[tex]D_1+D_2=306\\\Rightarrow 90t +80t=306\\\Rightarrow 170t=306\\\Rightarrow t =\dfrac{306}{170}\\\Rightarrow \bold{t=1.8\ hr}[/tex]
They will meet in 1.8 hours.
Solve using zero product property: 2x^2-5x-6=0
Answer:
x = (5 + √73) / 4 or (5 - √73) / 4
Step-by-step explanation:
2x² - 5x - 6 = 0
x = [5 ± √(25 - 4(2)(-6)] / 2(2)
x = [5 ± √(25 + 48)] / 4
x = [5 ± √(73)] / 4
x = (5 + √73) / 4 or (5 - √73) / 4)
I need help solving these
1. 1. Vocabulary What does the exponent in the expression [tex]5^{6}[/tex] tell you?
Answer: it means that [tex]5[/tex] is multiplied by itself [tex]6[/tex] times: [tex]5^{6} =5*5*5*5*5*5=15625[/tex]
1. 2. [tex]4*4=4^{2}=16[/tex]
The power is [tex]2[/tex] or square, notice how the geometric model is made out of dots forming a flat square.
1. 3. [tex]2*2*2*2=2^{3} =8[/tex]
The power is [tex]3[/tex] or cube, notice how the geometric model is a cube.
1. 4. [tex]9*9=9^{2}=81[/tex]
The power is [tex]2[/tex] or square, notice how the geometric model is a flat square.
2. 5. [tex]7^{2} =49[/tex]
2. 6. [tex](-2)^{4} = -2*-2*-2*-2=4*4=16[/tex]
2. 7. [tex](-2)^{5} =16*-2=-32[/tex]
2. 8. [tex]-(\frac{1}{2})^{4}=-(\frac{1^{4} }{2^{4}})=-(\frac{1}{16})=-\frac{1}{6}[/tex]
3. 9. [tex]81=9^{x}, \frac{81}{9} = 9,9*9=9^{2}[/tex]
3. 10. [tex]100000=10^{x} , \frac{100000}{10} =10000, \frac{10000}{10}=1000, \frac{1000}{10}=100, \frac{100}{10}=10,[/tex]
[tex]10*10*10*10*10=10^{5}[/tex]
3. 11. [tex]-64 = -4^{x}, \frac{-64}{-4}=16, \frac{16}{-4}=-4, -4*-4*-4=-4^{3}[/tex]
3. 12. [tex]10 = 10^{x}, \frac{10}{10}=1, 10*1=10 =10^{1}[/tex]
3. 13. [tex]81 =3^{x}, \frac{81}{3}= 27,\frac{27}{3}=9, \frac{9}{3}=3, 3*3*3*3=3^{4}[/tex]
3. 14. [tex]36=-6^{x} , \frac{36}{-6}= -6, -6*-6=(-6)^{2}[/tex]
4. 15. Technology First week => [tex]3[/tex] hits, every week => the number of hits triples, means [tex]3^{3}[/tex], 5th week => hits every week * 5 = [tex]3^{3}*5=27*5=135[/tex] hits.
I apologize if there's any misspelling or wrong answer.
Which of the following is most likely the next step in the series?
Answer:
I'm going to say A
Step-by-step explanation:
For sure the next would be blue but this is just my guess.
The most likely next step in the series is Option A, where a blue ray is added 90 degrees to the left along with the existing rays.
It appears that the pattern involves adding a ray 90 degrees to the left and alternating colors between red and blue. The first figure is a 180 degrees line with arrows on both sides of red color.
Based on this pattern, the most likely next step would be to add a blue ray 90 degrees to the left, while keeping the existing rays and alternating colors. Therefore, the next step would be Option A, where the figure is blue in color with a ray added to the left along with the already present rays.
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What is 1/3
written in decimal form?
A. 0.3
B. 0.3
Ο Ο Ο
C. 0.33
OD. 0.35
Answer:
C. 0.33
Step-by-step explanation:
Answer:
0.3
.
.
.
.
Step-by-step explanation:
yea yea yea yea yea
A 0.05-kg car starts from rest at a height of 0.95 m. Assuming no friction, what is the kinetic energy of the car when it reaches the bottom of the hill? (Assume g = 9.81 m/s2.) i dont understand can i get some help?
Answer:
The kinetic energy of the car is 0.466 J
Correct Answer: A. 0.466 J Explanation: If there is no friction, all of the gravitational potential energy of the car at the top of the hill will be converted to kinetic energy at the bottom of the hill. The potential energy of the car is equal to the product of its mass, height, and gravitational acceleration.0.05 kg • 0.95 m • 9.81 m/s2 = 0.466 J.
Find the area of the shape shown below.
Answer:
8
Step-by-step explanation:
Area of a trapezoid can be found using the following formula:
A= base 1 + base 2 / 2 times the height
plug it in
A= 6 + 2/2 times 2
A= 8
24 A transformation maps A(-1, -2), B(3, 4), and C(2, 4) onto A (3,-4),
B'(7, 2), and C (6, 6). Determine if the transformation is a translation.
Choose all that apply.
vbs, all pairs of corresponding points have moved in the same direction
by the same distance.
No, one or more pairs of corresponding points have not moved the
same distance.
No, one or more pairs of corresponding points have not moved in the
same direction.
Solve it
Answer:
Hey there!
No, one or more pairs of corresponding points have not moved the
same distance.
Let me know if this helps :)
easy 10 points and brainliest :)
Answer:
x < 0 , y > 0
Step-by-step explanation:
In quadrant II, the x variable is less than 0 and the y variable is greater than 0
x < 0 , y > 0
Answer:
x < 0 and y > 0
Step-by-step explanation:
Quadrant II is the upper left quadrant.
In that quadrant, all x values are negative since it's to the left of the y-axis.
In that quadrant, all y values are positive since it's above the x-axis.
Answer: x < 0 and y > 0
solve for h S=2πr2+2πrh
Answer:
[tex]h = \frac{S - 2\pi r ^{2} }{2\pi r} [/tex]Step-by-step explanation:
S = 2πr² + 2πrh
To solve for h move 2πr² to the other side of the equation
That's
2πrh = S - 2πr²
Next divide both sides by 2πr in order to isolate h
That's
[tex] \frac{2\pi rh}{2\pi r} = \frac{S - 2\pi r ^{2} }{2\pi r} [/tex]We have the final answer as
[tex]h = \frac{S - 2\pi r ^{2} }{2\pi r} [/tex]Hope this helps you
Evaluate the expression. 7⋅4+6−12÷4
Answer:
31
Step-by-step explanation:
Answer: 31
Step-by-step explanation:
1. Multiply 28+6-12/4
2. Divide 28+6-3
3. Add 34-3
4. Subtract 31
What single transformation was applied to triangle A to get triangle B? A) Translation B) Rotation C) Reflection D) Dilation
Answer: D
Step-by-step explanation:
7. Ray collects cars and trucks. Over the years, the number of cars he collected is 8 less than twice
the number of trucks. If he has a total of 43 cars and trucks, how many trucks does Ray have?
Answer: Ray has 17 trucks .
Step-by-step explanation:
Let x = number of cars
y = number of trucks
As per given
x+y= 43 (i)
2y-8=x (ii)
We can rewrite (ii) as
x-2y= -8 (iii)
Subtracting (iii) from (i), we get
y- (-2y)= 43- (-8)
⇒ y+2y= 43+8
⇒ 3y=51
Divide both sides by 3
⇒ y = 17
Now, put this in (ii), we get
x= 2(17)-8=34-8 =26
Hence, Ray has 17 trucks and 26 cars.
IS TODAY MONDAY? IF SO WHAT IS TODAY'S DATE?
Answer:
yes it is August 24, 2020
Step-by-step explanation:
please give brainiest
Answer:
Step-by-step explanation:
today is Monday August 24th 2020
A hot air balloon is flying above Groveburg. To the left side of the balloon, the balloonist measure the angle of depression to the Groveburg soccer fields to be 20° 15'. To the right side of the balloon, the balloonist measures the angle of depression to the high school football field to be 62° 30'. Find the distance from the balloon to the soccer fields
Answer:
Solution : 3.6 miles
Step-by-step explanation:
The first step in solving this problem is to convert 15' to degrees --- (1) . 15' is represented as 15 minutes, so to convert to degrees we have 15 / 60 = 0.25°. Adding 20 + 15' we should get 20 + 0.25 = 20.25 (degrees).
Now remember that on the right side we have the football field, 62° 30'. Let's convert that 30' into degrees --- (2). 30 / 60 = 0.5, and 62 + 0.5 = 62.5.
Using both this information we can calculate the angle from the balloon to the horizontal. That would be 180 - 20.25 - 62.5 = 97.25°. Therefore the distance from the balloon to the soccer fields would be as follows,
distance / sin(62.5) = 4 / sin(97.25)
Let distance = x ...
x / sin(62.5) = 4 / sin(97.25),
x / 0.88701083317 = 4 / 0.99200494968,
x * 0.99200494968 = 4 * 0.88701083317,
x * 0.99200494968 = 3.548,
x = ( About ) 3.5766 miles
Given the options the distance from the balloon to the soccer fields would be 3.6 miles.
Which of these questions are true or false?
Answer:
1. False
2. True
3. True
4. True
Step-by-step explanation:
The chart below shows conversion between kilometers and miles.
Conversion Chart
Kilometer
2
Miles
1.2
4.2
7
20
?
30
18
What is the missing value in the table?
06
05.4
O 11.1
12
Answer:
12 (D)
Step-by-step explanation:
The first one is 2:1.2 so i did x10 on it to get 20:12.
The missing value in the table is 12 miles.
Option D is the correct answer.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Example:
1 hour = 60 minutes
1 km = 1000 m
1 minute = 60 seconds
We have,
Kilometer Miles
2 1.2
7 4.2
20 12
30 18
We see that,
2 km = 1.2 miles
Multiply 7/2 on both sides.
7 km = 7/2 x 1.2 miles
7 km = 4.2 miles
Multiply 20/ 7 on both sides.
20 km = 12 miles
Thus,
20 km is 12 miles.
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PLEASE ANSWER THIS QUESTION FAST MY TEST IS GOING I WILL MARK YOU THE BRAINLIEST PLEASE ANSWER FAST ITS URGENT....
Answer:
I think C 130 probably wrong
Answer:
130 degrees
Step-by-step explanation:
Since there are vertical angles 2x and 3x-50 are the same. So you would do 2x=3x-50. The picture below shows how I got x=50. SO now you know x=50, it's important to remember that line AC equals 180 degrees. So what you nees to do is 180-50 to get what y equals. y should equal 130 degrees.
what is - 5у - 25 = -40
Answer:
x=4
-5y+8x=-18
linear combination:
cancel out -5y with 5y. combine 8x and 2x
5y+2x=58
10x. combine -18 and 58 to get 40
10x=40
40/10=4
So that means..x=4
-----
Hope this helps!! - Maddy
(if this helps please make brainliest, rate, and thank so I know how I did!)
╰(*°▽°*)╯
Answer:
[tex] \boxed{ \huge{ \bold{ \boxed{ \sf{y = 3}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 5y - 25 = - 40}[/tex]
Move 25 to right hand side and change it's sign
⇒[tex] \sf{ - 5y = - 40 + 25}[/tex]
Calculate
⇒[tex] \sf{ - 5y = - 15}[/tex]
Divide both sides of the equation by -5
⇒[tex] \sf{ \frac{ - 5y}{ - 5} = \frac{ - 15}{ - 5} }[/tex]
Calculate
⇒[tex] \sf{y = 3}[/tex]
Hope I helped!
Best regards!!
What is nine more than a number y, if that number is 4? Evaluating Algebraic Expressions
Answer:
13
Step-by-step explanation:
9 more than a number y is
y + 9
If the number y is 4, then you have
4 + 9 = 13
The expression is y +9 and the evaluation is 13.
What is addition?Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.
Let y be the required number.
According to question,
the algebraic expression
y + 9
Here, y =4
Then y + 9
= 4 +9
= 13
Therefore, the expression is y +9 and the evaluation is 13.
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f(3)=7 what number is the x value
Answer: f=7/3
Step-by-step explanation:
f(3)=7
Step 1: Simplify both sides of the equation.
3f=7
Step 2: Divide both sides by 3.
3f/3=73
f=7/3
how to do this question plz
Answer:
Nerh they are not enough
Step-by-step explanation:
Depending on the number of people you want to sit at each table.
To avoid compression add more tables