Given:
3 qt/min
To find:
The conversion of 3 qt/min to gallons per hour.
Solution:
We know that,
1 quart = 0.25 gallons
60 minutes = 1 hour
1 minute = [tex]\dfrac{1}{60}[/tex] hour
Using these conversions, we get
[tex]3 \dfrac{qt}{min}=\dfrac{3\times 0.25}{\dfrac{1}{60}}\ \dfrac{gal}{h}[/tex]
[tex]3 \dfrac{qt}{min}=3\times 60\times 0.25\ \dfrac{gal}{h}[/tex]
[tex]3\ qt/min=45\ gal/h[/tex]
Therefore, the correct option is A.
In an
ecosystem, marsh snails feed
on phytoplankton and painted turtles
feed on marsh snails. Pollution has resulted in the depletion of
phytoplankton. What effect would this situation likely have on the populations
of marsh snails and painted turtles?
Answer:
decrease/decrease.
Step-by-step explanation:
both will decrease in quantity due to lack of food from the primary producer. Once the prey reduces, it affects the population of the predator.
Ann runs a day care center. Of the last 18 children to enroll at the day care center, 8 of them have been elementary school students. Considering this data, how many of the next 9 children to enroll should you expect to be elementary school students?
We would expect that 4 of the next 9 children to enroll will be elementary school students.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
If 8 out of the last 18 children to enroll at the daycare center were elementary school students,
We can find the fraction of elementary school students in that group by dividing the number of elementary school students by the total number of children:
= 8/18
= 4/9
This means that 4 out of every 9 children enrolled were elementary school students.
If we want to predict how many of the next 9 children to enroll will be elementary school students,
We can use this ratio:
4/9 of 9 children
= (4/9) x 9
= 4
Therefore,
We would expect that 4 of the next 9 children to enroll will be elementary school students.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ3
6c^2 - 5d + 8 when c =5 and d=4
Answer:
138
Step-by-step explanation:
First, we can simply replace the variables with their numerical values.
Whenever you see a number with a letter (variable) in front of it, this means to multiply.
c=5 and d=4
6 × 5^2 - 5 × 4 + 8
Since there are multiple operations in this expression, we must use PEMDAS.
ParenthesisExponentiation (exponents)Multiplication/Division (Solve whichever comes first)Addition/Subtraction (Solve whichever comes first)--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Now, we can apply the operations.
There are no parenthesis.
In this expression, exponents are present.
6 × 5^2 - 5 × 4 + 8
6 × 25 - 5 × 4 + 8
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
There is multiplication.
6 × 25 - 5 × 4 + 8
150 - 5 × 4 + 8
150 - 20 + 8
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
There is subtraction.
150 - 20 + 8
130 + 8
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
There is addition.
130 + 8
158
Therefore, 6 × 5^2 - 5 × 4 + 8 = 138.
Part B:
Louis wants to buy skis that have a regular price of $328. They have been marked down 25% off the regular price. Louis calculates the new total price including tax.
How much money will Louis save on the total cost because of the markdown?
Answer:
Part ACalculate sale price and add sales tax:
20% off $339 add tax ⇒ $339*0.8*1.085 = $294.25 ≤ $30015% off $310 add tax ⇒ $310*0.85*1.085 = $285.90 ≤ $30025% off $365 add tax ⇒ $365*0.75*1.085 = $297.02 ≤ $30020% off $300 add tax ⇒ $300*0.8*1.085 = $260.40 ≤ $300Each price is acceptable as less than $300
Part BMarkdown with tax added:
25% off $328 add tax ⇒ $328*0.75*1.085 = $266.91Without discount, the price with the tax added:
$328*1.085 = $355.88The difference is the amount Luis has saved:
$355.88 - $266.91 = $88.97If line segment AB,A(9,3) and B(-6,-9), what scale factor was used to dilate if new line is at A'(3,1) and B'(-2,-3)?
Answer:
The scale factor is 1/3
Step-by-step explanation:
Here, we want to get the scale factor used in dilating the original segment
As we can see;
(9,3) turned to (3,1)
looking at this , we can see that both coordinate values were divided by 3
So what this mean is that the particular scale factor used is reduction by 1/3
This is the case with the other point as (-6,-9) turned to (-2,-3)
Given the matrices AA and BB shown below, find A-B.A−B. A=\begin{bmatrix} 3 \\ 0\end{bmatrix}\,\,\,\,B=\begin{bmatrix} -1 \\ 0\end{bmatrix} A=[ 3 0 ]B=[ −1 0 ]
Answer:
[4 0]
Step-by-step explanation:
Given that:
[tex]A=[3\ \ 0], B=[-1\ \ 0][/tex]
Matrices is an array of numbers, symbols and expressions arranged in rows and columns. Matrices can be used to solve system of equations. Many mathematical operations can be done on matrices such as addition, subtraction, multiplication, scalar multiplication and so on.
Addition and subtraction of two matrices can be done if they have the same dimensions. This is done by simply adding or subtracting the corresponding entries in matrices.
[tex]A=[3\ \ 0], B=[-1\ \ 0]\\\\A-B=[3-(-1) \ \ 0-0]=[4\ \ 0][/tex]
Find the measure of the indicated angle to the nearest degree.
Given:
A right triangle with legs 5 units and 6 units.
To find:
The measure of angle opposite of side whose length is 5 units.
Solution:
In a right angle triangle,
[tex]\tan \theta=\dfrac{Opposite}{Adjacent}[/tex]
Let [tex]\theta [/tex] be the missing angle. Then, for the given triangle,
[tex]\tan \theta=\dfrac{5}{6}[/tex]
[tex]\theta=\tan^{-1}\dfrac{5}{6}[/tex]
[tex]\theta=39.805571^\circ[/tex]
Round the value to the nearest degree.
[tex]\theta\approx 40^\circ[/tex]
Therefore, the measure of the required angle is 40 degrees.
A painting is going to be reprinted as posters. The dimensions of the painting are 3/4 of a yard to and 1/2 of a yard wide, The poster company is trying to determine how big to make the poster For each yard of width, how many yards of height are needed??
Answer:
3/8 yards
Step-by-step explanation:
3/4 yard tall and 1/2 yard wide
Multiply the two fractions
3/4 (1/2)
= 3/8 yards
If the width of the rectangular painting is one unit then the height of the painting will be 3/8 yards. Then the correct option is A.
What is a rectangle?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.
A painting is going to be reprinted as a poster.
The dimensions of the painting are 3/4 of a yard and 1/2 of a yard wide.
The poster company is trying to determine how big to make the poster For each yard of width,
Let h be the height of the poster. Then we have
[tex]\rm h \times 1 = \dfrac{3}{4} \times \dfarc{1}{2}\\\\h \ = \dfrac{3}{8}[/tex]
If the width of the rectangular painting is one unit then the height of the painting will be 3/8. Then the correct option is A.
More about the rectangle link is given below.
https://brainly.com/question/10046743
EASY- Han has to build the figure below, which will serve as a counterweight, for his robotics project. Find the VOLUME of the finished object assuming it is empty inside.
Given:
A combined figure of a triangular prism and a cuboid.
To find:
The volume of the finished object assuming it is empty inside.
Solution:
From the given figure it is clear that the dimensions of the cuboid are 6 cm, 8 cm and 5 cm.
So, the volume of the cuboid is:
[tex]V_1=length\times width\times height[/tex]
[tex]V_1=6\times 8\times 5[/tex]
[tex]V_1=240[/tex]
The volume of the cuboid is 240 cubic cm.
The area of a triangle is:
[tex]Area=\dfrac{1}{2}\times base\times height[/tex]
Thus, the base area of the triangular prism whose base is 8 cm and height 4 cm, is:
[tex]B=\dfrac{1}{2}\times 8\times 4[/tex]
[tex]B=16[/tex]
The volume of a triangular prism is:
[tex]V_2=Bh[/tex]
Where, B is the base area and h is the height of the prism.
The base area of the triangular prism is 16 square cm and the height is 5 cm. So, the volume of a triangular prism is:
[tex]V_2=16(5)[/tex]
[tex]V_2=80[/tex]
Now, the volume of the given figure is:
[tex]V=V_1+V_2[/tex]
[tex]V=240+80[/tex]
[tex]V=320[/tex]
Hence, the volume of the finished object is 320 cubic cm.
The eastbound train travels 10 miles per hour faster than the westbound train. After 2 hours, they are 232 miles apart. At what speeds are the two trains traveling?
Answer:
48,58
Step-by-step explanation:
Let The speed of the west bound train be x
Let the east bound train be x+10
The speeds can be calculated as follows
2(2x+10)= 232
4x + 40= 232
4x= 232-40
4x= 192
x= 192/4
= 48
Hence the speedof the west bound train is 48
The speed of the east bound train is 48+10
= 58
7 2/5 - 3 1/8=
Another one
Answer:
The answer is 4.725
Step-by-step explanation:
Answer:
4.725 is the correct answer
Step-by-step explanation:
How do I give Brainlest
Answer:
Press the crown button
Step-by-step explanation:
Anybody know how to read those scales with a top and bottom line with a ruler at the bottom?
can u tell me how lol
Answer:
Step-by-step explanation:
go to you.tube and put 5t-fJ6w7QtY in it this might be able to help!
Which of the following transformations does not
preserve congruence?
F. (x,y) → (-x, -Y)
G. (x, y) = (-y, -x)
H. (x, y) = (x + 9.y + 9)
J. (x,y) → (9x, 9y)
Answer:
(9x, 9y) dilation
Step-by-step explanation:
(9, 9y) is the answer because F is 180 degrees rotations, G is not real, H is translations, and J is dilations and dilations is multiplying which makes the transformation non congruent.
Your welcome
state the angle pair relationship then find the value of x
Answer:
x = 11
Step-by-step explanation:
The given angles are corresponding angles and are congruent, then
12x - 9 = 10x + 13 ( subtract 10x from both sides )
2x - 9 = 13 ( add 9 to both sides )
2x = 22 ( divide both sides by 2 )
x = 11
Miesha has 3 red pens and 2 black pens in her pencil case. If she selects two pens without looking what is the probability that:
The first one will be black
The first will be black and the second will be black
Answer:
the first one ill be black i think
Step-by-step explanation:
she has more red so the first will probably be black and the other will be red your welcome and have a nice day/night
Find two numbers that meet the requirements of the situation in each question. Put the smaller of the two numbers in the first blank and the larger of the two numbers in the second blank.
Multiply to give you 24 and add to give you -10.
Answer:
-6, -4
Step-by-step explanation:
-6 x -4 = 24
-6 + -4 = -10
Answer:
-6 and -4
Step-by-step explanation:
two negs multiplied =positive
two negs added = negative
my grades not looking to well if you guys can help me with some problems i will give points and brainliest i need this problem and a few more done
Answer:
8 unitsStep-by-step explanation:
Parallel lines cut the transversals into proportional segments:
ST / UT = SR / QRST / 16 = 18/ 36ST / 16 = 1/2ST = 16/2ST = 8ST be x
Apply Thales theorem
x/16=18/36=1/2x=16/2ST=8unitwNevaeh went shopping for a new phone because of a discount sale. She multiplied the price of the phone by 0.95 to find the price she would actually have to pay, before tax. What percent discount is the sale?
Answer:
95% off
Step-by-step explanation:
because the percent u times by the actual price is the percent u have off
Write the product using exponents. (1/3.(1/3)(1/3) Using exponents, the product is
Answer:
The answer is 1/3 to the power of 3
Step-by-step explanation:
Damon buysabaseballhelmetonlinefor$16.Ifshippingandhandlingareanadditional20%oftheprice,howmuchshippingandhandlingwillDamonpay?
16x0.2=3.2
16+3.2=19.2
So the price is $19.20
Juana went to a restaurant and bought 6 cheeseburgers and 4 orders
of fries and spent a total of $26. Write an equation for the scenario where
C is the price of cheeseburgers and Fis the price of fries she bought.
Answer:
6c + 4f = 26
Step-by-step explanation:
20 POINTS!!!!
Jacob deposits $60 into an investment account with an interest rate of 4%, compounded annually. The equation,
y = 60(1 + 0.04)x, can be used to determine the number of years, x, it takes for Jacob's balance to reach a certain amount of money, y. Jacob graphs the relationship between time and money.
1. What is the y-intercept of Jacob's graph?
2. If Jacob doesn't deposit any additional money into the account, how much money will he have in eight years? Round your answer to the nearest cent.
Answer:
1. 60 is his y-intercept
2. $82.11 in his account after 8 years
Answer:
The y-intercept of Jacob's graph is $60, which represents the initial amount of money he deposited into the account.
If Jacob doesn't deposit any additional money into the account, the amount of money he will have in eight years can be found by plugging in x=8 into the equation y = 60(1 + 0.04)^x and evaluating:
y = 60(1 + 0.04)^8
y ≈ $82.08
So the answer to the second question is that Jacob will have approximately $82.08 in the account after eight years, assuming he doesn't deposit any additional money into the account.
Hope this helps,
Ariana :)
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
35
Step-by-step explanation:
Rows: 7+7+7+7+7=35
Columns: 5+5+5+5+5+5+5=35
Why is 24lb greater than 124oz?
Answer:
1lb= 16oz
24(16)= 384
24lb= 384oz
Step-by-step explanation:
24lb is greater than 124oz after you convert the pounds to oz
if i'm correct please mark me as brainliest
What's the answer to this problem?
Answer:
no real solutions
Step-by-step explanation:
- Rewrite equations:
y=3x−11;−3x+y=−13
Step: Solvey=3x−11 for y:
y=3x−11
Step: Substitute 3x−11 for y in−3x+y=−13:
−3x+y=−13
−3x+3x−11=−13
−11=−13(Simplify both sides of the equation)
−11+11=−13+11(Add 11 to both sides)
0=−2
Answer:
No solutions.
The ratio of two numbers is 8: 5. Their sum is 91. What is the
greater number?
Answer:
Step-by-step explanation:
a:b = 8:5
a = 8x, b= 5x
a+b = 91
13x = 91
x = 7
a=8x = 56
b = 5x = 35
The larger number is 56
5x+1/4=15 1/4 what is the value of x
Answer:
3
Step-by-step explanation:
5x3=15+1/4= 15 1/4
hope this helps
Answer:
x=3
Step-by-step explanation:
THIS IS THE QUESTION I NEED HELP WITH! PLEASE HELP!!! MATH EXPERTS
Answer:
surface area is 408cm^2
Step-by-step explanation:
i dont know how to find the volume
Please help... Geometry
Answer:
i cant load the picture
Step-by-step explanation:
Answer:
[tex] \bold{a) \: BC} \: = \bold{ \boxed{13 \sqrt{2} }}[/tex]
[tex] \bold{b) \: x = 7}[/tex]
[tex] \large{ \mathbb{ \purple{hope \: it \: helps}}}[/tex]