One Foot: 12 inches
One Yard: 3 Feet
3 x 12 = 36 inchest
One Yard: 36 inches
36 x 2 = 72
Therefore there are 72 inches in 2 yards.
Daria has 8 pages in her scrapbook. There are 4 pictures
on each page. How many pictures are in her scrapbook?
Answer:
32
Step-by-step explanation:
Since Daria has 8 pages with 4 pictures on each page, you have to multiply 8 by 4.
8 × 4 = 32
There are 32 pictures.
.
Solve the system using elimination.
x-3y = -9
- x + 5y = 17
PRESENTER
THE
The solution is
(Simplify your answer. Type an ordered pair.)
help plz it’s systems of equations
Answer:
The answer is x=3 and y=4 (3,4).
Answer:
y=4
x=3
Step-by-step explanation:
Add the two equations to eliminate x.
2y=8
y=4
x-3y=-9
x-12=-9
x=3
You post a survey to the school about favorite desserts. Of the 540 students at the school, 60 answered the survey. 15 students said that cookies were their favorite dessert. If all 540 students at the school responded to the survey, how many students would say cookies were their favorite dessert?
Answer:
135
Step-by-step explanation:
1. 540/60=9
2.9×15=135
There are 10 boys in Mr. Lee's class. If 40% of the class are boys, which is the total
number of students in Mr. Lee's class?
Answer:
25
Step-by-step explanation:
if 10=40%what about 100% which is total so you cross multiply and get your answer
There are a total of 25 students in Mr. Lee's class.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, There are 10 boys in Mr. Lee's class and 40% of the class are boys.
let, 'x' be the number of students in the class,
Therefore, 10 is 40% of 'x'.
(40/100)×x = 10.
0.4x = 10.
x = 10/0.4.
x = 25.
So, There are a total of 25 boys in the class.
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a large water tank measures 6 feet across and 4 feet high. it is being filled with water at a rate of 10 gallons per minute. about how many hours will it take to fill the pool if 1 cubic feet of water is about 7.5 gallons? round to the nearest tenth.
At the given rate, it would take 1.2 hours to fill the tank described.
Calculating the VolumeTo find out how many hours it will take to fill the water tank, we need to calculate the volume of the tank and then determine the time it takes to fill it at a rate of 10 gallons per minute.
The volume of the tank can be calculated using the formula for the volume of a rectangular prism.
length x width x height:Volume = 6 feet x 4 feet x 4 feet = 96 cubic feet
Convert this volume to gallons, knowing that 1 cubic foot is about 7.5 gallons:
96 cubic feet x 7.5 gallons/cubic foot ≈ 720 gallonsSo, the tank has a capacity of approximately 720 gallons.
To find the time it takes to fill the tank at a rate of 10 gallons per minute:
Time (minutes) = Volume (gallons) / Rate (gallons per minute)
Time (minutes) = 720 gallons / 10 gallons per minute = 72 minutes
Now, to convert this to hours, divide by 60 (since there are 60 minutes in an hour):
Time (hours) = 72 minutes / 60 minutes per hour ≈ 1.2 hours
Rounded to the nearest tenth, it will take about 1.2 hours to fill the water tank.
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To determine the time to fill the tank, calculate the tank volume in cubic feet, convert that to gallons, and then divide by the rate of water flow and 60 to get the time in hours.
Explanation:To determine how long it will take to fill the tank, we first need to calculate the volume of the tank in cubic feet. The tank is shaped like a cylinder, so the volume V of a cylinder is given by V = πr²h, where r is the radius and h is the height. In this case, the tank has a radius of 3 feet (half of the 6 feet diameter) and a height of 4 feet, so V = π(3)²(4) = π(9)(4) = 36π cubic feet.
Next, we need to consider that 1 cubic foot is equivalent to 7.5 gallons of water. Therefore, the tank capacity in gallons is 36π * 7.5.
We are told the tank is being filled at a rate of 10 gallons per minute. To determine how long it will take to fill the tank, we divide the total number of gallons the tank holds by the rate at which the tank is being filled. This will give the total time in minutes. To convert this time to hours, we then divide by 60, as there are 60 minutes in an hour.
So, the number of hours to fill the tank is (36π * 7.5) / 10 / 60, rounded to the nearest tenth.
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Which equation represents the graph below?
y = 3x - 2
y = -2x + 3
y=3x-2
y = 2x + 3
Answer:
add the graph next time
Step-by-step explanation:
Quadrilateral BCDE is inscribed in circle A as shown. divides the quadrilateral into two triangles, ∆BCD and ∆BED. Which statement is true about the triangles?
Answer: If a translation of t-3,-8(x, y) is applied to square abcd what is the y-coordinate of b'? the y-coordinate of is 43 mark this and return save and exit next submit
Answers: 1
Step-by-step explanation:
Find the interest on $5,200 at 6% for 2 and a half years. Which of the following equations would be used to solve this problem?
Answer:
$5,843 or $642
Step-by-step explanation:
At the end of 2 years, your savings will have grown to $5,842.
You will have earned in $642 in interest.
Answer:
(5200×.06) 2.5
Step-by-step explanation:
this would be the equation
pls help! will give brainlist!
which triangle is possible?
Answer:
The top triangle.
Step-by-step explanation:
The top triangles numbers are 3,4,5, which is known as a pythagorean triple, which makes a proportionate triangle. There you go! :D
Your water bill lists a previous reading of 5,520 ccf and a present reading of 5,981 ccf. The water company charges $0.93 per ccf of water. How much will you be charged on the current bill?
Answer:
$428.73
Step-by-step explanation:
The previous reading of the water bill is 5,520 ccf and a present reading of 5,981 ccf.
The number of units used is given as the present reading minus the previous reading.
This means that the number of units used is:
5981 - 5520 = 461 ccf
The water company charges $0.93 per ccf of water.
Therefore, the charges on the current bill will be:
0.93 * 461 = $428.73
Two triangles are shown.
al
0
V
V
o
1
*not drawn to scale
/
/
can AA criterion be used to show that A POR-AYZX? Move options to the blanks to complete the proof.
1. Rotate A POR 180° counterclockwise about point to take point P to point
2. Show that the image of side RP aligns with side and the image of side PQ aligns with side
3. Dilate the image of PQR to take the image of point R to point
4. Show that the image of side QR aligns with side
XY
ZX
Answer: from the 2 triangles v and 1 are not correct so it will be option A
Step-by-step explanation:
helppp Me will give brainliest to the first correct answer!!
Answer: 62.4
Step-by-step explanation: just multiplied 2.6 x 3 x 8
Phil's shadow is half as long as Phil is tall. If he were 4 inches taller and his shadow were 3 inches
shorter, his height times his shadow's length would be 100 square inches. How tall is Phil? How
long is his shadow?
Answer:
Phil is 16 inches tall and his shadow is 8 inches tall
Step-by-step explanation:
this is an algebra word problem.
1. Find the unknown and label it x.
Let Phil's shadow be x inches.
2. find other unknown quantities and define them with
Phil's height= 2x (phil is shadow is half as long as Phil is tall)
3. FInd the equation
if he was 4 inches taller (2x+4)
and his shadow was three inches shorter (x-3)
his height ( 2x+4) times the shadow's height (x-3) would be 100 square inches.
(2x+4) ×(x-3)=100
(2x+4)(x-3)=100
this is a quadratic equation and there are a number of ways to solve these. the two main ways are
1. quadratic equation
2. expanding and factorising
3. graphing
we will use 2. expanding and factorising for this problem. We need to make the right hand side = 0 by first factorising then rearranging.
(2x*x)+(2x*-3)+(x*4) +(4*-3)=100
2x^2 -6x+4x-3x-12=100
2x^2 -2x=112
2x^2 -2x-112=0
once factorised take out the common factor of 2
2(x^2-x-56)=0
now factorise what's in the brackets ( two numbers multiply to make 56 but add to make -1.
2(x-8)(x+7)=0
x-8=0 => x=8
x+7=0 x=-7 not possible
the shadow is 8 inces long. Phil is 16 inches tall.
Hope this is of help :)
Phil's height is 16 inches, and the length of his shadow is 8 inches.
To solve the problem, we will let Phil's height be denoted by h (in inches) and the length of his shadow be s (in inches).
1. Phil's shadow is half as long as Phil is tall.
2. If Phil were 4 inches taller and his shadow were 3 inches shorter, the product of his height and his shadow's length would be 100 square inches.
From the first condition:
[tex]\[ s = \frac{h}{2} \][/tex]
From the second condition, we can write the equation involving the modified height and shadow:
[tex]\[ (h + 4) \times (s - 3) = 100 \][/tex]
Next, substitute [tex]\( s = \frac{h}{2} \)[/tex] into the equation:
[tex]\[ (h + 4) \times \left(\frac{h}{2} - 3\right) = 100 \][/tex]
Simplify inside the parentheses:
[tex]\[ (h + 4) \left(\frac{h - 6}{2}\right) = 100 \][/tex]
Multiply both sides by 2 to eliminate the fraction:
[tex]\[ 2(h + 4) \left(\frac{h - 6}{2}\right) = 2 \times 100 \][/tex]
[tex]\[ (h + 4)(h - 6) = 200 \][/tex]
Expand the left-hand side:
[tex]\[ h^2 - 6h + 4h - 24 = 200 \][/tex]
[tex]\[ h^2 - 2h - 24 = 200 \][/tex]
Move 200 to the left side to set the equation to zero:
[tex]\[ h^2 - 2h - 224 = 0 \][/tex]
Now, we solve the quadratic equation using the quadratic formula [tex]\( h = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \) where \( a = 1 \), \( b = -2 \), and \( c = -224 \):[/tex]
[tex]\[ h = \frac{-(-2) \pm \sqrt{(-2)^2 - 4(1)(-224)}}{2(1)} \][/tex]
[tex]\[ h = \frac{2 \pm \sqrt{4 + 896}}{2} \][/tex]
[tex]\[ h = \frac{2 \pm \sqrt{900}}{2} \][/tex]
[tex]\[ h = \frac{2 \pm 30}{2} \][/tex]
This gives us two potential solutions:
[tex]\[ h = \frac{32}{2} = 16 \][/tex]
[tex]\[ h = \frac{-28}{2} = -14 \][/tex]
Since height cannot be negative, we discard ( h = -14 ).
Thus, Phil's height is:[tex]\[ h = 16 \text{ inches} \][/tex]
Using [tex]\( s = \frac{h}{2} \)[/tex]:
[tex]\[ s = \frac{16}{2} = 8 \text{ inches} \][/tex]
Evaluate 4x-8 for x=3 and for x=4
Answer:
a) 4 ; b) 8
Step-by-step explanation:
4×3-8 = 12-8 = 4
4×4-8 = 16-8 = 8
Answer:
a) 4 ; b) 8
Step-by-step explanation:
Find the linear equation that represents the scenario.
y= 235x + 15
y= 4x + 955
y= 15x + 235
y= 3x + 705
Answer: y=235x+15
Step-by-step explanation:
Answer:
y=235x+15
Step-by-step explanation:
(5) Usain Bolt holds the world record for the 100 meter dash. He ran 100 meters in 9.58 seconds.
Write this as a mixed number
Answer:
100 x 9.58= 958/1
9.58= 9 29/50
Step-by-step explanation:
George rolled four different types of paper into four different cylinders. Identical 10-cm rubber bands were placed around the cylinders to hold the
paper in place. Each number in the answer choices is the diameter of one of the cylinders. Which cylinder has the rubber band with the greatest
elastic potential energy?
A. 05 cm
B. 10 cm
C. 20 cm
D. 25 cm
Answer:
I am doing the same thing and I don't know what it is and I need help..
Step-by-step explanation:
I need help on this one too
Answer:
D
Step-by-step explanation:
[Grade 7 maths]
I really hope I’m correct saying y squared + y is equal to y(2y)
Answer: No, it is equal to y² + y
Step-by-step explanation:
No, you are incorrect.
Lets break it down.
Y squared means y to the power of two, which looks like this:
y²
Then, you have to add a y, so the end result should look like this:
y² + y
The weather report stated that there was a 14
chance of snow on Monday, but Tuesday was less likely to snow. What is a possible probability of snow on Tuesday as a percentage? Enter your answer as a whole number.
Answer:
any whole number between 0 and 14, so 13 would work as a possible solution.
Step-by-step explanation:
0<x<14
100 POINTS! I need a thorough word problem that includes a quadratic formula. PLEASE!!!! I will give brainliest if you provide a clear explanation, as well. I really appreciate it :))
Answer:
Quadratic equations are actually used in everyday life, as when calculating areas, determining a product's profit or formulating the speed of an object. Quadratic equations refer to equations with at least one squared variable, with the most standard form being ax² + bx + c = 0.
Here is an example:
Antoine stands on a balcony and throws a ball to his dog, who is at ground level.
The ball's height (in meters above the ground), xxx seconds after Antoine threw it, is modeled by:
h(x)=-2x^2+4x+16h(x)=−2x
2
+4x+16h, left parenthesis, x, right parenthesis, equals, minus, 2, x, squared, plus, 4, x, plus, 16
What is the height of the ball at the time it is thrown?
____meters
here is another example:
2x2 + 5x + 3 = 0 = In this one a=2, b=5 and c=3
Hope that was helpful.Thank you!!!
Answer:
see below
Step-by-step explanation:
Often, the simplest way to solve "ax2 + bx + c = 0" for the value of x is to factor the quadratic, set each factor equal to zero, and then solve each factor. But sometimes the quadratic is too messy, or it doesn't factor at all, or you just don't feel like factoring. While factoring may not always be successful, the Quadratic Formula can always find the solution.
The Quadratic Formula uses the "a", "b", and "c" from "ax2 + bx + c", where "a", "b", and "c" are just numbers; they are the "numerical coefficients" of the quadratic equation they've given you to solve.
The Quadratic Formula is derived from the process of completing the square, and is formally stated as:
The Quadratic Formula: For ax2 + bx + c = 0, the values of x which are the solutions of the equation are given by:
-b ± [tex]\sqrt{b^2 - 4ac}[/tex]
x = ----------------------------------
2a
what can you tell about the average numbers of dogs treated by each veterinarian in the past year?
Answer:
On average, A New Leash on Life Animal Clinic treats MORE DOGS PER DAY than No Ruff Stuff Animal Hospital.
Step-by-step explanation:
Answer:
On average, A New Leash on Life Animal Clinic treats more dogs per day than No Ruff Stuff Animal Hospital.
Step-by-step explanation:
I took the quiz and got it right
What is the equation of a line whose slope is 9 and y-intercept is (0, -1)?
Answer:
y = 9x -1
Step-by-step explanation:
The slope is 9 and the y intercept ( where x is zero) is -1
We can use the slope intercept form of the equation is
y = mx+b where m is the slope and b is the y intercept
y = 9x -1
Answer:
y=9x-1
Step-by-step explanation:
y=mx+b
m=9
b=-1
Answer: y=9x-1
7. What's the fraction 18/24 reduced
to its lowest terms?
A. 3/4
B. 9/12
c. 18/24
D. 24/18
Answer:A
Step-by-step explanation:
divide top and bottom by 6
Find the volume of this triangular prism if b = 10, h = 6 and L = 11
Answer:
pretty sure its 330 - 10×6÷2=30 × 11? srry if I'm mentally retxrted
PlZZ explain. I"m confused.
How to know if a number that is square rooted is rational or irrational?
Step-by-step explanation:
when you put the number and the square root in the calculator, always at the same time, you should either get a number with a bunch of numbers after the decimal point or not very many. for example, a rational number could be[tex]\sqrt{9[/tex] = 3 where as the numbers could be multiplied (3x3=9). and a irrational number is like [tex]\sqrt{5[/tex] = 2.2360679775, so they cannot be multiplied to get 5. hope this helps!
Spectators at the Super Circus were amazed to watch a cannon shoot a clown 212 feet into a net in 4 seconds. How many feet per second did the clown travel
To determine the clown's travel rate, divide the distance by time, resulting in a speed of 53 feet per second.
The student has asked how many feet per second the clown traveled if he was shot 212 feet into a net in 4 seconds. To find the rate of the clown's travel, we can use the formula for speed which is distance divided by time. So, we would take the total distance traveled, 212 feet, and divide it by the total time it took, which is 4 seconds.
The calculation would be:
Speed = Distance \/ Time
Speed = 212 feet \/ 4 seconds
Speed = 53 feet per second.
Therefore, the clown was traveling at a rate of 53 feet per second.
Ned created a video that was originally 40 minutes
long, but he ended up cutting it by 8 percent. How
long was his video after he cut it?
PLZ HELP HURRYYY
Answer:
36.8 minutes or 36 minutes 48 seconds
Step-by-step explanation:
8 percent of 40 is 3.2
(.08 times 40)
40 minus 3.2 is 36.8 :)
(.8 times 60 is 48)
Answer:
36.8 minutes long
Step-by-step explanation:
8 percent is 3.2
40 - 3.2 = 36.8
56ml is >,<,or = 562cl
Answer:
56 ml < 562 cl
Step-by-step explanation:
56 ml converted into 5.6
562 cl is converted into 5620
use the formula
56 ml / 10 =5.6 ml
or times ten for cl
562 cl X 10= 5620
g(t) = -9t – 4
g(
) = 23
Answer:-23
Step-by-step explanation:
I got it right
4/10 has how many shaded parts as 2/5
Answer:
the same amount
Step-by-step explanation
4/10 half of four is 2
and half of 10 is 5
which is 2/5