Answer:
6, 7
Step-by-step explanation:
6 x 7 = 42
The width of a rectangle is twice as long as the length. if the length is increased by 50% and the width is decreased by 20%, the perimeter becomes 248. find the width and length of the original rectangle.
Answer:
Step-by-step explanation:
The percents here make this more tricky than it originally seems to be. We'll make a table and see where it takes us:
original new
length
width
And we'll fill it in according to our rules given. Starting with the original, we are told that the width is twice as long as the length. We don't know the length, so we'll call that L, and if the width is twice that, the width is 2L:
original new
length L
width 2L
Now here's the tricky part. What I'm going to do is fill in the "new" column with the expressions and then we'll simplify them in the next step.
The length is increased by 50%. So we have 100% of the original length and we are adding another 50% to that:
original new
length L 100%L + 50%L
width 2L
The width is decreased by 20%, so we have 100% of 2L and we are subtracting 20% of 2L from that:
original new
length L 100%L + 50%L
width 2L 100%(2L) - 20%(2L)
And now we'll simplify that "new" column:
original new
length L 150%L = 1.5L
width 2L 80%(2L) = 160%L = 1.6L
Now we're ready for the perimeter part. The formula for the perimeter of a rectangle is P = 2L + 2w, so filling in from our "new" column, since 248 is the perimeter given for AFTER the rectangle's length and width are manipulated:
248 = 2(1.5L) + 2(1.6L) and
248 = 3L + 3.2L and
248 = 6.2L so
L = 40 and that means that w = 80 (because in the "original" column, the width is twice the length)
What is 1/4 0.75 1/3 0.5 greatest to least
Answer:
1/4 = 1 ÷ 4 = 0.251/3 = 1 ÷ 3 ≈ 0.330.750.50.75 → 0.5 → 1/3(0.33) → 1/4(0.25)
Two boys together have $12. One of them has $10 more than the other. How much money does each of them have
The graph f(x) shown below has the same shape as the graph of g(x)=x^2 which of the following is the equation of f(x)
Answer:
Choice D. [tex]F(x)=x^2-4[/tex]
Step-by-step explanation:
Since the graph is translated down 4, it cannot be choice A. or C.Since the graph is concave up, choice B. is ruled out.Leaving choice D. the correct answer.QUESTION 2
In A XYZ, X = 18 cm, y = 14 cm, and z= 17 cm.
Determine the measure of Z to the nearest degree.
a. 66°
b. 63°
c. 57°
d. 60°
Answer:
B: 63
Step-by-step explanation:
Please help with question thank you
Answer:
The answer is 3x=50-10y
The height of a rocket a given number of seconds after it is released is modeled by h (t) = negative 16 t squared + 32 t + 10. What does t represent? the number of seconds after the rocket is released the initial height of the rocket the initial velocity of the rocket the height of the rocket after t seconds The function V(r) = four-thirds pi r cubed can be used to find the volume of air inside a basketball given its radius. What does V(r) represent?
Answers:
t is the number of seconds after the rocket is released
V(r) is the volume of the ball with radius r.
====================================================
Explanation:
There isn't much to say in terms of explanation. These variables are simply definitions.
A hundred chickadees can eat 100 kg of seeds in 100 days. How many kg of seeds can 10 chickadees eat in 10 days?
Answer:
1 kg
Step-by-step explanation:
Number of chickadees = 100
Quantity of seed eaten = 100 kg
Number of days = 100
Quantity of seeds each chickadee eats per day =Number of chickadees ÷ Quantity of seed eaten ÷ Number of days
= 100 ÷ 100 ÷ 100
= 1 ÷ 100
= 0.01 kg of seed
How many kg of seeds can 10 chickadees eat in 10 days?
= Quantity of seeds each chickadee eats per day × number of chickadee × number of days
= 0.01 kg × 10 × 10
= 1 kg
10 chickadees eat 1 kg of seeds in 10 days
Dwight wants to build a new rectangular beet farm, but he is first making a list of items he needs to purchase from the store. Dwight decides he will get 160 feet of
fencing to go around the farm that will have a length of 50 feet.
a. Find the width of the farm that Dwight wants to make. Include units.
b. Dwight decides that he will plant 1 beet seed for every square foot of land in this farm and he does not want to purchase any extra seeds. Exactly how many beet seeds should he purchase? Include units.
Answer:welcome
Step-by-step explanation: sorry I jsit really needed the points
WILL GIVE BRANLIEST AND BE SOOO HAPPY PLEASE HELP!!! 30 POINTS SHARE YOUR SMARTNESS!!
Answer:
s4 = 270
18+36+72+144 = 270
-- convergent sums to a single value
Step-by-step explanation:
The height of a baseball in feet can be found by the equation -4.982 – 20t + 1000. How far has the
baseball traveled at t = 6?
Answer:
875.018
Step-by-step explanation:
To solve this, we must plug in 6 for our t value. So, we have the equation:
-4.982 - 20(6) + 1000
Following the rules of PEMDAS, we have:
-4.982 - 120 + 1000 = 875.018
Find the value of both variables.
[tex] \cos(45) = \frac{5 \sqrt{2} }{x} \\ \frac{1}{ \sqrt{2} } = \frac{5 \sqrt{2} }{x} \\ x = 10 \\ \\ \tan(45) = \frac{y}{5 \sqrt{2} } \\ 1 = \frac{y}{5 \sqrt{2} } \\ y = 5 \sqrt{2} [/tex]
I hope I helped you ^_^
The marked price of a radio was 40% above the cost price. When it was sold allowing 30% discount on it, there was loss of RS. 100. What was the marked price of the radio.
Answer:
7000
Step-by-step explanation:
70/100 * marked price = original price - 100
marked price = 140/100* og price
70/100 * 140/100 * og price = original price - 100
49/50 * og price = orignal price - 100
1/50 of original price = 100
orignal price = 5000
marked price = 140/100 * 5000 = 7000
Find the value of m.
A. 7
B. 2
C. 42
D. 14
Answer:
A. 7
Step-by-step explanation:
3m + 21 = 6m
Move variables to one side to get:
3m + 21 = 6m
-3m -3m
21 = 3m
Then isolate variable by dividing by 3
21/3 = 3m/3
m = 7
Choice A is the correct answer
in how many ways can alice give 12 apples to 3 children
Answer:
Step-by-step explanation:
give four apples to each child because 12/3 is 4
Answer:
91
Step-by-step explanation:
help me please to solve this 2 questions pleasee faster.. i will mark you as brainliest
Answer:
1. x=72, y=, 108
2.x=30, y=72
Step-by-step explanation:
Brainliest please~
The length of a rectangular playing field is 5m longer than its width. If the perimeter of the field is 150m,find it's width
Answer:
35
Step-by-step explanation:
Make equations, l = w+5 and 2l + 2w = 150
Substitute w+5 into 2l + 2w = 150
Simplify to get 4w + 10 = 150
Subtract 10 from both sides to get 4w = 140
Divide both sides by 4 and you get 35 as width
Answer:
The width of the field is 35 meters.
Step-by-step explanation:
Recall that the perimeter of a rectangle is given by:
[tex]\displaystyle P = 2(w+\ell)[/tex]
Where w is the width and l is the length of the rectangle.
We know that the perimeter is 150 meters. Thus:
[tex]150=2(w+\ell)[/tex]
Divide both sides by two:
[tex]75=w+\ell[/tex]
We are given that the length is five meters longer than the width. So:
[tex]\ell = w+5[/tex]
Substitute:
[tex]75=w+(w+5)[/tex]
Combine like terms:
[tex]75=2w+5[/tex]
Subtract five from both sides:
[tex]70=2w[/tex]
And divide both sides by two. Hence:
[tex]w=35[/tex]
Thus, the width of the rectangular field is 35 meters.
Express 3.023 in P form where p and q are integers and q= 0 D
Given:
The number is 3.023.
To find:
The given number in the form of [tex]\dfrac{p}{q}[/tex], where [tex]q\neq 0[/tex].
Solution:
The given number is 3.023. It can be written as:
[tex]3.023=3.023\times \dfrac{1000}{1000}[/tex]
[tex]3.023=\dfrac{3023}{1000}[/tex]
It cannot be simplified further because 3023 and 1000 have no common factors.
Therefore, the given number 3.023 can be written as [tex]\dfrac{3023}{1000}[/tex].
Enter the coordinates of the point
on the unit circle at the given angle. 0°
The points are ( 1,0) (0,1) .
The coordinates of the point on the unit circle -The coordinates for the points lying on the unit circle and also on the axes are (1,0), (–1,0), (0,1), and (0,–1). These four points (called intercepts) are shown here. When you square each coordinate and add those values together, you get 1. They're the sine and cosine values of the most common acute-angle measures.a.) We seek the coordinates on the unit circle that represent an angle of 0 degrees.
The points on the unit circle are often provided by,
( cosθ, sinθ )
In order to do so,
θ= 0
to acquire,
(cos(0),sin(0))
(1,0)
b. With regard to the location on the unit circle where the angle is 90 degrees,
We swap out
θ = 90
to acquire,
(cos(90),sin(90))
This is condensed to, (0,1)
Learn more about the coordinates of the point on the unit circle brainly.com/question/10169163
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Answer: 1,0
is the actual answer
Help,anyone can help me do quetion,I will mark brainlest.
5.
1m = 0.001 km
So, 1m² = 10^-6
Area = 5027 m² = 5027 × 10 ^-6 km²
6.
1mm = 0.1 cm
1mm² = 10^-2
Area = 210× 297 mm² =62370 mm² = 62370 ×10^-2 cm²
20 POINTS AND BRAIN LIESTJ ulia s urveyed the pl ayers on her so ccer team to see how many hou rs each mem ber prac ticed during the week. Her data is shown in the histo gram.
A histogram titled Prac tice Time has number of hours on the x -axis and number of players on the y-axis. 0.1 to 0.5 hours is 5 players, 0.6 to 1: 6, 1.1 to 1.5: 5, 1.6 to 2: 2, 2.1 to 2.5: 1, 2.6 to 3: 2, 3.1 to 3.5: 2, 3.6 to 4: 1, 4.1 to 4.5: 1.
Which of the following best describes the histogram?
The histogram is evenly distributed.
The histogram is symmetrical.
The left side of the histogram has a cluster.
The left side of the histogram is the mirror image of the right side.
Answer:
the left side of the histogram is the mirror image of the right side.
1/x^-2 x=7 yeet yeet
Answer:
49
Step-by-step explanation:
x = 7
1 / x^-2
= x^2
= 7^2
= 49
Answer: 49
Step-by-step explanation: yeet
Find the surface area of this cylinder.
Round to the nearest tenth.
r = 3 cm
3 cm
SA = [ ? ] cm2
PLEASE HELP
Formula for the surface area of a cylinder: 2 x pi x r^2 + 2 x pi x r x h
Radius (r) = 3
Height (h) = 3
2 x pi x 3^2 + 2 x pi x 3 x 3
2 x pi x 9 + 2 x pi x 9
18pi + 18pi
36pi = 113.1 cm^2
Hope this helps!
The surface area of the cylinder is 113.0973 square centimeter.
What is surface area of a geometric shape ?The surface area of a solid object is a measure of the total area that the surface of the object occupies. The surface area can only be present in any three dimensional geometric shape.
How to find the surface area of the cylinder ?The surface area of the cylinder is given by - 2*π*r*h + 2*π*r*r
where r is the radius of the cylinder and h is the height of the cylinder from its base.
In the given problem, r = 3cm and h = 3cm .
⇒ Surface area = 2*π*3*3 + 2*π*3*3 square centimeters.
= 36π = 113.0973 square centimeters.
∴ Surface area = 113.0973 square centimeters.
Thus the surface area of the cylinder is 113.0973 square centimeter.
To learn more about surface area the cylinder, refer -
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calculate the value of 120 is increased by 120%
Answer:
144
Step-by-step explanation:
currect answer for simple question
Answer:
264
Step-by-step explanation:
First find the amount of increase
120 * 120%
120 * 1.2
144
Add this to 120
120 +144
264
What is the simplified form of the complex fraction? 2x2+7x+6x2+x−64x2−9x2−5x+6
Answer:
3x - 124
Step-by-step explanation:
kindly find solutions in the picture above
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The simplified form of the complex expression 2x² + 7x + 6x² + x - 64x² - 9x² - 5x + 6 is
-65x² + 2x + 6
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
2x² + 7x + 6x² + x - 64x² - 9x² - 5x + 6
Combine all like terms.
(2x² + 6x² - 64x² - 9x²) + (7x - 5x) + 6
(8x² - 73x²) + 2x + 6
-65x² + 2x + 6
There are no common factors or like-terms to simplify.
So,
The simplified form is -65x² + 2x + 6
Thus,
The simplified form of the complex expression 2x² + 7x + 6x² + x - 64x² - 9x² - 5x + 6 is
-65x² + 2x + 6
Learn more about expressions here:
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What is the area of this triangle
Answer:
17.5 units
Step-by-step explanation:
im not good at explaining sorry
Pleasee help me with this!!
Answer:
#1 is f.
#2 is d.
#3 is a.
#4 is b.
#5 is c.
#6 is g.
#7 is e.
Step-by-step explanation:
The digit "9" is in the ten's place because it is two numbers/spaces left from the decimal. If you make all the other digits "0", you'll be left with a value of 90.
The digit "1" is in the one's place because it is one number/space left from the decimal. Applying the same concept of making all the other digits "0", you'll be left with a value of 1.
The type of digits to the right of the decimal, starting from left to right, are the tenths place, hundredths place, thousandths place, ten-thousandths place, and millionths. Remember and know those digit types based on their position away from the decimal. The value will be there for you to see afterward.
What product is positive (2/5)(-8/9)(-1/3)(-2/7). (-2/5)(8/9)(-1/3)(-2/7). (2/5)(8/9)(1/3)(-2/7). (-2/5)(-8/9)(1/3)(2/7)
Answer:
d
Step-by-step explanation:
a. (2/5)(-8/9)(-1/3)(-2/7)= - 32/945
b. (-2/5)(8/9)(-1/3)(-2/7) = -32/945
c. 2/5 * 8/9 * 1/3 * - 2/7 = - 32/945
d. -2/5 * - 8/9 * 1/3 * 2/7 = 32/945
Answer:
D
Step-by-step explanation:
32/945 is the final answer
A machine with velocity ratio of 5 is used to raise a load with an effort of 500N . If the machine is 80% efficient , determine the magnitude of the load.
Answer:
Solutions given:
Velocity ratio V.R =5
effort =500N
efficiency =80%
magnitude of load=?
mechanical advantage [M.A ]
we have
efficiency =M.A/V.R*100%
80=M.A./5*100
80/100*5=M.A
M.A.=4
again
we have
M.A =load/effort
4=load/500
load=500*4
load=2000N
the magnitude of the load is 2000N.It cost David $16.75 to fill his 5-gallon gas can.
1. Write two different rates.
2. What is the best unit rate to use?
3. If David decided to fill up his car that has a 22-gallon gas tank, would $73 be enough to cover it? If so, how much does he have leftover? If not, how much is he short?
Answer: I divided 16.75 by 5
Step-by-step explanation:
For every 1 gallon hes using 3.35
So 22 x 3.35 is 73.70 so hell need 70 cent more
