Answer:
[tex] 9 \sqrt{3 } -12 \sqrt{4} \\ 3 \sqrt{9 \times 3} - 3 \sqrt{16 \times 4 } \\ from \: here \: we \: see \: that \: the \: square \: root \: of \: 9 \: is \: 3 \: and \: square \: root \: of \: 16 \: is \: 4 \: so fnal \: answer \: is \\ 9 \sqrt{3} - 12 \sqrt{4} [/tex]
Step-by-step explanation:
from the question we see root 27 and root 64
so what we do next is we look for two numbers that we can multiply together to give 27 and 64 in which one if the number is a perfect square
for root 27 we use 9 and 3
for root 64 we use 16 and 4
let a, b and c be real numbers, prove that a+b=b+a
Answer:
Check below
Step-by-step explanation:
a = 1
b = 1
a + b = b + a
1 + 1 = 1 + 1
2 = 2
A van is delivering sacks of potatoes to two different shops in the ratio of 3:7.
One shop has 28 more bags than the other.
How many bags of potatoes are on the van at the start.
69
How many bags of potatoes are on the van at the start.
The total number of bags the van have at the starting is 70.
What is ratio?Ratio is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another.
According to the given question.
The sacks of potatoes delivered in two different shops are in the ratio 3:7.
Also, one shop has 28 more bags than the other.
Let the number of bags of potatoes at one shop be x.
Then, the bags of potatoes in another shop = x + 28
Therefore,
[tex]\frac{x}{28 + x } =\frac{3}{7}[/tex]
⇒ [tex]7x = 3(28 + x)[/tex]
⇒ [tex]7x = 84 + 3x[/tex]
⇒ [tex]4x = 84[/tex]
⇒[tex]x = 21[/tex]
So, the total number of bags
[tex]=x + (x + 28)[/tex]
[tex]=2x + 28[/tex]
[tex]= 2(21) + 28[/tex]
[tex]= 42 + 28[/tex]
[tex]= 70[/tex]
Hence, the total number of bags the van have at the starting is 70.
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The longer leg of a right triangle is 4 inches longer than the shorter leg. The hypotenuse is 8 inches longer than the shorter leg. Find the side lengths of the
triangle.
Answer:
lengths are 12, 16, and 20
Step-by-step explanation:
let 's' = length of smaller leg
let '4+s' = length of second leg
let '8+s' = length of hypotenuse
Now use the Pythagorean Theorem: a² + b² = c²
s² + (4+s)² = (8+s)²
s² + 16 + 8s + s² = 64 + 16s + s²
2s² + 8s + 16 = 64 + 16s + s²
subtract s² from each side:
s² + 8s + 16 = 64 + 16s
subtract '16s' from each side:
s² - 8s + 16 = 64
subtract 64 from each side:
s² -8s - 48 = 0
factor:
(s+4)(s-12) = 0
's equals -4 and 12 but -4 is discarded as a length so smallest side is 12
If one card is drawn from a deck, find the probability of drawing a 4 or a spade,
Express your answer as a fraction, reduced to lowest terms,
Answer:
4/52 for drawing a 4 and 13/52 for drawing a spade from a deck
Explain why a change from 20 to 40 is a 100% increase, but a change from 40 to 20 is a 50% decrease. I don't under stand it
Answer:
Step-by-step explanation:
40 to 20 is a 50% decrease because you are halving it
20 to 40 is a 100% increase because you are adding 100% of 20 to 20 and you get 40.
Answer:
I hope this helps :)
Step-by-step explanation:
For 20 to 40, how much are you adding to your first number (20) to get your second number (40)?
You are adding 20 to your original number, which is the same amountSince you add the same amount to your original number (100% of your original number,) it is a 100% increase.For example: a 50% increase from 20 would be adding 50% of your original number (20) to the original number (e.g. 20 + (20/2) = 30 --> 50% increase)For 40 to 20, how much are you decreasing from your first number (40) to get your second number (20)?
You are subtracting 20 from your original number, which is half of the amountSince you subtract half (50%) of your original number, it is a 50% decreaseFor example: a 50% decrease from 30 would be taking away 50% of your original number (30) (e.g. 30 - (30/2) = 15 --> 50% decrease)Pls help me I will give brainliest
Answer:
A’(5,-5)
B’(2,-4)
C’(4,-2)
Step-by-step explanation:
Reflecting the points across the y axis will be making the x values opposite, so the new points will be:
A(5,5)
B(2,4)
C(4,2)
A reflection across the X axis will be making the Y values opposite so the new points will be:
A’(5,-5)
B’(2,-4)
C’(4,-2)
A plane took off at 11:55 and arrived 2 hours 40 minutes later. What time did it arrive?
Tom has a rope that is 5 3/8 feet long.if he cuts 1 2/3 feet off find the length of the rope remaining (show your work)
Answer:
3 17/24
Step-by-step explanation:
= (5 - 1) + (3/8 - 2/3)
= 4 + 3/8x3/3 - 2/3 x 8/8
=4 + 9/24 - 16/24
=4 + 9-16/24
=4 + -7/24
=3 17/24
3 17/24
Using long division to show the fraction and decimal in each pair are equal 3/4 and 0.75
Answer:
How to show that they are equal.
Step-by-step explanation:
3/4 times 25 equals 75/100 and then when you turn it into a decimal it is 0.75. That is why they are equal.
what is the value if y when x=125
What's the solution set of -5 < 2x - 1 < 3?
Answer:
The answer to your question is...the first option; Infinitely many solutions
Hope this helped!
Answer:
Option 2: –2 < x < 2
Step-by-step explanation:
I'm at the same school as you and I got it correct on the self check
Inequalities number line
Answer:
1.
x < -3
2.
x <= 5
3.
x >= 6
I need help will give brainliest
Answer:
7 youre right, i was wrong the first time
Step-by-step explanation:
i hope this helps
What is the radius of a circle whose area measures
530.66 square feet?
Use pi = 3.14 and round to the nearest hundredth.
Answer:
13
Step-by-step explanation:
refer the image attached below
1 km = 0.62 mi. The distance between Lowell and Shelby is 285
miles. How many kilometers is this?
Round your answer to the nearest whole kilometer.
Answer:
459
Step-by-step explanation:
Since to find out mile to kilometer you divide the mile by 1.609 would equal 458.66304 and rounding it to the nearest whole kilometer is 459 there is you answer.
The distance between Lowell and Shelby is approximately 460 kilometres.
Given that information:
1 km = 0.62 miles
Also given the distance between Lowell and Shelby is 285 miles.
To convert miles to kilometres, use the conversion factor:
1 mile = 1.60934 kilometres
Now calculate the distance in kilometres as follows:
Distance in kilometres = 285 miles × 1.60934 km/mile
Distance in kilometres ≈ 459.7 kilometres.
Now, round the answer to the nearest whole kilometre as follows:
Distance in kilometres ≈ 460 kilometres.
Hence, the distance between Lowell and Shelby is approximately 460 kilometres.
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Jane made sugar cookies to share with her friends. She spent 1 hour and 10 minutes making the dough and 1 hour and 30 minutes baking the cookies. Then, she spent 30 minutes decorating the cookies with icing and sprinkles. It was 2:55 P.M. when Jane finally finished all of the cookies. What time did Jane start making the cookies?
Answer:
12:15 P.M
Step-by-step explanation:
2:55 P.M - 1hr 30 min = 1:25 P.M
1:25 P.M - 1hr 10 min = 12:15 P.M
Jane started making the cookies at 12:15 P.M
The table to the right shows the number of people living in a house and the weight of trash (in pounds) at the curb just before
trash pickup. Complete parts (a) through (c) below.
Answer:
Step-by-step explanation:
A = Find the correlation between these numbers by using a computer or a statistical calculator.
R= (0.996)
C = Suppose each house contained exactly twice the number of people, but the weight of the trash was the same. What happens to the correlation when numbers are multiplied by a constant?
(The correlation is
(0.996). The correlation coefficient remains the same when the numbers are multiplied by a positive constant.
Help please, I want to get a good score :D
Answer:
144in²
Step-by-step explanation:
area of a square = s²
where s = side length.
the given side length is 12 inches
so area = 12² = 144
Describe the transformation that maps the pre-image A to the image A.
A)
translated 8 units up and then reflected across the y-axis
B)
translated 8 units down and then reflected across the y-axis
C)
translated 1 unit to left and then rotated 180° counterclockwise about the
origin
D)
translated 1 unit to right and then rotated 180° counterclockwise about the
origin
Answer:
C) translated 1 unit to the left and then rotated 180° counterclockwise about the origin
Step-by-step explanation:
by inspection, shape A has been translated 1 unit to the left and then rotated 180° counterclockwise about the origin
72a²-48a+8 cross multiplication
Answer:
67
Step-by-step explanation:
72 times 72
minues 42a plus 8a
Paige is sewing a tent. If the material cost $0.04 per square in, determine how much it will cost her to make the tent.
What single amount on April 1, 2012, is equivalent to a series of equal, semiannual cash flows of $5200 that starts with a cash flow on January 1, 2010, and ends with a cash flow on January 1, 2019? The interest rate is 6% and compounding is quarterly?
The single amount on April 1, 2012 that is equivalent to a series of equal, semiannual cash flows of $5200 is; $57,023.2
Compound Interest FactorWe are given;
Semi annual cash Flow; A_sa = $5200
Interest rate; r = 6%
From April 1, 2012 to January 1 2019 is 6.75 years
Thus; Period; T = 6.75 years
Cash flows is semi annual. Thus; t_a = 1/2
Thus; n_sa = 6.75 * 2
n_sa = 13.5
i_sa = 6% * 1/4 = 1.5%
Thus;
Single amount = 5200 * (P/A, 1.5%, 13.5)
From compound interest tables, P/A at n = 13.5 and at i = 3% by interpolation gives 10.966. Thus;
Single amount = 5200 * 12.137
Single amount = $63,112.4
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What Am I Doing Here !?
Help Please And Quickly
Answer:
Step-by-step explanation:
AS the top line progresses by 1, the bottom line progresses by 2.
So I'm going to fill in the top line from 3 to 8
1 2 3 4 5 6 7 8
3 5 7 9 11 13 15 17
The number that goes underneath the 8 is 17
Now we wonder how you get 21 in the second line
9 10
19 21
So the two answers you want are 17 on the bottom line and 10 on the top line.
In this figure, 12.2% of the area is painted blue.
How much of the area is painted blue?
4 cm
1.22 cm?
O 3.05 cm
O 4.27 cm
5 cm
O 5.49 cm
5 cm PLEASE HELP ME?
Answer:
the answer is 4.27
Step-by-step explanation:
A piece of wood for a sign is shaped like a parallelogram with a base length of 14 inches and a height of 9 inches. A small tube of paint will cover 24 square inches. How many tubes of paint will be needed to paint the sign? Enter your answer in the box.
Answer:
The answer is 6
Step-by-step explanation:
I got if from k12 after taking the test!
Answer:
6 tubes
Step-by-step explanation:
helpppp pls. Rotate traingle TUV 90 degrees clockwise around the origin
200 random people were surveyed at an amusement park and asked if they ride roller
coasters and if they play games while at the park. 130 of those surveyed ride roller
coasters. 86 of those surveyed play games. 70 of those surveyed ride roller coasters and
play games. Use the formulas in the text to answer the following questions.
a) What is the probability a person at the amusement park rides roller coasters or plays
games?
b) What is the probability a person at the amusement park does ride roller coasters?
c) Are the events of a person riding roller coasters and playing games mutually exclusive?
Answer:
let the P(ride roller coaster) be A and P(play games) be B
a. P(AUB) = P(A) + P(B) - P(AnB)
= 130/200 + 86/200 - 70/20.
= 146/200
= 73/100
b. P(A) = 130/200
= 13/20
c. not mutually exclusive
Need help ASAP please!??
Answer:
Corresponding angles converse theorem
Step-by-step explanation:
Angles x and y are corresponding angles.
This makes the lines parallel by the converse of that theorem.
This makes it similar by the corresponding angles converse theorem.
Definition of converse
the reverse of another
The corresponding angles theorem is for the congruency of the angles by parallel lines. Here we want to see if the lines are parallel given the congruency of the angles.
We can flip the operation, checking to see if the angles are congruent, which proves that the lines are parallel.
-Chetan k
When 30% of a number is added to the number, the result is 156. what is the number?
Answer: 120
Step-by-step explanation:
Let the number = x.
Setting up the equation, we get
x+0.3*x = 156
1.3x = 156
x = 120
Answer:
120
Step-by-step explanation:
x= the number
x+0.3*x = 156
1.3x = 156
x = 120
hope this helps
Which expression(s) represent(s)®3 times the sum of sand 4"?
Select ALL that apply.
0 (12+2)3
O 3x +4
0
(3+2)
32 + 12
03(4+2)