Answer:
B. 3:24, D. 5:40 E.7:56
Step-by-step explanation:
3:24 = 1:8 (Dividing by 3)
5:40 = 1:8 (Dividing by 5)
7:56 = 1:8 (Dividing by 7)
The ratios that are equivalent to 1:8 are:
3:24, 5:40, and 7:56.
Options B, D, and E are the correct answer.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
A)
16:2
= 16/2
= 8/1
= 8:1
B)
3:24
= 3/24
= 1/8
= 1:8
C)
4:12
= 4/12
= 1/3
= 1:3
D)
5:40
= 5/40
= 1/8
= 1:8
E)
7:56
= 7/56
= 1/8
= 1:8
Thus,
3:24, 5:40, and 7:56 are equivalent to 1:8.
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If a toy rocket is launched vertically upward from the ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation:
h(t) = -16t^2 + 128t
What is the maximum height the rocket reaches?
Answer:
The maximum height of the rocket is 256 feet
Step-by-step explanation:
The vertex form of the quadratic function f(x) = ax² + bx + c is
f(x) = a(x - h)² + k, where
(h, k) is the vertex pointh = [tex]\frac{-b}{2a}[/tex] and k = f(h)(h, k) is a minimum point if a > 0 and a maximum point if a < 0Let us use these rules to solve the question
∵ h(t) = -16t² + 128t
→ Compare it by the form of the quadratic function above
∴ a = -16 and b = 128
∵ a < 0
∴ The vertex (h, k) is a maximum point
∴ The maximum height of the rocket is the value of k
→ Use the rule of h above to find it
∵ h = [tex]\frac{-128}{2(-16)}[/tex] = [tex]\frac{-128}{-32}[/tex]
∴ h = 4
→ Substitute x in the equation by the value of h to find k
∵ k = h(h)
∴ k = -16(4)² + 128(4)
∴ k = -256 + 512
∴ K = 256
∴ The maximum height of the rocket is 256 feet
Complete each sentence.
The relation (0, 0), (1, 1), (2,4),(3,9) represents a function because
5.
The relation (-4,4).(-2,2),(0,0).(-2,-2) does not represent a function because if you answer than I will mark you brainless
6.
The relation (-8,4),(-3,1),(2, 2). 7. -5).
a function because
Determine whether acharnhronnant
Answer:
1 is 20
Step-by-step explanation:
8th one answer this pls
Answer:
terminating
Step-by-step explanation:
if the given fraction is terminating then prime factors of denominator should be 2^n x 5^m where m and n are whole number
5=1x5=2^0x5^1
so it is of form 2^nx5^m
What single decimal multiplier would you use to decrease by 7% followed by a 20% decrease?
Answer:
13 percent
Step-by-step explanation:
Single decimal multiplier used to decrease by 7% followed by a 20% decrease is 0.744.
What is decimal multiplier?A percentage multiplier is a number which is used to calculate a percentage of an amount or used to increase or decrease an amount by a percentage. In order to use a percentage multiplier to calculate the percentage of an amount, convert the percentage to a decimal by dividing by 100 ; this is the decimal multiplier.
Given,
First decrease = 7%
Second decrease = 20%
Let a number be x.
If x is decreased by 7% then the value of the number is
( (100 - 7) / 100) × x = 0.93 x
Again if 0.93 x is decreased by 20% then the value of the number ((100 - 20) /100) × 0.93 x = 0.744 x
Hence, The single decimal multiplier is 0.744.
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WILL GIVE BRAINLIEST!!!!!!!!!
1. Use at least 2-3 sentences to explain how to find the measure of exterior angle of a triangle if you know the two remote interior angles.
2.Use at least 2-3 sentences to explain how to find the measure of an interior angle of a triangle when you are given the other two angle measures.
Answer:
Step-by-step explanation:
1). By definition of an exterior angle of a triangle,
Measure of exterior angle of a triangle is equal to the sum of opposite two interior angles.
From the figure attached,
m∠4 = m∠1 + m∠2
2). Property of a triangle states that " sum of interior angles of a triangle is 180°"
Therefore, m∠1 + m∠2 + m∠3 = 180°
help me with this homework
Answer:
r = 0
Step-by-step explanation:
-32r + 8 = -8r + 8
-32r + 8r = 8-8
-24r = 0
divide both sides by -24
then the answer will be -- r = 0
Answer:
0
Step-by-step explanation:
iv) a) 4x 10² solve it in decimal
40.0*10 is the answer
actually it is 400 but u want in decimal so it is 40.0*10
Answer:
40.0*10
Step-by-step explanation:
have a good day!
I need answer ASAP I’m next 10 mins
Answer:
B
Step-by-step explanation:
First simplify the first term to get
10y^4
then multiply 10y^4 by 4 square root 6y^3
40y would be all you needed to get answer
Answer:
40y^5√6y (B)
Step-by-step explanation:
Let's multiply 2√25y^8 * 4√6y^3:
8√150y^11 (When you multiply exponents with the same base, you can just add the exponents and keep the same base:
Ex. 4^5 * 4^9 = 4^14)
Let's simplify 8√150y^11
√150 = 5√6
√y^11 = y^5√y
So our final answer would be:
40y^5√6y
97/221 as a decimal rounded to the nearest hundredth
Answer:
0.44?????/
Step-by-step explanation:
big brain
solve for h 17 + 4h + 2 = 1 − 5h
Answer:
h= -2
Step-by-step explanation:
Move the terms,
19 + 4h = 1 -5h
Combine like terms,
4h+5h=1-19
Divide both sides...
9h= -18
-18/9 = -2
Answer:
h=-2
Step-by-step explanation:
17+4h+2=1-5h
19+4h=1-5h
-1 -1
18+4h=-5h
-4h -4h
18=-9h
18/-9=-9h/-9
h=-2
hopefully this helps :)
Determine the area of the figure, in square meters. HELP ME PLAES BRIANEST ASAP PLEASE HAVE A EXPLIATION
Answer:
100 sq m
Step-by-step explanation:
if you fill in the shape to be a big rectangle it will be 8 x 22 =176 sq m
then the little piece on the left that is taken out is 2 x 2 = 4 sq m
the piece on the right is 6 x 12 = 72 sq m
so subtract them from the big rectangle
176 - 4 - 72 = 100 sq m
Answer:
100m^2
Step-by-step explanation:
To do this we need to break the shape into sections as illustrated in the picture I attached, I color coded the squares to make it easier to explain. Now we just find the area of each shape and add them all together.
Area= base•height
So for the purple shape:
6•2=12
Orange:
8•8=64
Green:
2•12=24
In total:
12+64+24=100
And since it's area it would be in square units which just means it'd look like this:
[tex] {100m}^{2} [/tex]
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
Angela enjoys swimming and often swims at a steady pace to burn calories. At this pace, Angela can swim 1,700 meters in 40 minutes.
A.What is Angela's Unit rate
B.What is the unit rate
Answer:
1700 divided by 40 and that would be 42.5 so she does 42 1/2 meters a minute.
Devaughn is 13 years younger than Sydney. The sum of their ages is 79 . What is Sydney's age?
Answer: 46 years old
Step-by-step explanation: If Devaughn is 13 years younger than Sydney,
we can represent Sydney's age as x and Devaughn's age as x - 13.
Since the sum of their ages is 79, we have x + x - 13 = 79.
This simplifies to 2x = 92.
Dividing both sides by 2, we have x = 46.
So sydney is 46 years old.
Given A=58 degrees, C= 42 degrees, and b=11. Find a. Round to the nearest tenth.
Answer - A=58 degrees round to the nearest tenth is 60 degrees.
Hope this helps
State the slope and Y intercept of this problem X =1
Answer:
not for sure sorry
Step-by-step explanation:
sorry
What is the constant of variation, k, for the table?
please help! with explanation and steps!
Answer:
p = 4,8 ; r = 7,5 ; q = 4,5
Step-by-step explanation:
according to Thales's theorem, we have:
[tex]\frac{3}{p}=\frac{5}{5+3}=\frac{5}{8}=> p= 3:\frac{5}{8}=4,8[/tex]
and: [tex]\frac{5}{8}=\frac{r}{12}=> r=7,5\\\\\frac{5}{3}=\frac{7,5}{q}=> q=4,5[/tex]
What is an equation of the line that passes through the points (2,5) and
(8,2)? Put your answer in fully reduced form.
The fuel for a chain saw is a mix of oil and gasoline. The ratio of ounces of oil to gallons of gasoline is 7:19. There are 38 gallons of gasoline. How many ounces of oil are there? Group of answer choices
Answer:
14
Step-by-step explanation:
Let y represent the ounces of oil present
7/19 = y/38
19 y= 7×38
19y= 266
y= 266/19
= 14
Hence there are 14 ounce of oil present
A tank contains 80 gallons of water and is getting filled at rate of 3 gallons per minute. How many gallons of water will be in the tank after 4 minutes. Explain your answer
Answer:
Step-by-step explanation: 92 gallons bc if u calc the rate on 3 gallons per minute, times 4 which gives 12, add that to the 80 gallons alr filled then boom. 92.
Subtract 2x/ x^2 -9 - 5/ x^2 - x - 12
Answer:
Let's do an example first and then summerize what are the techniques to complete the square for quadratic equation in order to solve for x. -2x^2 + 5x + 12 = 0 -2x^2 + 5x = -12 -2 (x^2 - 5/2 x) = -12 so 2ab = 5/2 x ("2ab" refers to the formula (a+b)^2 = a^2 + 2ab + b^2 or (a+b)^2 = a^2 - 2ab + b^2 ) Since a=1 (because x^2 is the a^2 in the formula), we get 2*1*b = 2b = 5/2 x, so b = 5/4 That means to complete the square we will add "b^2" (which is (5/4)^2 here) and then subtract (5/4)^2 in the parenthesis: -2 [ x^2 - 5/2 x + (5/4)^2 - (5/4)^2 ] = -12 Now that is same as -2 (x - 5/4 )^2 + (-2) * (-5/4)^2 = -12 To simplify it we follow these steps: -2 (x - 5/4 )^2 + 2 * 25/16 = -12 -2 (x - 5/4 )^2 + 25/8 = -12 Multiply both sides of the equation by 8 we get this: -16 (x-5/4)^2 +25 = -96 then -16 (x-5/4)^2 = -121 Techniques summerization: To complete the square for quadratic equation in order to solve for x, first we need to move the terms without x (which is "c" in the "ax^2+bx+c=0" form) to the right side of the equation. Then we divide both sides of the equation by "a" in the "ax^2+bx+c=0" equation. Through the formula (a+b)^2 = a^2 + 2ab + b^2 or (a+b)^2 = a^2 - 2ab + b^2 we will then figure out the value of "b", so then we know what is the b^2 we need to add then subtract. Finally just simplify the equation. Hope this helps.
Step-by-step explanation:
please answer correctly asap to get brainleist! :/
Answer:
a
Step-by-step explanation:
a can not be -9,-8,8,0 or -2, therefore, it is 7
Which expressions represent this model? Check all that apply. 4 + 5 4(5) 20 5(4) 05(5
Answer:
4(5), 20, and 5(4)
Step-by-step explanation:
i just did it! have an amazing day
y= 2x-4
6r - 3y = 12
Please help will brainlist
Answer:
4 is C for sure!
Step-by-step explanation:
Write the equation of the line passing through the points (0,-1) And (3,7)
Answer:
[tex]\frac{3}{8}[/tex]
Step-by-step explanation:
[tex]M=\frac{x2-x1}{y2-y1}[/tex]
[tex]M=\frac{3-0}{7-(-1)}[/tex]
[tex]M=\frac{3}{8}[/tex]
What is 6 1/4 divided by 2
Answer:
3 1/8
Step-by-step explanation:
6 1/4 ÷ 2
~Turn each number into an improper fraction
25/4 ÷ 2/1
~Copy Dot Flip
25/4 * 1/2
~Multiply
25/8 or 3 1/8
Best of Luck!
When the mixed number i.e. [tex]6\frac{1}{4}[/tex] is divided by 2 so the answer is [tex]3 \frac{1}{8}[/tex]
Given that,
The mixed number is [tex]6\frac{1}{4}[/tex].And, the other number is 2.We need to do the division.Based on the above information, the calculation is as follows:
[tex]= 6\frac{1}{4} \div 2\\\\= \frac{25}{4} \div 2\\\\= \frac{25}{4} \times \frac{1}{2} \\\\= \frac{25}{8}\\\\= 3 \frac{1}{8}[/tex]
Therefore we can conclude that when the mixed number i.e. [tex]6\frac{1}{4}[/tex] is divided by 2 so the answer is [tex]3 \frac{1}{8}[/tex]
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(9,-8) and (9,6) and determine the equation of the line.
Answer:
The answer is undefined.
Step-by-step explanation:
The x will never change, no matter what the y is, so the answer will always be undefined.
At the Denver zoo,adult admission is 15$ and children’s admission is 9$. A group of 12 people go to the zoo. Their total admission was $150.
A) Set up a system of equations to model this situation.
B) How many adults and how many children were in the group. Using an appropriate method.
Answer:
What is the question? Please explain further and I will help answer in the comment.
Step-by-step explanation:
Please someone help!
Find ∛-27
Answer:
∛-27 or -3
Step-by-step explanation:
I don't think you can do anything further to this problem unless we have to solve for something.
If it is 3 square root of the whole thing, then the answer is -3 because
-3 x -3 x -3 = -27
-3 x -3 = negative x negative = positive = 9
9 x -3 = positive x negative = negative = -27
Hope this helps!