Given:
The ratios are [tex]\dfrac{30}{75}[/tex] and [tex]\dfrac{24}{60}[/tex].
To find:
Whether the ratios form a proportion or not.
Solution:
If two ratios represent the same relationship then they form a proportion.
We have,
[tex]\dfrac{30}{75}[/tex] and [tex]\dfrac{24}{60}[/tex]
Write the given ratios in the simplified forms.
[tex]\dfrac{30}{75}=\dfrac{15\times 2}{15\times 5}[/tex]
[tex]\dfrac{30}{75}=\dfrac{2}{5}[/tex]
And,
[tex]\dfrac{24}{60}=\dfrac{12\times 2}{12\times 5}[/tex]
[tex]\dfrac{24}{60}=\dfrac{2}{5}[/tex]
Since [tex]\dfrac{30}{75}=\dfrac{24}{60}=\dfrac{2}{5}[/tex], therefore the ratios form a proportion.
The first snack is 270 calories for 3 servings, and the second snack is 450 calories How many servings does the snack have to have in order to equivalent to the first snack?
Answer:
5 servings
Step-by-step explanation:
Given that:
For a particular first snack to be = 270 calories;
the servings = 3
Then, for the second snack, the calories = 450.
To estimate the servings for the second snack; we need to equate the first snack with the second snack.
Let y be the value of the unknown second snack
Then:
270 calories = 3 servings
450 calories = y servings
y servings = (450 calories × 3 servings) / 270 calories
y servings = 5 servings
Thus; the second snack needs to have 5 servings in order to be equivalent to the first snack
Which of these strategies would eliminate a variable in system of equations?
2x+3y=-5
2x-3y=10
A.add the equations.
B.subtract the bottom equation from the bottom equation.
C.multiply the top equation by 2,then add the equations.
Answer: (b) Multiply the top equation by 3, multiply the bottom equation by 2, then add the equations.
Step-by-step explanation: the strat would eliminate a variable in this system
xis directly proportional to y.
When x=21, then y=3.
a) Express x in terms ofy.
b) Find the value ofx when y is equal to 10.
9 strings of lights for $52.65 .how much does one string of lights cost ?
Answer:$5.85
Step-by-step explanation: you divide 52.65 divided by 9 and it will equal $5.85
Answer:
$5.85. Hope this helped! :')
Step-by-step explanation:
1. Use the algorithm method.
5 . 8 5
9 | 5 2 . 6 5
4 5 .
7 . 6
7 . 2
4 5
4 5
2. Therefore, 52.62 divided by 9=5.85
5.85
Only hash channel catfish typically was about 0.06 g during the first six weeks of life at weight increase about 10% each day right a exponential model for the weight how much will the catfish gain weight after six weeks
Answer:
3.225 gram
Step-by-step explanation:
Given that :
Initial weight = 0.06g
Rate of increase, r = 10% = 0.1 per day
Weight gain after 6 weeks
For an exponential model. f(x)
f(x) = a(1 + r)^x
Where ; a = initial amount ; r = growth rate ; x = period
Our model becomes :
f(x) : 0.06(1 + 0.1)^x
f(x) = 0.06(1.1)^x
Number of days in 6 weeks = 6*7 = 42 = x
f(42) : 0.06(1.1)^42
= 3.285 gram
Hence, weight gain after 6 weeks :
(3.285 - 0.06) g = 3.225 gram
Which set of measurements could be the side lengths of a right triangle?
A. {3 in., 5 in., 7 in.}
B. {6 in., 9 in., 12 in.}
C. {8 in., 15 in., 17 in.}
D. {10 in., 20 in., 30 in.}
Answer:
D
Step-by-step explanation:
you simply add the 2 smaller sides, and if their sum equals the bigger side, its correct!
(x-7)(2x + 1) = 0
Factoring
Answer:
x=7,x=-1/2
Step-by-step explanation:
so x-7=0 or 2x+1=0
x=7 or 2x=-1
x=7,x=-1/2
if my answer helps please mark as brainliest.
A rectangular prism has a base with an area of 13 square units and a volume of
109.2 cubic units. The equation shown gives the height, h, in units, of the prism.
13h = 109.2
What is the height, in units, of the prism?
Answer:
Isolate the variable and simplify.
Step-by-step explanation:
13h = 109.2
h = 109.2 ÷ 13
h = 8.4
Your answer would be 8.4 units.
Don't forget units! :)
use elimination to solve and please show ur work.
4x + 3y = 6
2x - y = -2
Answer:
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
Point Form:
(0,2)
Equation Form:x=0, y=2
Answer:
(0,2)
Step-by-step explanation:
Multiply each equation by the value that makes the coefficients of y opposite.
3*2x-y=3*-2
Simplify
6x-3y=-6
Add the two equations
10x = 0
Divide both by 10 and simplify
x=0
Substitute x into the equations.
4*0+3y=6
3y=6
2
y=2
Task 4:
A carnival attraction tests your strength by how far in the air
you can drive a weight with a hammer. If the weight
reaches 15 feet you win a prize! The equation
h = -1612 + 317 + 2 gives the height h of the weight t seconds
after you hit it.
A: How long is the weight moving?
B: What was the weight's maximum height?
C: Did you win a prize? How do you know?
B i think i am sorry if it is not right but i am pretty sure i am right tho
Michael practiced his harmonica 3 times as long as Timothy did. Michael practiced for 126 minutes. Write an equation that represents the relationship between the amount of time Timothy practiced x and the amount of time Michael practiced.
Answer:
126 = 3x
Step-by-step explanation
Graph the numbers that are solutions to x+7>9 and 8x≤64.
Answer:
2 to 8 and 8 to -2
Step-by-step explanation:
Solution to these set of inequalities is : 2 < x < 8
Important Information
x + 7 > 9
x > 9 - 7
x > 2
8x < 16
x < 16/2
x < 8
So, numbers that satisfy the conditions that 2 < x < 8 are solutions to this set of inequalities.
To learn about inequalities' equations solving, refer https://brainly.com/question/11897796?referrer=searchResults
can someone please help
Answer:
C
Step-by-step explanation:
We can use the pythagorean theorem (A^2 + B^2 = C^2) To solve this question.
For answer A, we add 6^2 (36) and 8^2(64) to get 10^2 (100). This is a right triangle.
For question B, we add [tex]\sqrt{3}[/tex] ^2 (3) and [tex]\sqrt{8}[/tex]^2 (8) to get [tex]\sqrt{11}[/tex]. This is a right triangle.
For question C, we add 3^2 and 5^2 to get [tex]\sqrt{34}[/tex]. This is not a right triangle.
If D varies directly with t and D is 105 when t is 3, find D when t is 8.
Answer:
280
Step-by-step explanation:
answer is 280
Answer:
answer is 280
Step-by-step explanation:
d=xt
105=x3
35=x
d=35*8
d=280
A square pyramid is sliced in half, parallel to the base.
Which of the following statements describes the cross-section?
A triangle with the same height as the pyramid
A square that is smaller than the base
A square that is congruent to the base
A trapezoid that is shorter than the pyramid
Answer:
I think the answer is a because it not getting any smaller
Answer:
I think a trapezoid that is shorter than the pyramid because it's parallel to the base which automatically know it's not the same height because there's a certain length thats cut off.
Step-by-step explanation:
Last week, Naomi set a new personal record for running the mile. She beat her previous record by 14 seconds. The time change from her previous record can be represented by.____
zero
a positive rational number
a negative rational number
brainlyist for the correct answer
.
Answer:
a negative rational number
Step-by-step explanation:
I'm pretty positive this is the answer, but its worded strange in my opinion
HELP WILL GIVE BRAINLIEST Triangle QRS and triangle WXY are similar. Which statement must be true?
Answer:
C.
Step-by-step explanation:
This is correct because the triangles are similar. Angle S is similar to Angle Y, and Angle R is similar to Angle X.
None of the others can be correct either.
Hope it helps!
Jenna borrows $8,000 for college at a yearly simple interest rate of 6%. She takes
15 years to pay off the loan and interest. How much interest does she pay? What is
the total amount she pays?
Answer:
The interest will rack up to $7,200
The total will be $15,200
Step-by-step explanation:
the interest she pays is $7,000
the total amount she pays is $15,200
Jenna borrows $8,000 for college at a simple interest rate of 6%
she has 15 years to pay back the loan and interest
the interest can be calculated as follows
= 6/100 × 8,000
= 0.06 × 8000
= 480
= 480 × 15
= $7200
the total amount she pays can be calculated as follows
= $7200 +$8000
= $15,200
Hence the interest she pays is $7200 and the total amount is $15,200
please see the link below for more information
https://brainly.com/question/19334153?referrer=searchResults
12.7
4. Mariana compró 46 pies de listón azul, para hacer adornos navideños, ¿cuántos
centímetros de listón tiene? (1 pie=0.3048 m)
1
3
14
Answer:
3500cmnjdkslkrkdjdsllwldkkdkrkfjfrkrk
Which event leads to Mio regaining her confidence?
A.
She notices a look on her mother's face that helps her feel prepared.
B.
Her brother gives her an encouraging look that boosts her confidence.
C.
She recalls the times when her mother prepared her for the ceremony.
D.
The smell of the matcha tea reminds her that she was always ready.
this is language arts by the way and im in 8th grade
Answer:
B.
Step-by-step explanation:
It says that when her brother gives her an encouraging look, it boosts her confidence. So, I would assume it'd be that one.
Answer:
C.
She recalls the times when her mother prepared her for the ceremony.
MULTIPLE CHOICE: Choose the BEST ANSWER. The equation C = 5n represents the cost “C” in dollars for “n” caps that advertise the walkathon. Which of the following ordered pairs could represent a number of caps and the cost for that number of caps, (n, C)?
A. (0 , 5)
B. (3 , 15)
C. (15 , 60)
D. (5 , 1)
Answer:
c
Step-by-step explanation:
Which choice below lists all of the square roots of the number 100?
A. V10-10
C. 10,-10
B. 10
E. 50,-50
D. -10
Answer:
c. 10, -10
Step-by-step explanation:
10x10=100
-10x-10=100
Answer:C
Step-by-step explanation: when doing the square root of 100 it’s 10 but -10 times -10 is also 100 because of double negatives
Kyle found that
31/97 = 0.3196. Without doing any computation, explain how we know
that Kyle is wrong.
I need the answer really quickly!!!
Answer:
The answer actually rounds to 0.3196, but the computation is so long, we just count it as 0.3196. The real answer would be 0.31958762886.
Step-by-step explanation:
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
10
X
13
Answer:
8.31
Step-by-step explanation:
By Pythagoras Theorem,
(10)² + x² = (13)²
=> x² = (13)² - (10)²
=> x² = 169 - 100
=> x² = 69
=> x = [tex]\sqrt{69}[/tex]
=> x ≈ 8.31
Hope it helps :)
Please mark my answer as the brainliest
Check whether the sequence is arithmetic. If so, find the common difference d. 2, 7, 12, 17, 22 ... Select the correct choice below and, if necessary, fill in the answer box within your choice.
Answer:
The answer is A.
Step-by-step explanation:
The common difference is five because 7-2=5, 12-7=5, 17-12=5, 22-17=5, and so on.
OMG HELP MEEEEEEEeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
78
Step-by-step explanation:
*6 on both sides
13*6=d/6*6
Given the functions f(x) = x ^ 3, g(x) = 9 and h(x) = 2x , what is an expression equivalant to f(2x) + 3g(x)/h(x) + 3?
Answer:
an expression equivalent to f(2x) + [tex]3\frac{g(x)}{h(x)}[/tex] + 3 = 8x³ + [tex]\frac{27}{2}x[/tex] + 3
Step-by-step explanation:
As given ,
f(x) = x³ , g(x) = 9 , h(x) = 2x
Now,
f(2x) = (2x)³ = 2³.x³ = 8x³
⇒f(2x) = 8x³
Now,
[tex]\frac{g(x)}{h(x)} = \frac{9}{2x} = \frac{9}{2}x[/tex]
⇒[tex]3\frac{g(x)}{h(x)} = 3.\frac{9}{2}x = \frac{27}{2}x[/tex]
∴ we get
f(2x) + [tex]3\frac{g(x)}{h(x)}[/tex] + 3 = 8x³ + [tex]\frac{27}{2}x[/tex] + 3
Please help will give Brain
16. Physical Science A ball is dropped from a
height of 500 meters. The table shows the height
of each bounce, and the heights form a geometric
sequence. How high does the ball bounce on the
8th bounce? Round your answer to the nearest
tenth of a meter.
Ball will bounce 83.9 meters high on the 8th bounce.
Geometric sequence:
nth term of a geometric sequence is given by the expression,[tex]T_n=ar^{n-1}[/tex]
Here, [tex]a=[/tex] First term
[tex]r=[/tex] Common ratio in each term
[tex]n=[/tex] Number of term
From the table attached,
First term [tex]a=400[/tex] meters Common ratio [tex]r=\frac{\text{Second term}}{\text{First term}}[/tex][tex]=\frac{320}{400}[/tex]
[tex]=0.8[/tex]
8th term of the sequence will be,
[tex]T_8=400(0.8)^{8-1}[/tex]
[tex]T_8=83.886[/tex]
[tex]\approx 83.9[/tex] meters
Find out more information about geometric sequence here;
https://brainly.com/question/11266123?referrer=searchResults
What is 46x15?? Thank you so much!
Answer:
i think its a uhhh i think its a carrot..
Step-by-step explanation: