Answer:
Yes.
Step-by-step explanation:
2/3 and 8/12 are equal because of a multiplying factor. To get from 2 to 8, you'd have to multiply by 4. And to get from 3 to 12 you would have to multiply by 4 as well. So that means they are equal because both the numerator and denominator are multiplied by 4.
If two ratios are equal then the ratios are said to be in proportion and equivalent.
The ratios 2/3 and 8/12 are equivalent.
The simplest form of both ratios is 2/3.
What is a ratio?The ratio is the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
If two ratios are equal then the ratios are said to be in proportion and the ratios are said to be equivalent.
We have,
Two ratios:
2/3 and 8/12
We will make the ratios in their simplest form:
2/3 is in the simplest form.
8/12 = 4x2/4x3 = 2/3 is the simplest form.
We see that both the ratios are equal so the ratios 2/3 and 8/12 are in proportion.
Thus,
The ratios 2/3 and 8/12 are equivalent.
The simplest form of both ratios is 2/3.
Learn more about ratios here:
https://brainly.com/question/2462048
#SPJ2
The area of a square garden is 9ft. How long is each side of the garden
The length of each side of the square garden is 3ft.
What is a square?A square is a quadrilateral with four equal straight sides and four right angles.
To find the area of a square garden, multiply two equal sides.
The area is the space of a two-dimensional line.
To find the length of each side of a square garden, compute the squared root of the area.
Area of the square garden = 9 ft
Length of each side = √9
= 3 feet
Thus, each side of the garden has 3 ft.
Learn more about the area, length, and width at https://brainly.com/question/25292087
#SPJ1
Noodles are packaged in boxes that measure 18 cm by
20 cm by 5 cm. A larger box is being designed by
increasing the length, width, and height of the smaller
box by the same amount.
What is the minimum amount that can be added to the
dimensions of the box so that the new box has a
volume of at least 5,280 cubic centimeters? Round to
the nearest hundredth.
cm
Answer:
Its 4.54 cm
Step-by-step explanation:
on Edge
The minimum amount that can be added to the dimensions of the box so that the new box has a volume of at least 5,280 cubic centimeters is 4.54cm
The measurement of the box is given as 18 cm by 20 cm by 5 cm. Let the minimum amount to be added be x.
Therefore, the equation will be:
= (18 + 4.54) × (20 + 4.54) × (5 + 4.54)
= 22.54 × 24.54 × 9.54
= 5280 approximately
The minimum amount that can be added to the dimensions of the box so that the new box has a volume of at least 5,280 cubic centimeters is 4.54cm
Read related link on:
https://brainly.com/question/17671314
The legend on a map states that 1 cm is 50 km. If you measure 7 cm on the map, how many kilometers would the actual distance be?
Answer:
350 kilometers
Step-by-step explanation:
The legend states that 1 cm = 50 km
So if you do 7cm times 50
7 × 50 = 350
Select the correct answer.
Which complex number is equivalent to the given expression?
(2 + i)(8 – 3i) – (23 + 34i)
Answer:
-47
Step-by-step explanation:
Answer:
-4 - 32i
Step-by-step explanation:
Got it right on the test
Which equation has a slope of 2 and a y-intercept of - 5?
X a. 2x + y = -5
b. 2x - y = 5
c.X + 2y = - 10
d. X - 2y = 10
Answer:
b. 2x - y = 5
you are able to change the equation to y = 2x -5. this is then in the form of y = mx + b.
m = slope and b = y-intercept
m = 2 and b = -5
Answer
d. x - 2y = 10
Step-by-step explanation:
The answer you chose does have the correct y intercept, but the incorrect slope, it was asking for a slope of 1/2, not a slope of -2.
REMEMBER: The y intercept is when x = 0, the x intercept is when y = 0.
To find the y intercept, substitute 0 for x, and solve for y. The slope is the coefficient of x when the coefficient of y is 1.
Just convert this standard form equation into slope intercept.
Standard Form: Ax + By = C.
Slope Intercept: y = mx + b. (m is the slope, b is the y intercept)
To convert just get y by itself completely on the left side of the equation. (y has to have a coefficient of positive 1)
x - 2y = 10
-x -x
-2y = -x + 10
÷2 ÷2 ÷2
-y = -1/2x + 5
×-1 ×-1 ×-1
y = 1/2x - 5 → y = mx + b
m = 1/2, and b = -5
What is a swing state?
A
A state in which two major political parties have similar levels of support
B.
a state that has a large number of electoral votes
C
a state that historically votes for one of the minor political parties
D
a state that hosts the national convention for a political party
Answer:
swing state
noun
a US state where the two major political parties have similar levels of support among voters, viewed as important in determining the overall result of a presidential election.
Step-by-step explanation:
Plz help with this question
Answer:
A
Step-by-step explanation:
Given
6 ([tex]\frac{x}{2}[/tex] + 4) ≥ 9 ( distribute the parenthesis by 6 )
3x + 24 ≥ 9 ( subtract 24 from both sides )
3x ≥ - 15 ( divide both sides by 3 )
x ≥ - 5 → A
Answer:
A
Step-by-step explanation:
First, divide both sides by 6:
6(x/2 + 4) ≥ 9
x/2 + 4 ≥ 9/6
x/2 + 4 ≥ 3/2
Now, subtract 4 from both sides:
x/2 ≥ 3/2 - 4
x/2 ≥ -5/2
Finally multiply both sides by 2:
x ≥ (-5/2) * 2
x ≥ -5
The answer is thus A.
~ an aesthetics lover
Cory, Josh and Dan went shopping for Halloween treats. Cory bought 3 chocolate pumpkins, 4 masks and 8 candy witches. He spent $36.65. Josh bought 5 chocolate pumpkins,3 masks and 10 candy witches. He spent $37.50. Dan bought 4 chocolate pumpkins, 5 masks and 6 candy witches. He spent $43.45. Write a system of equations to represent this problem.
Answer:
[tex]\left\{\begin{matrix}3x+4y+8z=36.65\\ 5x+3y+10z=37.50\\ 4x+5y+6z=43.35\end{matrix}\right.[/tex]
Step-by-step explanation:
System of equations
Let's set the following variables:
x=Price of chocolate pumpkins
y=Price of masks
z=Price of candy witches
We'll establish the system of equations needed to know the prices of all the Halloween treats.
Cory bought 3 chocolate pumpkins, 4 masks, and 8 candy witches and he spent $36.65. This leads to the following equation:
[tex]3x+4y+8z=36.65\qquad\qquad [1][/tex]
Josh bought 5 chocolate pumpkins, 3 masks, and 10 candy witches and he spent $37.50. This leads to the following equation:
[tex]5x+3y+10z=37.50\qquad\qquad [2][/tex]
Dan bought 4 chocolate pumpkins, 5 masks, and 6 candy witches and he spent $43.45. This leads to the following equation:
[tex]4x+5y+6z=43.35\qquad\qquad [3][/tex]
Collecting the equations [1] [2] [3], we form the system of equations to represent this problem:
[tex]\left\{\begin{matrix}3x+4y+8z=36.65\\ 5x+3y+10z=37.50\\ 4x+5y+6z=43.35\end{matrix}\right.[/tex]
CAN SOMEONE PLZ HELP ASAP
You can use what you know about coordinates of transformations. You can map figure ABCD onto figure EFGH using two transformations. A rotation faces figure ABCD in the same direction as figure EFGH. Dilation reduces the image.
Answer:
EFGH
(-1, 1)
(-1, 2)
(2, 2)
(1, 1)
Step-by-step explanation:
if Both rotating in the same way, then EfGH is gonna go the other way. (sorry if its wrong, i'm learning this too)
HELP pleaseee i’m beggingggg
Answer:
35 1/3°54 2/3°Step-by-step explanation:
Angle AOB and BOC create a complementary angle. This means when two angles sum up to 90°. We can write an equation for this problem;
(x + 8) + 2x = 90
~Remove parenthesis
x + 8 + 2x = 90
~Combine like terms
3x + 8 = 90
~Subtract 8 to both sides
3x = 82
~Divide 3 to both sides
x = 82/3 or x = 27 1/3
Use what have for x to solve for the angle measures.
Angle AOB:
x + 8
(27 1/3) + 8
35 1/3°
Angle BOC:
2x
2(27 1/3)
54 2/3°
Check.
35 1/3 + 54 2/3 = 90°
Best of Luck!
Suppose that the function LaTeX: f(x) f ( x ) is shifted horizontally to the right by LaTeX: a a , reflected across the LaTeX: x x -axis, and shifted vertically down by LaTeX: b b to become the function LaTeX: g(x) g ( x ) . Write the function LaTeX: g(x) g ( x ) in terms of LaTeX: f(x) f ( x ) and explain each of the shifts
Answer:
[tex]g(x) = (x-a,-y - b)[/tex]
Step-by-step explanation:
Given
Represent f(x) as follows:
[tex]f(x) = (x,y)[/tex]
Transformations:
Horizontally shifted right by a
Reflected across x axis
Vertically shifted down by b
Taking the transformations one after the other.
Horizontally shifted right by a
When a function is shifted right, the resulting function is:
[tex]f' = (x-a,y)[/tex]
Reflected across x axis
Here, the x axis remains unaltered while the y axis is negated
[tex]f' = (x-a,y)[/tex]
becomes
[tex]f" = (x-a,-y)[/tex]
Vertically shifted down by b
When a function is shifted down by b, the resulting function is:
[tex]f"' = f" - b[/tex]
i.e, subtract b from the function (f(x) or y, as the case may be)
So, we have:
[tex]f"' = (x-a,-y - b)[/tex]
Represent f"' with g(x)
[tex]g(x) = (x-a,-y - b)[/tex]
can somebody please help me with this
Answer:
x=35 degrees
y=85 degrees
Step-by-step explanation:
2x+25=3x-10
x=35
2*35+25=95
180-95=85
Answer:
y=85
Step-by-step explanation:
2x+25 and 3x-10 are reflexive angles, which means they are equal.
First, we must find [tex]x[/tex]. We can do [tex]2x+25&=3x-10[/tex], x=35. We can now do [tex]2\cdot(35)+25=70+25=95[/tex]. There are 180 degrees on that line, which means that [tex]y=180-95=85.[/tex]
Solve for : x
6x+34+ 8x+14
my last one please helpp
Answer:
x = 10
Step-by-step explanation:
8x + 14 = 6x + 34 (vertically opposite angles are equal)
Rearrange
2x = 20
x = 10
Answer:
x=10
Step-by-step explanation:
So we know that they are equal to each other.
so 6x+34=8x+14
-6x
34=2x+14
-14
20=2x
/2
x=10
*EXTRA POINTS PLEASE ANSWER* What is the slope and y-intercept in the equation y = x - 4. *
Answer:
slope: 1
y-intercept : (0, -4)
Step-by-step explanation:
hope this helps! :D
Answer:
x-intercept(s): (4,0)
y-intercept(s): (0,-4)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
Which is true about x, the quotient of the division problem shown below? х 81 918 O The quotient contains a repeating decimal. O The quotient contains a terminating decimal. O The quotient is a whole number less than 11. O The quotient is a whole number greater than 11
Answer:
The answer is choice 2 and 3, that is "The quotient has a final decimal and the whole number is less than 11".
Step-by-step explanation:
The product of a ratio: amount (r) over other(s) (variance from 0) becomes mandatory to note this quotient and in the following case Thus q is = 0.0882352941.
[tex]\to \frac{81}{918}= 0.0882352941[/tex]
It wasn't a repeating decimal, however a final decimal, so it's got an end.
Its quotient may be less than 11 in total.
Numbers of W = {0,1,2, ...} and 0 < 11 are provided for this entire series of data therefore It's real .
Answer:
a
Step-by-step explanation:
I need help with this please!!
Answer:
The correct choices would be A, C, D & F. Correct me if I'm wrong :)
An eagle takes off from the top of a cliff that is 125 meters high and flies upward. After t seconds, the height at which the eagle is flying is given by the equation h(t) = 125 + 1.25t2 where t is in seconds. Find the instantaneous velocity of the eagle at t = 3 seconds. Round your answer to one decimal place.
Answer:
The instantaneous velocity of the eagle at the given time is 7.5 m/s.
Step-by-step explanation:
Given;
height of the cliff, h = 125 m
the height at which the eagle is flying, h(t) = 125 + 1.25t²
The velocity of the eagle is given by;
v = dh/dt
v = 2.5t
The instantaneous velocity of the eagle at t = 3 seconds is given by;
v = 2.5(3)
v = 7.5 m/s
Theerefore, the instantaneous velocity of the eagle at t = 3 seconds is 7.5 m/s.
Please help i’ll give brainliest
Answer:
C
Step-by-step explanation:
Angle Bisector means the line is being split in half evenly. So, when angle 3 is 60, so is angle 4. Angles 1 and 2 are both 30 degrees because 30 + 60 equals to 90 degrees.
I hope this helps!
Answer:
60⁰..................
please help find the slope!!
Answer:
undefined
Step-by-step explanation:
I don't know if it's correct or not. But hope it is
Answer:
-7
Step-by-step explanation:
The slope is y/x and y in this case equals -7 while x is +1 so it's -7/1 or just -7
What is the population growth rate of a country with an initial population of 100 million and a
population of 500 million 60 years late?
a. 02%
b. 1.2 %
c 2.1%
d. 2.7%
Answer:
its answer C 2.1%
Step-by-step explanation:
-2 ( 1/4x + 2) > or equal to 5
John Henry took his sons to lunch and the total amount of the check was $42.80. He wants to leave a 20% tip. What will be the total amount he will spend?
Answer:
$42.80 check
x.20 tip
$8.56
Then add the the total check $42.80 +$8.56 = $51.36 John will spend
Step-by-step explanation:
to find the tip multiply the total by the tip
if 10% x it by .10
if 16% x it by .16
if 25 % x it by.25 and so on then add that to the total of the bill
Answer:
See below.
Step-by-step explanation:
Divide to turn the percentage into decimal form.
[tex]\frac{20}{100} =.20[/tex]
Multiply the percentage by the amount.
[tex]42.80*.20=8.56[/tex]
Add them together.
[tex]42.80+8.56=51.36[/tex]
Answer: [tex]51.36[/tex]
:)
Makinzee bikes 64.4 miles in 4 hours. What is her average rate of miles per hour?
Pls help
Answer:
16.1 mph is your rate
Step-by-step explanation:
Answer:
16.1 per hour
Step-by-step explanation:
just divide the mile by the hours.
64.4 / 4
Which is NOT true?
A
15 = 15
B
15 = 18 - 3
C
15 + 3 = 11 + 7
D
15 + 3 = 15 + 13
Answer:
D 15 +3=15+13
Step-by-step explanation:
Expression 15 + 3 = 15 + 13 is not true because left hand side is not equal to right hand side. Option D is correct.
Given that,
From options
A. 15 = 15 B. 15 = 18 - 3 C. 15 + 3 = 11 + 7 D.15 + 3 = 15 + 13
The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.
In mathematics, it deals with number of operations according to the statements
In the question is to be determined which is not true, by analyzing that LHS and RHS of the expression should be equal
A. 15 = 15
LHS = RHS
B. 15 = 18 - 3
LHS = RHS
C. 15 + 3 = 11 + 7
LHs = RHS
D.15 + 3 = 15 + 13
18 ≠ 28
LHS ≠ RHS
Thus, 15 + 3 = 15 + 13 is not true. Option D is correct.
Learn more about simplification here: https://brainly.com/question/12501526
#SPJ2
divide 1/4 / 2/3
help
Step-by-step explanation:
1/4 / 2/3
= 1/4÷2/3
= 1/4 ×3/2 ( reciprocal 2/3)
=3/8
this is the answer
What is the equation of the line with a slope of 2/3 and a y-intercept of 4?
Answer:
y = 2/3x + 4
Step-by-step explanation:
A computer store is having a clearance sale. All items are discounted by 35%. What is the sale price of a disc drive that regularly costs $40?
Answer:
$14
Step-by-step explanation:
help me out and i will give u brainliest
Answer:
Compound: -2≤X<5
Conjunction: ≤ or <
Step-by-step explanation:
When the dot is filled it is a ≤ or ≥
When the dot isn't filled its a < or >
-4 is on the left and 5 is on the right
Mariah and Jakob have $35 to spend at the fair. Jakob takes a ride that costs $13 then takes another ride that costs more than the last ride. Mariah spends $10 on 3 cake pops. Then spends five more dollars on the photo booth with Jakob, only Mariah spends her money on the photo booth. How much does the other ride cost for Jakob. How much money does Mariah spend on the photo booth?
Answer:
The cost of the other ride Jacob took = $22
The amount Mariah spends on the photo boot with Jacob = $5
Step-by-step explanation:
The given information are;
Whereby the question states that amount Mariah and Jacob each have to spend = $35
The amount Jacob spends on the first ride = $13
The amount Mariah spends on the 3 cup cakes = $10
The amount Mariah spends on the photo boot with Jacob = $5
Let the cost of the other ride Jacob took = R
Given that Jakob spent all his available money at the fair, we have;
35 = 13 + R
R = 35 - 13
R = $22
Therefore, the cost of the other ride Jacob took = R = $22
The amount Mariah spends on the photo boot with Jacob = $5.
Find the equation of the line of the below:
Answer:
y = -x + 9
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
(0, 9) y-intercept
(9, 0) x-intercept
Step 2: Find slope m
[tex]m=\frac{0-9}{9-0}[/tex]
[tex]m=\frac{-9}{9}[/tex]
[tex]m=-1[/tex]
y = -x + b
Step 3: Write linear equation
y = -x + 9
Answer:
y = -x + 9
Step-by-step explanation:
Slope Formula:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
(0, 9) y-intercept
(9, 0) x-intercept
Step 2: Find slope m
y = -x + b
Step 3: Write linear equation
y = -x + 9