Answer:
x : y = 9 : 13
Step-by-step explanation:
Given that
3x - y : x + 2y = 2 : 5
Express the ratio in fractional form, that is
[tex]\frac{3x-y}{x+2y}[/tex] = [tex]\frac{2}{5}[/tex] ( cross- multiply )
5(3x - y) = 2(x + 2y) ← distribute parenthesis on both sides )
15x - 5y = 2x + 4y ( subtract 2x from both sides )
13x - 5y = 4y ( add 5y to both sides )
13x = 9y ( divide both sides by 13 )
x = [tex]\frac{9}{13}[/tex] y ( divide both sides by y )
[tex]\frac{x}{y}[/tex] = [tex]\frac{9}{13}[/tex] , that is
x : y = 9 : 13
Jordan is five years older than twice Amanda's age. Their combined age is 38 years.
What is Jordan's age?
Answer:
27
Step-by-step explanation:
Let a represent Amanda's age. Then Jordan's age is 2a+5, and the combined ages are ...
a +(2a+5) = 38
3a = 33
a = 11
So, Jordan's age is ...
2(11) +5 = 27
Steve and Michelle Neely are celebrating their 30th anniversary by having a reception at a local reception hall. They have budgeted $4,000 for their reception. If the reception hall charges a $80 cleanup fee plus $39 per person, find the greatest number of people that they may invite and still stay within their budget.
Answer:
100 people.
Step-by-step explanation:
$4,000 (total budget) - $80 (clean-up fee) = $3,920
$3,920 divided by $39 per person = 100.51
A total of 100 people could be invited for the Neely's to stay within their budget.
The greatest number is 100 people that they may invite and still stay within their budget.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
We have been given that they have budgeted $4,000 for their reception. If the reception hall charges an $80 cleanup fee plus $39 per person.
We have to determine the greatest number of people that they may invite and still stay within their budget.
Here total budget = $4,000
And clean-up fee = $80
Apply the subtraction operation,
⇒ 4,000 - 80
⇒ 3,920
We need 3,920 divided by $39 per person for finding the greatest number of people that they may invite.
⇒ 3,920/39
⇒ 100.51
Therefore, the greatest number is 100 people that they may invite and still stay within their budget.
Learn more about Arithmetic operations here:
brainly.com/question/25834626
#SPJ2
Perimeter 94 cm and length 39. What’s the width
Answer:
8
Step-by-step explanation:
Take the length and multiply it by 2. then take your answer and multiply it by the perimeter. Then, take that answer and divide it by 2. Hope this helps :)
Hello.
To find the perimeter of a rectangle, use the formula P = 2(l + w).
Input 39 as l.
94 = 39 + 39 + w + w
Simplify
94 = 78 + 2w
Subtract the two known numbers
94 - 78 = 16
16 = 2w
So that means w = 8.
The width is 8.
Solve for a.
7a + 18 = 102
a =
Answer:
a=12
Step-by-step explanation:
7a+18=102
first, subtract 18 FROM BOTH SIDES!
then you get 7a=84.
next, divide BOTH SIDES by 7
and you get a =12 :)
It is 7 kilometers from kerrys house to the mall. About what is that distance in miles?
Answer:
4.3496
Step-by-step explanation:
its so easy to find them but just look it up
A recipe that makes 18 cookies calls for 3/4cup of sugar how much sugar is needed to make 2 dozen cookies using this recipe
Answer:
Use 1 cup sugar to make 2 dozen (24) cookies.
Step-by-step explanation:
Recall that 1 dozen = 12 pieces
Write and solve an equation of ratios: # of cookies on one side and # of cups of sugar on the other side:
18 cookies (3/4) cup sugar
--------------------- = ------------------------
24 cookies x
Cross-multiplying results in:
18x = 18, so that x must be 1.
Use 1 cup sugar to make 2 dozen (24) cookies.
Determine whether the lines are parallel, perpendicular or neither.
Line 1: 5y+3x = 1
Line 2: 6y+10x = -3
O Parallel
O Perpendicular
O Neither
Answer:
Neither.
Step-by-step explanation:
The gradients to the line are not co-related.
What is the slope of the line 4x - 2y = 5?
Answer:m=4/2
Step-by-step explanation:
u subtract 4 to get y alone
then u dived by a -2y to get y alone
then u u get y=-4/2x-5
The Tradewinds Shipping Company charges $15 flat fee plus $5 per pound to ship an overnight package. The Lucy Lu
Shipping Company charges $30 flat fee plus $2 a pound to ship an overnight package.
For what weight is the charge the same for the two companies?
Answer:
$52
Step-by-step explanation:you add them together
Answer:
the weight for both companies to be the same is 5 pounds
Step-by-step explanation:
A recipe for a loaf of bread calls for 2/3 of a cup of flour. If Milo used 12 cups of flour, how many loaves of bread did he prepare?
A. 18 B. 16 C. 15 D. 12 E. 8
Answer:
8
Step-by-step explanation:
12 * 2
3
= 24
3
= 8
Therefore the answer is E. 8
Answer: The answer is D 12 i am pretty sure.
identify each letter of the slope intercept equation y=m×+b
Answer:
mx is your slope and b is your y-intercept
Step-by-step explanation:
Is 9/25 rational or irrational?
Answer:
rational
Step-by-step explanation:
cause it's a fraction
Answer: Rational
Step-by-step explanation: Any number that can be written as a fraction is rational.
Even if the decimal equivalent is unusually long and/or repeating.
1/3 is rational 0.333333.... is rational
2/7 is rational 0.285714285714..... is rational
[tex]\sqrt{3}[/tex] is irrational π is irrational
If ∠T and 60˚ form a linear pair what is the measure of ∠T *
Answer:
120°
Step-by-step explanation:
angle T + 60°=180° [:. being linear pair ]
or , angle T = 180°-60°
or,angle T = 120°
Determine a and b so that figure ABCD is a parallelogram
Answer:
C(8,2)
That is the answer for a and b
Please help me solve this!
This is in my homework, and I don’t understand how to do it
cross multiply and solve for x. x is about 6.43
Answer:
x = 45/7 or 6.428 (6.43)
Step-by-step explanation:
1 pts Question 5 3.c. A map of a rectangular park has a length of 4 inches and a width of 6 inches. It uses a scale of 1 inch for every 30 miles. The map needs to be reproduced at a different scale so that it has an area of 6 square inches and can fit in a brochure. At what scale should the map be reproduced so that it fits on the brochure? 1 inch to___ miles
Answer:
The actual area 21600 miles²
Step-by-step explanation:
Lets explain how to solve the problem
- A drawing that shows a real object with accurate sizes reduced or
enlarged by a certain amount called the scale
- Drawing scale is a ratio between the drawing length and the
actual length
- To find the actual dimensions from the drawing dimensions use the
scale drawing
* Lets solve the problem
- A map of a rectangular park has a length of 4 inches and a width
of 6 inches
∴ The drawing dimensions are:
# length = 4 inches
# width = 6 inches
- The scale of the map is 1 inch foe every 30 miles
∴ The scale drawing is 1 : 30
- To find the actual area find the actual dimensions
∵ The scale drawing is 1 : 30
∵ The length = 4 inches and the width = 6 inches
- By using cross multiplication
∴ 1 : 30
4 : actual length
6 : actual width
∴ Actual length = (4 × 30)/1 = 120
∴ Actual length = 120 miles
∴ Actual width = (6 × 30)/1 = 180
∴ Actual Width = 180 miles
∴ The actual dimensions are 120 miles and 180 miles
∵ The area of any rectangle = length × width
∴ The actual area = 120 × 180 = 21600
∴ The actual area 21600 miles²
plss answer asap i will give brainliest
Part (a)
Answer: -2-----------
Explanation:
Draw a vertical line through -2 on the x axis. This vertical line will cross the blue parabola at some point P. From point P, draw a horizontal line to the y axis. You should arrive at y = -2. Figure 1, in the attached diagram below, shows this process.
================================================
Part (b)
Answers: x = -3 or x = 1-----------
Explanation:
Draw a horizontal line through y = 1 on the y axis. This is because y = f(x).
This horizontal line crosses the parabola at two places. Drop a vertical line straight down to the x axis to note the x values that make f(x) = 1 true.
You should find the solutions to be x = -3 and x = 1
See figure 2.
Find the y and x and the given slope of the given line: Line E.
Answer:
change in y: 0
change in x: 5
slope: 0
Step-by-step explanation:
Sub these two points from Line E into the gradient formula (you can search this up on the internet) and you would get 0/5
Points: (1,3) and (6,3)
Rise over run
3-3 over 6-1
0/5 and the answer is 0
Generally, when it asks you to find the slope of a horizontal line, its always 0
a number is greater than or equal to -4
Answer:
n[tex]\geq[/tex]-4
Answer: x ≥ -4
Step-by-step explanation:
Since an unknown number is greater than or equal to -4, it would be written as x ≥ -4. Some numbers greater than or equal to -4 include -4, -3, -2, -1, 0, and 1.
thank u so much much appreciated
Answer:
A
Step-by-step explanation:
The definition of a parrelelogram is "a four-sided plane rectilinear figure with opposite sides parallel". Since you already know that EH and Fg are equal because of the black ticks on them. Now you only need to find out wheter or not EF≅HG to meet the criteria of a parrelologram.
Answer:
Step-by-step explanation:
A
Is it possible to create a regular tessellation using a regular decagon? Explain. Yes, 2 decagons with a common vertex will have interior angle measures that sum to 360. Yes, 3 decagons with a common vertex will have interior angle measures that sum to 360. Yes, all of the angles and sides of each decagon are congruent. No, a tessellation of 2 decagons will have a gap, and a tessellation of 3 decagons will overlap.
Answer:
The answer on edge 2020 is D.No, a tessellation of 2 decagons will have a gap, and a tessellation of 3 decagons will overlap.
Step-by-step explanation:
I took it and passed!
Answer:
D is right on edge
Step-by-step explanation:
just did it
I need y’all please help me 5
Answer:
Yes
Step-by-step explanation:
She could have because she wants to rent it for 3 hours, and they charge $2 for each hour.
3*2=6
Add the $10 fee. 6+10=16
$16.
She has enough money because she paid less than $27
which property is needed to solve x/5=13
Answer: Multiplication property of equality
This is the idea that if a = b, then a*c = b*c for any real numbers a,b,c
It allows us to multiply both sides by the same number.
In this case, we multiply both sides by 5 to get
x/5 = 13
5*(x/5) = 5*13 ... multiplying both sides by 5
x = 65
please answer asap!!
Answer:
k = 3
Step-by-step explanation:
Assuming the values in the table are in direct proportion, then
y = kx ← is the equation relating x and y with k the constant of proportion, thus
k = [tex]\frac{y}{x}[/tex]
To find k substitute (28, 84 ) into the equation
k = [tex]\frac{84}{28}[/tex] = 3
How much is 25 pens for $19.75.
Answer:
$493.75
Step-by-step explanation:
25 × 19.75 = $493.75I hope this helps!
If f(x) = (1/8)(8^x), what is f(3)?
Answer and work down below. Let me know if you have any questions
Answer:
64
Step-by-step explanation:
f(3)=64
Combine like terms:
-7+15x+10y+5x^2-10y+7
Answer:
5x^2+15x
Step-by-step explanation:
Answer:
0+0y+15x+5x^2
Step-by-step explanation:
first you have to combine like terms like -7+7 equals 0
then you do 10y-10y equals 0y
then your just left with 15x+5x^2 which you can add because they are not the same
Please Help!!!!!! Will give brainliest
Answer:
55
Step-by-step explanation:
whyeyeyeyeuwu2u2727277e3
-(-10x-8)=-(4x+10)
A)-4
B)-2
C)-3
D)3
show work
Answer:
None of given x = -1²/₇Step-by-step explanation:
-(-10x - 8) = -(4x + 10)
10x + 8 = -4x - 10
-8 -8
10x = -4x - 18
+4x +4x
14x = -18
÷14 ÷14
x = -¹⁸/₁₄ = -⁹/₇ = -1²/₇
I think you meant -(10x-8)=-(4x+10)
Then:
-(10x - 8) = -(4x + 10)
-10x + 8 = -4x - 10
-8 -8
-10x = -4x - 18
+4x +4x
-6x = -18
÷(-6) ÷(-6)
x = 3 D)