What must be added to each term of the ratio 2:5 so that it maay be equal to 5:6

Please give explanation

Answers

Answer 1

9514 1404 393

Answer:

  13

Step-by-step explanation:

Let n represent that number.

  (2 +n)/(5 +n) = 5/6 . . . . . . . . n is added to numerator and denominator

  6(2 +n) = 5(5 +n) . . . . . . . . . multiply by 5(5+n)

  12 +6n = 25 +5n . . . . . . . . . eliminate parentheses

  n = 13 . . . . . . . . . . . subtract 5n+12

Adding 13 to each term will give 5/6.

__

Check

  (2 +13)/(5 +13) = 15/18 = (3·5)/(3·6) = 5/6

_____

Alternate solution

The difference of denominator and numerator in 2/5 is 5-2 = 3. The difference of denominator and numerator in 5/6 is 6-5 = 1. In order to make the latter difference 3, we must have (3/3)(5/6) = 15/18. We can get 15/18 from 2/5 by adding 13 to numerator and denominator.


Related Questions

Given l | m | n, find the value of x.
Z
m
54°
→n
8
Submit Answer
Answer: 2 =
attempt 1 out of 2
Plsssssssss helppppp

Answers

Answer:

126

Step-by-step explanation:

54 + x = 180

x = 180 - 54

x = 126

Help needed ASAP , thank you!

Answers

Answer:

rhombus has all angles=90 degress

given the preimage and image, find the dilation scale factor​

Answers

Given:

The preimage and image of a triangle in the given figure.

To find:

The dilation scale factor.

Solution:

From the given figure it is clear that the vertices of the triangle ABC are A(-2,-2), B(-1,2) and C(2,1).

The vertices of the triangle A'B'C' are A'(-4,-4), B'(-2,4) and C'(4,2).

If a figure is dilated by factor K with (0,0) as the center of dilation, then

[tex](x,y)\to (kx,ky)[/tex]

Let the scale factor be K, then the image of point A is:

[tex]A(-2,-2)\to A'(k(-2),k(-2))[/tex]

[tex]A(-2,-2)\to A'(-2k,-2k)[/tex]

From the given figure it is clear that the image of point A is A'(-4,-4).

[tex]A'(-2k,-2k)=A'(-4,-4)[/tex]

On comparing both sides, we get

[tex]-2k=-4[/tex]

[tex]k=\dfrac{-4}{-2}[/tex]

[tex]k=2[/tex]

Therefore, the dilation scale factor is 2.

plzz help steps if possible if not its ok j=i just need to pass this class

Answers

Answer:

[tex]\text{(B) }\cos 40^{\circ}=\frac{x}{60}[/tex]

Step-by-step explanation:

In any triangle, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse (longest side) of the triangle. (a/h)

The angle marked 40 degrees has an adjacent side of [tex]x[/tex] and the hypotenuse of the triangle is 60.

Therefore, we have the equation:

[tex]\boxed{\cos 40^{\circ}=\frac{x}{60}}[/tex]

Find Point P is the incenter of DEF . point p of concurrency of the angle bisectors . find PT

Answers

PT is 8 because since P is the incenter it's equidistant from all sides.

Candice bought 6 dozen eggs and broke 9 eggs how many eggs did she have left

Answers

Answer:

63

Step-by-step explanation:

12x6=72

72-9=63

the answer is 63

Answer: 63 eggs


Step 1: Find initial amount of eggs

Before we can solve for how many eggs are left, we must first find out how many eggs Candice initially had. We are told she bought six dozen eggs. Since a dozen is twelve, we can find out how many eggs she had by multiplying twelve and six. Let’s do this now.

6×12= 72

Step 2: Find solution

Now let’s solve for how many eggs Candice has left. We know that she bought 72 eggs, and that she broke 9. To find the answer, we need to subtract 9 from 72.

72-9= 63


Hope this helps! Comment below for more questions.

Six teachers and 12 students volunteer for a committee to discuss extra-curricular activities. How many committees of 5 people can be made if:

a) there must be exactly 3 students on the committee

b) there must be at least one teacher and at least one student on the committee

Answers

Answer:

a) 11,880

b) 7,770

Step-by-step explanation:

The number of teachers that volunteer = 6 teachers

The number of students that volunteer = 12 students

The number of people in the committee = 5 people

a) The exact number of student on the committee = 3 student

Therefore, the number of teachers in the committee of 5 = 5 - 3 = 2

The number of teachers in the committee = 2 teachers

We get;

The number of committees that can be made = ₁₂C₃ × ₆C₂ = 792×15 = 11,880

b) When there is at least one teacher and at least one student on the committee, we have;

₁₂C₄ × ₆C₁ + ₁₂C₃ × ₆C₂ + ₁₂C₂ × ₆C₃ + ₁₂C₁ × ₆C₄ = 7,770

The number of committees having at least one teacher and at least one student = 7,770

An old-fashioned Chinese restaurant offers a family dinner where you get to choose one dish from “column A” (which has 8 dishes), one dish from “column B” (which has 10 dishes) and one dish from “column C” (which has 5 dishes). How many different family dinners can be chosen?

There are ___ possible dinners.

Answers

Answer:

There are 400 possible dinners.

Step-by-step explanation:

There are 8 dishes to choose from column A. For each of these 8 dishes, there are 10 dishes to pair with. For each of these 10 dishes, there are 5 dishes to go with from column C.

Therefore, multiply to get [tex]8\cdot 10\cdot 5=\boxed{400}[/tex] possible dinners.

*Note: Since the order of which you choose is fixed, we do not need to account for rearrangements of the same three dishes.

7. Complete the square to write
c(x)= x2 – 16x + 84 in vertex form.

Answers

Answer:

(x-8)²+20  vertex=(8,20)

Step-by-step explanation:

(x-8)² = -20

Graphing Form: y = 1(x-8)²+20    

Melinda walked to the mall at 4 miles per hour and then rode back home in a bus at 24 miles per hour. If her total traveling time was 14 hours, how far was it to the mall?

Answers

Given:

Melinda walked to the mall at 4 miles per hour and then rode back home in a bus at 24 miles per hour.

Total traveling time was 14 hours.

To find:

The distance between Melinda's house and mall.

Solution:

Formula used:

[tex]Time=\dfrac{Distance}{Speed}[/tex]

Let x miles be the distance between Melinda's house and mall.

Melinda walked to the mall at 4 miles per hour. So, the time taken by Melinda is [tex]\dfrac{x}{4}[/tex] hours.

Speed of bus is 24 miles per hour. So, the time taken by bus is [tex]\dfrac{x}{24}[/tex] hours.

Total traveling time was 14 hours.

[tex]\dfrac{x}{4}+\dfrac{x}{24}=14[/tex]

[tex]\dfrac{6x+x}{24}=14[/tex]

[tex]7x=14\times 24[/tex]

Divide both sides by 7.

[tex]\dfrac{7x}{7}=\dfrac{14\times 24}{7}[/tex]

[tex]x=2\times 24[/tex]

[tex]x=48[/tex]

Therefore, the mall is 48 miles far from Melinda's house.

please help me out asap
(geometry)

Answers

Answer:

x = 30

Step-by-step explanation:

If A and B were parallel, then 2x + 50 and 5x - 80 are same- side interior angles and sum to 180° , then

2x + 50 + 5x - 80 = 180

7x - 30 = 180 ( add 30 to both sides )

7x = 210 ( divide both sides by 7 )

x = 30

Identify the value of y.

Answers

y is 4 i believe :) sorry if its wrong

Answer:

y = 3

Step-by-step explanation:

A group of 2 adults and 4 children spent $38 on tickets to a museum. A group of 3 adults and 3 children spent $40.50 on tickets to the museum. Based on this information, how much is an adult ticket, and how much is a child ticket?

Answers

Answer:

adult $8.00

child $5.50

Step-by-step explanation:

Let the price of 1 adult ticket = x.

Let the price of 1 child ticket = y.

2x + 4y = 38

3x + 3y = 40.5

Multiply the first equation by 3. Multiply the second equation by -2. Then add them.

         6x + 12y = 114

(+)      -6x - 6y = -81

-----------------------------

                  6y = 33

y = 33/6

y = 5.5

2x + 4y = 38

2x + 4(5.5) = 38

2x + 22 = 38

2x = 16

x = 8

Answer:

adult $8.00

child $5.50

Answer:

An adult ticket is $8.00 and a child's ticket is $5.50.

Step-by-step explanation:

We form a system of 2 equations and solve them.

Let a be the price of adult ticket and c the price of a child's.

2a + 4c = 38         (A)

3a + 3c = 40.5      (B)

Multiply equation A by 3 and equation B by -2:

6a + 12c = 114

-6a - 6c = -81        Adding these 2 equations:

0 + 6c = 33

c = 33/6 = 5.5.

Now we substitute for c in equation A:

2a + 4(5.5) = 38

2a = 38 - 22

2a = 16

a = 6.

Let's now check these results by substitution in equation B:

3a + 3c = 40.5

3(8) + 3(5.5) = 24.0 + 16.5 = 40.5

- so it checks out.

For males in a certain town, the systolic blood pressure is normally distributed with a
mean of 110 and a standard deviation of 6. Using the empirical rule, what percentage
of males in the town have a systolic blood pressure
between 92 and 128?

Answers

Answer:

99.7%

Step-by-step explanation:

Note that 92 and 128 are 3 standard deviations from the mean

The emperical rule or the  68–95–99.7 rule states that 68% of outcomes are wihtin 1 standard deviation from the mean

95% of outcomes are within 2 standard deviations from the mean

99.7% of outcomes are within 3 standard devations from the mean

This is 3 standard deviations so the answer is 99.7

Which equation is quadratic in form?
6(x + 2)2 + 8x + 2 + 1 = 0
6x4 + 7x2 – 3 = 0
5x6 + x4 + 12 = 0
x9 + x3 – 10 = 0

Answers

Answer:

6(x + 2)^2 + 8x + 2 + 1 = 0

Step-by-step explanation:

A quadratic equation has the variable with the highest power of 2

6(x + 2)^2 + 8x + 2 + 1 = 0  when foiled out it has the highest power of 2

6x4 + 7x2 – 3 = 0  power of 4

5x6 + x4 + 12 = 0 power of 6

x9 + x3 – 10 = 0  power of 9

Answer:

C (the third option)

Step-by-step explanation:

the reason that C is in quadratic form is because the first exponent is a multiple of the following exponent (s)

That is the easiest way I've learned to determine if an equation is quadratic or not. Keep in mind the equation will not always be in simples form so make sure you simplify it all the way.

Hope this Helps <3

Which is f(-3) for the quadratic function graphed?
O-9
2
-3
- 10
6
4
X
OO
-2
09
Save and Exit
Next
Submit
Mark this and retum

Answers

Answer:

f(-3) = -9

General Formulas and Concepts:

Algebra I

Reading a coordinate planeFunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

We are given a graph of a quadratic function f(x).

Step 2: Evaluate

f(-3) is x = -3 for the function f(x). According to the graph, when x = -3, y = -9.

∴ f(-3) would equal -9.

The value of f(-3) from the graph of the quadratic function is -9

What is a polynomial?

A polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables. Polynomials are classified based on degree as linear, quadratic, cubic etc.

A quadratic equation is a polynomial of degree 2.

The value of f(-3) can be obtained from the graph. From the graph, the value of f(-3) is -9

The value of f(-3) from the graph of the quadratic function is -9

Find out more on polynomial at: https://brainly.com/question/2833285

What's the slope of (2, 1) (4,5)

Answers

Answer:

[tex]\displaystyle m = 2[/tex]

General Formulas and Concepts:

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

Point (2, 1)

Point (4, 5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{5 - 1}{4 - 2}[/tex]Subtract:                                                                                                            [tex]\displaystyle m = \frac{4}{2}[/tex]Simplify:                                                                                                             [tex]\displaystyle m = 2[/tex]

Show and explain all of the steps used in order to simplify the following rational expression 3x^(2)-3x / 3x^(3)-6x^(2)+3x to 1 / x-1.

Answers

Answer:

3x^2 + x^4 - x^3 + 3 - 6x

Step-by-step explanation:

Find Least Common Multiplier of 3x^(2)-3x / 3x^(3)-6x^(2)+3x to 1 / x-1

3x^2 - 3 . x/3 x^3 - 6x^2 + 3x

Apply exponent rule: a^b + c = a^b a^c

x^2 = xx, x^3 x/3 = xx^2, x^2 = xx

= 3xx - 3xxx - 6xx + 3x

Rewrite -6 as 2 . 3

= 3xx - 3xxx + 2 . 3xx + 3x

Factor out common term 3x

= 3x(x - x^2(x/3) -2x + 1)

= 3x(- x^3/3 - x + 1)

Multiply each factor with the highest power:

(- x^3/3 - x + 1) . 3 . (1/x - 1\) . x

Simplify

3x^2 + x^4 - x^3 + 3 - 6x

PLEASE HELP ME ASAP

Malala is following this recipe for bread rolls.
She uses 500ml of water.
How much of each ingredient does she use?

Recipe: Makes 15 bread rolls.
480g flour
12g salt
6g yeast
30ml oil
600ml water

Answers

Answer & Step-by-step explanation:

500 is roughly about 83% of 600 (we know this because 500/600 = 0.833)

If she is following the recipe, then if she is using 83% of the water shown in the recipe, then she will be putting in about 83% of every ingredient.

480 * 0.83 = 398g flour

12 * 0.83 = 9.96g salt

6 * 0.83 = 4.98g yeast

30 * 0.83 = 24.9ml oil

and 500ml water

which point is on the line that passes through point H and is perpendicular to line FG?

Answers

Answer:

The correct answer is (-6, 10).

Step-by-step explanation:

You can find the equation of the blue line and then find out which point is on the perpendicular line to that blue line but you also can figure this out visually by looking at where the points are.

Feel free to message me if you still have questions :)

Answer:

(–6, 10)

Step-by-step explanation:

Create a line that is parallel to A⁢B↔ and passes through point C.​

Answers

Draw 2 lines parallel to each other (AB and line B). Draw a point on line B and label it "C"

What type of slope is demonstrated by the line below? 5 (-1,3) --5 5 (0.-2)
A. Zero slope
B. Positive slope
C. Undefined slope
D. Negative slope

Answers

Answer:

D. Negative slope

Step-by-step explanation:

The slope goes down from left to right, so it is a negative slope

Up from left to right is a positive slope

A vertical line is undefined

A horizontal line is zero slope

What is the lateral area of the pyramid shown below?
26 ft.
20 ft.
20 ft.

Answers

Answer:

Your correct answer is 1514.27

Step-by-step explanation:

Here is my step by step for you!

Find the area of the triangle.

A. 27.8km^2
B. 32.8 km^2
C.14.9 km^2
D. 54.8km^2

Answers

Answer:

32.8 mi²

Step-by-step explanation:

Hi there!

Area of a triangle when given two sides, a and b, and the angle that conjoins them, C:

[tex]A=\frac{1}{2} ab*sinC[/tex]

Plug in the known information:

a=11, b=6, C=97°

[tex]A=\frac{1}{2} (11)(6)*sin(97)\\A=33sin(97)\\A=32.8[/tex]

Therefore, the area of the triangle is approximately 32.8 mi².

I hope this helps!

Answer:

B

Step-by-step explanation:

The trick here is to find the height. The answer is

height = sin(180 - 97) * 11

The height is found by finding the supplement of 97, taking the sin of that angle and multiplying by 11.

There is a drawing required. You need to extend ZY until a line from x meets ZY (extended) at right angles. When that happens you find the sine of the supplement.

height = sin(83)*11

height = 10.92

Now use the standard area formula.

Area = base (ZY) * height / 2

base = 6

height = 10.92

Area = 6 * 10.92 /2

Area = 32.75

A bus travels 90 km in 1.5 hours (with a constant speed). How far can it travel in 7.2 hours (with the same speed)?​

Answers

Answer:

distance=90km

time=1.5h

speed of the bus=distance /time

speed of the bus=90km/1.5h

speed of the bus=60km/h

therefore if 1.5h=60km/h

then 7.2h=(7.2x60)/1.5 =288km

Find the missing segment

Answers

Answer: x=78
Step by step explanation: You can find one side by subtracting 12 from 48 which gets you this set up 26/12=x/36, resulting in 12x=936, the final step is to divide both sides by 12 which provides you with the final answer of 78

I need to verify this function is symmetric with respect to the y-axis. How would I go about doing that? Function: x^4-5x^2+3

Answers

Answer:

[tex]f(x) = x^4-5x^2+3[/tex] is symmetric to the y-axis

Step-by-step explanation:

Given

[tex]f(x) = x^4-5x^2+3[/tex]

Required

Determine if it is symmetric

First, we check if the function is even by calculating f(-x)

[tex]f(x) = x^4-5x^2+3[/tex]

[tex]f(-x) = (-x)^4-5*(-x)^2+3[/tex]

[tex]f(-x) = x^4-5*x^2+3[/tex]

We have:

[tex]f(x) = f(-x) = x^4-5*x^2+3[/tex]

This implies that the function is even, and even functions are symmetric to the y-axis.

Hence:

[tex]f(x) = x^4-5x^2+3[/tex] is symmetric to the y-axis

Find the domain and explain pls and thankyouuu

Answers

Answer:

[tex]x\neq 0\\x\neq 2[/tex]

Step-by-step explanation:

simplify the equation: [tex]\frac{6}{x(x-2)}[/tex]

Since the denominator can never equal 0, x can never equal 0 or 2.

Meaning that the domain is any x-value other than 0 or 2.

need help with part b of the attached screenshot please

Answers

9514 1404 393

Answer:

  (b) 82.9253

Step-by-step explanation:

The first attachment shows the rectangles. The second shows the sum of their areas.

Find PR given the mid-segment?

Answers

Answer:

im not sure but i think it might be 10??

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