The sum of two numbers is 200 and the two numbers are in a ratio of 4:6. Find the larger number.

Answers

Answer 1
Answer: Let's call these numbers 4x and 6x, sum of 4x and 6x will be equal to 200, meaning  10x=200, If we divide both sides by 10, x will be equal to 20 and, the larger number 6x will be equal to, 6*20=120

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Solve algebraically:
Y = x^2 + 5x - 17
Y = x - 5

Answers

Answer:

2

Step-by-step explanation:

What you could do is fill in 2 for the equation and y would equal -3 so for the first one it's like

y= 2^2 + 5(2) -17

y= 4 + 10 - 17 which turns into y= -3

In the second y it would be something like

y= 2 - 5 which would equal y= -3

so x=2

Which is greater 1/3 or 1/8

Answers

1/3= 0.333333

1/8=0.125

So definitely 1/3 is bigger.

1/3 is greater because it is equal to 0.33333...... 
1/8 is equal to 0.125. :D

Ana buys a sweater for $25.60, and it is on sale for 35% off. What is the amount of the discount?

Answers

35 percent times 25.60 equals to 8.96
25.60 minus 8.96 is 16.64

the amount of the discount is 16.64
Hey, Anayaaa!
35*25.60=8.96
25.60-8.96=16.64

Discount=$16.64
I hope this helps;)

What is the next step in the construction of a regular hexagon?​

Answers

The next step will be to use a compass and a straight edge to draw the second equilateral triangle with side AB. Option B is correct

Given that,

To determine the next step in the construction of a regular hexagon.

What is a polygon?

A polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,

Examples of the polygon, equilateral triangle, square, pentagon, etc

Here,
The next step is to draw a straight edge through the corresponding arc to the side AB, to form the second equilateral triangle.

Thus, the next step will be to use a compass and a straight edge to draw the second equilateral triangle with side AB. Option B is correct

Learn more about polygon here:
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Answer:

With compass setting the same as line segment PA, place the compass

at C and draw an arc that intersects the circle ⇒ answer D

Step-by-step explanation:

Lets revise the step of construction a regular hexagon

1. Draw circle with center P; put point A on the circle's edge at

any place

2. With compass setting the same as line segment PA, place the

compass at A and draw an arc that intersects the circle at B

3. With compass setting the same as line segment PA, place the

compass at B and draw an arc that intersects the circle at C

4. With compass setting the same as line segment PA, place the

compass at C and draw an arc that intersects the circle at D

5. Contain with the same step of placing the compass at the previous arc and draw an arc with same distance of PA until you reach point A again, then join each arc on the circle forming the regular hexagon

The given steps are:

Circle with center P; point A is along the circles edge, an arc at point B

is along the circles edge, and an arc at point C is along the circles edge

According to the steps above, the next step is:

With compass setting the same as line segment PA, place the

compass at C and draw an arc that intersects the circle (step 4)

Predictions : brainly.com/question/13382035

Fraction 3/9 reduced to the lowest term

Answers

=1/3 ; 3/9 reduced all the way is 1/3

Answer:

1/3

Step-by-step explanation:

You find a number that goes into both numbers ex) 3

divide top and bottom by 3 to get 1/3

You find a mutual fund that offers approximately 4% APR compoundedmonthly. How much money will you need to invest as a lump sum in order to
have $500 at the end of the year?
A. $507.89
B. $480.40
C. $518.92
D. $492.31

Answers

Final answer:

To have $500 at the end of the year with a 4% APR compounded monthly, you would need to invest approximately $480.40 as a lump sum.

Explanation:

To find the amount of money needed to invest as a lump sum in order to have $500 at the end of the year with an approximate 4% APR compounded monthly, we can use the formula for compound interest:



A = P(1 + r/n)nt



Where:



A = final amount ($500)

P = initial investment (unknown)

r = annual interest rate (4% or 0.04)

n = number of times interest is compounded per year (12)

t = number of years (1)



Plugging the given values into the formula, we can solve for P:



P = A / ((1 + r/n)nt)

P = $500 / ((1 + 0.04/12)12*1)

P ≈ $480.40



Therefore, you would need to invest approximately $480.40 as a lump sum to have $500 at the end of the year.

Learn more about Investment here:

brainly.com/question/34489138

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Answer: 480.40

Step-by-step explanation:

We can use the formula for compound interest to calculate how much money we will need to invest as a lump sum to have $500 at the end of the year.

FV = PV x (1 + r/n)^(nt)

FV = future value

PV = present value

r = interest rate

n = number of times compounded per year

t = time in years

We know that FV = $500, r = 4% or 0.04, n = 12 (since it is compounded monthly), and t = 1. We can plug in these values to solve for PV.

$500 = PV x (1 + 0.04/12)^(12 x 1)

$500 = PV x (1.003333)^12

$500 = PV x 1.0406

PV = $500 / 1.0406

PV = $480.40

Therefore, we will need to invest $480.40 as a lump sum to have $500 at the end of the year. So, the correct option is B. $480.40.