If the ratio of a:b is 4:15 and the ratio of b:c is 5:9, what is the ratio of a:c?

Answer:

[tex]x+5[/tex]

Step-by-step explanation:

[tex]\left(4x-5\right)-\left(3x-10\right)[/tex]

[tex]\mathrm{Apply\:rule}:\quad \left(a\right)=a[/tex]

[tex]\left(4x-5\right)=4x-5[/tex]

[tex]=4x-5-\left(3x-10\right)[/tex]

[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a-b\right)=-a+b[/tex]

[tex]-\left(3x-10\right)=-3x+10[/tex]

[tex]=4x-5-3x+10[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=4x-3x-5+10[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:-5+10=5[/tex]

[tex]=4x-3x+5[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:4x-3x=x[/tex]

[tex]=x+5[/tex]

Molly’s monthly payment by using the Bankrate calculator is $286 per month.

It is given that

The downpayment Molly has = $2500.

Interest rate APR = 1.9%

Cash allowance by dealer = $500

Selling price = $25,495

Loan tenure N= 7 years

Amount of loan needed = 25495-2500-500 = $22495

An equated monthly installment (EMI) is a set monthly payment provided by a borrower to a creditor on a set day, each month.

The EMI or monthly payment will be calculated by the following formula,

[tex]EMI = \frac{P.\frac{APR}{12} .(1+\frac{APR}{12})^N }{(1+\frac{APR}{12})^N-1 }[/tex]

Put APR =0.019(decimal value of APR)

N = 7

EMI = $286 per month.

Therefore, Molly’s monthly payment by using the Bankrate calculator is $286 per month.

To get more about EMI visit:

https://brainly.com/question/25658911

Answer:

Step-by-step explanation:

Average speed = distance/time

Trip to dry dock

Let x be the velocity

Time = 2hours

Distance = average speed ×time

Distance = x×2

Distance = 2x

Return trip

Velocity = x-5 (5 miles per hour faster on the trip there than on the return trip)

Time = 3hrs

Distance = 3(x-5)

Since the distance is the same both to and fro;

2x = 3(x-5)

2x = 3x -15

2x-3x = -15

-x = 15

x = 15

Hence the aircraft carrier's average speed on the outbound trip is 15miles/hour

Answer:

Given: An Angle in the figure is right angle. Its measure = 90°

So,

∠2 = 90° ( vertically opposite angles are equal )

∠1 + ∠2 = 180° ( Linear Pair )

∠1 = 180 - 90

∠1 = 90°

So, ∠1 and ∠2 are

Right angles because measure of both angles are 90°.

Adjacent angles because both a common arm and a common vertex.

Supplementary angles because sum of both angles is 180°.

Step-by-step explanation:

Answer:

98/5 = 19 3/5

72/2 = 36

58/9 = 6 4/9

82/7 = 11 5/7

Answer:

add the amount of the bags. you will end up with 38.70 Oz. the subtract the number from the total and you ger 19.30 Oz. the box weighs 19.30 oz.

Answer:

I believe your answer would be 126

Step-by-step explanation:

The math is quite simple, all you must do is divide over and over again. Then add

64/2= 32

32/2=16

16/2=8

8/2=4

4/2=2

Then add these up

64+32+16+8+4+2= 126

Answer:

x=4.6

Step-by-step explanation:

take the numbers and add them all together then divide them by 3

Answer: 52

Step-by-step explanation:

Answer: $48.23

Step-by-step explanation:

The sales tax would be $2.73

Answer:

$ 48.23

Step-by-step explanation:

Lmk if its correct <3 Hope my answer helped, and have an amazing day :)

Answer:

Step-by-step explanation:

1.6x10^5=160,000;    160x1000=160,000

Answer:

The equation to solve for x is 8x - 14 = 5x + 34

The value of x is 16

Step-by-step explanation:

Let us use the angles between the parallel lines to find x

∵ Lines l and m are parallel

∴ ∠(8x - 14)° and ∠(5x + 34)° are alternate exterior angles

∵ The alternate exterior angles are congruent

∴ ∠(8x - 14)° ≅ ∠(5x + 34)°  

→ Equate them

∴ 8x - 14 = 5x + 34

∴ The equation to solve for x is 8x - 14 = 5x + 34

Let us solve it to find x

∵ 8x - 14 = 5x + 34

→ Subtract 5x from both sides

∵ 8x - 5x - 14 = 5x - 5x + 34

∴ 3x - 14 = 34

→ Add 14 to both sides

∴ 3x - 14 + 14 = 34 + 14

∴ 3x = 48

→ Divide both sides by 3 to find x

∴ [tex]\frac{3x}{3}=\frac{48}{3}[/tex]

∴ x = 16

∴ The value of x is 16

Answer:

y= -x/4 +7

Step-by-step explanation:

x+4y−28=0

Subtract x from both sides. Anything subtracted from zero gives its negation.

4y−28=−x

Add 28 to both sides.

4y=−x+28

The equation is in standard form.

4y=28−x

Divide both sides by 4.

4y/4 = 28−x/4

Dividing by 4 undoes the multiplication by 4.

y= 28-x/4

​

Divide −x+28 by 4.

y= -x/4 +7

HOPE THIS HELPS! PLEASE MARK AS BRAINLIEST.

Answer:

7 (i think i dont really know)

Step-by-step explanation:

you can kinda just estimate it (when its the middle) to half

if you dont know the middle, then you just have to first

minus the numbers

than find half of that number

Answer:

Where is the answer choices?

Step-by-step explanation:

Answer:

A, B, D

Step-by-step explanation:

Answer:

the correct answer is 76014

Answer:

speed is 0.01 miles per minute

Step-by-step explanation:

We know speed = distance/time

since we need speed in miles per minute we need to convert KM into miles

and hours in minutes

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

distance = 5 km

1 km = 0.621371 miles

5KM = 5*0.621371 miles = 3.10686 miles = 3.12 miles(rounded to nearest hundredth)

1 hour = 60 minutes

4.5 hours = 4.5*60 minutes = 270 minutes

speed = distance in KM/time in minutes = 3.12 miles/270 minutes

speed = 0.012 miles per minute

rounding the answer to  the nearest hundredth

speed is 0.01 miles per minute

Answer:

it is parallel

Step-by-step explanation:

Answer:

he donates 125

Step-by-step explanation:

Answer:

$500 per week.

Step-by-step explanation:

Let Cameron earns $x as a tutor.

As his sister earns one and a half times as much as a tutor, so, his sister earns $1.5x.

Since the weekly wage of Cameron's sister is $250 more than Cameron, so

[tex]1.5x=x+250[/tex]

[tex]\Rightarrow 1.5x-x=250[/tex]

[tex]\Rightarrow 0.5x=250[/tex]

[tex]\Rightarrow x=500.[/tex]

Hence, the weekly earning of Cameron is $500.

Answer:

[tex]a^{-7}[/tex]

Step-by-step explanation:

using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] , then

[tex]\frac{a^{-13} }{a^{-6} }[/tex]

= [tex]a^{(-13-(-6))}[/tex]

= [tex]a^{(-13+6)}[/tex]

= [tex]a^{-7}[/tex]

Answer:

[tex]a^-7[/tex]

Step-by-step explanation:

[tex]\frac{a^m}{a^n}=a^{(m-n)}, then[/tex]

[tex]\frac{a^{-13} }{a^{-6} }[/tex]

[tex]=a^{(-13-(-6))}[/tex]

[tex]=a^{(-13+6)}[/tex]

[tex]=a^{-7}[/tex]

Answer:

√3

Step-by-step explanation:

Triangle ABC is a special right triangle with angle measures of 30° 60° 90° and side length x 2x x√3

Answer:

C. Mrs. Alvarez's scores were less spread out than Mr. Crawford's scores.

Step-by-step explanation:

Mean Absolute Deviation is one of the Statistical measures which we can you to determine the variation that exist amongst a given set of data

Mean Absolute Deviation can be defined as how far or the distance between one set of data to another set of data.

The smaller the Mean Standard Deviation, the lower the degree of variation in the set of data. The data is less spread out

The larger the Mean Standard Deviation, the higher the degree of variation in the set of data. The data is Largely spread out

We are told in the question that:

Mrs. Alvarez's scores had a lower mean absolute deviation than Mr. Crawford's scores. Our conclusion would be that Mrs. Alvarez's scores were less spread out than Mr. Crawford's scores.

Option 2 is correct.

Answer:

Step-by-step explanation:

The total amount for the order is

$9.75+$29.99+ $15.00=$54.74

let the money her mother owes her be x

so summing all the amount plus the balance given to her must equal $54.74

so x+40+5.26=54.74

solving fo x we have

x+45.26=54.74

make  x subject of formula we habe

x=54.74-45.26

x=9.48

Nicoles mother owe Her $9.48for babysitting

god  bless u Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Answer:

The answer is

[tex] \huge y = 5[/tex]

Step-by-step explanation:

To find an equation of a line given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is (3,-5) and slope 0

We have

[tex]y + 5 = 0(x - 3) \\ y + 5 = 0 \\ y = 5[/tex]

We have the final answer as

[tex]y = 5[/tex]

Hope this helps you