401,378 in word form

Answer:

8

Step-by-step explanation:

sammy has 8 and ellen has 24 then add sammy's 8

24+8=32

Final answer:

By setting up a system of equations, we find that Sammy has 8 CD's and Ellen has 24 CD's.

Explanation:

The student's question involves solving a system of equations to determine how many CD's each person has.

Let's define Ellen's number of CD's as E, and Sammy's number of CD's as S.

According to the question, Ellen has 3 times as many CD's as Sammy, so we can write this as

E = 3S.

We also know that together they have 32 CD's, which can be written as

E + S = 32.

By substituting the first equation into the second, we get

3S + S = 32

4S = 32.

Dividing both sides by 4 gives us

S = 8.

Therefore, Sammy has 8 CD's.

To find out how many CD's Ellen has, we substitute S back into the first equation:

E = 3 * 8

E = 24.

So Ellen has 24 CD's.

this is written as

[tex]2n + 7 \geqslant 27[/tex]

change the greater than or equal to sign to equal to in order to solve it

thus

[tex]2n + 7 = 27[/tex]

[tex]2n = 27 - 7[/tex]

[tex]2n = 20[/tex]

dividing through by 2

[tex] \frac{2n}{2} = \frac{20}{2} [/tex]

[tex]n = 10[/tex]

{[tex]{n:n \geqslant 10}[/tex]}

Answer:

○ C. y - 10 = 2(x - 3)

Step-by-step explanation:

According to the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful and recall that your rate of change [slope] is POSITIVE, according to what you see on the graph.

I am joyous to assist you anytime.

let's recall that an inverse function has the same pair of coordinates as the original function, but backwards, or namely the inverse's range is the original's domain.

[tex]\bf \stackrel{f(x)}{\begin{array}{|cc|ll} \cline{1-2} 4&2\\ 6&3\\ 8&4\\ \cline{1-2} \end{array}}\qquad \qquad \stackrel{f^{-1}(x)}{\begin{array}{|cc|ll} \cline{1-2} 2&4\\ 3&6\\ 4&8\\ \cline{1-2} \end{array}}[/tex]

José needs approximately 2 more hours to complete his job.

We should calculate the total time required for 100% completion and then subtract the time he has already worked.

He needs approximately 2 more hours to complete the job.

Complete Question:

Jose sets up computers. He has been working on the job today for 6 hours. He told his boss the job was about 75% complete. Approximately how many more hours does he need to complete the job.

Answer: [tex]\frac{21}{16}\ cups\ of\ sugar\approx1.3\ cups\ of\ sugar[/tex]

Step-by-step explanation:

Let be "x" the cups of sugar needed for a full batch of brownies.

You need to analize the information provided in the exercise.

Since Henry uses [tex]\frac{3}{8}[/tex] cups of sugar for [tex]\frac{2}{7}[/tex] batch of brownies, you can write the following proportion:

[tex]\frac{\frac{3}{8}}{\frac{2}{7}}=\frac{x}{1}[/tex]

Finally, you must solve for "x".

Therefore, you get the following result:

[tex]x=\frac{21}{16}\ cups\approx1.3\ cups[/tex]

Answer:

Step-by-step explanation:

x² + 9x+8 = (x+1)(x+8)

Answer for Part A:

The next two numbers would be 60 and then 600.

Answer for Part B:

The number is multiplied by 10 to get the next number.

The solution to this problem requires us to set up an algebraic equation representing the given condition. After solving that equation, we discover that currently Colin is 8 years old and Bill is 29 years old.

This is a simple algebra problem dealing with ages and years. Let's define Colin's current age as 'x'. Consequently, Bill's age will be 'x + 21'. In 13 years, Colin will be 'x + 13' years old and Bill will be 'x + 21 + 13' years old.

According to the statement given, in 13 years: 'Bill's age will be twice Colin's age', this can be translated into the equation: 2*(x + 13) = x + 21 + 13. Solving this equation, we first multiply out the left side of the equation: 2x + 26 = x + 34. We can then subtract 'x' from both sides of the equation to get: x = 8.

This means that today, Colin is 8 years old. To find Bill's age, we add 21 to Colin's age, meaning Bill is 29 years old.

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Answer:

none of the above i think

Step-by-step explanation:

Sandra made it to the next level in the matching game.

Sandra needs to score at least 10 points to advance to the next level. She scores 18 points for correct matches and -6 points for incorrect matches. To determine if Sandra made it to the next level, we can add up her scores.

18 - 6 = 12 points

Sandra scored 12 points, which is greater than the required 10 points, so she made it to the next level.

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Answer:

-18 - 24y.

Step-by-step explanation:

6(-3-4y)

We use the distributive law to give:

6 * -3 + 6* -4y

= -18 - 24y.

Answer:

-12 + 34= 22 is the solution

Answer:

76 days

Step-by-step explanation:

3,118 divided by 41 miles

Answer:

r = 7

Step-by-step explanation:

Use the distributive property by multipling the -8 to the 2r and the -8, do the same thing on the other side with the -3.

Afterwards, combine like terms by adding 64 and 6.

Next, add 3r to the left side, I usually choose the number with the variable (the letter) that looks like it will be easier to subtract. This leaves only 21 on the right side.

Next subtract 70 from both sides

Divide -13 by both sides

You should get the answer of r=7

Hey!

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Solution:

Divide to get the decimal.

79 / 100 = 0.79

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Answer:

0.79

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Hope This Helped! Good Luck!

Answer: 0.79

Step-by-step explanation:

divide to get the decimal.

remeber, if n is two digits, n/100 = 0.n

Answer:

10 amps

Step-by-step explanation:

Ohm's law states

I = [tex]\frac{V}{R}[/tex]

I is the current, V the voltage and R the resistance, thus

I = [tex]\frac{30}{3}[/tex] = 10

Answer:

3,600

Step-by-step explanation:

First you have to know that 12% is the same as .12 Since you have 12%interest you would multiply 30,000 × .12 When you do you get 3,600. This is your interest. You could also do it another way. You could take 30,000 and divide it by the 6 months. You get 5,000. Now you would take this number and multiply it by .12(the 12%) and get 600. This is interest per month. Since you have 6 months you multiply 600×6. You end up with 3,600.

Answer:

x = 2 1/2

Step-by-step explanation:

Answer:6x

Step-by-step explanation: divide x on both sides you’ll get 10x subtract 4 both sides you’ll get 6x

Answer:

(n+3)/7

Step-by-step explanation:

Let

n -----> the unknown number

we know that

The algebraic expression of the phrase " the sum of a number and three" is equal to

(n+3) -----> number n plus number 3

so

The algebraic expression of the phrase " the sum of a number and three divided by seven" is equal to

(n+3)/7 ----> divide (n+3) by the number 7

therefore

The expression is

(n+3)/7

3 > √10 > 4

the answer would be 3 & 4

Answer: 3 & 4

Step-by-step explanation:

Answer:

91.39%.

Step-by-step explanation:

That is 276 * 100 / 302

= 91.39%.

Answer:

B

Step-by-step explanation:

simply by dividing time and miles by number 2 until 6 miles comes to 1 mile

11: 4,874 > 4,784 > 4,687

12: 8.09 > 8.057 > 8.023

13: 15.820 > 15.280 > 15.000

14: 43,628 > 40,628 > 34,628

15: 395.050 > 395.009 > 395.005

Answer: SECOND OPTION

Step-by-step explanation:

Given the following equation:

[tex]x^2-36=5x[/tex]

You can follow these steps in order to find the values of "x" that makes the equation true:

1. Subtract [tex]5x[/tex] from both sides of the equation:

[tex]x^2-36-5x=5x-5x\\\\x^2-5x-36=0[/tex]

2. Factor the equation. Find two numbers whose sum be -5 and whose product be -36. These are 4 and -9:

[tex](x+4)(x-9)=0[/tex]

Then you get:

[tex]x_1=-4\\\\x_2=9[/tex]

Checking:

[tex](-4)^2-36=5(-4)\\\\-20=-20[/tex]

TRUE

[tex](9)^2-36=5(9)\\\\45=45[/tex]

TRUE

Answer:

Its B. -4 and 9

Step-by-step explanation:

Just took it and got 100%

Answer:

1

Step-by-step explanation:

4 is less than 5, so you round to 1 and not 2

Answer:

Table C

If the bacteria population triples every hour, it must multiply by three each time.

Table C fits this pattern

y | 1 | 3 | 9 | 27 | 81 | 243 | 729

1×3=3, 3×3=9, 9×3=27 etc.

Answer:

Part 1) x=8

Part 2)  m∠RSU=133°

Part 3) m∠UST=47°

Part 4) m∠WSV=43°

Part 5) m∠VSU=137°

Step-by-step explanation:

see the attached figure to better understand the problem

Part 1) Find the value of x

we know that

m∠RSU and m∠UST are supplementary angles (by linear pair)

so

m∠RSU+m∠UST=180°

we have

m∠RSU=(17x-3)°

m∠UST=(6x-1)°

substitute the given values and solve for x

[tex](17x-3)\°+(6x-1)\°=180\°[/tex]

[tex](23x-4)=180[/tex]

[tex]23x=180+4[/tex]

[tex]23x=184[/tex]

[tex]x=8[/tex]

Part 2) Find the measure of m∠RSU

we have

m∠RSU=(17x-3)°

substitute the value of x

m∠RSU=17(8)-3=133°

Part 3) Find the measure of m∠UST

we have

m∠UST=(6x-1)°

substitute the value of x

m∠UST=6(8)-1=47°

Part 4) Find the measure of m∠WSV

we know that

m∠UST=m∠RSW -----> by vertical angles

so

m∠RSW=47°

m∠RSW+m∠WSV=90° ----> given problem (SV perpendicular RT)

substitute the value of m∠RSW and solve for m∠WSV

47°+m∠WSV=90°

m∠WSV=90°-47°=43°

Part 5) Find the measure of m∠VSU

we know that

m∠VSU=m∠VST+m∠UST

we have

m∠VST=90° ----> given problem (SV perpendicular RT)

m∠UST=47°

substitute

m∠VSU=90°+47°=137°

Answer:

5+(8×7)

Step-by-step explanation:

increased means plus, product means multiple so 5 increased by the product of 8 and 7 so it would be 5 plus 7 time 8

Answer:

5 + 7x = 8

Step-by-step explanation:

" a number" refers to a variable. In this case 5 increased is 5 + and the product of 7 and a number is 7x or 7 times x. Then tale that whole equation and set it equal to 8.

Kara will pay $584 in interest for a loan of $3650 at an annual interest rate of 16% after one year, calculated using the simple interest formula I = PRT.

To calculate the amount of interest Kara pays on a loan of $3650 at an annual interest rate of 16%, we use the formula for simple interest, which is:

I = PRT

Where:

Using the values given:

We calculate the interest Kara will pay:

I = 3650 * 0.16 * 1

I = $584

Therefore, Kara will pay $584 in interest after one year.