find the value of 1 + 3x when x = 1​

Answer:

14

Step-by-step explanation:

The two triangles are similar

KN/KL = MN/JL

12/32 = (x+1)/(3x-2) multiply the fractions

36x-24 = 32x+32 export like terms to the same side

36x-32 = 32 + 24

4x = 56 divide both sides by 4

x = 14

Answer: Hope this helps

Step-by-step explanation:

Let ss be the number of guests that a small tier can serve and mm be the number of guests a medium tier can serve.

The first cake has 3 small tiers, which will serve 3s3s people, and one medium tier, which will serve mm people. The first cake can then serve 3s+m3s+m people. Since the first cake will serve 100 guests, then 3s+m=1003s+m=100.

The second cake has 3 small tiers, which will serve 3s3s people, and 2 medium tiers, which will serve 2m2m people. The second cake can then serve 3s+2m3s+2m people. Since the second cake will serve 140 guests, then 3s+2m=1403s+2m=140.

The system of equations is then { 3s+m=100 3s+2m=140  

{

3s+m=100

3s+2m=140

​

​

Part B:

The mm-terms have the same coefficients so subtract the first equation from the second equation to eliminate ss and solve for mm:

3s+2m amp;= amp;140 −(3s+m amp;= amp;100)       m amp;= amp;40

3s+2m

−(3s+m

m

​

amp;=

amp;=

amp;=

​

amp;140

amp;100)

amp;40

​

​

Substitute m=40m=40 into either equation and solve for ss:

3s+m amp;=100 3s+40 amp;=100 3s amp;=60 s amp;=20

3s+m

3s+40

3s

s

​

amp;=100

amp;=100

amp;=60

amp;=20

​

The solution of the system is then (s,m)=(20,40)

(s,m)=(20,40)

​

.

Part C:

Since the solution of the system was s=20s=20 and m=40m=40, then a small tier feeds 20 people and a medium teir serves 40 people.

Answer:

the profit percentage based on the cost & selling price is 16.67% and 14.29% respectively

Step-by-step explanation:

The computation of the profit percentage based on the cost & selling price is shown below:

The Profit percentage on the cost is

= (Sale price - cost price) ÷ (cost price) × 100

= ($175 - $150) ÷ ($150) × 100

= 16.67%

ANd, the profit percentage based on the selling price is

= (Sale price - cost price) ÷ (selling price) × 100

= ($175 - $150) ÷ ($175) × 100

= 14.29%

Hence, the profit percentage based on the cost & selling price is 16.67% and 14.29% respectively

Answer:

Area = 162.70 square centimetre.

Step-by-step explanation:

From the given question,

AD = 11.1 cm, AB = 15.5 cm and <BAD = 71°

The area of the parallelogram can be determined by;

Area = AD x AB x Sin <BAD

        = 11.1 x 15.5 x Sin 71°

        = 172.05 x 0.94552

Area = 162.67672

        = 162.70 [tex]cm^{2}[/tex]

Therefore, the area of the given parallelogram is 162.70 square centimetre.

Answer:

C.

Step-by-step explanation:

All you have to do is multiply the cookie cost by the cookies and that gives you your answer.

0.30 * 36 = 10.80

The cost of 36 cookies is $10.80

1 cookie= $0.30

36 cookies= x

Cross multiply

1x= 0.30 × 36

1x= 10.8

x= 10.8

Hence the price of 36 cookies is $10.80

Please see the link below for more information

https://brainly.com/question/23032240?referrer=searchResults

Answer:

2 /5

Step-by-step explanation:

Answer:

May you please attach a picture of Genivieve’s data or insert it as text?

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

i got 100% on edmentum

Step-by-step explanation:

lkh, Jkm. Correct me if im wrong :^

9514 1404 393

Answer:

  x = 60

Step-by-step explanation:

You are correct that the angles are complementary.

That means their sum is 90°.

  (x -30)° + x° = 90°

  2x -30 = 90 . . . . . . . divide by °, collect terms

  2x = 120 . . . . . . . . . . add 30

  x = 60 . . . . . . . . . . . . divide by 2

Answer:

Step-by-step explanation:

Answer:In my opinion B.0.005 is the correct answer

Step-by-step explanation:

hope it will help you

Answer:

P = I / rt is the formula we're going to use.

P is the principle (which is what we're solving for)

I = the interest accrued over the specified amount of time (2 years)

r = the interest rate (6%)

t = the time specified (2 years)

Change the percent to a decimal. Place the decimal two places to the left to make 0.06.

P = 264 / 0.06(2)

P = 264 ÷ 0.12 = 2,200

Principal borrowed would be $2,200

Answer:

Step-by-step explanation:

Equation

Let "n" represent the number. Then more indicates addition, and times indicates multiplication. With that said, the answer is 4 + 3n.

Dale's Money

Given: $44 in total

44 ÷ 2 (To know how much they have  equally)

22

22 ÷ 3 (Then you divide by 3 because Brandon has 3 times his, the opposite of multiplication is division.)

7.3

Therefore, Dale has $7.3¢

Brandon's money

Given: 4 + 3n. Dale has 7.3

Solve: 7.3 × 3 ( Since Brandon has four more than 3 times the amount of money that Dale has, multiply that and 3)

21.9 (Then add four because Brandon has four more...)

25.9

Therefore, Brandon has $25.9¢

The amount that Brandon and Dale have is $34 and $10, respectively.

An equation is formed when two expressions are equated with each other with the help of an equal sign.

Let the amount of money that Brandon has be x, and Dale has be y.

As it is given that the sum of the total amount they both had is $44. therefore, the equation that can represent the total amount both of them had is

[tex]x + y = \$44[/tex]

Now, according to the first statement, Brandon has four more than 3 times the amount of money that Dale has. therefore, the equation can be represented as,

[tex]x = 4 + 3y[/tex]

Further, as got the two-equation solving the two equations. We have the value of x, therefore, substitute the value of x in the first equation,

[tex]x+y = 44\\\\(4 + 3y )+y= 44\\\\4+4y=44\\\\4y = 40\\\\y = 10[/tex]

Now, substitute the value of y in the second equation we get,

[tex]x = 4 + 3y\\\\x = 4 + 3(10)\\\\x = 34[/tex]

Hence, The amount that Brandon and Dale have is $34 and $10, respectively.

Learn more about Equation:

https://brainly.com/question/24944275

Answer:

Each additional sugary snack eaten is associated with a loss of five points on the test.

Step-by-step explanation:

Answer:

FV= $7,040.46

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $5,500

Number of periods (n)= 10 years

Interest rate (i)= 2.5%

To calculate the future value (FV), we need to use the following formula:

FV= PV*(1 + i)^n

FV= 5,500*(1.025^10)

FV= $7,040.46

Answer:

D. (4 1/2, 2 1/2)

Step-by-step explanation:

Look for each point on the coordinate graph.

Answer:

The two numbers are 12 and 26

Step-by-step explanation:

let the first number = a

let the second number = b

The ratio of the numbers is given as;

[tex]\frac{a}{b} = \frac{6}{13} \\\\a = \frac{6b}{13}[/tex] -------- (1)

The lcm of the two numbers is given as;

a x b = 312

ab = 312 --------- (2)

From equation (1), [tex]a = \frac{6b}{13}[/tex]

[tex]b(\frac{6b}{13} ) = 312\\\\\frac{6b^2}{13} = 312\\\\6b^2 = 4056\\\\b^2 = \frac{4056}{6} \\\\b^2 = 676\\\\b = \sqrt{676} \\\\b = 26\\\\From \ equation \ (1);\\\\a = \frac{6b}{13} \\\\a = \frac{6 \times 26}{13} \\\\a = 12[/tex]

Therefore, the two numbers are 12 and 26

Answer:

12

Step-by-step explanation:

Simplify 3 log(x+7) by moving 3 inside the parentheses with 7.f(x)=log((x+7)3)−5

Answer:

Total area of figure = [3x² + 7x + 6] feet²

Step-by-step explanation:

By dividing both rectangle by vertical line;

Given:

Length of big rectangle = (x + 3) feet

Width of big rectangle = (x + 2) feet

Length of small rectangle = 2x feet

Width of small rectangle = (x + 1) feet

Find:

Total area of figure

Computation:

Area of rectangle = Length x width

Total area of figure = Area of big rectangle + Area of small rectangle

Total area of figure = [(x + 3)(x + 2)] + [(2x)(x + 1)]

Total area of figure = [x²+ 2x + 3x + 6] + [2x² + 2x]

Total area of figure = [3x² + 7x + 6] feet²

Step-by-step explanation:

HOLA, SOY DORA. DO YOU WANNA HELP ME AND BOOTS.

Me:heck no

Her:LETS GO!

MAMA PAPA

HELPPP MEEEE IM GOING CRAZZZZYYY

Answer:

It has 2 equal side lengths

Answer:

d=6.324

Step-by-step explanation:

[tex]d=\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }[/tex]

[tex]d=\sqrt{(-5-(-3)^{2} +(2-(-4)^{2} }[/tex]

[tex]d=\sqrt{(-5+3)^{2}+(2+4)^{2} }[/tex]

[tex]d=\sqrt{(-2)^{2}+6^{2} }[/tex]

[tex]d=\sqrt{4+36}[/tex]

[tex]d=\sqrt{40}[/tex]

[tex]d=6.324[/tex]

Answer:

120 students are predicted to like chocolate chip ice cream best.

Step-by-step explanation:

40% = 0.4

Multiply 300 by 0.4 to get 40% of 300.

300 × 0.4 = 120

Answer:

Step-by-step explanation:

The point is that any graphing calculator will work. We use Desmos on Brainly.

The graph below is your complete answer.

You can actually find the zeros by factoring

p(x) = x^2(2x - 1) - 4(2x - 1)

p(x) = (2x - 1) (x^2 - 4)

p(x) = (2x - 1) (x - 2)(x + 2)

I have to hurry. If this is not enough, let me know.

Answer:

All terms separated by 6 so #20 = 4 + 6 * 19 = 118

(if the first term were 6 instead of 4 the 20th would be 120)

Also, #10 = 58 and #11 = 64   (you can use the same reasoning)

The 1st and 20th term add to 4 + 118 = 122

The 2nd and 19th add to 10 + 112 = 122

Likewise 10th and 11th add to 58 + 64 = 122

So 10 * 122 = 1220

Answer:

I think it’s a reflection followed by a transformation

Step-by-step explanation:

Part A:

There are 25 blocks for the length, and the length of each is 5.5 inches. 5.5x25=137.5

There are 9 blocks for the height, and each is 2.75 inches. 2.75x9=24.75

Since we're trying to find how much longer the length is to the width, we find the difference. 137.5-24.75=112.75

So part A answer is 112.75 (or 112¾)

Part B:

We know the length is 137.5 and the height is 24.75. To find how many times longer the length is, we need to divide to see how many 24.75 can go into 137.5.

137.5÷24.75=5.55

So the answer to part B is 5.55. Given the context, the answer would probably be 5, because that's how many entire height can fit.

Sorry if it's wrong lol

Answer:

7(6+9)

Step-by-step explanation: