Solve the system by substitution 3x + 2y = 2
y = X-4

Answer:

100⁰

because this is a quadrilateral inscribed in the circle

=> x + 80 = 180

<=> x = 180 - 80 = 100⁰

Answer:

b = 16.5

Step-by-step explanation:

Given

[tex]\frac{9}{11}[/tex] = [tex]\frac{13.5}{b}[/tex] ( cross- multiply )

9b = 148.5 ( divide both sides by 9 )

b = 16.5

Answer:

16.5

Step-by-step explanation:

we want to get b in the numerator and we want to get rid of the fractions so we multiply both sides by 11*b to get

9b=13.5*11

9b=148.5

divide both sides by 9 to get b by itself to get

b=16.5

Answer:

Option A

Step-by-step explanation:

From the last triangle given in the picture,

x° = 45° + 85° [By the definition of exterior angle of a triangle]

x = 130°

Another way to get the value of x,

By triangle sum theorem,

45° + 85° + y° = 180°

y° = 180° - 130°

y = 50°

And (x° + y°) = 180° [linear pair of angles]

x + 50 = 180

x = 130°

Therefore, x = 130° because 180 - (45 + 85) = 50 and 180 - 50 = 130

Option A is the answer.

Answer:

A-3x3 bc the parentheses are multiplying

Answer:

1  1/3

Step-by-step explanation

let carley = c and let monica = m

we need to subtract the taller or bigger number by the smaller number

c-m if we do this properelythen

 5   1/6

- 3   5/6

1   2/6    or 1   1/3

Answer:

The leaves

Step-by-step explanation:

The Bean Pods are the "fruit" of the plant. By the time there are pods, the leaves would have already been there.

Hope this helps :)

The best first step would be adding the 15, 2, and 3 and then subtracting -5 so you can solve was -a equals to

Answer:

A

Step-by-step explanation:

the parrallel lines are not intersecting look up what congruent means and it will help you out

Answer:

p < -9/2 or p < -4.5

Step-by-step explanation:

-3 > 2/3p

-3 * 3> 2p

-9/2 > p

-9/2 > p or -4.5 > p

Answer:

6.017

Step-by-step explanation:

Answer:

6.017

Step-by-step explanation:

Answer:

{0.99, 5.01, 5.25, 6.79, 6.99, 7.50, 7.51}   second option

Step-by-step explanation:

You can see from the histogram that there is

- one value = 0.99  that is from 0 to  2 dollars and 50 cents

- no values between 2 dollars and 51 cents and 5 dollars

- 5 values between  5 dollars and 1 cent to 7 dollars and 50 cents

-1 value between  7 dollars and 51 cents to 10 dollars

All the four bars the value of dollar fall between the range of 0 dollar to the 10 dollar. This condition satisfy only by the option C.

Hence, The option C is the correct option which is,

{0.75, 2.50, 7.50,7.50,7.50,7.50,10.00}

Given-

Histogram titled number of Items Sold with Price Range on the x axis.

Histogram titled number of Items Sold on the y axis.

The range of bar 1 is 0 to 2 dollars and 50 cents and has a height of 1. As 1 dollar has 100 cents hence 50 cent will be equal to the 0.50 dollar. Thus the range of bar 1 is 1 to 2.5 dollar.

The range of Bar 2 is 2 dollars and 51 cents to 5 dollars and has a height of 0. As 1 dollar has 100 cents hence 50 cent will be equal to the 0.50 dollar. Thus the range of bar 2 is 2.51 to 5 dollar.

The range of bar 3 is 5 dollars and 1 cent to 7 dollars and 50 cents and has a height of 5. As 1 dollar has 100 cents hence 50 cent will be equal to the 0.50 dollar. Thus the range of bar 3 is 0.01 to 7.5 dollar.

The range of bar 4 is 7 dollars and 51 cents to 10 dollars and has a height of 1. As 1 dollar has 100 cents hence 50 cent will be equal to the 0.50 dollar. Thus the range of bar 4 is 7.51 to 10 dollar.

In all the four bars the value of dollar fall between the range of 0 dollar to the 10 dollar. This condition satisfy only by the option C.

Hence, The option C is the correct option which is,

{0.75, 2.50, 7.50,7.50,7.50,7.50,10.00}

For more about the histogram follow the link below,

https://brainly.com/question/2962546

Answer: this questions kind of confusing, but my guess is:

10x5=50 Becuase that's the same thing as saying 50/10 =5

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

EDGE 2021

Answer:

A

Step-by-step explanation:

youre looking for the total spent, and then each variable from the word equation

Answer:It is B because you add 5+4 and you get 9 and than you have 9 you have 5 cences

so it is $9.05

Answer:

13. is 4

14. is (9 and -2 x m)

Step-by-step explanation:

w = 3

5x3 + [-2x3} + 4 = 13

\15/   -   \6/  = 9 + 4 + 13

Answer:

100°

Step-by-step explanation:

A triangle is a polygon shape with three sides. Triangles are of different types such as obtuse, scalene, equilateral, isosceles etc.

In triangle ABC:

70° + 50° + ∠C = 180° (sum of angles in a triangle)

120 + ∠C = 180

∠C = 180 - 120

∠C = 60°

Since ∠C is bisected into ∠ACD and ∠BCD, hence:

∠ACD = ∠BCD = ∠C / 2

∠ACD = ∠BCD = 60 / 2

∠ACD = ∠BCD = 30°

In triangle ACD:

∠A + ∠ACD + ∠ADC = 180° (sum of angles in a triangle)

50 + 30 + ∠ADC = 180

∠ADC + 80 = 180

∠ADC = 100°

Answer:

The speed of the truck is 1,200 miles.

Step-by-step explanation:

Car = 10 MILES PER HOUT FASTER THAN THE TRUCK.

Truck = X times 10

X = 120 MILES times 10

120 times 10= 1,200, BECAUSE IF YOU TAKE THE "1" FROM "10" IT'LL BE "1" FROM THE 10, TIMES 120 MILES WHICH = 120. NOW TAKE THE "0" FROM THE 10 AND ADD *0* AT THE END OF THE ANSWER YOU GOT WHICH WAS "120." THEN YOUR ANSWER WILL BE 1,200 IF YOU ADD THE "0" AT THE END.

*and also useable on a calculator depending on your grade level*

Answer:

x= -6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

Answer:

step by step below

Step-by-step explanation:

14. y = x²+4x+1

    y=x+1

x+1 = x²+4x+1

x²+3x=0        x(X+3)=0

x=0 or x=-3

18. y=x²-3x-20

y=-x-5

-x-5 = x²-3x-20         x²-2x-15 = 0      (x-5)(x+3) = 0

x=5 or x=-3

20. y=x²+5x+1

y=x²+2x+1

x²+2x+1 = x²+5x+1            3x = 0

x = 0

22. y=-x²-3x-2

y=x²+3x+2

x²+3x+2 = -x²-3x-2        2x²+6x+4 = 0    2(x²+3x+2) = 2 (x+1)(x+2) = 0

x = -1 or x = -2

Answer:

There were 200 children and 400 adults in the auditorium.

Step-by-step explanation:

Given that there were a total of 600 peoples in the event.

Let there were n children in the event.

So, the number of an adult in the event = 600-n

As the admission price for one child = 15 pesos

and the admission price for one adult = 25 pesos.

So, total admission price = 15n+25(600-n)

As total money raised = 13000 pesos

So, 15n+25(600-n)=13000

15n+15000-25n=13000

10n=15000-13000=2000

n=2000/10=200

Therefore, number of children = 200

and the number of adults = 600-200=400.

Hence, there were 200 children and 400 adults in the auditorium.

Answer:

No

Step-by-step explanation:

The is only one output for each value

Answer:

1.39

Step-by-step explanation:

Creating a table:

X :___0 __ 1 __ 2 ___ 3 ____ 4 ___ 5 ___ 6

P(x):0.02_0.03_0.07, 0.12, 0.30_ 0.28_0.18.

The standard deviation = sqrt(Var(x))

Var(x) = Σx²*p(x) - E(x)²

E(x) = ΣX*p(x)

E(x) = (0*0.02) + (1*0.03) + (2*0.07) + (3*0.12) + (4*0.30) + (5*0.28) + (6*0.18) = 4.21

Var(X) :

((0^2*0.02) + (1^2*0.03) + (2^2*0.07) + (3^2*0.12) + (4^2*0.30) + (5^2*0.28) + (6^2*0.18)) - 4.21^2

19.67 - 17.7241

= 1.9459

Standard deviation = sqrt(Var(X))

Standard deviation = sqrt(1.9459)

Standard deviation = 1.3949551

= 1.39

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Answer:

Principal in account A = $200

Principal in account B = $600

Account B earned more interest in the first month.

Step-by-step explanation:

Given two accounts:

Account A:

Time = 9 months = [tex]\frac{9}{12}[/tex] years

Interest rate = 3.8%

Interest earned = $5.70

Account B:

Time = 27 months = [tex]\frac{27}{12}[/tex] years

Interest rate = 2.4%

Interest earned = $32.40

To find:

Principal in each account.

Most interest earned in the first month?

Solution:

First of all, let us have a look at the formula for Simple Interest.

[tex]SI = \dfrac{P\times R\times T}{100}[/tex]

Putting the values for Account A and finding the value of Principal:

[tex]5.70 = \dfrac{P_A \times 3.8\times 9}{100\times 12}\\\Rightarrow P_A = \dfrac{570\times 12}{3.8\times 9}\\\Rightarrow P_A=\$200[/tex]

Now, Putting the values for Account B and finding the value of Principal:

[tex]32.40 = \dfrac{P_B \times 2.4\times 27}{100\times 12}\\\Rightarrow P_B = \dfrac{3240\times 12}{2.4\times 27}\\\Rightarrow P_B=\$600[/tex]

Interest earned in one month i.e. [tex]\frac{1}{12}[/tex] years:

Account A:

[tex]SI_A = \dfrac{200\times 3.8\times 1}{100\times 12}\\\Rightarrow SI_A = \$0.63[/tex]

[tex]SI_B = \dfrac{600\times 2.4\times 1}{100\times 12}\\\Rightarrow SI_B = \$1.2[/tex]

Account B earned more interest in the first month.

Therefore, the answers are:

Principal in account A = $200

Principal in account B = $600

Account B earned more interest in the first month.

Answer:

849

Step-by-step explanation:

1556

Answer:

1.696  × [tex]10^{2}[/tex]

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  10

.

If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

this is kind of a wierd question, but here is the answer. x=350.50/c

Step-by-step explanation:

Final Answer: [tex]f = \frac{ax}{2} + \frac{3b}{2}[/tex]

Steps/Reasons/Explanation:

We will be trying to rewrite the equation. To do this we will move [tex]2f[/tex] to the left. Then, we will move [tex]ax + 3b[/tex] to the right.

Question: Solve for [tex]f[/tex]: [tex]ax + 3b = 2f[/tex].

Step 1: Rewrite the equation.

[tex]2f = ax + 3b[/tex]

Step 2: Divide each term by [tex]2[/tex] and simplify.

[tex]\frac{2f}{2} = \frac{ax}{2} + \frac{3b}{2}[/tex]

Step 3: Cancel out the common factor of [tex]2[/tex].

[tex]\frac{Cancel 2 f}{Cancel 2} = \frac{ax}{2} + \frac{3b}{2}[/tex]

Step 4: Divide [tex]f[/tex] by [tex]1[/tex].

[tex]f = \frac{ax}{2} + \frac{3b}{2}[/tex]

~I hope I helped you :)~