4x+7y=83 and 5+6y=90 solved by substion

Answer:

2100

Step-by-step explanation:

71 ->70

28 ->30

70 * 30 = 2100

Answer:

300 in²

Step-by-step explanation:

The TV screen is rectangular in shape.

Thus:

Length of the rectangular screen = 15 in.

Diagonal of the rectangular screen = 25 in.

To find the area of the rectangular screen, we need the length and the width of the screen.

Use pythagorean theorem to find the width as shown below:

[tex] a^2 + b^2 = c^2 [/tex], where:

a = width = ?

b = 15 in.

c = 25 in. (The hypotenuse/longest side)

Plug in the values into the equation

[tex] a^2 + 225 = 625 [/tex]

Subtract 225 from each side

[tex] a^2 = 400 [/tex]

Take the square root of both sides

[tex] a = 20 [/tex]

width of the screen = 20 in.

Thus,

Area of the screen = length × width

= 15 × 20

Area = 300 in²

Answer:  The Length of the rectangle is 18 feet.

The width is 8 feet

Step-by-step explanation:  Perimeter is 2w + 2L

Length here is 2w + 2   Substitute this value for L in the equation.

P = 2w + 2L

52 = 2w + 2(2w + 2)  distribute and add

52 = 2w + 4w + 4

52 = 6w + 4    Subtract 4 from both sides, Then divide both sides by 6 to solve  for w

48 = 6w

8 = w  The width is 8 ft

Substitute into the original expression for Length

Length here is 2w + 2 :  2(8) + 2   16 + 2 = 18

The Length is 18 feet.

Check:   in the original equation P = 2w + 2L

52 = 2(8) + 2(18)

52 = 16 + 36  TRUE!

Answer:

The length would be 18ft the width would be 8ft

Step-by-step explanation:

Answer:

13 / 19

Step-by-step explanation:

Given that :

U = 130

Let :

s = swimming pool

t = track

g = gym

n(g) = 61 ; n(s) = 68 ; n(t) = 60

n(g n s) = 25 ; n(t n s) = 30 ; n(g n t) = 19

n(g n s n t) = 6

n(g n t) only = n(g n t) - n(g n s n t) = 19 - 6 = 13

Hence, probability that a randomly scted person uses the gym and track and does not use the swimming pool = n(g n t) only ÷ n(g n t)

= 13 / 19

= 13 / 19

Answer:

25/ 100 × 16.4 (25 and 100 is cancelled by 5)

5/20 × 16.4 ( 5 and 20 are cancelled by 5)

4 ÷ 1 6.4

The answer will be 4.1...

I hope this helped you..

Answer:

(x-4)(x-3)

Step-by-step explanation:

x^2+12=7x  move the 7x to the other side

x^2-7x+12

(x-4)(x-3)

Answer:

B (x+7=19)

Step-by-step explanation:

We don't know Steve's age, so make his age=x. If his parrot is 19 years old and he's 7 years older than Steve, you would be adding 7 years onto Steve's age. So, to do that it would be x+7=19 or B!

Answer:8 an 40 an 2

Step-by-step explanation:

[tex]1/2=0.5\\5/0.5=10[/tex]

Answer:

x=6

Step-by-step explanation:

work is shown in picture

Answer:

Concept: Fractions

Answer:

The portions added together make 47/48 of the dessert.

Step-by-step explanation:

To find the total amount that Andrew and Cassandra ate of the dessert, we have to add the two fractions together:

[tex]\frac{2}{3} + \frac{5}{16}[/tex]

[tex]\frac{32}{48} + \frac{15}{48}[/tex]

[tex]\frac{47}{48}[/tex]

Hence, Andrew and Cassandra almost ate up all of the dessert, clocking in at 47/48 of the dessert.

Hope this helped!

Answer:

Number 4, the last one

Step-by-step explanation:

The answer is the first choice.

For every odd-degree polynomial function,

When x approaches positive infinity, y approaches positive infinity.

When x approaches negative infinity, y approaches negative infinity.

As shown in the graph, substituting x into any numbers that are greater than 3 and you'll see how the graph heads toward y-value infinitely.

Answer:

there is alot of them

Step-by-step explanation:

Answer: m

one set of ordered pair

b

(In that order)

Step-by-step explanation: Took the test just now, your welcome.

Answer:

2000 kg is the answer.

Step-by-step explanation:

We need to increase 60 kg by [tex]33\dfrac{1}{3}[/tex].

The given value is 60 kg. We can find it by finding [tex]33\dfrac{1}{3}[/tex] of 60 kg.

[tex]=60\times \dfrac{100}{3}\\\\=20\times 100\\\\=2000[/tex]

Hence, if we increase 60 kg by [tex]33\dfrac{1}{3}[/tex], we will get 2000 kg.

Answer:

third option

Step-by-step explanation:

The triangles have 2 pairs of congruent sides and 2 congruent included angles between the sides.

Thus

Δ ABC ~ Δ DEF by the SAS postulate

Answer:

yes

Step-by-step explanation:

that symbol means <= which means x is less than OR equal to  5/2

Step-by-step explanation:

x(x-2) +5(x-2)

x² -2x + 5x -10

x² + 3x - 10

Answer:

the answer is x^2 + 3x - 10 I guess!

Step-by-step explanation:

This is an algebraic equation so-

Answer:

2 years

Step-by-step explanation:

Let us take the time period be t .

And , we know formula of SI as ,

[tex]\boxed{SI = \frac{PRT}{100}}[/tex]

[tex]\implies Rs 810 = \dfrac{Rs 9000 \times 4.5 \times t }{100}\\\\\implies t = \dfrac{810 \times 100 }{9000\times 4.5 } \\\\\underline{\boxed{\red {\implies Time = 2 \ years }}}[/tex]

Answer:

one is the value of x this is correct answer

Given:

Total people = 132

Total students = 110

The ratio of shark bookmarks to seal bookmarks to the students is 3:2.

To find:

The number of students who receive shark bookmarks.

Solution:

Let the total number of students who receive shark bookmarks be 3x and number of students who receive seal bookmarks be 2x.

Total number of students is 110. So,

[tex]3x+2x=110[/tex]

[tex]5x=110[/tex]

Divide both sides by 5.

[tex]x=22[/tex]

Now,

Number of students who receive shark bookmarks [tex]=3x[/tex]

                                                                                   [tex]=3(22)[/tex]

                                                                                   [tex]=66[/tex]

Therefore, 66 students receive shark bookmarks.

Answer: $20

Step-by-step explanation:

From the question, we are informed that John Smith has a past due balance of $80 on his account and out of the $80 paid, 25% will be given as commission.

Therefore, the total commission received from John's payment will be:

= 25% × $80

= 25/100 × $80

= 0.25 × $80

= $20

The commission is $20

Answer: I’m assuming that these are Angle measures. S=3

Step-by-step explanation:

180/3=60

20*3=60

S=3

Answer:

i think 1h but wait for someone else to answer to

Answer:

y=-2/3x+2/3 i think... :)

Step-by-step explanation:

y=mx+b

-4=-2/3(-7)+b

-4=14/3+b

b=2/3

y=-2/3x+2/3

Answer:

C

Step-by-step explanation:

Answer:

Given : A=(1,2)≡(x  

1 ,y  

1

​

) and B=(3,−2)≡(x  

2

​

,y  

2

​

)

Let M=(x,y) be the midpoint of AB

x=(  

2

x  

1

​

+x  

2

​

​

) and  y=(  

2

y  

1

​

+y  

2

​

​

)

Then, x=  

2

1+3

​

and y=  

2

2−2

​

⟹x=2 and y=0

∴M=(2,0)

∴ Coordinates of the midpoint of AB is (2,0)

Step-by-step explanation:

Answer:

D, or the last graph.

Step-by-step explanation:

I got it right when I was doing the assignment :)

From the information given regarding the graph, it should be noted that correct option about the graph of the system is D. On a coordinate plane, 2 dashed lines are shown.

It should be noted that a graph is a mathematical diagram which shows the relationship between two or more sets of numbers.

In this case, on a coordinate plane, 2 dashed lines are shown. The first straight line has a positive slope and goes through (0, 1) and (2, 2). Everything below the line is shaded. The second straight line has a negative slope and goes through (negative 3, 0) and (0, negative 1). Everything above the line is shaded.

Learn more about graphs on:

https://brainly.com/question/24372553

Final Answer: [tex]A[/tex] = [tex]76.76[/tex] [tex]in^2[/tex]

Steps/Reasons/Explanation:

We will be trying to find the area of the rectangle. The formula tells us to multiply width times length. This means that we will multiply our length of 15.2 inches by a width of 5.05 inches to find the area of a rectangle.

The final answer would include [tex]in^2[/tex] because we are multiplying both inches of the length and width to find the area.

Question: What is the area of a rectangle with the length of 15.2 inches and a width of 5.05 in?

Rectangle Area Formula: [tex]Area[/tex] = [tex]width[/tex] × [tex]length[/tex]

[tex]A[/tex] = [tex]15.2[/tex] inches × [tex]5.05[/tex] inches

[tex]A[/tex] = [tex]76.76[/tex] [tex]in^2[/tex]

~I hope I helped you :)~