how to solve using Substitution or Elimination?
y=3x-1

y=2x+2

Answer:

3

Step-by-step explanation:

3

ΔBCE is half the base length and two third the height of ΔACF, therefore,

the area of ΔBCE is less than half the area of ΔACF.

The area of triangle ΔBCE is 60 cm².

Reasons:

In ΔACF, we have;

B = The midpoint of AC

Point E and point D are points on side CF

Distance C to D = Distance D to E = Distance E to F

Area of ΔACT = 180 cm²

Required:

Area of ΔBCE

Solution:

[tex]Area \ of \, \Delta ACF = \mathbf{\dfrac{1}{2} \times AC \times CF} = 180 \ cm^2[/tex]

[tex]In \ \Delta BCE, \, BC = \dfrac{1}{2} \times AC \ and \ CE = \dfrac{2}{3} \times CF[/tex]

Therefore;

[tex]Area \ of \ \Delta BCE = \dfrac{1}{2} \times BC \times CE = \dfrac{1}{2} \times \left(\dfrac{1}{2} \times AC \ \right) \times \dfrac{2}{3} \times CF[/tex]

[tex]\dfrac{1}{2} \times \left(\dfrac{1}{2} \times AC \ \right) \times \dfrac{2}{3} \times CF = \dfrac{1}{2} \times \dfrac{2}{3} \times \left(\dfrac{1}{2} \times AC \ \right)\times CF = \mathbf{\dfrac{1}{3} \times Area \ \Delta ACF}[/tex]

Therefore;

[tex]Area \ of \ \Delta BCE = \dfrac{1}{3} \times Area \ \Delta ACF = \dfrac{1}{3} \times 180 = 60[/tex]

The area of triangle ΔBCE = 60 cm².

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Answer:

D is the answer

Step-by-step explanation:

A filled circle means "or equal to" in which this case the symbol is less than or equal to, making the dot filled. Since 2 is greater than x, the line would start on the two and continue farther down the line to show that anything 2 or greater is more than x.

Answer:

130°

Step-by-step explanation:

80+50= 130

180-130=50

180-50=130°

Answer:

your answer would be 0

Step-by-step explanation:

3-(-2)-5

3+2-5

5-5

0

Answer:

Step-by-step explanation:

307 divided by 7 is the number of students in each bus with the remainder 6. As the 6 students cannot be fit into the bus and had to travel by car.

Thus we can conclude that:

307= 7x + 6 (6 extra students)

Take away 6 on both sides

7x = 301

i hope this helps i tried my best

x= 43

There are 43 students on each bus.

Answer:

62 people on each bus

Step-by-step explanation:

316-6=310.

310÷5=62 so there will be 62 people riding on each bus.

Answer:

21/40

Step-by-step explanation:

Answer:

0.525 or 21/40. Find the LCM between the denominators which is 40.

Answer:

5

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

We will use the KFC method to figure out the answer:

3/5 ÷ 2/1

We keep the first fraction

3/5 ÷ 2/1

Flip the last fraction (swap the numbers)

3/5 ÷ 1/2

Change the sign (to a multiplication symbol)

3/5 x 1/2

Then, finally, to solve for the answer, we multiply across (3 x 1 and 5 x 2).

3 x 1 = 3

5 x 2 = 10

The answer is 3/10 because it cannot be simplified any further.

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Answer:

(3, 1), (6, 2), (9, 3)

Step-by-step explanation:

x = 3

[tex]y=\frac{1}{3} *\frac{3}{1}= \frac{3}{3} =1[/tex]

x = 6

[tex]y=\frac{1}{3} *\frac{6}{1} =\frac{6}{3}=2[/tex]

x = 9

[tex]y=\frac{1}{3}* \frac{9}{1}=\frac{9}{3} =3[/tex]

Answer: SAS

Explanation: There are two sides that are congruent and there is one vertical angle between them which are always congruent.

Answer:

yes it's on a 1.5 scale factor.....I think. The question you put at the top threw me off at first but the picture makes sense. I'm not entirely sure if this is right but if you adjust the triangle to be the same way as the other one then you will see which sides correspond to each other. Each number can be multiplied by 1.5 to get the number that is on the side of the other triangle that corresponds with it....if that makes any sense

Answer:

15c + 25s ≤ 1500

Step-by-step explanation:

Let the number of stools be s

Let the number of chairs bought be c

If each tools cost $15, s stools will cost $15c

If a chairs cost $25, c chairs will cost $25s

Total costs = 15c + 25s

If the center cannot spend more than $1500, then the required equation will be 15c + 25s ≤ 1500

The inequality sign will be less than and equal to since they cannot spend an amount greater than $1500.

Hence the correct equation is  15c + 25s ≤ 1500

pentagon for sure based on the options

Answer:

[tex] 3^{12} [/tex]

Step-by-step explanation:

[tex] \dfrac{(3^5)^2}{3^{-2}} = [/tex]

[tex] = \dfrac{3^{10}}{3^{-2}} [/tex]

[tex]= 3^{10-(-2)}[/tex]

[tex] = 3^{10 + 2} [/tex]

[tex] = 3^{12} [/tex]

Answer:

[tex]3^{12}[/tex]

Step-by-step explanation:

[tex]\frac{(3^5)^2}{3^{-2}} \\=\frac{3^{(5*2)}}{3^{-2}} \\=\frac{3^{10}}{3^{-2}} \\=3^{(10-(-2)}\\=3^{(10+2)}\\=3^{12}[/tex]

Answer:

7

Step-by-step explanation:

Answer:

C.) 2.07 × 10^6

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The solution is Option C.

The value of the number 2,070,000 written in scientific notation is

A = 2.07 x 10⁶

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be represented as A

Now , the value of A is

A = 2,070,000

Now , to write the number in scientific notation ,

Multiply the number 207 with powers of 10

So , the value of A will be

A = 207 x 10⁴

Now , the number 207 can be written as 2.07 x 10²

On simplifying the equation , we get

A = 2.07 x 10² x 10⁴

A = 2.07 x 10²⁺⁴

A = 2.07 x 10⁶

Therefore , the value of A is 2.07 x 10⁶

Hence , the value of the number is 2.07 x 10⁶

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Miles walk a total of 8 miles.

First, we need to take $8 away from the total ($26) to get $18.

Then, we divide $18 by 2 to get the total distance, which is 9 miles.

Answer:

$70.80

Step-by-step explanation:

Answer:

$2.88

Step-by-step explanation:

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Answer:

4 million a day, 28 million a week, 145,600,000 a year.

Step-by-step explanation:

6 million times 4 is 24 million. Which explains 4 million daily.

4 million times 7 days a week is 28 million weekly.

28 million times 52 weeks a year is 145,600,000.

Answer:

40000 and 12.5% respectively

Step-by-step explanation:

soln:

given,

cost price(c.p)=320000

selling price(s.p)=280000

loss(l),loss percentage(l%)=?

we know,

l=c.p-s.p

or,l=320000-280000

•°•l=40000

now,

l%=l/c.p*100%

or,l%=40000/320000*100%

•°•l%=12.5%

Answer:

is the answer 7ft?

Step-by-step explanation:

i am not completely sure

Set up a ratio of the height over the distance to the mirror/

X/5 = 28/7

Cross multiply:

7x = 140

7? = 140

Divide both sides by 7

? = 140/7

? = 20

The answer is 20 feet

Answer:

m<2.5

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

Option C

explanation:

Substitute in 11 to get -4+55=18+33. 51=51 is a correct statement.

Answer:

C

Step-by-step explanation:

Answer:

x=-1

Step-by-step explanation:

3(x−4)=15x

Use the distributive property to multiply 3 by x−4.

3x−12=15x

Subtract 15x from both sides.

3x−12−15x=0

Combine 3x and −15x to get −12x.

−12x−12=0

Add 12 to both sides. Anything plus zero gives itself.

−12x=12

Divide both sides by −12.

x=  

−12

12

​  

Divide 12 by −12 to get −1.

x=−1

Answer:

[tex]3(x- 4)=15x[/tex]

[tex]3x-12=15x[/tex]

[tex]3x-12+12=15x+12[/tex]

[tex]3x=15x+12[/tex]

[tex]3x-15x=15x+12-15x[/tex]

[tex]-12x=12[/tex]

[tex]\frac{-12x}{-12}=\frac{12}{-12}[/tex]

[tex]x=-1[/tex]

Answer:

x = 20

Step-by-step explanation:

The length of the segment EG can be obtained as the sum of the segments EF and FG, that is:

EG = EF + FG

We are given:

EF = 4x + 14

FG = 50

EG = 144

Thus, we set the equation:

144 = 4x + 14 + 50

Simplifying:

144 = 4x + 64

Subtracting 64:

80 = 4x

Dividing by 4:

x = 80/4 = 20

x = 20

300 meters per minute: 3600 meters per hour

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Answer:

$3.53

Step-by-step explanation:

hot dogs = $1.25 each

2 hot dogs = 1.25 × 2

= $2.50

A serving of onion rings = $2.99

Drink = $0.98

Total amount with Karen = $10.00

how much change will Karen receive?

Total cost = 2 hot dogs + A serving of onion rings + Drink

= $2.50 + $2.99 + $0.98

= $6.47

Karen's change = Total amount with Karen - Total cost

= $10.00 - $6.47

= $3.53