Gavin and Ethan are training for a race. Last week,gavin ran 7 kilometers and Ethan ran twice as far as gavin what is the total distance that gavin and Ethan ran last week express your answer in meters.

Answer:

Yes, they are congruent.

Step-by-step explanation:

Reflected triangles can be congruent

To be congruent two triangles must be the same shape and size. However one triangle can be reflected, that is, flipped over with respect to the other.

Answer:

Step-by-step explanation:

Two sides and the included angle are congruent:

Postulate: SAS

Congruence Statement: ΔRED ≅ ΔSOX

Answer: 12.70 cm

Step-by-step explanation:

12.70 is the correct answer

Answer:

there is no pic

Step-by-step explanation:

edit your question with a pic

Kelvin's new account balance is, $402.25

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

Kevin has a checking account. This month he deposits three paychecks.

Here, Each paycheck is for $225.75. He also makes two payments for utilities. Each payment is for $75. He makes a third payment for $125.

Hence, Kevin's new account balance is,

⇒ 3 × $225.75 - 2 × $75 - $125

⇒ $677.25 - $150 - $125

⇒ $402.25

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Answer:

x=1 and y= 5[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

To solve this, lets take the first equation and find the x value.

Because it is ordered in standard form, we need to convert to slope-intercept form, and isolate the y.

5x+4y=16

-5x       -5x

4y=-5x+16

÷4   ÷4  ÷4

y=[tex]\frac{-5}{4}[/tex]+4

or

y=-1[tex]\frac{1}{4}[/tex]+4

or

y= 5[tex]\frac{1}{4}[/tex]

Now that we have the y value, we can use this to find the x value by inserting it into either equation, since they both have y values in them. Going with the first one again, lets try it:

5x+4([tex]\frac{-5}{4}[/tex]+4)=16

5x-5+16=16

5x+11=16

    -11 -11

5x=5

÷5 ÷5

x=1 and y= 5[tex]\frac{1}{4}[/tex]

Answer:

52.91 pounds

Step-by-step explanation:

Answer:

644

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

y:3

y/3:1

She can make y/3 cards in one minute

Step-by-step explanation:

Answer:

Florence would have made 1/3y card in 1 minute

Step-by-step explanation:

the the total amount is y and y is also 3 then 3 is 3 times more than 1

sorry if it doesn't make sense.

Answer:

35% of 80 is 28

Step-by-step explanation:

Answer:

Step-by-step explanation:

43/100 or  43%

Step-by-step explanation:

1A (3,-2)

1B

By substitution

[tex]4x - 3y = 18 \\ 2x + y = 4 \\ y = 4 - 2x \\ 4x - 3(4 - 2x) = 18 \\ 4x - 12 + 6x = 18 \\ 10x = 30 \\ x = 3 \\ y = 4 - 2(3) \\ y = 4 - 6 = - 2[/tex]

1C

By elimination

[tex](4x - 3y = 18) -2 \times (2x + y = 4) \\( 4x - 3y = 18) - (4x + 2y = 8) \\ - 5y = 10 \\ y = - 2 \\ 4x - 3 \times ( - 2) = 18 \\ 4x + 6 = 18 \\ 4x = 12 \\ x = 3[/tex]

Answer:

a=4  b = -16  c=9

Step-by-step explanation:

4(x-2)^2 -7

We need to FOIL out the (x-2) ^2

( x-2)^2 = (x-2) (x-2) = x^2 -2x -2x+4 = x^2 -4x+4

Replace this in the equation

4( x^2 -4x+4) -7

Distribute

4x^2 -16x +16 -7

Combine like terms

4x^2 -16x +9

a=4  b = -16  c=9

Answer: a= 4 b=-16 c=9

Step-by-step explanation:

My teacher told me the answer

Answer:

x= 6.25

Step-by-step explanation:

The hypotenuse of triangle JKL is taken as 96, in the similar way the hypotenuse of triangle JTU is 36. So x can be found by first finding the value of JU, using the Pythagoras theorem.

[tex]a^{2} = b^{2} + c^{2}[/tex]

In this shape the formula will be:

[tex]TU^{2} = JT^{2} + JU^{2}[/tex]

Substitute the given values in the shape into the formula.

TU = 34

JT = 27

TU = Lets take 'y'

[tex]34^{2} = 27^{2} + y^{2}[/tex]

1156 = 729 + [tex]y^{2}[/tex]

[tex]y^{2}[/tex] = 1156 - 729

[tex]y^{2}[/tex] = 427

y = [tex]\sqrt{427}[/tex] = 20.7 ( rounded to 1 decimal place) = 21 (rounded to whole number).

So the original value of JU is '21', but we have to find the value of 'x'. So the expression '-4 + 4x' is equal to 21. This can be written as:

-4 + 4x = 21

4x = 21 + 4

4x = 25

∴ x = [tex]\frac{25}{4}[/tex] = 6.25

x= 6.25

Answer:

y=x+1

Step-by-step explanation:

4x-4y= -4

-4x         -4x

-4y = -4x-4

divide all by -4

y= x+1

Answer:

A,c,d

Step-by-step explanation:

The solution is Option A.

If the volume is 47 cm³ , then the height of the cone is approximately 5 cm and volume of cone is given by ( 1/3 ) πr²h

What is a Cone?

A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circular base) to a point(which forms an axis to the center of base) called the apex or vertex.

The volume of a cone is given by the equation

Volume of Cone = ( 1/3 ) πr²h

where r is the radius of the cone

h is the height of the cone

Given data ,

Let the radius of the cone be = r

Now , the value of r = 3 cm

So , the equation will be

The volume of the cone is given by the formula ,

Volume of Cone = ( 1/3 ) πr²h

where r is the radius of the cone

h is the height of the cone

a)

If the volume is 47 cm³, then the height of the cone is approximately 5 cm

So , substitute the values in the equation , we get

Volume of Cone = 47 cm³

So ,

( 1/3 ) πr²h = 47 cm³

Radius of cone r = 3 cm

Height of cone h = 5 cm

( 1/3 ) πr²h = 47 cm³

( 1/3 ) x 3.14 x 3 x 3 x 5 = 47

3.14 x 15 = 47

47 = 47

Therefore , the solution is true

Hence , If the volume is 47 cm³, then the height of the cone is approximately 5 cm and the volume of cone is given by ( 1/3 ) πr²h

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Answer:

2. 2 and 5/10

Step-by-step explanation:

5 and 3/10 - 2 and 4/5 —> 4 and 13/10 - 2 and 8/10 = 2 and 5/10

Answer:

Step-by-step explanation:

You are correct. It's 8/5

Answer:

your answer is correct

Step-by-step explanation:

Answer:

its 43

Step-by-step explanation:

Answer:

3 horses and 4 ducks

Step-by-step explanation:

let h be the no. of horses and d be the no. of ducks

h+d=7

d=7-h

Since horses have 4 legs and ducks have 2 legs,

4h+2d=20

4h+2(7-h)=20

4h+14-2h=20

2h=6

h=3

d=4

1!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

50 cm

Step-by-step explanation:

Let

x = number of months

Emma = 10 + 2x

Alice = 30 + x

Equate the equation of both girls

10 + 2x = 30 + x

10 - 30 = x - 2x

-20 = - x

x = 20

How long will their hair be?

Emma = 10 + 2x

= 10 + 2(20)

= 10 + 40

= 50cm

Alice = 30 + x

= 30 + 20

= 50 cm

Answer:

8

Step-by-step explanation:

All you have to do is 14 - 6 = ?

Answer:

x+6=14

Step-by-step explanation:

Let x stand for Micahs age

14 is rauls age

subtract 6 from 14 to get micahs age

Answer:

7 quarters, 8 nickels

Step-by-step explanation:

So the system of equations you have is:

x + y = 15

0.25x + 0.05y = 2.15

Here's how to solve:

first, multiply both sides of the equation 0.25x + 0.05y = 2.15 by 100 to get rid of the decimal places:

25x + 5y = 215

Then, you can divide both sides by 5 to simplify it more:

5x + y = 43

Now, you have the system of equations:

5x + y = 43

x + y = 15

Now subtract the two equations:

4x = 28

divide both sides by 4

x = 7

plug x = 7 into the equation x + y = 15 to solve for y:

7 + y = 15

subtract 7 from both sides

y = 8

So you know that there are 7 quarters and 8 nickels.

Answer:

John and his 3 friends decide to order food. The cost of one box of food is $x. If each boy purchases one box of food, what is the total cost? *

Answer:

A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer: D: x ∈ [0, 4)

Step-by-step explanation:

For a function:

y = f(x)

The range is the set of the outputs, the possible "y" values

The domain is the set of the inputs, the possible "x" values.

Now, we want to see the domain in which the function increases.

First, we can see that the whole domain of the graph is the interval:

[0, 9]

And a function is increasing if, reading from left to righ, the graph goes upwards.

In the image, we can see that the graph increases in the segment:

[0, 4)

Where we have an open segment because in the point x = 4 the graph stops increasing.

Then the domain where the function increases is:

D: x ∈ [0, 4)

Answer:

[tex]y=(-4/3)x+5[/tex]

Step-by-step explanation:

so you want to start by using y=mx+b

step one: find the slope (remember m is the slope in this)

m= [tex]\frac{y2-y1}{x2-x1}[/tex]

m= [tex]\frac{5+3}{0-6}[/tex]

m= [tex]\frac{8}{-6}[/tex]

m= - [tex]\frac{4}{3\\}[/tex]

step two: insert the value we found for m into the equation and take one of the given points and insert the x and y into the equation (im using (0,5)) and solve for b.

y=mx+b

5= -4/3(0)+b

5=b

step three: rewrite y=mx+b with the values we found for m and for b

[tex]y=(-4/3)x+5[/tex]