Carlos is five years older than twice his sister's age. Carlos is 13. Which equation and solution correctly identifies his sister's age?
2x - 5 = 13; x = 9
2x + 5 = 13; x = 4
2x - 5 = 13; x = 4
2x + 5 = 13; x = 9

Answer:

C. 360 cm²

Step-by-step explanation:

scale factor: 1:3

area = 3² times

40 x 9 = 360

Answer:

8.) u=12.37

16.) p=75

17.) m=52

18.) n=112

Step-by-step explanation:

u-2.07=10.3

u=12.37

5=p/15

p=75

m/26=2

m=52

n/16=7

n=112

Answer:

68/100*92= 62.56

No abbi does not pass exam.

Answer:

Yes that is correct

Step-by-step explanation:

Answer:

The correct answer is ^4sqrt24x^3/2x or B on edge.

hope this helps!!:)

Step-by-step explanation:

Answer:

A. 5x+y+3

Step-by-step explanation:

to combine like terms you get the numbers that have the same variable. you will combine 2x and 3x and to combine them you add them 2x+3x and it equals 5x. you will do the same for the numbers left... -2y and 3y = 1y or y and 3 is left so we dont do nothing and after you do that you will put it in an equation variables go first and you order them in alphabetical order so 5x will go first then y and lastly the 3

Answer:

4

Step-by-step explanation:

The computation is shown below:

Given that

There are total number of students i.e. 48

The ratio at present is 4:1

Now the computer needed to make the ratio be 3:1

So let us assume the number of students be 4x

And, the number of computers be x

So the 4x = 48

x = 12

So the computer be 12

Now the new ratio is 3:1

Students be 3x

And, computers be x

So

3x = 48

x = 16

Now the more computer needed is

= 16 - 12

= 4

hence, this is the answer but the same is not provided in the given options

Mrs. Mitra needs to buy 4 more computers to make the ratio 3: 1

The present total number of students = 48

Ratio of the number of students to the number of computers = 4: 1

(Number of students) / (Number of computers) = 4/1

48 /  (Number of computers) =  4/1

Number of computers = 48/4

Number of computers = 12

If the ratio of the number of students to the number of computers = 3:1

48 / (Number of computers) = 3/1

3(Number of computers) = 48

Number of computers = 48/3

Number of computers = 16

Additional number of computers = 16 - 12

Additional number of computers = 4

Mrs. Mitra needs to buy 4 more computers to make the ratio 3: 1

Learn more here: https://brainly.com/question/20516142

Answer:

T = 2300 + 250q

Step-by-step explanation:

Given that:

Initial temperature = 2300 F

Extraction temperature = 3600 F

Rate of temperature increase = 250 F per quarter hour, q

Temperature of furnace after q quarter hours ;

(Initial temperature + rate of temperature increase * number of quarter hours )

(2300 + 250 * q)

2300 + 250q

Answer:

1=1, 2, 4, 8,

2=65.52

3=2.265

Step-by-step explanation:

Answer:

4x +10 + 3x +2 = 180 (since they're supplementary, the angles together =180)

7x +12 =180  (combine like terms on left side, and subtract 12 from both sides)

7x = 168 (divide both sides by 7 to isolate x)

x= 24

angle 1 = 4(24)+10 (plug x into the expression for each angle, and solve)

..................96 +10

angle 1 = 106 degrees (the measure of the first angle)

angle 2 = 3(24) +2

..................72 +2

angle 2 = 74 (the measure of the second angle)

106 +74 =180 (the two add up to 180, so they're supplementary)

Step-by-step explanation:

I hope this helps :)

Answer: C:10

Step-by-step explanation:

Equation of a line passes through (a,b) and (c,d) :

[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]

Equation of line passes through A(-2,8) and B(4,14) will be :

[tex]y-8=\dfrac{14-8}{4-(-2)}(x-(-2))\\\\\Rightarrow\ y-8= \dfrac{6}{6}(x+2)[/tex]

[tex]\Rightarrow\ y-8=x+2\\\\\Rightarrow\ y= x+2+8\\\\\Rightarrow\ y=x+10[/tex]

For y-intercept , put x= 0 , we get y= 10

So, the y-intercept = 10

Thus , correct option = C:10

Answer:

45 students

Step-by-step explanation:

40+40=80   40/2=20   80+20=100

18+18=36      18/2=9       36+9=45

horrible explaining but hope it helps :)

Answer:

45

Step-by-step explanation:

18 ÷ 45 = 0.4 = 40%

Answer:

think its x=3 hope it helps

Answer:

C

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

do 140 times .25 to get 35

Answer:

25% of 140 is 35

Step-by-step explanation:

Hope this helps!

Because the lines are parallel, the 71 degree angle and the (5x-26) angle when added together need to equal 180 degrees.

SO you have 71 + 5x -26 = 180

Simplify:

5x + 45 = 180

Subtract 45 from both sides:

5x = 135

Divide both sides by 5:

x = 135 / 5

x = 27

Now you have x solve what that angle equals:

5x - 26 = 5(27) - 26 = 135 - 26 = 109 degrees

The angle Y and the angle 5x-26 are vertical angles, which mean they are the same,

so now we know 5x-26 = 109 degrees, so Y also equals 109 degrees.

The answers are:

x = 27

y = 109

Answer:

it is important to keep in mind that the interior of a triangle is 180º. Im not sure if the side your solving for is the longest or shortest one but the teo long side must be great than the third. dind the angles of the triangle that should help.

Step-by-step explanation:

Answer:

~~~~~~~~

Step-by-step explanation:

X + Y = 50. Subtract the first equation (X + Y = 50) from this one: Y = 33. Thus Phil has 33 dimes, and 17 nickels.

Answer:

x = 63; y = 27

Step-by-step explanation:

x + 117 = 180

x = 180 - 117

x = 63

x + y = 90

63 + y = 90

y = 90 - 63

y = 27

Bam! UwU

Lol Hope this helps !

That is a question about angles.

There are two informations in that image that we should to note:

With these two informations we can solve that question. The first step is solve the second equation, and we will find the x value. Finally, we change the x value in the first equation and we find the y value. Let's solve the equations:

[tex]x + 117 = 180\\x = 180 - 117\\x = 63[/tex]

So, the value of x is 63°. Let's replace the x value in the first equation.

[tex]x+y = 90\\63 + y = 90\\y = 90 - 63\\y = 27[/tex]

Thus, the value of y is 27°.

Therefore, the correct option is the option says x = 63°, y = 27°.

I hope I've helped. :D

Enjoy your studies. \o/

Answer:

27.95 and 34.05 are compatible because when you add up the decimals, the equal 0, which makes it easier to add. 27. 95 + 34.05 = 61.00.

Same with 19.37 and 21.63, it adds up to 40.00

The answer to all of this would be 101.00

13 i thin kaaks si s jd fj nojxiiubscnhubsuind

Answer: 54/4 or 13 2/4

Step-by-step explanation: So first you have to make both fractions into improper fractions. So 15(4)+3=63 over the denominator which is 4. And 2(4)+1=9 over the denominator which is 4. Then subtract the two fractions: 63/4-9/4, and since the two denominators are the same you keep it as 4. So the answer would be 54/4 or if you need it to be a mixed number, 13 2/4.

Answer:

−

6

−

2

0

=

−

2

+

4

(

1

−

3

)

−

6

−

2

0

=

−

2

+

4

(

−

3

+

1

)

2

Distribute

−

6

−

2

0

=

−

2

+

4

(

−

3

+

1

)

−

6

−

2

0

=

−

2

−

1

2

+

4

3

Combine like terms

−

6

−

2

0

=

−

2

−

1

2

+

4

−

6

−

2

0

=

−

1

4

+

4

4

Add

2

0

20

20

to both sides of the equation

−

6

−

2

0

=

−

1

4

+

4

−

6

−

2

0

+

2

0

=

−

1

4

+

4

+

2

0

5

Simplify

Add the numbers

Add the numbers

−

6

=

−

1

4

+

2

4

6

Add

1

4

14p

14p

to both sides of the equation

−

6

=

−

1

4

+

2

4

−

6

+

1

4

=

−

1

4

+

2

4

+

1

4

7

Simplify

Combine like terms

Combine like terms

8

=

2

4

8

Divide both sides of the equation by the same term

8

=

2

4

8

8

=

2

4

8

9

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

3

Solution

=3

Step-by-step explanation:

please give me brainliest

Answer:

3

Step-by-step explanation:

Answer:

City A:

[tex]A - 3[/tex]

City B:

[tex]B - 8[/tex]

City B has a greater change in temperature.

Step-by-step explanation:

City A:

Let the initial temperature of city A at 8 AM = [tex]A\ ^\circ F[/tex]

Temperature change from 8 AM to 9 AM: 4[tex]^\circ F[/tex] rise

Temperature at 9 AM = [tex](A+4)\ ^\circ F[/tex]

Temperature change from 9 AM to 10 AM: 7[tex]^\circ F[/tex] drop

Temperature at 9 AM = [tex](A+4 -7 )\ ^\circ F = (A-3)\ ^\circ F[/tex]

Total change in temperature = [tex](A - 3) - A = 3\ ^\circ F[/tex] drop

City B:

Let the initial temperature of city B at 8 AM = [tex]B\ ^\circ F[/tex]

Temperature change from 8 AM to 9 AM: 6[tex]^\circ F[/tex] drop

Temperature at 9 AM = [tex](B-6)\ ^\circ F[/tex]

Temperature change from 9 AM to 10 AM: 2[tex]^\circ F[/tex] drop

Temperature at 9 AM = [tex](B-6 -2 )\ ^\circ F = (B-8)\ ^\circ F[/tex]

Total change in temperature = [tex](B - 8) -B = 8\ ^\circ F[/tex] drop

Therefore, the answer is:

City B has a greater change in temperature.

Answer:

x=-6

Step-by-step explanation:

So you can write this as 10x-8x+2+10=0

Now you have to solve this equation for x

2x+12=0

2x=-12

x=-6

Answer:

angle A is 75:the four corners are 90 degrees so 75+15 is 90 and is looks like A is the same.

angle C is 55:180-125=55

Angle D is 90-15 so think its 75?

Step-by-step explanation:

im probably wrong but maybe not?

Answer: 33

Step-by-step explanation:

a + b/c = 24 + 36/4 = 24 + 9 = 33

Answer:

33

Step-by-step explanation:

33 is the answer because when you have 24 + 36/4, 36 / 4 = 9, so the equation would become 24 + 9, and that's how you get 33

Answer:

5

Step-by-step explanation:

Remember, the sum of all the angles in a triangle equals 180 degrees.

Moreover, looking at the diagram, we can see sides BA and BC are identical. This means this triangle is an isosceles triangle. Remember, all isosceles triangles will also have two identical angles. In this case, angles A and C are identical (meaning A and C are both 73 degrees).

So, if A is 73 degrees, C is 73 degrees, and we know that all the angles must sum to 180 degrees (so A + B + C = 180), then we can construct the following equation to solve for x:

[tex]73+73+6x+4=180\\150+6x=180\\6x=180-150\\6x=30\\x=\frac{30}{6}\\x=5[/tex]

Answer:

9.913 × 108

Step-by-step explanation:

Answer:

1) Solving the term [tex](3x + 5)(2x - 3)[/tex] using F.O.I.L we get [tex]\mathbf{6x^2+x-15}[/tex]

2) solving the term [tex](x + 2)(x - 13)[/tex] using F.O.I.L we get [tex]\mathbf{x^2-11x-26}[/tex]

3) Solving [tex](x+5)^2[/tex] using square of binomial we get [tex]\mathbf{x^2+10x+25}[/tex]

4) Solving [tex](x+5)^2[/tex] using square of binomial we get [tex]\mathbf{x^2-6x+9}[/tex]

Step-by-step explanation:

1) (3x + 5)(2x - 3). Solve using the F.O.I.L.

F.O.I.L stands for First, Outer Inner Last

We have [tex](3x + 5)(2x - 3)[/tex]

First: 3x(2x)

Outer: 3x(-3)

Inner: 5(2x)

Last: 5(-3)

Solving we get:

[tex](3x + 5)(2x - 3)\\=3x(2x)+3x(-3)+5(2x)+5(-3)\\=6x^2-9x+10x-15\\=6x^2+x-15[/tex]

So, solving the term [tex](3x + 5)(2x - 3)[/tex] using F.O.I.L we get [tex]\mathbf{6x^2+x-15}[/tex]

2) (x + 2)(x – 13). Solve using the F.O.I.L.

F.O.I.L stands for First, Outer Inner Last

We have [tex](x + 2)(x -13)[/tex]

First: x(x)

Outer: x(-13)

Inner: 2(x)

Last: 2(-13)

Solving we get:

[tex](x + 2)(x - 13)\\=x(x)+x(-13)+2(x)+2(-13)\\=x^2-13x+2x-26\\=x^2-11x-26[/tex]

So, solving the term [tex](x + 2)(x - 13)[/tex] using F.O.I.L we get [tex]\mathbf{x^2-11x-26}[/tex]

3) (x + 5)^2. Solve using the square of Binomial.

The square of binomial is: [tex](a+b)^2=a^2+2ab+b^2[/tex]

Solving:

[tex](x+5)^2\\=(x)^2+2(x)(5)+(5)^2\\=x^2+10x+25[/tex]

So, solving [tex](x+5)^2[/tex] using square of binomial we get [tex]\mathbf{x^2+10x+25}[/tex]

4) (x -3)^2. Solve using the square of Binomial.

The square of binomial used is: [tex](a-b)^2=a^2-2ab+b^2[/tex]

Solving:

[tex](x-3)^2\\=(x)^2-2(x)(3)+(3)^2\\=x^2-6x+9[/tex]

So, solving [tex](x+5)^2[/tex] using square of binomial we get [tex]\mathbf{x^2-6x+9}[/tex]