Cate and Elena were playing a card game. The stack of cards in the middle had 27 cards in it to begin with. Cate added 6 cards to the stack. Elena then took 10 cards from the stack. Finally, Cate took 7 cards from the stack. How many cards were left in the stack?

Answer:

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Answer:

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The answers to the geometry questions attached are :

5.)

UW = 6x - 35

UW = UV + VW (total length of a line segment)

UV = 19

VW = 4x - 20

6x - 35 = 19 + 4x - 20

6x - 4x = 19 - 20 + 35

2x = 34

x = 34 / 2

x = 17

UW = 6x - 35 = 6(17) - 35 = 67

6.)

HJ = 7x - 27

HJ = HI + IJ (total length of a line segment)

7x - 27 = 3x - 5 + x - 1

7x - 3x - x = - 5 - 1 + 27

3x = 21

x = 21 /3

x = 7

7.)

BD = 7x - 10

BC = 4x - 29

CD = 5x - 9

BD = BC + CD (total length of a line segment)

7x - 10 = 4x - 29 + 5x - 9

7x - 4x - 5x = - 29 - 9 + 10

-2x = - 28

x = 14

BD = 7(14) - 10 = 88

BC = 4(14) - 29 = 27

CD = 5(14) - 9 = 61

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Answer:

[tex]2 + p = \frac{4}{5} + \frac{3}{5} p \\ p \: terms \: togather \\ p - \frac{3}{5} p = \frac{4}{5} - 2 \\ \frac{5p - 3p}{5} = \frac{10 - 4}{5} \\ \frac{2p}{5} = \frac{3}{5} \\ 2p = 3 \\ p = \frac{3}{2} \\ thank \: you[/tex]

The value of p in the given equation 2 + p =4/5 + 3/5p is -5/2.

Two or more expressions with an Equal sign is called as Equation.

The given equation is 2 + p =4/5 + 3/5p

Two plus p equal to four by five plus three by five times of p.

p is the variable in the given equation.

2 + p =4/5 + 3/5p

Take the variable terms on one side.

2-4/5 =3/5p-p

6/5= -2p/5

5=-2P

P=-5/2

Hence, the value of p in the given equation 2 + p =4/5 + 3/5p is -5/2.

To learn more on Equation:

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Step-by-step explanation:

slope = ( y2-y1) / (x2-x1)

= (5-3) / (11-7)

= 1/2

y= mx+ b

m = slope

5 = 11/2 + b

5 - 5.5 = b

b = -0.5

the equation y = 1/2(x) - 0.5

The equation of line is x-2y =1

Slope-intercept form: The equation of line with slope m and making an intercept c on the y-axis, is y = mx + c.

Given coordinates are:

(7, 3) and (11, 5)

now, equation of line

(y- y1)= (y2-y1)/(x2-x1) *(x-x1)

y-3 =(5-3)/(11-7) *(x-7)

y-3= 2/4 * (x-7)

y-3= 1/2(x-7)

2y-6= x-7

x-2y =1

Hence, the equation of line is x-2y =1.

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Answer:

Should be

Step-by-step explanation:

hope it helps

Answer:

48 inches

or

0.8 minutes

Step-by-step explanation:

To find the unit rate of inches per hour, divide 144 by 3.

144÷3=48

You don't need to round because there are no decimals.

To find the time to braid 1 inch, first multiply 3 by 60 (because there are 60 minutes in 1 hour).

3×60=180

Then divide 144 by 180.

144÷180= 0.8

You don't need to round because there are no thousandths.

Answer:

(-5,8)

Step-by-step explanation:

The left number represents the x-axis, the right one the y-axis. A translation to the right means in the positive direction on the x-axis, which is why we add 3 to -8 which gives us -5. Down on the y-axis is in the negative direction, which means we have to subtract 1 from 9, giving us 8.

Answer:

the answer is the same since it is the same numeral so in terms of y=mx+c and x1/y1 would be inversely proportional to x2/y2 which is perfectly direct proportional to x3/y3×2 and then dy over dx is the problem of integration so you use (x2/x3÷y2/y3)×x1^y1

Answer:

( t - p ) /  85x =  h

( t - 265.95 ) /  85x  = h

648.45 - 265.95 / 85x = 3.32h

h = 3.32

Therefore ( t - p ) /  85x =  3.32

Step-by-step explanation:

648.45 - 265.95

282.50 /85

= 3.32 hrs

Finding equation to find hours can be shown as

( t - p ) /  85x =  3.32

How we found equation to find total

Parts = 19 x 14 - 5/100 = 266- 0.05

648.45 - 265.95 = 282.5

282.5/85 = 3.323  near to 3,233529

Labour = 85x  = 17 (5 + x)

Equation = 17(5+ x) + 14(19) - 5/100 = 648.45 where x = 85

Equation = ( 85x x 3  1/3) + 265 - 19/20 = t

The repair bill is an illustration of a linear equation. The equation that represents the scenario is: [tex]648.45= 265.95+ 85\times x[/tex]

And the solution (i.e. number of hours) is: 4.5 hours

Given that:

[tex]Bill = 648.45[/tex]

[tex]Parts = 265.95[/tex]

[tex]Labour = \$85[/tex] per hour

Let the number of hours spent be x

So, the equation is:

[tex]Bill = Parts + Labour \times x[/tex]

This gives;

[tex]648.45= 265.95+ 85\times x[/tex]

Collect like terms

[tex]648.45-265.95= 85\times x[/tex]

[tex]382.5= 85\times x[/tex]

Divide both sides by 85

[tex]4.5 =x[/tex]

[tex]x = 4.5[/tex]

Hence, the equation is:

[tex]648.45= 265.95+ 85\times x[/tex]

And the solution (i.e. number of hours) is: 4.5 hours

Read more about linear equations at:

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Answer:

A= (-6, 5)

M= (-1.5, -1)

B= (3, -7)

Step-by-step explanation:

*----------------*---------------*

A                  M                B

B has the same distance from M as A from M.

Answer:

oops its 90%

Step-by-step explanation:

Answer:

90%

Step-by-step explanation:

90+10 is 100 and if you think about like a fraction when you split up 100 into ten parts it makes ten of ten. 9/10 is equal to 90%

Answer:

x=-9

Step-by-step explanation:

Answer:

4.4

Step-by-step explanation:

180 - 116 = 64

116 - 72 = 44

10x = 44

x = 4.4

Answer:

y = x - 8

Step-by-step explanation:

There's no magic method to doing these, and problem 21 makes it harder to see a pattern by using inputs that are not consecutive integers (like problem 20 does)!

Looking at inputs 20 and 21, the outputs are 8 less than the inputs.  Check the other inputs and notice that the same pattern holds up.

If G is to the right of E, add the total length to point E:

G = -3 + 7 = 4

If G is to the left of E subtract the total length from E:

G = -3 -7 = -10

The possible coordinates are -10 or 4

Answer:

8.2

Step-by-step explanation:

If each student in the group collected 15 shells, we know that there are 123 students on the field trip, so we can take 123 and divide it by 15 to get 8.2 or 41/5.

Step-by-step explanation:

slope = x factor = - 5/2

Perpendicular slopes must be opposite reciprocals of each other:  m1 * m2 = –1

New slope = 2/5 = m

y = mx + b

from the point given y = 2 | x = -4

2 = (2/5 × -4 ) + b

2 = - 1.6 + b

b = 3.6

line equation

[tex]y = \frac{2}{5} x + 3.6[/tex]

Answer:

option 2 is answerrrrrrrrrr

Answer:

2.57

Step-by-step explanation:

3x²-5x-7=0

Eqn and u will get the answer

Answer:

200

Step-by-step explanation:

10 × 20 = 200

have a good day

Answer:

16, 8, 36

Step-by-step explanation:

To solve for x for the first answer, multiply 4 by y

[tex]y = \frac{x}{4} \\\\y (4) = x\\\\x = 4(4)\\ x= 16[/tex]

To solve for x for the second answer, multiply 2 by y

[tex]y = \frac{x}{4} \\\\y (4) = x\\\\x = 2(4)\\ x= 8[/tex]

To solve for x for the third answer, multiply 9 by y

[tex]y = \frac{x}{4} \\\\y (4) = x\\\\x = 9(4)\\ x= 36[/tex]

Step-by-step explanation:

While there are no examples available, there is the room to understand each angle type you listed, vertical angles are angles that are opposite from each other, and they are congruent (they have the same angle in degrees) now, imagine that for vertical angles, they are in an X top and bottom are equal, and the two sides are equal. For a straight angle, that is usually two angles that are right angles (90 degrees) back to back, meaning when you add 90 and 90 degrees together, you get a straight line or a 180 degree angle. An example of an acute angle is any angle less than 90 degrees, that is a real number, so imagine 25, 40, and 60 as all acute angles.

Hope this helps you identify them in your problem!

Answer:

CD = 38

Step-by-step explanation:

Answer

BC = CD

And,

BC + CD = BD

8x + 8 + 6x - 28 = 10x + 24

14x - 20 = 10x + 24

14x - 10x = 24 + 20

4x = 44

x = 44/4

x = 11

CD = 6(11) - 28

66 - 28

38

Answer:

CD = 38

Step-by-step explanation:

We know that BC and CD will add up to equal BD so we can create a equation and solve for x.

(8x + 8) + (6x - 28) = 10x + 24

~Combine like terms

14x - 20 = 10x + 24

~Add 20 to both sides

14x = 10x + 44

~Subtract 10x to both sides

4x = 44

~Divide 4 to both sides

x = 11

~Now substitute into CD

6(11) - 28

66 - 28

38

Best of Luck!

Step-by-step explanation:

if you mean x multiply 2 :

j(x) = 2x + 1

j(a+1) = 2(a+1) + 1

= 2a+ 2 +1

=2a + 3

if you mean x to the power of 2

j(x) = x^2 +1

j(a+1) = (a+1)^2 + 1

= a^2 + 2a + 1 +1

= a^2 + 2a + 2

Answer:

I think it may be 52.2 miles

Step-by-step explanation: