Dawn has been using two bank accounts to save money for a car. The difference between account 1 and account 2 is $100. If she uses 3/8 of account 1 and 7/8 of account 2, Dawn will have a down payment of $2,000. Solve the system of equations to find the total amount of money Dawn has in each account.

A – B = 100

Three-eighthsA + Seven-eighthsB = 2,000

Dawn has $
in account 1 and $
in account 2.

Answer:

m< 3 = 180 - 93

m< 3 = 87 degrees

m< 4 = 180 - 87 - 49

m< 4 = 44 degrees

m< 2 is vertically opposite to the 49 degree angle given

m< 2 = 49 degrees

m< 1 = 180- 68 - 49

m< 1 = 63 degrees

The measure of each missing angle are; m< 1 = 63, m< 2 = 49, m< 3 = 87 and m< 4 = 44 degrees

The vertically opposite angles are those angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.

We can determine angle 3 as;

m< 3 = 180 - 93

m< 3 = 87 degrees

Also,

m< 4 = 180 - 87 - 49

m< 4 = 44 degrees

We can see that m< 2 is equal to 49-degree angle by a vertically opposite angle.

m< 2 = 49 degrees

m< 1 = 180- 68 - 49

m< 1 = 63 degrees

Hence, the measure of each missing angle are; m< 1 = 63, m< 2 = 49, m< 3 = 87 and m< 4 = 44 degrees

Learn more about vertically opposite angles;

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Answer:

Antonio's work is correct but his method is not

Step-by-step explanation:

(57–8+5)÷9(17–14) = (49+5)÷9

Antonio work:

Step 1 = (49+5)÷27

Step 2 = 54÷27

Step 3 = 2

Correct working:

Step 1:

Addition first

-8 + 5 = -3

= (57 - 3) ÷ 9(3)

Step 2:

= 54 ÷ 27

Step 3:

= 2

Antonio's work is correct but his method is not

He subtracted first when he is supposed to add first according to the rule of BODMAS

B - bracket

O - off

D - division

M - multiplication

A - Addition

S - subtraction

Answer:

2) A

3) A

Step-by-step explanation:

2:

3y + 4x = 15

(divide 15 by 3 to get y by itself... then subtract 4 to the side with 15 so you have the proper equation)

y = 5 - 4x (when you graph it, the y intercept is 5)

3:

since x = -4y  ... you substitute that into the second equation

-4y + 5y = 2

then solve for y

y = 2

so now you substitute y into the first line

x = -4(2)

x = -8

Step-by-step explanation:

-143 = -11x : Original problem

[tex]\frac{-143}{-11}[/tex] = [tex]\frac{-11x}{-11}[/tex] : Isolating the variable

13 = x : Simplification  (Note: when you divide a negative number by a negative number, the answer is positive)

Answer: x=13

Hope this helps!!!

Answer:

C

Step-by-step explanation:

Since it is only addition and subtraction, you can rearrange the order of the equations. This is what the three eqautions will look like after the arrangement:

1.6z + 8.3 z = ? (9.9z)

6.2y - 5.1y = ? (1.1y)

4.3x + 5.5x = ? (9.8x)

Then you just add and subtract.

Answer: 36

Step-by-step explanation:

From the question, we are informed that for every 4 silver cars that are sold, 6 red cards are also sold.

When there are 90 cars sold in a month, the number of silver cars that were sold would be:

= [4 / (4 + 6)] × 90

= 4/10 × 90

= 4 × 9

= 36 silver cars

Answer:

240, i think

Step-by-step explanation:

Step-by-step explanation:

[tex]13 \frac{3}{4 } + x = 7 \frac{1}{4} [/tex]

[tex] \frac{55}{4} + x = \frac{29}{4} [/tex]

[tex]x = \frac{29}{4} - \frac{55}{4} [/tex]

[tex]x = - \frac{13}{2} [/tex]

Answer:

ok

Step-by-step explanation:

Answer:

didn't work

Step-by-step explanation:

Answer:105

Step-by-step explanation:

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

f(x) = (x-5)²+1

put x = 2

f(2) = (2-5)²+1 = (-3)²+1 = 9+1 = 10

put x = 3

f(3) = (3-5)²+1 = (-2)²+1 = 4+1 = 5

put x = 4

f(4) = (4-5)²+1 = (-1)²+1 = 1+1 = 2

put x = 5

f(5) = (5-5)²+1 = (0)²+1 = 0 + 1 = 1

put x = 6

f(5) = (6-5)²+1 = (1)²+1 = 1 + 1 = 2

Thus, the table wil be completed as:

x           2         3       4         5        6

f(x)         10        5       2         1        2

Please check the attached figure for the plotting graph.  

Answer:

He is correct^^^^^^

Step-by-step explanation:

just took the test

Answer:

(x, y) ----> (x - 2, y + 2.5)

This is the rule because a letter with an apostrophe is the image after. If it has no apostophre, it is the PRE-IMAGE. Let's look at C.

C (4, -5)

C'(2, -2.5)

4-2 = 2

-5+2.5 = -2.5

Since those are the coordinates of C', that is your rule.

Answer:

52.5

Step-by-step explanation:

WX curve is 105 degrees

so to find WYX, you need to divide the WX curve by 2:

105 / 2 = 52.5 degrees

I think this is right, I have not done this in years so I am rusty at this

Answer:

168*pi square yards.

Step-by-step explanation:

So, first the surface area of a cylinder is the sum of the two circles plus the rectangle forming the column.

The area of the column is the height x perimeter of the circle

and

The area of the circles is pi x radius^2

Just add all of those up.

Column: 5 * 2 * pi * 7 = height * 2pi * radius = 70*pi

2 x Circle = 2 x pi * 7^2 = 2x49*pi = 98*pi

Sum: 70*pi + 98*pi = 168* pi

Answer:

3/5

Step-by-step explanation:

3 + 6 + 1 = 10

6 green, 6/10

3/5

Answer:

3/5

Step-by-step explanation:

Answer:

I personally think the third one

Step-by-step explanation:

Answer:

d.24

Step-by-step explanation:

12*2=24 and a negative times a negative always equals a positive.

Answer:

A

Step-by-step explanation:

Answer:

The mean for brand B is lower than the mean for brand A.

Step-by-step explanation:

Test appoved

Answer:

Ans C

m=4/5

X1= -7

Y1 = 9

Y-Y1=m(X-X1)

Y-9=4/5(X-(-7))

Y-9=4/5(X+7)

Answer:

640 is the Answer

Step-by-step explanation:

Answer:

1360 square inches

Step-by-step explanation:

So to find area, you do bh

b is base

h is height

The base the of the rectangle going vertical in the plus sign is first.

The base is 20 and the height is 44

20 times 44 yields 880

then the two rectangles on either side of the bigger rectangle.

20 is the height, 12 is the base.

20 times 12 yields 240

there are two of those rectangles so

240 times 2 yields 480

480 plus 880 yields 1360

Answer:

12

Step-by-step explanation:

[tex]-2\sqrt{6x+3} = -18[/tex]

divide both sides by negative 2

[tex]\sqrt{6x+3} = 9[/tex]

square both sides

6x+3=81

6x=78

x=12

Answer:what is this

Step-by-step explanation:

Answer:

The answer is A = 14 B = 4  14 - 4 = 10 I think.

Step-by-step explanation:

It's not a sum its a difference because this is a subtraction problem I think.

Answer:

$21.97

Step-by-step explanation:

2(5.99)+ 1(9.99) = 11.98 + 9.99 = 21.97

Answer:

[tex]56[/tex] cents

Step-by-step explanation:

If [tex]18[/tex] inches of wire cost [tex]72[/tex] cents, then each inch of wire will cost [tex]\frac{72}{18}=4[/tex] cents. Therefore, 14 inches of wire will cost [tex]14*4=56[/tex] cents. Hope this helps!

Answer:

56 cents

Step-by-step explanation: 72 cents divided by 18= 4 so for one inch of wire it cost 4 cents       Then 14 inches times 4= 56  I think thats

the answer

Answer:

3

Step-by-step explanation:

Given that:

Integers : x, x + 1, x + 2

6x - 2(x + 1) = (x+2) + 5

6x - 2x - 2 = x + 2 + 5

4x - 2 = x + 7

4x - x = 7 + 2

3x = 9

x = 9/3

x = 3

First integer = x = 3

2nd integer = x + 1 = 3+1 = 4

3rd Integer = x + 1 + 1 = 3 + 2 = 5

Answer:

Regular peanut butter - .23

Family Size Peanut Butter - .15

Answer:

#1: 0.23

#2: 0.15

Step-by-step explanation:

1.38/ 6= 0.23

6*0.23= 1.38

7.80/ 52= 0.15

0.15*52= 7.80