Adam’s bank account has a balance of $1213.69 before he starts spending money. He makes the following transactions:

Transaction
Cost ($)
Car payment
260.16
Groceries
97.98
Parking ticket
75.00
DVD box set
115.35
Antique lamp
68.53
Suit
331.84

Adam is considering getting his car a new paint job. Doing so will have a total cost of $264.83. Can Adam afford this?
a.
Yes, he can make the purchase and still have money left over.
b.
Yes, but doing so will clear out his account.
c.
No, purchasing that would overdraw his account.
d.
No, he is overdrawn already.

Answer:

[tex] 4 {x}^{7}[/tex]

Step-by-step explanation:

[tex] \bigg(16 {x}^{4} \bigg)^{ \frac{1}{4} } \ast2 {x}^{6} \\ = \bigg( {2}^{4} {x}^{4} \bigg)^{ \frac{1}{4} } \ast2 {x}^{6} \\ = {2}^{4 \times ^{ \frac{1}{4} }} {x}^{4 \times ^{ \frac{1}{4} }} \ast2 {x}^{6} \\ =2x \ast \: 2 {x}^{6} \\ = 2 \times 2 \times x \times {x}^{6} \\ {2}^{1 + 1} \times {x}^{1 + 6} \\ = {2}^{2} \times {x}^{7} \\ = 4 {x}^{7} \\ [/tex]

Step-by-step explanation:

AB = BC

2x - 8 = x + 17

2x - x = 17 + 8

x = 25

Answer:

x=-7

Step-by-step explanation:

hope this helps

Answer:

DIS WILL  help

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

81, 243, 729, 2187, 6561

Step-by-step explanation:

Note that the

third term 9 = 3²

fourth term 27 = 3³

Thus to obtain a particular term in the sequence we require the exponent to be one less than the terms position n in the sequence, that is

[tex]a_{n}[/tex] = [tex]3^{n-1}[/tex] , thus

first term 1 → [tex]3^{1-1}[/tex] = [tex]3^{0}[/tex] = 1

The next 5 terms in the sequence are

[tex]a_{5}[/tex] = [tex]3^{5-1}[/tex] = [tex]3^{4}[/tex] = 81

[tex]a_{6}[/tex] = [tex]3^{6-1}[/tex] = [tex]3^{5}[/tex] = 243

[tex]a_{7}[/tex] = [tex]3^{7-1}[/tex] = [tex]3^{6}[/tex] = 729

[tex]a_{8}[/tex] = [tex]3^{8-1}[/tex] = [tex]3^{7}[/tex] = 2187

[tex]a_{9}[/tex] = [tex]3^{9-1}[/tex] = [tex]3^{8}[/tex] = 6561

Answer:

$15

Step-by-step explanation:

1 chocolate cake and 6 egg tart costs $18.60.

1 chocolate cake and 24 egg tarts cost $29.40.

Find the difference in egg tarts first.

Difference in egg tarts = 24 - 6 = 18

Then, the difference in cost.

$29.40 - $18.60 = $10.80

Find the cost of 1 egg tart.

18 egg tarts = $10.80

18 egg tarts = $10.80

1 egg tart = $10.80 ÷ 18 = $0.60

To find the cost of a chocolate cake, you minus the cost of 6 tarts from $18.60.

6 egg tarts = $0.60 × 6 = $3.60

6 egg tarts = $0.60 × 6 = $3.601 chocolate cake = $18.60 - $3.60 = $15

Answer:

Step-by-step explanation:

ok so y= 7-2x just need to move 2x to the other side

Answer:

-2x+7 = y

Step-by-step explanation:

Check photo for explanation/ work and feel free to DM me if you need any 1 on 1 help!

Answer:

12x^2-5x-2

Step-by-step explanation:

Answer:

D) y=-1/2x+4

Step-by-step explanation:

D) y=-1/2x+4

In order to be parallel, it has to have the same slope (-1/2).  Also, if you plug in (-2,5) for x and y, it does pass through those coordinates.

Answer: Option A.

Step-by-step explanation:

The first step is to place the point of the compass in the vertex of the angle and draw an arc that connects both rays.

Then you put the compass in the points where the arc intersected the rays and draw two new arcs (with the radius of the compass constant)

The point where the two new arcs intersect will be the interior point.

Then the first step is: place the compass in the vertex of the angle.

The vertex is the common point to the two rays, in this case, we can see that the vertex is the point A.

Then you should place the compass in the point A, the correct option is option A.

Answer:

2.50$

Step-by-step explanation:

you would divide 35 and 14

35/14=2.5

2.5=$2.50

Answer:

7.6

Step-by-step explanation:

Whenever you see | | with any integer make sure to make it positive unless it's already positive and of course if its 0 .

The product 3/2 x 3/4 is greater than 3/8.

The correct answer is option (C) 3/2 x 3/4

"It is a number which is expressed as the ratio of two integers, where the denominator should not be equal to zero."

For given example,

We have been given a rational number 3/4 and the product of four rational numbers.

We need to find which product is greater than 3/4

3/4 = 0.75

Consider,

a) 1/2 x 3/4 = 3/8

⇒ 3/8 = 0.375

⇒ 0.375 < 0.75

b) 5/6 x 3/4 = 15/24

⇒ 15/24 = 0.625

⇒ 0.635 < 0.75

c) 3/2 x 3/4 = 9/8

⇒ 9/8 = 1.125

⇒ 1.125 > 0.75

⇒ (3/2 x 3/4 ) > 3/4

d) 2/5 x 3/4 = 3/10

⇒ 3/10 = 0.3

⇒ 0.3 < 0.75

Therefore, the product 3/2 x 3/4 is greater than 3/8.

The correct answer is option (C).

Learn more about rational numbers here:

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Answer:

62 degrees

Step-by-step explanation:

71 - 9

62

Hope this helps :)

Answer:

D

Step-by-step explanation:

2 x 1/4 is 1/2

2 x 2 is 4

4 + 1/2 is 4 1/2

Answer:

D, 4 1/2

Step-by-step explanation:

herp derp herp derp

Answer:

x = -3

Step-by-step explanation:

Step 1: Write out equation

6 - 4x = 6x - 8x + 12

Step 2: Combine like terms (x)

6 - 4x = -2x + 12

Step 3: Add 4x on both sides

6 = 2x + 12

Step 4: Subtract 12 on both sides

-6 = 2x

Step 5: Divide both sides by 2

-3 = x

Step 6: Rewrite

x = -3

Answer:

The answer is x= -3

Step-by-step explanation:

6 - 4x = 6x - 8x + 12

First, add like terms. (6x-8x)

6-4x=-2x+12

Then "add" 4x to both sides.

6=2x+12

Then subtract 12 from both sides.

-6=2x

The final step is to divide. Divide 2 from both.

Your answer is x= -3

I hope this helps!!!

Answer:

Infinite Solutions

Step-by-step explanation:

To solve for this problem, we want to isolate x on one side of the equation.

Apply the distributive property on the right side:

[tex]3x - x - 5 = 2x+4 -9[/tex]

Combine like terms:

[tex]2x - 5 = 2x - 5[/tex]

Woah, we have the exact same thing on both sides of the equation. This means that we have infinite solutions, aka any value of x will satisfy this equation.

Test it out! Any value of x, whether its 1, 5, or 10000 will satisfy the equation.

So this has infinite solutions.

Hope this helped!

Answer:

what?????

Step-by-step explanation:

Complementary angles are two angles that add up to 90 degrees

So, 2x + 3x = 90 we have to solve for x

5x = 90

Divide each side by 5

x = 18

Plug 18 into x for 3x and 2x

3x = 3(18) = 54

2x= 2(18) = 36

Answer:

The value of k is 24

Step-by-step explanation:

y = 24x

The equation for a direct variation is

y = kx

The constant of proportionality is k

y = 24x

The value of k is 24

Answer:

A

Step-by-step explanation:

When rounding, you look at the number to the right of what you are rounding to. If the number the right of the hundreth's place is 5 or more, you round the hundreth up. If the number next to the hundreth is 4 or less, the hundreth stays the same. So, you round up in answer choise A and get the right answer.

I hope this helps you :)

The number when rounded to its nearest hundredth gives 37.623 is

37.618.

Option A is the correct answer.

The place value of a number is given as:

Example:

1234.567

1 = thousand place value

2 = hundred place value

3 = tens place value

4 = ones place value

5 = tenths place value

6 = hundredths place value

7 = thousandths place value

We have,

Rounding to the nearest hundredth.

A.

37.618

1 is in the hundredth place value.

= 37.62

B.

37.627

2 is in the hundredth place value.

= 37.63

C.37.626

2 is in the hundredth place value.

= 37.63

D.

37.612​

1 is in the hundredth place value.

= 37.61

Thus,

When rounded to the nearest hundredth 37.618 gives 37.62.

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Answer: B is 180-35=145.

Step-by-step explanation:

Answer:

-17

Step-by-step explanation:

f(t)=-2t^2+ 1

f(-3)=-2*-3^2+1

f(-3)=-2*9+1

f(-3)=-18+1

f(-3)=-17

The value of the function f(t)=-2t²+ 1 for f(-3) will be - 17.We can find the value of f(-3) by putting -3 at the place of t

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range. In mathematics, functions serve as the fundamental building blocks for developing technology.

It is given that the function is,

f(t)=-2t²+ 1

We have to find the value of the function as t=-3.

We can find the value of f(-3) by putting -3 at the place of t and applying the arithmetic operation as,

f(t)=-2t²+ 1

f(-3)=-2(-3)²+1

f(-3)=-2(9)+1

f(-3)=-18+1

f(-3)= -17

Thus, the value of the function f(t)=-2t^2+ 1 for f(-3) will be -17. We can find the value of f(-3) by putting -3 in the place of t.

Learn more about the function here:

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Answer:

Calculating the Actual Distance using the Scale

If the scale is 1 : x, then multiply the map distance by x to calculate the actual distance.

Step-by-step explanation:

Answer:

x=-9

Step-by-step explanation:

-2x-13=-x-4

+x         +x

-x-13=-4

  +13  +13

-x=9

x=-9

5x-3x-2=13

2x-2=13

2x=15

x=7.5

Answer:

1: Angles in a triangle add up to 180°. The square represents a right angle (90°)

[tex]x=180-90-60=30[/tex]

2:

[tex]y=180-100-45=35[/tex]

3:

Angles on a straight line add up to 180°.

[tex]x=180-70=110[/tex]

4:

[tex]y=180-120=60[/tex]

Answer:

-11+x is the variable form of the sum of -11 and a number