If a varies directly with b, write the constant of proportionality equation.
b = 2 and a = 10
options:
1. a=5b
2. k=5
3. a= 1/5b
4. b=5a

Answer:

Maria made more money

Answer:

$3.40 per card

Step-by-step explanation:

To find the unit rate, divide the total cost ($17) by the number of cards (5 cards):

 $17

--------------- = $3.40 per card

   5 cards

Answer: $3.4

Step-by-step explanation: If 5 cards cost $17

Divide 17 by 5 : 17/5

Your result will be 3.4

Meaning 1 card cost $3.4

Answer: [tex]\frac{1}{2}\ \text{of}\ 130> 20\%\ \text{of}\ 320[/tex]

Step-by-step explanation:

[tex]20\%\ \text{of}\ 320\ \text{is}\\\Rightarrow \frac{20}{100}\times 320=64\ \text{miles}[/tex]

[tex]\frac{1}{2}\ \text{of}\ 130\ \text{is} \\\Rightarrow \dfrac{130}{2}=65\ \text{miles}[/tex]

clearly,  [tex]\frac{1}{2}\ \text{of}\ 130> 20\%\ \text{of}\ 320[/tex]

Answer:

$6

Step-by-step explanation:

B- 3P+2C=$41

C-1P+2C=$29

since they both bought at least 1 popcorn and 2 candy you can just subtract 29 from 41. you get 12 which equals the other 2 popcorns that ben bought

12/2=6

since you need to find the price of 1 popcorn you have to divide 12 by 2

Answer:

B

Step-by-step explanation:

Area of a rectangle is length multiplied by width. So 2/3 times 1/2 which equals 1/3 or .33333 repeated

Answer:

B. 1/3.

Step-by-step explanation:

The area of a rectangle is represented by the following equation:

Area = width x height

In this case it would look like this:

[tex]Area = \frac{1}{2} * \frac{2}{3}[/tex]

Now, we solve:

[tex]Area = \frac{2}{6} \\Area = \frac{1}{3}[/tex]

Therefore, the correct answer is B. 1/3.

Hope this helps!!

- Kay :)

Answer:

it would be 5$ for ten and 0.5 for each orange

Step-by-step explanation:

Answer:

x = 5.26 m

Step-by-step explanation:

Given that,

The angle of inclination = 20°

The vertical height of the ramp, h = 1.8 m

We need to find the length of the ramp. Let it is x.

We can find it using trigonometry. So,

[tex]\sin\theta=\dfrac{P}{H}[/tex]

We have,

P = 1.8 m, H = x

[tex]\sin20=\dfrac{1.8}{x}\\\\x=\dfrac{1.8}{\sin20}\\\\x=5.26\ m[/tex]

So, the length of the ramp is 5.26 m.

Answer:

(3, 2 )

Step-by-step explanation:

Given the 2 equations

4x + y = 14 → (1)

5x + 2y = 19 → (2)

Multiplying (1) by - 2 and adding to (2) will eliminate the y- term

- 8x - 2y = - 28 → (3)

Add (2) and (3) term by term to eliminate y

- 3x + 0 = - 9

- 3x = - 9 ( divide both sides by - 3 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (1)

4(3) + y = 14

12 + y = 14 ( subtract 12 from both sides )

y = 2

solution is (3, 2 )

Step-by-step explanation:

[tex] \underline{ \underline{ \text{USING \: ELIMINATION \: METHOD}}}[/tex]

[tex] \underline{ \underline{ \text{ Solution}}} : [/tex]

Multiply equation ( i ) by 2 & Subtract from ( ii ). The equation ( i ) now becomes 8x +2y = 28 { 2 ( 4x + y ) = 2 × 14 }. Remember that while subtracting the sign of each term of equation ( i ) changes and now , it becomes -8x-2y = -28.

[tex] \text{5x + 2y = 19}[/tex]

[tex] \text{ - 8x - 2y = - 28}[/tex]

_____________________

[tex] \text{ - 3x = - 9}[/tex]

Solve for x :

⤑ [tex] \tt{x = \frac{ - 9}{ - 3}} [/tex]

⤑ [tex] \tt{x = 3}[/tex]

Now , substitute the value of x in equation ( ii ) :

⟼ [tex] \text{5 × \: 3 + 2y = 19}[/tex]

⟼ [tex] \text{15 + 2y = 19} [/tex]

⟼ [tex] \text{2y = 19 - 15}[/tex]

⟼ [tex] \text{2y = 4}[/tex]

⟼ [tex] \text{y = 2}[/tex]

[tex] \pink{ \boxed{ \boxed{ \tt{⤿ \: Our \: final \: answer : \boxed{ \boxed{ \tt{x = 3 \: and \: y = 4}}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

positive

Step-by-step explanation:

8÷8=1

..............

Answer:

8 ÷ 8 = 1

Step-by-step explanation:

1 Is positive

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Answer:

[tex]f(x)=(x+8)^{2}-110[/tex]

Step-by-step explanation:

Completing the square is a multi-step process that involved rewriting an equation such that it has a factored term, a coefficient, and a constant. First, group the equation, then add a term such that the grouped part of the equation can be simplified, then balance the equation, finally simplify and factor the equation.

[tex]f(x)=x^{2} +16x - 46\\[/tex]

Group;

[tex]f(x)=(x^{2}+16)-46[/tex]

Add in a term that makes the grouped part of the equation a perfect square, this can be done by dividing the linear term by 2, then balancing the equation;

[tex]f(x)=(x^{2}+16x+64)-46-64[/tex]

Simplify, factor;

[tex]f(x)=(x+8)^{2} - 110[/tex]

Answer:

a^n+a^n+1

2a^n+1

1(2a^n+1)

Answer: 11.5 feet

Step-by-step explanation:

We should note that for a right angles triangle, the square of the hypothenuse equals to the square of the opposite side and its adjacent. This can be expressed as:

Let the length of Fahims shadow be x

hypotenuse² = opposite² + adjacent ²

13² = 6² + x²

169 = 36 + x²

x² = 169 - 36

x² = 133

x =✓133

x = 11.53

= 11.5 feet to nearest tenth

Answer:

C 11.5

Step-by-step explanation:

Have a great day!

Answer:

7

Step-by-step explanation:

Answer:

The equation for the relationship is [tex]y = \frac{7}{2}\cdot x[/tex].

Step-by-step explanation:

Given that point [tex](x,y) = (6, 21)[/tex] is part of a direct relationship. That is:

[tex]y \propto x[/tex]

[tex]y = k\cdot x[/tex] (1)

Where [tex]k[/tex] is the proportionality constant.

If we know that [tex]x = 6[/tex] and [tex]y = 21[/tex], then the proportionality constant is:

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{21}{6}[/tex]

[tex]k = \frac{7}{2}[/tex]

Lastly, the equation for the relationship is [tex]y = \frac{7}{2}\cdot x[/tex].

Answer:

Yes

Step-by-step explanation:

g(x) = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{1}{4}[/tex]

y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{1}{4}[/tex] ....... (1)

(1) × 4

4y = - x + 1

x = - 4y + 1

y = - 4x + 1

f(x) = - 4x + 1

∴ f(x) and g(x) are inverses

Answer:

sorry where is figure.

Step-by-step explanation:

area of triangle ABE=area of triangle BE3

Answer:

17

Step-by-step explanation:

Answer:

a=17

Step-by-step explanation:

When an equation says +(-) like this one, all you have to do is subtract :)

Knowing that if you rewrite this you get a= 21-4, which is 17!

I hope this helps, and have a great day! <3 :D

Answer:

help me pls

Step-by-step explanation:

Answer:

5(a-b)=3(a+b)

5a-5b=3a+3b

2a-2b=0

2a=2b

a=b

a:b=1

Step-by-step explanation:

Answer:

abcd

Step-by-step explanation:

Based on the graph given above, the hours you will have to be awake when your computer has 0% charge is: 4.5 hours.

Analyzing the graph given in the image above, where c represents the amount of charge you have left on your computer, and h represents the number of hours after you have been awake, the graph shows the following:

Therefore, the number of hours you will have been awake for your computer to have no charge left is: 4.5 hours.

Learn more about graph on:

https://brainly.com/question/25184007

#SPJ1

Answer:

Step-by-step explanation:

y=mx+b

m=(y2-y1)/((x2-x1)=(2-4)/(3- -1)=-2/4=-.5

y=-.5(3)+b, using point (3,2)

2=-1.5+b

b=3.5

y= -.5x+3.5

Answer:

5.2 Minutes, or 5 minutes and 12 seconds

Step-by-step explanation:

You can solve this problem by working backward.  Since our number gets smaller by a 1/10 or 0.1, in order to work backward we must multiply 3.60 by 10/9, since one tenth has been taken away already.  When we do this, we get 4.0.  When we add 1.2 minutes to that, we get a final answer of 5.2 minutes, or 5 minutes and 12 seconds.

Answer:

$240

Step-by-step explanation:

40*6=240

Answer:

240

Step-by-step explanation:

1 year-> 12 months

1/2 of 12 - > 6

6x 40=240

Answer:

1 hour or 60 minutes

Answer:

photo albums = x

pictures =75( seven times of albums +5)

so

seven times of x is 7x and +5

7x +5 = 75

7x= 75-5

7x = 70

x=70÷7

x =10

x = 10 = photo albums

Answer: side CD = CY

Step-by-step explanation:

They are asking for ASA = Angle, Side, Angle. And they already gave you the two angles so they are asking for the side