Rates & proportional relationships: Quiz 1
Which equation has a constant of proportionality
equal to 10?
Choose 1 answer:
2
y = х
20
30
y = -
3
©
12
y = -
2
5
Y= T

Answer:

Apples = 11, Apricots = 4

Step-by-step explanation:

Apple= 7 + Apricots

15 = Apple+ Apricot

15= 7 + Apricots + Apricots

15 = 7 +2Apricots

8 = 2 Apricots

4= 1 Apricot

Apple = 7 + 4 = 11

Answer:

Step-by-step explanation:

We know that

Considering the above we have:

Substitute the given values and solve for x:

Answer:

y=2x+9

Step-by-step explanation:

y-y(0)=m(x-x(0))

y-1=2(x+4)

Answer:

y = -2/5x - 3/5

Step-by-step explanation:

2x + 5y = -8

5y = -2x - 8

y = -2/5x - 8/5

y = -2/5x + b

-3 = -2/5(6) + b

-3 = -12/5 + b

-3/5

Answer:

60

Step-by-step explanation:

90x + 270= 5670

90x=5670-270

x=5400÷90

x=60

Answer:

x = 60

Step-by-step explanation:

1) 100x - 10x + 270 = 5670

2) 100(60) - 10(60) + 270 = 5670

3) 6000 - 600 + 270 = 5670

4) 5400 + 270 = 5670

5) 5670 = 5670

All I really did was input random numbers for the value of "x", then add 270 at the end of an equation. If that method works for me, it should work for everyone, including you.

Hope this helped buddy!

We are finding slope:

change in y / change in x

277 - 205 / 2007 - 1997

72 / 10

7.2

The single transformation that took place from their starting position to their final destination is (x, y) ⇒ (x + 7, y)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Translation is the movement of a point either up, down, left or right in the coordinate plane.

Hikers walk 3 miles east and then 2 miles north and take a water break. Hence:

(x, y) ⇒ (x + 3, y + 2)

They continue hiking 4 miles east and a final 2 miles south to their destination:

(x, y) ⇒ (x + 3 + 4, y + 2 - 2) ⇒ (x + 7, y)

The single transformation that took place from their starting position to their final destination is (x, y) ⇒ (x + 7, y)

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Answer:

I don't think so

Step-by-step explanation:

The studio earns $3.40 on commision because thats 40% of $8.50

The theater earns $5.10 because that would be the rest of the money

Answer:

216

Step-by-step explanation:

[tex] \frac{2}{9} x = 48 \\ x = 48 \times \frac{9}{2} \\ x = 216[/tex]

Answer:

3.92

Step-by-step explanation:

Answer:

either c or d

Step-by-step explanation:

The absolute value expression must be isolated on one side of the inequality before solving. either and or...OR  

d!

john (y) is (2.5) times as big as his brother sam (x)

hope this helps

Answer:

y=62 degrees

x=160 degrees

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

Step 1: Build the equation.

Step 2: Simplify.

Step 3: Multiply both sides by 25/16.

Therefore, the missing number is 75 to complete the equation 75% of 64 = 48.

Answer:

LOLLL

Step-by-step explanation:

Answer:

(x³-6)/(x+2) = x²-2x+4 - 14/(x+2)

Step-by-step explanation:

Answer:

0.5 miles

Step-by-step explanation:

P(1,3)   A(6,6)   B(7,1)

PA = √(6-1)²+(6-3)² = √34 = 5.83

PB = √(7-1)² + (1-3)² = √40 = 6.32

PB-PA = 6.32 - 5.83 = 0.49 ≈ 0.5

Answer:

I think its 6.64575131

Step-by-step explanation:

Answer:

238

Step-by-step explanation:

the quotient simply means the result of the division. when you divide 952 by 4, you get 238

Answer:

its sooo far

Step-by-step explanation:

aka i cant read

Answer:

$1,624.29

Step-by-step explanation:

The equation here is A = P + I.

A is the total, P is the principal (the amount you start out with so 1,500), and I is the interest (the quarterly interest in total is $124.29. 0.04 rate per year compounded four times per year over two years)

1,500 + 124.29 = $1,624.29

The balance in two years will be $1624.28.

What is Simple interest?

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Given that;

Principal amount = $1500

Rate = 4% = 0.04

Time = 1/4 years

Now,

We know that;

The total amount after 2 years is,

⇒ [tex]A = P (1 + rt)^4^n[/tex]

Here, n = 2 years

Substitute all the values, we get;

⇒ [tex]A = P (1 + rt)^4^n[/tex]

⇒ A = 1500 (1 + 0.04/4)⁸

⇒ A = 1500 (1 + 0.01)⁸

⇒ A = 1500 (1.01)⁸

⇒ A = 1624.28

Thus, The balance in two years will be $1624.28.

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Answer:

Yes ofcourse

Step-by-step explanation:

Why not.....^_^

Step-by-step explanation:

2).

Given that 1/(7+5√2)

We know that

The Rationalising factor of a+√b is a-√b

The denominator = 7+5√2

The Rationalising factor of 7+5√2 is 7-5√2

On Rationalising the denominator then

=> [1/(7+5√2)]×[ (7-5√2)/(7-5√2)]

=> [1×(7-5√2)]/(7+5√2)(7-5√2)]

=> (7-5√2)/[(7+5√2)(7-5√2)]

=> (7-5√2)/[7²-(5√2)²]

Since , (a+b)(a-b) = a²-b²

Where , a = 7 and b = 5√2

=> (7-5√2)/(49-50)

=> (7-5√2)/(-1)

=> -7+5√2

=> 5√2-7

3).

Given that (x-2)³

This is in the form of (a-b)³

Where, a = x and b = 2

We know that

(a-b)³ = a³-3a²b+3ab²-b³

=> (x-2)³ = x³-3(x²)(2)+3(x)(2)²-2³

=> (x-2)³ = x³-6x²+12x-8

The coefficient of x² is -6

Answer:

answer is a 14 okk 14 is a correct answer

Based on the number of days that Maggie swam and the distance swam everyday, Maggie swam 13.16km

Maggie swam 940 meters each day. She did this for two weeks. The total distance she swam is:

= 940 x 2 x 7 days a week

= 13,160 meters

A meter is 0.001km so 13,160 meters in kilometers would be:

= Number of meters x Conversion factor

= 13,160 x 0.001

= 13.16 km

In conclusion, Maggie swam 13.16 km.

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Answer:

4

Step-by-step explanation:

Answer:

i think its the first one i hope this helps

Step-by-step explanation:

Answer:

∠ PQR = 150°

Step-by-step explanation:

∠ PQR = ∠ PQS + ∠ SQR , substitute values

12x - 6 = 16 + 9x + 17

12x - 6 = 9x + 33 ( subtract 9x from both sides )

3x - 6 = 33 ( add 6 to both sides )

3x = 39 ( divide both sides by 3 )

x = 13

Then

∠ PQR = 12x - 6 = 12(13) - 6 = 156 - 6 = 150°

Answer:

m<PQR = 150°

Step-by-step explanation:

<PQR = (12x-6)°

<SQR = (9x+17)°

<PQS = 16°

find m<PQR.

since <SQR + <PQS = <PQR,

then (9x+17)° + 16° = (12x-6)°

combine like terms;

9x + 17 + 16

9x + 33 = 12x - 6

subtract 33 from both sides;

9x = 12x - 39

subtract 12x from both sides;

-3x = -39

divide by -3;

x = 13, then input x into the equation for m<PQR;

m<PQR = (12x-6)°,

(12(13)x - 6)°

(156 - 6)°

Answer: 150°

Answer:  4) Not binomial: there are more than two outcomes for each trial.

Explanation:

There are 6 outcomes and they are: {1,2,3,4,5,6} which are the labels on a standard 6-sided die. A binomial distribution only concerns itself with things where we have 2 outcomes. For example, flipping a coin to have it land on heads or tails, would be considered a binomial experiment.

Answer:

I believe it's 9.

Step-by-step explanation:

Have a good day/night