One equation in a system of equations is y=2x+4. Which of the following would be the second equation so that the system has (1,6) as its only solution

1. y=-2(x+2)
2. y=2x+8
3. y=5x+1
4. y=4x-7

Answer:

126

Step-by-step explanation:

multuply the base times the hight in which case the base is 21 and the hight is 12 then devide that answer by 2. so it should look like this 21 * 12 all over 2

Answer:

The correct statement is D

Answer:

y = 5x + 18.......[1]

y = -6x - 15......[2]

equating equation 1&2 we get

5x+18=-6x-15

5x+6x=-15-18

11x=-33

x=-33/11=-3

x=-3

again

y=5×-3+18=-15+18=3

so,x=-3,y=3

2y=33

y=16.5

16.5=-6x-15

16.5+15=-6x

31.5=-6x

x=-5.25

there the number of y and x are 16.5 and -5.25

Answer:

Yes

Step-by-step explanation:

Yes, equation 3(-15) is basically saying that you are spending -15, 3 times and that those two numbers are being multiplied together which would give you the total cost of all the shirts you are buying. That being said, no purchase would be a negative value, this is most likely an error made when writing the question but the cost of each individual shirt should be $15 and not -$15. Therefore making the actual equation 3(15). We can even equal this to the variable C which would represent the total cost of the purchase and make it more of a real equation.

C = 3(15)

Answer:

Solution is (2, -1)

Step-by-step explanation:

The lines cross  at the point where x = 2 and y = -1.

Answer:

r = 0.053 or 5.3%

Step-by-step explanation:

Formula:

I = Prt

Given:

I = 106

P = 10000

t = 73/365

Work:

I = Prt

r = I/(Pt)

r = 106/(10000 * 73/365)

r = 106/2000

r = 0.053

Answer:

J Compound interest; $298.65

Step-by-step explanation:

Interest compounding pays interest on the interest. For the same annual rate, any amount of compounding will earn more interest.

For short time periods, the effect of compounding is not great. In general, it will be a fraction of the equivalent simple interest rate. Here, the effective multiplier for annual compounding is ...

  1.051^4 = 1.22024337

and the effective multiplier for simple interest is ...

  1 +0.051·4 = 1.204

Then the difference in interest rate multiplier for the 4-year period is ...

  1.22024337 -1.204 = 0.01614337

That fraction of the $18500 principal is $298.65.

Compound interest earns $298.65 more than simple interest in this scenario.

Hope this helps, have an amazing day!

Answer:

6

Step-by-step explanation:

n - number

9n + 4 = 58

9n = 54

n = 54/9 = 6

Answer:

The person above me is right, it is 0.3 or 1/3

Step-by-step explanation:

The probability that a student selected at random plays a musical instrument and tried out for the class play is 25%.

To find the probability that a student selected at random plays a musical instrument and tried out for the class play, we need to multiply the probabilities of each event happening.

Given:

Probability of a student playing a musical instrument = 1/3

Probability of a student who plays an instrument trying out for the class play = 3/4

To find the combined probability, we multiply these probabilities:

Probability = (1/3) * (3/4)

Simplifying the multiplication:

Probability = 1/4

Converting the fraction to a percentage:

Probability = 1/4 * 100% = 25%

Therefore, the probability that a student selected at random plays a musical instrument and tried out for the class play is 25%.

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Answer:

x = 240/9

Step-by-step explanation:

Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal

Thus, we have it that;

GH/IH = JL/KL

x/20 = 12/9

9 * x = 20 * 12

x = (20 * 12)/9

x = 240/9

1. C

2. D

3. A

4. A

5. C

6. A

7. Do yourself

Answer:

(2,9)

Step-by-step explanation:

we start at the point (2,3) and moving up 6 units

when we move up or down, we are changing the value of the y-coordinate. Since we are moving up, the value of the y-coordinate increases (makes sense, if you are thinking about a graph. The further you go up, the larger the y value becomes).  

However, the x-coordinate will stay the same (no instructions on moving left or right {that changes the x value}). That means the y value will increase by 6 while the x value will stay the same.

so add 6 to 3 and get 9, and add nothing to 2

therefore, the point we end on will be (2,9)

if you would like to see a graph for clarity/visualization, please see below

Answer:

176°

Step-by-step explanation:

inscribed angle= 88°

intercepted Arc= JML

so, 88 =1/2 × mJML

   2 × 88 =1/2 × mJML

   176° = mJML

The measure of arc JML is 176°.

Inscribed Angle Theorem states that the angle inscribed in a circle has a measure of half of the central angle which forms the same arc.

Given that,

∠JKL is the inscribed angle and ∠JNL is the central angle.

Measure of central angle JNL is the measure of the arc JML.

m ∠JKL = 88°

m ∠JNL = 2 × 88° = 176°

Measure of arc JML = 176°

Hence the measure of the arc JML is 176°.

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your computer has virus

Answer:

O V=3(10XB)(12)

Step-by-step explanation:

Answer:

O V=3(10XB)(12)

Step-by-step explanation:

thats is the only equation

Answer:

4090 ml - 4.9L

1.4km - 4901m

Step-by-step explanation:

A liter is made up of 1000 ml so 4.9 l is equvilant to 4,900 ml.

A kilometre same as litre is made up of a 1000 m. So 1.4 km is 1400m

However, ml and l is a measurement of volume while m and km is a measurement of distance.

Answer:

0.0000000000000000000000000000

Step-by-step explanation:

Complete question :

A chef used a diffrent amounts of milk when making pancakes 1/2 1/4 1/4 1/2 1/2 3/4 1/2 1/2 3/4 1/2 1/4 3/4 1/2 1/2.

What is the average amount of milk used for n order of pancake?

Answer:

1/2

Step-by-step explanation:

Given the data:

1/2 1/4 1/4 1/2 1/2 3/4 1/2 1/2 3/4 1/2 1/4 3/4 1/2 1/2.

The average = mean

Sum of all values in the data / size of data

Sum = (1/2 + 1/4 + 1/4 + 1/2 + 1/2 + 3/4 + 1/2 + 1/2 + 3/4 + 1/2 + 1/4 + 3/4 + 1/2 + 1/2) = 7

Size of data = 14

Hence, the average amount of milk added per order of pancake equals :

7 / 14

= 1/2

= 1/2 cups of milk per order of pancake

Answer:

108°

I hope it's helps you

Answer:

[tex]2x + 3x = 5x = 180 \\ x = \frac{180}{5} = 36 \\ rqs = 36 \times 3 = 108[/tex]

Answer:

37 inch

Step-by-step explanation:

Area of ∆ = ½ height x base

210 = ½ x 35 x base

12 = base

Using Pythagoras theorem,

=> hypotenuse = √height² + base²

=> hypotenuse = √35² + 12² = 37

Answer:

6x ≥ 8x - 4

Step-by-step explanation:

ABF=BCH

so if abc is 108, then bch would also be 108

BCH=108

Answer:

8

Step-by-step explanation:

V=whl=2·1·4=8

Volume = width times length times height = 2 x 1 x 4 =8

I hope this helps!!

Answer:

A) $2,344.53

B) $2,340.36

C) Based on my answer in A and B, the Option i would choose is Option A. This is because the amount i would receive after 2 years in Option A is higher than that of Option B

Step-by-step explanation:

We solve for A and B using Compound Interest formula

A). You plan to invest $1978 in an account with two different options. Option 1 earns 8.5% annually, with interest to be compounded continuously. How much money would you have in the account after 2 years?

First, convert R as a percent to r as a decimal

r = R/100

r = 8.5/100

r = 0.085 rate per year,

Then solve the equation for A

The formula is given as

A = Pe^rt

A = 1,978.00(2.71828)(0.085)(2)

A = $2,344.53

B). You plan to invest $1978 in an account with two different options. Option 2 earns 8.5% annually, with interest to be compounded quarterly. How much money would you have in the account after 2 years?

First, convert R as a percent to r as a decimal

r = R/100

r = 8.5/100

r = 0.085 rate per year,

Then solve the equation for A

The formula is given as

A = P(1 + r/n)^nt

P = Principal = $1978

r = 0.085

n = compounded quarterly = 4

A = 1,978.00(1 + 0.085/4)(4)(2)

A = 1,978.00(1 + 0.02125)(8)

A = $2,340.36

C). You plan to invest $1978 in an account with two different options. Based on your two previous answers, which option would you choose and why?

Based on my answer in A and B, the Option i would choose is Option A. This is because the amount i would receive after 2 years in Option A is higher than that of Option B

Step-by-step explanation:

the diagram is not clear

Answer:

What's your question?

Step-by-step explanation:

Answer:

Where is the question?

Answer:

Step-by-step explanation:

B + 2C

= w + 10 + 2(-w - 1)

= w + 10 -2w - 2

= -w + 8