y = -5x+1
y = 3x – 2
Is (3.8) a solution of the system?

Answer:

[tex]\boxed {\boxed {\sf D. \ x=20}}[/tex]

Step-by-step explanation:

If line m and line r are parallel, the two angles must be congruent, because they are alternate interior angles. Notice how the 2 lines and the transversal form a backwards "Z" and the angles are in the inner corners.

So, if the angles are congruent, we can set them equal to each other.

[tex]7x-115=3x-35[/tex]  

Now, solve for x by isolating the variable. First, move all the constants to one side and the terms with variables to another.

115 is being subtracted and the inverse of subtraction is addition. Add 115 to both sides.

[tex]7x-115+115=3x-35+115\\7x= 3x+(-35+115) \\7x=3x+80[/tex]

3x is being added and the inverse of addition is subtraction. Subtract 3x from both sides.

[tex]7x-3x=3x-3x+80 \\4x=80[/tex]

x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.

[tex]4x/4=80/4\\x=20[/tex]

If the lines are parallel, then x=20 so the angles are congruent.

Answer:

The correct option is (C). 84.

Step-by-step explanation:

Answer:

1:6 = 7:42

Step-by-step explanation:

Im confused could you explain what the questions are better.

Answer:

x2+7

Step-by-step explanation:

Answer: 71.43 i think

Step-by-step explanation:

Answer:

Answer is A

Step-by-step explanation:

Use the the pythagorean theorem

x=√12²+5²

x=13

Answer:

13

Step-by-step explanation:

As the given triangle is right angled, we can use Pythagoras theorem to find hypotenuse

Base² + Perpendicular² = Hypotenuse²

PQ² + RP² = RQ²

(12)² + (5)² = x²

144 + 25 = x²

169 = x²

x = √169

x = 13.

Answer: 12 times

Step-by-step explanation:

Answer:

a 3,5,5,11

b 3,3,37,3

- 2,269

d 113, as it is a prime factor

Answer:it’s c

Step-by-step explanation:

Answer:

1. 1/3 pi r^2 h

2. pi r^2 h

3. 1/3 B h

4. lwh

5. Bh

Match the shape with the correct formula for finding the volume :-

SHAPES :-

FORMULAE :-

Answer:

6

Step-by-step explanation:

The total of all the angles must be 180, since there is a straight line. We already know the 40 degree angle and the 90 degree angle, meaning that the remaining angle must be equal to 180 - 90 - 40, which is 50 degrees. Therefore, 50 = 7k + 8. 7k = 50-8 = 42, and k = 6.

Answer:

Yes

Step-by-step explanation:

Answer:

when using elimination you "eliminate one variable by adding the equations", so basically in this equation 2y-2y cancel out when you add the equations together. so, you'll find x first. once you find the value of x, then you plug x into one of the equations to find the ordered pair solution, which happens to be (-1,0) in this solution.

Step-by-step explanation:

i hope this helps :)

Answer:

(0.5848 ; 0.6552)

We are confident that about 58% to 66% of sea foods in the country are Mislabelled.

No, criticism isnt valid and generalization can be made once the assumptions for constructing a confidence interval is met.

Step-by-step explanation:

Sample size, n = 51

p = 0.62

1 - p = 1 - 0.62 = 0.38

n = 515

Confidence level = 90% = Zcritical at 90% = 1.645

Confidence interval = (p ± margin of error)

Margin of Error = Zcritical * sqrt[(p(1-p))/n]

Margin of Error = 1.645 * sqrt[(0.62(0.38))/515]

Margin of Error = 1.645 * 0.0214

Margin of Error = 0.035203

Lower boundary = (0.62 - 0.035203) = 0.584797

Upper boundary = (0.62 + 0.035203) = 0.655203

(0.5848 ; 0.6552)

We are confident that about 58% to 66% of sea foods in the country are Mislabelled.

No, criticism isnt valid and generalization can be made once the assumptions for constructing a confidence interval is met.

Answer:

Wegman's, roughly 3 cents

Step-by-step explanation:

Divide the price by the number of paper towels in the pack to get the unit price.

$15.72/12= $1.31

$13.35/10= $1.335, round since it's money, $1.34

$1.34-$1.31= $0.03 or 3 cents

Wegmans has the better buy, as their unit price is lower.

The difference in unit prices between the two stores is $0.03 per paper towel.

To determine which store has the better buy, we need to compare the unit prices of paper towels at both Wegmans and Tops.

The unit price is the cost per paper towel.

For Wegmans:

Cost of 12 pack of paper towels = $15.72

Number of paper towels in the pack = 12

Unit price at Wegmans = Total cost / Number of paper towels

Unit price at Wegmans = $15.72 / 12 = $1.31 per paper towel

For Tops:

Cost of 10 pack of paper towels = $13.35

Number of paper towels in the pack = 10

Unit price at Tops = Total cost / Number of paper towels

Unit price at Tops = $13.35 / 10 = $1.34 per paper towel

Now, we compare the unit prices:

At Wegmans, the unit price is $1.31 per paper towel.

At Tops, the unit price is $1.34 per paper towel.

The store with the lower unit price has the better buy.

In this case, Wegmans has the better buy, as their unit price is lower.

To find the difference in unit prices:

Difference in unit prices = Unit price at Tops - Unit price at Wegmans

Difference in unit prices = $1.34 - $1.31 = $0.03 per paper towel

So, the difference in unit prices between the two stores is $0.03 per paper towel.

To learn more on division click:

brainly.com/question/21416852

#SPJ6

Answer:

27+9=36

Step-by-step explanation:

Hope this helps!

Answer:

1. 50 km/h

2. 900 km/h

3. 3 hours

Step-by-step explanation:

1. The distance the car travels, Δd = 300 km

For how long it takes the car to travel the 300 km, Δt = 6 hours

Average speed, [tex]\overline v[/tex], is given as follows;

[tex]\overline v = \dfrac{The \ total \ distance }{The \ total \ time \ it \ takes } = \dfrac{\Delta d}{\Delta t}[/tex],

[tex]\therefore \overline v = \dfrac{300 \ km}{6 \ hours} = 50 \ \dfrac{km}{hour}[/tex]

The average speed of the car, [tex]\overline v[/tex] = 50 km/h

2. The distance the jet plane flies, d = 8,100 km

For how long it takes the the jet plane to fly the 8,100 km, t = 9 hours

The speed, v, of the jet plane is given as follows;

[tex]Speed, \ v = \dfrac{Distance}{Time} = \dfrac{d}{t}[/tex]

[tex]v = \dfrac{The\ distance \ the \ jet plane \ flies}{The \ time \ it \ takes \ to \ fly \ thart \ distance } = \dfrac{d}{t }[/tex],

[tex]\therefore v = \dfrac{8,100 \ km}{9 \ hours} = 900 \ \dfrac{km}{hour}[/tex]

The speed of the jet plane, v = 900 km/h

3. The speed of the storm, v = 20 km/h

The distance of the storm from the house, d = 60 km

The time 't' it takes the storm to reach the house is given as follows;

[tex]Speed, \ v = \dfrac{d}{t}[/tex]

Therefore, by cross multiplying and dividing by 'v', we get;

[tex]Time, \ t = \dfrac{d}{v}[/tex]

Plugging in the known values of 'd' and 'v' gives;

[tex]Time, \ t = \dfrac{60 \ km}{20 \ \dfrac{km}{hour} } = 3 \ km \times \dfrac{hour}{km} = 3 \ hours[/tex]

The time it takes the storm to reach the house, t = 3 hours.

Answer:

-1?

Step-by-step explanation:

Answer: 1.57 miles

Step-by-step explananation

0.88 - 0.60 = 0.22

0.22/ 0.14= 1.57

Answer:

35

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Answer:

x=15

Step-by-step explanation:

30°=5

60°=10

SO right angle 90°=15

the length and width plss

Area of the sheet when 2 in[tex] \sf ^2 [/tex] hasn't been cut from each corner of the sheet :-

→ Area = Length × Breadth

→ Area = ( 8.5 × 11 ) in[tex] \sf ^2 [/tex]

→ Area = 93.5 in[tex] \sf ^2 [/tex]

Area of the part cut from it :

→ ( 4 × 2 ) in[tex] \sf ^2 [/tex]

→ 8 in[tex] \sf ^2 [/tex]

Remaining area :

→ Remaining area = 93.5 in[tex] \sf ^2 [/tex] - 8 in[tex] \sf ^2 [/tex]

Therefore,

Answer:

x = 2

Step-by-step explanation:

the radius is 5

both triangles are congruent because of the SAS theorem.

x = 2 because corresponding parts of congruent tringles are congruent.

Answer:

c = 88

Step-by-step explanation:

c = 180 - a - b

c = 180 - 43 - 49

c = 137 - 49

c = 88

Answer:

c= 88

Step-by-step explanation:

What you want to do is take (a) which it says is 43 and (b) which it says is 49 and plug them into the equation. Here it says c = 180 - a - b so what you would do is take c=180-43-49 or c=88.

Hopefully that helps ;)

A quadratic equation is given to us. And we need to plot its graph . Firstly we will make a table . For that substitute different values of x to get different values of y . For graph refer to attachment.

• Here's the table .

[tex]\boxed{\begin{array}{c|c} \underline{\red{\bf{ x}}}&\underline{\red{\bf y}}\\\\ \sf 1 &\sf 0 \\\\\sf 0 & \sf 1 \\\\\sf 2 &\sf 1 \\\\\sf -2 &\sf 9 \end{array}}[/tex]

Answer:

D)222 cm²

Step-by-step explanation:

(4)(3)+15(4+5+5)=222cm²

hope it helps

have a great day :)