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The sum of ages of Paula and her mother is 48.
Her mother is 12 years more than twice as old as Paula. Use a linear system to
determine the ages of Paula and her mother.

Answer:

47/9

Step-by-step explanation:

5*9 = 45 +2 = 47

Answer:

[tex]3\frac{1}{4}[/tex] inches

Step-by-step explanation:

Height of the tallest conifer = [tex]9\frac{1}{2}[/tex] inches

Height of the shortest conifer = 6 + measure of one segment on the number line

Measure of one segment on the number line = [tex]\frac{6\frac{1}{2}-6}{2}[/tex]

                                                                           = [tex]\frac{\frac{1}{2}}{2}[/tex]

                                                                           = [tex]\frac{1}{4}[/tex]

Therefore, height of the shortest conifer = 6 + [tex]\frac{1}{4}[/tex]

                                                                    = [tex]6\frac{1}{4}[/tex]

Difference in tallest and shortest conifer = [tex]9\frac{1}{2}- 6\frac{1}{4}[/tex]

                                                                    = (9 - 6) + [tex](\frac{1}{2}- \frac{1}{4})[/tex]

                                                                    = 3 + [tex]\frac{1}{4}[/tex]

                                                                    = [tex]3\frac{1}{4}[/tex] inches

Answer:

Step-by-step explanation:

Parallel lines have the same slope.

Point-slope equation for line of slope 3 that passes through (1,-2):

y+2 = 3(x-1)

Answer:

2/3

Step-by-step explanation:

When a line is parallel to another, it means that there are never going to be any solutions(they won't ever intersect each other.) To do so, the slope of the lines have to be the same. It doesn't matter what the y-intercept is.

So the slope of the second line is going to be the same as the first line: 2/3

Water is the Adjacent of this right triangle. 350 yards is the length of the Hypotenuse. We have given angle B, 40 degrees.

_________________________________________________________

According to SOH CAH TOA, we use CAH (cosineΘ = adjacent/hypotenuse).

cosine40 = x/350

[multiply both sides by 350]

350 · cosine40 = x

[put calculator in degree mode]

x ≈ 268 yards

So, the distance across the water from sailboat to the island is 268 yards.

_________________________________________________________

Let's use pythagorean theorem since we already know the adjacent and hypotenuse to find the opposite (opposite is also known as height).

a^2 + b^2 = c^2

a^2 + (268)^2 = (350)^2

a^2 + 71824 = 122500

a^2 = 122500 - 71824

a^2 = 50676

[square both sides]

[tex]\sqrt{a^2}[/tex] = [tex]\sqrt{50676}[/tex]

a = [tex]\sqrt{50676}[/tex]

a ≈ 225

So, the height, opposite, of the lighthouse is 225 yards.

_________________________________________________________

Answer:

Y = 50 degrees, X = 60 degrees

Step-by-step explanation:

Since we know that the sum of angles in a triangle is 180 degrees, we can find x easily. We already know that the other two angles are 50 and 70, which adds up to 120, and 180 - 120 is equal to 60 degrees, meaning that x is equal to 60 degrees. Next, to find the measure of y, we first know that the sum of angles on a line is equal to 180 degrees, and if we find the other angle on the line by subtracting 60 + 50 from 180, we can find y. 180 - (60 + 50) = 70 degrees, and since 70 + x + y = 180 and x = 60, we know that x = 180 - (70 + 60) = 50. Therefore, y is equal to 50 degrees.

Answer:

Step-by-step explanation:

Answer:

Part 1: It is not a valid conclusion to say that track and field sports are more popular than soccer based on the survey. The survey was taken at a track and field event so the people that were surveyed are probably biased.

Part 2: A better way of determining which sport is more popular is by counting how many people show up to each event and comparing the results.  

Answer:

the answer is .24

Step-by-step explanation:

when you multiply 0.1 x 2.4 it equals out to .24

0.1 x 2.4= .24

Answer:

1.) 1.12/10= 1 2/10= 1.2%       10*1.2%=12

2.) 8/10=0.80%                     10*0.80=8

3.)10/12=0.83%                     12*0.83=10    

%*whole

Answer:

gradient = 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope (gradient) and c the y- intercept )

Given

8y + 4x = 5 ( subtract 4x from both sides )

8y = - 4x + 5 ( divide the terms by 8 )

y = - [tex]\frac{1}{2}[/tex] x + [tex]\frac{5}{8}[/tex] ← in slope- intercept form

with gradient = - [tex]\frac{1}{2}[/tex]

Given a line with gradient m then the gradient of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2

2 is the gradient of a line that is perpendicular to 8y+4x=5​

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane

The slope of line can also be called ad gradient of a line.

The standard form of line or slope intercept form of a line is given by

y=mx+c

where m is the slope of line and c is the y intercept.

The given equation of line is  8y+4x=5​

We need to convert the equation of line to Slope intercept form

8y=5-4x

Divide both sides by 8

y=5/8-4/8x

y=-1/2x+5/8

So m is -1/2.

Two lines are said to be perpendicular if m₁m₂ =-1

if m₁=-1/2

then we need to calculate m₂

-1/2m₂=-1

m₂=2

Hence gradient of a line that is perpendicular to 8y+4x=5​ is 2.

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ2

Answer:

3

Step-by-step explanation:

105/7hrs

15/1hr

15/60min

0.25/per minute

0.25*12

= 3

Answer:

B

Step-by-step explanation:

it is a function but not a line

Answer:

b) a nonlinear function

Step-by-step explanation:

it's exponential so it's a nonlinear function.

i hope this is right. p.s. if it helps i really need brainliest :)

Answer:

254.34 ft^2

Step-by-step explanation:

The equation for area of a circle is π*r^2, where r is the radius of the circle. So we do 3.14*9^2 for the answer

Answer:

254.34 ft

Step-by-step explanation:

radius (9)

multiply it by itself (9x9)

so then you get 81

then the two radius squared (81) is multiplied by pi (3.14)

Answer:

The answer is " x = - 1 "

Step-by-step explanation:

[tex]9t^{2}[/tex] - 54t + 81 = 36t + 180

^ The you solve the equation

t = 11, t = - 1

^ and then verify the solution

t = - 11 ( False ), t = -1 ( True )

Answer = t = -1

Answer:

The key features needed to determine if these two linear functions intersect would be their y-intercept and their slopes. We need this information because it would allow us to graph these two linear functions, and if we can graph them, we can see if these lines intersect. 

Step-by-step explanation:

Took the "quiz"

(Please mark Brainliest)

Answer:

10.55

Step-by-step explanation:

Answer:

401.92

Step-by-step explanation:

The formula used the calculate the volume of a cylinder is

πr^2h

π= 3.14

H= 8

r= 4

Volume= 3.14 × 4^2 × 8

= 3.14 × 16×8

= 401.92

Hence the volume is 401.92

Answer:

20

Step-by-step explanation:

dekameter=10 meters

dekameter*2

20 meters

20/20=1

20 meter long pieces

Step-by-step explanation:

1. -6u= -29-7

-6u÷-6= -36÷-6

u= 6

2. 6m= -23-1

6m÷6= -24÷6

m=-4

3. 4d=37-5

4d÷4=32÷4

d=8

Answer:

4. -6u+7=-29

-6u=-29-7

-6u=-36

-6u=-36

(divide both sides by-6 )

-6u/-6=-36/-6

u=6.

5. 6m+1=-23

6m=-23-1

6m=-24

divide-24 by 6

m=-4

6. 5+4d=37

4d=37-5

4d=32

divide by 4

d=8

Answer:

64 degrees.

Step-by-step explanation:

We are given that angle QRP is 32 degrees.

We are also given that angle PRS is 84 degrees.

Add those two angles to get the measure of angle QRS.

measure of angle QRS= 116 degrees.

Same-side interior angles are supplementary

So,

116+ angle PQR= 180

subtract both sides by 116.

PQR=64

Therefore the measure of angle PQR is 64 degrees.

I hope this helps

Answer: 30%

Step-by-step explanation:

Answer:

i). 2    ii). 2

Step-by-step explanation:

i). 4p = 18 - 5(2)

4p = 18 - 10

4p = 8

p = 2

ii). 4(2) = 18 - 5q

8 = 18 - 5q

-10 = - 5q

q = 2

Answer:

11787.24

Step-by-step explanation: If it costs 982.27 each month, multiply that number times 12 to equal a full year to get your answer.

Answer: [tex]432\pi \text{ cubic centimeters}[/tex] or [tex]1356.48\text{cubic centimeters}[/tex]

Step-by-step explanation:

Volume of right circular cylinder = [tex]\pi r^2 h[/tex]

Given: Radius = 6 centimeters

Height = 12 centimeters

Then, the volume of this cylinder = [tex]\pi (6)^2 \times (12)= 432\pi \text{ cubic centimeters}[/tex]

Hence, the volume of this cylinder = [tex]432\pi \text{ cubic centimeters}[/tex]

At [tex]\pi=3.14[/tex]

The volume of this cylinder[tex]=432\times3.14=1356.48\text{cubic centimeters}[/tex]

Answer:

Step-by-step explanation:

We have the value of the hypotenuse and we are trying to find out the adjacent. This means we can use cos.

Cos (45) = x/10

10 * Cos (45) = 10 * (√2 / 2)

This should equal to 5√2

Answer:

i believe it's A bc 8 cm is too long to reach 4 cm