4. A worker uses 450 inches of steel wire to make 300 springs of the same size. At this rate how many inches of steel wire are needed to make 1 spring?

Answer:

y=3/2x-7

Step-by-step explanation:

the equation of the line for slope-intercept form is y=mx+b, where  m is the slope and b is the y intercept.

we are given two points: (4,-1) and (8,5)

the equation for slope is (y2-y1)/(x2-x1)

label the points:

x1=4

y1=-1

x2=8

y2=5

now substitute into the equation:

m=(5--1)/(8-4)

m=6/4

m=3/2

the slope of the line is 3/2

here is our equation so far:

y=3/2x+b

we need to find b

since the equation will pass through the points, we can substitute either one into the equation to find b

let's use (4,-1) as an example

substitute into the equation

-1=3/2(4)+b

-1=6+b

-7=b

the y intercept is -7

so the equation is y=3/2x-7

hope this helps!

Answer:

Bob is at the top, so he starts at step 9.

Sue is at the bottom, so she is at the step 0 (this is the floor, before stepping on step 1)

Sue climbs from one step on one step.

Then she if she climbs n times, she will be at the step number:

S(n) = 0 + 1*n

And Bob goes down by 2 steps each time, then after he goes down n times, his position will be:

B(n) = 9 - 2*n

We want to see when they meet, then we need to solve:

S(n) = B(n)

1*n = 9 - 2*n

1*n + 2*n = 9

3*n = 9

n = 9/3 = 3

n = 3.

This means that they meet a the step:

S(3) = 3*1 = 3

B(3) = 9 - 2*3 = 9 - 6 = 3

They meet at the third steep.

Answer: 72 degrees each angle

Step-by-step explanation:

A pentagon has 5 sides and all interior angles = 360 degrees

360 degrees divide by 5 = 72 degrees

a) 360 degrees

b) 1 interior angle = 72 degrees

Answer:

y=4,000x+50,000

Step-by-step explanation:

Where y = total salary

x = number of years worked

The relationship between salary and the number of years working at the company is 50000 + 4000x

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Gabriella was offered a job after college earning a salary of $50,000.

She will get a raise of $4,000 after each year working for the company.

let the number of years worked be x.

Then, relationship between salary and the number of years working at the company is 50000 + 4000x

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Answer:

6

Step-by-step explanation:

Using the similarity theorem f the triangle

(4+6)/x+9 = 4/x

10/x+9 = 4/x

Cross multiply

10x =4(x+9)

10x = 4x+36

10x-4x = 36

6x = 36

x = 6

Hence the value of x is 6

Answer:

6.25inch=15.625cm

Step-by-step explanation:

1inch=2.5cm

6.25*2.5=15.625cm

Answer:

4

Step-by-step explanation:

Answer:

y=-2x-8

Step-by-step explanation:

-2-4/-3-(-6)=-6/3=-2

y-4=-2(x-(-6))

y-4=-2(x+6)

y-4=-2x-12

y=-2x-12=4

y=-2x-8

Answer:

B 1 1/2 pts

4 fluid ounces = 0.25 pints

24 fluid ounces = 6 pt

Answer:

4.5 I think

Step-by-step explanation:

[tex]8x + 1 > - 31 \\ 8x > - 1 - 31 \\ 8x > - 32 \\ x > \frac{ - 32}{8} \\ x > - 4[/tex]

Answer:

6 centimeters

Step-by-step explanation:

60 millimeters

10 millimeters = 1 centimeter

How long is the picture in centimeters

______________________________

We know the scale of millimeters to centimeter which is when there are 10 millimeters, 1 centimeter is made. Now we're looking for 60 millimeters, let's see how many times it takes 10 to get to 60.

10 * 6 = 60

So you have to multiply by 6 to find you answer :

1 centimeter * 6

6 centimeters

Answer:

B (1/6)

Step-by-step explanation:

The cards she draws doesn't affect what number the dice lands on.  1 every 6 times on average the dice lands on 6 so there is a 1/6 probability represented by B.

Answer:

Step-by-step explanation:

Chelsea is making a kite in the shape of a triangle. To determine if the triangle is a right triangle, Chelsea completed the following steps.

Step 1:

Find the side lengths of the triangle: 30 inches, 24 inches, 18 inches.

Step 2:

Substitute the values into the Pythagorean theorem: 18 squared + 24 squared = 30 squared.

Step 3:

Combine like terms: (18 + 24) squared = 30 squared.

Step 4:

Evaluate each side: 1764 not-equals 900.

Chelsea says the triangle is not a right triangle. Which best describes the accuracy of her explanation?

The triangle is actually a right triangle. In step 2, Chelsea incorrectly substituted the values into the Pythagorean theorem.

The triangle is not a right triangle, but in step 2 Chelsea incorrectly substituted the values into the Pythagorean theorem.

The triangle is actually a right triangle. In step 3, Chelsea incorrectly rewrote the expression on the left side of the equation.

The triangle is not a right triangle, but in step 3, Chelsea incorrectly rewrote the expression on the left side of the equation.

Answer:

The error is;

B. Kimberly did not find the inverse sine of the value she calculated

Step-by-step explanation:

The given parameters of the triangle ΔLMN are;

[tex]\overline {LN}[/tex] = 16

[tex]\overline {NM}[/tex] = 10

∠L = 33°

By sine rule, we have;

[tex]\dfrac{sin \ M}{16} = \dfrac{sin \ L}{10} = \dfrac{sin \ N}{\overline {LM}}[/tex]

Given that ∠L = 33°, we have;

[tex]\dfrac{sin \ M}{16} = \dfrac{sin \ 33^{\circ}}{10}[/tex]

Therefore, we have;

[tex]sin \ M = 16 \times \dfrac{sin \ 33^{\circ}}{10} \approx 0.8714[/tex]

sin M ≈ 0.8714

[tex]\therefore m \angle M = sin^{-1} \, (sin \ M)\approx sin^{-1} (0.8714) \approx 60.62^{\circ}[/tex]

Therefore, m∠M ≈ 60.62°

m∠M ≠ sin M ≈ 0.8714

Therefore;

Kimberly did not find the inverse sine (sin⁻¹) of the value she calculated

Answer:

15 cm squared

area =l x w

so 3 x 5= 15

Step-by-step explanation:

Answer:

15cm

Step-by-step explanation:

Answer:

y=-4x+5

Step-by-step explanation:

Answer:

8 meters per minute

Step-by-step explanation:

120/50=8

Hope this helps! :)

Answer:

8 meters/second

Step-by-step explanation:

Divide the distance(120 meters) by the time(15 minutes) to find the answer. the formula for any speed problem is d/t.

Hope this helps!

Answer:

I mean I think they are all quadrilateral, but the one that is congruent and perpendicular on both sides is a square.

Step-by-step explanation:

Answer:

To get the circumference, multiply the diameter by pi.  You have the diameter in meters, and you were given an approximate value of pi.  Multiply these 2 numbers, and get the circumference in meters.

Step-by-step explanation:

Answer:

144π or about 452.39

Step-by-step explanation:

Diameter = 24 meters

Radius = diameter/2 = 12 meters

Area of a circle = π*radius*radius = π*radius^2

Area = π*12^2 = 144π = 452.39

Answer:

The answer is A)-4,6

Step-by-step explanation:

sorry if wrong

hope this helps

plz give brainliest

Answer:

4

Step-by-step explanation:

It is. I just know it lol

Answer:

Figure 3

Step-by-step explanation:

Answer:

$2.22

Step-by-step explanation:

Answer: 502.655

Step-by-step explanation:

just search cylinder calculator

Answer:

20

Step-by-step explanation:

Answer: He bought 46.875 pounds of rice for the week.

Step-by-step explanation:

Total rice he bought = (Number of dishes made in a week) x (portion of rice in each dish)

GIven: Each portion has 5 ounces of rice.

i.e. each portion has [tex]\dfrac{5}{16}[/tex] pounds of rice.    [ 1 pound = 16 ounces]

Total rice he bought ( in pounds)=[tex]150\times\dfrac{5}{16}[/tex]

[tex]=46.875\text{ pounds}[/tex]

Hence, he bought 46.875 pounds of rice for the week.

Answer:

20

Step-by-step explanation:

45% of x=9

x=9/0.45 = 20

When interset compounded continuously so the amount after 10 years the amount will be $18819.75, when n = 365 and t = 10 years amount will be $18819.22, when n = 12 and t = 10 years amount will be $18803.91.

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

If the interest compounded continuously:

P = $12000, r = 4.5% = 0.045%

[tex]\rm A(t) =12000(e)^{0.045t}[/tex]

When t = 10 years, plug this value in the above expression and calculating, we get;

A(10) = $18819.75

When interest compounded daily:

[tex]\rm A(t) = 12000(1+\dfrac{0.045}{365})^{365t}[/tex]

Plug t = 10 years:

We get;

A(10) = $18819.22

Similarly,

If interest is compounded monthly:

n = 12 and t =10, we get:

A(10) = $18803.91

Thus, when interset compounded continuously so the amount after 10 years the amount will be $18819.75, when n = 365 and t = 10 years amount will be $18819.22, when n = 12 and t = 10 years amount will be $18803.91.

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Answer:

Step-by-step explanation:

Supplementary angles add up to 180°.

“θ is 148° more than its supplement”

Supplement of θ = 180°-θ

θ = (180°-θ) + 148°

2θ = 328°

θ = 164°

Supplement of θ = 180°-164° = 16°