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2 years ago

Y=2x+1 find the slope and y-intercept

2 answers:

6 0

$The\ slope-intercept\ form:y=mx+b\\\\m\ is\ the\ slope\\b\ is\ y-intercept\\=========================\\y=2x+1\\\\the\ slope:m=2\\\\y-intercept:b=1$

Sergio039 [100]2 years ago

3 0

Y = mx + b

y=2x+1

Slope = 2
Y-Intercept = 1

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A track team has 4 runners on a relay team. If by coincidence each runner takes an average of 45.48 seconds to complete her leg

musickatia [10]

Answer:

181.92 seconds

Step-by-step explanation:

We are given that,

Time taken by each person in the team = 45.48 seconds

Number of members in the team = 4

It is required to find the total time taken by the team to finish the race.

Thus, the time taken taken = 4 × 45.48 = 181.92 seconds

Hence. the team finished the race in 72.4 seconds.

6 0

3 years ago

Five times a number is the same as 30 more than 8 times the number.find the number

Goshia [24]

Answer:

hey here's your answer!☺️

since number = n

so, 5 times of number = 5×n = 5n

and , 30 more than 8 times the number = 8n + 30

so, According to the question,

equation formed :-

" 5n = 8n + 30 "

hope it is helpful ✌️!

6 0

2 years ago

An angle made with two radii whose vertex is at the center of a circle is the definition of what

Katena32 [7]

Answer: congruent central angles

Step-by-step explanation:

A central angle is an angle formed by two radii with the vertex at the center of the circle. In the diagram at the right, ∠AOB is a central angle with an intercepted minor arc from A to B. In a circle, or congruent circles, congruent central angles have congruent arcs.

4 0

2 years ago

I need help, pls can somebody help on this, it due this Friday

rusak2 [61]

Answer:

To express percentages in decimal form, you start with the decimal on the right side of the percentage, then you bring the decimal two places to the left. So for example, for 5% it it 5.. when you bring the decimal two places to the left it becomes .05

We start with $371.93 then we multiply each percentage successively to this number

we work backwards

so we start with 5%

$371.93= .95 x X

X=$391.51

Then we take X and do the same process for 10%

$391.51= .90 x Y

Y = $435.01

again we take Y and do the same process for 25%

$435.01= .75 x Z

Z = $580.01

so the original price is $580.01

to find the total percent discount you take the total discounted price ($371.93) divided by the original price ($580.01) then you have 1 subtracted by the number. Finally, you multiply the number by 100 to change it to a percentage

so it's $371.93/$580.01 which = .64125

1 - 64125 = .35875 x 100= 35.88%

so your total percent discount is 35.88%

Hope this helps

5 0

3 years ago

Question 2 -of 15 Step 1 of 1No Time LimitA company manufactures two products. One requires 5 hours of labor, 3 poundsof raw mat

elena-14-01-66 [18.8K]

the cost of labour per hour is $7.20

the cost of raw materials per pound is $11.60

Explanation:

For product one:

time = 5 hours of labour

let the cost labour per hour = x

Amount = 3 pounds of raw amterials

let the cost of one pound raw material = y

Cost to produce each product = $70.8

The equation:

time (cost per hour) + amount (cost of one pound of raw material) = Cost to produce each product

5(x) + 3(y) = 70.80

$5x+3y=70.8....\mleft(1\mright)$

For product 2:

time = 3.5 hours of labour

let the cost of labour per hour = x

Amount = 13 pounds of raw amterials

let the cost of one pound raw material = y

Cost to produce each product = $176.00

The equation:

time (cost per hour) + amount (cost of one pound of raw material) = Cost to produce each product

3.5(x) + 13(y) = 176

$3.5x+13y=176\text{ .... (2)}$

combining both equations:

5x + 3y = 70.8 ...(1)

3.5x + 13y = 176 ....(2)

Using elimination method:

To eliminate y, we will multiply equation (1) by 13 and equation (2) by 3 so that both coefficient of y become the same

65x + 39y = 920.4 ...(*1)

10.5x + 39y = 528 ...(2*)

subtract equation (2*) from (1*):

65x - 10.5x + 39y - 39y = 920.4 - 528

54.5x + 0 = 392.4

54.5x = 392.4

divide both sides by 54.5:

x = 392.4/54.5

x = 7.2

substitute for x in any of the equations

Using equation 1: 5x + 3y = 70.8

$\begin{gathered} 5\mleft(7.2\mright)+3y=\text{ 70.8} \\ 36\text{ + 3y = 70.8} \\ 3y\text{ = 70.8 - 36} \\ 3y\text{ = 34.8} \\ \\ \text{divide both sides by 3:} \\ \frac{3y}{3}=\frac{34.8}{3} \\ y\text{ = }11.6 \end{gathered}$

Hence, the cost of labour per hour is $7.20 and the cost of raw materials per pound is $11.60

6 0

11 months ago