A student number system for a county requires that the student number be 5 characters.

Write an expression for the cost of 1 uniform, add $13, $11 and $8 .

Liula [17]

Answer:

Hey there!

Let the cost of one uniform be c, so the expression becomes

c+13+11+18

Thus, we have c+42

Hope this helps :)

7 0

3 years ago

Read 2 more answers

Write the equation in slope-intercept form then change it to standard form with integer coefficients.

SCORPION-xisa [38]

Answer:

1. Slope-intercept form: $y = 2x - 4$

Standard form: $2x - y = 4$

2. Slope-intercept form: $y = \dfrac12x - 1$

Standard form: $x - 2y = 2$

3. Slope-intercept form: $y = \dfrac45x + \dfrac{21}{5}$

Standard form: $4x -5y = - 21$

Step-by-step explanation:

Slope intercept form: $y = mx + b$

where:

$y$ = y-coordinate
$m$ = slope
$x$ = x-coordinate
$b$ = y-intercept

Standard form: $Ax + By = C$

$\textsf{1. as} \ m=2: \ \ y = 2x + b$

$\textsf{at} \ (6, 8): \ \ 8 = 2(6) + b$

$\implies b = -4$

Slope-intercept form: $y = 2x - 4$

Standard form: $2x - y = 4$

$\textsf{2. as} \ \ m = \dfrac12: \ \ y = \dfrac12x + b$

$\textsf{at} \ (4, 1): \ \ 1 = \dfrac12(4) + b$

$\implies b = -1$

Slope-intercept form: $y = \dfrac12x - 1$

Standard form: $x - 2y = 2$

$\textsf{3. as} \ \ m = \dfrac45: \ \ y = \dfrac45x + b$

$\textsf{at} \ (1,5): \ \ 5 = \dfrac45(1) + b$

$\implies b = \dfrac{21}{5}$

Slope-intercept form: $y = \dfrac45x + \dfrac{21}{5}$

Standard form: $4x -5y = - 21$

7 0

2 years ago

What number would you add to both sides of x2 + 7x = 4 to complete the square?

Nata [24]

Answer:

12.5

Step-by-step explanation:

(7/2) = 3.5

(3.5)^2 = 12.5

8 0

3 years ago

A cable car begins its trip by moving up a hill. As it moves up, it gains elevation at a constant rate of 50 feet/minute until i

asambeis [7]

Answer:

he cable car's elevation will be 750 feet after 15 minutes

Step-by-step explanation:

Given:

elevation, e =2,000 feet

rate, I = 50 feet/minute

The equation that models the car's elevation, e, after t minutes is e = |t

The cable car's elevation will be 750 feet after how many minutes?

since, e = It

for 2,000 feet = 50 feet/minute * t

t = 2000/50 =40minutes

using the same constant rate, I for 750ft, T =

since, e = It

for 750 feet = 50 feet/minute * t

t = 750/50 =15minutes

3 0

3 years ago

11.Find the missing value given the rate of change.(2,6) and (x, 10) m = 4

Anvisha [2.4K]

The missing value x=3 is obtained by the concept of slope in coordinate geometry.

<h3>What is slope?</h3>

Positive or negative rates of change are both possible. Since the slope of a line is determined by the ratio of the vertical and horizontal change between any two locations on a plane or line, the slope is determined by the rise to run ratio. Where, Rise is the difference in elevation between two points. The horizontal shift between two places is known as a run.

Formula of slope = $\frac{y2-y1}{x2-x1}$ (equation 1)

According to the question the coordinates are: xi=2, x2=x, y1=6, y2=10

Given, rate of change=4 (here rate of change=slope)

Putting all coordinates in equation 1

Slope= $\frac{10-6}{x-2}$

4=4/x-2

x-2=1

x=3

Therefore, the missing value x=3

To know more about slope visit:

brainly.com/question/3605446

#SPJ9

4 0

1 year ago