image to help also needed asap :/

Answer:

The length of rectangle is 7 cm and width is 2 cm.

Step-by-step explanation:

Given that:

Area of rectangle = 14 square centimeters

The length of a rectangle is 3 centimeters less than five times its width.

Let,

L be the length and W be the width of the rectangle.

L = 5W - 3

Area of rectangle = Length * Width

14 = (5W-3)*W

[tex]14=5W^2-3W\\5W^2-3W-14=0[/tex]

Factorizing the equation;

[tex]5W^2-10W+7W-14=0\\5W(W-2)+7(W-2)=0\\(5W+7)(W-2)=0[/tex]

Either,

5W+7 = 0

5W = -7

W = -7/5

Or,

W-2 = 0

W=2

As width of rectangle cannot be negative, therefore,

Width = 2 centimeters

Length = 5(2) -3 = 10-3 = 7

Hence,

The length of rectangle is 7 cm and width is 2 cm.

9514 1404 393

Answer:

  x = 5

Step-by-step explanation:

We can subtract 3x, add 12, and divide by 4.

  7x -12 = 3x +8

  4x -12 = 8 . . . . . . . . subtract 3x

  4x = 20 . . . . . . . . . . add 12

  x = 5 . . . . . . . . . . . . divide by 4

Answer:

3

Step-by-step explanation:

This experiment has four groups. Each of these groups have six observations

Total number of observations = 4 x 6 = 24

Treatment degrees of freedom can be gotten by using this formula

Df1 = K - 1

= 4-1

= 3

Therefore for this question, the treatment degrees of freedom is given as 3 and the correct answer option is b.

Answer:

Step-by-step explanation:

Hehe

Answer:

32%

Step-by-step explanation:

1/6=32%

Answer:

r=-1/2

Step-by-step explanation:

(-5*-1/2=2.5)( 2.5-1=1.5) (7x -1/2= -3.5)-3.5+5 =1.5

Answer:

wdym

Step-by-step explanation:

Answer:

4/6

Step-by-step explanation:

1/2=3/6+1/6=4/6

Answer:

4/6. If you reduce it you get 2/3

Step-by-step explanation:

Answer:

10 marbles

Step-by-step explanation:

25% * 40= 1000

1000/100=10

=10 marbles

Answer:

See below, sorry for taking so long

Step-by-step explanation:

1.

A. Slope is rise over run or y2 - y1 divided by x2 - x1

We have (-5, 1) and (-3, 7)

7 - 1 / -3 - (-5)

6 / -3 + 5

6 / 2 = 3

Slope = 3

B. So point slope form is y - y1 = m(x - x1)

We know the slope so:

y - 1 = 3(x - (-5))

C. Using the point slope we can move things around to get slope-intercept:

y - 1 = 3(x + 5)

y - 1 = 3x + 15

y - 1 + 1 = 3x + 15 + 1

y = 3x + 16

D. Standard form is Ax + By = C:

y = 3x + 16

y - y = 3x + 16 - y

0 = 3x + 16 - y

0 - 16 = 3x + 16 - y - 16

-16 = 3x - y

3x - y = -16

Answer:

yo done so easy

Step-by-step explanation:

Answer:

8 sides for this one

Step-by-step explanation:

hope this helps

Answer:

2x+48=6x

Step-by-step explanation:

Answer:

not enough information

Answer:

It's 0.6

Step-by-step explanation:

Answer:

u smart biy

Step-by-step explanation:

Answer:

[tex]m=-2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-3, 5)

Point (0, -1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Answer:

L = 34 - 0.5d

21 feet

Step-by-step explanation:

The initial water level ; 34

the amount is rises per day; 0.5

"L" is the water level,

"d" is the days passed.

In order to find the water level, one will have to multiply the amount the water rises each day, by the days passed. Then one will have to subtract that from the initial water level, hence the equation formed is the following;

L = 34 - 0.5d

Substitute in 26 for "d", to solve for the water level after 26 days.

L = 34 - 0.5(26)

L = 34 - 13

L = 21

Answer:

$52.00

if you need the difference, its $28.00

Answer:

$52

Step-by-step explanation:

Answer:

D. x = 32 and x = 0

Step-by-step explanation:

You can solve it a multitude of ways one of the easiest ways for me was the quadratic formula.

Answer:

54.8275862069

Step-by-step explanation:

If you want rounded than 54

Answer:

The calculated value Z = 2.3084 > 1.96 at 5% level of significance

Null hypothesis is rejected

Alternative hypothesis is accepted

The hotel does not expects that 24% of all guests will request smoking rooms

Step-by-step explanation:

Step(i):-

Given the hotel takes a random sample of 223 guests. Out of this sample, 39 guests requested smoking rooms.

Sample proportion

                          p = x/n = 39/223 = 0.174

Given Population proportion 'P' = 0.24

Given random sample size 'n' = 223

Level of significance ∝ =0.05

The critical value Z₀.₀₅ = 1.96

Null Hypothesis (H₀) : P=0.24

Alternative Hypothesis (H₁) : P≠ 0.24

Step(ii):-

Test statistic

            [tex]Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }[/tex]

           [tex]Z = \frac{0.174-0.24}{\sqrt{\frac{0.24 X 0.76}{223} } }[/tex]

           |Z| = | -2.3084|= 2.3084

The calculated value Z = 2.3084 > 1.96 at 5% level of significance

Null hypothesis is rejected

Alternative hypothesis is accepted

The hotel does not expects that 24% of all guests will request smoking rooms

Answer:

what?

Step-by-step explanation:

Answer:

68%

Step-by-step explanation:

Given that:

Mean speed (m) = 46

Standard deviation (s) = 13

Approximately what percentage of vehicle speeds were between 33 and 59 mph

Obtain the Zscore for P(Z < x) for both values and subtract :

For x = 33

Zscore :

Z = (x - m) / s

Z = (33 - 46) / 13 = - 1

p(Z < - 1) = 0.15866 ( Z probability calculator)

For x = 59

Zscore :

Z = (x - m) / s

Z = (59 - 46) / 13 = 1

p(Z < 1) = 0.84134 ( Z probability calculator)

Hence, 0.84134 - 0.15866 = 0.68268 = 0.68

0.68 * 100% = 68%

Answer:

y= 1/4

Step-by-step explanation:

Answer:

y=-7/8

Step-by-step explanation:

-4y-10=4y-3

add 10 on both sides

-4y=4y+7

subtract the four on the right from both sides

-8y=7

divide -8 on both sides

answer: -7/8

Answer:

i think it is B i think im not too aure

Answer:

Option (3)

Step-by-step explanation:

Formula to get the surface area of a sphere is,

Surface area of a sphere = 4πr²

Here 'r' = Radius of a sphere

Since, r = 9 units and π = 3.14

Surface area of the sphere = 4(3.14)(9)²

                                             = 1017.36 square ²units

Therefore, Option (3) will be the correct option.

Answer:

c

Step-by-step explanation:

on edge

Answer:

A = $237,120.00

I = A - P = $85,120.00

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 3.5%/100 = 0.035 per year.

Solving our equation:

A = 152000(1 + (0.035 × 16)) = 237120

A = $237,120.00

The total amount accrued, principal plus interest, from simple interest on a principal of $152,000.00 at a rate of 3.5% per year for 16 years is $237,120.00.