The length of a rectangle is 11 m less than three times the width, and the area of the rectangle is 42 m^2 . Find the dimensions of the rectangle.

Answer:

yes, $694.88

Step-by-step explanation:

You have to find the cost after applying the coupon and sales tax. First remove 25% from the price by finding 75% of the price. 850*.75=$637.5 after applying the coupon. Then you would have to increase it by 9% to account of sales tax, so multiply by 1.09. 637.5*1.09= $694.88 after sales tax. This means that Larry can very narrowly afford the computer.

Step-by-step explanation:

10. [-19-(-20) - (-34)] ÷ (-6)

= (-19+20+34) ÷ (-6)

= 35 ÷ (-6)

= -5.83

12. [-18 - (-66) -22] × 2

= [-18+66-22] × 2

= 26 × 2

= 52

Answer:

10. -35/6

12. 52

Step-by-step explanation:

A notation like - (-6) can be written as +6 ("two times minus is plus").

So your question 10. becomes:

(-19 + 20 + 34) / -6, which is more pleasant to the eye.

Further simplifying gives you 35 / -6 which you should write as -35/6.

The next question, same principle:

(-18 + 66 - 22) * 2 = 26 * 2 = 52

Answer:

12

Step-by-step explanation:

this is answer of q.n.8

__________________

3x+5+4x+7+6x+12=180°[being sum of angle of triangle is 180°]

13x+24=180

13x=180-24

13x=156

x=156/13

x=12

Answer:

[tex]CP = 24[/tex]

Step-by-step explanation:

The measured sides are 24 and 32 units long. It means that the larger triangle is [tex]\frac{32}{24} =\frac 43[/tex] times bigger than the smaller one. In particular, all linear measures are scaled of the same ratio: for medians we can write

[tex]FQ= \frac 43 CP \rightarrow 3FQ=4CP[/tex]

At this point we replace both segments with their lengths and solve for x. Once we find x, we can determine the length of CP.

[tex]3(2x+8)=4(3x-12)\\6x+24=12x-48 \rightarrow 6x=72 \rightarrow x=13\\CP = 3(13)-12 =36-12=24[/tex]

The length of the median CP is 24 units if the triangle ABC and triangle DEF are similar, option (C) is correct.

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

The ratio of the sides:

DE/AB = 32/24 = 4/3

Similarly, the ratio of the sides:

QF/CP = 4/3

3QF = 4CP

3(2x + 8) = 4(3x - 12)

6x + 24 = 12x - 48

6x = 72

x = 12

CP = 3(12)—12 = 24 units

Thus, the length of the median CP is 24 units if the triangle ABC and triangle DEF are similar, option (C) is correct.

Learn more about the similarity of triangles here:

brainly.com/question/8045819

#SPJ2

Answer:

63

Step-by-step explanation:

27+90=117

180-117=63

Answer: y = x - 5

Step-by-step explanation:

Slope intercept form is y = mx + b

to find the slope: y2-y1/x2-x1: 15-14/20-19 = 1/1 = 1

so we can write it as y = x + b, (since the slope is 1).

To find b, plug in either point given to the formula:

15 = 20 + b

b = 15 - 20

b = -5

so the completed equation is y = x - 5

Answer:

y = x-5

Step-by-step explanation:

The form of slope intercept is y=mx+b]

To solve :

First you need to find the slope

To find the slope, you the slope equation, which is y2-y1/x2-x1

Since first you put y2-y1 at the top, it would be 14-15 and then 19-20 at the bottom since x2-x1 is put at the bottom.

Your slope equation should be : m=14-15/19-20, which should give you m=-1/-1 with m being 1.

Then you plug in the value in the slope intercept equation

To help us find the y intercepts, lets choose one our points.  In this case, we will be using (20,15) since it is the first point.

Slope intercept form is y=mx+b.

we do 15= 1 x 20 +b

15=20+b, gives you b=-5

How you got b=-5:

1)Put the equation into this by switching sides :

1 (20)+b=15

2) Get rid of the parenthases :

1 x 20 + b=15

3) multiply :

1 x 20=20, so

20+b=15

4) On both sides, subtract 20

so it would be

20+b-20=15-20, which gives you b=-5

Answer:

Lori reportedly paid her mother a third of the $39. Now let's see what 1/3 of $39 is.

$13 = 39/1 x 1/3 So she paid $13, but she still owes $23 of the original $39.

So, we need to figure out what 2/3 is, and here's how: 39 - 13 = $26. She owes her mother $26.

As a result, it now indicates that she paid 1/4 of the outstanding debt. Let's see what 1/4 of $26 equals.

6.50 = 26/1 x 1/4 She repaid $6.50 of the $26 she had borrowed. And she still owes 3/4 of what she owes. Let's find out what 3/4 means now. So, remove $6.50 from $26, as follows: 26 - 6.50= $19.50.

Step-by-step explanation: See above.

Hope this helps.

Answer:

7.08

Step-by-step explanation:

39 divide by 1/3 =117

117 divide by 1/4= 708

and u get 7.08

Answer:

9 mi

Step-by-step explanation:

V = 1385.44 mi³, radius r = 14/2 = 7 mi, find h

Use V = πr²h

1385.44 = 3.14 * 7² * h = 153.86 h

so

h = 1385.44/153.86 = 9 mi

Answer:

140

Step-by-step explanation:

560. 1

____. ÷. ______

1. 4

Cross out the numbers that are divisible

560/4 = 140

Step-by-step explanation:

m ( < Q ) = m ( < L )... alternative angles

m ( < R ) = m ( < M )... alternative angles

m ( < RPQ ) = m ( < LPM )... vertically opposite angles ķ

[tex](\sqrt{a} -2)(\sqrt{a}+2)\\=\sqrt{a}*\sqrt{a} +2\sqrt{a} -2\sqrt{a} -2*2\\=a - 4[/tex]

Hope that helps!

Answer:

90 dollars

Step-by-step explanation:

so first you need to solve for the rate of change or slope with the equation

y 2 - y1 / x2 - x1

here i think the independent variable is number of roses since the dollars rely on the number of roses (sorry for my explanation its kinda bad)

so since number of roses is independent we know that it is x and that the price in dollars is y

anyways we have to substitute two values into the equation

y 2 - y1 / x2 - x1

(3, 9) (6, 18)

18 - 9 / 6 - 3

9 / 3

3

knowing that the rate of change is 3, to find the price for 30 roses all we have to do is:

let p be price

p = 3x

p = 3(30)

p = 90 dollars

Answer:

9.7 ft

Step-by-step explanation:

Use the formula for the area of a regular polygon with "n" sides with lengths "s" and apothem a:

A= 1/2 ans

1. Substitute A= 310.4

2. n= 8 (for octagon)

3. s = 8 (length of side)

310.4 = 1/2 (a)(8)(8)

310.4= 32a

a= 9.7 ft

Length of apothem: 9.7 ft

Folding the paper is an illustration of rotation

Two right triangles and one square would be seen on the diagram, when folded

From the figure, we have the following highlights

This means that when the paper is folded as shown, the designs would fall on each other, and the shapes would fit in perfectly.

Hence, two right triangles and one square would be seen on the diagram, when folded

Read more about rotation at:

https://brainly.com/question/4289712

Answer:

(D) 9 Trips

87 / 10 = 8,7, so it takes at least 9 trips

Answer:

Oar City

Step-by-step explanation:

boat bunker charges 9$ per hour

27÷3=9

while Oar City charges 5$ per hour

45÷9=5

Formula to find average:

Total value / number of values

____________

1. Krista = 30

a) Des = 2(30) - 20 = 40

b) Dodie = 30 - 4 = 26

c) Average score = 40 + 30 + 26 / 3 = 32

d) Dodie scored the least marks.

_____________

2. Ezekiel = x

Vincent = 6 + x

Daniel = x - 3

Average = 63

63 = x + 6 + x + x - 3/3

63 × 3 = x + 6 + x + x - 3

189 = 3x + 3

189 - 3/3 = x

62 = x

a) Vincent = 6 + x = 68 kg

b) Ezekiel = x = 62 kg

c) Daniel = x - 3 = 59 kg

d) Total weight = 62 + 68 + 59 = 189 kg

_____________

Hope it helps ⚜

Answer:

Slope= 30

Speed = 30 miles per hour

Step-by-step explanation:

Given two points the slope will be change in y over change in x

OR (y-y1)/(x-x1)

(120-60)/(2-1) = 60/2 = 30miles/hr

Answer:

3(2x+5)

Step-by-step explanation:

Since the GCF of 6 and 15 is 3, you should take out the 3 from both parts of the equation.

Answer:

C. 3, 1/3, .3, 3%

Step-by-step explanation:

3 is a whole number that makes it the greatest

1/3 in a decimal form is 0.33 repeating

.3 is .30 which is smaller than previous.

3% converted in decimal form is 0.03 which is the smallest

Answer:

-79 is the ansekendndjdisosj

Step-by-step explanation:

1st ratio=

5:7

[tex] \frac{5}{7} [/tex]

2nd ratio =

35:49

[tex] \frac{35}{49} \\ \frac{7 \times 5}{7 \times 7} \\ \frac{7}{7} \times \frac{5}{7} \\ 1 \times \frac{5}{7} \\ \frac{5}{7} [/tex]

Hence, the ratios are equal

Solution:

Step-1: Convert the ratios into fractions.

Step-2: Simplify both sides of the fraction.

~5/7 cannot be simplified because the numerator and denominator are prime number. However, 35/49 can be simplified by dividing 7 to the numerator and the denominator.

⇒ 5/7 = 35/49

⇒ 5/7 = 5/7 (Yes. They are equal)

Answer:

C

Step-by-step explanation:

Because it can be 9 or less than 9

Answer:
The answer would be C

Step-by-step explanation:

The reason why the answer would be C is because if it were to only be exactly at nine it would be the symbol of just less then but because the circle is filled that means that is less then or equal to

Have a good day

Answer:

05:45, 15 is a quarter of an hour.

Answer:

5:45 15 minutes is a quarter of an hour

the answer is c

Step-by-step explanation:

i took the test today