Mathematics High School


13. The length of a rectangle is 9 cm more than 2 times the width. If the perimeter of the rectangle is 60 cm,
what are its dimensions?
a. length = 7 cm; width = 23 cm
b. length = 5 cm; width = 16 cm
C. length = 23 cm; width = 7 cm
d. length = 23 cm; width = 16cm

Answers

Answer 1

Answer:

C. length = 23 cm; width = 7 cm

Step-by-step explanation:

Let the width is x, then the length is:

l = 2x + 9

Perimeter is:

P = 2(l + w)60 = 2(x + 2x + 9)30 = 3x + 93x = 21x = 7

Dimensions are:

Width = 7 cm, length = 2*7 + 9 = 23 cm

Correct choice is C

Related Questions

Sally left the city for vacation. Sara left 5 hours later going 58 mph faster to catch up.
After 4 hours Sara caught up. What was Sally's average speed.
O 72.5 mph
O 54.6 mph
0 46.4 mph
0 64.5 mph

Answers

Answer:46.2

Step-by-step explanation:

hope this helps

A rectangle has dimensions x and x + 5. Determine the value of x that gives the rectangle an area of 36 cm^2.

a) 9
b) 4
c) 6
d) none of these

Answers

none of these i guess

1x2x2x2x2x2x2x22222x0

Answers

Answer:

0

Step-by-step explanation:

Anything times 0 will be 0.

0
———————that’s the answer

how to solve

2(x+6)=4

x=?

Answers

Answer:

[tex]x=-4[/tex]

Step-by-step explanation:

[tex]2(x+6)=4~(Given)\\\\2x+12=4~(Distribute~2~to~x+6)\\\\2x+12-12=4-12~(Subtract~12~on~both~sides)\\\\2x=-8~(Simplify)\\\\\frac{2x}{2}=\frac{-8}{2}~(Divide~2~on~both~sides)\\\\x=-4~(Simplify)[/tex]

Answer:

[tex]\boxed {x=-4}[/tex]

Step-by-step explanation:

[tex]2(x+6)=4[/tex]

Divide both sides by 2 :

[tex]\cfrac{2\left(x+6\right)}{2}=\cfrac{4}{2}[/tex][tex]x+6=2[/tex]

Subtract 6 from both sides:

[tex]x+6-6=2-6[/tex][tex]x=-4[/tex]

______________________

Jaya is saving up for a computer.she babysits 3 days a week .however she spends $2 each day on gas to get there . If she makes a total of $84.00 in a week how much does she make babysitting each day

Answers

Answer:

28$

Step-by-step explanation:

She spends 14 dollars a week (7 days x 2$), and if she ends a week with 84$, she makes 28$ a day. This is unincluding the 14$ she spends on gas.

Number of College Faculty The number of faculty listed for a variety of private colleges that offer only bachelor’s degrees is listed below. Use these data to construct a frequency distribution with 7 classes, a histogram, a frequency polygon, and an ogive. Discuss the shape of this distribution. What proportion of schools have 180 or more faculty?

Answers

Answer: Number of College Faculty The number of faculty listed for a variety of private colleges which offer only bachelor’s degrees is listed below. Use these data to construct a frequency distribution with 7 classes, a histogram, a frequency polygon, and an ogive. Discuss the shape of this distribution. What proportion of schools have 180 or more faculty? 165 221 218 206 138 135 224 204 70 210 207 154 155 82 120 116 176 162 225 214 93 389 77 135 221 161 128 310 Source

Which equations have the same pair of solutions? Select all that apply.

n(n + 3)(n - 4) = 0
2n(4n + 6)(6n - 4) = 0
0 = 2n(6 - 4n)(4 - 6n)
0 = n(2n + 3)(3n - 2)
2n(2n + 3)(3n - 2) = 0
3n(6n + 9)(9n - 6) = 0

Answers

2, 4, 5 and 6. That is the order of equations

∠2≅∠4, m∠2=110°. Find the measures of angles 1, 3, and 4 and explain how you know.

Answers

Answer:  ∠1 =70° ;   ∠3 = 70° ;  ∠4 = 110°

Step-by-step explanation:

∠2 ≅ ∠4 = 110°                       [exterior alternate angles are equal]  

∠1 = 180° - 110° = 70°             [since angles on a line have a sum of 180°]

∠1 = ∠3 = 70°                        [since vertically opposite angles are equal]

Consider the line y=-1/2x+9
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?

Answers

Answer:

Parallel line: - 1/2

Perpendicular line: 2

Step-by-step explanation:

If covariance between two variables is near 0, it implies that:

Answers

Answer:

If the two random variables are independent, the covariance will be zero. It means they don't have any linear relationship.

Step-by-step explanation:

what is 1.07 × 103 in standard form.

Answers

Answer:

Multiply  1.07  by 103. 110.21

Step-by-step explanation:

Tell me if i'm wrong. Hope this helps!

The sum of two numbers is 70, and their difference 30. Find the two numbers using the process of substitution. Let the first umber = x and the second number = y.

Answers

Answer:

x = 50, y = 20.

Step-by-step explanation:

x + y = 70

x - y = 30

From the second equation x = 30 + y, so substituting this in the first equation:

30 + y + y = 70

2y = 70 - 30 = 40

y = 20

and x - 20 = 30

so x = 50.

Answer:

20 , 50

Step-by-step explanation:

The sum of two numbers is 70 ⇒ x + y = 70  -------------(I)

x = 70 - y  

Their difference 30 ⇒ x - y = 30  ----------(II)

Substitute x = 70 - y in equation (II)

70 - y - y = 30

Combine like terms

70 - 2y = 30

     -2y = 30 - 70

      -2y = -40

Divide both sides by (-2)

y = -40/-2

x = 20

Substitute the value of x in (I)

20 + y = 70

y = 70 - 20

y  = 50

The sum of the ages of Alice, Barbie & Cindy is 30. Alice is four times older than Cindy. Barbie is 3 years older than Alice. How old is Cindy?

A. 12
B. 21
C. 9
D. 3
E. 15​

Answers

D.

Explanation

because the number have 3

Step-by-step explanation:

A+B+C = 30

A = 4C

B = A+3

=> 4C+4C+3+C = 30

9C + 3 = 30

9C = 30-3

9C = 27

C = 3

Therefore, the age of Cindy is 3 years old

(option D)

Find the missing side of the length, s. I need help!

Answers

Answer:

s = 12

Step-by-step explanation:

Since the triangles are similar then corresponding sides are in proportion, that is

[tex]\frac{AB}{XY}[/tex] = [tex]\frac{AC}{XZ}[/tex] , substitute values

[tex]\frac{6}{9}[/tex] = [tex]\frac{8}{s}[/tex] ( cross- multiply )

6s = 72 ( divide both sides by 6 )

s = 12

Which of the following ratios are equivalent to the ratio 8 : 7?

Answers

Answer: 0.875 or 56/49

Step-by-step explanation:

I got ace in a week i felt so happy i wanna give someone branliest

2+2

Answers

Answer:

4

Step-by-step explanation:

2 plus 2 equals 4 lmk if you need more help

Answer:

4

Step-by-step explanation:

Dalawang batong itim

Answers

Sa tabi mo.

[tex] \: \: [/tex]

Step-by-step explanation:

I havenot understand queation

(02.01)Which translation will change figure ABC to figure A'B'C'?

3 units right and 3 units up

4 units right and 3 units up

4 units right and 4 units up

4 units left and 3 units down

Answers

Answer:

4 units right and 3 units up.

Step-by-step explanation:

Find the measures of the interior angles.

what is angle a, b, and c

Answers

Using angle sum property

[tex]\\ \sf\longmapsto x+90+30=180[/tex]

[tex]\\ \sf\longmapsto x+120=180[/tex]

[tex]\\ \sf\longmapsto x=180-120[/tex]

[tex]\\ \sf\longmapsto x=60[/tex]

Hi I really need help with this question, ANSWERS ONLY, I'll give 35 POINTS, PLEASE

What is the positive conterminal angle to -32° that is between 500° and 1000° and a negative conterminal angle to -32° that is between -500° and -50°?

positive coterminal angle:

negative coterminal angle:

Answers

Answer:

0° and 90°, it's Ql. If between 90° and 1800 QQ. ... Find a positive and a negative conterminal angle for the given angle.

Step-by-step explanation:

The positive and negative coterminal angles to -32° are:

Positive coterminal angle = 688°

Negative coterminal angle = -392°

What is a coterminal angle?

Coterminal angles are those whose terminal sides and beginning sides coincide.

The given angle measure is -32°.

The positive coterminal angle is:

-32° + 360°

= 328°

Since the angle is not between 500° and 1000°, add 360° one more times:

328° + 360°

= 688°

The negative co-terminal angle is:

-32° - 360°

= -392°

Hence, the positive and negative coterminal angles to -32° are:

Positive coterminal angle = 688°

Negative coterminal angle = -392°

Learn more about coterminal angles:

https://brainly.com/question/23093580

#SPJ6

Evaluate for a:

69 = 13 - 7/12a

Answers

Answer:

-96

Step-by-step explanation:

69-13=13-7/12a-13

56=-7/12a

56 times 12=-7/12 times 12

672=-7a

Move negative over

-672=7a

-672/7=a

a=-96

2x2 + 2x-4?
Which expression is equivalent to
2x2 - 4x + 2
X+2
X-1
X-2
o – 2
x+2
X-2

Answers

Answer:

2x^2 +2x-4
——————
2x^2-4x+2

Factor out 2 from the expression

2(x^2+x-2)
—————-
2(x^2-2x+1)

Write x as a difference

2(x^2x-x-2)
—————-
2(x^2-2x+1)

Use a^2-2ab+b^2=(ab)^2

2(x^2x-x-2)
—————-
2(x-1)^2

Reduce the fraction with 2

x^2x-x-2
—————-
(x-1)^2

Factor out x from the expression

X*(x^2)-x-2
—————-
(x-1)^2

Factor out negative sign from the expression

X*(x+2)-(x-2)
—————-
(x-1)^2

Factor out x+2 from the expression

(x+2)(x-1)
—————-
(x-1)^2

Simplify the expression

x+2
——
x-1

Please help me due in an hour

Answers

Answer:

Ok so it would be square root 1

Step-by-step explanation:

Which statement BEST compares the growth of the two functions shown in the table?
A
The value of the exponential function will never be greater than the linear
function
B)
The value of the linear function will never be greater than the exponential
function
The value of the linear function will eventually be greater than the
exponential function
D)
The value of the exponential function will eventually be greater than the
linear function

Answers

Answer will be (D)

The value of the exponential function will eventually be greater than the

linear function.

and

B)

The value of the linear function will never be greater than the exponential

function

A car rental agency charges $75 per day, which includes 100 miles. For each mile over 100 miles, there is an additional cost of $0.35 per mile.

Write an equation relating m, the number of miles driven, if the total cost for a one-day rental was $131.

Answers

Answer:

Answer for part b is ≈274 miles

Step-by-step explanation:

No idea what the equation is ‍

Answer:

The number of miles, m driven if the total cost for a one-day rental was $131 is; m = 160

Step-by-step explanation:

standard form of (x+4)(x-6

Answers

(x+4)(x-6)
x^2 - 6x + 4x - 24
X^2 - 2x - 24

a pole that is 3.3m tall casts a shadow that is 1.77 m long. at the same time , a nearby tower casts a shadow that is 38.5 m long. how tall is the tower? round your answer to the nearest meter​

Answers

Answer:

21m

Step-by-step explanation:

First, divide 38.5 by 3.3.

Then, multiply that number by 1.77.

You will get 20.65...

Rounded, you will get 21 because .65 is bigger than half of one.

-kiniwih426

If there is 15 flowers in 3 pots how many flowers are in one pot

Answers

Answer:

5 simple because 5*3 =15

(a) What additional information is needed to prove the triangles are congruent by ASA Postulate? Explain.
(b) What additional information is needed to prove the triangles are congruent by the HL Theorem? Explain.

Answers

Answer:

A)

The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

B)

H-L (Hypotenuse-Leg) Congruence Theorem. If the hypotenuse and leg in one right triangle are congruent to the hypotenuse and leg in another right triangle, then the two triangles are congruent.

Hope this helped

please help! i need i misses 2 lessons

Answers

Answer:

just add 1/6 and 2/3 to 650

Step-by-step explanation:

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