Gigi makes a scale drawing of a patio. The drawing below shows the two scales she used to plan two patios of different sizes. Scale 1: 1 centimeter = 5 feet. Scale 2: 1 centimeter = 8 feet. A rectangle with length 7 centimeters and width 5 centimeters. Which shows the correct dimensions of the rectangle in both scales? Scale 1: 40 ft by 56 ft; Scale 2: 35 ft by 40 ft Scale 1: 56 ft by 25 ft; Scale 2: 35 ft by 40 ft Scale 1: 35 ft by 25 ft; Scale 2: 56 ft by 40 ft Scale 1: 56 ft by 40 ft; Scale 2: 35 ft by 25 ft

Answer:

a. lenqth=32 , width=2

b. m∠p=100  m∠Q=50  m∠R=30

c. XY=20  YZ=12

d.m∠1=90    m∠2=90

Step-by-step explanation:

a. the area of a rectangle is length×width so to find the possible sizes for L and W we need to list the factors (multiplication of two numbers to get 64) of 64, which are,

1  AND  64   (this answer is suitable but it's better to choose another

one if available for more accuracy)

2  AND  32  (this is a good answer to use)

4  AND 16   (this one already used in the question)

8   AND  8   (this answer will be wrong as the sizes need to be different because it's a rectangle but it will be good for square)

SO we will choose 2 AND 32 for the answer and we can put them in any order we want.

b. first of all acute angles are angles measured less than 90 degrees. so to have at least one angle not acute we use measures up to 90 degrees.

I will put one answer as 100 degrees (note you can use any number above 90 to not be an acute angle) and the other answers will be two numbers add up to be 80 degrees (and again you can choose any numbers for that).

c. the two answers should add up to be 32 so for this counterexample we can choose any two numbers to have the sum of 32 (remember that 16+16 already chosen in the question.

d. two supplementary angles are two angles add up to be 180 degrees so for this question we need to find two angles sum to 180 and not obtuse (that mean 90 degrees or less) and the only answer can appear is 90+90=180.  

Answer: 16.6

Step-by-step explanation:

Answer:

Hope this helps...if it dosent, sorry

Step-by-step explanation:

Answer:

Multiply -3 by 2.

Multiply x by 2.

Combine like terms.

Subtract 6 from both sides.

Use the quadratic formula to solve for x.

Step-by-step explanation:

Given:

-x (-3 + x )2 = 6

-x (-3 + x )2 = 6

-x (-6 + 2x) = 6

-6x + 2x^2 = 6

2x^2 - 6x - 6 = 6 - 6

2x^2 - 6x - 6 = 0

Multiply -3 by 2.

Multiply x by 2.

Combine like terms.

Subtract 6 from both sides.

Use the quadratic formula to solve for x.

x-2=0 answer

Step-by-step explanation:

x=-2 move constant to the left by adding its opposite to both sides

x+2=2-2 the sum of two opposites equals 0

x-2=0

ANSWER X-2=0

Step-by-step explanation:

Si una caja contiene 448 cajas y debe acomodarse en tres cajas más pequeñas, si la primera contiene 1/8 del total, entonces el número de cajas en la primera será:

[tex]= \frac{1}{8}\times 448\\ = \frac{448}{8}\\ = \frac{8\times56}{8}\\ = 56[/tex]

Por lo tanto, la primera caja contiene 56 cajas más pequeñas.

Si el segundo contiene 3/8 del total, entonces el número de casillas en el segundo será:

[tex]= \frac{3}{8}\times 448\\ = \frac{3\times448}{8}\\ = \frac{8\times 3 \times 56}{8}\\ = 3 \times56\\= 168[/tex]

Por lo tanto, la segunda caja contiene 168 cajas más pequeñas.

Si el tercero contiene 4/8 del total, entonces el número de casillas en el tercero será:

[tex]= \frac{4}{8}\times 448\\ = \frac{1}{2} \times 448\\ = 224[/tex]

Por lo tanto, la tercera caja contiene 224 cajas más pequeñas.

La cantidad que quede en la casilla original se expresará como

= 448- (56 + 168 + 224)

= 448-448

= 0

Por lo tanto, no quedó ninguno en la caja original.

Answer:

Step-by-step explanation:

let the number of dimes=x

and number of quarters=y

x=2y

0.10 x+0.25 y=2.25

or 10x+25y=225

divide by 5

2x+5y=45

2 ×2y+5y=45

4y+5y=45

9y=45

y=45/9=5

x=2y=2×5=10

Hence dimes=10

quarters=5

Answer:

x = -3

Step-by-step explanation:

start with 3.46x + 6.38 = -4. Then take away 6.38 from both sides to get 3.46x=-10.38. Then you divide both sides by 3.46 to get x = -3.

Answer:

3900

Step-by-step explanation:

Not really sure how to explain this one.

Answer:

$26.82

Step-by-step explanation:

It's just simple addition really. You start with adding 6.79 and 11.08 to get 17.87 and then add 8.95 to 17.87 to get 26.82. Hope this helps.

Answer:

y=.75x-2

Step-by-step explanation:

4,1

8,4

3/4 or .75x

to check answer:

(.75*8)=6

6-2

4

The equation of the line shown in the graph is y = 4x / 5 -2.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,

Points located on the graph that lies on the line are (0, -2), and (2.5, 0)

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

Substitute the value in the above equation,

m = 0+ 2 / 2.5 -0 = 20/25
m = 4 / 5

The equation of the line is given as

y - y₁ = m (x - x₁)

Substitute the one point (-2, 0) and m in the above equation,
y + 2 = 4/5 (x - 0)

y = 4x / 5 -2

Thus, the equation of the line shown in the graph is y = 4x / 5 -2.

Learn more about slopes here:

https://brainly.com/question/3605446

#SPJ2

Answer:

0 or No solutions

Step-by-step explanation:

hope this helps!

Answer:

Hello

Step-by-step explanation:

by what i understood the awnser should be c

Answer:

it’s going up by 3 boys per girl!

Step-by-step explanation:

Correct me if I’m wrong by commenting down below.

Answer:

D

Step-by-step explanation:

y=kx+m

In this case I think the slope would be k.

k=y2+y1 / x2+x1

(4,-1) and (-1,4)

k=(4-1)/(-1-4)= 3/-5= -0.6 which is about -1

Answer:

315

Step-by-step explanation:

5 x 7 = 35

280 + 35 = 315

There sth answer

Answer:7 inches → 280 yards

1 inch → 280 ÷ 7 = 40 yards

5 inches → 40 x 5 = 200 yards

Area = 280 x 200 = 56 000 yards

hope this help btw i am 12

Step-by-step explanation:

Answer:

g

Step-by-step explanation:

Answer:

Perimeter of rectangle = 728 cm

Step-by-step explanation:

Length :  breadth = 15 : 11

Length = 15x

Breadth = 11x

15x - 11x = 56 cm

         4x = 56

           x = 56/4

           x = 14

Length = 15 *14 = 210 cm

Breadth = 11 * 14 = 154 cm

Perimeter of rectangle = 2 * ( length + breadth)

                                     = 2 *(210 + 154)

                                     = 2 * 364

                                      = 728 cm

Answer:

1 teaspoon of salt to 3 teaspoons of red pepper flake

Step-by-step explanation: 12 divided by 4

Answer:

w * w+2 = area of the shed

Step-by-step explanation:

Well you just do the width times the width plus two. (please Brainliest)

Answer:

x = 1 + y

Step-by-step explanation:

add y to both sides, and that is basically it

Answer:

840

Step-by-step explanation:

if it can hold 70 in 20 minutes it can hold 210 in 1 hour and 4x210 equals 840

Answer:

impossible you cant get one that is over 5 if it only goes to 5

Step-by-step explanation:

Answer:

7512 minutes

Step-by-step explanation:

313 students each completed a 24 minute session.  Which would be

313 · 24 = 7512

hope this helps... please amkr brainliest answer if correct:)

Answer:

7x+y=6

Step-by-step explanation:

trust

Answer:

0.000843

Step-by-step explanation:

simplify the expression:

8.43 × 0.0001

now simplify:

0.000843

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Answer:

six[6] snack packs.

Step-by-step explanation:

Without mixing words, let's dive straight into the solution to the question above. So. the mathematics principle behind this question is what is known or refer to as Greatest Common Factor. The term ''Greatest Common Factor'' with acronym GCF means the highest factor in the set of numbers given.

In this question, we are given that there are 18 cans of juice, 24 apples and 36 small bags of mix trails in order to make snack packs. Thus, we have three set of values or numbers that is 18, 24 and 36. Hence, the question/problem require us to determine the greatest number of snack packs Jane can make that is to find/determine the  Greatest Common Factor.

STEP ONE: DETERMINE OR LIST OUT THE FACTORS FOR THE THREE SET OF VALUES GIVEN, THAT IS 18, 24 AND 36.

The  factors of 18 = 1, 2, 3, 6, 9 and 18.

The factors of 24 = 1, 2, 3, 4, 6, 8, 12, and 24.

The factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18,  and 36.

STEP TWO: DETERMINE THE GREATEST FACTOR COMMON TO THE THREE LISTS.

For the three lists, the greatest factor common to them is 6.

Therefore, The greatest number of snack packs Jane can make is six[6] snack packs

Answer:

a

   [tex]P(X <  24 )=  21.186\%  [/tex]  

b

    [tex]x =  19.78 \  months[/tex]

Step-by-step explanation:

From the question we are told that

 The mean is   [tex]\mu  =  26 \  months[/tex]

 The standard deviation is  [tex]\sigma  =  4 \  months[/tex]

 Generally 2 year is  equal to  24 months

Generally the percentage of total production will the company expect to replace is mathematically represented as

      [tex]P(X <  24 )=  P(\frac{X - \mu }{ \sigma} <  \frac{24 - 26}{4}  )[/tex]

Generally  [tex]\frac{X - \mu}{\sigma } =Z (The  \ standardized \  value  \  of  \  X )[/tex]

     [tex]P(X <  24 )=  P(Z <  -0.8  )[/tex]

Generally from the z-table  

       [tex]P(Z <  -0.8) =  0.21186[/tex]

So

       [tex]P(X <  24 )=  0.21186[/tex]

Converting to percentage

      [tex]P(X <  24 )=  0.21186  * 100[/tex]

=>    [tex]P(X <  24 )=  21.186\%  [/tex]  

Generally the duration that should be the guarantee period if  Accrotime does not want to make refunds on more than 6% is mathematically evaluated as

    [tex]P(X <  x) =  P(\frac{X - \mu }{\sigma}  < \frac{x - 26}{4} )= 0.06[/tex]

=> [tex]P(X <  x) =  P(Z < \frac{x - 26}{4} )= 0.06[/tex]

From the normal distribution table the z-score for  0.06 at the lower tail  is

       [tex]z = -1.555[/tex]

So

    [tex]\frac{x - 26}{4} = -1.555[/tex]

=> [tex]x =  19.78 \  months[/tex]