If a drawing of a house is 12 inches tall and the scale ratio is 1 inch:6 feet, how tall is the house?
А
6 feet
B
18 feet
C
72 feet
D
82 feet

Answer:

20 yards

Step-by-step explanation:

First, we have to know how to get from inches to yards. 12 inches = 1 foot, and 3 feet = 1 yard.

Next, we have

[tex]\frac{720 in}{1}[/tex]

as a given. We want to multiply this by our conversions to get the end amount in yards.

We can first multiply our expression by 12 inches = 1 foot. To do this, we can set one number as the divisor and one as the dividend, e.g. 12 inches /  1 foot. However, to figure out which number should be the numerator/denominator, we first must examine our original expression. We want to multiply it by a value that cancels something out in conversion. To do this, we can have the same unit of something in the numerator in one and the denominator in the other in terms of what we're multiplying. Here, we can see that [tex]\frac{720 in}{1}[/tex] has inches on the top, so we want inches on the bottom in 12 inches = 1 foot. Therefore, we have

[tex]\frac{720 in}{1} * \frac{1 foot}{12 inches}[/tex]

= [tex]\frac{720feet}{12}[/tex]

= 60 feet

= [tex]\frac{60 feet }{1}[/tex]

We have feet as the numerator, so we want feet in the denominator in what we're multiplying this by. In 3 feet = 1 yard, we can multiply this to get

[tex]\frac{60 feet }{1} * \frac{1 yard}{3 feet} \\= \frac{60 yards}{3}[/tex]

= 20 yards

Answer:

Step-by-step explanation:

(ii) right angle becuase perpendicular

iv) congruent because <b=<a (opp ang in isc.tria. is equal)

since ΔADC ≅ Δ BDC, AB=BD

Hi

Income tax is  progressive

So with  50 000  we have  :  

0.02*3000 + 0.03 ( 5000 -3001) + 0.05 ( 17 000-5001) + 0.0575 ( 50 000 - 17 001) =  60+ 59.97+599.95 + 1897.44 =  2617.36

tax is = 2617.36

Answer:

C

Step-by-step explanation:

Plug each ordered pair into the equation

A: 4 = 3(-1)-1

4=-3-1

This is false

B: 2= 3(-1)-1

2=-3-1

This is false

C: -4 = 3(-1)-1

-4=-3-1

This is true

Answer:

4 ther are 4 line symmetery

Answer:

two lines of symmetry

(a vertical and a horizontal)

Answer:a0 = 40 mg

a1 = 20 mg  after 28 years

a2 = 10 mg  after another 28 years

Step-by-step explanation:Set this up as

10 = 40 (1/2)t/28

and solve for t in years.

10/40 = (1/2)t/28

log(0.25) = (t/28) log(0.5)

t = 28 log(0.25) / log(0.5) years = 56 years

Answer:

40 mg

Step-by-step explanation:

10 = 40 (1/2)t/28   and solve for t in years.   10/40 = (1/2)t/28   log(0.25) = (t/28) log(0.5)   t = 28 log(0.25) / log(0.5) years = 56 years

Answer:

5(3x+4y)

Step-by-step explanation:

Answer:

57

Step-by-step explanation:

When mona was 10, her brother was half her age, so he was 5 years old.

That means that Mona is 5 years older than her brother

If mona is 57, that means that her brother is 52 years

5 years later is 52+7 so her brother will be 57

Answer:

I think the Correct answer is no A.

Answer:

535525-62635-$6#62626636$66$6$63663636$6$62

brainly is dustbin

Answer:

30

Step-by-step explanation:

15+5²÷5×3

PEMDAS says exponents first

15+25÷5×3

Then multiply and divide from left to right

15+5×3

15+15

Then add

30

Answer:

30

Step-by-step explanation:

15+5²÷5×3

15 + 25 ÷ 5 x 3

15 + 5 x 3

15 + 15

= 30

9514 1404 393

Answer:

  5/9

Step-by-step explanation:

  [tex]\dfrac{4\text{ L}}{7.2\text{ L}}=\dfrac{40}{72}=\dfrac{5\cdot8}{9\cdot8}=\boxed{\dfrac{5}{9}}[/tex]

Answer:

1 : 5

Step-by-step explanation:

So 50mL is for thye concentrate then the rest is water which means the water is 300mL - 50mL = 250mL of water.

Ratio of concrentrate to water = 50mL: 250mL

To write a ratio you first write down the one stated first then the other one.

50mL : 250mL CAN BE SIMPLIFIED. This is done by dividing both parts by the highest common factor which is 50.

It then becomes 1 : 5.

HOPE THIS HELPED

Let side be a

We know

[tex]\\ \sf\longmapsto Area=(side)^2[/tex]

[tex]\\ \sf\longmapsto a^2=111[/tex]

[tex]\\ \sf\longmapsto a=\sqrt{111}[/tex]

[tex]\\ \sf\longmapsto a=10.3units[/tex]

Answer:

I guess the the correct answer is D

Answer:

y=2/3x - 5

Step-by-step explanation:

Since we have the slope and a point, we can make an equation in point intercept form (y=mc+b) by using the point slope form formula (y-y1)=m(x-x1), where (x1,y1) is the point you plug in.

(y-y1)=m(x-x1)

m=2/3

y1=-3

x1=3

y- -3=2/3(x-3)

y+3=2/3(x-3)

Distribute 2/3 with (x-3) by multiplying

y+3=2/3x - 2

Subtract 3 from both sides

y=2/3x - 5

(A) f(x) = 7 is constant, so f(x + h) = 7, too, which makes f(x + h) - f(x) = 0. So f'(x) = 0.

(B) f(x) = 5x + 1   ==>   f(x + h) = 5 (x + h) + 1 = 5x + 5h + 1

==>   f(x + h) - f(x) = 5h

Then

[tex]\displaystyle f'(x) = \lim_{h\to0}\frac{5h}h = \lim_{h\to0}5 = 5[/tex]

(C) f(x) = x ² + 3   ==>   f(x + h) = (x + h)² + 3 = x ² + 2xh + h ² + 3

==>   f(x + h) - f(x) = 2xh + h ²

[tex]\implies\displaystyle f'(x) = \lim_{h\to0}\frac{2xh+h^2}h = \lim_{h\to0}(2x+h) = 2x[/tex]

(D) f(x) = x ² + 4x - 1   ==>   f(x + h) = (x + h)² + 4 (x + h) - 1 = x ² + 2xh + h ² + 4x + 4h - 1

==>   f(x + h) - f(x) = 2xh + h ² + 4h

[tex]\implies \displaystyle f'(x) = \lim_{h\to0}\frac{2xh+h^2+4h}h = \lim_{h\to0}(2x+h+4) = 2x+4[/tex]

18/24, 20/24

Step-by-step explanation:

3/4=?/24

5/6=?/24

3X6=18

4X6=24

5X4=20

6X4=24

Answer:

7/8 = 21/24

5/6 = 20/24

3/4 = 18/24

Step-by-step explanation:

What you do to the denominator, you do the same to the numerator.

[tex]\frac{7}{8} * \frac{3}{3} = \frac{21}{24}[/tex]

[tex]\frac{5}{6} * \frac{4}{4} = \frac{20}{24}[/tex]

[tex]\frac{3}{4} * \frac{6}{6} = \frac{18}{24}[/tex]

Answer:

78,073

Step-by-step explanation:

Subtract 8,420 from 86,493...86,493-8,420=78,073 is the answer

Double check by using inverse operations...78,073+8,420=86,493

It is correct, as I ended up with 86,493, the starting number of the equation.

Answer:

(0,-2), (-2,-10), (4,14), (-3,-14)

Step-by-step explanation:

y(0)=-2, y(-2)=-10, y(x) = 14 so x=16/4=4, y(x) = - 14, x=-12/4=-3.

Answer:

3 2/3 servings

Step-by-step explanation:

Take the total amount of strawberries and divide by the number of strawberries in a serving.

11/12÷ 1/4

Copy dot flip

11/12 * 4/1

Rewriting

11/1 * 4/12

11/1 *1/3

11/3

Changing to a mixed number

3 2/3 servings

☆No of servings =Total strawberries weight/Per servings weight

[tex]\\ \sf\longmapsto \dfrac{11}{12}\div \dfrac{1}{4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{11}{12}\times \dfrac{4}{1}[/tex]

[tex]\\ \sf\longmapsto \dfrac{11(4)}{12}[/tex]

[tex]\\ \sf\longmapsto \dfrac{44}{12}[/tex]

[tex]\\ \sf\longmapsto \dfrac{11}{3}[/tex]

Answer:

3/4

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

3/4

Check with the third and second terms

9/4 ÷3

9/4 *1/3= 3/4

The common ratio is 3/4

Answer:

$3.20

Step-by-step explanation:

Divide the number 16 (as in the cost per Jacket) by 5. (The amount of shirts you could buy with $16)

Then once you have divided 16 by 5, your answer should be 3.2, so the cost of one shirt is $3.20

Water drunk by Bobby in 10 hours = 5 units

So, water drink by Bobby in 1 hour

= 5/10 units

= 1/2 units

= 0.5 units

Answer:

1/2 water

Step-by-step explanation:

We can use a ratio to solve

5 waters        x waters

-----------   = ------------

10 hours             1 hours

Using cross products

5*1 = 10 *x

5 = 10x

Divide by 10

5/10 = x

1/2 waters =x

Answer:

3 +4 i

Step-by-step explanation:

x + sqrt(yz)

Let x = 3 y=2  and z = -8

3 + sqrt(2*-8)

3+ sqrt(-16)

3 + sqrt(16) sqrt(-1)

We know sqrt(-1) = i

3 +4 i

Answer:

Step-by-step explanation:

(-1) × 1 = -1

Answer:

-1

Step-by-step explanation:

anything times 1 =1. except 0.