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morpeh [17]
3 years ago
14

Darcy went shopping.She got 4 new shirts,3 pairs of pants, and 2 pairs of shoes. How many different outfits can Darcy put togeth

er with her new shirts,pants,shoes?
A. 6
B. 12
C. 11
D. 9
E. 24
Mathematics
2 answers:
Llana [10]3 years ago
4 0
4 shirts.
3 PAIRS of pants.
2 PAIRS of shoes.


So, 4+3+2=9.
D. is the answer.
zhuklara [117]3 years ago
3 0
You multiply 4 x 3 x 2 and you get the answer 24
You might be interested in
The function C(x) = x 2 + 78 x + 29 models the cost, in hundreds of dollars, to produce x thousand pens. Find and interpret C(0)
VashaNatasha [74]

Answer:

Step-by-step explanation:

Given the function C(x) = x 2 + 78 x + 29 models the cost, in hundreds of dollars, to produce x thousand pens, we are to interpret C(0), C(2) and C(4).

For C(0), we are to substitute x = 0 into the given function;

C(0) = 0²+78(0)+29

C(0) = 0+0+29

C(0) = 29

Since the cost C(x) is in hundreds of dollars, C(0) = 2900

<em>C(0) means that the cost of producing 0 thousand pen is $2,900</em>

For C(2), we are to substitute x = 2 into the given function;

C(2) = 2²+78(2)+29

C(2) = 4+156+29

C(2) = 189

Since the cost C(x) is in hundreds of dollars, C(2) = 189*100 = $18900

<em>C(2) means that the cost of producing 2 thousand pens is $18,900</em>

For C(4), we are to substitute x = 4 into the given function;

C(4) = 4²+78(4)+29

C(4) = 16+312+29

C(4) = 357

Since the cost C(4) is in hundreds of dollars, C(4) = 357

<em>C(4) means that the cost of producing 4 thousand pens is $35,700</em>

<em></em>

6 0
3 years ago
A local improvement store sells different sized of storage sheds. The most expensive shed has a footprint that is 15 feet wide b
Mekhanik [1.2K]

Answer:

Question 1: Are the footprints of the two sheds similar?

  • <u>Yes, the two sheds are similar.</u>

Question 2: Tell whether the footprint of the least expensive shed is an enlargement or a reduction,

  • <u>It is a reduction</u>

Question 3: Find the scale factor from the most expensive shed to the least expensive shed

  • <u>The scale factor is 3/2</u>

Explanation:

Question 1: Are the footprints of the two sheds similar?

The<em> footprints</em> of the two sheds will be <em>similar</em> if their measures are proportional.

The ratio of the measures of the<em> footprint of the most expensive shed</em> is:

  • width/length = 15 feet / 21 feet = 5 / 7

The ratio of the measures of the <em>footprint of the least expensive shed</em> is:

  • width/length = 10 feet / 14 feet = 5 / 7

Since, the two ratios are equal, you conclude that the corresponding dimensions are proportional and the two sheds are similar.

Question 2: Tell whether the footprint of the least expensive shed is an enlargement or a reduction.

A <em>reduction</em> is a similar transformation (the image and the preimage are similar)  that maps the original figure into a smaller one.

Since the dimensions of the foot print of the least expensive shed, 10 feet wide by 14 feet long, are smaller than the dimensions of the most expensive shed, 15 feet wide by 21 feet long the you conclude that the former is a reduction of the latter.

Question 3: Find the scale factor from the most expensive shed to the least expensive shed.

To find the <em>scale factor from the most expensive shed to the least expensive shed</em>, you divide the measures of the corresponding dimensions. You can do it either with the widths or with the lengths.

Using the widths, you get:

  • width of the foot print of the most expensive shed / width of the foot print of the least expensive transformation

  • 15 feet / 10 feet = 3/2.

That means that the scale factor from the most expensive shed to the least expensive shed is 3/2.

Using the lenghts, you should obtain the same scale factor:

  • length of the foot print of the most expensive shed / length of the foot print of the least expensive transformation

  • 21 feet / 14 feet = 3/2. Such as expected.
6 0
3 years ago
Estimate show how you estimated 412 divided by 97
nataly862011 [7]
<span>the division of 412 divided by 97 can be estimated as:

412 can be estimated  as: 400
97 can be estimated to 100

so, now on dividing 400/100 we get, the answer as 4.

To verify the estimation: when 412 is divided by 97, the answer is 4.24 which can be nearly written as 4 only.

Thus, our estimation was correct.</span>
8 0
4 years ago
Which is not a true statement about the figures shown below
harkovskaia [24]

Answer:That is no thing shown below

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
4. In the adjoining figure, ABCD is a
Marizza181 [45]

The missing figure is attached

(i) m∠APB = 90° ⇒ proved

(ii) AD = DP and PB = PC = BC ⇒ proved

(iii)  DC = 2 AD ⇒ proved

Step-by-step explanation:

ABCD is a  parallelogram in which:

  • m∠A = 60°
  • The bisectors of ∠A and ∠B meet DC at P

In parallelogram ABCD:

∵ m∠A = m∠C ⇒ opposite angles

∵ m∠A = 60°

∴ m∠C = 60°

∵ m∠A + m∠B = 180 ⇒ two adjacent supplementary angles

∴ 60 + m∠B = 180 ⇒ subtract 60 from both sides

∴ m∠B = 120°

∵ m∠B = m∠D ⇒ opposite angles

∴ m∠D = 120°

∵ AP is the bisector of angle A

- That means AP divide ∠A into two equal parts

∴ m∠BAP = m∠DAP = \frac{1}{2} m∠A

∴ m∠BAP = m∠DAP = \frac{1}{2} (60°)

∴ m∠BAP = m∠DAP = 30°

∵ BP is the bisector of angle B

- That means BP divide ∠B into two equal parts

∴ m∠ABP = m∠CBP = \frac{1}{2} m∠B

∴ m∠ABP = m∠CBP = \frac{1}{2} (120°)

∴ m∠ABP = m∠CBP = 60°

(i)

In ΔAPB

∵ m∠BAP = 30° ⇒ proved

∵ m∠ABP = 60° ⇒ proved

- Sum of the measures of the interior angles in a Δ is 180°

∴ m∠APB + m∠BAP + m∠ABP = 180°

∴ m∠APB + 30 + 60 = 180

- Add like terms in the left hand side

∴ m∠APB + 90 = 180

- Subtract 90 from both sides

∴ m∠APB = 90°

(ii)

In Δ ADP:

∵ m∠D = 120° ⇒ Proved

∵ m∠DAP = 30° ⇒ proved

- Sum of the measures of the interior angles in a Δ is 180°

∴ m∠APD + m∠DAP + m∠D = 180°

∴ m∠APD + 30 + 120 = 180

- Add like terms in the left hand side

∴ m∠APD + 150 = 180

- Subtract 150 from both sides

∴ m∠APD = 30°

∵ m∠DAP = m∠APD = 30°

- If two angles in a triangle are equal in measures, then the triangle

  is isosceles

∴ Δ ADP is an isosceles triangle

∴ AD = DP

In Δ BPC:

∵ m∠PBC = 60° ⇒ proved

∵ m∠C = 60° ⇒ proved

- Sum of the measures of the interior angles in a Δ is 180°

∴ m∠BPC + m∠PBC + m∠C = 180°

∴ m∠BPC + 60 + 60 = 180

- Add like terms in the left hand side

∴ m∠BPC + 120 = 180

- Subtract 120 from both sides

∴ m∠BPC = 60°

∵ m∠PBC = m∠C = m∠BPC = 60°

- If the three angles of a triangle are equal in measure, then

  the triangle is equilateral

∴ Δ BPC is an equilateral triangle

∴ PB = PC = BC

(iii)

∵ AD = BC ⇒ opposite sides in parallelogram

∵ AD = DP ⇒ Proved

- Equate the two right hand sides of AD

∴ BC = DP

∵ BC = PC

- Equate the right hand sides of BC

∴ DP = PC

∵ DC = DP + PC

∵ DP = AD

∴ PC = AD

- Substitute DP by AD and PC by AD in CD

∴ CD = AD + AD

∴ DC = 2 AD

Learn more:

You can learn more about parallelogram in brainly.com/question/6779145

#LearnwithBrainly

6 0
4 years ago
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