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Maksim231197 [3]
2 years ago
10

Three cats and three dogs, A, B, C, D, E, and F, live on a street in three different-coloured houses. Each house hosts one cat a

nd one dog. One house is red. A is a cat and does not live in the red house. B is a dog and does not live in the same house as C (even though they could). D lives in the blue house. D does not live with A or F (even though it could). E does not live with A and does not live in the yellow house.
Indicate whether each letter correspond to a cat or a dog, and match each cat and each dog with a colored house.
Mathematics
1 answer:
vaieri [72.5K]2 years ago
5 0

Answer:

1) A is a cat; B is a dog; C is a cat; D is a dog; E is a dog; F is a cat

2) A lives with B in a yellow house; C lives with D in a blue house; E lives with F in a red house.

Step-by-step explanation:

Step 1: First we identify the animals as cats or dogs

A is a cat

B is a Dog

Since B can live with C, C is a cat

Since D can live with A, D is a dog

F is a cat since it can live with D

E is therefore, a dog

Step 2: We then identify the house each two animals live in pairs of a cat and a dog

D lives in a blue house

A lives in a yellow house since it does not live with D or in a red house

C lives with D in a blue house since D does not live with either A or F

E lives in a red house since it does not live with A or in a yellow house

F lives with E in a red house since E does not live with A

Therefore, B lives with A in a yellow house

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LUCKY_DIMON [66]

Answer:

Step-by-step explanation:

Give the expression ax – c = bx + d, we are isolate x i.e we are to make x the subject of the formula.

ax – c = bx + d

Step 1: subtract bx from both sides

ax – c = bx + d

ax-bx = d+c

Step 2: Factor out x in the left hand side of the resulting expression

x(a-b) = d+c

Step 3: Divide both sides by the coefficient of i.e (a-b)

\frac{x(a-b)}{a-b} = \frac{d+c}{a-b}

x = \frac{d+c}{a-b}

Hence Victoria can justify the step 3 of her work by dividing both sides of the expression in 2 by a-b

4 0
1 year ago
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Habib is making some scones.
sergeinik [125]

Answer:

180^\circ C

Step-by-step explanation:

To convert from degree Fahrenheit to Celsius, we use the formula:

^\circ C=\dfrac{5^\circ F-160}{9}

If Habib's recipe is to be baked at 356 degree Fahrenheit, then we substitute F=356 to obtain an equivalent value in degree Celsius.

\text{Temperature in }^\circ C=\dfrac{5^\circ F-160}{9}\\=\dfrac{5*356-160}{9}\\=\dfrac{1780-160}{9}\\=\dfrac{1620}{9}\\\text{Temperature in }^\circ C=180^\circ C

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2 years ago
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In triangle RST, U is the midpoint of RS, V is the midpoint of ST, and W is the midpoint of TR. Use the triangle diagram to answ
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(1)

we are given

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and we have

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we can plug values

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V is the midpoint of ST

so, we get

SV=VT

now, we can plug values

2x=11

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now, we can find y

W is the midpoint of TR

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RW=WT

we can plug value

15.9=3y

divide both sides by 3

y=5.3

(4)

we can see that

triangles URW and RST are similar

so, their sides ratios must be equal

so, we get

\frac{RW}{RT} =\frac{UW}{ST}

we can plug values

\frac{15.9}{2\times 15.9} =\frac{UW}{2VT}

\frac{15.9}{2\times 15.9} =\frac{UW}{2\times 11}

UW=22\times \frac{15.9}{2\times 15.9}

UW=11...........Answer

(5)

we can see that

triangles SUV and RST are similar

so, their sides ratios must be equal

so, we get

\frac{SU}{SR} =\frac{UV}{RT}

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4 0
1 year ago
A circular pond is to be surrounded by a gravel path. Use the diagram to find the square feet of gravel needed if we know the po
kiruha [24]
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4 0
2 years ago
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Your utility company charges 13 cents per kilowatt-hour of electricity. What is the daily cost of keeping lit a 75 watt light bu
Tresset [83]

we know that

1 Kw=1000 w

The company charges 13 cents per kilowatt-hour of electricity

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Step 1

Find the cost for the light bulb

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\frac{75}{1000} *12=0.9\ kw\  hour

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\frac{75}{1000} *12=0.9\ kw\  hour

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Cost=0.13*328.5

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Step 2

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Step 3

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the answer is

34.17 dollars

3 0
2 years ago
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