Hassan made a scale drawing of a house and its lot. The scale he used was 1 inch : 10 feet. The backyard is 5 inches long in the drawing. How long is the actual yard?​

Answer:

$8.88

Step-by-step explanation:

5.50+5.50+3.75+3.00=17.75÷2=8.88

Answer:

Its A.

Step-by-step explanation:

Add the price up to find the total: 5.50 + 3.75 + 3 = $12.25. Since there were 2 people and they wanted to split the cost- they pay half half. So 12.25 divided by 2 is $6.12.5 but you gotta round it to get an answer hats there so you round it up to 6.13.

Step-by-step explanation:

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Answer: 32

Step-by-step explanation:

This is an example of an arithmetic sequence as the difference between the first 3 terms is constant. We can see that 4 is constantly being subtracted.

[tex]a_{n}=a+(n-1)d[/tex]  is the formula for an arithmetic sequence.

[tex]a_{n}[/tex] = nth term

a = the first term in the sequence

n = term you are looking for (in this case 45)

d = common difference between the terms (in this case -4)

∴

[tex]a_{n}=a+(n-1)d[/tex]

[tex]a_{45} =208+(45-1)(-4)\\a_{45}=32[/tex]

Answer:

4x+y=-4

Step-by-step explanation:

gradient(m)=y2-y1/x2-x1

the line also passes through points (x,y) and (-2,4)

-4=4-y/-2-x

cross multiplying

8+4x=4-y

option(A):4x+y=-4

is your answer.

The triangle represents delta notation change in y over change in x. the correct option is C.

The pace at which one quantity changes in relation to another quantity is known as the rate of change function. Simply said, the rate of change is calculated by dividing the amount of change in one item by the equal amount of change in another.

The average rate of change is calculated by the formula,

Rate of change = Δy / Δx

Here, the triangle represents the rate of change of the y coordinate with respect to the rate of change of the x coordinate.

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Answer:it’s 72

Step-by-step explanation:

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

let the required number be ' x '

Now, let's form a equation as per the question ~

[tex]\qquad \sf  \dashrightarrow \: - \bigg(\dfrac{ 7}{3} \times 2 \bigg ) + x = \dfrac{3}{7} [/tex]

[tex]\qquad \sf  \dashrightarrow \: - \dfrac{ 14}{3} + x = \dfrac{3}{7} [/tex]

[tex]\qquad \sf  \dashrightarrow \: x = \dfrac{3}{7} + \dfrac{14}{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: x = \dfrac{9 + 98}{21} [/tex]

[tex]\qquad \sf  \dashrightarrow \: x = \dfrac{107}{21} [/tex]

Answer:

50 gold coins

Step-by-step explanation:

5%=5/100

therefore 5% of 1000

=5%×1000

=5/100×1000

final answer would be 50 coins...

Answer:

u ≈ 5.7

Step-by-step explanation:

Using the Sine rule in Δ TUV, that is

[tex]\frac{t}{sinT}[/tex] = [tex]\frac{u}{sinU}[/tex] , substitute values

[tex]\frac{2.5}{sin26}[/tex] = [tex]\frac{u}{sin85}[/tex] ( cross- multiply )

u × sin26° = 2.5 × sin85° ( divide both sides by sin26° )

u = [tex]\frac{2.5sin85}{sin26}[/tex] ≈ 5.7 ( to 1 dec. place )

Answer:

0.102542

Step-by-step explanation:

Given that 9% of customers do not provide a reason, 29% say the item did not fit, 13% find a flaw with the item, and 4% changed their mind about the purchase.

So, the total percentage of items returned due to no reason, unfit, flaw, and due to changing mind

=9%+29%+13%+4%=55%

As the remaining customers returned gifts purchased for them, so, the percentage of customers who returned gifts =100-55=45%.

So, the fraction of customers who returned gifts=45/100=0.45.

Now, observe that if 1 item returned, there is a chance of 0.45 that the item is a gift.

Moreover, there are only two possibilities for any idem, i.e the idem was a gift or not a gift, so the number of total returned items can be considered a Bernoulli's population.

Let p be the probability of a returned item which is the same for all the returned items,

p=0.45

So, according to Bernoulli's theorem, the probability that out of n=40 returns on a given day, r=20 are gifts is

[tex]\binom{n}{r}p^r(1-p)^{n-r}=\binom{40}{20}(0.45)^{20}(1-0.45)^{40-20}[/tex]

[tex]=0.102542[/tex]

Hence, the probability that 20 returned items are gifts among the total 40 returned items is 0.102542.

Answer:

540 miles

Step-by-step explanation:

450/15 = 30

so the car can travel 30 miles per gallon

18*30 = 540

Answer:

540 miles

Step-by-step explanation:

Gallons:     15          18

Miles:        450         x  

450 divided by 15 = 30

18 times 30 = 540

Answer:

3 classmates

Step-by-step explanation:

1/9 = 0.111111...

27 x 1/9 = 3

Answer:

Formula for circumference;

C = 2πr

replace those values

C = 2 x 3.14 x 9

C = 56.52 inches, C

Answer:

The circumference would be 56.52

Step-by-step explanation:

Place your radius into the formula for circumference (C=2πr)

C = 2 × 3.14 × 9

C = 56.52

Answer:

250

Step-by-step explanation:

add all numbers which gives the number

we can see the point ( - 1 ; - 2) on the line

so

f(-1) = - 2

as a point is ( x ; f(x) )

Answer:

f(-1) = -2

Step-by-step explanation:

f(-1) means find the value at x = -1

The y value at x=-1 is -2

f(-1) = -2

Answer:

Patrick's statement is incorrect

Step-by-step explanation:

Crackers come in packages of 24

cheese slices come in packages of 18

He wants one cheese slice for each cracker

Patrick made the statement below "if Andy doesn't want any crackers or cheese slices left over he needs to buy at least 432 of each"

Patrick's statement is incorrect

The lowest common multiple ( L. C. M) of 24 and 18 is 72

Therefore, Andy needs 72 packages of crackers and 72 packages of cheese slice so that no crackers or cheese slice will remain.

Answer:

15

Step-by-step explanation:

x+(x+1)+(x+2)= 48

=)3x+3=48

=)3x=45

X=15

The smallest of the integers would be 15.

The consecutive numbers are those numbers that follow each other continuously in the order from smallest to largest numbers.

Given that the sum of 3 consecutive integers is 48.

We need to find the smallest of the integers.

Let assume the 3 consecutive integers are x, (x+1) and (x+2)

Therefore, x+(x+1)+(x+2)= 48

Combine the like terms;

3x+3=48

3x=45

X=15

Hence, the smallest of the integers would be 15.

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Answer:  B) Angle Y

Step-by-step explanation:

If we rotate the triangle PQR we will get R is correspond to X, Q is correspond to Y, and P is correspond with Z.

Answer:

$25.20

Step-by-step explanation:

18.00 + 40% = 25.20

Answer:

should be (-4,4) and (-4,-4)

Answer:

(-4,4) and (-4,-4) because a function can only have one y value for any x value.

Using proportions, it is found that a tree that casts a shadow 4 ft long is 180 in. tall.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, a fire hydrant that is 30 in. tall and casts a shadow 8 in. long. We want to find the height of a tree that casts a shadow of 4 ft = 4 x 12 = 48 inches. Hence, the rule of three is given by:

30 in - 8 in

h in - 48 in

Applying cross multiplication:

h = 48 x 30/8

h = 6 x 30.

h = 180 in.

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Answer:

$14

Step-by-step explanation:

28/2 = 14

Answer: 58 degrees

Step-by-step explanation:

We can see that this triangle is an isosceles triangle so that means the two bottoms angles will be equal

Point S must be equal to point U

z = 58 degrees

Check if this is true:

Angle sum of a triangle: 180 degrees

58 + 58 = 116

180 - 116 = 64

Point T is 64

58 + 58 + 64 = 180

Answer: see below

Step-by-step explanation:

Hypothesis (p): A triangle is equilateral

Conclusion (q): The side lengths are equal

Conditional (p → q): If a triangle is equilateral, then its side lengths are equal.

The conditional statement is TRUE

Converse (q → p): If the side lengths of a triangle are equal, then it is equilateral.

The converse statement is TRUE

Since p → q   and  q → p are both TRUE, then it is biconditional.

Answer:

B both are proportional

Step-by-step explanation:

so i think by proportional its linear?

so the graph is linear because its a line and its a function, but for the table we first have to find the slope by using the equation

y2 - y1 / x2 - x1

(4, 1.31) and (8, 2.62) will be the points we will use

2.62 - 1.31 / 8 - 4

1.31/4

0.3275x

now i think we use a point we did not use yet sooo (16, 5.24)

we substitute

y = 0.3275x + b

5.24 = 0.3275(16) + b

5.24 = 5.24 + b

b = 0

so the equation would be

y = 0.3275x

now we check with the last point given

6.55 = 0.3275(20) ?

6.55 = 6.55

so i think the answer is both are proportional ?

Answer:

3?

Step-by-step explanation:

3(264621(305613

8829. (101871

The Highest Common Factor of 264627 and 305613 is 891.

The highest common factor (HCF) is found by finding all common factors of two numbers and selecting the largest one.

For example, 8 and 12 have common factors of 1, 2 and 4. The highest common factor is 4.

Given:

264627 and 305613

Now, prime factorizing both number

264627  = 3 x 3 x 3 x 3 x 3 x 3 x 3 x 11 x 11

and, 305613 = 3 x 3 x 3 x 3 x 7 x 7 x 7 x 11

So, the common factors are 3 x 3 x 3 x 3 x 11 = 891

Hence, the HCF is 891.

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Answer:(-1,-8)

Step-by-step explanation:

Answer:

(-1, -8)

step-by-step explanation:

if reflected over x-axis, use the formula: (x, y) → (x, -y)

if translated vertically, there will be change in y axis:

Answer:

26.22 foot

Step-by-step explanation:

The relation between foot and meter is given by :

1 foot = 0.305 meter

We firstly find value of 1 meter in terms of foot.

So,

[tex]1\ m=\dfrac{1}{0.305 }\ \text{foot}[/tex]

To find no of foot in 8 meters, multiply [tex]\dfrac{1}{0.305 }[/tex] by 8 i.e.

[tex]8\ m=\dfrac{1}{0.305 }\times 8\ m\\\\=26.22\ \text{foot}[/tex]

So, there are 26.22 foot in 8 meters.

Answer:

x>1

Step-by-step explanation:

21-7x>14

-7x>-7

x>1

Answer:

x<1

Step-by-step explanation:

7(3-x)>14

21-7x>14

-7x>-7

x<1