Given that HCF (306,657) = 9, find LCM (306,657)​

Answer:

$600

Step-by-step explanation:

2500+625+625+2500=6250

625/6250=.10 or 10%

6000 x .10=600

Store B should be apportioned $600 of the shared $6000 security costs.

To apportion the shared $6000 security costs to each store based on their square footage, we need to calculate the total square footage of all the stores and then determine the proportion of each store's square footage to the total square footage.

[tex]Total square footage = 2500ft^2 (Store A) + 625ft^2 (Store B) + 625ft^2 (Store C) + 2500ft^2 (Store D)[/tex]

[tex]Total square footage = 6250ft^2[/tex]

Now, let's calculate the proportion of Store B's square footage to the total square footage:

[tex]Proportion of Store B = Square footage of Store B / Total square footage\\Proportion of Store B = 625ft^2 / 6250ft^2[/tex]

Now, find the proportion in decimal form:

[tex]Proportion of Store B = 625 / 6250\\Proportion of Store B = 0.1[/tex]

To determine the portion of the security costs for Store B, multiply its proportion by the total security costs:

Portion of security costs for Store B = Proportion of Store B * Total security costs

[tex]Portion of security costs for Store B = 0.1 * $6000\\Portion of security costs for Store B = $600\\[/tex]

Therefore, Store B should be apportioned $600 of the shared $6000 security costs.

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Answer:

40/5 = 8 per hour

Hope this helped :)

Answer:

A

Step-by-step explanation:

basta letter A sagot dyan

Answer:

Range = 30

Mode = 80

Median = 90

mean = 87

Answer:

100+15p < 25p

Step-by-step explanation:

Note that

> means greater than

< means less than

≥ means greater than or equal to  

≤ less than or equal to  

total cost of travelling = cost to rent a bus + total cost of ticket for p persons

100 + 15p

they want to spend less than an average cost of 25 per p people

they want to spend less than 25p

since they dont want to spend less than 25p, < would be used

100+15p < 25p

Answer:

B. substitute for X in first equation

Answer:

60

Step-by-step explanation:

straight lines are 180

since all lines are parallel

180 - 120 = 60

For the given set of parallel lines measurement of angle 2 is equals to 60degrees.

" Parallel lines are defined as coplanar lines which do not intersect in the same plane. They are equidistant from each other in the same plane."

According to the question,

Given,

Line 'n' is parallel to line 'm'

Line 's' is parallel to line 't'

As diagram drawn we have,

AB is a part of line 'n'

BC is a part of line 't'

CD is a part of line 'm'

DA is a part of line 's'

From this we get,

AB parallel to CD

BC parallel to DA

Therefore,

ABCD is a parallelogram.

Opposite angles in a parallelogram are congruent we have,

∠1 ≅∠3 = 120°

∠2 and ∠3 are supplementary angles.

⇒∠2 + ∠3 = 180°

⇒∠2 + 120° = 180°

⇒∠2 = 180° - 120°

⇒∠2 = 60°

Hence, for given parallel lines measure of angle2 is equals to 60degrees.

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Step-by-step explanation:

Here,

13x - 5 = 11x + 15. [Since corresponding angles are similar in parallel lines]

=> 13x - 11x = 15 + 5

=> 2x = 20

[tex] = > x = \frac{20}{2} [/tex]

=> x = 10 (Ans)

Answer:

56 tests

Step-by-step explanation:

first find the amount of test he took each week. if we divide 12 by 6 (12 ÷ 6 = 2) we find out that he took 2 tests per week.

So if he continues with the same rate for the next 28 weeks of school, in order to find out how many tests he would have taken, we just need to  multiply 28 by 2 (28 × 2 = 56), which will be equal to 56

hope this helps! if you have any questions, let me know!

Answer:

1. 70

2. 65

3. 115

4. 65

5. 65

6. 65

7. 65

Step-by-step explanation:

All of them are correct so dont worry

Have a nice day

Answer:

213

Step-by-step explanation:

(12×11)+(5×6)+(7×6)+(3×3)=132+30+42+9

=213

Answer:

Step-by-step explanation:

Ggg

Answer: Domain: (-inf,inf) Range; [-4,inf)

Step-by-step explanation: Domain is x values possible and range is y values possible. Quadratics always have a domain of (-inf,inf) and the range starts from -4 going up infinitely. and if -4 is included then we use a bracket therefore,  [-4,inf). Also, infinity always has a parenthesis.

Answer:

[tex]3^{10}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then

[tex]3^{8}[/tex] × 3² = [tex]3^{(8+2)}[/tex] = [tex]3^{10}[/tex]

Answer:

No, they cannot be added or subtracted.

Step-by-step explanation:

According to the homogenity of units and dimensions, the quantities of the same units and dimensions are added or subtracted only.

So, the quantities of different units and dimensions can not be added or sutracted.

So,

[tex]cm^2 - cm = notdetremined[/tex]

Answer:

A dot plot titled Number of Books Purchased at Book Fair goes from 1 to 5. 1 has 3 dots, 2 has 2 dots, 3 has 3 dots, 4 has 3 dots, and 5 has 1 dot.

Step-by-step explanation:

The title given to a boxplot will be the values labeled on the horizontal axis, hence since the title of the plot is the number of books purchased at a book fair, If 3 students purchased 4 books, then the Horizontal label at 4 (number of books purchased) will have 3 dots (which corresponds to the number of students who purchased 4 books).

Answer:

a) 9 + 3 = 12

b) 5x = (5 x 6 = 30) 30

c) 2x (2 x 3 = 6) = 13

d) 5x (5 x 2 = 10) = 14 + x (10)

Step-by-step explanation:

I hope it is right

Answer:

a. x=9

b. x=6

c. x=3

d. x=10/4

Answer:

(-7, 3)

Step-by-step explanation:

You already said the point of C is (-5, 2)

Now all we simply do is change the values of each X and Y value respectively.

When moving to the left, the value is subtracted for X.

When moving up the value is added to Y.

-5-2 = -7

2+1 = 3

Answer:

It is going to be -7;3 as I can see on the picture you sent the answer is the first option.

Answer:

x=50.7

Explanation

90+38+x+1.3=180

90+38

Add these numbers

=128

128+x+1.3=180

128+x+1.3

Add these numbers

128+1.3=129.3

129.3+x

129.3+x=180

129.3+x

sort elements

x+129.3=180

129.3

convert this to a fraction

1293/10

x+1293/10=180

x+1293/10=180

Move each term from the right to the left side and change a sign of every element

x+1293/10-180=0

x+1293/10-180

subtract these number

1293/10-180=1293/10-1800/10

=-507/10

x-507/10=0

f (x)=x-507/10

a=1

b=-507/10

x-507/10=0

move each number from the left a the right side and change a sign of every element

x=507/10

therefore x=50.7

Answer:

No

Step-by-step explanation:

For a right triangle, according to the Pythagorean Theorem, the 2 sides squared must equal the hypotenuse squared. ([tex]a^{2} +b^{2} =c^{2}[/tex])

The hypotenuse is the longest side so [tex]13^{2}=169[/tex]

[tex]6^{2}=36\\7^{2}=49[/tex]

36 + 49 does not equal 169

Answer:

A = 13.23 m²

Step-by-step explanation:

A = bh

Where,

A = area of the parallelogram

b = base of the parallelogram

h = height of the parallelogram

From the question, assume

b = 2.1 m

h = 6.3 m

A = bh

= 2.1 m × 6.3 m

= 13.23 m²

A = 13.23 m²

Answer:

540m^3

Step-by-step explanation:

find volume of top + volume of bottom

bottom: l*w*h = 16*5*4 =300 m^3

top = area of side times width = area of triangle times width

area of triangle is 1/2*b*h = (6*16)/2 = 48 m^2

multiply by width = 48*5=240m^3

add top and bottom = 300+240=540m^3

Answer:

The number which is more than 6 and less than 8 is 7.

Step-by-step explanation:

There are the natural numbers.

To find the number which is more than 6 but less than 8.

The numbers which are more than 6 are 7, 8, 9, 10, ....

The numbers which are less than 8 are ...,3, 4, 5, 6, 7

So, the number which is more than 6 and less than 8 is 7.

Answer:

AC = 3.76

Step-by-step explanation:

take 70 degree as reference angle

using sin rule

sin 70 = opposite / hypotenuse

0.939 = AC /4

0.939 * 4 = AC

3.756 = AC

3.76 = AC

Answer:

AC = 3,76

Step-by-step explanation:

Sin70 = AC/AB

Sin 70 = AC/4

AC = Sin70×4

AC = 3,76

Answer:

the correct answer is C.5

Step-by-step explanation:

(5^1/6)^6=5

771.05 m³ is tge answer brudah !!

Answer:

-8.4855

Step-by-step explanation:

[tex]-0,05 \ \cdot \ \sqrt{28800}\\\\ = -0.05 \ \cdot \ 169.71\\\\= -8.4855[/tex]

Step-by-step explanation:

[tex]{x}^{2} - 15x + 26[/tex]

Factorize : What two numbers when added will give - 15 and when multiplied will give 26.

the number is - 13 and - 2

[tex] {x}^{2} - 2x - 13x + 26[/tex]

Factor out x

[tex]x(x - 2) - 13(x - 2) \\ (x - 13)(x - 2)[/tex]

Answer:

(x-13)(x-2)

Step-by-step explanation:

Factoring :

(x-13)(x-2)

[tex]x^2-13x-2x+26[/tex]  combine like terms

Because -13-2 gives you -15 and -13 mutiply -2 gives you positive 26

[tex]x^2-15x+26[/tex]

I hope this helps you

Step-by-step explanation:

Hey there!

Please look your required answer in pictures.

Hope it helps!