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3 years ago

Which equation represents the line shown?

Mathematics

1 answer:

zalisa [80]3 years ago

7 0

The answer is letter C. Because the y-intercept which is -2 and the slope is negative(which it should go down 2 steps). Originally the slope is rise over run which is 2/4 simplified as 1/2 or -1/2.

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A shipping service restricts the dimensions of the boxes it will ship for a certain type of service. The restriction states that

Igoryamba

Answer:

w =< 70

(width is less or equal to 70 inches)

Step-by-step explanation:

Let l = length, w = width, h = height

Restrictions given in this question:

'sum of perimeter of the base and the height cannot exceed 130 inches'

perimeter of the base is 2 width and 2 length of the box

perimeter = 2w + 2l

Therefore, inequality involves here is

2w + 2l + h =< 130

(Note that =< here means less or equal)

Then a new condition given with

height, h = 60 in

and length is 2.5 times the width

l = 2.5w

Substitute this new condition into the equation will give us the following:

2w + 2(2.5w) + 60 =< 130

2w + 5w + 60 =< 130

7w + 60 =< 130

7w =< 130-60

7w =< 70

w =< 10

4 0

3 years ago

A hungry elf ate 30 of your muffins. that was 5/8 of all of them! how many are left?

Lilit [14]

There18 muffins left

4 0

3 years ago

Can someone help.

r-ruslan [8.4K]

Answer:

m∠C = 38° (nearest whole number).

Step-by-step explanation:

To find the missing angle, use the Sine Rule.

<u>Sine Rule</u> (for angles)

$\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}$

where:

A, B and C are the angles
a, b and c are the sides opposite the angles

Given:

A = 53°
a = 18
c = 14

To find m∠C, substitute the given values into the formula and solve for C:

$\implies \sf \dfrac{\sin 53^{\circ}}{18}=\dfrac{\sin C}{14}$

$\implies \sf \sin C= \dfrac{14 \sin 53^{\circ}}{18}$

$\implies \sf C= \sin^{-1} \left( \dfrac{14 \sin 53^{\circ}}{18}\right)$

$\implies \sf C= 38.40096301...^{\circ}$

Therefore, m∠C = 38° (nearest whole number).

Learn more about the sine rule here:

brainly.com/question/27089170

brainly.com/question/27704834

5 0

2 years ago

Which is greater 0.345 or 0.333

Setler79 [48]

Answer:

0.345 is greater than 0.333

Step-by-step explanation:

If you go down the line of numbers the first two numbers match but then you get a 4 and 3. 4 is greater then 3 so 0.345 is greater than 0.333

8 0

3 years ago

The bike store marks up the wholesale cost of all of the bikes they sell by 30%.

aev [14]

Answer:

A ) The money which Andre pay for the bike is $ 67.30

B ) The money which Andre pay for the bike is $ 76.92

Step-by-step explanation:

Given as :

The wholesale cost or market price of the bike = m.p = $ 96.15

A ) The discount percentage = 30 %

Let The selling price of the bike after discount = s.p

Now ,

Discount % = $\dfrac{m.p - s. p }{m . p}$

or, 30 % = 1 - $\dfrac{s. p }{m . p}$

or, $\dfrac{30 }{100}$ = 1 - $\dfrac{s. p }{96.15}$

Or, $\dfrac{s. p }{96.15}$ = 1 - $\dfrac{30 }{100}$

or, $\dfrac{s. p }{96.15}$ = $\dfrac{100 - 30 }{100}$

Or, $\dfrac{s. p }{96.15}$ = $\dfrac{70}{100}$

Or, s. p = $\dfrac{70}{100}$ × 96.15

∴ s.p = $ 67.305

So, He will pay $ 67.30

Hence The money which Andre pay for the bike is $ 67.30 . Answer

B ) If the bike is discounted by 20 % , let The selling price = s.p'

So,

Discount % = $\dfrac{m.p - s. p }{m . p}$

or, 20 % = 1 - $\dfrac{s. p' }{m . p}$

or, $\dfrac{20 }{100}$ = 1 - $\dfrac{s. p' }{96.15}$

Or, $\dfrac{s. p' }{96.15}$ = 1 - $\dfrac{20 }{100}$

or, $\dfrac{s. p' }{96.15}$ = $\dfrac{100 - 20 }{100}$

Or, $\dfrac{s. p' }{96.15}$ = $\dfrac{80}{100}$

Or, s. p' = $\dfrac{80}{100}$ × 96.15

∴ s.p' = $ 76.92

So, He will pay $ 76.92

Hence The money which Andre pay for the bike is $ 76.92 . Answer

7 0

3 years ago