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Mnenie [13.5K]
3 years ago
13

Charlotte and Riley walked 6/10 of a mile to school one day, and then after school they walked 3/8 of a mile to the store. From

the store back home was another 2/5 of a mile. How far did the girls walk in all?
Mathematics
1 answer:
IrinaK [193]3 years ago
3 0

Answer: The girls walked 1\dfrac38 miles.

Step-by-step explanation:

Given:  Distance from home to school = \dfrac{6}{10} mile

Distance from school to store = \dfrac38 mile

Distance from store to home = \dfrac25 miles

Total distance = \dfrac6{10}+\dfrac38+\dfrac25

= \dfrac{6\times4+3\times5+2\times8}{40}   [L.C.M.(10,8,5)=40]

= \dfrac{24+15+16}{40}

= \dfrac{55}{40}

= \dfrac{11}{8}=1\dfrac38  miles

Hence, The girls walked 1\dfrac38 miles.

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Is 4y^2 + 9 = -4 a linear equation?
bekas [8.4K]

Answer:

  No.

Step-by-step explanation:

The exponent of y is 2, which is not 1, so the equation is 2nd degree, <em>not linear</em> (1st degree).

6 0
3 years ago
6. You begin work at 8:30 am. You take an unpaid lunch break from 11:45 am to 12:30 pm
STALIN [3.7K]

Answer:

7 hours 15 minutes

7.25 hours

Step-by-step explanation:

Break from 11:45 am to 12:30 pm = 45 minutes

Two 15-minute unpaid coffee breaks during the day = 30 minutes

Total break hours = 45 minutes + 30 minutes

= 1 hour 15 minutes

Total work day hours from 8:30 am to 5:00 pm = 8 hours 30 minutes

How many hours are you paid?

Total hours paid = Total work day hours - Total unpaid break hours

= 8 hours 30 minutes - 1 hour 15 minutes

= 7 hours 15 minutes

b) Express your answer as a decimal in hours only

7 hours 15 minutes as a decimal

15 minutes to hour = 60 minutes/15 minutes

= 1/4

= 0.25 hours

7 hours 15 minutes as a decimal = 7 hours + 0.25 hours

= 7.25 hours

7 0
3 years ago
Area of a triangle is given by the formula A=1/2 bh. The area of the triangle shown to the right is 56 sq. units. Find its base
Westkost [7]
Given

base=2x+6
height=x+4

and
area=56 square units

56=1/2 times (2x+6) times (x+4)
times bot sides by 2
112=(2x+6)(x+4)
expand
112=2x²+14x+24
divide both sides by 2
56=x²+7x+12
minus 56 both sides
0=x²+7x-44
factor
waht 2 numbers mulitply to get -44 and add to get 7
11 and -4
0=(x-4)(x+11)
set to 0

x-4=0
x=4

x+11=0
x=-11
false, measures can't be negative

x=4


height=x+4
height=4+4=8


base=2x+6
base=2(4)+6=8+6=14



x=4 and base=14 and height=8

8 0
3 years ago
Hiran invests 20 000 rupees in an account for 3 years at 1.5% per year compound interest.
svp [43]

Answer:

There will be 20 914 rupees in the amount at the end of 3 years.

Step-by-step explanation:

The amount of rupes after t years in compound interest is given by:

A(t) = A(0)(1+r)^{t}

In which A(0) is the initial amount and r is the interest rate, as a decimal.

Hiran invests 20 000 rupees in an account for 3 years at 1.5% per year compound interest.

This means that A(0) = 20000, r = 0.015. So

A(t) = A(0)(1+r)^{t}

A(t) = 20000(1+0.015)^{t}

A(t) = 20000(1.015)^{t}

Work out the total amount of money in the account at the end of 3 years.

This is A(3). So

A(3) = 20000(1.015)^{3} = 20913.6

Rounding to the nearest rupee.

There will be 20 914 rupees in the amount at the end of 3 years.

8 0
3 years ago
When n basketball uniforms are purchased, the cost, C, of each uniform is given by the equation.
balandron [24]

Answer:

D. Subtraction property of equality; n = 15

Step-by-step explanation:

Given equation that shows the cost of n basketballs uniforms,

C = 40n + 260

According to the question,

Total cost = $ 860,

⇒ 40n + 260 = 860

Using subtraction property of equality, subtract 260 on both sides,

⇒ 40n = 860 - 260

⇒ 40n = 600

Using division property of equality, divide both sides by 40.

⇒ n = \frac{600}{40} = 15.

Hence, 15 uniforms were purchased.

i.e. Option D is correct.

5 0
3 years ago
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