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jasenka [17]
2 years ago
7

Mrs. Austin teaches forty-eight students. One-third of her students are out sick with the flu. How many students are sick?

Mathematics
1 answer:
Aneli [31]2 years ago
8 0
16 of the students are sick. How I got this was, divide 48 by 3 and you get 16 therefore 1/3 of 48 is 16.
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ABC= ADC, BA= 25, DA=
geniusboy [140]

Answer:

DA = 25

Step-by-step explanation:

Given that,

→ ABC = ADC ==> (1)

→ BA = 25 ==> (2)

From the given (1) and (2),

→ BA = DA

→ BA = 25

→ [ DA = 25 ]

Hence, the answer is 25.

4 0
1 year ago
Kendra is building a back yard fence two of the sides are 43ft, and the other two sides are 57ft. How much fencing does Kendra n
wel

Answer: 200ft

Step-by-step explanation:

43+43+57+57=200

7 0
3 years ago
Read 2 more answers
What is the solution set to log8(4x + 2) + 4 ≥ 5?
Oksanka [162]
Your answer is A

distribute the 8 to the 4x and 2 which gives you
=32x + 16 + 4 >_ 5
now you need to add the 16 and the 4
which leaves you with
=32x + 20 >_ 5
then subtract the 20 from both sides
then you have
=32x >_ -15
then divide 32 from both sides with gives you
x>_ -15/32 or x>_ -0.5
5 0
3 years ago
Read 2 more answers
use the order of operations to simplify this expression. exspress your answer in the simplest form. 1/4 + 1/2 ÷ 2/8​
elixir [45]

Answer:

9/4

Step-by-step explanation:

This is quite simple you do 1/2 divided by 2/8 which will become multiplication. Then its that number plus 1/4

you get a answer of

9/4 in fraction form

2.25 in decimal form

2 1/4 in mixed fraction form

7 0
2 years ago
On rainy days, Izzy goes from his house to the school by running 1.2 miles on West St, then makes a 90º turn and runs 0.5 miles
OlgaM077 [116]

Answer:

a) It will take Izzy 0.226 hours = 13.6 minutes = 13 minutes 36 seconds to run to school on dashed days.

b) Izzy runs 1.30 miles on dry days.

c) Izzy saves 3 minutes and 12 seconds cutting through the woods.

Step-by-step explanation:

This problem can be solved by a simpe rule of three problem.

a) On rainy days, she runs 1.2 + 0.5 = 1.7 miles.

The problem states that for rainy days, she runs 7.5 miles per hour. We know that in a hour, Izzy will run 7.5 miles. We want to know how long it takes for her to run 1.7 miles. So

1 hour - 7.5 miles

x hours - 1.7 miles

7.5x = 1.7

x = \frac{1.7}{7.5}

x = 0.226 hours

It will take Izzy 0.226 hours = 13.6 minutes = 13 minutes 36 seconds to run to school on dashed days.

b) Now we have a right triangle, where the sides are the 1.2 miles and the 0.5miles, and the path through the woods x is the hypotenuse.

So, we apply the pythagorean theorem.

x^{2} = (1.2)^{2} + (0.5)^{2}

x^{2} = 1.44 + 0.25

x^{2} = 1.69

x = 1.30

So, Izzy runs 1.30 miles on dry days.

c) The first step for this question is knowing how long it takes for Izzy to run 1.30 miles at 7.50 miles a hour. So:

1 hour - 7.50 miles

x hours = 1.30 miles

7.50x = 1.30

x = \frac{1.3}{7.5}

x = 0.173 hours

So, it takes Izzy 0.173 hours = 10.4 minutes = 10 minutes 24 seconds to run through the woods.

13' 36''

-10' 24''

3' 12''

Izzy saves 3 minutes and 12 seconds cutting through the woods.

5 0
3 years ago
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