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Leviafan [203]
2 years ago
14

A town reported that it received 8/12 of a foot of snow on Monday and another 1/12 of a foot of snow on Tuesday. How much fresh

snow did the town receive over the two days?'
Step 1: Identify the question.

Step 2: Look for clues. The word “another” in this problem is a clue to use ______ to solve the problem.

Step 3: Choose a strategy. The expression ______ will give the total amount of snow over the two days. The total amount of snow was _____ of a foot.

Step 4: Check addition with subtraction. If you subtract 1/12 from your final answer, what do you get? ______ of a foot of snow
Mathematics
1 answer:
matrenka [14]2 years ago
6 0

The town received 9/12 of a foot of snow over the two days.

We are aware that adding two whole numbers yields the total amount or sum of the two values. Since the town received 8/12 of a foot of snow on Monday and another 1/12 of a foot of snow on Tuesday, the word “another” in this problem is a clue to use addition to solve the problem. So, the expression 8/12 + 1/12 will give the total amount of snow over the two days.

Now, 8/12 + 1/12 = (8 + 1)/12 = 9/12

i.e. the total amount of snow was 9/12 of a foot.

If we subtract 1/12 from 9/12, we get 9/12 - 1/12 = (9 - 1)/12 = 8/12 of a foot of snow.

We can conclude that the town received 9/12 of a foot of snow over the two days.

Know more about addition and subtraction here -

brainly.com/question/11378236

#SPJ10

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4x/5 + 2/3 + 1x/5 = x
Ksju [112]

Answer:

There are no solutions.

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4x/5+2/3+1x/5=x

4/5x+2/3+1/5x=x

(4/5x+1/5x)+(2/3)=x(Combine Like Terms)

x+23=x

x+23=x

Step 2: Subtract x from both sides.

x+2/3−x=x−x

2/3=0

Step 3: Subtract 2/3 from both sides.

2/3−2/3=0−2/3

0=−2/3

Answer:

There are no solutions.

6 0
3 years ago
Read 2 more answers
The minute hand on an analog clock is 8 inches long. how far does the tip of the minute hand travel in 16 minutes
Dahasolnce [82]
We know that
<span>on an analog clock
60 minutes is equal to a circumference of 360</span>°
so
360/60-----> 6°
that means 
1 minute is equal to --------> 6°
16 minutes----------> X
x=16*6-----> 96°

the length of a circumference=2*pi*r
for r=8 in

the length of a circumference=2*pi*8-----> 50.24 in

if 360° (full circle) has a length of----------------> 50.24 in
  96°---------------------------> x
x=96*50.24/360------> x=13.40 in

the answer is
13.40 in

5 0
3 years ago
Mai wants to make an open top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard
Bumek [7]

Answer:

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

The domain for x is all real numbers greater than zero and less than 5 com

Step-by-step explanation:

<em><u>The question is</u></em>

What is the volume of the open top box as a function of the side length x in cm of the square cutouts?

see the attached figure to better understand the problem

Let

x -----> the side length in cm of the square cutouts

we know that

The volume of the open top box is

V=LWH

we have

L=(10-2x)\ cm

W=(10-2x)\ cm

H=x)\ cm

substitute

V(x)=(10-2x)(10-2x)x\\\\V(x)=(100-40x+4x^{2})x\\\\V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

Find the domain for x

we know that

(10-2x) > 0\\10> 2x\\ 5 > x\\x < 5\ cm

so

The domain is the interval (0,5)

The domain is all real numbers greater than zero and less than 5 cm

therefore

The volume of the open top box as a function of the side length x in cm of the square cutouts is

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

5 0
3 years ago
The line x = k intersects the graph of the parabola x = -2y^2 - 3y + 5 at exactly one point. What is k? Thank you! :)
bearhunter [10]

Answer:

49/8 is the value of k

Step-by-step explanation:

We have the system

x = -2y^2 - 3y + 5

x=k

We want to find k such that the system intersects once.

If we substitute the second into the first giving us k=-2y^2-3y+5 we should see we have a quadratic equation in terms of variable y.

This equation has one solution when it's discriminant is 0.

Let's first rewrite the equation in standard form.

Subtracting k on both sides gives

0=-2y^2-3y+5-k

The discriminant can be found by evaluating

b^2-4ac.

Upon comparing 0=-2y^2-3y+5-k to 0=ax^2+bx+c, we see that

a=-2, b=-3, and c=5-k.

So we want to solve the following equation for k:

(-3)^2-4(-2)(5-k)=0

9+8(5-k)=0

Distribute:

9+40-8k=0

49-8k=0

Add 8k on both sides:

49=8k

Divide both sides by 8"

49/8=k

6 0
3 years ago
Find all numbers whose absolute value is 3 . If there is more than one, separate them with commas. If there are no such numbers,
adelina 88 [10]

Answer:

3, and -3

Step-by-step explanation:

Because absolute value is the distance away from zero, |3| and |-3| would both be 3 units away from 0. Be sure to have the negative on the inside if you're trying to make something positive, otherwise -|3| means that the absolute value of 3 would then become negative since the negative sign isn't a part of the absolute. hope this helps!

3 0
3 years ago
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