MATHEMATICS
MIDDLE SCHOOL

a. If she drives her boat for 2/3 of an hour, will she make it to the best fishing spot in the lake?

b. How long will Ameena need to drive to get to the best fishing spot in the lake? Express your answer in both a portion of an hour and in minutes.

Answer:

Answer:

A. no she will not reach the best spot

b. she will need to drive about 47 minutes to reach the best spot

Step-by-step explanation:

HIGH SCHOOL

A well of diameter 4m is dug 14m deep. The earth taken out is spread evenly all around the well to form a 40cm high embankment. Find the width of the embankment

Answer:

82.72m

Step-by-step explanation:

Volume = πr2h

= 3.142*7*7*14

= 2,155.41m³

Now that we hav the volume of earth, we go on to find the raduis of the spread

2155.41m³ = 3.142*r²*0.4

2155.41m³ = 1.26r²

r² = 1,710.64

r = 41.36m

Width = diameter = 2r = 82.72m

MIDDLE SCHOOL

Simplify -6 (x - 3) - 4 (y +5) + ( -5) (7 -2b)

6x/34a I think I'm not sure

MIDDLE SCHOOL

What are the significant digits in the number 12080

There are a few rules to significant figures. The first is that any non-zero digits count as significant figures, so 1, 2 and 8 are significant figures. Now we have 3 significant figures so far.

(significant figure = sigfig = sf)

There are a few cases in which zero can count as a significant figure. If it is between two non-zero digits, like in 405 (3 sig fig) or in 6074 ( 4 sig fig), so the zero between the 2 and the 8 counts as a significant figure, raising the total of significant figures up to four.

Another case is when a zero is added on the end of a decimal, like in the example 2 (1sf) versus 2.0 (2sf) This is essentially the same as 2, but has 0 added on the end, after the decimal. This zero counts as a significant figure. 12080 has no decimal point, so this does not matter in this example.

The total number of significant figures is 4.

(significant figure = sigfig = sf)

There are a few cases in which zero can count as a significant figure. If it is between two non-zero digits, like in 405 (3 sig fig) or in 6074 ( 4 sig fig), so the zero between the 2 and the 8 counts as a significant figure, raising the total of significant figures up to four.

Another case is when a zero is added on the end of a decimal, like in the example 2 (1sf) versus 2.0 (2sf) This is essentially the same as 2, but has 0 added on the end, after the decimal. This zero counts as a significant figure. 12080 has no decimal point, so this does not matter in this example.

The total number of significant figures is 4.

HIGH SCHOOL

Boris's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Boris $5.45

per pound, and type B coffee costs

$4.20

per pound. This month, Boris made

178

pounds of the blend, for a total cost of

$870.10

. How many pounds of type B coffee did he use?

X=pounds of Type A coffee

y=pounds of Type B coffee

QUANTITY EQUATION:

x+y=178

COST EQUATION:

$5.45x + $4.20y=$870.10

STEP 1:

Solve for one variable in equation one. Then substitute it in equation two.

x+y=178

subtract y from both sides of the equation

x=178-y

STEP 2:

substitute x=178-y in equation two

5.45x + 4.20y=870.10

5.45(178-y) + 4.20y=870.10

multiply 5.45 by everything in parentheses

(5.45*178)+(5.45*-y)+4.20y=870.10

970.10-5.45y+4.20y=870.10

combine like terms

970.10-1.25y=870.10

subtract 970.10 from both sides

-1.25y=-100

divide both sides by -1.25

y=80 pounds of type B coffee

STEP 3:

Substitute y=80 in either equation to solve for x

x+y=178

x+80=178

subtract 80 from both sides

x=98 pounds of type A coffee

ANSWER:

x=98 pounds of type A coffee

y= 80 pounds of type B coffee

CHECK:

Substitute answers for x & y into either equation to be sure it checks.

5.45x+4.20y=870.10

5.45(98)+4.20(80)=870.10

534.10+336=870.10

870.10=870.10

Hope this helps! :)

y=pounds of Type B coffee

QUANTITY EQUATION:

x+y=178

COST EQUATION:

$5.45x + $4.20y=$870.10

STEP 1:

Solve for one variable in equation one. Then substitute it in equation two.

x+y=178

subtract y from both sides of the equation

x=178-y

STEP 2:

substitute x=178-y in equation two

5.45x + 4.20y=870.10

5.45(178-y) + 4.20y=870.10

multiply 5.45 by everything in parentheses

(5.45*178)+(5.45*-y)+4.20y=870.10

970.10-5.45y+4.20y=870.10

combine like terms

970.10-1.25y=870.10

subtract 970.10 from both sides

-1.25y=-100

divide both sides by -1.25

y=80 pounds of type B coffee

STEP 3:

Substitute y=80 in either equation to solve for x

x+y=178

x+80=178

subtract 80 from both sides

x=98 pounds of type A coffee

ANSWER:

x=98 pounds of type A coffee

y= 80 pounds of type B coffee

CHECK:

Substitute answers for x & y into either equation to be sure it checks.

5.45x+4.20y=870.10

5.45(98)+4.20(80)=870.10

534.10+336=870.10

870.10=870.10

Hope this helps! :)

MIDDLE SCHOOL

What is the probability of rolling a dice at most 3 times until a 6 occurs

Answer:

Probablity of getting six in at most three roll= 0.199.

Step-by-step explanation:

Given: Dice rolled at most 3 times untill a 6 occurs.

First, finding the probablity of getting 6 in a dice if rolled once.

Probablity=

We know, dice have six side, therefore, total number of event will be 6.

∴ Probablity of getting six in one roll=

As given, Dice is rolled at most 3 times.

Now, finding the probablity of getting 6 in a dice if rolled 3 times.

∴ Probablity of getting six in three roll=

⇒ Probablity of getting six in three roll=

Taking LCD 216

⇒Probablity of getting six in three roll=

⇒Probablity of getting six in three roll=

∴Probablity of getting six in three roll=0.199

MIDDLE SCHOOL

Is it true that 50 is 1/10 of 500

No because 1/10 of 500 would be in the hundreds not the tens (I could be wrong im a beginner)

No because it's in the tens and 10 is not even close to being a 1 tenth of 500 ...if it were to be in the hundreds then it would probably be true

COLLEGE

Peter sold some stock at $37 per share. This was $9 a share less than twice what she paid for it. What price did she pay for the stock? Please simplify thanks

Suppose she paid x shillings for the shares;

Then;

37+9=2x

46=2x

x=23

She bought each share at 23 dollars

Then;

37+9=2x

46=2x

x=23

She bought each share at 23 dollars

MIDDLE SCHOOL

Add.

Express your answer in simplest form.

5 tenths + 3 tenths = ?

0.5

+0.3

---------

0.8

The answer is 8 tenths

+0.3

---------

0.8

The answer is 8 tenths

ANSWER: 0.5+0.3=0.8 tenths

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Have a wonderful lovely greatest day of you life :) And if you need anymore help feel free to contact me! :D peace out ☮️✌

~Sincerly by, Lookiesat ^ ^

--------------------------------

Have a wonderful lovely greatest day of you life :) And if you need anymore help feel free to contact me! :D peace out ☮️✌

~Sincerly by, Lookiesat ^ ^

MIDDLE SCHOOL

Why would negative numbers not make sense for the values of the variables

Values are positive numbers, and if the numbers were negative there would infinitely be no numbers to be valued.