Mr. Muehlenweg S class used 1 3/4 cups baking soda for an experiment. If his students performed the experiment 6 1/2 times, how much baking soda did they use?

Answers

Answer 1

Total  no. of cups of baking soda used for the experiment in improper fraction is [tex]\frac{91}{8}[/tex].

How much baking soda was used?

Initial no. of cups of baking soda used for an experiment = [tex]1\frac{3}{4}[/tex]

Converting mixed fraction to improper fraction,

[tex]1\frac{3}{4}=\frac{7}{4}[/tex]

No. of times the experiment performed by students = [tex]6\frac{1}{2}[/tex]

Converting mixed fraction to improper fraction,

[tex]6\frac{1}{2} = \frac{13}{2}[/tex]

Total  no. of cups of baking soda  =(Initial no. of cups)* (No. of times)

                                                        [tex]=\frac{7}{4} *\frac{13}{2} \\\\=\frac{91}{8} \\\\[/tex]

                                                        = 11.4 (decimal form)

What is a mixed fraction?A mixed fraction is one that has both its quotient and remainder represented. A mixed fraction like [tex]1\frac{3}{4}[/tex]  is one where the remainder is 3 and the quotient is 1. Therefore, a mixed fraction is made up of both a full number and a correct fraction. A whole number and a legal fraction are both expressed together as a mixed number.A number between any two whole numbers is typically represented by it. Any fraction whose numerator exceeds or is equal to its denominator is considered improper. When the numerator value is less than the denominator, the fraction is said to be proper.                              

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Related Questions

Sam's height is 15 centimeters less than 2 times Martha's height. If Sam is 185 centimeters tall, and Martha's height is x, the relationship between the heights can be represented by the equation 2x − 15 = 185. What is Martha's height?
A.
90
B.
95
C.
100
D.
105

Answers

Answer:

C

Step-by-step explanation:

S= (2M-15)=185

2m=185+15= 200

m=200÷2= 100cm-C

Jim runs 3 miles in 28 minutes. At the same rate, how many miles would he run in 42 minutes?

Answers

Answer:

9/2 miles or 4.5 miles

Step-by-step explanation:

First lets see how many miles Jim would run in one minute. That would be 3/28 miles in one minute. Than multiply that by 42 and you get 9/2.

Name the postulate or theorem

Answers

Answer:

pythagoras theorem

Step-by-step explanation:

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.

Kelsey gave the cashier $30 to pay for 4 pounds of steak. The cashier gave her $3.12 in change. Each pound of steak cost the same amount. What is the cost in dollars and cents for each pound of steak? A. $26.88 A. , $26.88, , , , , , B. $6.72 B. , $6.72, , , , , , C. $7.50 C. $7.50, D. $8.28

Answers

Answer:

B

Step-by-step explanation:

30-3.12=26.88 divide that by 4 and you get 6.72

Answer:

The Answer is B, $6.72

Step-by-step explanation:

30-3.12= 26.88

26.88÷ 4= 6.72

Sketch the graph using 3 points that belong to it. y = -3x+2

Answers

Answer:

Step-by-step explanation:

Write the expression in standard form.
(8f - 4 + 1g) - (-29 + 7)

Answers

standard form: 8f + g + 18

Suppose that two high school students decide to see if they get the same results as the
researcher. They both do 30 minutes of aerobic exercise and, immediately following the
exercise, take the test. The mean of their scores is = 25.2 seconds, the same as that of the
publication article. It is appropriate to conclude which of the following?​

Answers

Complete question is;

A researcher wishes to determine if aerobic exercise improves mental performance immediately following the exercise. He plans to have high school students participate in 30 minutes of aerobic exercise and then take a standard test of their reasoning skills. Suppose the scores of high school students on this test of reasoning skills immediately after 30 minutes of aerobic exercise follow a Normal distribution with mean μ and standard deviation σ = 4. Suppose also that, in the general population of all high school students, scores on the test of reasoning skills follow a Normal distribution with mean 25 and standard deviation σ = 4. The researcher, therefore, decides to test the following hypotheses.

H0 : μ = 25, Ha : μ > 25

To do so, the researcher has 10,000 high school students do 30 minutes of aerobic exercise and then, immediately following the exercise, take the test. The mean score for these students is = 25.2 and the P-value is less than 0.0001.

It is appropriate to conclude which of the following?

Select one:

A. The researcher has conclusively proved that, for high school students, 30 minutes of aerobic exercise substantially improves mental performance.

B. The researcher has strong evidence that, for high school students, 30 minutes of aerobic exercise substantially improves mental performance.

C. The researcher has moderate evidence that, for high school students, 30 minutes of aerobic exercise substantially improves mental performance.

D. None of the above

Answer:

D. None of the above

Step-by-step explanation:

We see that the researcher wants to test the hypotheses;

Null hypothesis; H0 : μ = 25,

Alternative hypothesis; Ha : μ > 25

Population mean = 25 and standard deviation σ = 4

After testing a sample of 1000 students, he discovered that;

Sample size; n = 1000

Sample mean; x¯ = 25.2

After calculations, he got P-value as less than 0.0001.

Now, he can't make any conclusion or evidence for this research because there is no population mean for the aerobic exercise and also no significance value in the entire question to compare the p-value with.

Thus, none of the options are correct.

HELP ME ASAP find the equation of the line use exact numbers y=_x+_ HELP ME ASAP

Answers

Answer:

The answer would be Y=3X+3 .

Hope it was helpful .

The equation of the line shown in the graph is y = 3x + 3.

What is the equation of line?

The equation of the line shown in the graph is determined by calculating the slope and y - intercept of the line as shown below.

The slope of the line is calculated as follows;

m = Δy / Δx

where;

Δy is change in y valuesΔx is the change in x values

m = ( 9 - 3 ) / (2 - 0 )

m = 6 / 2

m = 3

The  y - intercept of the line is the point where the line intersects y-axis.

c = 3

The general equation of a line is given as;

y = mx + c

So our equation of the line becomes;

y = 3x + 3

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Help me with this please:)

Answers

You’ll have to use pythagoras theorem = a^2+b^2=c^2

15^2 = 225
9^2 = 81

225 - 81 = 144

Square root of 144 is 12

Therefore a = 12m

Answer:

12m

Step-by-step explanation:

a+b=c

a=?

b=9m

c=15m

a+9m×9m=15m×15m

a+81=225

a=225-81

a=144

find its square root

a=12m

what is 5 3/5 divided by 4/5 =

Answers

the answer should be 7

Answer:

7

Step-by-step explanation:

[tex]5 \frac{3}{5} \div \frac{4}{5} [/tex]

[tex]5 \frac{3}{5} = \frac{5 \times 5 + 3}{5} [/tex]

[tex] \frac{25 + 3}{5} = \frac{28}{5} [/tex]

[tex] \frac{28}{5} \times \frac{5}{4} [/tex]

[tex]28 \frac{1}{4} [/tex]

[tex] = 7[/tex]

Help I need a equation

Answers

9514 1404 393

Answer:

  a) y = 3x-1

  b) y = x+5

Step-by-step explanation:

a) We notice the x-values change by 1, so the change in the y-value is the slope. -4 -(-7) = 3 is the change between the first two y-values.

The y-intercept is shown by the ordered pair (0, -1). So, the slope-intercept equation is ...

  y = 3x -1

__

b) We note that the change in x is 2 units, as is the change in y. Then the slope of the function is m = 2/2 = 1. The y-intercept (b) can be found from ...

  b = y -mx

  b = 7 -1·2 = 5

Then the slope-intercept equation is ...

  y = x + 5

PLEASE HELP ASAP REAL ANSWERS ONLY OR WILL BE DELETED! 20 PTS!!

Find the height in centimeters of a square pyramid with a volume of 296 cm3 and a base edge length equal to the height. Give the approximate answer rounded to 2 decimal places.

Answers

Answer:

9.61cm

Step-by-step explanation:

Let height be x thus length will also be x

since the base is a square the width and length are also equal.

volume of pyramid=length×width×height

3

296cm³=x×x×x

3

296×3=x³

888=x³

x= cube root of 888

x=9.61cm

You move down 5 units and right 1 unit. You end at (5,-3). Where did you start?

Answers

Answer:

ff

Step-by-step explanation:

The first term of an arithmetic sequence is 4. The common difference is 8. What is the 25th term of sequence

Answers

Answer:

196

Step-by-step explanation:

T25=4+(25-1)8

=4+192

T25=196

The 25th term of the arithmetic sequence is 196.

The formula that can be used in finding the nth term of an arithmetic sequence will be: = a + (n - 1)d

where,

a = first term = 4

d = common difference = 8

n = number of terms = 25

Therefore, the 25th term of the sequence will be:

= a + (n - 1)d

= 4 + [(25 - 1) × 8]

= 4 + (24 × 8)

= 4 + 192

= 196

The 25th term is 196.

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PLEASE HELP !! ILL GIVE BRAINLIEST !! 100 POINTS

Answers

xwt and vwy, the third one is correct

What is twenty thousand, six hundred two in expanded form?

Answers

Answer:

20,000 + 600 + 2 = 20,602

Step-by-step explanation:

twenty thousand = 20,000

six hundred = 600

two = 2

Take those numbers and add them together. You get 20,602


Does anyone know how to foil the answer ?!

Answers

Answer:

(a+b)(c+d)=a c+a d+b c+b d is the formula

Step-by-step explanation:

Cyndie invests some money at 2% compounded continuously. If after 6 years she has $1691.25,
what was her initial investment?

Answers

Answer:

1500

Step-by-step explanation:

Keisha, Justin, and frank have a total of $86 in their wallets. Justin has 3 times what frank has. Keisha has $6 more than frank. How much does each have? Answer ASAP

Answers

Answer:

Keisha has 22 dollars, Justin has 48 dollars, and Frank has 16 dollars

The first number in a pattern is 10. The pattern follows the rule"multiply by 2 and then add 5," which statement describes all numbers in the pattern?

a. They are multiples of 5
b. The are all multiple of 10
c. They are all even
d. The area all odd

Answers

Answer:

A. They are multiples of 5

Step-by-step explanation:

10 times 2= 20+5= 25

25 times 2= 50+5= 55

55 times 2= 110+5= 115

115 times 2= 230+5= 235

All of them are multiples of 5.

Hope that helped! :)

find values of x an y
4x+y 6x-y

Answers

Answer:

6xy+4x−y

Step-by-step explanation:


A gumball machine consists of a base and a glass sphere. The gumballs are stored in the glass sphere. If each
gumball has a diameter of 1.5 inches, about how many gumballs can be stored in a gumball machine whose glass
sphere measures 10 inches in diameter?

Answers

Answer:

6 gumballs can be stored in the gumball machine.

Step-by-step explanation:

Since a gumball machine consists of a base and a glass sphere, and the gumballs are stored in the glass sphere, if each gumball has a diameter of 1.5 inches, to determine how many gumballs can be stored in a gumball machine whose glass sphere measures 10 inches in diameter, the following calculation must be made:

10 / 1.5 = X

6.666666 = X

Thus, 6 gumballs can be stored in the gumball machine.

Help please will mark brainliest!!!

Answers

Answer:

504

Step-by-step explanation:

A = (.5bh)*6

Plug in your known numbers

A = (.5*12*14)*6

Since there is nothing missing just multiple together and you'll get

an artist is painting a mural on a wall to make sure that the picture is painted accurately to her vision she creates a grid for the wall with each unit measuring a meter in the mural at the second event at 2 to and the event at -2 for the artist plans to fail in the Triangular space between the three events with colored pattern what is the area of the space?​

Answers

5657565 ok ok ok ok ok ok

help. help. help.
no link pls. ​

Answers

Answer:

x + 2, x ≠ -2

Step-by-step explanation:

Note that F(x) = x^2 + 4x + 4 factors into (x + 2)^2, and that we are dividing this by g(x) = x + 2.  The quotient is x + 2, which in this problem has been named h(x).  

The quotient (f/g)(x) is therefore x + 2 EXCEPT that this is not defined at x = -2, because the denominator, x + 2, will be zero there, undefined.

Find the common ratio of the geometric sequence. You must write r=

7640, 764, 76.4, 7.64,

Answers

Answer:

1/10 is the common ratio

simplified is 0.1

mark me brainilest:)

Find a equation of the line that passes through the points (-2,-5) and (4,25) express the final answer in slope - intercept form. PLEASE HELP IM BEING TIMED

Answers

Answer:

y=5x+5

Step-by-step explanation:

to find the slope of the line: 25-(-5)/4-(-2)=30/6=5

so the slope is 5

to find the y-intercept:

y=5x+b

25=5(4)+b (i used the point (4, 25) and plugged in 4 for x and 35 for y)

b=5

so, the equation of the line is: y=5x+5

HELP LOOK AT PHOTO PLEASE

Answers

Answer:

y=60

Step-by-step explanation:

1) Find x

All the interior angles of a triangle add up to 180 degrees. Knowing this, we can construct the following equation:

[tex]180=x+35+25\\180=x+60[/tex]

Subtract 60 from both sides

[tex]180-60=x+60-60\\120=x[/tex]

2) Find y

A straight line has an angle measure of 180 degrees as well. Knowing this, we can construct the following equation:

[tex]180=x+y\\180=120+y[/tex]

Subtract 120 from both sides of the equation

[tex]180-120=y+120-120\\60=y[/tex]

There is also a second way to solve for y: An exterior angle of a triangle is equal to the sum of the opposite interior angles. y, in this case, would be the exterior angle and 35 and 25 degrees would measure the opposite interior angles. To solve for y, we just add 35 and 25, getting us 60 degrees.

I hope this helps!

what’s the solution to

Answers

Answer:

C

Step-by-step explanation:

When we subtract 9 from both sides we get

[tex]|x|\leq -2[/tex].

Now when we get rid of the absolute value sign, we make two inequalities.

This first is [tex]x\leq -2[/tex] and for the second we need to switch the negative sign to a positive sign and flip the [tex]\leq[/tex] to a [tex]\geq[/tex]. This makes the second equation [tex]x\geq 2[/tex].

P.S. The second equation wasn't an option in the answer.


A dairy farmer delivered milk over two days.
On Monday, he used 5 gallons of fuel to drive 40 miles.
• On Tuesday, he drove 120 miles at an average rate of 10 miles per gallon of fuel.
Determine the miles traveled per gallon of fuel on Monday and the number of gallons of fuel used on
Tuesday,

Answers

Answer:

the ans is

Step-by-step explanation:

monday = 40/per gallon

tuesday = 120/per gallon

1) The miles traveled per gallon of fuel on Monday = 4 miles/gallons

2) The number of gallons of fuel used on Tuesday = 12 gallons

What is ratio?

"It is a quotient of two mathematical expressions."

What is average rate?

"The average rate is the total change in output values divided by the change in the input values."

For given situation,

On Monday,

a dairy farmer used 5 gallons of fuel to drive 40 miles.

So, the miles traveled per gallon of fuel would be the ratio of the distance he drove and the fuel used.

the miles traveled per gallon of fuel:

= 20 / 5

= 4 miles/gallon

Therefore, the miles traveled per gallon of fuel on Monday = 4 miles/gallons

On Tuesday,

he drove 120 miles at an average rate of 10 miles per gallon of fuel.

Let he used 'x' gallons of fuel.

⇒ 10 = 120/x

⇒ 10 × (x) = 120

⇒ x = 120/10

⇒ x = 12 gallons

Therefore, he used 12 gallons of fuel on Tuesday.

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