Explain how to write and evaluate an algebraic expression that represents the situation. The blueberries were divided equally into six bowls. Evaluate when b = 210.

Answers

Answer 1

The variable is the number of blueberries, the operation is division, and the constant is 6. Write the division expression as the fraction, b/6 . To evaluate, substitute 210 in for the variable, b, and simplify. 210 divided by 6 is 35. So each bowl has 35 blueberries.

Answer 2

The algebraic expression can be written in terms of the variable b and and evaluated as b/6 = 210/6 = 35

According to the question;

The blueberries were divided equally into six bowls;

Hence, the algebraic expressions is;

b/6

where, b = total number of blueberries

Hence, when b= 210

The number of blueberries in each bowl is; 210/6 = 35

Read more on Algebraic expressions;

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Related Questions

Else's math class has 11 female students and 10 male students.Write the ratio of female students to the total number of students in two different ways.

Answers

The detailed answer explains how to write the ratio of female students to the total number of students in two different ways.

The ratio of female students to the total number of students:

11 female students to 21 total students: 11/21

Alternatively, you can simplify the ratio to 1 female student to 2 total students: 1/2

Dani is working a sample booth at the national soda and beverage convention. She is paid $1.50 for each of the first ten tastings $2.50 for each of the next twenty tastings and $4.00 for each tasting beyond thirty she conducts each day. Today Dani conducted 36 tastings. How much total pay did Dani earn today?

Answers

She conducted 36 tastings.

10 tastings are in the category of the first 10 tastings.
10 * $1.50 = $15.00

36 - 10 = 26
Out of the remaining 26 tastings, 20 are int eh category of "the next 20 tastings."
20 * $2.50 = $50.00
This accounts for 10 + 20 = 30 tastings.

36 - 30 = 6
She did 6 tastings beyond the 30 tastings, so for the last 6 tastings, she gets paid
6 * $4.00 = $24.00

The total pay is:
$15.00 + $50.00 + $24.00 = $89.00

What type of angles are 6 and 8?

Answers

These angles are called vertical angles. They will always be equivalent with each other.

These angles are called vertical angles.They will always be equivalent with each other and yes that’s the right answer smart cookie

The formula for the area of a triangle is a=1/2bh. solve the formula for h. a triangle has a base of 7cm and an area of 28cm squared. what us it's height

Answers

28=1/2(7)h
Divide by 7 on both sides giving you
4=1/2h
Multiply by 2 on both sides giving you
h=8
Therefore, the height is 8cm.

Answer: 8 cm

Step-by-step explanation:

Given : The formula for the area of a triangle is [tex]a=\dfrac{1}{2}bh[/tex]

If a triangle has a base of 7 cm and an area of 28 cm squared.

The substitute the values of b = 7 and a = 28 in the above formula, we get

[tex]28=\dfrac{1}{2}(7)h[/tex]

Divide 7 and multiply 2 on on both sides, we get

[tex]h=\dfrac{28\times2}{7}=4\times2=8\ cm[/tex]

Hence, the height of triangle = 8 cm

Luis makes $23.10 per hour at his job for the first 40 hours he works each week. if he works more than 40 hours, then luis makes $34.65 per hour. if luis works 46 hours in one week, how much does he earn?a.$1,062.60b.$1,097.25c.$1,131.90d.$1,593.90

Answers

The answer is $1593.90

Answer:

correct answer is C. Just took the test.

Please do not make into a fraction because I can’t use a fraction as an answer. Rewrite using a negative exponent.
1/(xy)^1

Answers

[tex]\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\ a^{-{ n}} \implies \cfrac{1}{a^{ n}} \qquad \qquad \cfrac{1}{a^{ n}}\implies a^{-{ n}} \qquad \qquad a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}}\\\\ -------------------------------\\\\ \cfrac{1}{(xy)^{+1}}\implies (xy)^{-1}[/tex]

The blade of a circular saw rotates at a rate of \2500 revolutions per minute. what is the linear velocity in miles per hour of a point on the tip of the outer edge of a 7 and one fourth7 1 4 inch diameter blade?

Answers

The answer to this question is 0.276miles for hour

Final answer:

The linear velocity of a point on the tip of the outer edge of the circular saw blade is 0.429 miles per hour.

Explanation:

To find the linear velocity of a point on the tip of the outer edge of the circular saw blade, we can use the formula:

Linear velocity = 2 * π * radius * angular velocity

Where the radius is half of the diameter. Given that the diameter is 7 1/4 inches, the radius is 7 1/4 / 2 = 3 5/8 inches or 3.625 inches. Converting this to feet, we get 3.625 / 12 = 0.302 feet. To convert the angular velocity from revolutions per minute to radians per second, we multiply by 2 * π / 60. Substituting these values into the formula, we get:

Linear velocity = 2 * π * 0.302 * (2500 * 2 * π / 60) = 37.699 feet per minute.

To convert this to miles per hour, we divide by 5280 (since there are 5280 feet in a mile) and multiply by 60 (since there are 60 minutes in an hour):

Linear velocity = (37.699 / 5280) * 60 = 0.429 miles per hour.

The graph of a line goes up and to the right when

Answers

it has a positive slope.

Answer: When the coefficient of X is positive!

The coefficients of the expression 5x^4-4x^2+3 are??

Answers

The coefficients of the expression are 5 and 4 because they have a variable next to them. Hope this helps.

A scatter plot has been created with a line of best fit that matches the equation y = 11x + 340. Using this line of best fit, determine the output value when the input is 10. Do you think this matches a point on the scatterplot? Why or why not?

Answers

For the fist part you simply substitute 10 in for x to the equation to get the corresponding y value

y = 11(10) + 340
y = 110 + 340
y = 450

For the second part of that question, do you think this matches a point on the scatterplot.....more than likely this is a NO, as generally speaking a line of best fit doesn't pass through many of the data points that it uses to create the equation for the line, so I'd say probably not.

Hope this helps.

Brian

I got 450 with the input of the equation I don't have the proper calculator to do the scatterplot

When four basketball players are about to have a free-throw competition, they often draw names out of a hat to randomly select the order in which they shoot. What is the probability that they shoot free throws in alphabetical order? Assume each player has a different name.

P(shoot free throws in alphabetical order) = _____

Answers

The total number of possibilities of drawing their names is given by permutation.

4P4 = 24

The total possibility of drawing their names in alphabetical is only 1.

Therefore the probability is:

P = 1 / 24

P = 0.0417

Therefore there is about 4.17% chance that it will be in alphabetical order

What is 2(6+5•2)=5(4-2•5)

Answers

32=-30
..................................

Answer: Not true

Step-by-step explanation: 2(16)=5(-6)

32=-30

This is not true

willie wants to save for a new racing bike. if he deposits $250 in a saving account at 4% simple annual interest, what willis balance be after 3 years?
A.15
B.30
C.265
D.280

Answers

To find how much he gets a year, we multiply 250 by 0.04. He gets 10 dollars the first year. for year 2, we multiply 260 by 0.04 to get 10.4. Do the same to 270.4 to get 281.22. I'd only have to assume you don't get interest off of interest, so it'd round down to 280.

The formula is
A=p (1+rt)
A future value?
P present value 250
R interest rate 0.04
T time 3years
A=250×(1+0.04×3)
A=280

Hope it helps!

Marla has a pet hamster. The hamster makes 3 laps around her cage every minute.

What line represents the situation?

Line a

Line b

Line c

Line d

Answers

Find the line that goes up three for every one to the right it goes. B is the line that fits the equation.

Let

x-------> the time in minutes

y------> the number of laps

we know that

In this problem the linear equation represent a direct variation and the slope is equal to

[tex]m=3\frac{laps}{minute}[/tex]

the equation of the line is

[tex]y=3x[/tex]

For [tex]x=1\ minute[/tex]

the value of y is equal to

[tex]y=3*1=3\ laps[/tex]

Plot the point [tex](1,3)[/tex] in the graph

therefore

the answer is

The solution is the line b

see the attached figure to better understand the problem

what is 63 as the product of prime factors in ascending order?

Answers

When we arrange the numbers in such an order that it starts from the smallest number and goes towards the largest number, that order is called ascending order.
Prime factors of 63 are : 3, 3, 7
As 3 repeats and 3 is smaller than 7 so, when we write this in ascending order as the product of these, we write in such a way;
63 = 3 x 3 x 7 = 3² x 7
Now 3² = 9 and 9 is greater than 7,so,
63 = 7 x 9

A card is drawn from a standard deck of 52 playing cards. find the probability that the card is an ace or a black card.

Answers

answer:28/52 chance aka 54% chance

Work:
Prob(ace or black card)= Prob(ace) + Prob(black card) - P(ace and black card)

=4/52 + 26/52 -2/52
=28/52

The probability that the card is an ace or a black card is 7/13

Probability is the likelihood or chance that an event will occur.

A standard card contains 52 cards. Hence the total outcome is 52.

Since there are 4 aces, the expected outcome is 4The total number of black cards is 26The total card that is ace and black is 2

Get the required probability;

Prob(ace or black card) = Prob(ace) + Prob(black card) - P(ace and black card)

Prob(ace or black card) = 4/52 + 26/52 -2/52

Prob(ace or black card) = 28/52

Hence the probability that the card is an ace or a black card is 7/13

Learn more on probability here: https://brainly.com/question/14192140

Y -2 > -11 what is the answer to this

Answers

-9 because you add positive 2 to counter act -2 which gives you -9

14???????????????????????

bh+hr=25
solve for h and r

Answers

Take h common:

h(B + r) = 25

Divide b+r
h = 25/ b + r

Subtract bh:

hr = -bh + 25

Divide h:

r = -bh/h + 25/h

Simplify:

r = -b + 25/h

Hope this helps!

Final answer:

To solve for h and r in the equation bh + hr = 25, isolate one variable, solve for h using division, and solve for r by expanding the equation. There is no unique solution for h and r in terms of each other.

Explanation:

To solve for h and r in the equation bh + hr = 25, we need to isolate one variable on one side of the equation. Let's solve for h first:

bh + hr = 25

Factor out h from the left side of the equation:

h(b + r) = 25

Divide both sides by (b + r) to solve for h:

h = 25 / (b + r)

Now, let's solve for r. Replacing h in the original equation:

bh + hr = 25

b(25 / (b + r)) + r(25 / (b + r)) = 25

Multiply both sides by (b + r) to get rid of the denominators:

25b + 25r = 25(b + r)

Expand the equation:

25b + 25r = 25b + 25r

As we can see, the equation is an identity, meaning any value of r will satisfy it. Therefore, there is no unique solution for r in terms of h, and vice versa.

Learn more about Solving equations here:

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Staci is attending a music festival. The ticket to the festival costs 87.96. Staci plans to purchase 30.00 t-shirts from the event for close friends. She is taking 200.00 to the festival . What is the maximum number of t-shirts Staci can purchase?

Answers

Initial cash on hand : $200.00
Ticket cost : $87.96
T-shirt cost per piece: $30.00

The first thing Staci needs to do is to deduct the cost of the ticket from her money.

$200 - 87.96 = $112.04

Stacy has the extra amount of 112.04 to purchase t-shirts. Since, each t-shirt costs $30. To know the number of shirts she can buy, she must divide the difference by 30.

$112.04 / $30 = 3.73

Based from the quotient, Stacy can buy 3 t-shirts.

$30 * 3 = $90 total cost of the tshirts.

$112.04 - 90 = $22.04

After buying the ticket and 3 tshirts, Staci has an excess of $22.04 from her $200.

Hope this helped

Final answer:

Staci can purchase a maximum of 3 T-shirts after buying her festival ticket, given she brings $200.00 and each T-shirt costs $30.00.

Explanation:

To calculate the maximum number of T-shirts Staci can purchase at the music festival, we can follow these steps:

Subtract the cost of the festival ticket from the total amount of money Staci is taking to the festival. This will give us how much money she has left for the T-shirts.

Divide the remaining amount by the cost of one T-shirt to find out the maximum number of T-shirts she can buy.

So for the first step:

Staci has $200.00 and the ticket costs $87.96, leaving her with $200.00 - $87.96 = $112.04.

For the second step:

Each T-shirt costs $30.00, so we divide $112.04 by $30.00, which gives us 3.734.

Since Staci cannot buy a fraction of a T-shirt, we round down to the nearest whole number, which is 3.

Therefore, the maximum number of T-shirts Staci can purchase is 3.

Lets find F^(-1) if
y=-2x+1
I’m not sure if the F^(-1)=1+x/2

Answers

close enough, let's do the switcharoo of the variables and solve for "y".

[tex]\bf y=-2x+1\qquad \boxed{x}=-2\boxed{y}+1\implies x-1=-2y \\\\\\ \cfrac{x-1}{-2}=y\implies \cfrac{1-x}{2}=\stackrel{f^{-1}}{y}[/tex]

So, again, we have our rules for mapping [tex]y[/tex] to [tex]x[/tex]:

[tex]y=-2x+1[/tex]

To find [tex]f^{-1}[/tex], we solve for [tex]x[/tex].

[tex]y-1=(-2x+1)-1[/tex] (subtract 1 from both sides)
[tex](y-1)/(-2)=(-2x)/(-2)[/tex] (divide both sides by -2)

That gives us

[tex]x= \frac{y-1}{-2} [/tex]

Now that we have a way of mapping [tex]y[/tex] back to [tex]x[/tex], all we do is swap the domain and range, and we have

[tex]f^{-1}(x)= \frac{x-1}{-2} [/tex]

for the function:

f(x) = -3x^4

complete the table of values using at least 5 points.

x -2 -1 0 1 2

f(x)

Answers

To find the value of f(x) at the 5 provided values of x, we substitute that particular value for x in [tex]-3x^4[/tex].

Doing so, we get:

[tex]f(-2)=-3(-2)^4=-3(16)=-48\\ f(-1)=-3(-1)^4=-3(1)=-3\\ f(0)=-3(0)^4=0\\ f(1)=-3(1)^4=-3(1)=-3\\ f(2)=3(2)^4=-3(16)=-48[/tex]

What is an equation of the line in slope-intercept form? m = 2 and the y-intercept is (0, 3)

Answers

set up as y=mx+b
y=2x+3

Straight line equation is given in the form

y = mx + c

m represents the gradient and c represent where the line intercept y-axis

The y-intercept happens when the value of x-coordinate is 0, so the coordinate is (0, c)

We have, m = 2 and c = 3
The equation of the line is: y = 2x + 3

find an angle measure that is supplementary to this angle 126 degrees

Answers

Answer:

Step-by-step explanation:

Answer:

54°

Step-by-step explanation:

The sum of the measures of two supplementary angles is 180°.

180° - 126° = 54°

Answer: 54°

Alberto, Carlos and Maria share an inheritance of $54000 in the ratio of 3: 4: 5
What fraction of the the money does Alberto get?

Answers

Do 3x+4x+5x=54000
12x=54000
X=4500
Now im not sure which is alberto but if they are in the order as listed he would be 3.
So alberto = 3x
Alberto= $13500

Alberto gets [tex]$ \frac{1}{4} $[/tex] of the inheritance.

To find out the fraction of the money Alberto gets, we first need to find out how much of the total inheritance each part of the ratio represents.

The total parts in the ratio are [tex]$3 + 4 + 5 = 12$[/tex].

Alberto's share is [tex]$3$[/tex] parts out of [tex]$12$[/tex].

So, Alberto's share of the inheritance is [tex]$ \frac{3}{12} $[/tex] of the total amount.

To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is [tex]$3$[/tex]:

[tex]$ \frac{3}{12} = \frac{1}{4} $[/tex]

Therefore, Alberto gets [tex]$ \frac{1}{4} $[/tex] of the inheritance.

12 is 30% of blank plz give the right answer

Answers

12 is 30% of the number 40.

12/x equals 30/100. So 12 times 100 equals 1200 divided by 30. The answer is 40.

(y3 - 4y2 + 7y - 6) ÷ (y - 2)

Answers

(3y-8y+7y-6)/(y-2)
(2y-6)/(y-2)
2(y-3)/2(y/2-2)
(y-3)/(y/2-2)

David bought a used car for $3,000 and later sold it for $1,000. What was the approximate percent decrease in the price of the car?

Answers

The approximate decrease is around 66 percent.

The approximate percent decrease in the price of the car, would be 66%. Hope this helps.

A friend creates an IRA (Individual retirement account) with an APR of 6.25%. She starts the IRA at the age of 25 and deposits $50 at the end of each month. How much will her IRA contain when she retires at the age of 65?

Answers

65 - 25 = 40
so

A = [P (1 + i/n)^nt - 1 ] / (i/n)
A = [50 (1 + 0.0625 / 12)^12*40 - 1] / (0.0625 / 12)
A = $106,596

answer
$106,596

Please help me with this!!

Answers

Answer: Choice C) 115 degrees

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

Explanation:

The three angles are 42, 73 and 65 degrees. Let's call them x,y, and z respectively
x = 42
y = 73
z = 65

To find an exterior angle for x, we subtract the given angle x from 180
180-x = 180-42 = 138
The exterior angle adjacent to angle x is 138 degrees. This isn't listed so we move on

Do the same for y
180-y = 180-73 = 107
This isn't listed either. So we move on

Repeat for angle z
180-z = 180-65 = 115
This is listed as choice C. That's why choice C is the answer

Write 3 ½% as a fraction

Answers

Answer:

7/200

Step-by-step explanation:

3.5% = 3.5/100 = (3.5/100)×(2/2) = 7/200

_____

The % symbol is a shorthand way to write "/100", so 3.5% = 3.5/100.

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