Mathematics High School

translate the phrase into a variable expression. use the letter b to name the variable. is necessary, use the asterisk ( * ) for multiplication and the slash ( / ) for division

.......the total number of slices of bread used for the sandwiches and the 7 still left in the loaf....

Answers

Answer 1
Answer:

The translation of a phrase into a variable expression is given by:

                            b+7

Step-by-step explanation:

The letter ' b ' is used to name the variable.

The total number of slices of bread used for the sandwiches and the 7 still left in the loaf.

Let b be the total number of slices that were used for the sandwiches.

and also 7 are still left in the loaf

The total number of slices of bread= Number of slices used fro sandwich+Left over

                    Hence, the expression is:

                                 b+7

Related Questions

what is an equation for the number of $0.60 bagels that can be purchased with d dollars

Answers

The answer is 0.60d.
x+D=1
since d is dollar and the one is
x would be the cost and the d would be the dollar
 

SOMEONE PLEASE HELP!
A store allows customers to fill their own bags of candy. Troy decides he only wants chocolate-covered pretzels and gumdrops. Chocolate-covered pretzels sell for $0.89 per pound, and gumdrops sell for $0.65 per pound. Troy’s bag weighs 1.8 pounds and it cost $1.29.



A. 0.5 pounds of pretzels; 1.3 pounds of gumdrops
B. 0.9 pounds of pretzels; 0.9 pounds of gumdrops
C. 1.3 pounds of pretzels; 0.5 pounds of gumdrops
D. 0.8 pounds of pretzels; 1 pound of gumdrops

Answers

A

just plug in the prices of the candy .5 times the price of pretzels and 1.3 times the price of gumdrops

Solve for x.

−32>−5+9x



Enter your answer, as an inequality, in the box

Answers

The solution to the inequality -32 > -5 + 9x is x > -3.

To solve the inequality -32 > -5 + 9x, we'll isolate the variable x by first getting rid of the constant term (-5) on the right side.

1. Add 5 to both sides:

  -32 + 5 > 9x

  -27 > 9x

2. Divide both sides by 9 to solve for x:

  -27/9 > x

  -3 > x

Therefore, x is greater than -3. In interval notation, this can be written as (-∞, -3). In inequality notation, it's expressed as x > -3.

We started by isolating the variable x by adding 5 to both sides, then divided by 9 to solve for x. Remember, when dividing or multiplying by a negative number, the direction of the inequality sign flips. Thus, the final solution is x > -3.

Seascapes rent small fishing boats for a day-long fishing trips. each boat can carry only 1200 lb of people and gear for safety reasons. Assume the average weight of a person is 150 lb. each group will require 200 pounds of gear for the boat plus 10 lb of gear for each person.

A) create any quality describing the restrictions on the number of people that can possibly fit in a rented boat.

B) several groups of people wish to rent a boat Group one has 4 people group two has 5 people group three has 8 people. Determine which of the groups, if any, can safely run a boat what is the maximum number of people that may rent a boat.

Answers

A. We are given that each person weighs 150 lb, each gear per person weighs 10 lb, and a total of 200 pounds of gear for the boat itself.

Since each person only carries one gear, therefore total weight per person in 160 lb (weight of person + weight of gear).

So let us say that x is the number of persons, the inequality equation is:

 

160 x + 200 ≤ 1200

 

 

B. There are three groups that wish to rent the boat.

> Solve the inequality equation when x = 4

160 (4) + 200 ≤ 1200

840 ≤ 1200           (TRUE)

 

> Solve the inequality equation when x = 5

160 (5) + 200 ≤ 1200

1000 ≤ 1200         (TRUE)

 

> Solve the inequality equation when x = 8

160 (8) + 200 ≤ 1200

1480 ≤ 1200         (FALSE)

 

So only the 4 people group and 5 people group can safely run the boat.

 

 

C. Find the maximum number of people that may safely use the boat, solve for x:

 

160 x + 200 ≤ 1200

160 x ≤ 1000

x ≤ 6.25

 

Therefore the maximum number of people that can safely use the boat is 6 people.

A mathematical inequality is created to determine that a maximum of 6 people can rent a boat based on the safety weight limit of 1200 lb. Of the groups provided, only groups with 4 or 5 people can safely rent the boat, while the group with 8 people cannot due to exceeding the weight limit.

To determine the restrictions on the number of people that can possibly fit in a rented boat given the safety weight limit, we start by creating an inequality. Let p represent the number of people, then the total weight of the people is 150 lb times p, and the total gear weight is 200 lb for the boat plus 10 lb per person. The inequality can be represented as:

150p + 10p + 200 \<= 1200

Simplifying the inequality gives us:

160p \<= 1000

Dividing both sides by 160:

p \<= 1000 / 160

p \<= 6.25

Since we cannot have a fraction of a person, the maximum number of people allowed is 6.

For part B, we evaluate if the groups mentioned can safely rent a boat:

Group 1 (4 people): 150(4) + 10(4) + 200 = 840 lb \<= 1200 lb - they can rent.

Group 2 (5 people): 150(5) + 10(5) + 200 = 1000 lb \<= 1200 lb - they can rent.

Group 3 (8 people): 150(8) + 10(8) + 200 = 1480 lb > 1200 lb - they cannot rent as it exceeds the limit.

The maximum number of people who may rent a boat based on the given restrictions and average weights is 6 people.

Find the difference quotient and simplify your answer. f(x) = 7x − x2, f(7 + h) − f(7) h , h ≠ 0

Answers

whatever is inside of the ( ), simply plug that digit into the x-values for f(x)
So: f(x) = 7x - x^2, and f(7+h) - f(7)
= [7(7+h) - (7+h)^2] - [7(7) - (7)^2]
= [49+7h - 49+14h+h^2] - [49-49]
= 49-49 + 7h+14h + h^2 = h^2 + 21h =
h (h+21), h (h+21) = 0
h=0... But it stated h cannot = 0
So h+21 = 0, h = -21
Final answer:

The difference quotient for the function f(x) = 7x - x² is (7h - h²) / h.

Explanation:

The difference quotient is used to find the rate at which a function changes over a small interval. To find the difference quotient for the given function f(x) = 7x − x², we substitute f(7 + h) and f(7) into the formula: [f(7 + h) - f(7)] / h. Simplifying the expression, we get [(7(7 + h) - (7 + h)²) - (7(7) - 7²)] / h. Expanding and simplifying further, we have [(49 + 7h - h²) - (49 - 49)] / h, which becomes (7h - h²) / h.

Learn more about difference quotient here:

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Fred completen 10 math problems This is 40 percent of the number of math problems he has to do How many math problems must he do

Answers

he got 4 out of the 10 right how you do that you would divide the two numbers together

Answer:

15 more/ 25 problems in total

Step-by-step explanation:

A box measures 2 cm x 0.09 m x 20 mm. what is its volume in cubic centimeters?

Answers

Final answer:

To find the volume of the box, convert all dimensions to centimeters and then use the formula length x width x height. The volume is 36 cm³.

Explanation:

To calculate the volume of a rectangular box with dimensions in different units, we must first convert all dimensions to the same unit of measure. In this case, we will convert meters and millimeters to centimeters:

0.09 m = 0.09 * 100 cm = 9 cm

20 mm = 20 / 10 cm = 2 cm

Now we can calculate the volume using the formula for the volume of a rectangular box, which is length × width × height:

Volume = 2 cm × 9 cm × 2 cm = 36 cm³

Find the product: 5(−3)(−2)

PLEASE HELP ASAP!

Answers

(-3)(-2) = 6
6(5) = 30

30 is your answer

hope this helps
30 is the answer for you

Find 3 solutions for 2x+y=10

Answers

2×4+2=10
2×3+4=10
2×2+4=10
3 possible solutions to the equation 2x+y=10 are shown below:

X= 3, Y=4
(3*2+4=10)

X= 1, Y=8
(1*2+8=10)

X=4, Y=2
(4*2+2=10)

Hope this helps! :)

you have a bottle of water with a leak. after 2 seconds there is 28 ounces left in the bottle. after 6 seconds there are 20 ounces left in the bottle. how much water was in the bottle initially

Answers

Im thinking 32 ounces.

Answer:

32!

Step-by-step explanation:

Evaluate the expression. ​ (26÷13)⋅(−7)+14−4 ​ Enter your answer in the box

Answers

(2)*-7+14-4        -14+14-4               0-4            = -4

The value of the expression (26 ÷ 13) ⋅ (−7) + 14 − 4 ​will be negative four.

What is the value of the expression?

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The expression is given below.

⇒ (26 ÷ 13) ⋅ (−7) + 14 − 4 ​

Simplify the expression, then the value of the expression will be

⇒ (26 ÷ 13) ⋅ (−7) + 14 − 4 ​

⇒ (2) ⋅ (−7) + 14 − 4 ​

⇒ −14 + 14 − 4 ​

⇒ − 4 ​

Then the value of the expression (26 ÷ 13) ⋅ (−7) + 14 − 4 ​will be negative four.

More about the value of expression link is given below.

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5 x 2 x (-4) + 6 divided by 2

43
-37
-23
-17

Answers

There is a certain order that we follow in doing any mathematical operation:
First we get rid of any operation within brackets, then we do multiplication and divisions and finally we do additions and subtractions.

We need to evaluate: 5x2x(-4) + 6:
So since we have no operations within brackets, then we will do the multiplications first (in their order) then the addition:
5x2x(-4)+6 = 10x(-4)+6 = -40+6 = -34

Now, we need to divide -34 by 2:
-34/2 = -17

The answer is: -17

.help me thanks much

Answers

(16x^1/6y^-2)^3/2 / (x^-1/6y^6)^3/2

=(4^2)^3/2 (x^1/6)^3/2 (y^-2)^3/2 / (x^-1/6)^3/2(y^6)^3/2
= 4^3   x^1/4 y^-3  / x^-1/4 y ^9
= 64 x^(1/4 +1/4) y^(-3-9)
= 64 x^1/2 y^-12
= 64 x^1/2 / y^12

answer is D.64 x^1/2 / y^12

Two consecutive integers have a sum of 81 . find the integers.

Answers

let the first one be x, the second one is then x+1
x+(x+1)=81
2x=80
x=40
the two consecutive integers are: 40, 41

4x-3y+6z=18,-x+5y+4z=48,6x-2y+5z=0 what are x,y,and z?

Answers

-1x+5y+4z=48
4x-3y+6z=18
6x-2y+5z=0
multiply the first equation by 4 and add the results to the second equation:
-1x+5y+4z=48
17y+22z=210
6x-2y+5z=0
multiply the first equation by 6 and add the results to the third equation:
-1x+5y+4z=48
17y+22z=210
28y+29z=288
multiply the second equation by -28/17 and add the result to the third equation:
-1x+5y+4z=48
17y+22z=210
-123/17z=-984/17
solve for z
-123/17z=-984/17
z=8
then solve for y
17y+22z=210
17y+22*8=210
y=2
solve for x substituting y=2 and z=8 into the first equation:
4x-3(2)+6(8)=18
x=-6
so the solutions are x=-6, y=2, z=8

Joe sold 15 T-shirts for a total of $82.50.
What is the unit price?

Answers

5.5 is my predicted answer
Just divide the 82.50 by 15 and your answer is answer for unit

List the members of these sets.
a.{x | x is a real number such that x2 = 1}
b.{x | x is a positive integer less than 12}
c.{x | x is the square of an integer and x < 100}
d.{x | x is an integer such that x2 = 2}

Answers

a.{x | x is a real number such that x^2 = 1}

x^2 = 1 => x = +/- 1

=> {-1, 1} <------ answer

b.{x | x is a positive integer less than 12}

1 ≤ x < 12 => {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11} <------ answer

c.{x | x is the square of an integer and x < 100}

x = n^2 < 100 => n^2 - 100 < 0

=> (n - 10) (n + 10) < 0

=> a) n - 10 > 0 and n + 10 < 0  => n > 10 and n < - 10 which is not possible

b) n - 10 < 0 and n + 10 > 0 => n < 10 and n > - 10 => - 10 < n < 10

=> n = { - 9, - 8, - 7, - 6, - 5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

=> x = {0, 1, 4, 9, 16, 25, 36, 49, 64, 81} <---- answer

d.{x | x is an integer such that x^2 = 2}

x =  {∅ } because x is √2 which is not an interger but an irrational number

=> Answer: { ∅ }

The sets are:

a) {-1, 1}b) {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}c) {1, 4, 9, 16, 25, 36, 49, 64, 81}d) {∅}.

How to find the elements of each set?

We need to find all the values of x that meet the given restrictions for each set.

a) Here we know that x is a real number and we must have:

x^2  = 1

Solving for x:

x = ±√1 = ±1

Then this set is:

{-1, 1}

b) Here x is a positive integer smaller than 12, this is just:

{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}

c) In this case x is a square number, and it must be smaller than 100, so let's find all the square values smaller than 100.

1^2 = 12^2 = 43^2 = 94^2 = 165^2 = 256^2 = 367^2  = 498^2 =  649*9 = 8110*10 = 100  (from this onwards, the squares don't meet the criteria).

Then this set is:

{1, 4, 9, 16, 25, 36, 49, 64, 81}

d) Here x must be an integer, such that x^2 = 2

Solving the equation we get:

x = ±√2

But √2 is an irrational number, so there is no integer number that meets this restriction, this means that we have an empty set, this is written as:

{∅}.

If you want to learn more about sets, you can read:

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Write the expression(4x-2)·6(2x 7) in the standard form of a quadratic expression, ax² bx c what are the values of the couiffeciant?

Answers

I have found that the right expression is (4x-2)*6(2x-7).

So, I will apply distributive property step by step:

1) (4x - 2) (12x - 35)

2) 4*12x^2 - 4*35x - 2*12x + 2*35 = 48x^2 - 140x - 24x + 70 = 48x^2 - 164x + 70

3) Compare with ax^2 + bx + c

=> a = 48, b = - 164, c = 70

Answer: a = 48, b = -164, c = 70


A stack of two hundred fifty cards is placed next to a ruler, and the height of stack is measured to be 5 8 58 inches.

Answers

─────█─▄▀█──█▀▄─█─────
────▐▌──────────▐▌────
────█▌▀▄──▄▄──▄▀▐█────
───▐██──▀▀──▀▀──██▌───
──▄████▄──▐▌──▄████▄──

plz don't be mad I need points

Solve p−|5|×|−3|=−20

Answers

Answer:

-5

Step-by-step explanation:

The solution of the equation p − |5| × |−3| = − 20 will be negative 5.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The absolute equation is given below.

p − |5| × |−3| = − 20

Simplify the equation, then we have

p − |5| × |−3| = − 20

p − 5 × 3 = − 20

p − 15 = −20

p = − 5

The solution of the equation p − |5| × |−3| = − 20 will be negative 5.

More about the solution of the equation link is given below.

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Hugo’s friends bought used books at the yard sale Sonia paid 2.25 John paid 6.00 and Keisha paid 3.75 how many books did each friend buy

Answers

Well, if each book only costs 0.25, then
Sonia bought 9 books
John bought 24 books
Keisha bought 15 books
If each book costs 0.75, then
Sonia bought 3 books
John bought 8 books
Keisha bought 5 books

Answer:

Sonia , John and Keisha bought 3,8 and 5 books respectively.

Step-by-step explanation:

given ,

Sonia paid 2.25 to buy book in yard sale

John paid 6 to buy book in yard sale

Keisha paid 3.75 to buy book in yard sale

cost of 1 book is equal to 0.75 cent

books bought each of them will be equal to

Sonia = [tex]\dfrac{2.25}{0.75}[/tex] = 3 books

John =  [tex]\dfrac{6}{0.75}[/tex] = 8 books

Keisha =  [tex]\dfrac{3.75}{0.75}[/tex] = 5 books

Hence, Sonia , John and Keisha bought 3,8 and 5 books respectively.

Which of these is correct?
A) 30,792 is greater than 31,875.
B) 31,875 is greater than 32,496.
C) 31,875 is greater than 30,792.
D) 32,496 is less than 31,875.

Answers

The correct answer is:  [C]:  " 31,875 is greater than 30,792. "
__________________________________________________________

Suppose that there is a positive correlation between the variables k and I. If l is 75when k is 7, which of these is most likely to be the value of l when k is 14.

Answers

positive correlation varies jointly

I = ck
75 = c(7)
75/7 = c
10.71 = c

I = (10.71)k
I = (10.71)(14)
I = 150

Answer:

l = 150

Step-by-step explanation:

The numbers k and have a positive correlation, to know the correlation between these two variables we have to use the values they give us:

When l = 75 the k = 7

The correlation between the two numbers is division. So this can be written as:

correlation: I = 75/7 k

So if we substitute k=14

l = 75/7 * 14

l = 150

We can also get this number by rule of three:

75/7 = x/14

75/7 *14 = l

1050/7 = l

150 = l

What does negative 2 over 3 > −1 indicate about the positions of negative 2 over 3 and −1 on the number line?

Answers

Answer:

Step-by-step explanation:

List -0.3 , 0.5 ,0.55 ,-0.35 from least to greatest

Answers

-0.35, -0.3, 0.5, 0.55

is your answer

hope this helps
the correct answer is-0.35,-0.3,0.55,0.5

At a certain college, there are 600 freshman, 400 sophomores, 300 juniors, and 200 seniors. if one student is selected at random, what is the probability that the student is a sophomore?

Answers

The total number of sample space in this item is calculated by adding up all the number of students given. That is,

   S = 600 + 400 + 300 + 200 = 1500

The probability is calculated with the equation below.

    P = n / S

where P is the probability,
          n is the number of sophomores, and 
          S is the total number of students

Substituting,
    
  P = 400 / 1500 = 4/15

ANSWER: 4/15

What consecutive numbers have a sum of 133?

Answers

Two consecutive integers mean numbers like 2, 3 or -3, -2. Let x represent the first number. the next consecutive number will be x + 1. The equation becomes:  x + (x + 1) = 133. Solve for x: x + (x + 1) = 133 x + x + 1 = 133 2x + 1 = 133 Subtract 1 from both sides: 2x = 132 Divide both sides by 2: x = 66 x + 1 = 67. Solution: The two consecutive numbers adding up to 133 are 66 and 67.

Find the next two terms in the sequence. 0,1,4,9. . . A.13,18 B,16,25 C.13,17 D.16,23

Answers

A. 13,18 is the answer for this question. Because the next terms added by 3..

Answer:

16 & 25

Step-by-step explanation:

had the same question (;

Average precipitation for the first 7 months of the year, the average precipitation in toledo, ohio, is 19.32 inches. if the average precipitation is normally distributed with a standard deviation of 2.44 inches, find these probabilities.

Answers

Part A:

The probability that a normally distributed data with a mean, μ and standard deviation, σ is greater than a given value, a is given by:

[tex]P(x\ \textgreater \ a)=1-P(x\ \textless \ a)=1-P\left(z\ \textless \ \frac{a-\mu}{\sigma}\right)[/tex]

Given that the average precipitation in Toledo, Ohio for the past 7 months is 19.32 inches with a standard deviation of 2.44 inches, the probability that a randomly selected year will have precipitation greater than 18 inches for the first 7 months is given by:

[tex]P(x\ \textgreater \ 18)=1-P(x\ \textless \ 18) \\ \\ =1-P\left(z\ \textless \ \frac{18-19.32}{2.44}\right) \\ \\ =1-P(z\ \textless \ -0.5410) \\ \\ =1-0.29426=\bold{0.7057} [/tex]



Part B:

The probability that an n randomly selected samples of a normally distributed data with a mean, μ and standard deviation, σ is greater than a given value, a is given by:

[tex]P(x\ \textgreater \ a)=1-P(x\ \textless \ a)=1-P\left(z\ \textless \ \frac{a-\mu}{\frac{\sigma}{\sqrt{n}}}\right)[/tex]

Given that the average precipitation in Toledo, Ohio for the past 7 months is 19.32 inches with a standard deviation of 2.44 inches, the probability that 5 randomly selected years will have precipitation greater than 18 inches for the first 7 months is given by:

[tex]P(x\ \textgreater \ 18)=1-P(x\ \textless \ 18) \\ \\ =1-P\left(z\ \textless \ \frac{18-19.32}{\frac{2.44}{\sqrt{5}}}\right) \\ \\ =1-P(z\ \textless \ -1.210) \\ \\ =1-0.1132=\bold{0.8868}[/tex]

Using the normal distribution and the central limit theorem, it is found that there is a:

a) 0.7054 = 70.54% probability that a randomly selected year will have precipitation greater than 18 inches for the first 7 months.b) 0.8869 = 88.69% probability that five randomly selected years will have an average precipitation greater than 18 inches for the first 7 months.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this problem:

The mean is of 19.32 inches, hence [tex]\mu = 19.32[/tex].The standard deviation is of 2.44 inches, hence [tex]\sigma = 2.44[/tex].

Item a:

The probability that a randomly selected year will have precipitation greater than 18 inches for the first 7 months is 1 subtracted by the p-value of Z when X = 18, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{18 - 19.32}{2.44}[/tex]

[tex]Z = -0.54[/tex]

[tex]Z = -0.54[/tex] has a p-value of 0.2946.

1 - 0.2946 = 0.7054.

0.7054 = 70.54% probability that a randomly selected year will have precipitation greater than 18 inches for the first 7 months.

Item b:

Now, we want the probability that five randomly selected years will have an average precipitation greater than 18 inches for the first 7 months, hence:

[tex]n = 5, s = \frac{2.44}{\sqrt{5}}[/tex]

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{18 - 19.32}{\frac{2.44}{\sqrt{5}}}[/tex]

[tex]Z = -1.21[/tex]

[tex]Z = -1.21[/tex] has a p-value of 0.1131.

1 - 0.1131 = 0.8869.

0.8869 = 88.69% probability that five randomly selected years will have an average precipitation greater than 18 inches for the first 7 months.

To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213

Simplify an expression

Answers

Answer:

[tex]\frac{20+2k}{3k+12}[/tex]

Step-by-step explanation:

Since there is no equals sign here, we are not solving this.  The only way to simplify is to get a common denominator and write the expression as a single expression.  We can begin by noting that the second term has a k in the numerator and in the denominator, and those cancel each other out.  That is the first simplification we can perform.  That leaves us with:

[tex]\frac{4}{k+4}+\frac{2}{3}[/tex]

In the first term, the denominator is k + 4, in the second term it is just 3.  Therefore, the common denominator is 3(k+4).  We are missing the 3 in the denominator of the first term, so we will multiply in 3/3 by that term.  We are missing a (k + 4) in the second term, so we will multiply in (k + 4)/(k + 4) by that term:

[tex](\frac{3}{3})(\frac{4}{k+4})+(\frac{k+4}{k+4})(\frac{2}{3})[/tex]

Multiplying fractions requires that I multiply straight across the top and straight across the bottom.  That gives me:

[tex]\frac{12}{3k+12}+\frac{2k+8}{3k+12}[/tex]

Now that the denominators are the same, I can put everything on top of that single denominator:

[tex]\frac{12+2k+8}{3k+12}[/tex]

Th final simplification requires that I combine like terms:

[tex]\frac{20+2k}{3k+12}[/tex]

Other Questions
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