A three foot long deli sandwich must be split into three pieces so that the middle piece is twice as long as the shortest piece, and the shortest piece is 8 inches shorter than the longest piece. How long should the three pieces be?

Answers

Answer 1

Answer:

Step-by-step explanation:

Let us represent:

Short pieces = x

Middle pieces = y

Long pieces = z

A three foot long deli sandwich must be split into three pieces

x + y + z = 3

The middle piece is twice as long as the shortest piece

y = 2x

The shortest piece is 8 inches shorter than the longest piece.

x = z - 8

z = x + 8

We substitute

x + y + z = 3

x + 2x + x + 8 = 3

5x = 8 - 3

5x = 5

x = 5/5

x = 1

y = 2x

y = 2 × 1

y = 2

z = x + 8

z = 1 + 8

z = 7

How long should the three pieces be?


Related Questions

-41 = -2/5(45n+60) + n

please show your work, i’ll mark as brainliest

Answers

Answer:

n = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

-41 = -2/5(45n + 60) + n

Step 2: Solve for n

Distribute -2/5:                                                                                               -41 = -18n - 24 + nCombine like terms:                                                                                       -41 = -17n - 24[Addition Property of Equality] Add 24 on both sides:                                -17 = -17n[Division Property of Equality] Divide -17 on both sides:                              1 = nRewrite/Rearrange:                                                                                        n = 1

Step 3: Check

Plug in n into the original equation to verify it's a solution.

Substitute in n:                                                                                                -41 = -2/5(45(1) + 60) + 1(Parenthesis) Multiply:                                                                                    -41 = -2/5(45 + 60) + 1(Parenthesis) Add:                                                                                          -41 = -2/5(105) + 1Multiply:                                                                                                           -41 = -42 + 1Add:                                                                                                                 -41 = -41

Here we see that -41 does indeed equal -41.

∴ n = 1 is the solution to the equation.

can some one please help

Answers

Answer:

∠P = 110º

∠Q = 70º

Step-by-step explanation:

we know that a straight line is equal to 180º and since we already have one angle (70º) all we have to do is subtract 70 from 180.

180 - 70 = 110º

we also know that vertical angles are congruent (the same) so we're already given angle q.

could you help me with number 6 plz

Answers

Answer: 4 tons

Step-by-step explanation:

One ton is 2000 pounds so 800/2000 which is 4,

Answer:

D: The correct answer is 4 tons!

Step-by-step explanation:

1 ton is equal to 2000 pounds, this elephant wieghs 8000 pounds therefore, divide 8000 by 2000 and you will get 4.

So i hope this helps.

Your friend evaluated an expression using k = 0.5 and p =1/6 and got an answer of 12. Which expression did your friend evaluate?
O 5p+8k
O 8p + 5k
O 0.5k + 1.6p
O 0.8k + 0.5p

Answers

I think may be 8p +5k . If I’m wrong,... sorry

7. What two transformations? Someone please help

Answers

Answer:

Rotation and Dilation

Step-by-step explanation:

28 batteries for smoke alarm. Store sells them in 6 packs. Using skip counting how many packs should be bought?

Answers

5 packs should be bought.

The number of packs that should be bought should be considered as the 5.

Calculation of the number of packs need to be purchased:

Since

28 batteries for smoke alarm. Store sells them in 6 packs

So here we simply divide it

[tex]= 28 \div 6[/tex]

= 5

hence, The number of packs that should be bought should be considered as the 5.

Learn more about number here: https://brainly.com/question/18555023

Eight less than a number, n, is at least 10.
Which inequality represents this statement?
8- n > 10
n - 8 > 10
8- n < 10
n-8 < 10

Answers

Answer:

n - 8 >= 10

n minus 8 is greater than or equal to 10

Eight less than a number " n" , is at least 10.

The inequality for this condition can be represented as

[tex]\bold{ { n-8\geq 10}}\\[/tex]

Hence option (2) is correct

To find out the expression for this inequality  let us consider that the number be ''n"

Since the actual number in the question is less than this number [tex]\rm n[/tex] by [tex]8[/tex] hence let the new number be [tex]\rm N[/tex]

From the given condition in the statement  we can write that

[tex]\rm N = n-8[/tex]

According to the condition given in the statement  we can write that

The value of [tex]\rm N[/tex] is at least  10. This means  the minimum value for [tex]\rm N[/tex] is 10.

This signifies that N can be any number with minimum value 10.

So the inequality for this condition can be represented as

[tex]\rm\bold{ { N\geq 10}}\\\bold{ { n-8\geq 10}}\\[/tex]

Hence option (2) is correct

For more information please refer to the link below

https://brainly.com/question/15137133


Find the value of x. Round your answer to the nearest tenth.

Answers

Answer:

In this question, we can use the Pythagorean theorem to solve for x.

11^2 + x^2 =24^2

x^2 = 24^2 -11^2

x is about 21.3

Let me know if this helps!

solution.
6) -162-5-X
8 9 10 11
12
14 15 16 17 18

Answers

x ≥ 11 is the answer

Plz help ;-;

Plz ;-;

Answers

Answer:

word form:

seventy-five and nine tenths

expanded form:

75.9 = (7 x 10) + (5 x 1) + (9/10)

Step-by-step explanation:

Y is less than or equal to

Answers

Answer:

less than I think

not sure tho

what is 90.90 rounded to the ones

Answers

91 your a little slow

Answer:

91.00

Step-by-step explanation:

I got you

The ratio of teachers to students is 1 to 15. If there are 10 teachers, how many students are there?

Answers

Answer:

150 students

Step-by-step explanation:

y= -7x -8 please help

Answers

Answer:

15

Step-by-step explanation:

SOMEBODY PLEASE TELL ME HHOW TO MAKE FRACTIONS INTO PERCENTS WORTH 20 POINTS

Answers

Step-by-step explanation:

Easy steps!

Turn the fraction into a decimal first (or in other words, divide) (For Example: 1/2 = 0.5)Move the decimal point to the right TWO times, and voila (For example: 0.5 = 50%)

Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 3)(0,3) and (4, 7203)(4,7203).

Answers

Answer:

[tex]y = 3(7)^x[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (0,3)[/tex]

[tex](x_2,y_2) = (4,7203)[/tex]

Required

Determine an exponential function

Substitute 0 for x and 3 for y in [tex]y=ab^x[/tex]

[tex]3 = ab^0[/tex]

[tex]3 = a*1[/tex]

[tex]3 = a[/tex]

[tex]a = 3[/tex]

Substitute 4 for x and 7203 for y in [tex]y=ab^x[/tex]

[tex]7203= ab^4[/tex]

Substitute 3 for a

[tex]7203= 3*b^4[/tex]

Divide both sides by 3

[tex]2401= b^4[/tex]

Take 4th root of both sides

[tex]\sqrt[4]{2401} = b[/tex]

[tex]7 = b[/tex]

[tex]b = 7[/tex]

Substitute 3 for a and 7 for b in [tex]y=ab^x[/tex]

[tex]y = 3(7)^x[/tex]

2(x-4) = 5 (x+24) rewrite the equation in slope-intercept form

Answers

Answer:

Since x=−128/3 is a vertical line, there is no y-intercept and the slope is undefined.

Step-by-step explanation:

Hope it helps :)

find the measure of the angle
I-ready
Please help

Answers

Answer:

95

Step-by-step explanation:

if you see that line in between 90, 100 that is a five and it is past 90 making it 95

The measure of the angle from the given figure is 85°.

In the given figure, the measure of angle is given.

What is an angle?

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

In the given figure, the ray is between 90° and 80°

So, the measure of the angle is 85°

Hence, the measure of the angle from the given figure is 85°.

To learn more about an angle visit:

https://brainly.com/question/28451077.

#SPJ2

7=-10s-3
What is does s equal?

Answers

Answer:

s = -1

Step-by-step explanation:

-10s-3=7

add 3 on both sides: -10s=10

divide both sides by -10: s=-1

I don't understand how to create the graph. Do I put the amount of each or the cost? Is my inequality even correct?​

Answers

Answer:

so you're going to plot how many brownies you'll buy in relation to cookies like the 6 cookies and 3 brownies

NEED HELP ASAP!! WILL GIVE BRAINLIEST!!

Answers

what do you need answered the opp length?

Answer:

6^2-3^2=36-9=27

squareroot of 27= 3[tex]\sqrt{3}[/tex]

Step-by-step explanation:

4x - Зу = -3
4x + y = 17
Explain how as well

Answers

Step-by-step explanation:

I will solve your system by substitution.

(You can also solve this system by elimination.)

4x+y=17;4x−3y=−3

Step: Solve4x+y=17for y:

4x+y+−4x=17+−4x(Add -4x to both sides)

y=−4x+17

Step: Substitute−4x+17foryin4x−3y=−3:

4x−3y=−3

4x−3(−4x+17)=−3

16x−51=−3(Simplify both sides of the equation)

16x−51+51=−3+51(Add 51 to both sides)

16x=48

16/x = 48/16

(Divide both sides by 16)

x=3

Step: Substitute 3 for x in y=−4x+17:

y=−4x+17

y=(−4)(3)+17

y=5(Simplify both sides of the equation)

Answer:

x=3 and y=5

How to do 4 x 4 x 4 using an exponent

Answers

Answer:

4^3

Step-by-step explanation:

4×4×4

Multiply 4 and 4 to get 16.

16×4

Multiply 16 and 4 to get 64.

64=4^3

A die is thrown once. What is the probability that the score is a factor of 6?

Answers

Answer:

Probability= numbers of trials in which the event occurs/total number of outcomes. =4/6 =2/3 Therefore the probability of getting a factor of 6 is 2/3.

Step-by-step explanation:

What happened to the original demand curve?

Answers

We have to change the numbers in the demand schedule and this will SHIFT the demand curve. If there is an increase in demand ( D) the demand curve moves to the RIGHT. ... A decrease in demand will then shift the demand curve to the LEFT. For each price on the demand schedule, the quantities decrease.

what is= X less then 12

Answers

Answer:

12-x

Step-by-step explanation:

Area is expressed in

Answers

Answer:

the answer should be square units

Area is expressed in Square units



An account earns simple interest. Find the principal.
Interest earned: $27
Principal: ?
Interest rate: 1.5%
Time: 2 years
The principal is $

Answers

Answer:

$ 900

Step-by-step explanation:

Simple interest = Principle * Time * Rate / 100

Now by substituting :

27 = Principle * 2 * 1.5 / 100

Principle = 27 * 100 / 2 * 1.5

Principle = 2700 / 3

So Principle = $ 900

Hope it helps

Does the point (–1, 5) satisfy the equation y = 7x?

Answers

Answer:

no

Step-by-step explanation:

Substitute the x- coordinate into the equation and if the result is equal to the y- coordinate then it satisfies the equation, that is

y = 7(- 1) = - 7 ≠ 5

Then (- 1, 5 ) is not a solution to the equation

Equivalent factored form for 10x^2+15x-9=2x^2+x-14

Answers

Factored form - x= -1/2, -5/4
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