PLEASE HELP!!
For systems of inequalities, graph each system on a coordinate plane to show the solution region. Next, use the graph to answer the question. Be sure to define your variables and show all of your work.
Q.1. The potter at a pottery store makes two sizes of vases. The larger size takes six hours to make, and the smaller size takes 1.5 hours to make. The potter works 30 hours a week. She needs to make at least six total vases a week, including at least two of each size. Give one example of how many of each type of vase the potter can make.
Answers
Answer:
Step-by-step explanation:
Let x and y be the large (x) and small (y) vases the potter makes in one week.
We are told that the large and small vases require 6 hours for each large(x) and 1.5 hours for each small (y) vase. The combination of large and small vases made in one week thus requires a total time of:
6x + 1.5y = total hours/week
We are told that the potter works 30 hours per week, so:
6x + 1.5y = 30 hours
We also learn that she needs to make at least 6 vases in a week, so:
x + y => 6
Plot the two equations:
6x + 1.5y = 30, and
x + y => 6
This will produce the attached grap, Vases1. The inequality appears as the shaded area in the upper area. Any point in the shaded area satisfies the inequality of x + y => 6. The x and y intercepts are at (0,6) and (6,0), representing either all large (x) or small vases (y).
The lines intersect at (4.67,1.33). This represents a fictional combination of 4.67 large and 1.33 small vases. This results in 6 vases (4.67 + 1.33) that require a total of 30 hours to make (6*4.67 + 1.5*1.33) = 30 hours. If you want to select whole number answers, they appear at (0,6), (2,4), (4,2), and (6,0). (x,y or large,small). All combinations result in 6 vases, but eould require less than the 30 hours of time available. Any whole number combination in the area below the line 6x + 1.5y = 30, but above the line x+y =>6 are valid, such as (4,4). This area is shown in Vases2. The valid area for making choices has the darkest shade, where the two inequalities are both satisfied.
Related Questions
algebra 7.5 factor the polynomial
x^2+5x+4
Answers
Answer:
( x + 4 ) ( x + 1 )
Step-by-step explanation:
x² + 5x + 4
= x² + 1x + 4x + 4
= x ( x + 1 ) + 4 ( x + 1 )
= ( x + 4 ) ( x + 1 )
Hence, factorised.
48 packages /second = packages /minute
Answers
Answer:
2880 packages/min
Step-by-step explanation:
48 × 60 = 2880
Answer:
2,880 packages per minute
Step-by-step explanation:
Given:
60 seconds per minute
48 packages/second
Solve:
48 package/sec x 60 sec = 2,880 packages/min
Hope this helps!
HELP ASAP THIS DUE TODAY FOR MY BRO
Answers
Answer:
I think it's 10 or 10.5 not sure
Step-by-step explanation:
For each expression, select all equivalent expressions from the list.
(a) 11x - 4x + 10x
O 7x + 10x
0 17 + x
10x - 7x
17x
(b) 2(1+8y)
2+1.2 +8y
2 +16y
02.1+2.8y
O2 + 8y
PLEASE HELP I CANT FIGURE THEM ALL OUT!!!
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's find the equivalent expressions ~
#1. PROBLEM
[tex]\qquad \tt \dashrightarrow \:11x - 4x + 10x[/tex]
[tex]\qquad \tt \dashrightarrow \:21x - 4x[/tex]
[tex]\qquad \tt \dashrightarrow \:17x[/tex]
#2. PROBLEM
[tex]\qquad \tt \dashrightarrow \:2(1 + 8y)[/tex]
[tex]\qquad \tt \dashrightarrow \:(2 \times 1) + (2 \times 8y)[/tex]
[tex]\qquad \tt \dashrightarrow \:2 + 16y[/tex]
HELP ITS MATH ITS FOR MY COUSIN RN
Answers
Answer:
Option D: $32.50
Step-by-step explanation:
3 × 8.50 = 25.50
2 × 5 = 10
[25.50 + 10] - 3
[35.50] - 3
= $32.50
Solve the following:
Answers
-7^2 = -(7 x 7) = -49
---Because the negative is on the outside and there are no parenthesis, the product will be negative
-49 - - 1 = -49 + 1 = -48
---Subtracting a negative is the same thing as adding a positive!
Answer: -48
Hope this helps!
Solve the following please:
Answers
Answer: 161
[3×2^5+13×(−2)]+7[8−(4−9)]
Calculate 2 to the power of 5 and get 32.
3×32+13(−2)+7(8−(4−9))
Multiply 3 and 32 to get 96.
96+13(−2)+7(8−(4−9))
Multiply 13 and −2 to get −26.
96−26+7(8−(4−9))
Subtract 26 from 96 to get 70.
70+7(8−(4−9))
Subtract 9 from 4 to get −5.
70+7(8−(−5))
The opposite of −5 is 5.
70+7(8+5)
Add 8 and 5 to get 13.
70+7×13
Multiply 7 and 13 to get 91.
70+91
Add 70 and 91 to get 161.
161
Answer:
Step-by-step explanation:
Use PEDMAS
[3 *2⁵ + 13*(-2) ] + 7[8-(4-9) ] = [3*2⁵ + 13*(-2)] +7[ 8 - (-5) ]
{calulate the inner most parentesis (4- 9 = -5)}
= [3*32 + 13*(-2) ] + 7* [ 8+5]
{Find the exponent 2⁵ = 32}
= [ 96 + (-26) ] + 7* 13
{Here 3 & 32 aree multiplied & 13 and (-2) are multiplied and 8 is added to 5}
= 70 + 91
= 161
the sum of 10 observation is 110 then the mean is
A)11
B)10
C)7
D)5
Answers
Answer:
11
Step-by-step explanation:
[tex]since \: mean = \frac{sum \: of \: observations}{number \: of \: observations} \\ mean = \frac{110}{10} = 11 \\ therefore \: the \: mean = 11[/tex]
What is the slope of the line that passes through the points
(-3, 5) and (4, 2)?
A) 1/7
B) -3/7
C) -7/3
D) I don't know
Answers
[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{(-3)}}}\implies \cfrac{-3}{4+3}\implies -\cfrac{3}{7}[/tex]
Events A and B are overlapping.
P(A) =4/11 ; P(B) =3/11 , P(A and B) = 2/11.
Find P(A or B).
7/11
5/11
8/11
9/11
Answers
5/11 is the final answer.
P(A) = 4/11P(B) = 3/11When events are overlapping
formula: P(A or B) = P(A) + P(B) - P(A and B)
=======
P(A or B) = 4/11 + 3/11 - 2/11
P(A or B) = 7/11 - 2/11
P(A or B) = 5/11
Answer:
5/11
Step-by-step explanation:
Given:
P(A) = 4/11P(B) = 3/11P(A ∩ B) = 2/11We can construct a Venn diagram to help answer this question (see attached).
Place 2/11 in the overlapping part. Then calculate the remaining probabilities:
P(A) - P(A ∩ B) = 4/11 - 2/11 = 2/11
P(B) - P(A ∩ B) = 3/11 - 2/11 = 1/11
P(A' ∩ B') = 1 - 5/11 = 6/11
So P(A ∪ B) = 2/11 + 2/11 + 1/11 = 5/11
How many litres can 5 get from 3,500
Answers
Its simple, really. The answer would be 3,500 divided by 5. The answer would be 700.
what is the sum of 7x/ x^2 - 4 and 2 / x + 2?
Answers
The sum of two given algebraic expressions is (9x-4)/(x²-4). Therefore, option C is the correct answer.
What is addition of algebraic expression?Addition of Algebraic Expressions is the process of collecting like terms and adding them. Identify and add the coefficients of like terms and sum them to find the final expression of given problems.
The given algebraic expressions are 7x/x²-4 and 2/x+2
Here, 7x/x²-4 can be written as 7x/(x+2)(x-2)
Now, 7x/x²-4 + 2/x+2
= 7x/(x+2)(x-2) + 2/x+2
= (7x+2(x-2))/(x+2)(x-2)
= (7x+2x-4)/(x²-4)
= (9x-4)/(x²-4)
Therefore, option C is the correct answer.
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Can someone help me please!!
Answers
Answer:
40°
Step-by-step explanation:
The red 75° curve means that both angles must sum up to 75°The question provides two angles 35° and n°Using math, you can do:n° + 35° = 75°Subtracting 35° from both sides of the equation:n° = 75° - 35° = 40°Answer:
40°
Step-by-step explanation:
if the measurement of the two angles combined is 75 and one of the angles is 35, we can subtract 35 from 75 to get 40, which should be the answer for n, and you can check it by adding 40 and 35 to get 75, the total of both angles
A soup can has a diameter of 8 cm and a height of 12 cm. What is the volume of the soup can? Use 3.14 for Pi.
A cylinder has a height of 12 centimeters and diameter of 8 centimeters.
192.00 cubic centimeters
301.44 cubic centimeters
602.88 cubic centimeters
2,411.52 cubic centimeters
Answers
2 (y+5) +3y=25 I need to try to get th3 variable by itself
Answers
using the rule y=8x + 5 find the value of y when x is 6
Answers
Answer:
y = 8x + 5
y = 8 * 6 + 5
y = 48 + 5
y = 53
Pls help me I need the answer with how u did it pls
and the quis Solve for x, then find the measure of the angle given
Answers
Answer:
Step-by-step explanation:
finding x°:
since 83° and x° are alternate angles:
x° = 83°
also angleABC is x°
Complete the table for the given rule.
Rule: y=x+8y=x+8y, equals, x, plus, 8
xxx yyy
222
000
444
Answers
The completed table for the rule y = x+6 for given values of x (2,0,4) will have the corresponding values of y as 10, 8, 12 respectively.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
How to evaluate a given mathematical expression with variables if values of the variables are known?You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.
For this case, we're given the rule y = x + 8
The table given is:
x y
2
0
4
Evaluating 'y' for the given values of x from the table according to the rule 'y = x + 8', we get:
Case 1: x = 2y = x + 8
y = 2 + 8
y =10
Case 2: x = 0y = x + 8
y = 0 + 8
y =8
Case 3: x = 4y = x + 8
y = 4 + 8
y =12
Thus, the completed table would be:
x y
2 10
0 8
4 12
Thus, the completed table for the rule y = x+6 for given values of x (2,0,4) will have the corresponding values of y as 10, 8, 12 respectively.
Learn more about function here:
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7. Elise sells her framed drawings
She has 4 prints of one drawing
and 6 prints of another drawing. If
she has 3 frames, how many more
frames does she need?
Answers
Pls help me there's a link connected to this !!!
Answers
Answer:
this should help ya ........
Put
14
4
, 8, 5, and 1 in order from least to greatest.
Answers
Answer:
1,4,5,8,14
Step-by-step explanation:
count up and see which ones come up first
11
50
11 What is the solution to 8x - 3(2x - 4) = 3(x - 6)?
-
No solution
2
30
FO
EXTD 10:36
acer
Answers
x=30
Solution:First, use the distributive property:8x-3(2x-4)=3(x-6)8x-6x+12=3x-18Simplify:2x+12=3x-182x-3x=-12-18-x=-30x=30Hope it helps.
Do comment if you have any query.
Which statement is most likely to be true? the scores of mrs. scott’s class are the closest to the class mean. the scores of mr. phan’s class are the closest to the class mean. the scores of mrs. jones’s class are the closest to the class mean. the scores of mrs. rijo’s class are the closest to the class mean.
Answers
Answer:
The scores from Mrs. Rijo’s class are the closest to the class mean.
Step-by-step explanation:
Just took the test
Which expression is equivalent to (7s - 2t) – (3s - 4st + 7t)?
A. 4s – 4st + 5t
B. 4s + 4st + 5t
C. 4s – 4st – 9t
D. 4s + 4st – 9t
Answers
Answer:
A
Step-by-step explanation:
7s-3s-2t+7t-4st
4s+5-4st
Help its due soon pls
Answers
Answer:
D
Step-by-step explanation:
The dots make a trapozoid
Kent multiplies both sides of the equation below by an expression. k startfraction 12 over k endfraction = 8 then he moves all the terms to one side of the equal sign in the resulting equation. which equation must he solve now? k squared minus 8 k minus 12 = 0 k squared 8 k 12 = 0 k squared minus 8 12 = 0 k squared minus 8 k 12 = 0
Answers
The resulting value of k is 12/7.
What is a fraction?Fractions are the numerical values that are a part of the whole. A whole can be an object or a group of objects.
The steps below are presented in order to arrive at the value of k of the given equation.
First, multiply both sides of the equation by the variable k since the left-hand side of the equation has it in the denominator.
The solution of the equation will be;
[tex]\rm \dfrac{k+12}{k}(k) = 8(k)\\\\\dfrac{k+12}{k}=8\\\\k+12=8k\\\\8k-k=12\\\\ 7k=12\\\\k =\dfrac{12}{7}[/tex]
Hence, the resulting value of k is 12/7.
To know more about fractions click the link given below.
https://brainly.com/question/3174308
help need in 30 minute
Answers
Answer:
8 bracelets
Step-by-step explanation:
Each time when we we cut the ribbon for making a ribbon, the length will be reduced. So, repeated subtraction is division.
To find the number of bracelets, divide the total length of the ribbon by the length required for making a bracelet.
Fraction division:
Use KCF method
Step1: Keep the first fraction
Step2: Change division to multiplication
Step3: Flip the second fraction
Number of bracelets = total length ÷ length required for making a bracelet.
[tex]= 5\dfrac{1}{3} \div \dfrac{2}{3}\\\\= \dfrac{16}{3} \div \dfrac{2}{3}\\\\= \dfrac{16}{3}*\dfrac{3}{2}\\\\= 8[/tex]
PLS HELP ME
To solve 1/4÷8, Jordan thinks of dividing a pancake into 4 equal parts, dividing one of those parts into 8 equal pieces, and then eating one of those pieces.
What fraction of the pancake is Jordan thinking about eating?
Enter your answer as a fraction in simplest form by filling in the boxes
⊆⊇
⊂⊃
Answers
Answer:
1/32
Step-by-step explanation:
1st step: 1/4 divided by 8, which is 1/4 divided by 8/1
Then for the 2nd step, you have to find the reciprocal of the 2nd fraction, so you just reverse it
2nd step: 1/4 X 1/8
3rd step. 1X1/4X8 = 1/32
You can also think of it like this. He started with 4 pieces. Each piece was then divided into 8 parts. So 8X4=32 is the total number of pieces. He's only eating 1 of those, so he's only eating 1/32
Solve the right triangle. Round your answers to the nearest tenth
Answers
B=40°
a=15.9
c=24.8
EXPLANATION:
B= 180°-(50°+90°) =40°
cosB=opposite/hypotenus
cos(40)=19/c
c=19/cos(40)
=24.8
a^2 + b^2 = c^2
a^2 + 19^2 = 24.8^2
a^2 = 24.8^2 - 19^2
= 615.04 - 361
= 254.04
a= redical(254.04) = 15.9
HOPE THIS HELPS :)
What is the solution to the equation startfraction y over y minus 4 endfraction minus startfraction 4 over y 4 endfraction = startfraction 32 over y squared minus 16 endfraction? y = –4 and y = 4 y = 0 all real numbers no solution
Answers
The solution to the given equation is 4 and -4.
What is a fraction?Fractions are the numerical values that are a part of the whole.
A whole can be an object or a group of objects.
The given equation is;
[tex]\rm \dfrac{y}{y - 4}- \dfrac{4}{y + 4}= \dfrac{32}{y^2- 16}[/tex]
A fraction is used to represent the portion/part of the whole thing.
The solution of the fraction is determined in the following steps given below.
[tex]\rm \dfrac{y}{y - 4}- \dfrac{4}{y + 4}= \dfrac{32}{y^2- 16}\\\\\rm \dfrac{y(y+4)-4(y-4)}{(y - 4)(y+4)}= \dfrac{32}{(y-4)(y+4)}\\\\y^2+4y-4y+16=32\\\\y^2=32-16\\\\y^2=16\\\\y=\pm 4[/tex]
Hence the solution to the given equation is 4 and -4.
Learn more about fractions here;
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Answer:
A Edge 2022
Step-by-step explanation: