Answer:6/13/3
Step-by-step explanation:look at how the year’s difference are
Assuming x to be the number of loaves of white bread and y to be the number of brown bread, how would the problem be represented in form of an inequality
For the given number of loaves of white and brown bread , the inequality representation of the problem is given by (x + y ) ≤ 900.
As given in the question,
Types of bread baked in bakery = 2 types
Let x represent the number of loaves of white bread
And y represent the number of loaves of brown bread
Total number of loaves which can be stored in the store room is less than or equal to 900.
For the given situation representation of inequality is given by:
x + y ≤ 900
Therefore, for the given number of loaves of white and brown bread , the inequality representation of the problem is given by (x + y ) ≤ 900.
The complete question is :
Betty's bakery bakes white bread and brown bread. The loaves of bread are then stored in a store room that can house only 900 loaves. The loaves are baked during the day, and in the evening they are delivered to convenience stores. At all times, the number of loaves in the store room must be less than or equal to 900. Part A Assuming x to be the number of loaves of white bread and y to be the number of loaves of brown bread, how would the problem be represented in the form of an inequality?
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What is the slope of the line passing through the points (2, 4) and (5, 6)?
A. 6/11
B. -2/3
C. 7/10
D.2/3
Answer:
D, 2/3
Step-by-step explanation:
Using the Slope formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] we can find the slope of the line.
Input values:
[tex]m=\frac{6-4}{5-2}=\frac{2}{3}[/tex]
[tex]m=\frac{2}{3}[/tex]
A scientist mixes water (containing no salt) with a solution that contains 35% salt. She wants to obtain 210 ounces of a mixture that is 20% salt. How many ounces of water and how many ounces of the 35% salt solution should she use?
120 ounces of 35% salt and 90 ounces of water is needed to obtain 210 ounces of a mixture that is 20% salt.
What is an equation?An equation shows the relationship between two or more numbers and variables.
Let x represent the amount of water and y represent the amount of 35% solution.
She wants to obtain 210 ounces of a mixture that is 20% salt. Hence:
x + y = 210 (1)
Also:
0% of x + 35% of y = 20% of 210
0.35y = 42
y = 120
x + y = 210
x + 120 = 210
x = 90
120 ounces of 35% salt and 90 ounces of water
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Given the equation negative 26 equals y over 13, solve for y.
−2
2
−338
388
pls help I exam!
Answer:
y = -338
Step-by-step explanation:
[tex]-26 = \dfrac{y}{13}[/tex]
Multiply by 13 on both sides.
[tex]-26 \cdot 13 = y[/tex]
[tex]-338 = y[/tex]
y = -338
Answer:
-338
Step-by-step explanation:
-26=y/13
cross multiplying
y=-26×13
y=-338
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 4. If there were 6183 total votes, how many yes votes were there?
The number of yes votes on whether to raise property taxes, using proportions, was of 3345, considering that 6183 total votes.
What is a proportion?A proportion is a fraction of a total amount, and equations are built with these fractions and the rates in the context of a problem to find the desired measures in the problem using basic arithmetic operations such as multiplication and division.
One application of proportions is for ratio problems, as one ratio between two amounts a and b is given by the division of a by b, and over the total, these rates are:
Fraction of a: a/(a + b).Fraction of b: b/(a + b).The ratio of yes votes to no votes was 5 to 4, hence the fraction of yes votes is given as follows:
5/(5 + 4) = 5/9.
The total number of votes was of 6183, hence the number of yes votes is calculated as follows:
5/9 x 6183 = 3435 total yes votes.
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Original quantity:100 New quantity:106
Original quantity:10 New quantity:16
Original quantity:50 New quantity:56
The percentage increase for each of the given figures are;
a) 6%
b) 6%
c) 12%
What is the percentage Increase?Percentage increase is simply defined as the percentage by which a figure increases. The formula to calculate percentage increase is;
Percentage increase = (Final value - Initial Value)/initial value) * 100%
a) We are given;
Original quantity = 100
New quantity = 106
Thus;
Percentage increase = (106 - 100)/100 * 100%
Percentage increase = (6/100) * 100%
Percentage increase = 6%
b) We are given;
Original quantity = 10
New quantity = 16
Thus;
Percentage increase = (16 - 10)/10 * 100%
Percentage increase = (6/10) * 100%
Percentage increase = 60%
c) We are given;
Original quantity = 50
New quantity = 56
Thus;
Percentage increase = (56 - 50)/50 * 100%
Percentage increase = (6/50) * 100%
Percentage increase = 12%
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Complete question is;
Find the percent increase for the given original and new quantities in parts a through c.
a) Original quantity:100 New quantity:106
b) Original quantity:10 New quantity:16
c) Original quantity:50 New quantity:56
What percent is 199 is 761
Answer:
Step-by-step explanation:
Solutionx% of 199 is 761 is 382.41206…% Answer
Convert x% into a decimal and multiply by 199
In order to convert a percent to a ratio, divide it by 100:
a%=a100
a=x
x% =x100
Convert to decimal form=0.01x
Multiply 0.01x by 199
=0.01x· 199=1.99x
Solve 1.99x=761
1.99x=761
x=761/1.99
x=382.41206%
(q − 10) (q² + q +1)
suppose v varies directly as g,and v=36 when x=4.Find v when g=11
Answer:
v = 99
Step-by-step explanation:
given v varies directly as g then the equation relating them is
v = kg ← k is the constant of variation
to find k use the condition v = 36 when g = 4 , then
36 = 4k ( divide both sides by 4 )
9 = k
v = 9g ← equation of variation
when g = 11 , then
v = 9 × 11 = 99
a man travels xkm at 60 km per hour and ykm at 40 km per hour and takes 11/4 hours for the Journey,if the time taken for 5x km at 40 km per hour and 3y km at 50 km per hour is 11 hours 42 minutes find X and Y
The value of the x is 60 km and the value of the y is 70 km.
Given that a man travels x km at 60 km/h and y km at 40 km/h and the total time traveled is 11/4 i.e 2.75 h.
Let's suppose that the time traveled for the x km is t1, time traveled for the y km is t2 and total time is T ,so by using the speed distance formula t1 & t2 will be :
t1 = x/60 and t2 = y/40 ;
T = t1 + t2;
i.e 2.75 = x/60 + y/40 ;
Multiply both sides with 120,
330 = 2x + 3y ............i
Now given that man traveled 5x km at 40 km/h and 3y km at 50 km/h in total time of 11. 7 hours. Similarly the equation for this situation will be :
T = t1 + t2;
x/8 + 3y/50 = 11.7 ;
Multiply both sides with 200, we will get
25x + 12y = 2340 .........ii
Now by simplifying the equation i and ii we will get the value of x and y which are 60 and 70 respectively.
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Complete (assume $60,000 of overhead to be distributed): (Enter amount of overhead allocated as whole dollar amounts. Round your ratio answers to the nearest hundredth.) Sq. Ft. Ratio Amount of Overhead Allocated Dept. A 10,000 A B Dept. B 30,000 C D
The calculation of the ratios, resulting from the square feet occupied by Departments A and B, and the amounts of allocated overhead costs to the two departments are as follows:
Ratio Amount
Department A 1/5 $10,000
Department B 4/5 $40,000
What is the ratio?The ratio is the relative value relationship shared by two or more numbers.
Ratios are fractional values depicted in fractions, decimals, and percentages.
Like proportions, ratios show how much a value or variable is contained in another.
Total overhead = $60,000
Overhead Allocation:Department Square Feet Ratio Amount of Overhead Allocated
Dept. A 10,000 A = 1 B = $15,000 ($60,000 x 1/4)
Dept. B 30,000 = 3 D = $45,000 ($60,000 x 3/4)
Ratios = 10,000:30,000
= 1:3
Sum of Ratios = 4
Thus, based on the ratios, Department A is allocated $15,000, while Department B will be allocated $45,000 of the distributable overhead costs.
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Ayana is 1 1-/22 meters tall. Her little sister Chike is 1
Complete the comparison.
Ayana is
times as tall as Chike.
14/14 meters tall.
Answer:
1.2
Step-by-step explanation:
3/2 ÷ 1 1/4
Answer:
1.2
Step-by-step explanation:
Just did it on khan academy.
Jolyn's points per basketball game are normally distributed with a standard deviation of 7 points. If Jolyn scores 48 points, and the z-score of this value is 3, then what is her mean points in a game?
If Jolyn scores 48 points, and the z-score of this value is 3, then her mean points in this normally distributed game is equal to 27.
How to calculate the mean points?In a normal distribution, the relative score or z-score can be calculated by using this formula:
[tex]z=\frac{x\;-\;u}{\sigma}[/tex]
Where:
x represents the sample score.u represents the mean point.σ represents the standard deviation.Making mean (μ) the subject of formula, we have:
μ = x - zσ x
Substituting the given parameters into the formula, we have;
Mean point, μ = 48 - (3 × 7)
Mean point, μ = 48 - 21
Mean point, μ = 27.
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Find the value of x in 4^x+64^x= 272
Answer:
1.342
Step-by-step explanation:
4^x+64^x=272
4^x+(4^3)^x=272
4^3x+4^x=272
(4^x)^3+4^x=272
(4^x)^3+4^x-272=0
u^3+u-272=0 ==> substitute 4^x with u
Now, use synthetic division to find roots:
[tex]\sqrt[3]{272}[/tex]31 | 1 0 1 -272
[tex]\sqrt[3]{272}[/tex]1 [tex]\sqrt[3]{272^2}[/tex] 272
1 [tex]\sqrt[3]{272}[/tex]1 [tex]\sqrt[3]{272^2}[/tex] 0
4^x=[tex]\sqrt[3]{272}[/tex]
log 4 (4^x)=log 4 ([tex]\sqrt[3]{272}[/tex])=1.342
Tara and friends order a pizza. Tara eats 3 of the 10 slices and pays $4.50 for her share. If Tara has paid atleast her fair share, WRITE, and SOLVE to represent the cost of the pizza.
The equation that represents the cost of the pizza is 10x where x is the cost of one slice of pizza and the value of x is $15.
According to the question,
We have the following information:
Tara eats 3 of the 10 slices and pays $4.50 for her share.
Now, let's take the cost of one slice of the pizza to be $x.
So, we have the following expression:
3x = 4.50
Dividing by 3 on both sides of the equation:
x = 4.50/3
x = $1.50
Now, there are 10 slices in pizza.
Cost of pizza = 10x
Cost of pizza = 10*1.50
Cost of the pizza = $15
Hence, the equation that represents the cost of the pizza is 10x where x is the cost of one slice of pizza and the value of x is $15.
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A restaurant has 60 menu items. Of these menu items, main dishes outnumber
appetizers by a ratio of 4:1. How many more appetizers would the restaurant have
to add to the menu to bring the ratio to 2:1?
Answer:
15 more appetizers
Step-by-step explanation:
A restaurant has 60 menu items. Of these menu items, main dishes outnumber appetizers by a ratio of 4:1. How many more appetizers would the restaurant have to add to the menu to bring the ratio to 2:1?
at a ratio of 4e:1a and having 60e: there are (60/4=15) 15 appetizers
at a ratio of 2e:1a and having 60e: there are (60/2=30) 30 appetizers
Because they already have 15 appetizers, they will need:
30 appetizers - 15 appetizers = 15 more appetizers
What is an equation of a line, in point-slope form, that passes through (1, -7) and has a slope of -2/3?
O y-7= -2/3( x + 1)
Oy+7= -2/3(x - 1)
Oy+7=2/3(x + 1)
O y-7=2/3(x-1)
Answer:
second option
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
here m = - [tex]\frac{2}{3}[/tex] and (a, b ) = (1, - 7 ) , then
y - (- 7) = - [tex]\frac{2}{3}[/tex] (x - 1) , that is
y + 7 = - [tex]\frac{2}{3}[/tex] (x - 1)
Ray's favorite activity is taking a leisurely bike ride through the park after work. Suppose his bike has a flat tire, so he decides to go for a jog instead. Jogging burns 745 calories an hour. How long does he need to jog in order to burn off that same extra doughnut and large frozen latte that he ate that afternoon? The doughnut had approximately 320 calories, and the latte had 820 calories.
Ray have to jog 1.53 hours to burn the calories he had taken by eating doughnut and latte.
Given,
The amount of calorie burns while jogging = 745 calories
The amount of calorie in Doughnut = 320 calories
The amount of calorie in latte = 820 calories
Here,
Total calorie intake by Ray = 320 + 820 = 1140
The calorie burnt while jogging = 745
Number of hours Ray needs to jog for burning 1140 calories;
1140/745 = 1.53 hours.
That is,
Ray have to jog 1.53 hours to burn the calories he had taken by eating doughnut and latte.
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lynn bought a new crash cymbal for her drum set. it costs 120$ but she received a 15% student discount. Roger bought the same crash cymbal from another store for$130 but he used a coupon for $25 off. who got the better deal
lynn got the better deal than Roger.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
lynn bought a new crash cymbal for her drum set. it costs 120$ but she received a 15% student discount.
Convert 15% to decimal form
15%=15/100=0.15
0.15×120=18
So 15% of 120 is 18.
Iynn bought crash cymbal for her drum set is 120-18=102
Roger bought the same crash cymbal from another store for$130
Roger applied coupon of $25.
So 130-25=$105
When we compare both Iynn and Roger, Iynn got the crash cymbal for a better deal.
Hence lynn got the better deal than Roger.
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What is 1+1? is it 11-de-7 or 2
Answer:
2
Step-by-step explanation:
This is because yes. If you add 1 and 1 (use your fingers) and count the two, you simply get 2.
i need the answers to these
Required values are to be put in blank space,
a. 99
b. 10
c. 5
after using logarithmic properties.
What is logarithm?The other technique to write exponents in mathematics is using logarithms. A numbers base based logarithms is equal to other number. A logarithm performs exponentiation's exact opposite function
For example:
If 10² = 100 then log₁₀¹⁰⁰ = 2.
Some logarithmic properties used are:
logₐˣ + logₐⁿ = logₐˣⁿ logₐˣ - logₐⁿ = logₐ[tex]^{x/n}[/tex] logₐ⁽ˣ⁾ⁿ = n logₐˣAll of the questions are based on simple logarithmic properties:
a. In this properties used are,
logₐˣ + logₐⁿ = logₐˣⁿ
log₅⁹ + log₅¹¹ = ?
comparing with general form, we get
log₅⁹ + log₅¹¹ = log₅⁹⁹
b. In this properties used are,
logₐˣ - logₐⁿ = logₐ[tex]^{x/n}[/tex]
? - log₉⁷ = log₉[tex]^{10/7}[/tex]
comparing with general form, we get
log₉¹⁰ - log₉⁷ = log₉[tex]^{10/7}[/tex]
c. In this properties used are,
logₐ⁽ˣ⁾ⁿ = n logₐˣ
log₂[tex]^{1/25}[/tex] = log₂⁽[tex]^{1/5}[/tex]⁾² = -2 log₂⁽⁵⁾
Comparing with general form, we get
log₂[tex]^{1/25}[/tex] = -2log₂⁵
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Simplify (5-3)2+8\2x3-7+1
Answer: 12/0
Step-by-step explanation: (5−3)(2)+8
(2)(3)−7+1
=
(2)(2)+8
(2)(3)−7+1
=
4+8
(2)(3)−7+1
=
12
(2)(3)−7+1
=
12
6−7+1
=
12
−1+1
=
12
0
=
1
0
;)
30 years ago zoe was 2/3 as old as luke, 18 years ago zoe was 5/6 as old as luke how old are they now
Based on the mathematical statements, Zoe is 56 years old and Luke is 66 years old, now
How to determine how old they are now?From the question, we have the following statements that can be used in our computation:
30 years ago
Zoe was 2/3 as old as Luke
18 years ago
Zoe was 5/6 as old as Luke
Let their present ages be represented as
Zoe = x
Luke = y
So, we have the following representations
30 years ago
Zoe was 2/3 as old as Luke
x - 36 = 2/3(y - 36)
18 years ago
Zoe was 5/6 as old as Luke
x - 18 = 5/6(y - 18)
So, we have the following system of equations
x - 36 = 2/3(y - 36)
x - 18 = 5/6(y - 18)
Make x the subject in x - 18 = 5/6(y - 18)
x = 5/6(y - 18) + 16
Substitute x = 5/6(y - 18) + 16 in x - 36 = 2/3(y - 36)
5/6(y - 18) + 16 - 36 = 2/3(y - 36)
Open the brackets
5/6y - 15 + 16 - 36 = 2/3y - 24
Evaluate the like terms
5/6y - 35 = 2/3y - 24
Multiply through by 6
5y - 210 = 4y - 144
Evaluate the like terms
y = 66
Substitute y = 66 in x = 5/6(y - 18) + 16
x = 5/6(66 - 18) + 16
Evaluate
x = 56
Recall that
Zoe = x
Luke = y
So, we have
Zoe = x = 56
Luke = y = 66
Hence, they are 56 and 66 years, now
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Which polynomials are in standard form?
Choose all answers that apply:
(A) 5-2a
B
4-8²-16
5x³+4x¹3x +1
None of the above
By the concept of polynomial, first second and third option are correct.\
What is polynomial?
At first it is important to know about algebraic expression
Algebraic expression consist of variables and numbers connected with addition, subtraction, multiplication and division.
An algebraic expression of the form [tex]a_0+a_1x+a_2x^2 + ....+a_nx^n[/tex] is called a polynomial of degree n
For the First Option
5 - 2a is in the form of [tex]b_0 + a_1a[/tex]
So the first option is a polynomial
For the second option
[tex]4 - 8^2 -16\\4 -64 -16\\-76[/tex]
which is a constant
And all constants are polynomial
So the second option is a polynomial
For the third option
[tex]5x^3 +4x^13x +1\\5x^3 + 12x^2 +1[/tex]
which is of the form [tex]a_0+a_1x + a_2x^2 + a_3x^3, a_1 = 0[/tex]
So the third option is a polynomial
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Division A of Aztec Manufacturing purchases materials to be used in production from an outside supplier for $20 per unit. The same materials are produced by Division B. Division B incurs variable costs of $10 per unit. Currently, Division B is able to sell only 320,000 units to outside buyers out of 400,000 units produced. In this situation, if a transfer price of $18 per unit is established between the two divisions and 80,000 units of materials are transferred to Division A, by what amount would Division B's operating income increase? a.$160,000 b.$960,000 c.$640,000 d.$800,000
The operating income of Division B will increase by $640,000
How to calculate the increase in Division B's operating income?
Given that: Division B incurs variable costs of $10 per unit and a transfer price of $18 per unit is established between the two divisions and 80,000 units of materials are transferred to Division A
This cost of production by division B is:
cost = $10 × 80,000 = $800,000
Division B uses a transfer price of $18 per unit. That is:
Selling price = $18 × 80,000 = $1,440,000
Operating income increase = Selling price - cost
Operating income increase = $1,440,000 - $800,000 = $640,000
Therefore, Division B's operating income increase will be $640,000
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After a 31% mark up, you purchase a new television for $524. What was the original price of the television?
Answer:
162.4$
Step-by-step explanation:
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The next model of a sports car will cost 13.6% less than the current model. The current model costs $42,000. How much will the price decrease in dollars? What
will be the price of the next model?
Answer:
36,288
Step-by-step explanation:
Which of the following is the graph of (x+1)2/9 - (y+4)2/4 = 1?
The answer will be the graph of the straight line.
What is the equation straight line?
Y = mx + c is the general equation for a straight line, where m denotes the line's slope and c the y-intercept. It is the version of the equation for a straight line that is used most frequently in geometry. There are numerous ways to express the equation of a straight line, including point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a geometric object with two dimensions and infinite lengths at both ends. The formulas for the equation of a straight line that are most frequently employed are y = mx + c and axe + by = c. Other versions include point-slope, slope-intercept, standard, general, and others.
Using the equation we can plot the graph in 2D.
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A home developer is planning to build h houses with identical floor plans. Each house will have 3 smaller bedrooms that each require 150 square feet of carpet and 1 larger bedroom that requires 270 square feet of carpet.
The required expression is 3h(150) + h(270) which is the correct answer would be an option (D).
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
Since each house will have 3 smaller bedrooms that required 150 square feet of carpet
⇒ 3 × 150
Each house will have 1 larger bedroom that requires 270 square feet of carpet.
⇒ 270
So, (3 × 150 + 270) × h
⇒ 3h(150) + h(270)
Thus, The required expression is 3h(150) + h(270).
Hence, the correct answer would be an option (D).
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The question seems to be incomplete the completed part has been attached below
PLS HELP ME ASAP IM SO CONFUSED?
Basically, Least Common Multiple(LCM) is a method to find the smallest common multiple between any two or more numbers. A common multiple is a number which is a multiple of two or more numbers. GCF/HCF ( Greatest/Highest Common Factor) is the highest number that divides exactly into two or more numbers.
Answers:
9) LCM of 36, 3, 12 = 36
GCF of 36, 3, 12 = 3
10) LCM of 6, 54, 12 = 108
GCF of 6, 54, 12 = 6
11) LCM of 16, 8, 12 = 48
GCF of 16, 8, 12 = 4