Complete question :
Cheddar Cheese
$3/lb
Swiss Cheese
$5/lb
Keisha is catering a luncheon. She has $30 to spend on a mixture of Cheddar cheese and Swiss cheese. How many pounds of cheese can Keisha get if she buys only Cheddar cheese? Only Swiss cheese? A mixture of both cheeses?
What linear equation in standard form can she use to model the situation?
Answer:
10 lbs of cheddar cheese
6 lbs of Swiss cheese
$3a + $5b = $30
Step-by-step explanation:
Given that :
Cheddar cheese = $3/lb
Swiss cheese = $5/lb
Total amount budgeted for cheese = $30
How many pounds of cheese can Keisha get if she buys only Cheddar cheese?
Pounds of cheedar cheese obtainable with $30
Total budget / cost per pound of cheddar cheese
$30 / 3 = 10 pounds of cheedar cheese
Only Swiss cheese?
Pounds of cheedar cheese obtainable with $30
Total budget / cost per pound of Swiss cheese
$30 / 5 = 6 pounds of Swiss cheese
A mixture of both cheeses?
What linear equation in standard form can she use to model the situation?
Let amount of cheddar cheese she can get = a
Let amount of Swiss cheese she can get = b
Hence,
(Cost per pound of cheddar cheese * number of pounds of cheddar) + (Cost per pound of Swiss cheese * number of pounds of Swiss cheese) = total budgeted amount
(3 * a) + (5 * b) = $30
$3a + $5b = $30
is the product of 8 negative numbers and 7 positive numbers a positive number or a negative number?
Answer:
negative
Step-by-step explanation:
Positive numbers do not change the polarity of a number in multiplication, only negative numbers.
−7x + 25 = 48 Step 1: −7x + 25 − 25 = 48 − 25 Step 2: −7x = 23 Step 3: negative seven times x over seven = twenty-three over seven Step 4: x = twenty-three over seven Step 1: He should have added 25 to each side. Step 1: He should have divided both sides by −7. Step 3: He should have divided both sides by −7. Step 3: He should have multiplied both sides by −7.
Answer:
Step 3: He should have divided both sides by −7
Step-by-step explanation:
Incorrect calculation
−7x + 25 = 48
Step 1: −7x + 25 − 25 = 48 − 25 Step 2: −7x = 23
Step 3: negative seven times x over seven = twenty-three over seven
-7*x/7 = 23/7
-7x/7 = 23/7
Step 4: x = twenty-three over seven
Correct calculation
−7x + 25 = 48
Step 1: −7x + 25 − 25 = 48 − 25 Step 2: −7x = 23
Step 3: negative seven times x over seven = twenty-three over seven
-7*x/-7 = 23/-7
-7x/-7 = 23/-7
Step 4: x = twenty-three over negative seven
x = -23/7
In standard form 0.0325 is written as?
Answer:
In standard form 0.0325 is written as 0.0325
In scientific notation it is written as:
[tex]3.25^{ - 2} [/tex]
The standard form of 0.0325 is written as
[tex] = 3.25 \times {10}^{ - 2} [/tex]
Given:
0.0325
Writing in standard form means writing in scientific notation (power of be 10)
When moving decimal point to the right, it is raised to a negative power of the number of times the decimal is moved.When moving decimal point to the left, it is raised to a positive power of the number of times the decimal is moved.0.0325
The decimal point will be moved 2 times before it gets between the be significant value of 3 and 2
Therefore,
0.0325
[tex] = 3.25 \times {10}^{ - 2} [/tex]
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Complete each of the following statements given z = 1 - 2i and w = -3 + 5i
The answers would be z + w = -2 + 3i, z - w = 4 - 7i, and w - z = 4 + 7i after adding and subtracting two complex numbers.
What is a complex number?It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
It is given that:
The complex numbers are:
z = 1 - 2i and w = -3 + 5i
z + w = 1 - 2i - 3 + 5i
z + w = -2 + 3i
z - w = 1 - 2i + 3 - 5i
z - w = 4 - 7i
w - z = 4 + 7i
Thus, the answers would be z + w = -2 + 3i, z - w = 4 - 7i, and w - z = 4 + 7i after adding and subtracting two complex numbers.
Learn more about the complex number here:
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Answer:
3
4
7
Step-by-step explanation:
got it right on edge
OMGGG CAN YALL ANSWER THIS !
In a newspaper, it was reported that the number of yearly robberies in Springfield in 2012 was 90, and then went down by 50% in 2013. How many robberies were there in Springfield in 2013?
Answer:
m
Step-by-step explanation:
m
Answer:
There were 140 robberies in Springfield in 2012.
Step-by-step explanation:
Let's marked (named) robberies in 2012 with x, which is worth 100%
196 robberies in 2013 worth 100% + 40% = 140%
Now we will make proportion
x : 196 = 100 : 140
When we multiply external and internal members we get
140 x = 196 · 100 => 140 x = 19600 => x = 19600/140 = 140
x = 140 robberies in 2012
The probability of an outcome that lies within 68% of the mean is a good indicator that it lies in which standard deviation?
A. There is a probability that the outcome is within 1 standard deviation of the mean.
B. There is a probability that the outcome is within 3 standard deviations of the mean.
C. There is a probability that the outcome is within 2 standard deviations of the mean.
D. Standard deviations are not reliable, so the probability cannot be determined.
Answer:
The correct answer is B or option 2.
Given the exponential function [tex]f(x) = -2(0.8)^x[/tex], what is the value of f(x) when x =0?
Work Shown:
[tex]f(x) = -2(0.8)^x\\\\f(0) = -2(0.8)^0\\\\f(0) = -2(1)\\\\f(0) = -2\\\\[/tex]
In the third step, I used the idea that [tex]x^0 = 1[/tex] where x is any nonzero number.
y+1=1/2(x-8) in standard form- pls explain
Lucy can buy a pair of shoes from 4 different retailers. Which is the best buy?A.Online Shoes for $32, plus a sales tax of 8% and shipping and handling costs of $6B.From the Best Buy Shoes catalog for $35 plus 8% sales tax and free shipping and handling.C.Local shoe store for $38 with 15% discount and 8% sales taxD.Local shoestore for $40 with 25% discount and 8% sales tax
9514 1404 393
Answer:
D. $40 with 25% discount
Step-by-step explanation:
All of the options have 8% sales tax, so that is not important to choosing the best deal.
The store with the lowest price after discount is D (local shoe store #2), as the discount brings the price down to $30 before tax.
The price at store C (local shoe store #1) will be 15% less than $38.00, so about $5.70 less. That is not as low a price as at store D.
The best buy is had at store D.
__
In the spreadsheet, we have multiplied the base price by (1+discount) then added shipping. That total is multiplied by (1+tax rate).
Please help much appreciate!
Complete this item Simplify square root 32/5
Answer:
4√10
5
Step-by-step explanation:
Answer:
Sorry I know the answer but it won't let me type it the right way
Step-by-step explanation:
PLZ HELP I WILL GIVE 20 POINTS WHOEVER ANSWERS FIRST:
Answer:
-2
Step-by-step explanation:
So to find slope you just subtract y^1 - y^2 and divide it by x^1 - x^2
The first point is (2, 1)
The second is (0, 5)
1 is our y^1 and 5 is our y^2
1 - 5 = -4
2 is our x^1 and 0 is our x^2
2 - 0 = 2
So our slope is -4/2, reduced its -2
I hope this helped, please mark Brainliest, thank you!
HELP PLEASE ASAP
Solve for x in the diagram below
Answer:
29
Step-by-step explanation:
(x+12) + 100 + x = 180
2x + 112 = 180
Subtract 112 from both sides
2x = 58
Divide 2 from both sides
x = 29
PLEASE ANSWER ASAP!!!
line g has and undefined slope. If line k contains the point (-6,3) and is parallel to line g, what are the x-coordinates of the other points that lie on the line?
Answer:
-6 is the x-coordinate value
Step-by-step explanation:
Mathematically, slope can be calculated as;
m = (y2-y1)/(x2-x1)
For the value of the slope to be undefined, it means that we are actually dividing by zero
For us to be dividing by zero, it actually means that there is no change in the x-value
The unchanging x-value is what has caused us to have an undefined slope value
Since line k and line g are parallel, their slopes are equal and the slope of k is undefined too
So the x-coordinates of the other points that lie on the line that we used in calculating the slope is -6
At the local dairy farm, Kareem buys a 32-oz container of yogurt for $2.56. Jonah buys a 6-oz container of yogurt for $0.48. Are the cost, y, in dollars and the amount of yogurt, x, proportional? Explain. Write an equation to represent this relationship.
I need the answer asap plsssssssss ty
Answer:
Yes, y = .08x
Step-by-step explanation:
Yes, because if you divide 2.56 by 32 you get .08.
If you multiply .08*6 = .48.
The equation would be y = .08x
If y is the cost and x is the amount of yogurt then this equation makes sense.
Check 32oz
y = .08(32)
y = 2.56
Hope this helps ya!!
It takes 16 beads to make 4 bracelets. What is the constant of proportionality that relates the number of bracelets made, y, to the number of beads used, x?
Answer:
4
Step-by-step explanation:
Given that:
Number of beads used to make 4 bracelets = 16
Number of bracelets made = [tex]y[/tex]
Number of beads used = [tex]x[/tex]
To find:
The constant of proportionality = ?
Solution:
Number of bracelets made is proportional to Number of beads.
i.e.
[tex]y \propto x[/tex]
OR
[tex]y=k\times x[/tex]
Where [tex]k[/tex] is the constant of proportionality.
We are given that:
when [tex]x = 12, y = 4[/tex]
Putting the values in the above equation:
[tex]4 = k \times 16\\\Rightarrow \bold{k = 4}[/tex]
Therefore, the constant of proportionality is 4.
what is the square root of 199 lie between
Hi!
I'm assuming the question means what integers, so let's figure it out.
Starting from 12, 12 squared is 144, or the square root of 144 is 12.
13 squared is 169, or the square root of 169 is 13.
14 squared is 196, or the square root of 196 is 14.
15 squared is 225, or the square root of 225 is 15.
Based on that list of numbers, we can determine that the square root of 199 lies between the square root of 196 and the square root of 225 -- aka 14 and 15.
Over the next 12 months you have to read more than 48 books you have to read x books per month the inequality 12x >48 solve this inequality to find the number of books you have to read per month
Answer:
4
Step-by-step explanation:
12x>48 so divide 48 by 12 to solve for x so x is 4
i need help plzzzzsww
it's the third one, slope -1 y intercept 3
A train covers 165 km in 1.5 hours. How far will the train travel in 2.2 hours if it maintains the same speed?
Answer:
242
Step-by-step explanation:
165 ÷ 15 = 110
110 × 2.2 = 242
The distance that trains travel in 2.2 hours with the same ratio or same speed will be 242 km.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given,
A train covers 165 km in 1.5 hours.
The ratio of distance covered to the number of hours is 165/1.5.
Let's say in 2.2-hour train travel x number of km.
The ratio of distance covered to the number of hours x/2.2
Both ratios must be the same,
x/2.2 = 165/1.5
x = 110 x 2.2 = 242 km
Hence "The distance that trains travel in 2.2 hours with the same ratio or same speed will be 242 km".
For more information about ratios and proportions,
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Which of the following relations is a function?
OA. (9,-10).(-8, 7), (9,6), (-8, 12)
OB. (-8, 0), (-1,5). (-8, -3), (5,9)
OC. (-1,-2), (-8,-5), (5,8). (5,2)
OD. (-8,2).(-1,3), (5,7), (9,2)
7. Constructed Response: Work and answer will be scored on a 3-point
rubric. A garden is bordered on three sides by a tiled walkway. (see
diagram below). PART A: Write a polynomial that represents the total area
of the garden AND the walkway combined, in standard form. *
Fence
x ft
x ft
Garden
10 ft
-25 ft
Walkway
x ft
Answer:
the answer is -25
Step-by-step explanation:
the answer is -25
It's math Question i need Your help---)
Answer:
1no
125
2no
12.9
hope that this will help u
Can somebody help me with these 2? Will mark brainliest!
Answer:
Number 1 is 0.3
Number 2 is is choice 2
If 20 apples cost $7, what is the unit cost?
Answer:
35 cents per apple
Step-by-step explanation:
its 7 / 20 and you get 0.35
5x + 2y = 9
-6x - 2y = -14
Answer:
What are you suppose to be finding? I am confused finding the value of x??
Step-by-step explanation:
HELPP PLEASE !!!!!!!!! ASAP
Answer:
x² + 5x + 6 = 0
Step-by-step explanation:
The zeros of quadratic function is (- 3) and (- 2)
The coordinates of vertex are (- 2.5, -0.25)
(x + 3)(x + 2) = 0
x² + 5x + 6 = 0
You are given a various set of values: xbar = 12 ybar = 16 r = .46 Sy = 18 Sx = 6 Find a and b, then write them as an equation for a line. b = a = yhat =
Answer:
Slope, b = 1.38 ; intercept, a = - 0.56 ;
Y = - 0.56 + 1.38x
Step-by-step explanation:
Given that :
xbar = 12
ybar = 16
r = .46
Sy = 18
Sx = 6
The equation of a line can be expressed as :
Y = a + bx
Where ;
a = intercept ; b = slope ; x = independent variable ; y = dependent variable
The slope b ; can be obtained using the relation :
b = r(Sy / Sx)
= 0.46(18/6)
= 0.46(3)
= 1.38
The intercept a, can be obtained using the relation :
Ybar - b(Xbar)
16 - 1.38(12)
16 - 16.56
a = - 0.56
Hence ;
Slope, b = 1.38 ; intercept, a = - 0.56
Th equation of the line will be :
Y = - 0.56 + 1.38x
On a recent day eight-year-olds were worth $11 and €32 where where is $44. Enter an equation of the Fort on a recent day eight euros worth $11 and €32 were where is $44. Enter an equation of the form Y equals KX to show the relationship between the number of euros and the value in dollars. Let why is a value in dollars and XB the number of euros
Answer:
sry
Step-by-step explanation:
i am new to this
174 i think
Answer:
174
Step-by-step explanation:
You have $20 to spend on taxi fare. The ride costs 5 plus $2.50dollar sign, per kilometer.
Write an inequality to determine the distance in kilometers, , you can ride for $20.
Answer: The maximum distance is 6 km
Step-by-step explanation:Let
d-----> represent the distance in kilometer
we know that
------> inequality that represent the situation
Solve for d