The cost of 19 bottles of juice is $19.76.
What is cost per-unit rate?The "Unit Price" tells us the cost per litre, per kilogram, per pound, etc, of what we want to buy.
Given that, Abigail buys 12 bottles of grapefruit juice at the corner store for a total cost of $12.48 and each bottle costs the same amount,
Cost of one bottle = 12.48/12 = $1.04
Cost of 19 bottles = $1.04*19 = 19.76
Hence, The cost of 19 bottles of juice is $19.76.
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what is the value of X? 16X = 156.8
the given expression is,
16x = 156.8
x = 156.8/16
x = 9.8
thus, the answer is 9.8
Answer:
x = 9.8
Step-by-step explanation:
16x=156.8
x = 156.8/16
x = 9.8
Jacob is buying pizza dough at the store to make pizzas for his family.
For every 15 pizza doughs he buys, he pays $20.
What is the price per pizza dough?
Answer: $1.33
This can be worked out as a simple algebra problem: 15x=20, x being 1 pizza dough. In order to find the value of one pizza dough (x) you need to isolate it. To do that, divide 15 from both sides and you'll be left with x=1.33
15x=20
/15 /15
x=1.33
through -4,-5 parrelel to y=1/2x-4
The equation of the line that passes through the point (-4, -5) and is parallel to y = 1/2x -4 is y = 1/2x - 3
Equation of a straight line passing through a given pointFrom the question, we are to determine the equation of the line that passes through the given point and is parallel to the given equation.
The given point is (-4, -5)
The given equation is y = 1/2x - 4
NOTE: If two lines are parallel, then their slopes are equal
Now, we will determine the slope of the given line '
y = 1/2x - 4
Compare to the general form of an equation of a straight line
y = mx + b
Where m is the slope
and b is the y-intercept
Therefore, m = 1/2
That is, the slope of the line is 1/2
Now, we will determine the equation of the line that has a slope of 1/2 and that passes through the point (-4, -5)
Using the point-slope form of the equation of a straight line
y - y₁ = m(x - x₁)
Then,
y - (-5) = 1/2(x - (-4))
y + 5 = 1/2(x + 4)
y + 5 = 1/2x + 2
y = 1/2x + 2 - 5
y = 1/2x -3
Hence, the equation of the line is y = 1/2x - 3
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Which of the following does () simplify to, for any nonnegative real number?
Solution
[tex](\sqrt[]{r})^2[/tex]We have
square will cancel out the square root
[tex](\sqrt[]{r})^2=(r)=r[/tex]Option A
One cotton candy at the rodeo cost $5.25. When 4 friends purchases cotton candy, the expression 5.25(4) can be used to determine the total cost. What other expression can be used to determine the total cost?
The other expression for this scenario is 5.25 + 5.25 + 5.25 + 5.25
How to determine the other expression?From the question, we have the following parameters that can be used in our computation:
Cost of cotton candy = $5.25
Number of friends = 4
So, the expression is given as
Expression = 5.25(4)
Express 4 as 1 + 1 + 1 + 1
So, we have the following representation
Expression = 5.25(1 + 1 + 1 + 1)
Open the bracket
Expression = 5.25 + 5.25 + 5.25 + 5.25
Hence, the other expression is 5.25 + 5.25 + 5.25 + 5.25
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13. Suppose you live in a state that collects 18.2c excise tax on a gallonof gasoline. If you buy 18.5 gallons of gasoline, how much state excise taxis collected?a, $3.06b 83.37$2.99C
The excise tax on 1 gallon of gasoline = 18.2 cents
You will buy 18.5 gallons
We need to find the excise tax you should pay
At first let us change the cent to dollar
1 cent = 1/100 dollars
18.2 cents = 18.2 * 1/100 = 0.182 dollars
Now you will buy 18.5 gallons
You will pay = 18.5 * 0.182 = 3.367 Dollars
The state excise tax = $3.367
Round the number to the nearest cent, then it will be $3.37
Landyn's brother is five years older than Landyn. Their combined ages add up to 23. How old is Landyn?
The variable y represents: []
Equation: [] (Make sure to simplify this!)
Landyn is 9 years old.
Answer:
X = 9
Landyn is 9 and his brother is 14
Step-by-step explanation:
X + Y = 23
Y = X + 5
X + X + 5 = 23
2x + 5 + 23
- 5 - 5
2x / 2 = 18 / 2
Simplified = 9 / 1
Y = 9 + 5
Y = 14
A catering service offers 6 appetizers, 8 main courses, and 10 desserts. A customer is to select 4 appetizers, 4 main courses, and 4 desserts for a banquet. In
how many ways can this be done?
The number of ways the customer can select 4 appetizers , 4 main course and 4 desserts for a banquet is 220500 ways .
In the question,
it is given that ,
number of appetizers that catering service can offer = 6
number of main courses that catering service can offer = 8
number of desserts that catering service can offer = 4 ,
The number of ways 4 appetizers can be selected out of 6 = ⁶C₄
number of ways 4 main courses can be selected out of 8 = ⁸C₄
number of ways 4 desserts can be selected out of 10 = ¹⁰C₄
So , total number of ways = ⁶C₄ × ⁸C₄ × ¹⁰C₄
= 15 × 70 × 210
= 1050 × 210
= 220500 ways
Therefore , The number of ways the customer can select 4 appetizers , 4 main course and 4 desserts for a banquet is 220500 ways .
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A sports ball has a diameter of 27 cm. Find the volume of the ball. cm.3 Round your answer to the nearest tenth if necessary
The volume of a sphere is (4/3)(Pi)(r^3)
If the ball has a diameter of 27 cm, the radius would be 27/2 = 13.5 cm
Unsing the formula:
V = (4/3)(3.1416)(13.5)^3 = (4/3)(3.1416)(2460.375) = 10306.0188
Answer: Volume is 10,306.0188 cm^3
-6 = 3х - бу4х = 4 + БуSolving systems of equations using substitution method
-6 = 3x - 6y
4x = 4 + 5y
ok
x = (4 + 5y)/4
Substitution
-6 = 3[(4 + 5y)/4] - 6y
-6 = [12 + 15y]/4 - 6y
-6 + 6y = [12 + 15y]/4
-24 + 24y = 12 + 15y
24y - 15y = 12 + 24
9y = 36
y = 36/9
y = 4
x = (4 + 5(4))/4
x = [4 + 20)/4
x = 24/4
x = 6
Solution x = 6, y = 4
HELP ME PLSSSS
a goat is traveling on a mountain. His starting elevation was at 150 feet above sea level. By the end of his travels, he was at 13 feet above sea level.
Write an expression that represents the change in elevation
What was the change in elevation?
The expression to represent the change in elevation would be 13 - 150.
The change in elevation would be - 137 feet.
How to find the change in elevation?The change in elevation refers to the difference between the elevation that a person ends up in, from the elevation that they started out at.
The change in elevation for the goat would therefore be:
= Ending elevation - Starting elevation
= 13 - 150
= - 137 feet
In conclusion, the change in elevation of the goat in its travels was - 137 feet.
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We see that 22 and 23 are Choose one And since the lines u and y are parallel, 22 and 23 are Choose one So, mZ3 = ° We see that 21 and 22 are Choose one Thus, 21 and 22 are Choose one So, mZ1 = 1 Therefore, 21 and 23 are Choose one We also see that 21 and 23 are Choose one < The relationship between 21 and 23 is an example of the following rule. When parallel lines are cut by a transversal, Choose one
Answers:
We see that ∠2 and ∠3 are corresponding angles
And since the lines u and v are parallel, ∠2 and ∠3 are congruent.
So, m∠3 = 150
We see that ∠1 and ∠2 are vertically opposite angles
Thus, ∠1 and ∠2 are congruent
So, m∠1 = 150
The relationship between ∠1 and ∠3 is an example of the following rule
When parallel lines are cut by a transversal, alternate interior angles are congruent.
Explanation:
The angles formed by two parallel lines and a transversal that are on the same side of the transversal and in the same position from the parallel lines are called corresponding angles. These angles have the same measure so they are also congruent.
So, we can fill the first part as:
We see that ∠2 and ∠3 are corresponding angles
And since the lines u and v are parallel, ∠2 and ∠3 are congruent.
So, m∠3 = 150
On the other hand, two opposite angles formed by two lines that cross are called vertically opposite. So, these angles have the same measure.
So, we can fill the second part as:
We see that ∠1 and ∠2 are vertically opposite angles
Thus, ∠1 and ∠2 are congruent
So, m∠1 = 150
Finally, we can fill the third part as:
The relationship between ∠1 and ∠3 is an example of the following rule
When parallel lines are cut by a transversal, alternate interior angles are congruent.
Because alternate interior angles are the angles that are inside the parallel line and on opposite sides of the transversal.
If ED is the midsegment of ABC, which of the following statements are necessarily true?
If ED is the midsegment of triangle ABC, then that means that the points E and D are the midpoints of segments AC and AB since the midsegment is found by joining the midpoints of a triangle. Since E and D are midpoints then:
[tex]AE\cong EC[/tex]Also, by the midsegments theorem we have:
[tex]ED=2BC[/tex]Also, since segments ED and BC are parallel, that means that:
[tex]\angle ADE\cong\angle ABC[/tex]What is the midpoint of the line segment with the endpoint (3.5,2.2) and (1.5,-4.8)?
Given
A = (3.5, 2.2)
B = (1.5, -4.8)
Procedure
A midpoint is a point on a line segment that divides the segment into two equal segments.
Jackie's Burger Place made 24 burgers. 14 of the burgers had onions. What is the ratio of the number of burgers without onions to the number of burgers with onions?
Answer:
24:14
Step-by-step explanation:
What is the result when the formula v=u+at is solved for t?
On solving the equation [tex]v=u+at[/tex] for t the result will be [tex]t=\frac{v-u}{a}[/tex].
How to solve any mathematical equation?
1. Open all brackets by applying the distibutive property.
2. Add the same number on the both sides.
3. Subtract the same number on the both sides.
4. Multiply with the same number on the both sides.
5. Divide with the same number on the both sides.
Consider the equqtion.
[tex]v=u+at[/tex]
Subtact [tex]u[/tex] from both the sides.
[tex]v-u=u+at-u\\v-u=at[/tex]
Now, divide both the sides by [tex]a[/tex].
[tex](v-u)/a=at/a\\(v-u)/a=t\\t=(v-u)/a[/tex]
Hence, on solving the equation [tex]v=u+at[/tex] for t the result will be [tex]t=\frac{v-u}{a}[/tex].
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I'm needing help with my work
According to the diagram, we can conclude:
[tex]21\div3=7[/tex]Using a deck of 52 standard playing cards, find the probability for P(Queen, King, or Ace).
Solution
Total cards in a deck = 52
Total Queens = 4
Total King = 4
Total Ace = 4
P(Queen, King, or Ace). =
[tex]\frac{4}{52}+\frac{4}{52}+\frac{4}{52}=\text{ }\frac{12}{52}=\frac{3}{13}[/tex]The answer is 3/13
a population of amoebas in a petri dish will triple in size every hour .at the start of an experiment the population is =800x^3 where x is the number of hours models the population growth how amoebas are in the perri dish after 9 hours
From the given information, we know that the expression that models the population of amoebas with respect to time is:
[tex]P=8x^3[/tex]Where x is the number of hours. by replacing 9 for x, we can find the population after 9 hours, like this:
[tex]\begin{gathered} P=8\times9^3 \\ P=8\times729 \\ P=5832 \end{gathered}[/tex]Then, the population of amoebas after 9 hours is 5832.
3.875 rounded to the nearest thousandth
Answer:
3.88
Step-by-step explanation:
Find the number in the hundredth place (7) and look one place to the right for the rounding digit 5. Round up if this number is greater than or equal to 5 and round down if it is less than 5.
Divide:
-53.72
————
-6
Answer: 8.953333333.
Step-by-step explanation: All I know is that a negative divided (or times) a negative is always a positive.
Is the statement true or false?If |x| =6,then x can only be equal to 6. False give a counterexample A.-6 B.12
divyaraval92, this is the solution:
False
x could be either 6 or -6
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
length = 12 miles
width = 6 miles
Step-by-step explanation:
Framing algebraic expression and solving:length = x miles
width = (x - 6) miles
Area of rectangle = 72 square miles
length * width = 72
x * (x - 6) = 72
x*x - 6*x = 72
x² - 6x - 72 = 0
Sum = -6
Product = -72
Factors = 6 , (-12) { 6 + (-12) = -6 and 6*(-12) =-72 }
Rewrite the middle term using the factors.
x² + 6x - 12x - 72 = 0
x(x + 6) -12(x + 6) =0
(x + 6)(x - 12) = 0
{x + 6 = 0 is rejected as length will not have negative value}
x - 12 = 0
[tex]\sf \boxed{\bf x = 12 \ miles}[/tex]
length = 12 miles
Width = 12 - 6 = 6 miles
1. Which is an example of categorical data?A eye colorB ageC weight
Age and you can also use weight too
you can easily group people by their age and weight but not by eye color
example
age people
5 - 10 14
10 - 15 5
the table above shows that we have 14 people within the range of 5 to 10 years
and likewise the weight of the people can serve the same purpose
kinda due now pls help
The function describes the motorboat's distance from the shore
y = -4x+50
Given,
In the question:
A motorboat moves across a lake as a constant speed. when it begins, it is 50 km from the shore
After 9 minutes, it is 14 km from the shore.
So, The rate of change =
= [tex]\frac{Final Distance - initial distance}{time} \\\\\frac{14-50}{9} = -4[/tex]
Negative sign shows that there is decrease in distance per minute
The rate of change of distance is 4 km / minutes
General equation : y = mx+ c
Where m is the slope and c is the constant
Substitute the values in the equation :
y= -4x +50
Where y is the final distance and x is the minutes
So, Option C is true
Hence, The function describes the motorboat's distance from the shore
y = -4x + 50.
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3. Find the length of the midsegment.
2x -14 midsegmen
X+2 triangle base
Answer:
x = 10
Step-by-step explanation:
2(2x-14) = x+2
4x - 28 = x + 2
3x = 30
x = 10
how do i solve each system for these equations
x-y=4 2x+y=5
Answer:
x = 3
y = -1
Step-by-step explanation:
x-y=4 [1]
2x+y=5 [2]
rearrange [1] and label it [3]
x = 4 + y [3]
substitute [3] into [2]
2(4 + y) + y = 5
8 + 3y = 5
3y = -3
y = -1
substitute y = -1 into [1]
x - (-1) = 4
x = 3
I need help on homework
Statement. (Reasons are in boldfaced words)
1. H is the midpoint of AD. By given.
2. AD bisects GC. By given.
3. HA = HD. By definition of midpoint.
4. GH = CH. By definition of the bisector.
5. Angles AHG and DHC are congruent. By vertical angles theorem.
6. AG = DC. They are the height of the figure.
7. Triangles GHA and CHD are congruent. By Side-Angle-Side postulate of congruence.
How many real sixth roots does -729 have?
Answer:
it has none
Step-by-step explanation:
Answer:
6√-729 is : 4.88147452844536
I need help with this practice problem solving. It asks to graph the function yourselfIf you can, use desmos.
Given the function:
[tex]f(x)=\cot (x+\frac{\pi}{6})[/tex]To graph the given function, first, we will graph the parent function [ cot x]
the function [cot x] has a period of π and has an x-intercept at x = π/2
then we will make a shift to the left side by (π/6)
the graph of the function will be as shown in the following picture:
As shown, the red dot graph is the function [cot x]
and the blue graph is the given function f(x)