Answer:
Cost of large popcorn = 4
Cost of small drinks = 3
Step-by-step explanation:
Given that :
Let cost of large popcorn = x
Cost of small drinks = y
Cost of 2 large popcorn and 4 small drinks
2x + 4y = 20
2x + 2y = 14
x + 2y = 10 - - - (1)
x + y = 7 - - - (2)
Subtract :
2y - y = 10 - 7
y = 3
Substitute y = 3 into (2)
x + 3 = 7
x = 7 - 3
x = 4
Hence,
Cost of large popcorn = 4
Cost of small drinks = 3
One of every four doctors recommended Tylenol. If there are 2250 doctors, approximately how many recommended the medicine ?
A. 225
B.560
C.850
D.10,000
Answer:
Step-by-step explanation:
C
Consider these functions: f(x)= -2x - 1 g(x)= -1/2x + 1/2 Which statements, if any, are true about these functions? I. The function f(g(x)) = x for all real x. II. The function g(f(x)) = x for all real x. III. Functions f and g are inverse functions. A. I only B. II only C. I, II, and III D. None of the statements are true.
Answer:
A. I only
Step-by-step explanation:
Given the functions
h(x)= -2x - 1 g(x)= -1/2x + 1/2
h(g(x) =h( -1/2x + 1/2)
=f((-x+1)/2)
We are to replace x in h(x) with -x+1/2
h((-x+1)/2) = -2(-x+1)/2 + 1
h((-x+1)/2) = -(-x+1)+1
h((-x+1)/2)= x-1+1
h((-x+1)/2) = x
h(g(x) = x
Also for g(h(x))
g(h(x)) = g(-2x-1)
Since g(x) = -x+1/2
g(-2x-1) = -(-2x-1)+1/2
g(-2x-1) =2x+1+1/2
g(-2x-1) = 2x+2/2
g(-2x-1) = 2(x+1)/2
g(-2x-1) = x+1
Sine g(h(x)) ≠ h(g(x)), hence both functions are not inverses of each other
Hence I. The function h(g(x)) = x is the only correct option. Option A is correct
The correct option is: A. I only
We have functions:
[tex]h(x)= -2x - 1 \\g(x)= -\frac{1}{2} x +\frac{1}{2} \\h(g(x)) =h(-\frac{1}{2} x +\frac{1}{2}) \\h(g(x))=f(\frac{-x+1}{2} )[/tex]
Now, replace x in h(x) by [tex]\frac{-x+1}{2}[/tex]
So,
[tex]h(\frac{-x+1}{2} ) = -2(\frac{-x+1}{2}) + 1\\h(\frac{-x+1}{2} ) = -(\frac{-x+1}{2}) + 1\\h(\frac{-x+1}{2} )= x-1+1\\h(\frac{-x+1}{2} )=x\\h(g(x)) = x[/tex]
Now, g(h(x))
g(h(x)) = g(-2x-1)
Since [tex]g(x) = \frac{-x+1}{2}[/tex]
[tex]g(-2x-1) = \frac{-(-2x-1)+1}{2} \\g(-2x-1) =\frac{2x+1+1}{2}\\g(-2x-1) =\frac{2x+2}{2}\\g(-2x-1) = x+1[/tex]
As g(h(x)) ≠ h(g(x)),
Therefore, both functions are not inverses of each other.
Hence A. I only
The function h(g(x)) = x is the only correct option.
So, option A is correct.
Learn more:https://brainly.com/question/10572318
A store pays $840 for an oil painting. The store marks up the price by 46%. What is the amount of the mark-up? please help!!!! IXL is driving me crazy
Answer:
A store pays $840 for an oil painting. The store marks up the price by 46%. What is the amount of the mark-up?
=
$386.40
Javier had $305 in his bank account. His bank charges a fee of $7.50 each month that a balance is below $500. If he makes no other deposits or withdrawals, how much money is in Javier’s account at the end of three months? Explain
Felicia drew a triangle with side lengths that measured 15 cm, 18 cm and 27 cm. To determine if Felicia drew a right triangle, she can use the equations. Group of answer choices 15‾‾‾√+18‾‾‾√=27‾‾‾√ 15 + 18 = 27 15‾‾‾√+18‾‾‾√=27‾‾‾√ 15 + 18 = 27 152+272=182 15 2 + 27 2 = 18 2 152+272=182 15 2 + 27 2 = 18 2 15+18=27 15 + 18 = 27 15+18=27 15 + 18 = 27 182+152=272
Answer: 18² + 15² = 27²
Step-by-step explanation:
The side lengths of the triangle are 15cm, 18cm and 27cm. To know if it's a right angle triangle, the square of the length of the longest side which is the hypothenuse must be equal to the square of the two other sides. This will be:
18² + 15² = 27²
324 + 225 = 729
549 = 729
Since the answers gotten isn't equal, it is not a right angle triangle.
Find the rate of change from the given table.
Answer the answer is 2:)
Step-by-step explanation:
Answer:
D. 8
Step-by-step explanation:
To find rate of change
m=y2-y1
------
x2-x1
I'm gonna use coordinates (7,56) and (9,72)
m= 72-56
---------
9-7
m= 16
---
2
m=8
8. What's the GCF of *
(1 Point)
4x2 - 6x + 8
Answer:2
Step-by-step explanation:
Naomi recorded the total weight of different numbers of apples. Her results are shown by using the scatterplot and the trend line shown below. Apples A graph has number of apples on the x-axis, and total weight (pounds) on the y-axis. Points are between (4, 5) and (15, 14). For which number of apples is the prediction of the total weight an extrapolation?
1. 6
2. 12
3. 15
4. 18
Answer:
The answer is D. 18
Step-by-step explanation:
Im on a unit test review rn just saying
The required number of apples is 18 for which the prediction of the total weight is an extrapolation.
Data has been given, for apples as weight and number of apples, for the number of apples is the prediction of the total weight an extrapolation is to determine.
Extrapolation is defined as the estimation of an unspecified value established on extending a known series of values or realities. Extrapolating is to assume something not directly stated from existing data. Alter of extrapolation is Interpolation, it is the accomplishment of calculating a value between two comprehended values that exist between a sequence of values.
Since among the options number of apples for extrapolation is supposed to be the one that is beyond the given range, So for the following number of apples is 18.
Thus, The required number of apples is 18 for which the prediction of the total weight is an extrapolation.
Learn more about extrapolation here:
https://brainly.com/question/18768845
#SPJ5
5 (2x – 1) –7 = 2 (x – 3)
Answer:
x−3=x−3
Step-by-step explanation:
Evaluate (2x−1)−7, then set it equal to 2.
Subtract 7 from −1 = 2x−8
Solve 2x−8=2.
Move all terms not containing x to the right side of the equation.
Add 8 to both sides of the equation=2x=2+8
Add 2 and 8=2x=10
Divide each term by 2 and simplify.
Divide each term in 2x=10 by 2=2x/2=10/2
Cancel the common factor of 2
Cancel the common factor=10/2
Divide x by 1=x=10/2
Divide 10 by 2=x=5
Remove parentheses=x−3
List all of the solutions.
5=
(2x−1)−7=2=x=5
x−3=x−3
What is the main idea of the White House
Answer:
The White House is the solemn residence and the workplace of the President in the United States Of America. The president can also have his family there.
Step-by-step explanation:
The main motto or goal of the white house is to give and protect the fundamental rights of United States citizens
i just need the answers, u dont have to show ur work if u dont want
Answer:The answer is 10
Step By Step Explination:
from point (0,-7) and (-6,1) it is 10 spaces from eachother in a graph
WILL MARK BRILLIANT
5.
Find the midrange of the data set.
31.2 48.6 54.8 47.6 51.5 35.8 37.3 42.8
• 44.1
• 43.7
• 43.0
• 45.2
Answer:
43 is your answer......
At attorney charges, a fixed fee of $250 for an initial meeting and $150 per hour for all hours worked after that. Find the slope and y-intercept for the data.
slope:
y-intercepy:
Answer:
slope: 150
y-intercept: 250
y= 150x+250
Step-by-step explanation:
The ven diagram below is used for showing odd numbers and prime numbers place the numbers 1,2,3,4 and 5 in the ven diagram
It is right I made this in venn diagram . sorry for poor picture quality
i need help to solve please
Answer:
x = 52Step-by-step explanation:
Known:
What to find = x
Exterior angle = 142
Right angle = 90
Unknown:
what unknown value is = ?
Interior angle = ?
1. Find the angle of the interior angles.
180 - 142 = 38
2. Add the two known angles
38 + 90 = 128
3. Subtract from 180
180 - 128 = 52
x = 52 is the answer.
Hope this helped,
Kavitha Banarjee
Brandi earned $140 from a summer job to buy new clothes for school. She found several items she would like to buy, but is trying to decide if she has enough money to buy all the items she likes. She found two pairs of shorts for $25 each and four shirts with an average cost of $19 per shirt. She will have to pay 7.5% sales tax.
Answer:
She will pay a tax of $9.45
Step-by-step explanation:
The question doesn't seem complete, but since we are given her tax rate, then they would surely ask for the amount of tax she paid. So let's work on this.
We are told that she bought two pairs of shorts and one short goes for $25 each, this implies that she will get the two for:
= $25 × 2
= $50
We are also told that she got four shirts that have an average cost of $19 per shirt. This implies that she will get the four shirt for:
= $19 × 4
= $76
Since she will have to pay a tax of 7.5%, then we will calculate it as:
= 7.5% × ($50 + $76)
= 0.075 × $126
= $9.45
Answer:
A. $9.45
B. Total cost = $135.45
Step-by-step explanation:
PART A: If she buys all of the items, how much sales tax will she have to pay?
The sales tax for Brandi's purchase will be $(insert answer here)
PART B: What is the total cost of her purchase including sales tax?
Brandi will spend $(insert answer here) on her purchases, including sales tax.
A.
Total amount earned = $140
Two pairs of shorts = $25 each
Total cost of 2 shorts = 2 shorts × $25 each
= $50
Four shirts = $19 each
Total cost of 4 shirts = 4 × $19
= $76
Amount of Sales tax = 7.5% of Total cost of 2 shorts + Total cost of 4 shirts
= 7.5% ($50 + $76)
= 0.075 × 126
= $9.45
Total cost = Total cost of 2 shorts + Total cost of 4 shirts + Amount of Sales tax
= $50 + $76 + $9.45
= $135.45
Therefore, she has enough money to buy all the items she likes
When converting rational exponents to radical notation, which of the following are correct? Choose all that apply:
1. Numerator of the rational exponent becomes index of the radical notation
2. Negative exponent of the rational exponent makes the radical notation a negative value
3. Denominator of the radical exponent becomes the power of the radicand in the radical notation
4. Denominator of the rational exponent becomes the index of the radical notation
5. Numerator of the rational exponent becomes power of the radicand in the radical notation
Given:
Converting rational exponents to radical notation.
To find:
The correct statements.
Solution:
According to the property of exponents, conversion of rational exponents to radical notation is
[tex]x^{\frac{a}{b}}=\sqrt[b]{x^a}[/tex]
In [tex]x^\frac{a}{b},[/tex] x is base, a is numerator of the rational exponent and b is denominator of the rational exponent.
In [tex]\sqrt[b]{x^a}[/tex], x is radicand, a is power of radicand and b is index of radical notation.
Denominator of the rational exponent becomes the index of the radical notation.
Numerator of the rational exponent becomes power of the radicand in the radical notation.
Therefore, the correct options are 4 and 5.
Using the conversion of rational exponents to radical notation, it is found that the correct options are:
4. Denominator of the rational exponent becomes the index of the radical notation
5. Numerator of the rational exponent becomes power of the radicand in the radical notation
The conversion of rational exponents to radical notation is modeled by:
[tex]a^{\frac{n}{m}} = \sqrt[m]{a^n}[/tex]
That is:
The numerator becomes the power of the radicand, hence item 5 is correct.The denominator becomes the index of the radical notation, hence item 4 is correct.A negative exponent just is represented by a fraction, as [tex]a^{-\frac{n}{m}} = \frac{1}{a^{\frac{n}{m}}}[/tex], hence the radical is not negative, and item 2 is incorrect.
A similar problem is given at https://brainly.com/question/13133871
what is 10+2p=12+1.5p
p=
Answer:
p=4
Step-by-step explanation:
Simplify the expression 288 · 1318 − 288 · 1316.
Answer:
576
Step-by-step explanation:
WILL GIVE BRAINLEST! Is this relationship proportional why or why not?
Yes it is because it passes the line and made at exact point on 12. :)) ^^ give them brainly though
will mark BRAINLIEST
Answer:
(2, - 1 )
Step-by-step explanation:
The solution to a system of equations given graphically is at the point of intersection of the 2 lines.
The lines intersect at (2, - 1 ) ← solution
Answer:
the answer is C
Step-by-step explanation:
I think pls dont come at me if i am wrong
Select the number line model that matches the expression 4 - 1
Answer:
c. None of the above
Step-by-step explanation:
Given the expression, |4 - 1|, the value of the expression would give us 3. Meaning that the distance between coordinate 4 and 1 is 3 units.
None of the graphs given models the expression, |4 - 1|.
Option A, would match |-4 -1| = 5 units
Option B, would match |-1 - 4| = 5 units.
Therefore, the answer is c. None of the above
what is the missing part
what would be 6 yd = feet
Answer:
18
Step-by-step explanation:
6 yards is equal to 18 feet
How do I solve this equation?
Answer:
x = 132
Step-by-step explanation:
Solve by raising both sides to the multiplicative inverse of the exponent.
[tex]((x-7)^{\frac{2}{3} } )^{\frac{3}{2} } =25^{\frac{3}{2} }[/tex]
x - 7 = 125
x = 132
What is the area of the shaded region in the figure above? Please help i don't understand triangles. Also can you explain how to solve this.
Answer:
the area of the shaded region is 119.5
Step-by-step explanation:
area of a triangle formula 1/2bh (b= base) (h=height)
area of big triangle work
1/(20)(18)
20x18= 360
360 divided by 2 is 180 area of big triangle is 180
moving on to smaller triangle
1/2bh
1/2(11)(11)
121/2
60.5
THEN you subtract using bigger triangle by smaller
180-60.5=119.5
Name the property. 7xy = 7yx
help plesss i will BRAINLIST:);****
Yes.....
3x+24=42
3x=42-24
3x=18
x=18/3
.°. x=6
no...
3(x+8)=126
x+8=126/8...
3x+8=42
3x=42-8
3x=34
x=34/3....
4 number.... yes
3x+24=42
3x=42-24
3x=18
x=18/3
.°. x=6
second last yes and last not enough information...
Would you classify 240 as a perfect square, perfect cube, both, or neither?
What is the greatest common factor of 10 and 75?
Answer:
the greatest common factor of 10 and 70 is 10
Answer:
5
Step-by-step explanation:
have a good day