The expression represents the current price of milk is 3 + y in dollars
The initial price of a gallon of milk = $2.65
The price rose y dollars after the last hurricane
Then the expression will be
2.65 + y
Then the price dropped $0. 15
2.65 + y - 0.15
Add the terms
2.65 + y - 0.15 = 2.5 - y
later rose again by $0. 5
2.5 + y + 0.5
Add the terms in the expression
2.5 + y + 0.5 = (2.5 + 0.5) + y
= 3 + y
Current price of milk = 3 + y in dollars
Hence, the expression represents the current price of milk is 3 + y in dollars
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Solve the equation by factoring.
(x+2)(x + 7) = 0
A) (-2,-7)
C) (5,-8)
B) -5,5)
D) (6, 3)
Step-by-step explanation:
(x+2)(x+7) = 0
It is already factorised.
So, x = (-2,-7)
So, option A is correct
HELP ME PLSS THIS IS DUE NOW
Write the following decimal in standard form:
twelve and eighty-four hundredths
i really need this asap
Answer:
below
Step-by-step explanation:
12 + 84/100 = 12.84
a survey carried out recently to find the number of applicants that apply for jobs in three newspaper establishment revealed i-70 applied to the Daily Times 65 applied to the daily graphic and 85 apply to the Punch. 40 applied to the daily times only, 20 applied to the daily graphic only while 45 applied to the punch only. if 15 applied to all the three newspaper establishment, find: I. the number that applied to both the daily times and daily graphic. Ii.the number that applied to the daily times and the punch. III. the number that applied to both the daily graphic and the punch. iv. the number that applied to at least one newspaper establishment.
The values of x= 10; y= 5; z= 20.
Given that
40 applied to the daily times only,
20 applied to the daily graphic only while
45 applied to the punch only.
To find out, if 15 applied to all the three newspaper establishment
I. the number that applied to both the daily times and daily graphic
II. the number that applied to the daily times and the punch.
III. the number that applied to both the daily graphic and the punch.
iv. the number that applied to at least one newspaper establishment.
Given that: DT (marked "T"), 70 & 40 (red circle).
DG (marked "G"), 65 & 20 (green circle).
P, 85 & 45 (blue circle).
x + y + 15 + 40 = 70
y + z + 15 + 45 = 85
x + z + 15 + 20 = 65
==========>
x + y = 15, (1)
y + z = 25, (2)
x + z = 30. (3)
------------------------Add 3 equations ====>
2x + 2y + 2z = 15 + 25 + 30 = 70 ====>
x + y + z = 35. (4)
Subtract (1) from (4): z= 20;
Subtract (2) from (4): x= 10;
Subtract (3) from (4): y= 5.
Hence the answer is the values of x= 10; y= 5; z= 20.
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Two squares are similar. The
perimeter of the smaller square is p
46 cm. The perimeter of the larger
square is doubled the perimeter of
smaller square. Find the side
length (in cm) of the
larger square.
Answer:23
Step-by-step explanation:
Divide 46 by 4 so u know the length of the side of the smaller square
the answer is 11.5 so them you multiply It by 2 and you get 23cm
hope this helps
Joel types 180 words in 4 minutes.
How many words per minute
can he type?
Answer:
45 words
Hope this helps :)
Step-by-step explanation:
We know that he can type 180 wprds in 4 minutes.
So to find how man words he types per minute which is 1 minute, then we need to divide 180 by 4.
1. Divide.
45
4| 180
- 16↓
20
- 20
0
2. Answer.
Joel can type 45 words per minute.
3. Check.
45
× 4
180 ✓
calculate the surface area of box A 6in 6in 7in box B 3in 8in 9in
The surface area of box A is 240in².
the surface area of box B is 246in².
What is Surface area?
This is referred to as the space/ area occupied by a three- dimensional object by its outer, flat surface of an object.
Formular for calculating surface area is:
Surface area, SA=( 2*L*W)+( 2*L*H) +=( 2*W*H)
where
Length, L
Height,H
Width,W
from the Question box A
L= 6in
W= 6in
H= 7in
Hence
Surface area, SA=( 2*L*W)+( 2*L*H) +=( 2*W*H)
=( 2*6*6)+( 2*6*7) +=( 2*6*7)
=72+84+84
= 240in².
from the Question box B
L= 3in
W= 8in
H= 9in
Hence
Surface area, SA=( 2*L*W)+( 2*L*H) +=( 2*W*H)
=( 2*3*8)+( 2*3*9) +=( 2*8*9)
=48+54+144
= 246in².
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Find the equation of the line passing through the given point and parallel to the given line.
( -1 , -1 ), x + y = 8
( -5 , -2), y + 3x = 10
The equation of the line that passes through (-1, -1) and is parallel to x + y = 8 is x + y = -2
The equation of the line that passes through (-5, -2) and is parallel to y + 3x = 10 is 3x + y = -17
Equation of a lineFrom the question, we are to determine the equation of the line passing through the given points and parallel to the given line.
NOTE: If two lines are parallel, then their slopes are equal
First, we will determine the slopes of the given line
x + y = 8
Write the equation in the slope-intercept form, y = mx + b
Where m is the slope
and b is the y-intercept
x + y = 8 becomes
y = -x + 8
Therefore, m = -1
Now, we will determine the equation of a line that has a slope of -1 and that passes through (-1, -1)
Using the point-slope form of the equation of a straight line,
y - y₁ = m(x - x₁)
y - (-1) = -1(x - (-1))
y + 1 = -1(x + 1)
y + 1 = -x -1
x + y = -1 -1
x + y = -2
Hence, the equation is x + y = -2
Now, we will determine the slope of y + 3x = 10
Express the equation in slope-intercept form
y + 3x = 10
y = -3x + 10
Therefore, m = -3
Now, we will determine the equation of a line that has a slope of -3 and that passes through (-5, -2)
Using the point-slope form of the equation of a straight line,
y - y₁ = m(x - x₁)
y - (-2) = -3(x - (-5))
y + 2 = -3(x + 5)
y + 2 = -3x - 15
3x + y = -15 -2
3x + y = -17
Hence, the equation is 3x + y = -17
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10 pionts!!!!
if f(x)=6x+5, find f(1)
Answer:
11
Step-by-step explanation:
Plug in 1 to the function:
f(x) = 6x + 5
f(1) = 6(1) + 5
f(1) = 6 + 5
f(1) = 11
The perimeter of a rectangle is 150 inches. The width is 12 inches. Find the length.
Answer:
63 inches
Step-by-step explanation:
The perimeter of a rectangle is found by adding all of the side lengths. Since both pairs of opposite sides have the same length, an equation for the perimeter can be written like this:
[tex]P=2w+2l[/tex]
Where w and l represent the width and length.
Since we are asked to find the length, rewrite the equation in terms of l:
[tex]l=\frac{P-2w}{2}[/tex]
We know the values for P and w, so plug those in:
[tex]l=\frac{150-2(12)}{2}[/tex]
Now simplify!
[tex]l=\frac{126}{2}=63[/tex]
Answer:
l = 63 in
Step-by-step explanation: If the P=150 in W=12 in so .... using the formula P=2 (l + w) you get L= P/2 - W = 150/2 - 12 = 63 in. I hope this helps!
The tree diagram represents an
experiment consisting of two trials.
P(D) =[?]
Answer:
P(D) = 0.7
Step-by-step explanation:
There are two routes to D:
AD, which is 0.5*0.6BD, which is 0.5*0.7We then add these two probabilities:
AD + BD = (0.5*0.6) + (0.5*0.7) = 0.3 + 0.35 = 0.7
Therefore, P(D) should be 0.7, or 70%
Franchising is a popular way to grow. Subway has about 42,000 franchisees that pay 12. 5% of their annual store revenue ($417,000 average) to subway. About how much does subway collect in franchise fees?.
Total amount that Subway collect in franchise fees = $2,189,250,000
Total number of subway franchisees = 42,000
Average annual store revenue = $417,000
Total paying percentage of franchisees = 12.5%
12.5% of average revenue = (417000×12.5)÷100
= $52,125
Total subway collection in franchise fee= total number of franchisees×amount of fees per franchisees
= 42,000×52,125
= $2,189,250,000
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Since subways has about 42000 franchisees and about $417000 average revenue is earned. Therefore, the total amount that Subway collect in franchise fees is $2,189,250,000.
Subways Franchise operate 16 submarine sandwich shop and they expanded quickly with its long time slogan "East Fresh".
Franchisor gives a franchisee the authority to do business in the franchisor's trade name using its business system it is called franchising.
Subways franchises pay 12.5% every week (gross sales minus the sales tax), 8% goes toward the franchise royalties and 45% gores towards advertising.
The company has the lowest start-up costs compared to many other fast food franchises but does take more royalty and advertising money.
The franchise fee:
A franchise owner pay 12.5% of gross sales minus tax every week. They must pay even if they are losing money.8% of that 12.5% goes toward the franchise royalties and 4.5% is for advertising.Now, according to the question:
Total number of subway franchisees = 42,000
Average annual store revenue = $417,000
Total paying percentage of franchisees = 12.5%
∴ At 12.5% of average revenue = (417000 × 12.5) ÷ 100
= $52,125
Total subway collection in franchise fee
= total number of franchisees × amount of fees per franchises
= 42,000×52,125
= $2,189,250,000
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Please, i need help . .
Step-by-step explanation:
b^3 x b^8 / b^5
b^11/b^5
b^(11-5)
b^6
Find the area of the chape giving… pls help me
Answer:
Area = 8 sq cm
Step-by-step explanation:
This shape is a parallelogram. Its like a rectangle that got tipped over. Area is:
base × height.
We don't know the base that is on the bottom of the image as it is shown. But if you turn it sideways, the 4 can be the base and the 2 is the height.
Area = b × h
= 4 × 2
= 8
The area is 8 sq cm.
1) A sales representative earns a 2.5% commission on sales. Find the commission earned when the total sales are $80,500.
In the formula A = r², find A when ris
14 centimeters.
Step-by-step explanation:
A = r², find A when r is 14 centimeters.
A = (14)²
A = 196 cm²
Solve for x
-2x+6y=13
HELP!! 25 POINTS
Simplify the expression to a + bi form:
√36+ √-75+ √1-√-108
Answer: 7-i√3
Step-by-step explanation:
√36+ √-75+ √1-√-108
6 + √75i + 1 - √108i
7 + 5i√3 - 6i√3
7-i√3
CAN SOMEONE DO THE ESSAY PART
The two triangles in the first figure is congruent by the ASA (angle-side-angle) axiom of congruency.
First diagram:
In ΔABC and ΔDEF we have :
∠C = ∠F
∠B = ∠E
BC = FE
∴ΔABC ≅ ΔDEF (by ASA axiom of congruency)
Second diagram:
In ΔABC and ΔDEF we have :
AB = XZ
BC = ZY
CA = XY
∴ΔABC ≅ ΔXYZ (by SSS axiom of congruency)
Third diagram:
In ΔKLM and TSU we have :
KL = TS
∠K = ∠U
∠M = ∠S
∴ΔKLM ≅ ΔTSU (by AAS axiom of congruency)
Fourth diagram:
In ΔABC and XYZ we have :
AB = YZ
BC = ZX
∠C = ∠Z
∴ΔABC ≅ ΔXYZ (by SAS axiom of congruency)
Fifth diagram:
No the two triangles are not congruent , they are similar.
AAA axiom is not for congruency, it is for similar triangles.
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10. Which segment below is perpendicular to line AB? How do you know?
Answer:
Line CE
Step-by-step explanation:
We know that lines are perpendicular when their intersections form 90° angles (see below diagram). ∠E is a 90° angle, so line CE is perpendicular to line DF. Assuming that line DF is parallel to line AB, we now know that line CE is also perpendicular to line AB.
Which expression is a difference of a number and a product?
OA. 7-5x
OB. 5+x-3
C. 5(x-3)
OD. 3+5x
⇒Option A is an expression of a difference 7 and 5x which is the product of 5 and x.
⇒Option A is the answer.
the car owner decided to test this by tracking 30 trips. the average mpg the car owner achieved was 24.1 mpg with a standard deviation of 2.1. flag question: question 9 question 92 pts what is the lower estimate (limit) of the 95% confidence interval for the average miles per gallon? (report to 2 decimal places)
The lower limit of the 95% confidence interval for the average miles per gallon is 23.32 mpg.
How to calculate the lower limit of the confidence interval?
Given,
n = 30
mean = μ = 24.1
standard deviation = σ = 2.1
confidence interval = 95%
Since the sample is 30, use t-table. If sample is greater than 30 use z-table.
Level of significance, α = 1 - 0.95 = 0.05
degree of freedom, df = n - 1 = 30 - 1 = 29
t value = 2.045
Lower limit = [tex]\mu-t\frac{s}{\sqrt{n}}[/tex]
= [tex]24.1 - 2.045\frac{2.1}{\sqrt{30}}[/tex]
= 24.1 - 0.784
= 23.316
= 23.32 mpg
Thus, the lower limit of the 95% confidence interval for the average miles per gallon is 23.32 mpg.
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A web designer charges a $200 fee plus $50 per hour to build a website. Which equation represents the total cost, y, to a customer based on the number of hours, x, it takes to buld the website?
Answer: 50x+200=y
Step-by-step explanation:
This is the answer because the number of hours is not provided leaving us to multiply 50 by x, 200 is the flat fee so we will know to automatically add that to our first step and since y is the total this will form the equation, 50x+200=y.
Simplify
a9/a5
a^4
1/a^4
4
a^14
Answer:
36a^10
Step-by-step explanation:
One fifth of a number plus three times the number is equal to twice the number plus 42 . What is the number
The value of the number is 35
What are algebraic expression?Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values.These letters are called variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
If the number is represented by x then,
1x/5+3x= 2x+42
making the left hand side a single fraction, then,
(x+15x)/5= 2x+42
16x/5= 2x+42
multiply both sides by 5
16x= 10x+210
collect like terms
16x-10x= 210
6x= 210
x=35
therefore the value of the number is 35
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Which triangles can be mapped onto one another through a sequence of rigid transformations
Answer:
e and c
Step-by-step explanation:
both are the exact same size, which would allow them to be placed on top of each other without any overlap
Answer:
A, B and E are the correct answers
Step-by-step explanation:
I had that same question on the test too.
The sum of three times a number and 2 less than 4 times that same number is 15. Which of the followin
equations could be used to find the value of the number, n? Explain how you arrived at your choice.
Answer:
11
Step-by-step explanation:
Three times an unknown number
= 3(n)
Added to
Two less than four times the same unknown number
= 4 - 2(n)
Total
= 3(n) + 4 - 2(n) = 15
= 3n + 4 - 2n = 15
Collect like terms
= 3n - 2n = 15 - 4
n = 11
HELP HELP HELP
(2^4x+4) / (2^x+1)
Answer:
[tex]2^{3x+3}[/tex]
Step-by-step explanation:
to divide exponents with the same base you just subtract them
(4x+4)-(X+1)
4x+4-x-1
3x+3
Hopes this helps please mark brainliest
Answer:
frac{16x+4}{2^{x}+1 =
Step-by-step explanation:
Evaluate the exponent! hope this helped
Please I need help please
The measure of missing angles in the diagram is angle 1 = 88°, angle 2 = 42° and angle 3 = 113° .
In the question ,
a figure is given ,
the labelled diagram is show below .
we can see that the angle ACB and angle ECD are vertically opposite angles ,
we know that, the vertically opposite angles are equal ,
So, angle ACB = m∠2 = 42°
In triangle ABC
By Angle Sum Property Of Triangle ,
angle A + angle B [tex]+[/tex] angle C [tex]=[/tex] 180°
50° + m∠1 + 42° [tex]=[/tex] 180°
92° + m∠1 = 180°
m∠1 = 180° - 92°
m∠1 = 88°
In triangle CDE ,
By Angle Sum Property Of Triangle
angle C + angle D [tex]+[/tex] angle E [tex]=[/tex] 180°
42° + m∠3 + 25° [tex]=[/tex] 180°
m∠3 + 67° = 180°
m∠3 = 180° - 67°
m∠3 = 113°
Therefore , The measure of angle 1 = 88°, angle 2 = 42° and angle 3 = 113° .
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A movie theater has a seating capacity of 183. The theater charges $5.00 for children, $7.00 for students,
and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $
1316, How many children, students, and adults attended?
children attended.
Using simplification, if the total ticket sales was $1316, then 70 children, 78 students and 35 students attended.
From the given question,
We know that the capacity of movie theater is 183.
The theater charges $5.00 for children, $7.00 for students and $12.00 of adults.
There are half as many adults as there are children.
If the total ticket sales was $1316, then we have to find how many children, students, and adults attended.
Let the number of children that attended = x
Since, there are half as many adults as children.
Therefore number of adults = 1/2x =0.5x
We know there are total of 183 tickets
Therefore number of students = 183 - x - 0.5x
number of students = 183 - 1.5x
Each children ticket costs = $5
Then the price of children tickets = 5x
Similarly for adults each ticket costs = $12
So total cost of adult ticket = 12×0.5x = $6x
Now the cost of student tickets = 7(183 - 1.5x)
As given that
Total cost of all tickets = $1316
So the expression should be
5x + 6x + 7(183 -1.5x) = 1316
Simplifying
11x + 1281 - 10.5x = 1316
Subtract 1281 on both side
11x + 1281 - 10.5x-1281 = 1316-1281
Simplifying
0.5x = 35
Divide by 0.5 on both side we get
x = 70 children
Now finding the number of adults
= 0.5x
= 0.5×70
= 35 adults
Now finding the number of students
= 183 - 1.5x
= 183 - 1.5×70
= 183 - 105
= 78 students
Hence, If the total ticket sales was $1316, then 70 children, 78 students and 35 students attended.
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