Find A + B. Be sure to show your work.
John and his friend ordered lunch at a local sandwich shop. They each ordered a soft drink that costs $1.65. John orders a whole ham sandwich and his friend ordered half of a ham sandwich. Their total bill is $12.54. What equation can you use to find the cost c of a sandwich, and what is the value of c
Answer:
a. $12.54 = $ 1.65 + c/2 + c b. $ 7.26
Step-by-step explanation:
a. What equation can you use to find the cost c of a sandwich
Let c be the cost of a whole ham sandwich. Now, the total bill = cost of drinks + cost of half a ham sandwich + cost of a whole ham sandwich.
total bill = $ 12.54, cost of drinks = $ 1.65, cost of half a ham sandwich = c/2 and cost of a whole ham sandwich = c. So,
$12.54 = $ 1.65 + c/2 + c
b. What is the value of c
We then solve for c in the equation $12.54 = $ 1.65 + c/2 + c
collecting like terms, we have
$12.54 - $ 1.65 = c/2 + c
$ 10.89 = 3c/2
multiplying through by 2, we have
$ 10.89 × 2 = 3c
$ 21.78 = 3c
dividing through by 3, we have
c = $ 21.78/3
= $ 7.26
The sum of the angle measures of any triangle is 180°. If one angle of a triangle measures 35º and another angle measures 72º, what is the measure of the third angle?
Answer:
73°
Step-by-step explanation:
Start with 35° + 72° = 107°
Then 180° - 107° = 73°
Answer:
[tex]we \: knw \: that \: total \: angle = 180 \\ 35 + 72 + x = 180 \\ 107 + x = 180 \\ x = 180 - 107 \\ x = 73 \\ thank \: you[/tex]
what does x equal in this problem? x/12 - 5 = -6
Answer:
x=-12
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Once debbie arrives in each city,she'll need a backpack to carry around with her. What was the percent markup if a store bought the backpack for $25 ans somd it to debbie for $40
Answer:
60%
Step-by-step explanation:
40 / 25 - 1 = 60%
A rectangular wall in Andrew's house has the dimensions shown. If
Andrew plans to hang two rectangular paintings that each measure 4.5
feet by 3 feet, find the area of the wall that will not be covered by the
paintings
12 ft
18 ft
a. 216 square feet
b. 189 square feet
c. 243 square feet
d. 156 square feet
Answer:
b. 189 square feet
18 X 12 = 216 square feet
4.5 X 3 = 13.5
13.5 X 2 = 27
216 - 27 = 189 square feet
1.) Determine if the coordinate points represent a function. (1.3). (2.6). (3.9). (4. 12). (5.15
O Function
O Not a Function
O both
Answer:
Function
Step-by-step explanation:
These coordinates do represent a function. For a relation to be a function every y-value must have an x-value, this means x's cannot repeat. In this relation x's never repeat, they simply increase by one every time. Therefore, this is a function.
the value of y is four less than one-third of x. what is the equation of the relationship
Answer:
y=1/3x-4
Step-by-step explanation:
Answer:
y=1/3x-4
Step-by-step explanation:
4 is negative cause it says less than..
Joshua is writing a novel. He wrote the same number of pages each day for a 8 days. At the end of 8 days he had 136 pages complete. Write an equation relating x, the number of days, to y, the total pages.
Answer:
8x = 136
Where: x = 17
Step-by-step explanation:
Joshua is writing a novel. He wrote the same number of pages each day for a 8 days. At the end of 8 days he had 136 pages complete. Write an equation relating x, the number of days, to y, the total pages.
Let the number of pages read per day = x
Hence, the number of pages after 8 days = 8 × x = 8x
Total number of pages = y= 136
Therefore:an equation relating x, the number of days, to y, the total pages.
= 136 = 8x
Solving for x
136/8 = x
x = 17
2.) Mackenzie uses 1/5 of a cup of sugar for 1/3 of a gallon of lemonade.
How many cups of sugar would she need for a whole gallon of lemonade?*
Answer:
3/5 cups of sugar
Step-by-step explanation:
If 1/5 of a cup of sugar is used for 1/3 of a gallon of lemonade, 1/5 of a cup will be used in each of the overall three thirds of a gallon.
Answer:
3/5 cup of sugar good luck
I need help answer as soon as possible.
Select the number line that correctly shows the calculation for |-4|.
I will give branliest!!!
Answer:
A.
Step-by-step explanation:
Kevin built a deck in his backyard. The length of the deck was x feet and the width of the deck was 3 feet longer than the length. Write and simplify an expression to represent the perimeter of Kevin's deck.
Answer:
4x + 6 feet
Step-by-step explanation:
The deck is the shape of a rectangle
Hence, the perimeter of a rectangle is:
P = 2L + 2W
Where
L = Length = x feet
The width of the deck was 3 feet longer than the length.
W = Width = 3 + x feet
Hence:
Perimeter = 2(x ) + 2(3 + x)
Perimeter = 2x + 6 + 2x
Perimeter = 4x + 6 feet
Hence, the expression for the Perimeter of the deck is given as:
4x + 6 feet
200-123+289-2/2=????
Answer:
365
Step-by-step explanation:
200-123+289-2/2
77+289−2/2
366−2/2
366−1
= 365
The area of a circle will _____ be larger than the area of a polygon circumscribed about the circle.
always
often
sometimes
never
Can someone help me on this
9514 1404 393
Answer:
100°
Step-by-step explanation:
Angle AKC is a vertical angle with angle BKD, so has the same measure. Since K is the center of the circle, arc AC has the same measure as angle AKC: 100°.
__
A diagram may help.
Hector spent $41.75 for 2 DVDs that cost the same amount. The sales tax on his purchase was $3.15. Hector also used a coupon for $1.00 off his purchase. How much did each DVD cost?
Given:
Amount spent on 2 DVDs = $41.75
Sales tax = $3.15
Coupon = $1.00 off
To find:
The cost of each DVD.
Solution:
Let x be the cost of each DVD.
Then, cost of two DVDs = 2x
Amount spent of 2 DVDs = Cost of 2 DVDs + Sales tax - Coupon discount
[tex]41.75=2x+3.15-1.00[/tex]
[tex]41.75=2x+2.15[/tex]
[tex]41.75-2.15=2x[/tex]
[tex]39.6=2x[/tex]
Divide both sides by 2.
[tex]\dfrac{39.6}{2}=x[/tex]
[tex]19.8=x[/tex]
Therefore, the cost of each DVD is $19.8.
Lix wants to by a shirt for $25. What is the total cost with a 4.1% sales tax? Round to NEAREST CENT.
Answer:
about $26.00
Step-by-step explanation:
$25/100 = 0.25 for 1%
1% times 4.1 = 1.025 in sales tax
plus 25 equals 26.025
round to the nearest cent = $26.00
URGENT!!! Can someone help me with this? It’s volume of cones!!!
Answer:
1232 m^3 to nearest whole number.
Step-by-step explanation:
The volume of a cone = 1/3 π r^2 h where r = radius of base and h = height.
The radius of the base = 1/2 * 14 = 7m.
The height can be found by using the Pythagoras theorem:
25^2 = h^2 + 7^2
h^2 = 625 - 49 = 576
h = √576 = 24m
So the volume = 1/3 π * 7^2 * 24
= 1231.504 m^3.
An invertible function is represented by the values in the table.
Which graph shows the inverse of this function?
Answer:
Graph B
Step-by-step explanation:
Because th inverse fuction is f^-1(x), you basicaly swap the numbers, all x valuese would equal y.
In this exercise we have to identify the treated inverse function and the graph that corresponds to it, so we have that what corresponds to this is:
Graph B corresponds to the given function.
In this way, the inverse function corresponding to:
[tex]f^{-1}(x)[/tex]
Because th inverse fuction is f^-1(x), you basicaly swap the numbers, all x valuese would equal y. So we will have that the graph that correctly corresponds to this function is graph B.
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my head is empty for now, i rly can't with online classes
so anyone wanna help me?
Answer:
The Y intercept is (0,7)
Step-by-step explanation:
If it is a y intercept, there will be a number in the y coordinate. For example, (x,y) if the point said (7,0) that would be the x intercept. Because it it (0,7) and in the y place that makes it a y intercept. I hope this helped :)
what is the slope of the line determine by the cordinates (0,0) and (2,1.2)
Answer:
[tex]\displaystyle m=0.6[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (0, 0)
Point (2, 1.2)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [SF]: [tex]\displaystyle m=\frac{1.2-0}{2-0}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{1.2}{2}[/tex][Fraction] Divide: [tex]\displaystyle m=0.6[/tex]By leading figure estimation, approximate the value of 5 850÷22
Find the compound interest of $9080 for
[tex]2 \frac{1}{2} [/tex]
years at 5% per annum
Answer:
I have made it in above picture
Is the function an exponential function?
y=(-2)^x
Answer:Yes
Step-by-step explanation:
the normal exponential function is ab^x, where a represent the growth( sometimes you don't need this part), b is average rate of growth and x is the number of times we exponate. [tex]-2^{x}[/tex] is a exponetital function because it includes the b and x part. The a part is someetimes used but not always.
A function is a relationship between inputs where each input is related to exactly one output.
An exponential function is a function in the form
y = [tex]a^{x}[/tex]
Where a = constant and x = variable.
y = [tex](-2)^{x}[/tex] is an exponential function.
Where -2 is a constant and x is a variable.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
y = [tex](-2)^{x}[/tex]
An exponential function is a function in the form
y = [tex]a^{x}[/tex]
Where a = constant and x = variable.
Example:
y = [tex]3^{x}[/tex]
y = [tex]5^{x}[/tex]
We see that,
y = [tex](-2)^{x}[/tex]
-2 is a constant
x is a variable
Thus,
y = [tex](-2)^{x}[/tex] is an exponential function.
Where -2 is a constant and x is a variable.
Learn more about functions here:
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February 29th is on Sunday. on what day will the next February 29th be?
Answer: Friday
Step-by-step explanation:
If February 29th is on a Sunday, then, the day that the next February 29th will fall on will be Friday.
First and foremost, we should realise that February has 28 days but in leap years which takes place every 4 years, it has 29 days.
We should realise that the dates in the calendar are arranged in such a way that if a particular date falls on a particular day this year, the date will fall on the next day next year. e.g. since January 20 falls on. Wednesday this year, it will fall on a Thursday next year.
Since February 29 is a date for a leap year, following the above explanation, if February 29th is on a Sunday, then, the day that the next February 29th will fall on will be Friday which is in the next four years.
what's the gcf of 3x and 12x
Answer: GCF- is 3x
Step-by-step explanation:
So first you will ignore the X.
You will then find the GCF of 3 and 12.
The calculated value of the gcf of 3x and 12x is 3x
Calculating the gcf of 3x and 12xFrom the question, we have the following parameters that can be used in our computation:
Expressions = 3x and 12x
Expand both expressions
So, we have
3x = 3 * x
12x = 2 * 2 * 3 * x
Multiply the common factors
GCF = 3 * x
Evaluate
GCF = 3x
Hence, the gcf of 3x and 12x is 3x
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In ΔQRS, the measure of ∠S=90°, SQ = 47 feet, and RS = 70 feet. Find the measure of ∠R to the nearest tenth of a degree.
Answer:
33.9
Step-by-step explanation:
What function uses the OPPOSITE and the ADJACENT?
tanR=
adjacent /opposite
=
70/ 47
tanR=
70 /47
R=tan
−1
( 70 /47 )
Please help me, 30 points, really easy.
Find the missing dimension. Use the scale factor 1 : 12.
Answer:
15in
Step-by-step explanation:
Convert the 15 ft to inches (180) and then set up the proportion.\frac{1}{12} = \frac{x}{180}121=180x . Cross multiply to get that 12x = 180 and x = 15 inches.
Solve 3x - 7 = 32
Plssss helpp
Answer:
x=13
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve.
Brainly plss
Answer:
x=13
Step-by-step explanation:
