Answer:
Total cost =$33.47 Tip=$5.58
Step-by-step explanation:
$27.89÷5=5.578 5.578 rounded up to 2 digits=$5.58
$27.89+$5.58=$33.47
total cost is $33.47 tip=$5.58
Lucia should tip $5.58 for a 20% tip on her $27.89 pizza order. The total cost including the tip is $33.47.
To compute the tip Lucia should give for her pizza delivery, we need to calculate 20% of the total cost of the pizzas, which is $27.89. We first convert the percentage into decimal form by dividing 20 by 100, which gives us 0.20. Then we multiply this decimal by the total cost of the pizzas:
Tip = 0.20 imes $27.89 = $5.578
Since we usually round money to the nearest cent, the tip would be approximately $5.58. Now, to find the total cost including the tip, we add the tip to the original total:
Total Cost = Original Cost + Tip
Total Cost = $27.89 + $5.58 = $33.47
Therefore, the total amount Lucia would pay for the pizzas, including a 20% tip, is $33.47.
L=4/3(C-30) solve for C literal equation
Answer:
C = [tex]\frac{3L+120}{4}[/tex]
Step-by-step explanation:
Given
L = [tex]\frac{4}{3}[/tex](C - 30)
Multiply through by 3 to clear the fraction
3L = 4(C - 30) ← distribute
3L = 4C - 120 ( add 120 to both sides )
3L + 120 = 4C ( divide both sides by 4 )
[tex]\frac{3L+120}{4}[/tex] = C
Problem Set#2:
In the cafeteria, 100 milk cartons were put on for breakfast. At the end of breakfast, 27 remained.
a. What is the ratio of the number of milk cartons taken to he total number of milk cartons?
b. What is the ratio of the number of milk cartons remaining to the number of milk cartons taken?
*Answer A-B
Answer:
a. the ratio is 73:100
b. the ratio is 27:73
Estimate 3,182 multiply by 5
Estimate the product of 3,182 multiplied by 5 by rounding to the nearest hundred, resulting in an estimation of 16,000.
Explanation:To estimate the product of 3,182 multiplied by 5, we can round 3,182 to the nearest hundred to make the multiplication simpler.
Rounding 3,182 to the nearest hundred gives us 3,200.
We then multiply 3,200 by 5:
3,200 x 5 = 16,000
This estimated product is not an exact answer but gives us a reasonable approximation that is easy to calculate mentally or on paper.
What is 4527 written in scientific notation?
OA) 4.527
O B) 4.527 x 102
OC) 4.527 x 103
OD) 4.527 x 104
Answer:
OC) 4.527 x 10^3
Step-by-step explanation:
To write a number in scientific notation, first move the decimal point to create a number between 1 and 10.
4527. becomes 4.527
To get your exponent, count how many places you moved the decimal. In this case, you moved the decimal three places.
4.527 * 10^3
What is the total cost of a $39.50 family dinner after you add a 20% tip
Answer:
$7.90 tip the total is $47.40
Step-by-step explanation:
Final answer:
To find the total cost of a $39.50 family dinner after adding a 20% tip, first calculate the amount of the tip by multiplying the cost of the dinner by the tip percentage. Then, add the tip to the cost of the dinner to get the total amount.
Explanation:
To find the total cost of a $39.50 family dinner after adding a 20% tip, you first need to calculate the amount of the tip. Tip is calculated by multiplying the cost of the dinner by the tip percentage. In this case, the tip would be 20% of $39.50, which is
$39.50 × 0.20 = $7.90
Next, you add the tip to the cost of the dinner to get the total amount:
$39.50 + $7.90 = $47.40
So, the total cost of the family dinner after adding a 20% tip is $47.40.
30 POINTS!!
Karl is investigating two transformations.
Karl claims that a reflection over the line y=1 transforms a point (x,y) to the point (2−x,y). For example, (1,1) is reflected to (1,1).
Karl makes a second claim that a reflection over the line y=x transforms a point (x,y) to the point (y,x). For example, (2,2) is reflected to (2,2).
Which statement correctly classifies Karl’s claims?
A
Karl is correct regarding the first claim, but a reflection over y=x carries (x,y) to (x,y).
B
Karl is correct in both of his claims because each provided example supports the associated claim.
C
Karl is incorrect in both of his claims because neither example is enough to prove the associated claim.
D
Karl is incorrect as a reflection over line y=1 carries (x,y) to (x,2−y) but is correct in his second claim.
solve for x : 3/5(x + 2)= x-4
Answer:
x = 13
Step-by-step explanation:
Given
[tex]\frac{3}{5}[/tex](x + 2) = x - 4
Multiply through by 5 to clear the fraction
3(x + 2) = 5x - 20 ← distribute left side
3x + 6 = 5x - 20 ( subtract 5x from both sides )
- 2x + 6 = - 20 ( subtract 6 from both sides )
- 2x = - 26 ( divide both sides by - 2 )
x = 13
What is the decimal equivalent to 4%?
Answer:
0.8
Step-by-step explanation:
4/5 0.8 80%
hope this is useful
Hey!
------------------------------------------------
Solution and Explanation:
When you want to find the decimal of a number just divide by 100.
4 / 100 = 0.04
------------------------------------------------
Answer:
[tex]\large\boxed{0.04}[/tex]
------------------------------------------------
Hope This Helped! Good Luck!
What times what equals -18
-1 x 18 = 18
-2 x 9 = 18
-3 x 6 = 18
-6 x 3 = 18
-9 x 2 = 18
-18 x 1 = 18
Hope this helped!
Nate
To get -18, we can use the factors
2 times -9 = 18How to fill the blanksTo find two numbers that multiply to give -18, we need to consider pairs of factors of -18. The factors of -18 are:
1 and -18
2 and -9
3 and -6
So, the pairs of numbers that multiply to give -18 are:
1 * -18 = -18
2 * -9 = -18
3 * -6 = -18
Therefore, -18 can be expressed as the product of various combinations of these pairs, such as (-2) * 9, (-3) * 6, and so on.
Learn more about times at
https://brainly.com/question/9091257
#SPJ6
Select the correct answer.
If the function 5x + y=1 has the domain (-2, 1, 6), then what is the corresponding range?
A. {-9,6,31}
B. {9, -6, -31)
C. {-11, 4, 29}
D. (11,-4,-29)
Answer:
answer is D
Step-by-step explanation:
5(-2) + y = 1 5(1) + y = 1 5(6) + y = 1
-10 + y = 1 5 + y = 1 30 + y = 1
y - 10 = 1 y + 5 = 1 y + 30 = 1
y = 11 y = -4 y= -29
The corresponding range function 5x + y=1 which has the domain (-2, 1, 6) will be option (D) {11,-4,-29}
Corresponding rangeA function is a correspondence or rule that assigns to each element in one set, called the domain D, exactly one element from a second set, called the range R.
How to solve this problem?The Steps are as follow:
GivenFunction = 5x + y = 1
domain = (-2 , 1, 6)
Corresponding range = ?
According to subject x ∈ {-2,1,6}So we will put the value of x as -2 ,1, 6 in function to find corresponding range which will be as follow:let x = -2
∴ 5x + y =1
∴ 5(-2) + y =1
∴ -10 + y =1
∴ y = 11
x = 1
∴ 5x + y = 1
∴ 5(1) + y = 1
∴ 5 + y = 1
∴ y = -4
x = 6
∴ 5x + y =1
∴ 5(6) + y = 1
∴ 30 + y =1
∴ y = -29
So the corresponding range function 5x + y=1 which has the domain (-2, 1, 6) will be option (D) {11,-4,-29}
Learn more about corresponding range here:
https://brainly.com/question/1853095
#SPJ2
Determine whether each function is continuous at x=5. Justify your answer using the continuity test.
Answer:
2. [tex]f(x)=\frac{x^2}{x+5}[/tex]
Step-by-step explanation:
When you replace x=5 into those functions you obtain:
[tex]1. f(x)=\sqrt{x^2-36} = \sqrt{5^2-36} = \sqrt{-11} \\2. f(x)=\frac{x^2}{x+5}=\frac{5^2}{5+5}=\frac{25}{10}[/tex]
We can see that the function number 1, when the x=5 is replaced, falls into the imaginary numbers or complex domain, so the function is not continuous in the real domain.
On the other hand, the second function falls into the real domain whe x=5 is replaced, so the function is continuous in the real domain!
I hope you understand!
x^3-64 in factored form
Answer: (x−4)(x2+4x+16)
Step-by-step explanation:
x^3 − 64 ←is a difference of cubes
. xa^3 −b^3 = ( a − b ) (a^2 + ab + b^2)
here a = x and b =4 → (4)^3 = 64
⇒ x^3 − 64 = (x − 4) (x^2 + 4x + 16 )
Answer:
[tex][{x}^{2} + 4x + 16][x - 4][/tex]
Step-by-step explanation:
Take the cube root of this expression using the Difference of Cubes [(a + b)(a² - 2ab + b²)]:
[tex]x - 4 = \sqrt[3]{{x}^{3} - 64}[/tex]
Now, since the divisor\factor is in the form of [tex]x - c[/tex], use what is called Synthetic Division. Remember, in this formula, −c gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:
4| 1 0 0 −64
↓ 4 16 64
__________
1 4 16 0 → [tex]{x}^{2} + 4x + 16[/tex]
You start by placing the c in the top left corner, then list all the coefficients of your dividend [x³ - 64]. You bring down the original term closest to c then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an x², the 4x follows right behind it, and bringing up the rear, 16, giving you the other factor of [tex]{x}^{2} + 4x + 16[/tex]. Attach this to the first factor you started out your work on:
[tex][x - 4][{x}^{2} + 4x + 16][/tex]
I am joyous to assist you anytime.
What is 12- 4/5(x+15)=4 please show me step by step.
Answer:
-5
Step-by-step explanation:
Explanation in the picture.
“Seven less than a number squared”
Answer:
7-x^2
Step-by-step explanation:
The required expression will be x² - 7
Expressions are functions separated by an operation sign.
For the given statement:
Let the unknown number be xThe square of the number will be x²7 less than number means we are to subtract 7 from the result x² as shown
F(x) = x² - 7
Hence the required expression will be x² - 7
Learn more here: https://brainly.com/question/13197330
the difference between 33 1/3% and 33%
Answer:
_
1/3, or 0.3 is there difference
Given: ∠5 ≅ ∠13
Which lines must be parallel?
A) r and s
B) p and q
C) p and r
D) q and s
Answer:
Option A) r and s
Step-by-step explanation:
we know that
When two lines are crossed by another line (called the Transversal), the angles in matching corners are called Corresponding Angles. If the lines are parallel, then the angles are congruent
In this problem
If lines r and s are parallel
then
m∠5≅m∠13 -----> by corresponding angles
Answer:
the answer on the usa testprep is A.
Step-by-step explanation:
give some brainlest
you start at 11 ,10 and you move 7units left and 5 units down
Answer:
(4 , 5)
Step-by-step explanation:
Note the point: (x , y) = (11 , 10)
Note that if you are moving left or right, you are changing the x variable.
Note that if you are moving up or down, you are changing the y variable.
In this case, you are starting at (11 , 10)
You move 7 units left (subtract 7 from x):
(11 - 7 , 10) = (4, 10)
You then move 5 units down (subtract 5 from y):
(4 , 10 - 5) = (4 , 5)
(4 , 5) is your answer.
~
Which toy pack has a cost of $2.50 per toy?
Answer:
Yo-Yo
Step-by-step explanation:
I do not know all the steps but I just joined but the answer is Yo-Yo!!
If, for a certain function, f(x)= 51, calculate the following values.
a.
f(x)-8
b.
1/2f(x)
c.
1/2f(x)-8
Answer: (a) 43 (b) 25.5 (c) 17.5
Step-by-step explanation:
f(x) = 51
Replace f(x) with 51
a) f(x) - 8 = 51 - 8 = 43
[tex]b)\quad \dfrac{1}{2}f(x)\qquad =\dfrac{1}{2}\cdot 51\qquad =\dfrac{51}{2}\qquad =25.5[/tex]
[tex]c)\quad \dfrac{1}{2}f(x)-8\qquad =25.5-8\qquad =17.5[/tex]
Driving to your friend's house, you travel at an average rate of 35 miles per hour. On your
home, you travel at an average rate of 40 miles per hour. If the round trip took you 45 minutes
how far is it from your house to your friend's house?
Answer:
14 miles.
Step-by-step explanation:
Let the distance traveled from home to destination = x miles.
Speed while going to friend's house = 35 miles per hour.
Speed while coming back = 40 miles per hour.
Total Time taken for the journey = 45 minutes = 0.75 hours.
Let the time taken while going to friend's house = y hours.
Therefore, the time taken while going to friend's house = (0.75 - y) hours.
To find x and y, model the speeds of both the journeys.
Speed while going to friend's house = Distance/Time.
35 = x/y.
x = 35y (Equation 1).
Speed while coming back = Distance/Time.
40 = x/(0.75 - y).
x = 40(0.75 - y) (Equation 2).
Since x = x, therefore:
35y = 30 - 40y.
75y = 30.
y = 30/75.
y = 0.4 hours.
Put y = 0.4 hours in Equation 1:
x = 35y.
x = 35(0.4).
x = 14.
Therefore, the distance between my friend's house and my house is 14 miles!!!
Answer:
The distance from my house to friend's house is 14 miles
Step-by-step explanation:
* Lets explain how to solve the problem
- Driving to the friend's house rate is 35 miles per hour
- Driving to my home rate is 40 miles per hour
- The round trip took 45 minutes
- We need to find the distance from my house to my friend's house
* At first lets change 45 minutes to hour because the rate of driving
unit is miles per hour
∵ 1 hour = 60 minutes
∴ 45 minutes = [tex]\frac{45}{60}=\frac{3}{4}[/tex] hour
- Assume that the distance from my house to friend's house is d,
the time for the trip from my house to the friend's house is [tex]t_{1}[/tex]
and the time from friend's house to my house is [tex]t_{2}[/tex]
∵ The distance between the two houses is d
∵ Distance = rate of driving × time of the trip
∴ d = 35 × [tex]t_{1}[/tex] = [tex]35t_{1}[/tex]
∴ d = 40 × [tex]t_{2}[/tex] = [tex]40t_{2}[/tex]
- Equate the two equations
∴ [tex]35t_{1}[/tex] = [tex]40t_{2}[/tex]
- Divide both sides by 35
∴ [tex]t_{1}=\frac{40}{35}t_{2}=\frac{8}{7}t_{2}[/tex]
∴ [tex]t_{1}=\frac{3}{4}t_{2}[/tex] ⇒ (1)
- The time of the round trip is [tex]\frac{3}{4}[/tex] hour
∴ [tex]t_{1}+t_{2}=\frac{3}{4}[/tex] ⇒ (2)
- Substitute equation (1) in equation (2)
∴ [tex]\frac{8}{7}t_{2}+t_{2}=\frac{3}{4}[/tex]
∴ [tex]\frac{15}{7}t_{2}=\frac{3}{4}[/tex]
- Divide Both sides by [tex]\frac{15}{7}[/tex]
∴ [tex]t_{2}=0.35[/tex] hour
∵ d = [tex]40t_{2}[/tex]
- Substitute the value of [tex]t_{2}[/tex] in the equation above
∴ d = 40(0.35) = 14
∵ d represents the distance from my house to friend's house
∴ The distance from my house to friend's house is 14 miles
There are 364 first-grade students in Park Elementary School. If there are 26 more girls than boys, how many girls are there?
There are 169 boys and 195 girls in the first-grade class at Park Elementary School.
Explanation:Let's assume the number of boys in the first-grade class is x. Since there are 26 more girls than boys, the number of girls would be x + 26. The total number of students in the class is 364, so we can calculate the equation:
x + (x + 26) = 364
Simplifying the equation, we get:
2x + 26 = 364
Subtracting 26 from both sides:
2x = 338
Dividing both sides by 2:
x = 169
So there are 169 boys and 169 + 26 = 195 girls.
Learn more about Number of girls in the first-grade class here:https://brainly.com/question/34273806
#SPJ2
how do make a rational to a fraction
Answer:
Step-by-step explanation:To convert part-to-part ratios to fractions:
Use the total number as the denominator: 6 + 8 = 14.
Use each of the ratio terms as the numerator in a fraction: ...
Reduce each fraction to lowest terms: ...
The part-to-part ratio 6 : 8 converts into the fractions:
To convert a rational expression to a fraction, create a common denominator, multiply by the inverse when dividing fractions, and simplify by canceling out common factors after prime factorization.
Converting a rational expression to a fraction involves creating a common denominator for the terms involved. When dividing fractions, the process is to change the division to multiplication by the inverse of the second fraction and then multiplying the numerators and denominators as above. A conversion factor in a measurement context is simply a fraction equal to one, with the original unit in the denominator to cancel it out and the new unit in the numerator.
When simplifying fractions it's useful to remember that multiplying or dividing both numerator and denominator by the same number does not change the value of the fraction; this is often referred to as multiplying by a fraction that equals one (1/2, 2/2, 3/3, etc.). Simplifying a fraction may involve finding these 'fractions equal to one' to cancel out the same factors in both the numerator and denominator.
Mike rides his motorcycle at an average speed (velocity) of 20 meters / second for
500 seconds how far did he ride?
Answer:
10,000 meter's is the answer
Step-by-step explanation:
multiply 20 and 500
P(-2,2.5) Q(1.4,4) Find the midpoint
Answer:(-0.3,3.25)
Step-by-step explanation:
The midpoint of P(-2,2.5) and Q(1.4,4) is ( -0.3, 2.25)
What is Midpoint?A midpoint is defined as in the middle of the line connecting two points a position known as a midpoint. A location in the middle of a line connecting the two points that are equally far from both points is the midpoint.
Let two points A (x₁, y₁) and B (x₂, y₂), the midpoint between A and B is given by,
M(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2
Given P(-2,2.5) and Q(1.4,4)
So the midpoint = [(-2 + 1.4)/2, (2.5 + 4)/2]
The midpoint = [(-0.6)/2, (4.5)/2]
The midpoint = ( -0.3, 2.25)
Hence, the midpoint of P(-2,2.5) and Q(1.4,4) is ( -0.3, 2.25).
Learn more about the midpoint here :
https://brainly.com/question/5127660
#SPJ2
(PLEASE HELP ME IM STRUGGLING) (picture is shown) Here is an illustration of a four way stop. those roads are two lines and they intersect at a.....???
The roads are two lines and they intersect at 90° .
What is intersection of line?Intersecting lines cross each other at some arbitrary angle .
What are perpendicular lines?Two geometric objects are perpendicular if they intersect at a right angle. A line is said to be perpendicular to another line if the two lines intersect at a right angle.
According to the question
Roads have 2 lanes and have crossing lane .
Now,
Those roads are two lines and they intersect at a right angle by making 90° at there point of intersection .
So,
They are perpendicular lines .
Hence, the roads are two lines and they intersect at 90° .
To know more about intersection of line and perpendicular lines here:
https://brainly.com/question/18271653
#SPJ2
Please help me, please?
The answer is 14 2/3
I hoped this helped youuuuu!!!!!
Simplify the square root of 16 plus the square root of 40
√16 + √40 = √4×4 + √4×10
= 4 + √2×2×10
= 4 + 2√10
If you need a better explanation just as in the comments.
Happy to help! Please mark as BRAINLIEST! Thanks
Answer:
4+ 2*√10
Step-by-step explanation:
√16 = 4
√40 = √4* √10
√4=2
√40 = 2 *√10
the square root of 16 plus the square root of 40 simplified is
4+ 2*√10
an average person has 6x10 2power times as many red blood cells as white blood cells. A small sample of blood has 7x10 3power white blood cells. about how many red blood cells are in the sample
Answer:
4.2×10to the 6th or 4,200,000
Step-by-step explanation:
First you have to know that you are multiplying these two numbers. When you multiply exponents like there you add the matissa's (6&7) and add the exponents.
6×10to the 2 * 7×10to the 3rd
42 × 10to the 2+3
42×10to the 5th
Something else you need to know is your matissa cant be higher than 10
So:
4.2 × 10to the 6th is your answer
The sample contains 42 × 10⁵ red blood cells.
What happens when same base is multiplied ?When same base is multiplied their powers gets added.
For example - a×a×a×a×a×a = a⁶.Here a has nothing in it's power means it has 1 to it's power.
According to the given question
For every 1 while blood cells an average person has 6x10² times as many red blood cells.
A small sample of blood contains 7 × 10³ white blood cells.
∴ The amount of red blood cells in the sample is
= (7 × 10³)(6× 10²) red blood cells.
= (7×6)(10³×10²)
= 42 × 10⁵ red blood cells.
Learn more about exponents here :
https://brainly.com/question/15993626
#SPJ2
Describe a way to calculate 304-81 mentally by using reasoning other that the common subtraction algorithm. Then write a coherent sequence of equations that correspond to your reasoning
Answer:
See explanation
Step-by-step explanation:
To subtract mentally 81 from 304, complete following steps:
Step 1: Write number 304 as
[tex]304=300+4\\ \\304=200+100+3+1\\ \\304=200+20+80+3+1[/tex]
Step 2: Write number 81 as
[tex]81=80+1[/tex]
Step 3: Now subtract 80 and 1 from number 304:
[tex]304-81=(200+20+80+1+3)-(80+1)\\ \\304-81=200+20+3\\ \\304-81=223[/tex]
Final answer:
To mentally subtract 304-81, round 81 to 100, subtract from 304 to get 204, then add back the difference (19) for a result of 223.
Explanation:
To calculate 304-81 mentally, we can round 81 up to 100 to make the numbers easier to work with. We know that 304 - 100 = 204.
Since we've subtracted too much by rounding up, we need to add back the difference between 81 and 100, which is 19.
So the full calculation would be 304 - 81 = 304 - 100 + 19 = 204 + 19 = 223.
The coherent sequence of equations aligning with this reasoning would be:
304 - 100 = 204 (rounding 81 up to 100 and subtracting)100 - 81 = 19 (finding the difference between the rounded number and the original number)204 + 19 = 223 (adding the difference back)a number
divided by
negative three
is four
Answer:
-12 ÷ -3 = 4
Step-by-step explanation:
Two negatives equal a positive
Rate as brainliest plz