Answer:
0.25 pints of raspberries do you get per dollar.
Step-by-step explanation:
Unit rate defined as the rates are expressed as as a quantity of 1, such as 3 feet per second or 4 miles per hour, they are called unit rates.
As per the given statement: A farm lets you pick 3 pints of raspberries for $12.00.
⇒ for $12 a farm lets you pick 3 pints of raspberries.
then by unit rate definition,
Unit rate per dollar = [tex]\frac{3}{12} = \frac{1}{4} = 0.25[/tex] pint
Therefore, 0.25 pints of raspberries do you get per dollar.
Answer:0.25
Step-by-step explanation: hope I helped !
Can someone please explain this question?
Answer:
The limit does not exist
Step-by-step explanation:
lim as we approach from below 7
x+5 when x=7
7+5
12
lim as we approach from above 7
5x-25 when x=7
5*7 -25
35-25
10
The limit does not exist since these numbers are not the same
Answer:
Limit [tex]7^{-}[/tex] (left hand side limit) is 12
Limit [tex]7^{+}[/tex] (right hand side limit) is 10
Limit at 7 DOES NOT EXIST
Step-by-step explanation:
Limit [tex]7^{-}[/tex] means the limit from left side of 7Limit [tex]7^{+}[/tex] means the limit from left side of 7Limit at 7 will exist and would be equal IF BOTH SIDE limits are EQUAL, or else LIMIT DOESN'T EXIST!Limit [tex]7^{-}[/tex]:
When we want to find limit of left side of 7, we take the first part of the function shown (since its defined for [tex]x\leq7[/tex]).
We check values very close to 7 but less than it:
checking 6.98: [tex]6.98+5=11.98[/tex]checking 6.99: [tex]6.99+5=11.99[/tex]So the limit is approaching 12.
Thus, left hand side limit is 12.
Limit [tex]7^{+}[/tex]:
When we want to find limit of right side of 7, we take the second part of the function shown (since its defined for [tex]x>7[/tex]).
We check values very close to 7 but greater than it:
checking 7.02: [tex]5(7.02)-25=10.1[/tex]checking 7.01: [tex]5(7.01)-25=10.05[/tex]So the limit is approaching 10.
Thus, right hand side limit is 10.
Limit at 7:
If both right hand side limit and left hand side limit equal, then the limit at that specific number exists and is equal to it.
Since we see that the left hand limit (12) and the right hand limit (10) ARE NOT EQUAL, so we conclude that the limit at 7 for the function given DOES NOT EXIST.
Need help with Select Expansion or Contraction to correctly describe the type of dilation for each given scale factor.
To know if a dilation is an expansion ( bigger) r a contraction ( smaller) ignore the negative sign.
If the number is larger than 1, it is an expansion, if the number is smaller than 1 it is a contraction.
-4 is an expansion
2.5 is an expansion
2/3 is a contraction
-3/4 is a contraction
Explain how mental math can be used to estimate a 15% tip on a taxi ride that costs $23.25 Find the tip using that method. Halp pllz!
Answer:
$3.4875
Step-by-step explanation:
AS the ride is completed and according the rule the person have to give a tip on the total taxi ride
according to the given
tip given 15%
Total ride cost = $23.25
To find is the total tip given in dollars
Solution:
Total tip in dollars = 15 % of total ride cost
Putting the values of the given
Total tip in dollars = 15 % of 23.25
it can be written as
= [tex]\frac{15*23.25}{100}[/tex]
=[tex]\frac{348.75}{100}[/tex]
=$ 3.4875
So the total tip would be $3.4875
Answer:
3.50 cent
Step-by-step explanation:
I take 10% and 20% of the number. For this ride, that would be about $2.33 and 4.66.
Then I estimate what is about half way between those two numbers. It looks like about $3.50 would be about 15%.
Simplify the expression 2+3i/4+3i
Please help
Answer:
17+6i
-----------
25
Step-by-step explanation:
2+3i
---------
4+3i
We want to multiply by the complex conjugate of the denominator
4+3i has a complex conjugate of 4-3i
2+3i 4-3i
--------- * --------------
4+3i 4-3i
Lets multiply the numerator
(2+3i) ( 4-3i)
2*4 +4*3i -3i*2 - 3i*3i =
8 +12i -6i - 9i^2
Remember i^2 = -1
8 +6i -9(-1)
17 +6i
Lets multiply the denominator
(4+3i) ( 4-3i)
4*4 +4*3i -3i*4 - 3i*3i =
16 +12i -12i - 9i^2
Remember i^2 = -1
16 -9(-1)
25
Putting numerator over denominator
17+6i
-----------
25
From which language does the underlined phrase originate? When the house guests arrived, Granny said, "Mi casa es su casa." A. French B. Italian C. Spanish D. Algonquian Please select the best answer from the choices provided A B C D
The correct answer is option C - Spanish.
From which language does the underlined phrase originate? When the house guests arrived, Granny said, "Mi casa es su casa."
"mi casa es su casa" is a common Spanish expression which means - "welcome" or "make yourself at home" Mi casa es su casa literally means "my house is your house".
Mike took a taxi from his home to the airport. The taxi driver charged an initial fee of $6plus$3 per mile. The total fare was $24, not including tip. How many miles did Mike travel by taxi on this ride.
Answer:
6 miles
Step-by-step explanation:
AS Mike took the taxi from his home to airport and covered a distance
Initial fee of the ride was $ 6 which is fixed
Now with each mile he has to pay $3
Total he paid = $ 24
Now we have to find the total no of miles traveled by Mike
The tip given is 0
Now from the given we can make an equation
Initial fee + 3 * miles traveled = total Paid
Let total no of miles traveled are x
Putting all the values in the given equation
6 + 3 * x = 24
6 + 3x = 24
3x = 24-6
3x = 18
Dividing both sides by 3
x = 18 /3
x =6 miles
So the total miles traveled by him is 6 miles
The equation is $6 + $3 *m = $24, where m represents the number of miles traveled. Solving this, Mike traveled 6 miles.
The student's question concerns calculating the distance Mike traveled by taxi, given the initial fee and the per mile charge, as well as the total fare. To solve this, we can set up a simple algebraic equation. The initial fee is $6, and the charge per mile is $3. Since the total fare was $24, our equation becomes:
Initial fee + (charge per mile * number of miles) = Total fare
$6 + $3 * m = $24
Where m represents the number of miles Mike traveled. We will solve for m to find the distance Mike traveled
Subtract the initial fee from the total fare: $24 - $6 = $18Divide by the charge per mile to find the number of miles: $18 / $3 = 6 milesThus, Mike traveled 6 miles by taxi on this ride.
AD _____ EC
Choose the relationship symbol to make a true statement.
<
=
>
Answer:
AD>EC
Step-by-step explanation: If you look at the two traingles, angle AD is a bit larger than angle EC, this is due to the degrees of the angles, EC-> 25,
AD-> 30, this makes the triangle of AD, greater than EC.
A family buys groceries for $154.35, including $10.37 in taxes. The bill includes $27.83 worth of items that are not taxable. Find the sales tax rate.
Anna wants to buy season passes to two theme parks. If one season pass costs $54.99 and Anna has $100 to spend on both passes, the second pass has to cost no more than what amount?
Answer:
54.01
If it’s an less than problem then
49.01<54.01<100
Step-by-step explanation:
100-54.99
= 54.01
Solve the system by substitution. Show your work. 4 pts 2) -2x - 3 y = -2 y = 2x + 6
Solve the system by elimination. Show your work. 4 pts
3) -x - 18 y = -3
7x - 9 y = 21
please help
I need this before midnight 12/19/2018
Answer:
2. x=-2 y= 2
3. x=3 y=0
Step-by-step explanation:
-2x - 3 y = -2
y = 2x + 6
The first step is to get x and y on the same side
Take the second equation and subtract 2x from each side
-2x+ y = 2x-2x + 6
-2x+y = 6
Multiply this by -1
-1(-2x+y) =-1*6
2x -y =-6
Add this to the first equation to eliminate x
-2x - 3 y = -2
2x -y =-6
--------------------
-4y = -8
Divide by -4
-4y/-4 = -8/-4
y =2
Now we need to find x
y = 2x + 6
Substituting in y=2
2 = 2x+6
Subtract 6 from each side
2-6 = 2x+6-6
-4 = 2x
Divide by 2
-4/2 = 2x/2
-2 =x
3) -x - 18 y = -3
7x - 9 y = 21
We will eliminate by by multiplying the second equation by -2
-2(7x - 9 y) = -2*21
-14x + 18y = -42
Now we will add this to the first equation
-x - 18 y = -3
-14x + 18y = -42
-------------------------
-15x = -45
Divide by -15
-15x/-15 = -45/-15
x =3
We still need to solve for y
-x -18y = -3
Substituting in x =3
-3 -18y = -3
Add 3 to each side
-3+3 -18y =-3+3
-18y =0
Divide by -18
y= 0
What is the equation of the line:
Answer:
Final answer is y=3x-2.
Step-by-step explanation:
We have been given a graph and using that graph we need to find the equation of line.
Equation of line is given by formula y=mx+b
Where b is the y-intercept.
We see that graph crosses y-axis at (0,-2) so that means b=-2
Now plug b=-2 into formula y=mx+b. We get:
y=mx-2 ...(i)
Now find any point from the graph say (1,1) and plug into (i) to find value of slope m
1=m*1-2
1=m-2
1+2=m
3=m
Now plug m=3 into (i). We get:
y=3x-2
Hence final answer is y=3x-2.
Select the equation which graphs to a vertical line at -3.
A) y=-3
B) x=-3
C) y=-3x
D) x=-3y
Answer: B) x = -3
Every point on this line has one thing in common: the x coordinate is -3. This is why x is fixed at -3, so we simply say the equation is x = -3
Some example points on this line are (-3,10) and (-3,2)
The y coordinate can be anything you want, so that is why it doesn't show up at all (because it doesn't affect how x will turn out).
It takes layla 2/5 hour to swim 1/2 mile what is the unit rate of miles that layla can swim per hour
Answer:
1 1/4 mph
Step-by-step explanation:
Distance = rate x time
1/2 mile = R x 2/5 hour
1/2=2/5R
/2/5 /2/5
R=1/2 x 5/2
R=1 1/4
I hope this helps :)
CDs are on sale for $5 each.Jennifer has $45 and wants to buy as many as she can.How many CDs can Jennifer buy?
Answer: (9 CDs)
If she has $45 and the CDs cost $5. The most she can buy is 9 CDs
The number of maximum CDs that Jennifer can buy is 9.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Division = divide any two numbers or variables called division.
As per the given,
Cost of one CD = $5
Jennifer budget = $45
Number of CDs can buy = Jennifer's budget/cost of one CD
Number of CDs can buy = 45/5 = 9
Hence "The number of maximum CDs that Jennifer can buy is 9".
To learn more about the arithmetic operators,
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There are 40 flavors of ice cream at the local ice cream store. 37.5% of the flavors contain chocolate. Which proportion could be used to calculate the total number of ice cream flavors that contain chocolate?
Which expression, when simplified, is equal to 7p? A) 9p – 2pq – 7p – 5p + 2pq B) 9p – 2pq – 7p + 5p – 2pq C) 9p + 2pq – 7p + 5p – 2pq D) 9p + 2pq + 7p + 5p – 2pq E) 9p + 2pq – 7p + 5p + 2pq
Answer:C
Step-by-step explanation:
2pq - 2pq is zero. B and E have no zero pq coefficient.
p(9-7+5) = 7p
Answer:
c
Step-by-step explanation:
i did the test lol
The ratio of the lengths of the corresponding sides of two rectangles is 8:3 . The area of the larger rectangle is 320 ft. What is the area of the smaller rectangle
Sarah drove 40 miles per hour . In 3 hours sarah drove 120 miles . Which is a vaild proportion to represent the problem?
Answer:
Step-by-step explanation:
1/40=3/120
2) Line segment MK has endpoints at (2, 3) and (5, ?4). Segment M'K' is the reflection of MK over the y-axis. Which statement describes the relationship between MK and M'K'? A)M'K' is twice the length of MKB)M'K' is half the length of MK.C)M'K' is the same length as MK.D)More information is needed to determine the relationship
Answer:
Option C -M'K' is the same length as MK
Step-by-step explanation:
Given : Line segment MK has endpoints at (2, 3) and (5,4)
M'K' is the reflection of MK over the y-axis
By definition of reflection: reflection of point (x,y) across the the y-axis is the point (-x,y)
which implies M'K' has end points (-2,3) and (-5,4)
Now, we find the length of MK
let [tex](x_1,y_1)=(2,3)\\\\(x_2,y_2)=(5,4)[/tex]
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
⇒ [tex]d=\sqrt{(2-5)^2+(4-3)^2}[/tex]
⇒[tex]d=\sqrt{9+1}[/tex]
⇒[tex]d=\sqrt{10}[/tex] ....(1)
Now, we find the length of M'K'
let [tex](x_1^{'},y_1^{'})=(-2,3)\\\\(x_2^{'},y_2^{'})=(-5,4)[/tex]
[tex]d^{'}=\sqrt{(x_2^{'}-x_1^{'})^2+(y_2^{'}-y_1^{'})^2}[/tex]
⇒ [tex]d^{'}=\sqrt{(-2+5)^2+(3-4)^2}[/tex]
⇒[tex]d^{'}=\sqrt{9+1}[/tex]
⇒[tex]d^{'}=\sqrt{10}[/tex] .....(2)
from (1) and (2) we simply show that the length of MK and M'K' is equal
we can also refer the figure attached for reflection of MK and M'K'
therefore, Option C is correct
Answer:
M'K' is the same length as MK.
Step-by-step explanation:
A reflection is a rigid transformation. Rigid transformations do not affect the length of the line segment
It takes 28 minutes to play 8 songs on a radio.Every song is played for the same length of time.How does it take to play 1 song?Express your answer as a mixed number or a decimal
Answer:
you would divide 28 by 8 and get 3.5. so around 3:30 per song
Step-by-step explanation:
Answer:
Step-by-step explanation:28÷8=3.5 , each song is 3 and a half minutes long
One side of a kite is 5 cm less than 2 times the length of another. If the perimeter is 14 cm, find the length of each side of the kite.
A) 5 cm, 5 cm
B) 4.2 cm, 3.4 cm
C) 6.3 cm, 7.7 cm
D) 4 cm, 3 cm
Answer:
Step-by-step explanation:
Alright, lets get started.
Suppose one side of the kite is x
One side of a kite is 5 cm less than 2 times the length of another.
So, another side of the kite will be = [tex]2x-5[/tex]
So, the all 4 sides of the kite will be x, x , 2x-5 and 2x-5
The perimeter of the kite will be = [tex]x+x+2x-5+2x-5=6x-10[/tex]
As per given in question, perimeter is 14, so
[tex]6x-10=14[/tex]
Adding 10 in both sides
[tex]6x=24[/tex]
Dividing 6 in both sides
[tex]x=4[/tex]
So, another side is [tex]2*4-5=3[/tex]
So, the sides are 4 cms and 3 cms : Answer D
Hope it will help :)
Answer:
D) 4 cm, 3 cm
Step-by-step explanation:
Since we know that kite is made of two sets of equal sides.
Let x be the length of one of equal sides and y be length of another side of equal sides.
We have been given that one side of a kite is 5 cm less than 2 times the length of another. We can represent this information as:
[tex]x+5=2y...(1)[/tex]
We are also told that the perimeter is 14 cm. We can represent this information as:
[tex]2(x+y)=14...(2)[/tex]
From equation (1) we will get,
[tex]x=2y-5[/tex]
Substituting this value in equation (2) we will get,
[tex]2(2y-5+y)=14[/tex]
[tex]2(3y-5)=14[/tex]
[tex]6y-10=14[/tex]
[tex]6y-10+10=14+10[/tex]
[tex]6y=24[/tex]
[tex]y=\frac{24}{6}[/tex]
[tex]y=4[/tex]
Therefore, length of one side of kite is 4 cm.
Upon substituting y=4 in equation (1) we will get,
[tex]x+5=2*4[/tex]
[tex]x+5=8[/tex]
[tex]x+5-5=8-5[/tex]
[tex]x=3[/tex]
Therefore, the length of another side of kite is 3 cm and option D is the correct choice.
Given the inequality: m − 11 ≤ 16 or 15 − 2m < −7 Solve for j and graph the solution on a number line. Must show your work to receive full credit. (Equation is the second question in the attached photo)
Answer:
m ≤ 27 or m > 11
m is all real number since we have the or
Step-by-step explanation:
m − 11 ≤ 16 or 15 − 2m < −7
Lets solve the one on the left first
m − 11 ≤ 16
Add 11 to each side
m-11+11 ≤ 16 +11
m ≤ 27
Now lets solve the one on the right
15 − 2m < −7
Subtract 15 from each side
15 −15- 2m < −7 -15
-2m < -22
Divide by -2, remembering to flip the inequality
-2m/-2 > -22/-2
m > 11
at the beginning of the week, Miguel's odometer reads 87,845. At the end of the week, his odometer reads 88,003. How many miles did Miguel travel that week?
Hey there.
To do this, we simply just subtract. 88,003-87,845
Once we do this, we get 158. Miguel traveled 158 miles that week.
-TheOneandOnly003
Answer:
87,845-88,033= -188 so he traveled 188 miles that week.
In your neighborhood, 7/25 of your neighbors have dogs. This is equivalent to what decimal?
See the attached picture:
The fraction 7/25 translates to the decimal 0.28 in mathematics.
Explanation:In the question, we are to translate the fraction 7/25 to a decimal. This is a straightforward conversion in the field of mathematics. To convert this fraction to a decimal, we divide the numerator (the top number) by the denominator (the bottom number), yielding 7 ÷ 25 = 0.28. Therefore, the fraction 7/25 is equivalent to the decimal number 0.28 when rounded to two decimal places.
Learn more about Fraction to Decimal Conversion here:https://brainly.com/question/31738948
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Justing has 20 pencils, 25 erasers, and 40 paper clips. He organize them into groups with the same number of items and each group. All the items in. Group will be the same type. How many items can he put in each group?
Answer:
The answer is 17 items in 5 groups.
Step-by-step explanation:
If we have 20 pencils + 25 erasers + 40 paper clips; that´s a total of 85 items.
Then we just divide all the items into 5 groups so we can have the same amount of items in each group.
85 items ÷ 5 groups = 17 items each.
17 x 5 = 85.
Three electrical appliances each have power ratings of 1 7/8 watts, and 2 other appliances each have power ratings of 4 3/4 watts.What is the total power used by these appliances?
Answer:
11 3/8 watts
Step-by-step explanation:
1 7/8 converts to 1.875
4 3/4 converts to 4.75
4.75 * 2 = 9.5
9.5 + 1.875 = 11.375
11.375 converts to 91/8 or 11 3/8
Write the quadratic equation in standard form for the following equations
(7,4);(-2,1);(1,9)
Answer:
[tex]y=-\frac{7}{18}x^2+\frac{41}{18}x+\frac{64}{9}[/tex]
Step-by-step explanation:
We need to write a quadratic equation so we can use standard quadratic equation:
[tex]y=ax^2+bx+c[/tex]
Plug the given points to get three equations.
for (7,4), we plug x=7 and y=4
[tex]4=a(7)^2+b(7)+c[/tex]
[tex]4=49a+7b+c[/tex] ...(i)
similarly using other two points, we get:
[tex]1=4a-2b+c[/tex] ...(ii)
[tex]9=a+b+c[/tex] ...(iii)
Now we solve those three equations by any method like substitution, or matrices or by any method and get:
[tex]a=-\frac{7}{18},\ b=\frac{41}{18},\ c=\frac{64}{9}[/tex]
Now plug these values into [tex]y=ax^2+bx+c[/tex], we get final equation as:
[tex]y=-\frac{7}{18}x^2+\frac{41}{18}x+\frac{64}{9}[/tex]
Sarah bought a shirt on sale for $35. The original price of the shirt was three times that amount Sarah also bought a pair of shoes on sale for $28 they original price of the shoes with five times that amount together how much money did the shirt and shoes cross before they went on sale.
Answer:
$245
Step-by-step explanation:
Orignal price for shirt was 105
Original price for shoe sizes was 140
105+140=245
1
8
of the boys at a high school tried out for the football team,
1
6
tried out for the baseball team, and
1
12
tried out for the football team and baseball team. What fraction of those who tried out for football also tried out for baseball?
Answer:
78
Step-by-step explanation:
112-18-16=78
Answer:
Correct answer is 2/3.
Step-by-step explanation:
35 pts!! Please help this will help me graduate!!!
Consider this system of equations:
-3x + 5y = 22 (equation 1)
20y − 11 = 12x (equation 2)
This system of linear equations represents ___lines.
(A. coincidental B. Intersecting C. parallel)
The system of equation 1 and the equation 20y = 12x + 88 represents___ lines.
(A. coincidental B. Intersecting C. parallel)
Answer:
This system of linear equations represents parallel lines.
The system of equation 1 and the equation 20y = 12x + 88 represents coincidental lines
Step-by-step explanation:
-3x + 5y = 22 (equation 1)
Lets solve the equation for y
Add 3x on both sides
5y= 3x+22
Now divide by 5 on both sides
[tex]y=\frac{3x}{5}+ \frac{22}{5}[/tex]
Slope of equation 1 is [tex]\frac{3}{5}[/tex]
20y − 11 = 12x (equation 2)
solve for y
Add 11 on both sides
20y = 12x + 11
Divide by 20 on both sides
[tex]y=\frac{12x}{20}+ \frac{11}{20}[/tex]
simplify the fraction
[tex]y=\frac{3x}{5}+ \frac{11}{20}[/tex]
Slope of equation 2 is [tex]\frac{3}{5}[/tex]
Slope of equation 1 and equation 2 are same , so the lines are parallel
This system of linear equations represents parallel lines.
-3x + 5y = 22 (equation 1) and 20y = 12x + 88
Solve both equations for y
-3x + 5y = 22 (equation 1)
[tex]y=\frac{3x}{5}+ \frac{22}{5}[/tex]
Slope of equation 1 is [tex]\frac{3}{5}[/tex] and y intercept is 22/5
20y = 12x + 88
Divide by 20 on both sides and simplify the fraction
[tex]y=\frac{3x}{5}+ \frac{22}{5}[/tex]
Slope of 20y=12x+88 is [tex]\frac{3}{5}[/tex] and y intercept is 22/5
Slope and y intercepts are same so the lines are coincidental
The system of equation 1 and the equation 20y = 12x + 88 represents coincidental lines