Answer:
5 cases
10 additional units
Step-by-step explanation:
Given that:
Total number of units needed = 60 units
Total number of units per case = 14
Hence, the total number of cases required will
be: Number of units needed / number of units per
case
Number of cases required = 60/14 = 4.285 (this be up to 60 units)
means that 5 cases are required as 4 cases won't
With 5 cases, we have exceeded the required units needed:
Additional units will be: (145)-60
Additional units = 70 - 60 = 10 units
Step-by-step explanation:
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The total price of 5 pounds of bananas was $1.95. What was the price per pound?
Answer:
Well you divide the total of 1.95/5
.39 cent
Answer:
you would need to do 1.95/5 and that equals 39 cents so your answer would be .39
17 The table below shows the distance a car has traveled.
50
20
f
40
Minutes
Distance
Traveled
(in miles)
What is the meaning of the slope of the linear model for the data?
60
100
a) The car travels 5 miles every minute.
b) The car travels 4 miles every minute.
c) The car travels 4 miles every 5 minutes.
d) The car travels 5 miles every 4 minutes.
125
80
100
Given statement solution is :- None of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.
To determine the meaning of the slope of the linear model for the given data, let's analyze the information provided. The table represents the distance traveled by a car at different time intervals.
Minutes | Distance Traveled (in miles)
50 | 20
20 | f
40 | 60
100 | a
125 | 80
100 | 100
To find the slope of the linear model, we need to calculate the change in distance divided by the change in time. Let's consider the intervals where the time changes by a fixed amount:
Between 50 minutes and 20 minutes: The distance changes from 20 miles to 'f' miles. We don't have the exact value of 'f', so we can't calculate the slope for this interval.
Between 20 minutes and 40 minutes: The distance changes from 'f' miles to 60 miles. Again, without knowing the value of 'f', we can't calculate the slope for this interval.
Between 40 minutes and 100 minutes: The distance changes from 60 miles to 'a' miles. We don't have the exact value of 'a', so we can't calculate the slope for this interval.
Between 100 minutes and 125 minutes: The distance changes from 'a' miles to 80 miles. Since we still don't have the exact value of 'a', we can't calculate the slope for this interval.
Between 125 minutes and 100 minutes: The distance changes from 80 miles to 100 miles. The time interval is 25 minutes, and the distance change is 100 - 80 = 20 miles.
Therefore, based on the given data, we can conclude that the car travels 20 miles in 25 minutes. To determine the meaning of the slope, we divide the distance change by the time change:
Slope = Distance Change / Time Change
= 20 miles / 25 minutes
= 0.8 miles per minute
So, none of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.
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Given that 11th term of an arithmetic progression is u 3 and the first term is 3 find the common difference (b)U th term
The common difference of Uth term is 0
A series of numbers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.
The nth term of the sequence () is given by: If the first term of an arithmetic progression is and the common difference between succeeding members
Formula
a_n=a_1+(n-1)d
a_n = the nth term in the sequence
a_1 = the first term in the sequence
d = the common difference between terms
we gives
a_n=a+(n-1)d
a_11=a+(n-1)d
a_11=a+(11-1)d
a_11=a+10d
a_11=3+10d
10d=-3
d=(-3)/10, a=3
To find the Uth term of sequence
U_n=a+d(n-1)
U_11=a+d(11-1)
apply the value of a=3,d=(-3)/10
U_11=3+((-3)/10 (11-1) )
U_11=3+((-3)/10 (10) )
U_11=3+(-3)
U_11=0
Therefore, Uth term of arithmetic progression is 0.
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5. Dan is making the perfect shade of purple paint for his Nana. The perfect shade of purple mixes red and blue paint at a
ratio of 4 to 5. Accidently Dan mixed five cups of red and four cups of blue, using up all his red paint. How much blue must
he add to fix his mistake?
Answer:
2 and 1/4 cups
Step-by-step explanation:
4 cups-5 cups
5 cups-?
(5×5)÷4=6 cups and 1/4
6 and 1/4-4=2 cups and 1/4
Tyler sets off at 10:30 to travel to his friends house, which is 25 miles away
Answer:
Both G and E
Step-by-step explanation:
Start at 10:30-10:50 (20min)(10miles)
10:50-1140 (50min)(15miles)
x − 78 = 6(2x + 3) − 8
evaluate 1/6r+11/24 when r =1/4
Y=1/3x + 2 what is the domain?
Jocelyn expects her new software company to increase its sales best year 2 3/4 times their present value. Write this increase as a percent
Answer:
175%.
Step-by-step explanation:
Given that Jocelyn expects her new software company to increase its sales best year 2 3/4 times their present value, to determine this increase as a percentage, the following calculation must be performed:
3/4 = 0.75
2 + 0.75 = 2.75
Thus, if for example its present value were $ 10, the increase would operate as follows:
10 x 2.75 = 27.5
10 = 100
27.5 = X
27.5 x 100/10 = X
2750/10 = 275
275 - 100 = 175
Thus, an increase of 2 3/4 times would be equal to an increase of 175%.
rita walks on a treadmill for exercise she creates the table below to show the relationship between the amount of time t she spends on the treadmill and the distance d she walks which equation models this relationship
The equation that models the relationship between the amount of time Rita spends on the treadmill (t) and the distance she walks (d) is: d = 2t
To determine the equation that models the relationship between the amount of time Rita spends on the treadmill (t) and the distance she walks (d), let's analyze the given table.
Since the table displays the relationship between time and distance, we can observe the pattern and infer the equation. Let's assume that Rita walks at a constant speed.
Table:
Time (t) Distance (d)
10 2
20 4
30 6
40 8
50 10
From the table, we can see that the distance Rita walks is always twice the amount of time she spends on the treadmill. This implies that for every 10 units of time, Rita walks 2 units of distance. Therefore, we can conclude that the relationship between time and distance can be represented by a linear equation.
Let's define the equation:
d = m * t
In this equation, 'd' represents the distance, 't' represents the time, and 'm' represents the slope or rate at which Rita walks.
From the given table, we can observe that for every 10 units of time (t), the distance (d) increases by 2 units. This indicates that the slope (m) of the equation is 2.
Therefore, the equation that models the relationship between the amount of time Rita spends on the treadmill (t) and the distance she walks (d) is:
d = 2t
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Charlie has an annual salary of $75,000.00. He is paid every two weeks. What is the gross income amount for each paycheck?
Answer:
$2884.62
Step-by-step explanation:
A year has 52 weeks
The number of times Charlie will receive a paycheck will be 52w ÷ 2w = 26 times
Charlie's gross income each paycheck will be 7500÷26 = $2884.62 every two weeks
75000 ÷ (52 ÷2)
7500 ÷ 26
$2884.62
help me on this asap
Answer:
A
Explanation:
Formula for the volume of a cone :Volume (cone) = 1/3πr²h
=========================================================
Given :
⇒ r = 4 units
⇒ h = 21 units
=========================================================
Solving :
⇒ Volume (cone) = 1/3 × π x 4² × 21
⇒ Volume (cone) = 16 × 7 × π
⇒ Volume (cone) = 112π units²
Answer the Venn diagram based question, I will make uh brainliest +50 points.
According to the diagram we have:
Total number of watches = 1000,Imported watches = 600,Imported damaged = 30,Local not damaged = 320.Solutioni) Set of watches which are local and not damaged is the region within the rectangle but outside of circles.
ii) The missing number is the number of the total of damaged watches. We obtain it as follows:
1000 - 600 - 320 = 80, the number of damaged local watches,Add 30 to this - the number of damaged imported watches:
80 + 30 = 110, this is the missing number of total damaged watches.iii) The number of watches with no damage:
Total - damaged = 1000 - 110 = 890or
Imported not damaged + local not damaged = (600 - 30) + 320 = 890iv) If all damaged watches are imported then the second circle moves inside the first one.
The numbers become:
The first circle, imported watches = 600,Inside circle, damaged watches = 110,The total number on the rectangle = 1000,The number outside of circles but inside the rectangle, which is the number of local watches:
Total - imported = 1000 - 600 = 400I NEED YOUR HELP!! I'LL. GIVE YOU BRAINLIEST
Answer: ∠16 and ∠11
Step-by-step explanation:
All of these answer options include ∠16, so we know we're looking for an angle that is corresponding to ∠16. A corresponding angle is an angle that is in the same relative position. We will look at ∠9, ∠11, ∠2, and ∠12 since those are the given answer options, and see which is corresponding.
The correct corresponding angles are ∠16 and ∠11.
I NEED HELP ON THIS ONE PLEASEEEEE HELP MEE!!!!!!!!!!!
6/8 times 1/4 PLS HURRY I ONLY HAVE 1 MINUTEF
Answer:
3/16
Step-by-step explanation:
Answer:
nah me goo
Step-by-step explanation:
At a craft shop, a painter decided to paint a welcome sign to take home. An image of the sign is shown.
A five-sided figure with a flat top labeled 5 and one-half feet. A height labeled 4 feet. The length of the entire image is 9 ft. There is a point coming out of the right side of the image that is created by two line segments.
What is the area of the sign?
19 square feet
22 square feet
29 square feet
36 square feet
Answer 19
Step-by-step explanation:
i tried my best in bath but not sure still 5 and a half+9+4=19 but round it to 19
Can the following quadrilateral be proven to be a parallelogram based on the given information? Explain.
(picture shown below)
A.) No. It cannot be proven because at least two of the adjacent angles are not congruent to each other
B.) Yes. It can be proven because both pairs of opposite sides are congruent.
C.) No. It cannot be proven because it does not have an angle that is supplementary to both of its consecutive angles.
D.) Yes. It can be proven because both pairs of opposite angles are congruent.
Answer:
Step-by-step explanation:
The answer is, no!
Step-by-step explanation:
The reason to that answer is that some other shapes are also, having the same properties as shown. An example for that property would also mean a rectangle and not always a parallelogram.
So, here is the given information on what we need to classify a shape as a parallelogram:-
1) Parallel Sides
2)Opposite Sides are equal.
3) Adjacent sides are not equal.
4) Opposite angles are equal.
5)Adjacent angles are not equal.
Based on this, we can classify a shape as a parallelogram.
Hope, this answer helps!
Is 21 over the square root of 4 a rational or irrational?
The algebraic expression ''21 over the square root of 4'' is a Rational number.
What is square root of a number?
The square root of a number is a value that multiplied by itself gives the same number.
Given that;
The algebraic expression is;
⇒ ''21 over the square root of 4''.
Now,
Since, The algebraic expression is;
⇒ ''21 over the square root of 4''.
It can be written as;
⇒ 21 / √4
⇒ 21 / 2
Since, The number 21 / 2 is of the form p / q where, 2 ≠ 0.
Hence, The number 21 / 2 is a Rational number.
Therefore,
The algebraic expression ''21 over the square root of 4'' is a Rational number.
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3) Suppose you have lunch with five friends and the total check (with tax and tips) is $252. How much should each person pay if you split the check evenly.
Answer:
$50.40
Step-by-step explanation:
you just divide it by 5.
A cyclist rode 40 miles before having a flat tire and than walking 5 miles to a service station. The cycling rate was four times the walking rate. The time spent cycling and walking was 5 hours. Find the rate at which the cyclist was riding.
Answer:
Step-by-step explanation:
Let x represent the walking rate of the cyclist.
If the cycling rate was four times the walking rate, it means that the cycling rate is 4x mph.
Time = distance/speed
Time spent during cycling is
Time = 40/4x = 10/x
Time spent during walking is
5/x
Since the total time spent cycling and walking is 5 hours, it means that
10/x + 5/x = 5
Cross multiplying by x, it becomes
10 + 5 = 5x
5x = 15
x = 15/5
x = 3
The cycling speed is 4x = 4 × 3 = 12 mph
For Howards science experiment he needs 69 blocks that each have a mass of 0.5 kilograms. Is the total mass of the blocks 3.45 kilograms, 34.5 kilograms, or 345 kilograms?
the daily totals of enrollments at sunny side daycare last monday through saturday were 17, 19, 23, 14, 25, and 28
The average number of enrollments per day at the Sunnyside Daycare is 21.
What is an average?An average is a result obtained by summing some numerical values and then dividing the total by the number of values or variables.
An average is the mean, which is one of the central tendency values.
Data and Calculations:Day Number of Enrollments
Monday 17
Tuesday 19
Wednesday 23
Thursday 14
Friday 25
Saturday 28
Total = 126
Average enrollments = 21 (126/6)
Thus, the average number of enrollments per day at the Sunnyside Daycare is 21.
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Question Completion:What was the average number of enrollments per day?
3. Giselle wants to buy the newest book in her favorite series. She has some money saved but does not want to use all her savings on the book. Giselle's grandma offers to pay some of the cost of the book for every weed she pulls in her grandma's garden.
The graph shows the cost to Giselle for the purchase of the book after pulling x weeds in her grandma's garden.
Select True or False to describe each statement.
(2 points for each correct answer =10 points)
The correct statements regarding the linear function are given as follows:
The book is $18.Giselle's grandma pays her $1 for every 5 weeds.Giselle does not have to use any of her money when she pulls 90 weeds.What is the linear function?The slope-intercept definition of the linear function is given as follows:
y = mx + b.
In which:
m is the slope.b is the intercept.From the graph, the function crosses the y-axis at y = 18, meaning that the intercept is of:
b = 18.
(hence the cost of the book is of $18).
When x = 90, y = 0, hence the slope is obtained as follows:
y = mx + 18
0 = 90m + 18
m = -18/90
m = -0.2.
(meaning that she earns $0.2 per weed = $1 per 5 weeds).
The point (90,0) also means that for 90 weeds or more, she does not need to use her own money.
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Which of the following is a biconditional statement?
Question 4 options:
A)
A shape has four sides if and only if it's a quadrilateral.
B)
If a shape has four sides, then it's a quadrilateral.
C)
If a shape is a quadrilateral, then it has four sides.
D)
If a shape doesn't have four sides, then it isn't a quadrilateral.
Answer:A)
A shape has four sides if and only if it's a quadrilateral.
Step-by-step explanation:
If a conditional statement and its converse are both true, then the statement is a biconditional statement. Biconditional statements can be written using the phrase “if and only if.” For example, a polygon is a hexagon if and only if it has six sides.
A man walks along a straight path at a speed of 4 ft/s. A searchlight is located on the ground 20 ft from the path and is kept focused on the man. At what rate is the searchlight rotating when the man is 15 ft from the point on the path closest to the searchlight
Answer:
0.128rad/sec
Step-by-step explanation:
Let x represent the between the man and the point on the path
θ = the angle
dx/dt = 4 ft/s
dθ/dt = rate is the searchlight rotating when the man is 15 ft from the point on the path closest to the searchlight
tan θ = x/20 ft
Cross Multiply
20tan θ = x
dx/dt = 20sec² θ dθ/dt
dθ/dt = 1/20 × cos² θ dx/dt
dθ/dt= 1/20 × cos² θ × 4
dθ/dt = 1/5 × cos² θ
Note : cos θ = 4/5
dθ/dt = 1/5 × (4/5)²
dθ/dt = 16/125
dθ/dt = 0.128rad/sec
CAN SOMEONE HELP ME PLEASE? I’LL GIVE YOU FREE EASY POINTS IF YOU GIVE ME THE RIGHT ANSWER.. NO WRONG ANSWERS PLS!!
see the attachment..........
Lucy spent 2 1/4 hour riding her bike. She then spent 3 3/4 hour playing video games. How much longer did she spend playing video games then riding her bike
Answer: 1 \(\frac{1}{2}\)
Step-by-step explanation: Turn the mixed fraction into improper fraction, which is 9/4 and 15/4. Subtract 15/4 and 9/4 to get 3/2. Convert 3/2 into mixed number to get 1 1/2
hope it helps!!
Let sets A and B be defined as follows.
A is the set of integers greater than -14 and less than -5.
B={h,i,s,x,z}
a) find the cardinalities of A and B
n(A)=
n(B)=
b) select true or false
-12 ∈ A
-21 ∈ A
s ∈ B
m ∉ B
A is the set of integers greater than -14 and less than -5. B={h, i, s, x, z}. The cardinalities of A and B are, n(A) = 8 and n(B) = 5.
-12 ∈ A, s ∈ B, and m ∉ B are True statements. Since, -21 does not belong to A, 21 ∈ A is a False statement.
Cardinalities of A and B
It is given that,
A = {n : -14 < n < -5, n ∈ Z} ............ (1)
B = {h, i, s, x, z} ......... (2)
Thus, from (1),
A = {-13, -12, -11, -10, -9, -8, -7, -6} ........... (3)
Cardinalities of A and B are the number of members in the set A and B, respectively. Therefore,
n(A) = 8
n(B) =5
Reason Behind True or False
As seen from (3), set A contains the element -12. Thus, -12 ∈ A is True.Again from (3), we can see that -12 does not belong to the set A. Thus, -21 ∈ A is FalseFrom (2), s is present in set B. Hence, s ∈ B is TrueSimilarly, m is not present in set B. Therefore, m ∉ B is TrueLearn more about cardinalities here:
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If f(x) = - 3x – 3, g(x)= - 3x² + 5x + 5, and h(x) = 7x² + 5, find f( - 2).
( f(-2) =
(Simplify your answer.)
(ANSWER QUICKLY)
Answer:
f(-2) = 3
Step-by-step explanation:
f(x) = -3x-3
f(-2) = -3(-2)-3
so, f(-2) = 6-3
so, f(-2) = 3