Answer:
4.625 gallons
Step-by-step explanation:
1. 11 pints plus 13 quarts is 18.5 quarts
2. 18.5 quarts is equal to 4.625 gallons
The number of gallons of ice cream he sold was equal to 4.625 gallons.
How to calculate unit price of something?Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.
Thus, unit price of something is price of 1 thing.
Therefore suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.
We need to find the number of gallons of ice cream he sold.
A dealer sold 13 quarts containers and 11 pint containers of ice cream in one day.
1. 11 pints plus 13 quarts is 18.5 quarts.
2. 18.5 quarts is equal to 4.625 gallons.
Hence, The number of gallons of ice cream he sold was equal to 4.625 gallons.
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1 1/2 + 2 1/2 x 3/4 -1/2
Answer:
[tex]\frac{23}{8} [/tex]Step-by-step explanation:
[tex]1 \frac{1}{2} + 2 \frac{1}{2} \times \frac{3}{4} - \frac{1}{2} [/tex]
Convert the mixed number to an improper fraction
[tex] \frac{3}{2} + \frac{5}{2} \times \frac{3}{4} - \frac{1}{2} [/tex]
Multiply the fractions
[tex] \frac{3}{2} + \frac{15}{8} - \frac{1}{2} [/tex]
Calculate the sum
[tex] \frac{3 \times 4 + 15}{8} - \frac{1}{2} [/tex]
[tex] \frac{12 + 15}{8} - \frac{1}{2} [/tex]
Add the numbers
[tex] \frac{27}{8} - \frac{1}{2} [/tex]
Calculate the difference
[tex] \frac{27 - 1 \times 4}{8} [/tex]
[tex] \frac{27 - 4}{8} [/tex]
[tex] \frac{23}{8} [/tex]
Hope this helps...
Best regards!!
Describe methods you can use to show a proportional relationship between two variables ,x and y. Each method, explains how you can find the unit rate and the slope.
Answer: Find answer and explanation in the attached document.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Tables of value: The ratio of Y to X gives the unit rate slope.
Equation: Make a table of VALUES. The ratio of Y to X gives the unit rate and slope.
Graph: The SLOPE of the graph is also the unit rate.
Does this graph represent a function? Why or why not?
10
8
2
-503842
-10
A. No, because it fails the vertical line test.
B. No, because it is not a straight line.
O C. Yes, because it is a curved line.
D. Yes, because it passes the vertical line test.
A
E PREVIOUS
Ask yourself if it is possible to draw a single straight line through more than one point on the red curve. If it is possible, then the graph is said to fail the vertical line test. Otherwise, the graph passes the test.
In terms of algebra, any input x value leads to one and only one y output value. This is what defines a function. If you had x lead to more than one output, then we wouldn't have a function. Of course, the x value must be in the domain.
w over 3< 1 or 3w+5>11
Step-by-step explanation:
[tex]\dfrac{w}{3}<1\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup\cdot\dfrac{w}{3\!\!\!\!\diagup}<3\cdot1\\\\w<3\\===========================\\3w+5>11\qquad\text{subtract 5 from both sides}\\\\3w+5-5>11-5\\\\3w>6\qquad\text{divide both sides by 3}\\\\\dfrac{3w}{3}>\dfrac{6}{3}\\\\w>2\\\\[/tex]
[tex]\text{If is}\ \bold{OR},\ \text{then}:\\\\w<3\ or\ w>2\Rightarrow w\in\mathbb{R}\ /\text{any real number/}\\\\\text{If there is a mistake, and it should be}\ \bold{AND},\ \text{then}:\\\\w<3\ and\ w>2\Rightarrow 2<w<3\to w\in(2;\ 3)[/tex]
Determine the intercepts of the line.
y = -2x – 21
c-intercept:
y-intercept:
Answer:
x-intercept = -6
y-intercept = -21Step-by-step explanation:
x - intercept is for y = 0
y - intercept is for x = 0.
We have y = -2x - 21.
Substitute:
x = 0 → y = -2(0) - 12 = 0 - 12 = -12
y = 0 → 0 = -2x - 12 add 2x to both sides
2x = -12 divide both sides by 2
x = -6
please help with this, 20p
Answer:
about 325
Step-by-step explanation:
On average, the mileage is about 21.7 miles per gallon, so 15 gallons would be good for about 325 miles.
If we look at the table for fills that total 15 gallons, we see the first and last total 330 miles, and the 3rd and 4th total 314 miles. So, we expect somewhere between these values, on average.
A formal average adds the miles driven and divides by the total of gallons used. That result is shown below. While we might estimate that we could drive 325 miles on 15 gallons, we have found that our mileage actually varies.
9) Arthur weighs 54 lbs. more than Lily. Their combined weight is 280 lbs. less than 6 times Lily’s weight. How much does Arthur weigh?
Answer:
137.5 lbs.
Step-by-step explanation:
Arthur = 54 + x
Lily = x
Arthur + Lily = 6x - 280
(54 + x) + x = 6x - 280
54 + x + x = 6x - 280
54 + 2x = 6x - 280
54 = 4x - 280
334 = 4x
83.5 = x
Arthur = 54 + x
Arthur = 54 + 83.5
Arthur = 137.5
What is the measure of angle x?
10
20
30
40
Answer:
20
Step-by-step explanation:
Since 30 and 3x are complementary we can write:
30 + 3x = 90
3x = 60 so x = 20°.
Answer:
20
Step-by-step explanation:
30 + 3x = 90
=> 3x = 90 - 30
=> 3x = 60
=> x = 60/3
=> x = 20
pls mark me as brainleist :)
What is the value of this expression when a = 2 and b = -3?
5
Answer:
5 is the answer..
Step-by-step explanation:
simply by calculating
As part of their fundraising for Right To Play, the student council is having a fun-fair at lunch in the schoolyard. You will be running three events at different locations: a basketball foul-shot contest, a mini-putt course, and a dunk-tank. Your job is to locate the ticket booth so that it will be the same distance from each of the events. Describe the process you would use to determine the position of the ticket booth. Create a GeoGebra design that supports your decision.
Answer: see below
Step-by-step explanation:
I used a coordinate graph and placed the Ticket Booth at the origin (0, 0)
Then I chose a distance of 4 (you can choose any distance) and placed the three events equidistant from the origin by using the x- and y- axis to easily determine a distance of 4 from the origin.
(0 - 4, 0) = (-4, 0)
(0 + 4, 0) = (4, 0)
(0, 0 + 4) = (0, 4)
If the booths are placed first you would need to find the equation of a circle that contains all three points and place the booth at the center.
You do this by creating a system of three equations inputting the x,y coordinates of each booth and solving for h, k, r.
Equation of a circle is: (x - h)² + (y - k)² = r²
i need help Samir needs 450g of butter to make 60 shortbread biscuits.How many will he use to make 12 biscuits?
================================================
Work Shown:
450 g of butter = 60 biscuits
450/60 g of butter = 60/60 biscuits ... divide both sides by 60
7.5 g of butter = 1 biscuit
This means each biscuit needs 7.5 grams of butter
Multiply both sides by 12 to get
7.5 g of butter = 1 biscuit
12*7.5 g of butter = 12*1 biscuit
90 g of butter = 12 biscuits
ANSWER ASAP DO # 8 AND 9
Answer:
8: 1721 m
9: 1173 m
Step-by-step explanation:
8:
[tex]d = v_{i} t + \frac{1}{2}at^{2}[/tex]
because initial velocity is 0:
[tex]d = \frac{1}{2} at^{2} = \frac{1}{2}(3.2m/s^2)(32.8 s)^2 = 1721.344 m[/tex]
9:
[tex]v_f^2 = v_i^2 + 2ad[/tex]
because velocity initial is 0:
[tex]v_f^2 = 2ad[/tex]
[tex]d = \frac{v_f^2}{2a} = \frac{(88m/s)^2}{2(3.3 m/s^2)} = 1173.3333 m[/tex]
Answer:
do it youself
Step-by-step explanation:
An entertainment services provider on the internet has 10000 subscribers paying $15 per month. It can get 1000 more subscribers for each $1 decrease in the monthly fee. Determine the monthly fee that will yield the maximum monthly revenue and the value of that revenue
Answer:
Monthly fee that will yield the maximum monthly revenue is $12.5
Then the value of the maximum monthly revenue is $156 250
Step-by-step explanation:
x - value of decrease
1000x - number of new subscribers for $x decrease
10000+1000x - number of subscribers after $x decrease in the monthly fee
15-1x the monthly fee after $x decrease
f(x) = (10000 + 1000x)(15 - x) ← quadratic function
For quadratic function given in standard form: f(x) =a(x-h)²+k where a<0 the f(x)=k is the maximum value of function, and occurs for x=h
[tex]h=\frac{-b}{2a}\ ,\quad k=f(h)[/tex]
Expressing given function to standard form:
f(x) = 1000(10 + x)(15 - x)
f(x) = 1000(150 - 10x + 15x - x²)
f(x) = 1000(-x² + 5x + 150)
f(x) = -1000x² + 5000x + 150000 {a=-1000<0}
[tex]h=\dfrac{-5000}{2\cdot(-1000)}=\dfrac{5000}{2000}=\dfrac52=2.5\\\\k=f(2.5)=1000(10+2.5)(15-2.5)=1000\cdot12.5\cdot12.5=156\,250[/tex]
15-2.5 = 12.5
Answer:
Monthly fee is $12.5
Value of revenue is $156,250
What the answer now fast
Answer:
t=11.6
Step-by-step explanation:
sin 43=opp/hyp
sin 43=t/17
t= sin43*17
t=11.6
Which equation does the graph below represent?
y = 1/4 + x
y = 1/4x
y = 4 + x
y = 4x
Answer:
y = 4x
Step-by-step explanation:
If you look at the graph, it is crossing the y-axis at the origin of (0, 0). This means that the y-intercept (or the "b" in your equation of y = mx + b) will be zero. Since it is a zero, it would not need to be in the equation.
So, right now we have y = mx + 0, which would simply be just y = mx.
Next, remember that the "m" in this equation represents the slope. To find the slope on a graph, it is calculated by rise over run. If you look at your graph, starting at the origin, the rise is going up 4 units and the run is over by 1. This makes your slope (or your "m" value) the fraction of 4 over 1 (4/1).
This slope can simply be written as 4 because we know that anything over 1 is just equal to the numerator value.
So, this makes the equation for this line in slope intercept form as the following:
y = mx + b
y = (4/1)x + 0
y = 4x
Answer:
[tex]\boxed{y=4x}[/tex]
Step-by-step explanation:
First, lets see where the line crosses the y-axis at, the line crosses the y-axis at (0, 0), the y-intercept is 0.
We can use slope-intercept form of the equation to solve.
y = mx + b
m = slope
b = y-intercept
We know b = 0
y = mx + 0
y = mx
We need to find the slope.
slope = rise/run
Take two points: (0, 0) and (1, 4)
m = (4 - 0)/(1 - 0)
m = 4/1
m = 4
The slope of the line is 4.
y = (4)x
y = 4x
the sum of the first term of an ap is 240 and the sum of the next 4 term is 220 find the first term of the ap
Answer:
The common difference is -5/4
T(n) = T(0) - 5n/4,
where T(0) can be any number. d = -5/4
Assuming T(0) = 0, then first term
T(1) = 0 -5/4 = -5/4
Step-by-step explanation:
T(n) = T(0) + n*d
Let
S1 = T(x) + T(x+1) + T(x+2) + T(x+3) = 4*T(0) + (x + x+1 + x+2 + x+3)d = 240
S2 = T(x+4) + T(x+5) + T(x+6) + T(x+7) = 4*T(0) + (x+5 + x+6 + x+7 + x+8)d = 220
S2 - S1
= 4*T(0) + (x+5 + x+6 + x+7 + x+8)d - (4*T(0) + (x+1 + x+2 + x+3 + x+4)d)
= (5+6+7+8 - 1 -2-3-4)d
= 4(4)d
= 16d
Since S2=220, S1 = 240
220-240 = 16d
d = -20/16 = -5/4
Since T(0) has not been defined, it could be any number.
Can the following question be considered a statistical question, and why? How many hours are people watching movies each week?
Answer:
The answer is no.
Step-by-step explanation:
The questions does no specify how many people are watching the movies each week.
Hoped this helped you out a bit! :)
Point AAA is at {(2,-8)}(2,−8)left parenthesis, 2, comma, minus, 8, right parenthesis and point CCC is at {(-4,7)}(−4,7)left parenthesis, minus, 4, comma, 7, right parenthesis.
Find the coordinates of point BBB on \overline{AC}
AC
start overline, A, C, end overline such that the ratio of ABABA, B to BCBCB, C is 2:12:12, colon, 1.
Answer:
The coordinates of point B are (-2, 2).
Step-by-step explanation:
Given:
Point A (2,−8)
Point C (−4,7)
Point B divides the line AB such that the ratio AB:BC is 2:1.
To find: The coordinates of point B.
Solution:
We can use the segment formula here to find the coordinates of point B which divides line AC in ratio 2:1
[tex]x = \dfrac{mx_{2}+nx_{1}}{m+n}\\y = \dfrac{my_{2}+ny_{1}}{m+n}[/tex]
Where [tex](x,y)[/tex] is the co-ordinate of the point which
divides the line segment joining the points [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] in the ratio [tex]m:n[/tex].
m = 2
n = 1
As per the given values
[tex]x_{1} = 2\\x_{2} = -4\\y_{1} = 8\\y_{2} = 7[/tex]
Putting the values in the formula:
[tex]x = \dfrac{2 \times (-4)+1\times 2}{2+1}=\dfrac{-8+2}{3} =-2\\y = \dfrac{2\times 7+1 \times (-8)}{2+1} = \dfrac{6}{3} =2[/tex]
So, the coordinates of point B are (-2, 2).
Ryan is packing books into a rectangular box. all the books are the same size the book's height is 6, width is 15, length is 20cm the box height is 20 cm, width is 30 cm, length is 36cm how many books can fit inside the box
Answer:
49191
Step-by-step explanation:
kakaj=122£91¥1
+££1£188282
2828282
+82882
182828
818192÷
ans=40
A cuboid is a three-dimensional shape where the volume is given by Length x width x height.
The rectangular box is a cuboid.
The book is also a cuboid
The number of box that can fit inside the box is 12.
What is a cuboid?A cuboid is a three-dimensional shape where the volume is given by Length x width x height.
Example:
The volume of a cuboid with a height of 2 cm, 3cm wide, and 4 cm length is 24 cm³.
We have,
Book:
Height = 6 cm
Wide = 15 cm
Length = 20 cm
Rectangular box:
Height = 20 cm
Wide = 30 cm
Length = 36 cm
Tha area of the box.
Area = 20 x 30 x 36 = 21600 cm³
The area of the book.
Area = 6 x 15 x 20 = 1800 cm³
The number of books that can fit in the box.
= Area of the box / Area of the book
= 21600 / 1800
= 12
Thus,
The number of box that can fit inside the box is 12.
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students enter school in the morning through doors on opposite sides of cafeteria. At Ms. Logrieco's door,35 students enter in the first 10 minutes. At Mr. Riley's door,22 students enter in the first 8 mins. If students continue to arrive at school at the same rate,how many students do you expect to be in the cafeteria after 24 minutes?
Ms. Logrieco's door: 35 students per 10 minutes
Mr. Riley's door: 22 students per 8 minutes
Time Frame: 24 minutes
35 x 2 = 70
35 x 2/5 = 14
70 + 14 = 84
22 x 3 = 66
84 + 66 = 150
Thus, we can expect for 150 students to be in the cafeteria after 24 minutes.
(04.01 LC)
Which of the tables represents a function?
Table A
Input: 4, 5, 4,
Output: 2,9,7,
Table B
Input: 9,9,7,
Output: 2,3,5,
Table C
Input: 4,6,2,
Output: 3,5,7,
Table D
Input: 8,6,8,
Output: 7,5,5,
A) Table A
B) Table B
C) Table C
D) Table D
With tables A, B and D, we have repeated input (x) values.
Table A has x = 4 repeated. So the input x = 4 leads to both outputs y = 2 and y = 7 at the same time. With any function, we must have exactly one and only one output for any given input. So this is why table A is not a function. Tables B and D are not functions for similar reasons.
Table C on the other hand has unique inputs that do not repeat. The input x = 4 only leads to y = 3, x = 6 pairs with y = 5, and x = 2 outputs to y = 7. Therefore we have a function here.
a store offers a discount of 10% to customers who spend more than $20. If a customer's bill was $80, what will he actually pay?
Answer:
72
Step-by-step explanation:
First find the discount
10% of 80
.10 * 80
8
Subtract this amount from the bill
80 -8 = 72
The customer will pay 72
Find the surface area of the pyramid.
Answer:
306 mi^2
Step-by-step explanation:
surface area = area of base + lateral area
surface area = s^2 + 4bh/2
surface area = (10 mi)^2 + 4(10 mi)(10.3 mi)/2
surface area = 306 mi^2
What is the value of y?
3
4
5
6
Answer:
3
Step-by-step explanation:
2y+4=10
10-4=2y
6=2y
2y=6
y=3
Answer:
3 is the value of y because 2*3=6and 6+4=10 that's why valueof y is =3
Find the value of x in the triangle
shown below.
X
85
67
Answer:
28
Step-by-step explanation:
All angle measures must add up to 180. x + 85 + 67 = 180; x = 28
For any triangle, the three angles always add to 180 degrees
85+67+x = 180
x+152 = 180
x = 180-152
x = 28
consider the function y= -2 cos(x- pi). what effect does "-2" have on the basic graph? A) horizontal stretch by the factor 2 then flip over vertical axis b) vertical stretch by factor 2 then flip over horizontal axis c) vertical compression by factor 2 d) horizontal compression by factor 2
Answer:
The correct option is;
b) Vertically stretches by a factor 2 then flip over horizontal axis
Step-by-step explanation:
In the function y = -2×cos(x - pi), given that the maximum value of the cosine function is 1 and that the value of the cosine function ranges from +1 to -1, we have that a factor larger than 1, multiplying a cosine function vertically stretches the function and a negative factor flips the function over the horizontal axis by transforming the y-coordinate value from y to -y
Therefore, the factor of -2, vertically stretches the the function by a factor of 2 then flip over horizontal axis.
What is the value of y in the solution to the system of equations? One-thirdx + One-fourthy = 1 2x – 3y = –30 –8 –3 3 8
Answer:
8 hopefully
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
Instructions: Find the angle measures given the figure is a rhombus.
Note: The figure in the problem is NOT drawn to scale.
Because the figure is a rhombus, its diagonal bisects the intersecting angle AND opposite angles are congruent (this was hard to notice since the figure wasn't drawn to scale)
If you look at the image I attached to my answer, we now have an isosceles triangle with angles [tex]\angle 1[/tex], [tex]\angle 1[/tex], and 32
The property of a triangle is that all angles must add to 180 degrees
[tex]\angle 1+\angle 1+32=180[/tex]
[tex]2\angle1=148[/tex]
[tex]\angle1=74[/tex]
Thus, the measurement of angle 1 is 74 degrees. Let me know if you need any clarifications, thanks!
The base of a regular pyramid is a hexagon.
what is a measure ∠x
Answer:
x = 138
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
x = B+ C
x = 68+ 70
x =138
Answer:
138 degrees
Step-by-step explanation:
A triangle is made up of 180 degrees, it lists 2 values already, 68&70. when added that equals 138.
So 180-138 is 42 degrees, which would be the last angle within the triangle.
Since a line is also 180 degrees, its 180-42, which makes x 138 degrees