The table shows the relationship between the number of cups and total volume of lemonade served.
Cups of Total. Volume Lemonade Served
2 (ounces)
3 16
4 24
32
How many ounces is served per cup of lemonade?
Enter the answer in the box.
ounces per cup=
Answer: 8
Step-by-step explanation:
2 cups = 16
Half of the 16 is 8
What is the equation in point-slope form for the line parallel to y=-8x - 5 that contains j(-2, 9)
Answer:
y - 9 = -8(x + 2)
Step-by-step explanation:
What is the equation in point-slope form for the line parallel to y=-8x - 5 that contains j(-2, 9)
Step 1
y intercept =
y = mx + b
y=-8x - 5
m = -8, b = -5
Point slope form
y - y1 =m( x - x1)
We are given coordinates:
j(-2, 9) = (x1, y1) where ,
x1 = -2
y1 = 9
Hence, our point slope form equation is:
y - 9 = -8(x -(-2))
y - 9 = -8(x + 2)
4. Justin is training for his black belt in Tae Kwon Do, and needs to be able to
complete 100 pushups on his test. He has set up a practice schedule to
build up his strength. When he begins he is able to complete 30 pushups, but
intends to train daily and increase his pushups by 3 each week. How many
full weeks will Justin need to train in order to be ready for his black belt test?
(Only an algebraic solution will receive full credit)
Answer:
24 full weeks needed
Step-by-step explanation:
30 + 3x = 100
3x = 70
x = 23.333
24 weeks needed
(X+2) (x+8)
expand and simplify
Answer:
X+2=2x
x+8=8x
(2x).(8x)=16x
Please answer correctly I’ll mark you brainlist!
Answer: 5 cm
Step-by-step explanation:
since the last step in finding area of a triangle is divide by 2, multiply the area by 2 to get the original number
30 x 2 = 60
area/base = height
60/12 = 5
A cyclist cycles a distance of 60 miles in a time of 6 hours.
What is her average speed?
Answer: 10 mph
Step-by-step explanation:
Please help ASAP!!!! Will give brainliest!!!
Answer: 0
Step-by-step explanation: it said round to the nearest hundredth when you just need 0.21 so 0.21 rounded to the nearest hundredth is going to be 0.
please help me I’ll give brainliest if correct
Answer:
I would say the first one
Step-by-step explanation:
The others don't make any sense, and that is the only one that mentions 2 x and 5 1s.
Answer:
number 4
Step-by-step explanation:
count onn me
The point Z(3, 6) is reflected over the line y = x. What are the coordinates of the resulting point, Z′? HELP ASAP!!
Answer:
Z' = (6, 3 )
Step-by-step explanation:
Under a reflection in the line y = x
a point (x, y ) → (y, x ) , then
Z (3, 6 ) → Z' (6, 3 )
PLEASE HELP THIS IS OVERDUE!!
Answer:
It is y=2x+4.
Step-by-step explanation:
Alright, so with this question, the slope and y-intercept is needed. First, lets get the y-intercept.
The y-intercept value would be 4 as this is the y value for where the line crosses over this intercept, being the coordinate (0,4).
Next, with the slope, look at where the line crosses over when the x value is 1, the y value is 6, (1, 6).
From this, we can find the slope. What is the climb/fall in the line after moving forward an x value forward? It is going up 2 y values, from 4 to 6. Therefore, the slope is 2.
With this, we can plug in the parts we need to get the final answer:
y = (2 Slope) x + (4 Y-Intercept)
y=2x+4
Answer:
[tex]y=2x+4[/tex]
Step-by-step explanation:
Written in the form [tex]y=mx+c[/tex]
The constant c is where the line intercepts the y-axis.
From the graph we can determine that c is equal to 4.
m is the slope of the line. To find it we can do [tex]\frac{dy}{dx}[/tex] where dy is the difference in y-coordinates between two points and dx is the difference between the x-coordinates.
From the graph we can pick out 2 points that lie on the line:
Point 1 (0,4)
Point 2 (1,6)
So the slope is [tex]\frac{4-6}{0-1} =\frac{-2}{-1}=2[/tex]
Now let's rewrite it in the form [tex]y=mx+c[/tex].
[tex]y=2x+4[/tex]
Which functions have a vertex with a x-value of 0? Select three options
I still don’t understand this very well I don’t know how to set up the equation. Pls help?
It’s trigonometry
Answer:
[tex] \displaystyle x \approx 47.44[/tex]
Step-by-step explanation:
we are given a right angle triangle
we want to figure out x i.e hypotenuse
in order to do so we can consider trigonometry i.e sin
remember that,
[tex] \displaystyle \sin( \theta) = \frac{opp}{hypo} [/tex]
given that,theta=21° and opp=17 and hypo=x
Thus substitute:
[tex] \displaystyle \sin( {21}^{ \circ} ) = \frac{17}{x} [/tex]
cross multiplication:
[tex] \displaystyle x\sin( {21}^{ \circ} ) = {17}[/tex]
divide both sides by sin21°:
[tex] \displaystyle x \frac{\sin( {21}^{ \circ} ) }{ \sin( {21}^{ \circ}) }= \frac{17}{ \sin( {21}^{ \circ} ) }[/tex]
By using calculator we acquire:
[tex] \displaystyle x \approx 47.44[/tex]
Write the number in 2 equivalent forms as a fraction, decimal, or percent.
21%
What is the equivalent decimal?
Answer:
0.21
Step-by-step explanation:
Move the decimal two places to the left.
A regular bar is 5 ounces and costs $1.25 A gigantic bar is 2 pounds and costs $6.98.
What is the price per ounce for the regular bar?
What is the price per pound of the gigantic bar?
Answer:
An experiment is done to see the health effect of large amounts of aspirin on rats. ... 2. Apples sell for 43 cents a pound. How much do 3.2 pounds of apples cost? ... A solid gold nugget is 23.5 ounces. How much is it worth? 23.5 oz x. $500 lez ... 5. A chocolate bar weighs 4.00 ounces.
Step-by-step explanation:
During the past school year, there were 640 students and 52 teachers. What is the ratio of students to each teacher rounded to the nearest tenth?
a.
12.3:1
c.
160:13
b.
1:12.3
d.
13:160
Please select the best answer from the choices provided
A
B
C
D
Answer:
The ratio of student to teacher is 12.3 to 1
6x + 3 + 4x = (9 + 10x)?x
Answer:
It has no solution.
Step-by-step explanation:
6x + 3 + 4x = 9 + 10x
10x + 3 = 9 + 10x
10x + 3 - 3 = 9 - 3 + 10x
10x = 6 + 10x
10x - 10x = 6 + 10x - 10x
0 ≠ 6
It has no solution.
PLEASE HURRY!!! Lori used 4 containers of blueberries to make blueberry muffins, each container holds 2/3 cup, she also used 1 2/4 cups of sugar to make the blueberry muffins and 1 1/4 cups of sugar to make banana bread
She used a total of ___ cups of blueberries and ____ cups of sugar
*1 3/4
*2 1/3
*2 2/3
*2 3/4
*4 2/3
Answer:
2 2/3
Step-by-step explanation:
4 × 2/3
4/1 × 2/3
8/3
2 2/3
The answer is 2 2/3.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
4 containers of blueberries to make blueberry muffins, each container holds 2/3 cup,
she also used 1 2/4 cups of sugar to make the blueberry muffins and 1 1/4 cups of sugar to make banana bread
now, we get,
4 × 2/3
=4/1 × 2/3
=8/3
=2 2/3
hence, The answer is 2 2/3.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ2
Compare the two box plots below. Which of the following statements is not true
Answer:
C.
Step-by-step explanation:
If a cylinder has a radius of 10 cm and a surface area of 1800 cm2, what is its height?
ALSO
Why do you need to know the height of a cylinder to figure out its surface area?
Answer:
18.65 cm
Step-by-step explanation:
the surface area of a cylinder is the combination of the two circles (1 at the top, 1 at the bottom) and the area of the side wall or "mantle".
so, two equally sized circle areas and the side area.
this side area is nothing else than a rectangle that is bent around and connected to the circumference of both circles. therefore, the side lengths of this rectangle must be the cylinder height and the length of the circumference of the circles.
that is also why we need the cylinder height to get its surface area (and also volume by the way).
circle area : pi × r²
rectangle area : length × width
cylinder surface area = 2 circle areas + side rectangle area
=> 1800 = 2 × (pi×r²) + (2×pi×r)×h = 2×pi×100 + 2×pi×10×h
=> 1800 = 200×pi + 20×pi×h
=> (1800 - 200×pi) = 20×pi×h
=> (1800 - 200×pi) / (20×pi) = h = 18.65 cm
Which of the following are possible rational roots of the polynomial function? Check all that apply. F(x) = 5 x2-3x+3
A. ±3
B. ±1
C. ±1/3
D. ±5
E. ±1/5
The possible rational roots are (a) ±3, (b) ±1, (e) ±5
How to determine the possible roots?The polynomial function is given as:
f(x) = 5x^2 - 3x + 3
Take the factors of the first term and the last term
5 = 1, 5
3 = 1, 3
The rational root is then calculated using:
Roots =±(Factors of 3)/(Factors of 5)
This gives
Roots =±(1, 3)/(1, 5)
Solve the expression
Roots = ±1, ±3/5, ±1/5, ±3
Hence, the possible rational roots are (a) ±3, (b) ±1, (e) ±5
Read more about rational roots at:
https://brainly.com/question/17754398
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The quadrilateral shown is a rectangle. What is measure zvw
Answer:
sorry, but I think u got yr question incomplete.
stay safe healthy and happy.u can re post it with figure
i need help with geometry
9514 1404 393
Answer:
C. 26
Step-by-step explanation:
The two marked angles are "vertical angles." They are congruent.
x +20 = 3x +8 . . . . . congruent angles have the same measure
12 = 2x . . . . . . . . . subtract x+8 from both sides
6 = x . . . . . . . . . divide by 2
∠PTQ = (x+20)° = (6+20)° = 26°
Answer:
Solutions given:
we have
<RTS=PTQ[vertically opposite angle are equal]
so
3x+8=x+20°
3x-x=20-8
2x=12
x=12/2=6
x=6
m<PTQ=6+20=26°
option c.26.
Carlos needs to paint the outside of the shed in his backyard, including its roof but not including its floor.
A rectangular prism with a length of 8 feet, width of 5 feet, and height of 6 feet.
What is the total area of the surfaces that he needs to paint?
214 feet squared
230 feet squared
300 feet squared
350 feet squared
What is the vertex of the graph of
y = x + 12 -10?
Answer:
y=x+12-10
Step-by-step explanation:
0=x+12-10
-x=2
x=-2
I need help with 13 ABCD
Answer:
a. n (table) : 1 2 3 4 5 6
s (students):4 6 8 10 12 14
b. Arithmetric, since it is adding and corresponding with the numbers
d. 32
not sure about c though. hope this helped.
Please help with this (01.02 MC) Simplify negative 6 and 1 over 4 - negative 2 and 1 over 8 . (5 points) Group of answer choices 4 and 1 over 8 negative 8 and 3 over 8 negative 4 and 1 over 8 8 and 3 over 8
Given:
The expression is:
[tex]-6\dfrac{1}{4}-2\dfrac{1}{8}[/tex]
To find:
The simplified form of the given expression.
Solution:
We have,
[tex]-6\dfrac{1}{4}-2\dfrac{1}{8}[/tex]
Write the mixed fractions in the form of improper fractions.
[tex]=-\dfrac{6(4)+1}{4}-\dfrac{2(8)+1}{8}[/tex]
[tex]=-\dfrac{24+1}{4}-\dfrac{16+1}{8}[/tex]
[tex]=-\dfrac{25}{4}-\dfrac{17}{8}[/tex]
Taking LCM, we get
[tex]=\dfrac{2(-25)-17}{8}[/tex]
[tex]=\dfrac{-50-17}{8}[/tex]
[tex]=\dfrac{-67}{8}[/tex]
Now write this improper fraction in the form of mixed fraction.
[tex]=-\dfrac{64+3}{8}[/tex]
[tex]=-\left(\dfrac{64}{8}+\dfrac{3}{8}\right)[/tex]
[tex]=-\left(8+\dfrac{3}{8}\right)[/tex]
[tex]=-8\dfrac{3}{8}[/tex]
Therefore, the correct option is B.
please answer make your answer clear please
My teacher took off points because I puter meters per second and not meters/second. Are these not the same thing?
Answer:
No
Step-by-step explanation:
Meters per second is how many meters in one second
meters/second is meters divided by one second
Hope this helps you understand better!
It is the same but the teacher may be trying to get you to put it that way for future math problems.
Seth bought a 15 ounce jar of peanut butter for $3.15. what is the unit price?
anyone know how to do this?
40÷95= 0.42
so I would say about 42.1%
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