Jackson was selling cups of lemonade. On Saturday, he sold a total of 14 cups. On Sunday he sold cups at a steady rate of 3 cups per hour. Set up and solve an equation to find how many hours, h, it took Jackson to sell 47 cups (including those from Saturday).
Answer:
(47-14) h ÷ 3 =11
Step-by-step explanation:
47-14=33
33 divided by 3 is 11
Jackson takes 11 hours to sell 47 cups.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let's say the number of hours that Jackson sold his cups on Sunday.
Now,
Saturday cups + Sunday cups = Total cups.
14 + 3x = 47
3x = 33
x = 11
Hence "Jackson takes 11 hours to sell 47 cups".
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You had $21 to spend on two notebooks. After buying them you had $17. How much did each notebook cost?
2$ each notebook
First you find how much you spent. You spent 4$ then divide it in half. That is how you get the answer.
Which of the quadratic functions listed is written in standard form?
O A. Y= 2x² + 3x - 5
O B. Y-4 = - 3(x - 5)
OC. Y - 7 = -2(x + 3)?
O D. Y= (x+1)(x – 5)
Answer: A
Step-by-step explanation:
f(x)=ax²+bx+c is the standard form for quadratic functions. Looking at the answer choices, we can eliminate B, C, D. They are not the same as the given standard form. B and C are point-slope formulas, which are not standard form. D is in intercept form, therefore it is not standard form. This leaves us with A as the correct answer.
A field in the shape of a square has an area of 8,100 square feet. How can you determine the length of one side of the field?
To determine the length of one side use the formula for the area of square. As a square is equal on all four sides, finding one length results in any of the four. Solve using the formula and you receive your answer of 90.
A = s²
8100 ft² = s² (set up formula)
√8100 ft² = s² ( get s alone by squaring both sides)
90 ft = s (answer)
We can conclude that the side of the given square with an area of 8100ft² is 90ft.
What is a square?A square is a regular quadrilateral in Euclidean geometry, which means that it has four equal sides and four equal angles. It can alternatively be explained as a rectangle with two neighboring sides that are of equal length. A square is a two-dimensional plane object in geometry that has four equal sides and four equal but 90-degree angles.So, the area of the square is 8100ft².
Formula: s²So, we know that: 8100 = s²Now, calculate for s as follows:
s² = 8100s = √8100s = 90ftTherefore, we can conclude that the side of the given square with an area of 8100ft² is 90ft.
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Given: h(x)=-4x and g(x) = 3x +1
Find:
(nog)
Answer:
Step-by-step explanation:
h(g(x))
g(x)= 3x + 1
h(3x + 1) = 4(3x + 1) = 12x + 4
find the value of x and y respectively A. 20, 120 B. 40, 120 C. 30, 140 D. 30,160
Answer:
Option A:
x=20 and y=120
Answer:
A. 20, 120
Step-by-step explanation:
[tex](4x - 20) \degree = 3x \degree..(vertical \: \angle 's) \\ 4x - 20 = 3x \\ 4x - 3x = 20 \\ \huge \orange { \boxed{x = 20}} \\ \\ 3x \degree + y \degree = 180\degree .. (straight \: line\:\angle 's) \\ 3 \times 20 \degree +y \degree = 180 \degree \\ 60 \degree + y \degree = 180 \degree \\y \degree = 180 \degree - 60 \degree \\y \degree = 120 \degree \\ \huge \red { \boxed{y = 120}}[/tex]
Question Help
A fisherman can row upstream at 1 mph and downstream at 4 mph. He started rowing upstream until he got tired and then rowed downstream to
How far did the fisherman row if the entire trip took 2 hours?
starting point
The distance the fisherman rowed is ___mi.
Answer: the answer is 3.2 miles
Step-by-step explanation:
The distance the fisherman rowed is 3.2 miles if the fisherman can row upstream at 1 mph and downstream at 4 mph.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
A fisherman can row upstream at 1 mph and downstream at 4 mph.
He started rowing upstream until he got tired and then rowed downstream to his starting point.
Let the time of row upstream is x hours
Let the time of row downstream be y hours
From the question:
x + y = 2
x = 2 - y
x = 4y
Solving the above two linear equations by substitution method:
2 - y = 4y
5y = 2
y = 2/5
y = 0.4 hours
Distance = speed×time
Distance = 4×0.4 = 1.6 miles
= 1.6×2 = 3.2 miles
Thus, the distance the fisherman rowed is 3.2 miles if the fisherman can row upstream at 1 mph and downstream at 4 mph.
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15 points and brainlist! Math
Answer:
distribute the 3
Step-by-step explanation:
follow pemdas ill put a brainpop link below
its the answer highlighted in yellow
Answer:
the 4th option is the right answer
subtract the constants
hope this helped you
please mark as the brainliest (ㆁωㆁ)
A recipe for orange water says, “Mix 3 teaspoons yellow water with 1 teaspoon red water.” For this recipe, we might say: “The ratio of teaspoons of yellow water to teaspoons of red water is 3:1.”
Answer:6:2
Step-by-step explanation:
Answer:
how many batches you need to know? If 2 batches the answer is 6:2 and if 4 batches it is 12:4
please help ! Easy 7th grade math ! It’s talking about integers!
Answer:
10. 12
Step-by-step explanation:
Number 10 is 12 but I don't understand number 11.
I hope this helps.
NEED HELP ASAP NO ROCKY !!!!!
Write the coordinates of the vertices after a translation 4 units left and 7 units down.
10+
1
А
B
Searts
-10
10
С
10
-10
A(-6,0) - AOC
BCO,O) - BO
C(-5, -1) - CC
Practice with our 100
Step-by-step explanation:
scan it u could have the answer in a flash
Is -2.7 an irrational number
Evaluate for x=-7 and y=-3 11x - 4y
Answer:
Is -65
Step-by-step explanation:
Used a calculator
Step-by-step explanation:
x=-7 so 11x becomes 11 x-7
11 x -7=-77
y=-3 so -4y becomes -4 x -3
-4 x -3=-12
-77-12=-89
I hope it helps!
solve this below. 4(3y+7)=40
1. 4 more than the difference of 8 and a number
Answer:
(8-n) + 4
4+ (8-n)
Step-by-step explanation:
I added 4 because it says "4 more" and I subtracted 8 and a variable because it says the "difference". I used a variable because the number is not specifically defined. I hope this helps!
Use long division to write the fraction -6/8 as a decimal.
[tex] \frac{ - 6}{8} = - \frac{3}{4} = - 0.75[/tex]
What is the Range?
х. y.
1. 3
1. 4
3. 5
5. 6
Which number line represents all of the values of x for the equation x? = 647
-032-16
7
32
-10
-32-
32
12-16
32
40
-4032-N-16
-
16
3240
Answer:
the 2nd answer.
Step-by-step explanation:
8*8 = 64.
-8 * -8 = 64
True or False? (-x)^6 = -x^5 Explain your
answer (use either words or an example).
Answer:
False
Step-by-step explanation:
[tex](-x)^{6}[/tex] = [tex]x^{6}[/tex]
- [tex]x^{5}[/tex] = - [tex]x^{5}[/tex]
Thus
[tex](-x)^{6}[/tex] ≠ - [tex]x^{5}[/tex]
which represents the slope of a line that is parallel to a line with a slope of -2
Answer:
One with a slope of -2 and different y-intercept
e.g. y = -2x + 3
I need help with B.
Answer:
6x= 42
x= 7
Step-by-step explanation:
a) Area= length ×width
2100= 50 ×width
width= 2100 ÷50
width= 42 ft
Thus, the field is 42ft wide.
b) width of field
= x +3x +2x
= 6x
Since we know that the field is 42ft wide from (a),
Equation: 6x= 42
x= 42 ÷6
x= 7
2.3 to 1 significant figure
☽------------❀-------------☾
Hi there!
~
2.3 to 1 significant figure.
= 2
❀Hope this helped you!❀
☽------------❀-------------☾
Answer:
2
Step-by-step explanation:
Locate the ones place:
2.3
Check the next number:
2.3
Since the number is less than or equal to 4, we round down.
2.3 ≈ 2
Hope this helps.
Round 45.396 to the nearest tenth
Answer:
Step-by-step explanation:
45.396
tenth place is 3
on the right of 3 is 9. 9 is higher than 5. Therefore 3 becomes a 4.
the answer is 45.4
. 10(7x - 2) + 3(-7X - 8)
Answer:
49x-44 is it.
Step-by-step explanation:
True or False, the chance of flipping heads on a coin 3 times in a row is 1/2
true flip a coin it's fifty fifty
Answer:
False
Step-by-step explanation:
Each toss is an independent event, so the probability of three tosses of heads in a row is the product of the three probabilities..
Each probability of heads is
p(heads) = 1/2
p(heads, heads, heads) = p(heads) * p(heads) * p(heads) = 1/2 * 1/2 * 1/2 = 1/8
Answer: False
what is an expression is equivalent to 16.8 - 18.6
Answer:
- 1.8
Step-by-step explanation:
Step 1:
16.8 - 18.6
Answer:
- 1.8
Hope This Helps :)
Answer:
so is it negitive
Step-by-step explanation:
What is 47.2% as a fraction? (can someone show the work)
Answer: 59/125
Step-by-step explanation:
What is 47.2% as a fraction or mixed number in simplest form? 47.2% is 47.2/100 which is 472/1000 which is 59/125. 47.2% = 0.472 = 472/1000 = 59/125.
Marcus and Emma went to the store together. Marcus had $2.00 and Emma had $4.50. Together they spent $6.00. What expression could be used to find the combined amount Marcus and Emma have left?
Answer:
$6.00-($2.00+$4.50)
in other terms, 6 - (2 + 4.5)
Step-by-step explanation:
So first, we know that they spent 6 in total. To figure out how much they spent, we need to figure out how much they had all together.
To get how much all together, we have to add. 2 + 4.5
Now that we now how to get the total amount, out them in parentheses and add the 6 infront.
Since we need to find the remaining amount, were subtracting 6 from the total, hence the parentheses.
All this leads to the expression: 6 - (2 + 4.5)
Hope this helps :)
work it out "the equation 1.5r + 15=2.25r represents the number r of movies u must rent to spend the same amount at each movie store. how many movies must u rent to spend the same amount at each movie store" then there's 2 pics one says "all rentals $1.50, membership fee $15" other says "membership free, all rentals $2.25"
Answer:
20
Step-by-step explanation:
Your equation is correct. To solve it subtract 1.5r from both sides and divide by the resulting coefficient of r.
15 = 0.75r
15/0.75 = r = 20
You must rent 20 movies for the costs to be the same.
I NEED HELP ASAP PLEASEEEE
Evaluate the expression for f = 4.
Write your answer as a decimal or whole number.
5f=
-----
4
Answer:
5
Step-by-step explanation:
Plug in the value of f into the equation:
5(4) /4
Cancel out 4
=5
Answer:
5
Step-by-step explanation:
5(4)/4
20/4
5