Answer:
75 Sweets
Step-by-step explanation:
To get the answer you have to divide the number of sweets by the number of children. If there are 675 grams and 9 children, then you divide 675/9 to get your answer of 75 sweets.
Each child was given 75 grams of sweets as per linear equation when distributed.
What is a linear equation?A linear equation is an equation where the highest degree of the variable is one.
Given, there are a total of 675 grams of sweets.
There are a total of 9 children among which the sweets is to be distributed equally.
Therefore, each children will get sweets of
(675 ÷ 9) grams
= 75 grams.
Therefore, each child will get 75 grams of sweets when it is distributed equally.
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What is the sum of 6 and y
Answer:
6+y
Step-by-step explanation:
6+y is the ans as the question has asked to sum of them but it has not given any other clues
Answer:
i got 6y
Step-by-step explanation:
simplify the expression -9x-8+4x+7
Answer: 5x - (-1)
Step-by-step explanation:
Answer:
-5x-1
Step-by-step explanation:
First combine like terms
-9x-8+4x+7 combine -9 and 4
-5x-8+7 then combine -8 and 7
-5x-1
The height reached by a model rocket can be calculated using the equation h= -16t2 + vt +
where t is the time the rocket is in flight, vis the rocket's velocity, and n is the rocket's beginning
height.
Calculate the height, h at 3 seconds given that the rocket travels 85 feet per second and starts on a
launch pad 15 feet off the ground.
Knowns:
t = 3 seconds
v = 85 feet per second
n = 15 feet
If we plug all those values in, our Formula becomes h= (–16.32) + (85.3) + (15).
Solve for h
Answer:
Step-by-step explanation:
9.0
The height (h) reached by model rocket will be equal to 126 ft.
It is given that the height reached by a model rocket can be calculated using the equation h = - 16 [tex]t^{2}[/tex] + ( v × t ) + n
We have to calculate the height (h) at 3 seconds.
What is algebra ?
Algebra is the branch of mathematics that deals with various symbols and the arithmetic operations such as multiplication , division , etc.
As per the question ;
h = - 16 [tex]t^{2}[/tex] + ( v × t ) + n ---------- Equation 1
∵ t = time rocket is in flight = 3 seconds
v = velocity at which rocket travels = 85 ft. per second
n = height of rocket at beginning = 15 ft
Putting these values in equation 1 , we get.
h = - 16 × ( 3² ) + (85) × (3) + 15
h = - 16 × 9 + 255 + 15
h = -144 + 270
h = 126 ft.
Thus , the height (h) reached by model rocket will be equal to 126 ft.
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Evaluate the expression when c= 3.
c²+6c-3
Answer:
21
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
c² + 6c - 3
c = 3
Step 2: Evaluate
Substitute: 3² + 6(3) - 3Exponents: 9 + 6(3) - 3Multiply: 9 + 18 - 3Add: 24 - 3Subtract: 21Solve for x: 9(x + 4) = 1 + 2x *
Answer:
x = -5
Step-by-step explanation:
9(x+4)=1+2x
9x+36 = 1 + 2x
35 = -7x
Divide
-5 = x
x= -5
[tex] \: \: \: \: \: \: \: 9(x + 4) = 1 + 2x \\ \\ = > 9x + 36 = 1 + 2x \\ \\ = > 9x - 2x = 1 - 36 \\ \\ = > 7x = ( - 35) \\ \\ = > x = (- \frac{35}{7} ) \\ \\ = > x = \green{\boxed{ - 5}}[/tex]
If 20 apples cost $7, what is the unit cost?
Answer:
35 cents per apple
Step-by-step explanation:
its 7 / 20 and you get 0.35
The equation of the line in the graph is y= (blank) x+ (blank)
I need help!!!!
Write an equation of the line that passes through the points.
(0, −2), (4, −2)
First you need to find the slope: (y2 - y1)/(x2 -x1) = (-4 -(-4))/(0-2) = 0. So the line is horizontal, which means the y coordinate is constant and equal to -4, so the equation of the line is y = -4.
So...I'm stuck on this. HELP
Answers:
Yes the data can be modeled with a linear equation.
Processing fee = 42 dollars; Daily fee = 102 dollars
Max number of days you can rent house = 11 days
========================================================
Explanation:
Part 1
Let
x = number of days
y = total cost in dollars
Note how each time x goes up by 2, y goes up by 204 (since 450-246 = 204). This consistent pattern directly tells us we have a linear equation going on. The next section goes into more detail.
--------------------
Part 2
The daily fee is directly tied to the pattern mentioned earlier. We have the cost going up by $204 each time 2 days go by. So the daily fee is 204/2 = 102 dollars per day.
You could also use the slope formula with say the first two columns of the table
m = (y2-y1)/(x2-x1)
m = (450-246)/(4-2)
m = 204/2
m = 102
This confirms the daily fee is $102.
You can use any two columns of the table that you want to get the slope. It doesn't have to be the first two columns.
Now use (x,y) = (2,246) along with m = 102 to find the y intercept. Like before you can use any column you want to form the (x,y) value.
y = mx+b
246 = 102*2+b
246 = 204+b
246-204 = b
42 = b
b = 42
The equation is y = 102x+42. The initial processing fee is $42. If you stayed at the house for x = 0 days, you still have to pay the fee y = 42.
--------------------
Part 3.
Plug in y = 1200 and solve for x
y = 102x+42
1200 = 102x+42
1200-42 = 102x
1158 = 102x
102x = 1158
x = 1158/102
x = 11.3529411764706
x = 11
We round down to the nearest whole number. This way we clear the hurdle.
Note that if x = 11, then,
y = 102x+42
y = 102*11+42
y = 1164
which is under the $1200 budget
In contrast, plugging in x = 12 leads to
y = 102x+42
y = 102*12+42
y = 1266
which is over the 1200 dollar budget. This shows that x = 11 is the max number of days you can rent the house.
A room is an exclusive Dubai hotel costs $× pe4 night. The price then changes to $4370 per night after a decrease of 5% and a increase of 15%. Find ×
Answer:
The value of x is $4000.
Step-by-step explanation:
Let's call x to the original price per night of a room in the Dubai hotel.
The price first decreased by 5%. Calculate 5% of x:
5 * x / 100 = 0.05x
Now subtract it from the original price:
x - 0.05x = 0.95x
This new price is then increases 15%. Calculate 15% of 0.95x:
15 * 0.95x / 100 = 0.1425x
Add it to the previous price:
0.95x + 0.1425x = 1.0925x
This price is equal to $4370, thus:
1.0925x = 4370
x = 4370 / 1.0925
x = 4000
The value of x is $4000.
1. A line with a slope of 2 passes through (3,-2). Write the equation in Point-Slope Form.
2. A line with a slope of 2 passes through (3,-2). Write the equation in Slope-Intercept Form.
The area of a square is 1,521 cm2. Find the length of a side of the square by
prime factorisation method.
9514 1404 393
Answer:
39 cm
Step-by-step explanation:
1521 = 3·3·13·13 = (3·13)² = 39²
The length of the side of the square is 39 cm.
Can someone help me please
1) In a survey, Eric, the team manager, asked all 120 soccer players in the league which drink they preferred during
and after the game.
Drink During Game After Game
Sports Beverage 70
10
Juice
10
80
Water
40
30
Directions: For each statement below, tell if it accurately represents the information from the survey AND
explain how you made each decision. (SHOW YOUR THINKING)
a. During the game, players prefer juice to water by a ratio of 4 to 1.
b. 25% of the players prefer water after the game.
c. More than half of the players prefer a sports drink during the game.
Does this table represent a direct variation?
Answer:
yes, correct me if im wrong
Step-by-step explanation:
No it is not a direct variation or A
f(0) = 3 and f(1) = 15.
Answer:
Step-by-step explanat
Given=F(0) = 3 and f(1) = 15.
So f(X)=12x+3
When X=0, f(0)=12x0+3=3
When X=1, f(1) = 12x1+3= 15
So f(X)=12x+3 is the solution o
Can you help with this problem
Answer:
The value of w is 3.
Step-by-step explanation:
Parallelograms have equal opposite side measures.
so,
6w = w +15
6w - w = 15
5w = 15
w = 3
Answer:
w=3
Step-by-step explanation:
The opposite arms of parallelogram are equal
So the equation is
6w=w+15
=>6w-w=15
=>5w=15
=>w=15/5
Therefore
w=3
If you find my answer helpful.then please mark me as brainliest
Compare the numbers
Answer:The answer is ≥ greater than or equal to
can you mark me Brainliest please
The coin jar was filled with pennies and nickels in the ratio of 7 to 2. If there were 28 nickels in the jar, how many coins were there?
What is the measure of ZSTR?
O 24°
O 38°
48°
O 76°
Answer:
24 degrees
Step-by-step explanation:
24 is 1/2 of 48
Graph the equation.
y-1 = -2(x-2)
Answer:
y-1 = -2(x-2) graph:
Answer:
Graph is below
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope:
−
2
y-intercept:
(
0
,
5
)
x
y
0
5
5
2
0
Natalie wants to start a business, she is going to make bracelets. She spends $40 for a braiding device and materials to start her business. Each times she makes a bracelet it costs her $8 in materials and packaging. Natalie sells her bracelets for $8 each.
y=9+9 because when you take that factor off you add 8 + 1
Guys plz help Answer this QUESTION!!!
Answer:
I beliEve it is D
Step-by-step explanation:
Can someone please help me sort them out into True, Not True and Cannot Be Determined
Answer:
the first, second, and fifth
Step-by-step explanation:
hope this helps :-)
Which of the following best explains the value of Sine StartFraction pi Over 3 EndFraction on the unit circle below?
A unit circle is shown. A radius with length 1 has an angle measure of StartFraction pi Over 3 EndFraction
sine StartFraction pi Over 3 EndFraction = StartFraction opposite Over hypotenuse EndFractionEquals StartFraction opposite Over 1 EndFraction Equals opposite
The length opposite the angle is the vertical distance from the x-axis on the graph.
sine StartFraction pi Over 3 EndFraction = StartFraction adjacent Over hypotenuse EndFraction = StartFraction adjacent Over 1 EndFraction Equals adjacent
The length adjacent to the angle is the vertical distance from the x-axis on the graph.
Sine StartFraction pi Over 3 EndFraction = StartFraction opposite Over hypotenuse EndFraction = StartFraction opposite Over 1 EndFraction Equals opposite
The length opposite the angle is the horizontal distance from the y-axis on the graph.
Sine StartFraction pi Over 3 EndFraction = StartFraction adjacent Over hypotenuse EndFraction = StartFraction adjacent Over 1 EndFraction Equals adjacent
The length adjacent to the angle is the horizontal distance from the y-axis on the graph.
Answer:
a. sine StartFraction pi Over 3 EndFraction = StartFraction opposite Over hypotenuse EndFractionEquals StartFraction opposite Over 1 EndFraction Equals opposite
The length opposite the angle is the vertical distance from the x-axis on the graph.
Step-by-step explanation:
sin (π/3) = opposite/hypotenuse = opposite/1; The length opposite the angle is the vertical distance from the x-axis on the graph.
What is the trigonometric ratio of unit circle?
Unit circle is a circle centered at the origin, (0,0) with radius(r) i.,e r= 1.
The angle π/3 forms an arc of length S and the x-axis and y-axis divide the coordinate plane and the unit circle as it is centered at (0.0).
Also, the terminal side intersect the circle at (x, y). Thus;
sin (π/3) = opposite/hypotenuse = opposite/1
Thus;
sin (π/3) = opposite
Also, the length opposite the angle is the vertical distance from the x-axis on the graph.
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can someone please help me with these two
Answer:
1)
x=8 degrees
<B=70 degrees
2)
<MON=57 degrees
Step-by-step explanation:
Detailed ans is in attachment
hope it helps :)
plz mark as brainliest
Simplify: (2a)(-5b)
?
Answer:
-10ab
Step-by-step explanation:
(2a)(-5b)
Multiply the constants
2* -5 = -10
Multiply the variables
a*b = ab
Combine
-10ab
The expression -10ab represents the product of 2a and -5b
To simplify the expression (2a)(-5b), we can multiply the coefficients and combine the variables.
Multiplying the coefficients, 2 and -5, gives us -10.
For the variables, we multiply the like terms, which in this case are 'a' and 'b'. When we multiply 'a' and 'b', we simply write them side by side: ab.
Therefore, simplifying (2a)(-5b) results in -10ab.
The expression -10ab represents the product of 2a and -5b, combining the coefficients and variables into a single term. It is important to note that the order of the variables, 'a' and 'b', is maintained in the simplified form.
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Find all solutions by factoring.
c? + 13c + 40 = 0
Answer: c = -5, -8
Step-by-step explanation:
c^2 +13c+40=0
(c+5)(c+8)=40
c = -5, -8
shaun had a collection of 840 matchbox vehicles. of these vehicles, 15% are four wheelers and 30% are convertibles. the rest are fast cars. how many fast cars are shaun matchbox box.
Answer:
462 fast cars please mark brainliest
Step-by-step explanation:
PLEASE HELP ME LIKE IM GOING TO CRY ILL give you brainliest if the answer is correct and 20/40 points..............Ben participated in a race. During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours. During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. What equation could you write to solve for the number of hours Ben ran during each half of the race? Let y represent the number of miles in half the race. Write two equations, one for the first half of the race and one for the second half. How could you transform these two equations to be the same as the original equation you wrote to solve for x? What do you think this means about solving for the variables in a situation represented by two equations?
Answer:
Answer are at the bottom!
Step-by-step explanation:
First equation: y=5x
Second equation: y=5.5x
Unit rate:
x/5.5
5.5/5.5
x/1
Hope this helps!