Answer:
n = number of nickels = 7
d = number of dimes = 10
p = number of pennies = 20
Step-by-step explanation:
Let
n = number of nickels
d = number of dimes
p = number of pennies.
n + d + p = 37
0.05n + 0.10d + 0.01p = 1.55
p = 2d
Substitute p = 2d into the equation
n + d + 2d = 37
0.05n + 0.10d + 0.01(2d) = 1.55
n + 3d = 37
0.05n + 0.10d + 0.02d = 1.55
n + 3d = 37 (1)
0.05n + 0.12d = 1.55 (2)
Multiply (1) by 0.05
0.05n + 0.15d = 1.85
0.05n + 0.12p = 1.55
Subtract
0.15d - 0.12d = 1.85 - 1.55
0.03d = 0.3
d = 0.3/0.03
= 10
d = 10
p = 2d
= 2(10)
p = 20
n + d + p = 37
n + 10 + 20 = 37
n + 30 = 37
n = 37 - 30
n = 7
n = number of nickels = 7
d = number of dimes = 10
p = number of pennies = 20
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.
please help me please please nice brainly people pls
Answer:
I think your answer is B= 12.
Step-by-step explanation:
Its x times 1 .33333 = y
brainliest?
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
Maliah goes to an electronics store. Let y represent the price of a laptop and let z represent the price of a television. The equation
y=32 + 12 relates the prices.
Answer:
hi
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
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:
Justin and his children went into a grocery store and he bought $18 worth of bananas and mangos. Each banana costs $0.60 and each mango costs $1.50. He bought 2 more bananas than mangos. Graphically solve a system of equations to determine the number of bananas, x, and the number of mangos, y, that Justin bought.
Write an answer in y=mx+b form, please.
Two equations.
Answer:
x=10 and y= 8.
Step-by-step explanation:
Given that the cost of 1 banana = $0.60
Cost of 1 mango = $1.50.
Total cost= $ 18
Here, x be the number of bananas and y be the numbers of mangos,
As the number of bananas is 2 more than the number of mangos,
So, x=y+2
[tex]\Rightarrow y=x-2 \cdots(i)[/tex]
Cost of x bananas [tex]=\$ 0.60 \times x[/tex]
Cost of y mangos [tex]=\$ 1.50 \times y[/tex]
Total cost = 0.6x+1.5y
[tex]\Rightarrow 18 = 0.6x+1.5y\\\\\Rightarrow 1.5y=18-0.6x\\\\\Rightarrow y= 12 - 0.4 x \cdots(ii).[/tex]
Solving both the equations (i) as well as (ii), graphically as shown in the figure by plotting both the graphs.
Both the graphs intersect at the point (10,8) as shown in the graph.
So, the solution of both the equations is, (x,y)=(10,8). i.e
The number of bananas = x= 10 and
the number of mangos = y = 8.
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?
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
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.
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.
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
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 :-)
What is the LCD of 49:63
Answer:
21
Step-by-step explanation:
Answer:
411
Step-by-step explanation:
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
Solve 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]
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
Listen Rachel babysat three children for five hours if they were paid $2.50 per hour for each child and divided their earnings equally how much did each girl receive
Answer: Each girl will receive $18.75.
Step-by-step explanation:
Given: Two girls babysat three children for five hours.
Hourly pay for each child = $2.50
Payment for 5 hours per child = [tex]5\times\$2.50=\$12.5[/tex]
Payment to 3 children for 5 hours = [tex]3\times \$12.5=\$37.5[/tex]
So, the amount received by each girl = [tex]\dfrac{\text{Payment to 3 children for 5 hours}}{2}[/tex]
[tex]=\dfrac{37.5}{2}=\$18.75[/tex]
Hence, each girl will receive $18.75.
Compare the numbers
Answer:The answer is ≥ greater than or equal to
can you mark me Brainliest please
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:
Guys plz help Answer this QUESTION!!!
Answer:
I beliEve it is D
Step-by-step explanation:
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.
What is the length of a segment with endpoints at (-3,4) and (4,4)
Answer:
The length is 8
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!
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
What is a possible solution set to x + 7 ≤ -9 ?
Answer:
Step-by-step explanation:
x + 7 ≤ -9 subtract 7 from both sides
x≤-16 this is your answer
If you're plotting it will be (-∞,-16]
Answer:
Step-by-step explanation:
For this equation, all it is asking is to replace the unknown value with a number that completes the equation. However, the number must make the equation valid. Here is a few examples that could be a valid solution to this problem:
1. -55 + 7 < -9
(you don't need to solve this equation to tell that it's less than negative nine.)
2. 22 + (-98) + 7 < -9
(this is more complicated, but you can still tell that the sum is less than negative nine.)
So, basicly all that you have to do is replace the missing value with a number that gives the eqquation a sum less than negative nine. Hope this helped!!! :)
A new recreational sports center opens with 65 members. Each month the membership
increases by 12 members. Which equation represents the relationship between the
number of months the club has been opened, x, and the total recreational sports center
membership, y?
A y = 12x
B y = x + 12
C y = 12x + 65
D y = 65x + 12
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 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.
To learn more about algebra click here ;
https://brainly.com/question/19253676
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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.