Answer:
There are 90 coins in the bag.
Step-by-step explanation:
Let [tex]x[/tex], [tex]y[/tex] the number of dimes and quarters. Now we proceed to translate each relevant sentence into mathematical expressions:
(i) The number of quarters is 6 more than twice the number of dimes:
[tex]y = 2\cdot x + 6[/tex] (1)
(ii) There are a total of 276 coins in the bag:
[tex]x + y = 276[/tex] (2)
By applying (1) in (2), we find that the number of dimes is:
[tex]x+2\cdot x + 6 = 276[/tex]
[tex]3\cdot x = 270[/tex]
[tex]x = 90[/tex]
There are 90 coins in the bag.
The movie theater sold 538tickets on Friday. On Saturday 907 tickets were sold how many more tickets were sold on Saturday
Answer:
369 more tickets
Step-by-step explanation:
907-538=369
1) Arnold has $200 in his bank account. His bank
account earns interest at a rate of 2% each year.
After 15 years, how much money will Arnold have
in his bank account (assuming no withdrawals or
deposits)?
Answer:
P is the principal amount, $200.00.
r is the interest rate, 2% per year, or in decimal form, 2/100=0.02.
t is the time involved, 15....year(s) time periods.
So, t is 15....year time periods.
To find the simple interest, we multiply 200 × 0.02 × 15 to get that:
The interest is: $60.00
A recipe says that 2 cups of dry rice will serve 6 people. Complete the table as you answer the questions. Be prepared to explain your reasoning.
Plsss help I’ll give u brainlest and 10 points
Answer:
b
Step-by-step explanation:
d is your inital amount. Then you spend $7, so you subtract 7. That is greater than or equal to 50.
(50 Points)
Which equation combines with the given equation to form a system of equations with the solution x = 3 and y = 9?
x + 2y = 21
Answer:
It's option C.
Step-by-step explanation:
It's right on edmentum. Also just use substitution. Not that hard.
what is an equation of the line that passes through the point (8,0) and is parallel to the line x -4y=20
Step-by-step explanation:
Y-0 = 1/4(x-8)
4Y= x-8
4Y-x+8=0
if f(x)=x^2+4x-12. find f(2)
Answer:
f(2) = 28
Step-by-step explanation:
By evaluating the function in x = 2 we will see that f(2) = 0.
How to evaluate a function?Here we have:
[tex]f(x) = x^2 + 4x - 12[/tex]
and we want to find f(2), so we need to evaluate in x = 2.
To do this, we just replace the "x" in the function by the number 2, we will get:
[tex]f(2) = 2^2 + 4*2 - 12 = 4 + 8 - 12 = 0[/tex]
So we can conclude that f(2) = 0.
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can i have some help
Answer:
one solution
Step-by-step explanation:
once you solve it, x equals 0
3
Edwin is collecting glass beads and gold buttons. The glass beads are worth $0.50 each and the gold buttons
are worth $0.70 each. His total collection is worth $35. The number of glass beads he has is represented by g.
and the number of gold buttons he has is represented by b. The equation 0.50g +0.70b = 35 can be used to
determine how many of each item he has.
Select all of the possible bead and button combinations based on the above criteria.
g= 70, b = 0
g=52, b = 10
g= 56, b'= 10
8= 42, b = 20
g=0, b= 100
no
9514 1404 393
Answer:
(g, b) = (70, 0), (56, 10), (42, 20)
Step-by-step explanation:
The g-intercept is 35/0.5 = 70, so (g, b) = (70, 0) is a possible combination.
The slope of the relation is such that when g goes down by 14, b goes up by 10. Other points on the line are (70 -14, 0 +10) = (56, 10) and (56 -14, 10 +10) = (42, 20).
Of those listed, the possible combinations are ...
(g, b) = (70, 0), (56, 10), (42, 20)
In 3 hours Traci is 135 miles from home as she drives from San Francisco to Dawson. Let represent the number of hours and represent the number of miles. The rate of change is and in 12 hours Traci will be miles from home
Answer:
45 mph
540 miles
Step-by-step explanation:
Given that :
Number of miles from home = 135 miles
Number of hours = 3 hours
Rate of change : Distance / Time
Rate of change = 135 miles / 3 hours
Rate of change = 45 miles per hour
Distance covered in 12 hours :
45 mph * 12 hours = 540 miles
Hence, In 12 hours Traci will be 540 miles from home
(a+b)^3 what if it is was a plus
Answer:
Step-by-step explanation:
(a+b)³
a³+a²b+ab²+b³
Or
a³+b³+ab(a+b)
[tex](a + b)^{3} = {a}^{3} + 3{a}^{2} b + 3a {b}^{2} + {b}^{3} [/tex]
Also do not get mixed between
[tex] {a}^{3} + {b}^{3} [/tex]
They both are not the same.
[tex](a + b)^{3} ≠ {a}^{3} + {b}^{3} [/tex]
What is the value of t?
40°
39°
Answer:41
Step-by-step explanation:
because the 49 degrees and t equal a right angle which is 90 degrees you subtract 49 from 90 which makes the remaining degree aka t 41
Find the equation of the line that is perpendicular to y = -2x+ 6 and passes though the point (-4,2).
Answer:
y= 1/2x + 6
Step-by-step explanation:
when making a perpendicular equation, flip the slope.
Answer:
y = 1/2x + 4
Step-by-step explanation:
The slope of the perpendicular line will have the complete opposite slope.
The perpendicular slope is 1/2x.
To get the slope I just got the opposite sign and reciprocal of -2.
NOW plug in (-4,2) to find the y-intercept
2 = 1/2(-4) + b (b represents y-intercept)
2 = -2 + b (add 2 on both sides)
4 = b
y = 1/2x + 4 is the final equation
HOPE THIS HELPS!!
Please help it’s due today
Answer:
x = 2/3
Step-by-step explanation:
cross multiply
-9(x-4) = 10(3x+1)
and then solve the equation
-9x + 36 = 30x + 10
36 = 39x + 10
26 = 39x
x = 2/3
A bag contains three green marbles, four blue marbles, and two orange
marbles. If a marble is picked at random, what is the probability that an orange
marble will NOT be picked?
Answer:
7/9
Step-by-step explanation:
There are 9 marbles total. there are 3 green, 4 blue, and 2 orange. The chance of picking an orange is 2/9. The chance of picking a green is 3/9, or 1/3. The chance of picking a blue is 4/9. To find the chance of not picking an orange, add 3/9 and 4/9 to get 7/9. The chance of not picking an orange is 7/9. I hope this helps!
Which of these equations represents a line parallel to the line 2x + y = 6?
A) y= 2X+3
B) y -2X=4
C) 2X -y=8
D) y= -2X+1
Answer:
D) y= -2X+1
Step-by-step explanation:
All of the lines are perpendicular to the line 2x+y=6 except for D) y= -2X+1.
what is the y-intercept of the graph of the function
Answer:
(0,-5)
Step-by-step explanation:
It is where the line meets the y axis
I think of a number q, multiply it by 2 and add 5. I get the same answer as when I minus 2 from q. Find the value
Answer:
Q is -7
Step-by-step explanation:
Q×2+5=x
Q-2=x
Q=-7
which slopes could be the slopes of perpendicular lines?
1/2 and 2
8 and -1/8
2 and 2
1 and -1
0 and undefined
Answer:
0 and undefined
Step-by-step explanation:
please help.............
Answer:
The answer is 4
Answer:
image 1
Step-by-step explanation:
because pointing down is then 180 and taking another 90 degrees and go in counterclockwise direction
I store Offers a rewards program where shoppers are in one point for every two dollars I spent +500 bonus points on their first purchase. But the function of represent the points earned as a function of the total amount spent ask. Write a function that represents the total number of points earned us as a function of the amount spent
Answer:
F(p) = 500 + 0.5p
Step-by-step explanation:
Given that :
Bonus point on first purchase = 500
Number of points earned for every 2 dollar spent = 1
Points earned as a function of amount spent :
Bonus point + points earned per dollar
Number of points earned per dollar = 1 / 2
Let p = amount spent
F(p) = function representing the points earned
Hence,
F(p) = 500 + 0.5p
Omar's classroom has 2 closets. Each closet has 3 shelves. There are 5
backpacks on each shelf.
Answer:
There are 30 backpacks on each shelf if thats what your asking
Step-by-step explanation:
Because 2 times 3 is 6 and 5 times 6 is 30
Evaluate the expression
negative 14 plus 5
Answer:
its -9 :)
dmdmonjdnkjdnb
Answer:
-9
Step-by-step explanation:
-14+5 = -9
In equations like this, look at the signs of the numbers and that will tell you what to do. Remember it like this:
"Same signs add and keep. Different signs subtract. Keep the sign of the higher number then you'll be exact"
La suma de DOS números pares es 100. ¿Cuáles son esos números?
The sum of TWO even numbers is 100. What are those numbers?
please help I am timed!!!!!!!!!!!!!!!!!!!!!
Answer:
Option 3
Step-by-step explanation:
If you get more of these just now that a y value of a graph in this case -2, will be outside of the radical or else it would start at 2 and keep going right above 0 due to the radical.
Answer:
the answer is C
Step-by-step explanation:
The principal of East High School wants to buy a new cover for the sand pit used in the long-jump competition. He measured the sand pit and found the length is 29.2 feet and the width is 9.8 feet. What will the area of the new cover be?
Answer:
286.16
Step-by-step explanation:
To find the area, you simply multiple length by width. And the product of 29.2 and 9.8 is 286.16
What is the slope of the line that passes through the points (-9,10) and (21,15)
Answer:
1/6
Step-by-step explanation:
We can find the slope of the line using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 15 - 10)/( 21 - -9)
= ( 15-10) /( 21+9)
=5 / 30
= 1/6
Pregunta En cierto supermercado, Monica pagó $ 3,20 por 2 libras de manzanas y 2 libras de naranjas, mientras que Sarah pagó $ 4,40 por 2 libras de manzanas y 4 libras de naranjas. A estas tarifas, ¿cuál es el costo, en dólares, de 3 libras de naranjas?
Answer:
Step-by-step explanation: 14.2
Which equation best represents the line?
Oy = 3x + 3
Oy=-x-8
O y = -x + 3
2
x+
Oy = 3x +
2
Answer:
Y=(1/2)x + 3
Step-by-step explanation:
The equation of the line is y = (1/2)x + 3.
We have,
The equation of a line is written as:
y = mx + c
Where m is the slope and c is the y-intercept.
Now,
From the line,
We have the following coordinates:
(2, 4) and (4, 5)
Now,
Slope.
m = (5 - 4) / (4 - 2) = 1/2
And,
(2, 4) = (x, y)
Substituting.
y = mx + c
4 = (1/2) x 2 + c
4 = 1 + c
c = 4 - 1
c = 3
Now,
y = (1/2)x + 3
Thus,
The equation of the line is y = (1/2)x + 3.
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What is
of 1 of 10?
5
Answer:
Pretty sure it's 2
Step-by-step explanation: