PLEASE HELP! Riley reached into his pocket and pulled out a total of 27 coins, consisting of quarters and dimes. If the total value of the coins is $5.55, how many quarters does he have?
Answer:
He has 19 quarters.
Step-by-step explanation:
To solve this, we can set up a system of equations.
Let's first name our variables.
x: number of quarters
y: number of dimes
Using this, we can write the following equations.
Number of coins: x+y=27
Total Value: 0.25x+0.1y=5.55
We can rewrite the first equation to x=27-y by subtracting y from btoh sides. This way, we can substitute 27-y in for x.
0.25(27-y)+0.1y=5.55
Distribute.
6.75-0.25y+0.1y=5.55
Combine like terms.
6.75-0.15y=5.55
Subtract 6.75 from both sides.
-0.15y=-1.2
Divide both sides by -0.15
y=8
There are 8 dimes.
We can use that to find the number of quarters by plugging it in to one of the equations.
x+y=27
x+8=27
Subtract 8 from both sides.
x=19
He has 19 quarters.
Identify all values that are irrational.
-1/3
-3
13
Pi/3
Answer:
pi/3 irrational
Step-by-step explanation:
A rational number is the ratio of two integers
-1/3 is two integers rational
-3 can be written as -3/1 rational
13 can be written as 13/1 rational
pi/3 pi itself is irrational and cannot be written as an integer
Solve for an angle in right triangles
Please help! Thank you!
Answer:
Angle A = 55.15 degrees
Step-by-step explanation:
cos^-1(4/7)=Angle A
Therefore, Angle A = 55.15 degrees
Answer:
55.15
Step-by-step explanation:
Which is the largest?
4.8 x 10-6
1.3 x 1020
3.1 x 10-4
9.2 x 10-5
Answer:
1.3 x 1020
Step-by-step explanation:
4.8 x 10-6 = 42
1.3 x 1020 = 1326
3.1 x 10-4 = 27
9.2 x 10-5 = 87
Find AB
picture is attached
Answer: AB = 15 units long.
Step-by-step explanation:
The triangles are identical.
You can infer this from both triangles sharing the side of BD and AD and CD marked as equal in length.
When triangles are identical, all three sides and angles are identical in length and measure, respectively.
Knowing this, we can set the sides of "5x" and "4x + 3" equal to each other in an equation to solve for x:
5x = 4x + 3
x = 3
When x equals 3, multiply x by 5 to find the side length of AB.
AB = 15 units long.
anyone please appreciate yall x
Answer:
h = 2.5 cm
Step-by-step explanation:
The volume (V) of the prism is calculated as
V = Ah ( A is the area of the triangular end, h is the length of prism )
Here V = 35 and h = 7, thus
7A = 35 ( divide both sides by 7 )
A = 5 cm²
Thus
A = [tex]\frac{1}{2}[/tex] × 4 × h = 5
2h = 5 ( divide both sides by 2 )
h = 2.5 cm
PLs find x answer will get brainiest
Answer:
x = 52
Step-by-step explanation:
the right angle means 90 degrees so add 90 and 34 to get 124 then when u subtract from 180 degree (the degrees of a triangle) you get 54 degrees. that means that p has to be 124 degrees. 124 subtracted by 72 is 52. Therefore x is 52.
In a class of 40 students, 8 are in the drama club and 12 are in the art club. If a student is selected at random, what is the probability that the selected student is...
1
...in the drama club?
1
...in the art club?
Answer:
20 percent for drama club
30 percent for art club
Answer:
p(drama club) = 1/5
p(art club) = 3/10
Step-by-step explanation:
Total number of students = 40
Number of students in drama club = 8
p(drama club) = 8/40 = 1/5
Number of students in art club = 12
p(art club) = 12/40 = 3/10
What is the value of y in the product of powers below?
8^3 8^-5 8^y= 8^-2=1/8^2
Answer:
y=0
Step-by-step explanation:
8^3 8^-5 8^y= 8^-2
We know that a^b * a^c = a^(b+c)
8^(3-5+y) = 8^-2
The bases are the same so the exponents must be the same
-2+y = -2
y = 0
Answer:
0
Step-by-step explanation:
| n | = 3.5 what value for n will make this expression true
This is the I Ready diagnostics.please help me this is due very very soon! Thanks!!
Answer:
3.5 and -3.5
Step-by-step explanation:
absolute value is the distance from zero to that number so 3.5 and -3.5 should be correct.
Answer:3.5 and -3.5
Step-by-step explanation:
n has absolute value marks, so whatever n is is positive. 3.5 and |-3.5| =3.5
Which statement is best represented by the inequality d less-than 0.35?
The pen costs less than $0.35.
The pencil costs are greater than $0.35.
The toy costs more than $0.35.
The stamp’s cost is equal to $0.35.
Answer:
a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Is 5.130 greater than 5.13
Answer:
They are equal
Step-by-step explanation:
5.130 is equal to 5.13 because you simply added a zero onto the end of 5.13.
Adding a zero after a decimal is like adding a zero in front of an integer.
1.5 = 1.50
5 = 05
PLEASEEEE HELP MEEEE
Answer:
(0.5,0) , (-3,0) ,and (0,-1.5)
Step-by-step explanation:
Just look where the points touch the x- and y-axis.
It touches twice on the x- and once on the y-axis.
Hope that helps!
Listen
Cameron is going to the market to buy some vegetables. He has $20 to spend. He plans on buying peppers and onions. If he spends more than $12 on the onions, which inequality
represents the amount of money Cameron can spend on peppers, p?
Answer:
x = amount of money he spends on peppers
0<x<8
if it's 12 or more dollars than 20-12=8 which can be your greatest number and 0 being the lowest range based on the actual amount spent on onions. make sure to put a line under the inequality signs to show that it can also be equal to the number.
Can anyone help me solve this question thanks?
Answer:
X^2 + 8x + 15
Step-by-step explanation:
The only like terms are 5x and 3x so you add those together and sinse no other terms are similar you leave the answer at x^2 + 8x +15.
Correct answers only!
To the nearest cent, how much interest will she earn in 3 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
1180.12
Step-by-step explanation:
p= 4000
r = 9% =0.09
t =3
plug in into B = p(1 + r)^t
B = 4000(1 + 0.09)^3
B = 4000(1.09)^3
B =5180.116 round to the 2 decimals
B = 5180.12
make the difference between B, the balance (final amount) and p, the principal (starting amount) = 5180.12-4000 =1180.12
Read more on Brainly.com - https://brainly.com/question/16685853#readmore
What’s the slope of the equation y = x + 6
Answer:
m (slope)=1
Step-by-step explanation:
y=x+6(m is always found in front of X so m=1)
Answer: 1
Step-by-step explanation: This equation is written in y = mx + b form.
The slope of the line will be the coefficient of the x-term.
Remember, the coefficient is the number in front of the variable.
Notice that the x does not have a coefficient.
When that happens, when there is no number in front
of your variable, you can put a 1 there to fill that position.
So the slope of the line will is 1.
solve the equaion
2b+3=2-3(b+3)
Answer:
b = -2
Step-by-step explanation:
Hello!
Solve the equation:
2b + 3 = 2 - 3(b + 3)2b + 3 = 2 - 3b - 95b + 3 = -75b = -10b = -2We can plug it back in to the original equation to see if it works:
2(-2) + 3 = 2 - 3(-2 + 3)-4 + 3 = 2 + 6 - 9-1 = -1The solution works.
Adrian and his children went into a bakery and where they sell donuts for $1.50 each and brownies for $2.50 each. Adrian has $40 to spend and must buy a minimum of 20 donuts and brownies altogether. If x represents the number of donuts purchased and y represents the number of brownies purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
10 donuts and 10 brownies
Step-by-step explanation:
In this case we must solve the system of equations that do not say in the statement:
at least 20 must be, therefore:
x + y = 20 => x = 20 - y
1.5 * x + 2.5 * y = 40
replacing:
1.5 * (20 - y) + 2.5 * y = 40
30 - 1.5 * y + 2.5 * y = 40
y = 40 - 30
y = 10
now for x:
x = 20 - 10
x = 10
therefore, to be a minimum of 20, they must be 10 donuts and 10 brownies
Graph this function Y=1x+3
Attachment below
Answer:
(1,3) (2,5)
Step-by-step explanation:
Keep going in a straight line like that. You choose a number for x, multiply with 1, then add 3. like if my x is 4 then 4 times 1 is 4 then i add three so seven, so (4,7)
x²-5x divided by 2
= 0
Answer:
x = 10, x = 0
I dont know if you wanted an answer but yeah-
Dara invests $800 at 12.5% per
annum compound interest compounded
half-yearly .What in his amount of
interest at the end of the first year?
need help asap xd
Answer:
By the end of the first year Dara will have $903.125 in his account.
Step-by-step explanation:
Since this a compounded interest formula, it means that the amount invested grows exponentially overtime. In order to calculate the total of money over a period of time we must use the following formula:
M(t) = M(0)*(1 + r/n)^(n*t)
Where M(t) is the amount of money in "t" years, M(0) is the amount invested, r is the anual interest rate, n is the compound period over a year and t is the time elapsed in years.
In this problem the amount is compounded half-yearly, this means that for every year that passes the money is compounded twice, therefore n is equal to 2. Applying the data from the problem to the formula, we have:
M(1) = 800*(1 + 0.125/2)^(2*1)
M(1) = 800*(1.0625)^(2)
M(1) = 800*(1.0625)^(2) =903.125
By the end of the first year Dara will have $903.125 in his account.
Two similar triangular pastures meet at a
vertex, The dimensions are glven in yards,
How much fencing would be needed to
enclose the larger pasture?
11
7
5
13
x
у
A 28.2 yards
42.7 yards
47 yards
59.8 yards
Note that this is still a rectangle, and the length of the fencing is still 600 ft.
So the sum of the sides NOT along the river x + x + y = 600, and the area equals xy.
This makes the two equations: 2x + y = 600, and A = xy.
To find the largest area, we need to find A as a function of x or y. I suggest solving the first equation for y and replacing that in the second equation.
y = 600 - 2x. and A(x) = x(600-2x)
We now need to maximize A(x) = 600x - 2x2.
Remember, if x = -b/(2a), we find the x value of the vertex, the y value can be found by substitution.
So, since a = -2, and b = 600, x = -600/(-4) = 150 ft. If x = 150, y = 600 - 2(150) = 300.
So, the dimensions are 150 x 300 and the maximum area = 300(150) = 45,000 ft2
I hope this helps. By the way, there are many variations of this, and they are all similar. For example, you might want to make several pens with two lengths parallel and have three parallel withs inside.
Which expression means the same as “subtract 3 from 7 and then multiply by 4”
Answer:
4 × (7 - 3)
Step-by-step explanation:
You first subtarct 3 from 7 and then multiply that answer by 4
Answer:
4 × (7 - 3)
Step-by-step explanation:
Each of the 108 students attending a conservatory of music plays at least one of the piano, harp, and clarinet. 67 play the piano, 46 play the harp, 32 play the clarinet, 19 play the piano and the harp, 13 play the harp and the clarinet, and 8 play the piano and the clarinet. How many play all three instruments? Hint: Let x represent the number of students who play all three instruments.
Answer: 76
Step-by-step explanation:
VOLUME of Rectangle !!
Fill in the blanks -------
1. Length is 6.0, Width is 3.2, HEIGHT ?? ( ANSWER ) total volume 96 cm .
FIND THE HEIGHT HERE !!
2.LENGTH ?? ( ANSWER ) width is 2.0, height 1.1 total volume 22 cm .
FIND THE LENGTH HERE !!
3. length is 12.0, WIDTH ?? ( ANSWER ), Height is 4.0 and the total volume is 120 cm.
FIND THE WIDTH HERE !!
PLEASE....HELP !!! WRITE PROPERLY PLEASE... CORRECT ANSWER PLSS...
Answer:
see below
Step-by-step explanation:
V = l*w*h
1. V = l*w*h
96 = 6*3.2 h
96 = 19.2h
Divide each side by 19.2
96/19.2 =h
h = 5
2. V = l*w*h
22 = l*2 *1.1
22 = 2.2l
Divide each side by 2.2
22/2.2 =l
10 = l
3. V = l*w*h
120 = 12*w *4
120 = 48w
Divide each side by 48
120/48 = w
w =2.5
i need to find the value of x in this picture
m<FJI=90°, so
[tex]x + x + 4 + 3x - 9 = 90 \\ 5x = 95 \\ x = 19[/tex]
Answer: x=19
Answer:
x=73
Step-by-step explanation:
3x-9+x+4+x=360
5x-5=360
5x=360+5
5x=365
x=365÷5
x=73
At a concession stand, a pickle and two bags of chips costs a total of $3.25. Three pickles and four bags of chips costs a total of $7.25. To determine the cost of one pickle, Kevin is writing a system of equations. His first equation is shown below. Which of the following could be the second equation in his system of equations?
Answer:
A bag of chips costs $1
A pickle costs $1.25
Step-by-step explanation:
P + 2c = 3.25 Start with these two equations
3p + 4c = 7.25
p = -2c + 3.25 Solve for one variable
3(-2c +3.25) + 4c = 7.25 Substitute
-6c + 9.75 + 4c = 7.25
-2c = -2
c = 1
p + 2(1) = 3.25 Substitute
p + 2 = 3.25
p = 1.25
Which equation can be used to solve for x?
Choose from the Equation Bank!
Please Help!
Answer:
(2x-4)(x-4)=24*10
Step-by-step explanation:
Last equation from Equation bank
Find the solution to the system of equations.
Answer:
3x - 2 = -5x + 6
8x = 8
x = 1
y = 3 (1) -2
y = 3 - 2
y = 1
Step-by-step explanation:
Answer:
x = 1 and y = 1
Step-by-step explanation:
We want to find the solution. Our equations are:
y = -5x + 6
y = 3x - 2
Let's set these two equations equal to each other:
-5x + 6 = 3x - 2
8x = 8
x = 1
Substitute this back into any of the two equations to solve for y:
y = 3x - 2
y = 3 * 1 - 2 = 3 - 2 = 1
Thus, the answer is (1, 1), or x = 1 and y = 1.