9514 1404 393
Answer:
No
Step-by-step explanation:
If all 30 coins were nickels and dimes, there would be 10 dimes and 20 nickels, for a total value of $2.00. Trading a dime and 2 nickels for an equal number of quarters raises the value to $2.00 -0.10 -2(0.05) +3(0.25) = $2.55.
That is, each such trade adds $0.55 in value to the total amount. Since the original difference of $3.00 -$2.00 = $1.00 is not evenly divisible by $0.55, there cannot be twice as many nickels as dimes.
__
For 30 coins, possible numbers of {nickels, dimes, quarters} are ...
{21,2,7}, {18,6,6}, {15,10,5}, {12,14,4}, {9,18,3}, {6,22,2}, {3,26,1}, {30 dimes}
Note that we can have 1.5, 3, or 10.5 times as many nickels as dimes, but not 2 times as many.
What is the area of a rectangle with a base of 7 cm and a height of 11 cm
Answer: 77
Step-by-step explanation:
If x= -4 and y= -3 what does 3x - 2y equal
Answer:
-6
Step-by-step explanation:
3(-4) = -12
-2(-3)= 6
-12+6= -6
Answer:
-6
Step-by-step explanation:
If x = -4 and y = -3, the equation should be set up like this: 3(-4) - 2(-3). The rule is if you multiply a 1 positive number by 1 negative number, the answer will be negative.
3(-4) = -12
2(-3) = -6
Then, once you figure out the multiplication, finish up the equation by subtracting.
-12 - (-6) = -6
Helpppppp plssssssssss
Answer
I dont know
Step-by-step explanation:
I would love to help but I have no clue
Answer:
slope = 12/7
Step-by-step explanation:
y2 - y1 / x2 - x1 = slope
slope = 4-(-8)/0-(-7)
slope = 12/7
How much interest would you pay on a $12000 loan at 5% for 6 years
Answer:
Interest=$3600
Step-by-step explanation:
I = P * r * x * t
Where:
P is the principal amount, $12000.00.
r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.
t is the time involved, 6....year(s) time periods.
So, t is 6....year time periods.
To find the simple interest, we multiply 12000 × 0.05 × 6 to get that:
The interest is: $3600.00
Usually now, the interest is added onto the principal to figure some new amount after 6 year(s),
or 12000.00 + 3600.00 = 15600.00. For example:
If you borrowed the $12000.00, you would now owe $15600.00
If you loaned someone $12000.00, you would now be due $15600.00
If owned something, like a $12000.00 bond, it would be worth $15600.00 now.
what is the distance between (-1, 2) and (3, 5)
Answer
the slope is 3/4 or .75
Answer:
The distance is 5 units.
Step-by-step explanation:
Key Skills needed for this problem: Distance Formula, Coordinate Plane Understanding, Radicals, Subtraction, Exponents, Addition
1) We are given 2 points --> (-1,2) and (3,5)
2) To find out the distance between both, we use distance formula.
This is: Given 2 points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex], the distance between the 2 points would be: [tex]\sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex].
3) For the points (-1,2) and (3,5):
-1 is x12 is y13 is x25 is y24) Therefore it would be --> [tex]\sqrt{(-1 - 3)^{2} + (5-2)^{2}}[/tex]
5) This simplified would be [tex]\sqrt{(-4)^{2} + 3^{2}}[/tex]
6) This further simplified would be: [tex]\sqrt{16 + 9}[/tex]
7) This even more simplified would be [tex]\sqrt{25}[/tex] which is 5.
Therefore, the distance between the 2 points is 5 units.
Hope you understood and have a nice day!! :D
Set A of six numbers has a standard deviation of 3 and set B of four numbers has a standard deviation of 5. Both sets of numbers have an equal mean. If the two sets of numbers are combined, find the variance.
Given:
[tex]\sigma_A=3[/tex]
[tex]n_A=6[/tex]
[tex]\sigma_B=5[/tex]
[tex]n_B=4[/tex]
[tex]\overline{x}_A=\overline{x}_B[/tex]
To find:
The variance. of combined set.
Solution:
Formula for variance is
[tex]\sigma^2=\dfrac{\sum (x_i-\overline{x})^2}{n}[/tex] ...(i)
Using (i), we get
[tex]\sigma_A^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{n_A}[/tex]
[tex](3)^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}[/tex]
[tex]9=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}[/tex]
[tex]54=\sum (x_i-\overline{x}_A)^2[/tex]
Similarly,
[tex]\sigma_B^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{n_B}[/tex]
[tex](5)^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}[/tex]
[tex]25=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}[/tex]
[tex]100=\sum (x_i-\overline{x}_B)^2[/tex]
Now, after combining both sets, we get
[tex]\sigma^2=\dfrac{\sum (x_i-\overline{x}_A)^2+\sum (x_i-\overline{x}_B)^2}{n_A+n_B}[/tex]
[tex]\sigma^2=\dfrac{54+100}{6+4}[/tex]
[tex]\sigma^2=\dfrac{154}{10}[/tex]
[tex]\sigma^2=15.4[/tex]
Therefore, the variance of combined set is 15.4.
Billy bought 2 sweatshirts and 3 t-shirts. His friend Jordan bout 3 sweatshirts and 3 t-shirts. Billy's bill was $35 and Jordan's bill was $45. What is the price of one t-shirt and what is the price of one sweatshirt?
i need help 42/18 simplified.
Answer:
The simplest form of 42/18 is 7/3 or 2 1/3
Step-by-step explanation:
Answer:
7/3 or 2 and 1/3
Step-by-step explanation:
So first you have to find what is GCF of 42 and 18, which is 6 so divide 42 and 18 by 6 and you get 7/3 which is your simplified fraction but you can make this into a mixed number which would be 2 and 1/3
please help, can't understand.
Step-by-step explanation:
Angle ACO = 140° - x. (Sum of angles in a triangle is 180°)
Now draw the line OD. The triangles ODC and OBC are congruent via the SSS congruence property. (OD and OB are both the radius of semicircle, common side OC, and side CD = CB is given)
Hence Angle BCO = Angle ACO = 140° - x.
Since triangle OBC is an isosceles triangle with OC = OB, this means that Angle CBO is also 140° - x.
By Exterior Angle theorem,
we have Angle AOC = Angles BCO + CBO
=> x = (140° - x) + (140° - x)
=> 3x = 280°
=> x = 280°/3. (B)
Evaluate −4(1/4)6x for x=1/3.
Enter your answer as a fraction in simplest form in the box.
What is the area of the triangle in the diagram?
Answer:
A is the correct answer
Step-by-step explanation:
We need to figure out the base and the height. We can do that using pythagorean's theorem.
The others either misused the pythagorean theorem or got the 1/2*base*height formula wrong, so A is the answer.
Which of the following is the slope intercept form of the equation
3x - 8y = 16
A- y = 3/8x + 2
B- y = 3/8x - 2
C- y = -3/8x + 2
D- y = -3/8x - 2
Answer:
y = 3/8 x - 2
Step-by-step explanation:
Put 8y on the other side to get
8y + 16 = 3x
8y = 3x - 16 and thus
y = 3/8 x - 2
Please help me with number 15. If you could provide work, that would be great.
x[tex]x^{2} -10x+9--->use AC method---->(x-9)(x-1)[/tex] i think
Which of the following statements about AB and AC is true?
Answer:AB is longer than AC
Step-by-step explanation:AP3X
Answer:
c
Step-by-step explanation:
I just did it on A.P.E.X.
kevin has a part time job
he earns £8 an hour
he wants to buy a new bike costing £176
how many hours does he need to work to earn enough to but it?
Task 4
Shelly started driving her own car for Uber. She
charges a flat fee of $5.00 and $0.50 for every
kilometer.
Q: How many kilometers were travelled if she
charges $32.50?
Answer:
5 and 10/11 kilometers
Step-by-step explanation:
if she gets $5.50 per 1 kilometer the she gets $33 dollars per 6 kilometers but she got 32.50 there are $0.50 missing which equals to 10/11 the actual price so she went 5 kilometers and 10/11 killometer
Morristown City Cafe recently introduced a new flavor of coffee. They served 24 grande cups and 51 jumbo cups of the new coffee today, which equaled a total of 1,506 ounces. The day before, 26 grande cups and 66 jumbo cups were served, which used a total of 1,868 ounces. How much coffee is required to make each size?
Please help! I am so confused on this, I've probably been stuck on it for at least an hour.
9514 1404 393
Answer:
see attached for the drawing
slope = -1/2
Step-by-step explanation:
For the rise of -1 and the run of 2, the slope is ...
m = rise/run = -1/2 . . . . slope in simplest form
__
Additional comments
It usually works best if you can identify points on the graph where the line crosses grid intersections. Then the number of squares in each direction can be counted easily. If you work with two grid intersections that are closest together, then the ratio of rise to run will already be in reduced form.
On this graph, there are other grid crossing points that are 4, 6, 8 units to the right or left of the one where we started. You need to remember that "run" is positive in the "right" direction, and "rise" is positive in the "up" direction.
We have shown the "rise" and "run" lines above the graphed line. They can also be shown below the graphed line.
Here, the grid squares are 1 unit in each direction. You need to pay attention to the scale, because some graphs have different numbering vertically than horizontally. The values for "rise" and "run" need to be figured using the appropriate scale.
A 123-inch pipe is cut into two pieces. One piece is two times the length of the other. Find the length of the shorter piece.
Answer:
the shorter pipe is 41 inches the longer one is 82 inches.
Step-by-step explanation: hope this helps
Order the following fractions from least to greatest 2/8 2/3 2/9
Answer:
2/9, 2/8, 2/3
Step-by-step explanation:
2/9= 0.22 (to 2 decimal point)
2/8= 0.25
2/3 = 0.67
Jeremy wants to determine the number of solutions for the equation below without actually solving the equation. Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3 Which method should Jeremy use?
Options :
Determine whether the equation has the form a = a, and if it does, the equation has infinitely many solutions. Determine whether the equation has the form a = b, and if it does, the equation has no solution. Determine whether the equation has the form x = a, and if it does, the equation has one solution. Determine whether the equation has the form x = 0, and if it does, the equation has no solution.
Answer:
Determine whether the equation has the form x = a
Step-by-step explanation:
Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3
-3(x + 1) + 3x = - 3(x - 1) + 3
If the equation has the form x =a, where a is the unknown and a is the value of the unknown 'x'
Expanding :
-3x - 3 + 3x = - 3x + 3 + 3
-3x + 3x -3 = - 3x + 6
-3 = - 3x + 6
-3 - 6 = - 3x
-9 = - 3x
x = 9/3
x = 3
tyler has 4 sandwichs he wants to cut each sandwich into halves how many 1/2 size pieces will he have
tyler has 4 sandwichs he wants to cut each sandwich into halves how many 1/2 size pieces will he have
Solution:[tex]4 \div \frac{1}{2} [/tex]
[tex] = 4 \times \frac{2}{1} [/tex]
[tex] = \frac{8}{1} [/tex]
[tex] = 8[/tex]
Checking:[tex]8 \times \frac{1}{2} [/tex]
[tex] = 4 \times \frac{1}{1} [/tex]
[tex] = \frac{4}{1} [/tex]
[tex] = 4[/tex]
Final Answer:8 pieces
#CarryOnLearning
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f(x)=x^3+9x^2+23x + 15
Yuto solved the equation below.
Negative 2 (x + 5) = negative 2 (x minus 2) + 5
What is the solution to Yuto’s equation?
Answer:
x = no solutions
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
-2(x + 5) = -2(x - 2) + 5
Step 2: Solve for x
Distribute -2: -2x - 10 = -2x + 4 + 5Add: -2x - 10 = -2x + 9Add 2x on both sides: -10 ≠ 9Here we see that -10 does not equal 9.
∴ x = no solutions.
Answer:
no solution
Step-by-step explanation:
:)
mandy flips a quater 360 times .how many time should she expect to see heads
Answer:
180
Step-by-step explanation:
Did I get it correct?
Answer:
No they are proprotional.
Step-by-step explanation:
the tables eqaution is
y=3x+1
Answer:
Yes. I assume yes they are proportional because you can see a pattern in the y and x's.
What is the equation
A garrison of 120 people had enough food for 30 days. If 20 people leave the garrison after 10 days, how long do the remaining provisions last?
Answer:
We know that no. of days is inversely propotional to the provision for men.
So for 120 men the provision would last for 30days. (given)
Therefore, the provision for 1 men would sustain for. 120 *30 = 3600 days.
Let after the joining of 5 men (after 5 days) the no of more days the provision would last is x days
A.t.q 120*30 = 120*5+125*x
(120*30) - (120*5)= 125x
120(30-5)=125x
120 * 25 = 125x
120 = 5x
x=120/5
x= 24
so the provision would remain for more 24 days.
1) What are the solutions of (x/3) > -1?
is this asking if I need multiple solutions?
Yes...
x/3 > -1
what values of x make x/3 > -1
hint... your answer will look like like x > (number)
The sporting goods store has a pair of soccer cleats on sale for $52. Without the sale they are $75. What is the percent of decrease? (Round to the nearest percent.)
Answer:
nl i can't give sorry again