Answer:
x = 8/3, y = 22/3
Step-by-step explanation:
5x-y=6-2x+y=8
5x-y=8 --- 1
6-2x+y=8 --- 2
by solving 1 and 2, x = 8/3, y = 22/3
Nine cards are numbered from 1 to 9 and placed in a box. One card is selected at random and not replaced. Another card is randomly selected. What is the probability of selecting two prime numbers?
Answer:
1/6
Step-by-step explanation:
There are 4 primes. So the probability for the first draw is 4/9. Since the card is not replaced, the second probability is 3/8. 3/8 * 4/9 is 12/72, which simplifies into 1/6.
Answer:
1/6
Step-by-step explanation:
There are 4 possible primes: 2, 3, 5, 7
First card has 4/9 probability of being a prime. Second card has 3/8 probability of being a prime(since 3 prime cards left and 8 total cards left because we do not replace the first card). 4/9 * 3/8 = 1/6.
Another way to do this is using combinatorics. C(9,2) = 36 ways to choose 2 distinct cards, C(4,2) = 6 ways to choose two of the "prime" cards. 6/36 = 1/6.
Convert the following to Standard Form: (x - 5)^2 + 4
Answer:
x² - 10x + 29
Step-by-step explanation:
The standard form of a quadratic is , ax² + bx + c (a ≠ 0 )
Given
(x - 5)² + 4 ← expand factor using FOIL
= x² - 10x + 25 + 4
= x² - 10x + 29 ← in standard form
Solve the equation and check the solution.
1.
a-212-11 /
O a=1
O a=3
O a=4
O a = 42
Answer:D
a=4
Step-by-step explanation:
Find the speed of a dog running 135 meters (m) to the right in 16s.
Based on the calculations, the speed of the dog is equal to 8.44 m/s.
Given the following data:
Distance = 135 meters.Time = 16 seconds.To calculate the speed of the dog:
What is speed?Speed can be defined as the distance covered by an object or living organism per unit of time. Thus, speed can be measured as meter per seconds.
Mathematically, speed is given by this formula;
[tex]Speed = \frac{distance}{time}[/tex]
Substituting the given parameters into the formula, we have;
[tex]Speed = \frac{135}{16}[/tex]
Speed = 8.44 m/s.
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Find the monthly interest payments in the situation described. Assume that monthly interest rates are 1/12 of annual interest rates
Ashton maintains an average balance of $1000 on his credit card which carries an annual interest rate of 15%
A.$1500
B.$12.50
C.$125
D.$150
The monthly interest payment is: B. $12.50.
Monthly interest paymentFirst step is to find the average monthly interest rate
Average monthly interest rate=1/12× 15%
Average monthly interest rate= 1.25%
Second step is to calculate the monthly interest payments
Monthly interest payments=1.25%× $1,000
Monthly interest payments=$12.50
Inconclusion the monthly interest payment is: B. $12.50.
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Solve: Give your answer in set notation.
5-4 |3+6x| > -31
{x|__< x <__}
Answer:
-2<x<1
Step-by-step explanation:
Substract 5 on both sides
-4I3+6X>-36
Divide by -4(flipping sign)
I3+6xI <9
SPLIT
3+6x<9 3+6x> -9 ( you flip back )
6x<6 6x>-12
x<1 x>-2
Does anyone know the answer to number 3?
Answer:
[tex](-3, 5)[/tex]
Step-by-step explanation:
Isolate x from the first equation:
[tex]x=\frac{11-4y}{3}[/tex]
Now, substitute it in the second equation:
[tex]\begin{bmatrix}2\cdot \frac{11-4y}{3}+y=-1\end{bmatrix}[/tex]
This gives you:
[tex]\begin{bmatrix}\frac{22-5y}{3}=-1\end{bmatrix}[/tex]
So, you conclude: y = 5
Next, we substitute y = 5 into [tex]x=\frac{11-4y}{3}[/tex]
So, we get:
[tex]x=\frac{11-4\cdot \:5}{3}[/tex]
Then:
[tex]x=-3[/tex]
Finally, we have to put it into the coordinate form:
[tex](-3, 5)[/tex]
Check my answer please!
Solve for x.
3/4x +1/4(x + 12) − 12 = 4x − 21
A. -3
B. 3
C. 4
D. 6
I think it's B I'm not sure though
2. At the grocery store checkout, you watch at the register as it rings up your purchases and coupons. The prices are as follows: $2.35 $1.17 $6.31 $1.75 $3.15 $8.79 $1.59 − $0.50 (coupon) − $1.00 (coupon) The register gives your total bill as $23.61 (a) Round each price and coupon to the nearest dollar and then estimate the total amount of the bill. (b) Using your estimate, determine whether the total on the register is reasonable. Justify your answer. Answer:
Answer:
Rounding goes up to the next number when a number is 5-9.
-$3
-$1
-$5
-$2
-$3
-$9
-$1
- $1 off (coupon)
- $1 off (coupon)
Rounded Total: $22
Exact Total: $21.77
B) The total on the register is reasonable because even with the rounded price at the end, it is only 23 cents off, which is good.
show that the area of a square A inscribed in a circle with radius r is A=2r square
Answer:
see below and see image.
Step-by-step explanation:
"inscribed" means the four corners (vertices) of the square are on the circle.
The diagonal of the square is the diameter of the circle. Use special right triangles or pythagorean thm to find the side length of the square in terms of r. Use Area formula for a square:
A = s^2 OR s×s
see image.
Given an
=
-2 -51-1
find the 11th term in the sequence.
The sequence a_n = -2 - 51n is an arithmetic sequence
The 11th term of the sequence is -563
How to determine the 11th term of the sequence?The nth term of the sequence is given as:
a_n = -2 - 51n
Substitute 11 for n to calculate the 11th term of the sequence
a11 = -2 - 51 * 11
Evaluate the product
a11 = -2 - 561
Evaluate the difference
a11 = -563
Hence, the 11th term of the sequence is -563
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need help please asap !!
Goran watched a video for 5/8 minutes. He watched another video for 1/8 minutes.
For how long did he watch videos in all?
Write your answer as a fraction in simplest form.
============================================================
Explanation:
Think of "eighths" as the name of a coin type.
The fraction 5/8 means "5 eighths" which we can think of as "5 coins".
Similarly, 1/8 can be thought of as "1 coin" because of 1 in the numerator.
We have two coins of the same type (both "eighths") which means we can combine the coin counts to get 5+1 = 6 coins total.
In other words, 1/8 + 5/8 = (1+5)/8 = 6/8
This is why we add the numerators but keep the denominators the same. If the denominators were different, then we cannot combine the fractions until we get them to the same denominator (such as the LCD).
Having different denominators is like adding apples to oranges. Unless we can somehow get them to the same unit, then adding wouldn't make much sense.
---------------------------
After adding, we need to reduce the result.
The numbers 6 and 8 have the common factor 2.
Divide each by this common factor.
6/2 = 38/2 = 4You can write it like this if you wanted:
[tex]\frac{6}{8} = \frac{6 \div 2}{8 \div 2} = \frac{3}{4}[/tex]
Or in short,
[tex]\frac{6}{8} = \frac{3}{4}[/tex]
If you cut a pizza into 8 slices, and eat 6 of them, then it's the same as eating 3 out of 4 total slices. That's one visual way to represent the fraction 6/8 turning into 3/4.
Jillana begins to solve a linear equation that results in a variable expression set equal to the same variable
expression. Which is the best interpretation of this solution?
The equation has one solution; x = 0.
The equation has one solution; x = 1.
The equation has no solution.
The equation has infinite solutions
9514 1404 393
Answer:
The equation has infinite solutions.
Step-by-step explanation:
When the same expression appears on both sides of the equal sign, the equation has an infinite number of solutions. It is true for all possible values of the variable.
x = x . . . . is true for all values of x
Answer:
d infinite sol
Step-by-step explanation:
Jennifer has a beginning balance of $4,750 in her Checking account. After depositing a paycheck (p), she writes a check (c), and another check (d). After writing the checks, she withdraws money from an ATM (a), then gets refunded some money (r) for returning a pair of shoes she bought. Write an Algebraic Expression that models the situation.
Answer:
An Algebraic Expression that models the situation is [tex]4750+p-c-d+r[/tex]
Step-by-step explanation:
Beginning balance of Jennifer=$4750
Now she deposits a paycheck = p
So, New balance = 4750+p
Now she writes a check = c
Remaining balance = 4750+p-c
Now she writes a check = d
Remaining balance = 4750+p-c-d
Now refunded some money (r) for returning a pair of shoes she bought.
New balance = 4750+p-c-d+r
Hence an Algebraic Expression that models the situation is [tex]4750+p-c-d+r[/tex]
The absolute value function, f(x) = 1x + 2, is shown.
If the graph is reflected over the x-axis, what is the
domain of the function?
4
3
O all real numbers
O all real numbers greater than or equal to 0
o all real numbers greater than or equal to -2
O all real numbers less than or equal to -2
2
1
1.2 3 4 5 X
-5 4 3 2 -1,
-2-
IN TY
Answer:
the first : all real numbers
Step-by-step explanation:
the domain is the interval or set of all valid values for x.
reflecting the graph over the x-axis simply means to multiply the original function by -1.
that does not change the domain in any case. it only changes the range (the interval or set of possible y values).
so, the domain is the same as for the original function : all real numbers.
Find the equation the line with the given information below:
X-intercept = (-4, 0)
y-intercept = (0, -8)
Answer:
y=[tex]\frac{1}{2}[/tex]x-8
Step-by-step explanation:
To solve this, you have to use the formula [tex]\frac{x_{2} -x_{1} }{y_{2} -y_{1}}[/tex] to find the slope.
[tex]\frac{0+4}{-8-0}[/tex] = 4/-8 = -1/2
so the slope is -1/2
Now, you plug your values into the formula y=mx+b
m = slope = 1/2
b = y-intercept = -8
so the final formula is y=[tex]\frac{1}{2}[/tex]x-8
State if the two triangles are congruent. If they are, state how you know.
Explanation:
The angles marked with a single arc are one pair of congruent angles forming one "A" of "ASA".
The other "A" is the angles marked with double arcs.
The "S" refers to the sides between those said angles. These sides overlap perfectly so we have a shared side, meaning they must be the same length (refer to the reflexive property).
This is why the triangles are congruent by the ASA (angle side angle) congruence theorem. One triangle is a reflected version of the other. The mirror line being that shared overlapping side. Congruent triangles are like twin identical copies.
solve for n if s = 540 Enter the value in the box.
180(n − 2) = s
Answer:
n = 5
Step-by-step explanation:
180(n − 2) = s
180(n − 2) = 540
180n - 360 = 540
180n - 360 + 360 = 540 + 360
180n = 900
(1/180) 180n = 900 (1/180)
n = 5
What is the y intercept of the line -9 + 3y= 18
Answer:
0,9
Step-by-step explanation:
Answer:
y=9
Step-by-step explanation:
In this equation you would add 9 to get the y on a side by itself that would get you 3y=27, then you would divide both sides by 3 and end up with your y-intercept to be 9.
What is 84% of $6.46?
answer: 5.4264
Hope i helped!
Tariq pays $41.85 for 5.5 pounds of salmon. What is the price per pound of the salmon.
Answer:
$7.61 per pound
Step-by-step explanation:
41.85/5.5 = 7.61
Answer:
7.6090909090909
Step-by-step explanation:
41.85 divided by 5.5= this and that's a way to find your answer.
And for the answers there is 5 09's.
so like 7.609
09 09 09 09 09
so=7.6090909090909
Hope it helps have a great day:)
⚠️⚠️PLEASE HELP⚠️⚠️
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
In the following pictograph, how many more books has Group 1 read than Group 4?
a. 9
b. 3
c. 18
d. 6
Answer:
First, we need to find how many books there are in each group;
If we look at group 1, they have 18 books.
If we look at group 4, they have 9 books. (We got this because they have 6 whole books, and they have half of a those 6 books which is 3 books in the other book symbol, so combined: 6 + 3 = 9)
18(group 1) - 9(group 4) = 9, group 1 read 9 more books.
which statement is false?
Answer:
B
Step-by-step explanation:
Hope this helps
Janice is cutting ribbon to decorate a present. She has 78 foot of ribbon. She needs to make pieces that are 38 foot each. How many 38-foot pieces will she get from the 78-foot ribbon?
Answer:
2
Step-by-step explanation:
because 38+38=76 so 2 pieces of ribbon.
Simplify 6m+(m-2)(m+7)+3
Answer:
Hi I'm always here to help!!
______________________________
m² + 11m − 11
______________________________
Have a great day!!!
Consider the figure. Determine the value of w.
Answer:
w=67°
Step-by-step explanation:
First you solve for x. 12x+11=x. X would be 1. Then you plug in 1 for x and add the w to the equation. 12(1)+11+w=90. after solving that you will get the total for w. which should be 67°
Answer:
43°Step-by-step explanation:
We observe on the picture that:
(12x + 11)° and 47° are vertical angles and vertical angles are equal as per definitionAngle w° is complementary angle with (12x + 11)° and complementary angles add to 90° as per definitionTherefore
w = 90°- (12x + 11)°w = 90° - 47°w = 43°2/3a -7+7/18a-5 1/6.
Please, help me, guys. I'm stuck.
The expression 2/3a -7+7/18a-5 1/6 is an illustration of fractions
The simplified expression of 2/3a -7+7/18a-5 1/6 is 19/18a -73/6
How to evaluate the expression?The expression is given as:
2/3a -7+7/18a-5 1/6.
Collect like terms
2/3a -7+7/18a-5 1/6 = 2/3a + 7/18a-7-5 1/6.
Express mixed fractions as improper fractions
2/3a -7+7/18a-5 1/6 = 2/3a + 7/18a - 7 - 31/6.
Evaluate the sum and difference
2/3a -7+7/18a-5 1/6 = 19/18a -73/6
Hence, the simplified expression of 2/3a -7+7/18a-5 1/6 is 19/18a -73/6
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Find the equation of the line.
Use exact numbers
Help me out!
Students of Jesus and Mary were divided into 6 teams for a football game. if the school comprises of 3,900 students,how many students can be found on each team?
Answer:
49 students/7 teams= 7 students per team
49/7=7
i hope this work for you
and sory if im wrang