if you were to factor 25x^2-16 that would equal (5x-4)(5x+4)
Which would be a correct first step to solve the following system of linear equations using the elimination method? 2x+3y=6
-x+3y=15
Answer:
Subtract
Step-by-step explanation:
Subtract to eliminate the y value so all that is left to slove is the x value. Once you have the x value, you can plug it in to find the y value.
Denise had a bag full of 24 cubes consisting of red, blue, and black cubes. She concluded that
the probability of picking a blue cube from the bag without looking is neither a likely nor an
unlikely event. How many blue cubes could there be in the bag?
А 3
B 8
с 12
D 20
Answer:
I think it is 12
Step-by-step explanation:
In a particular game, a spinner with four equally-sized sectors labeled 1, 3, 5, and 6 is spun twice. One turn is considered 2 spins of the spinner. If the sum of the spins is even, you move backward 6 spaces. Otherwise, you move forward 2 spaces. What is the mathematical expectation for the number of spaces moved in one turn? *
Answer:
3 spaces backwards, if you still need it.
Step-by-step explanation:
The mathematical expectation for the game described is -3 spaces, indicating that on average, a player will move 3 spaces backward per turn.
Expected Value Calculation:
To calculate the mathematical expectation for the number of spaces moved in one turn in the game described, we must consider all possible sums of the two spins and their outcomes. These outcomes are moving backward 6 spaces if the sum is even, or moving forward 2 spaces if the sum is odd. With a fair four-segment spinner that has equal likelihood for landing on numbers 1, 3, 5, and 6, we can calculate each possible sum and its associated probability.
Even sum outcomes: (1+3), (1+5), (3+5), (5+1), (3+1), (5+3), (1+6), (3+6), (5+6), and (6+6).Odd sum outcomes: (1+1), (3+3), (5+5), (6+1), (6+3), and (6+5).The probability of spinning an even sum is the number of even outcomes divided by the total number of outcomes (10/16). Similarly, the probability of spinning an odd sum is the number of odd outcomes divided by the total number of outcomes (6/16).
The expected value of moving spaces is therefore calculated by multiplying each sum outcome probability by the spaces moved for that outcome, and then summing these products:
Expected value = (Probability of even sum * -6 spaces) + (Probability of odd sum * 2 spaces)
= (10/16 * -6) + (6/16 * 2)
= (-60/16) + (12/16)
= (-48/16)
= -3
Thus, the mathematical expectation for the number of spaces moved in one turn is -3 spaces.
How did British scientists test Einstein theory of relativity
Answer: Arthur Stanley Eddington's 1919 expedition confirmed Einstein's prediction for the deflection of light by the Sun during the total solar eclipse of 29 May 1919 which helped to cement the status of general relativity as a true theory. Since then many observations have confirmed the correctness of general relativity.
Hope this helps. Also gimme brainliest.
Tina brought two less than one-fourth of the number of t-shirts as Maria. If Tina brought
three shirts, how many did Maria bring?
20 t-shirts
15 t-shirts
9 t-shirts
5 t-shirts
What is the constant rate of change in the function y=5x? *
a.1/5
b.x
c.5
d.1
This is the same as the slope because this is a linear equation
y = 5x is the same as y = 5x+0 which compares to y = mx+b
m = 5 is the slope = rate of change
b = 0 is the y intercept = starting amount
A pizzeria sells 452 pizzas in a day .The price for a pizza is £5.45 and the costs per pizza is £3.05.Calculate the profit if this pizzeria opens for 6 days in the week
Answer:
$807.554098
Step-by-step explanation:
Answer:
Profit is PRICE — COST
so;
[tex]452(5.45 - 3.05) \times 6[/tex]
hope u understand!
Evaluate 1/2 t + 3/8 when t = 1/4
Answer:
1/2
Step-by-step explanation:
1/2 of 1/4 is 1/8
so 1/8 + 3/8 is 4/8
4/8 = 1/2
Answer:
1/2
Step-by-step explanation:
1/2t +3/8
Replace t with 1/4
1/2 x 1/4 + 3/8 (the x is the multiplication symbol)
Then multiply 1/2 and 1/4
1/8 +3/8
Then add.
4/8 = 1/2
P.S.
Hope this helps you and explains the answer! Have a great day and stay safe!
Which equation is perpendicular to 3x - y = 9 and goes through the point (6,6)
Answer:
y = - [tex]\frac{1}{3}[/tex] x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 3x - y = 9 into this form by subtracting 3x from both sides
- y = - 3x + 9 ( divide all terms by - 1 )
y = 3x - 9 ← in slope- intercept form
with slope m = 3
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{3}[/tex], thus
y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation
To find c substitute (6, 6) into the partial equation
6 = - 2 + c ⇒ c = 6 + 2 = 8
y = - [tex]\frac{1}{3}[/tex] x + 8 ← equation of perpendicular line
A company mixes two kinds of cleansers to get a blend they sell for 59 cents a liter. One of the cleansers costs 50 cents per liter, and the other 80 cents per liter. How much of each kind should be mixed to get 2,000 liters of the blend?
Answer:
Cleanser that costs 50 cents is 1400 liters, Cleanser that costs 80 cents is 600 liters.
Step-by-step explanation:
We can solve this by using simultaneous equations:
Let us express the question in terms of equationsLet a be cleanser at 50 cents and let b be the cleanser at 80 cents.
Equation 1: 0.5a + 0.8b = 0.59(a+b)
Equation 2: a + b = 2000
From equation 2, a = 2000 - b (Let's call this equation 3)
2. Substituting equations 2 and 3 in Equation 1:
0.5a + 0.8b = 0.59(a+b)
0.5(2000 - b) + 0.8b = 0.59(2000)
1000 - 0.5b + 0.8b = 1180
0.3b = 180
b = 600
Substitute in equation 3:
a = 2000 - 600
a = 1400
As a note, I formed equation 1 because I know for a fact the cost per liter of a and b. I also know it is sold at 0.59 cents per liter. We are selling 2000 liters in this instance, therefore 0.59(2000) = 1180, which in this case is the selling price.
Final answer:
To create 2,000 liters of a cleanser blend sold at 59 cents per liter, the company should mix 800 liters of the 50-cent cleanser with 1,200 liters of the 80-cent cleanser, using a system of equations.
Explanation:
How to Mix Cleansers for a Desired Cost
To solve this problem, we need to set up a system of equations that reflects the cost and the quantity of the blend we want to obtain. Let's assign x to represent the amount in liters of the 50 cents per liter cleanser and y to represent the amount in liters of the 80 cents per liter cleanser.
Following the premise of the problem, we have two equations:
The total amount of the mixture should be 2,000 liters:
x + y = 2,000
The cost for the blend per liter is 59 cents, so the total cost for 2,000 liters would be 2,000 * $0.59. The sum of the individual costs of cleansers multiplied by their respective volumes should equal this total cost:
0.50x + 0.80y = 2,000 * $0.59
Solving this system of equations, we find that:
x = 800 liters of the 50 cents cleanser
y = 1,200 liters of the 80 cents cleanser
Thus, the company should mix 800 liters of the 50-cent cleanser with 1,200 liters of the 80-cent cleanser to obtain 2,000 liters of the blend sold for 59 cents a liter.
what is the mean ? 2 6 9 8 6 6 3 8
Answer:
6
Step-by-step explanation:
add all up (is 48), then divide by 8
hope this helped :))
Answer:
6
Step-by-step explanation:
To find the mean
Add up all the number
(2+6+9+8+6+6+3+8) = 48
Divide by the number of numbers
48/8 = 6
The diameter of a tennis ball is 2 cm and the diameter of the softball is 1 cm. About how many times as
great is the surface area of a half of the tennis ball as to the surface area of a half of the softball? If
necessary, round to the nearest whole number.
Step-by-step explanation:
It is given that,
The diameter of a tennis ball is 2 cm and the diameter of the softball is 1 cm. So, radius of tennis ball is 1 cm and radius of softball is 0.5 cm.
Both balls are in the shape of sphere. Half of the balls will becomes hemisphere. The surface area of hemisphere is given by :
[tex]A=2\pi r^2[/tex]
Taking ratio of both balls, i.e.
[tex]\dfrac{A_1}{A_2}=\dfrac{r_1^2}{r_2^2}[/tex]
[tex]\dfrac{A_t}{A_s}=\dfrac{r_t^2}{r_s^2}\\\\\dfrac{A_t}{A_s}=\dfrac{1^2}{(0.5)^2}\\\\\dfrac{A_t}{A_s}=4[/tex]
So, the surface area of a half of the tennis ball is 4 times of he surface area of a half of the softball.
The surface area of half of a tennis ball is 4 times greater than the surface area of half of a softball.
To find how many times greater the surface area of half of a tennis ball to that of half of a softball is, we need to use the formula for the surface area of a sphere: Surface Area = 4πr².
Since we are dealing with half-spheres, we can halve this formula, so the surface area of the half-sphere is 2πr².
First, we calculate the surface area for half of a tennis ball. The radius of the tennis ball is 2 cm / 2 = 1 cm. Thus, the surface area is:
Surface Area of Tennis Ball Half-Sphere = 2π(1)² = 2π cm²
Next, we do the same for the softball. The radius of the softball is 1 cm / 2 = 0.5 cm. Therefore, the surface area of half of the softball is:
Surface Area of Softball Half-Sphere = 2π(0.5)² = 0.5π cm²
To find the ratio of the tennis ball surface area to the softball surface area, we divide the two results:
(2π) / (0.5π) = 4
Thus, the surface area of half of a tennis ball is 4 times greater than that of half of a softball.
Can someone please answer this question? Thanks! What is x? 1/2x = 3
Answer:
x=6
Step-by-step explanation:
hope this helps:)
Answer:
It depends. If x is part of the denominator, then x=1/6. If it is x/2, x=6
Step-by-step explanation:
1/(1/3)=3
1/3*1/2=1/6
x/2=3
2*3=6
What is the simplified expression that is equivalent to (3x^3)^2 . (25x^6)1/2 ?
Answer:
9x⁵ · 25x⁶
Step-by-step explanation:
(3x³)²·(25x⁶)·[tex]\frac{1}{2}[/tex] =9x⁵ · 25x⁶
Please mark me as the brainliest
Final answer:
The simplified expression equivalent to ((3x^3)^2 · (25x^6)^{1/2}) is 45x^9. This is obtained by applying exponent rules, such as power to a power and multiplying terms with the same base resulting in the addition of their exponents.
Explanation:
The expression in question is (3x^3)^2 · (25x^6)^{1/2}. To simplify this expression, we need to apply the exponent rules. When we raise a power to a power as in (a^m)^n, the exponents are multiplied, so (3x^3)^2 becomes 3^2 · x^{3×2}, which simplifies to 9x^6.
Next, taking the square root, which is the same as raising to the power of 1/2, we apply it to (25x^6)^{1/2}. The square root of 25 is 5, and raising x^6 to the 1/2 power gives x^{6×1/2}, or x^3. Therefore, we have 5x^3 as the simplified result of (25x^6)^{1/2}.
Multiplying these results together, we combine 9x^6 and 5x^3. When we multiply terms with the same base, we add their exponents, therefore we get 9×5 · x^{6+3}, resulting in 45x^9.
What is the solution to the equation 2x+4 – 12 = 20?
N
X=2
X=9
Answer:
x=1 .
Step-by-step explanation:
b on edge 2020
What should you NOT use a loan to purchase?
A car
A house
Tuition for higher education
Airline tickets to your dream vacation
Answer:
Airline tickets
Step-by-step explanation:
The other three could be considered important. Your dream vacation may seem important to you, but is something you should only do if you can pay for it. Never go in debt for it.
While loans can be beneficial for purchasing items that generate a return or are necessary, such as a house, car, or higher education, it's generally unwise to take out a loan for things like vacations, which do not provide a return on investment.
Explanation:While it can be tempting to use a loan for many things, there are certain items that are typically seen as poor investments. A house, car, and higher education tuition are often considered acceptable things to take out a loan for, as they can provide a return on your investment and can be seen as necessary for longer term wealth-building. On the other hand, an airline ticket for a vacation is generally not a recommended use for a loan.
The primary reason being that it is not an investment that will appreciate in value or generate income. In fact, it's a depreciating asset because once you've taken the vacation, you have nothing to show for your money, except for the experience and memories. Additionally, taking a loan for such purposes might lead to a situation where you may struggle to repay the debt once you are back from vacation, which can lead to cascading debts and bad credit.
Learn more about Loan Usage here:https://brainly.com/question/29738352
#SPJ2
Which triangle side lengths form a right triangle? Choose all that apply.
5,6,7
6,8,14
8.15, 17
10, 12, 15
15,20.25
16, 18, 20
Answer:
all
Step-by-step explanation:
Check all of the expressions that are equal to the one below.
(7-11) • (5)
O
A. (5) • 7 + (5) • (-11)
B. -(-7 +11) • (5)
C. (5) • 7 -(5) • 11
OD. (7 +11) • (5)
A square with diagonals is shown. The distance from one point to the middle point is 3. The length from the center point to another point is 3. What is the approximate side length of the square?
Answer:
4.24
Step-by-step explanation:
Since it is the midpoint, it means that the entire diagonal will measure twice, that is 3 * 2 = 6
To calculate the length of the sides, we can do it by means of Pythagoras, since it is a square a = b
c ^ 2 = a ^ 2 + b ^ 2
c ^ 2 = 2 * a ^ 2
6 ^ 2 = 2 * a ^ 2
a ^ 2 = 36/2
a = 4.24
therefore, it means that the sides of the square measure 4.24
Answer:
Answer: C (3rd option)
Step-by-step explanation:
E2020
evalulate 3*5-2*(3+2)
Answer:
5
Step-by-step explanation:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Following the order, first is parenthesis:
3 · 5 - 2(5)
Multiplication:
15 - 10
5
3. Who set up their equation correctly for the following question?
Tamara's backyard is rectangular with a length of 5/2 miles. If the area of
the backyard is 3/9 square miles, what is its width? *
Answer:
Step-by-step explanation:100,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000$
Final answer:
The correct width of Tamara's backyard is calculated by dividing the area by the length, resulting in a width of 2/15 miles.
Explanation:
The student's question involves setting up an equation to find the width of a rectangular backyard given its length and area. To find the width, we use the formula for the area of a rectangle, which is Length × Width = Area. Tamara's backyard has a length of 5/2 miles and an area of 3/9 square miles. Setting up the equation correctly, we have:
(5/2 miles) × Width = 3/9 square miles
To find the width, we divide both sides of the equation by the length:
Width = (3/9 square miles) / (5/2 miles)
After simplification, which we can do by multiplying by the reciprocal of 5/2, we get:
Width = (3/9) × (2/5) miles
Width = (3 × 2) / (9 × 5) miles
Width = 6/45 miles
After further simplification:
Width = 2/15 miles
Therefore, the correct width of Tamara's backyard is 2/15 miles.
For 8x2 - 2x-3=0, a = 8, b=_
Answer:
A = 8 B = -2 C = -3
Step-by-step explanation:
The standard form for a quadratic equations is
Ax^2 + Bx +C =0
8x2 - 2x-3=0
A = 8 B = -2 C = -3
Solve y = x2 - 18 for x.
Answer:
Step-by-step explanation:
assuming that x2 = x², then the equation is y= x²-18
y= x²-18
y-18=x²
[tex]\sqrt{y-18}=\sqrt{x^{2} }[/tex]
[tex]\sqrt{y-18}= x\\[/tex]
so x = [tex]\sqrt{y-18\\}[/tex]
ASAP for brainlist first correct answer
Answer:
314.16 : 100
Step-by-step explanation:
brainliest?
Answer: about 1:8
Step-by-step explanation: volume of the cone is about 314.16 and the volume of the square pyramid is about 2500 and 314.16 is about 314
314/2500 = .1256 or .125 = 1/8
Help Me Please!!!!1
A basketball has a diameter of 14 inches. If it fits inside a cube-shaped box that has a side length of 13
inches, what is the volume, rounded to the nearest hundredth of a cubic inch, of the space inside the box
that is not taken up by the basketball?
Answer:
The space inside the box = 2197 in³ - 1436.76 in³ is 760.245 in³.
Step-by-step explanation:
Here we have the volume of the cube box given by the following relation;
Volume of cube = Length. L × Breadth, B × Height, h
However, in a cube Length. L = Breadth, B = Height, h
Therefore, volume of cube = L×L×L = 13³ = 2197 in³
Volume of the basketball is given by the volume of a sphere as follows;
Volume = [tex]\frac{4}{3} \pi r^3[/tex]
Where:
r = Radius = Diameter/2 = 14/2 = 7in
∴ Volume of the basketball = [tex]\frac{4}{3} \times \pi \times 7^3 = 1436.76 \ in^3[/tex]
Therefore, the space inside the box that is not taken up by the basketball is found by subtracting the volume of the basketball from the volume of the cube box, thus;
The space inside the box = 2197 in³ - 1436.76 in³ = 760.245 in³.
WILL GIVE BRAINLIEST
ANSWER IN THE NEXT 20 SECONDS FOR BONUS POINTS
Answer:
p^2-3
Step-by-step explanation:
Does the point (5, 10) satisfy the inequality y>x+5
john runs 3 miles in 1/2 of an hour at the same pace how many miles will he run in 1 hour
Answer:
6
Step-by-step explanation:
3miles=30mins
? miles=60mins
=6miles
Find the value of c that completes the square for x2+12x+c .
PLS HELP NOW
What is the area of the rectangle, in square feet?
9 ft
20 ft
A.29
B.58
C.120
D.180
Answer:D,180
Step-by-step explanation:
Answer:
9 x 20ft = 180
If one of those values 8ft and 20ft is the diagonal then we deduct the square of thise numbers being √400 - √81 = √309 and find √309 square of 17.57ft
17.57 x 9 = 158.13
so √158.12 = 12.57
and √162 = 12.72
But your question was just a case of finding how to do area and for that we use L x W to find area
A = 9 x 20 = 180ft^2
Step-by-step explanation: