If 2 less than five times a certain number is 1 more than twice the same number, which equation can be used to find the number?
A. 5(x - 2) = 2x + 1
B. 5(x - 2) = 2(x + 1)
C. 5x - 2 = 2x + 1
D. 2 - 5x = 1 + 2x
E. 5x + 1 = 2x - 2

Answer:

The system of inequalities that represents this situation is:

x+y≥10

6x+4y≤50

Step-by-step explanation:

As the statement says that Laura wants to provide one party favor per person to at least 10 guests, the first inequality would indicate that the number of stuffed animals plus the number of toy trucks should be equal or greater than 10:

x+y≥10

Also, the statement indicates that miniature stuffed animals cost $6.00 each and the toy trucks cost $4.00 each and that Laura has $50. From this, you would have an inequality that indicates that 6 for the number of miniature stuffed animals and 4 for the number of toy trucks would be equal or less than 50:

6x+4y≤50

The answer is that the system of inequalities that represents this situation is:

x+y≥10

6x+4y≤50

Answer:

15) 1/3

18) 1/2

21) 25/26

Step-by-step explanation:

15) 2/6=1/3

18) 3/6=1/2

21) 25/26

Answer:

Positive

Step-by-step explanation:

Answer:

POSITIVE

Step-by-step explanation:

It's positive because the slope is rising like this /

If it was negative it would be declining like this \

hope that makes sense but I'm 1000% sure it's positive

Answer:

10

Step-by-step explanation:

yellow

6+6+3=15

so

for green

4+4+2=10

Using percentages we calculate in the beginning there were 125 jellybeans in the jar.

Let the number of jellybeans in the jar was x.

Now student ate 20% of the jellybeans.

Number of jellybeans students ate = 20% of x = 0.2x

Number of jellybeans left = x - 0.2x = 0.8x

But the number of jellybeans is given as 100.

Therefore 0.8x = 100

or, x = 100 /0.8 = 125

Hence there were 125 jellybeans in the jar.

The English word "percentage" derives from the Latin phrase "per centum," which means "by the hundred." Percentages are fractions with a denominator of 100.

In other words, that is a relationship where it is always assumed that the value of the whole is 100.

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Your answer is 0.19.

I hope this helps you get a good grade on your test!!

Answer: 4.)

Step-by-step explanation: An undefined slope is a vertical line.

The circumference of the circle in terms of π is 8π yards.

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.

Perimeter refers to the total outside length of an object,

here, we have,

the diameter of the circle = 8yrd

the circumference of the circle in terms of π

=π  * 8

= π8 yrd.

Hence, The circumference of the circle in terms of π is 8π yards.

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The Hermite curve with four control points P0(0,0), P1(1,1), P2(2,-1), and P3(3,0) has tangent vectors P0'(1,1) and P3'(1,1) at the endpoints. To determine the intermediate points on the curve at t = 1/3 and t = 2/3, we can use the Hermite interpolation formula.

The Hermite interpolation formula allows us to construct a curve based on given control points and tangent vectors. In this case, we have four control points P0, P1, P2, and P3, and tangent vectors P0' and P3'.

To find the intermediate point at t = 1/3, we use the Hermite interpolation formula:

P(t) = \((2t^3 - 3t^2 + 1)P0 + (-2t^3 + 3t^2)P3 + (t^3 - 2t^2 + t)P0' + (t^3 - t^2)P3'\)

Substituting the given values:

\(P(1/3) = (2(1/3)^3 - 3(1/3)^2 + 1)(0,0) + (-2(1/3)^3 + 3(1/3)^2)(3,0) + ((1/3)^3 - 2(1/3)^2 + (1/3))(1,1) + ((1/3)^3 - (1/3)^2)(1,1)\)

Simplifying the equation, we can find the coordinates of the intermediate point at t = 1/3.

Similarly, for t = 2/3, we use the same formula:

\(P(2/3) = (2(2/3)^3 - 3(2/3)^2 + 1)(0,0) + (-2(2/3)^3 + 3(2/3)^2)(3,0) + ((2/3)^3 - 2(2/3)^2 + (2/3))(1,1) + ((2/3)^3 - (2/3)^2)(1,1)\)

Calculating the equation yields the coordinates of the intermediate point at t = 2/3.

In this way, we can use the Hermite interpolation formula to determine the intermediate points on the Hermite curve at t = 1/3 and t = 2/3 based on the given control points and tangent vectors.

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Answer:

Slope = -3

Step-by-step explanation:

The slope is the change in y over the change in x

The slope formula is m=y₂-y₁/x₂-x₁ (y over x)

So, plug in your coordinates (the subscript represents the order in which your points are going to be subtracted in)

So, you would get m=-2-4/1-(-1)

Simplify (first subtract the top, then subtract the bottom)

This would get you to -6/2 (remember your rules: a negative and a negative makes a positive)

-6/2 would get you to -3

Answer:

300

Step-by-step explanation:

(20+10) • (20-10)

= 30 • 10

= 300

Answer:

300

Step-by-step explanation:

(20+10)·(20-10)

1. Simplify: 30·10

2. Multiply: 300

Answer:

48

Step-by-step explanation:

48.1

for decimals:

0-4 keep the number the same

5-9 rounds up

Answer:

lateral area=37.68(approximately 38)

Total Surface Area =

Step-by-step explanation:

AL=2πrh

AL=2×3.14×6/2×2(Because it is a diameter and we want a radius)

Al=37.68 in squared

.

Answer:

C

Step-by-step explanation:

This one I did already You're welcome

The probability that 3 of the next 5 days have two accidents is approximately  0.225. We can use the Poisson distribution to model the number of traffic accidents on each day, with a mean of 2. Let X be the number of accidents on a single day, then X ~ Poisson(2).

(a) To find the probability that 3 of the next 5 days have two accidents, we can use the binomial distribution since we are interested in the number of successes (days with two accidents) in a fixed number of trials (5 days). Let Y be the number of days with two accidents in 5 days, then Y ~ Binomial(5, P), where P is the probability of having two accidents on a single day.

Since X ~ Poisson(2), we know that P(X = 2) = e^(-2) * 2^2 / 2! = 0.2707 (using the Poisson probability formula). Therefore, P = 0.2707 is the probability of having two accidents on a single day.

Using the binomial probability formula, we can find the probability of having exactly 3 days with two accidents in 5 days:

P(Y = 3) = (5 choose 3) * 0.2707^3 * (1 - 0.2707)^2 = 0.225

Therefore, the probability that 3 of the next 5 days have two accidents is approximately 0.225.

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Answer:

a = -7 should be it

\(a + ( - 5) = ( - 12) \\ a = - 12 + 5 \\ a = - 7\)

The estimator Wn converges in probability to the true parameter μ. In this case, we are given that Σn(Wn - μ) converges in distribution to a standard normal distribution Z.

Since Σn(Wn - μ) converges in distribution to Z, we can use this information to prove consistency.

By the Central Limit Theorem, we know that the sum Σn(Wn - μ) follows a normal distribution with mean 0 and variance σ^2/n, where σ^2 is the variance of the estimator Wn.

Now, as n approaches infinity, the variance σ^2/n tends to 0. This implies that the distribution of Σn(Wn - μ) becomes more concentrated around 0.

Since Z ∼ N(0,1), we can conclude that P(|Σn(Wn - μ)| > ε) → 0 as n approaches infinity.

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The answer will be B. The y-intercept of the graph is -6 while the slope is \(\frac{2}{3}\) as the line rises by 2 and run by 3

Answer:

-33

Step-by-step explanation:

With the brackets in an equations, it just means you are going to be solving within there first before moving on.

For any equations such as this, you'll want to follow PEMDAS.

Parenthesis (x)
Exponents \(x^{2}\)
Multiplication x * y
Division x/y or x÷y or \(\frac{x}{y}\)
Addition x+y
Subtraction x-y

To start, we're just going to take the bracket equations 2+4 x 2 + (10 - 5)

\(2+4*2+5/5\)

Moving down PEMDAS we have no exponents, but multipication and division, whichever comes first in the equation.

4*2 = 8

5/5 = 1

2+8+1 = 11

-3[11] = (You use multiplication here) -33

-39

Step-by-step explanation:

\({ \blue{ \sf{ - 3{[2 + 4 \times 2 + (10 - 5) \div 5]}}}}\)

\({ \blue{ \sf{ - 3{[6 \times 2 + (10 - 5) \div 5]}}}}\)

\({ \blue{ \sf{ - 3{[12 + (10 - 5) \div 5]}}}}\)

\({ \blue{ \sf{ - 3{[12 + (5) \div 5]}}}}\)

\({ \blue{ \sf{ - 3{[12 + 1]}}}}\)

\( { \blue{ \sf{ - 3[13]}}}\)

\({ \red{ \sf{ - 39}}}\)

Assume that Peter will invest $x

Then he will invest 1/2 x with a rate of 6% and 1/2 x with a rate of 14%

Since the rule of the interest is

P is the amount of investment

R is the rate in decimal

T is the time

For the first account

For the second account

Then the interest of each account is

Since the total interest is $500, then add I1 and I2, equate the sum by 500

Divide each side by 0.10

Then he invested in each account 5000/2 = $2500

He invested a total of $5000

Answer:

8 units.

Step-by-step explanation:

Given points:

Graph the given points (x, y) on the coordinate plane.  (See attachment).

Distance between two points

\(\boxed{d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}\)

where (x₁, y₁) and (x₂, y₂) are the endpoints.

Substitute the given points into the distance formula and solve for d:

\(\implies d=\sqrt{(-6-2)^2+(3-3)^2}\)

\(\implies d= \sqrt{(-8)^2+(0)^2}\)

\(\implies d=\sqrt{64+0}\)

\(\implies d=\sqrt{64}\)

\(\implies d=8\; \sf units\)

Therefore, the distance between the two given points is 8 units.

As the two points have the same y-value, the two points are on a horizontal line. Therefore, the distance between them can be calculated by simply determining the difference in their x-values:

\(\implies 2-(-6)=8\; \sf units\)

Answer:

The other endpoint is (11,-9)

Step-by-step explanation:

Midpoint Formula

\(\large\boxed{(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )}\)

We already know the another endpoint which is (3,5). We substitute x = 3 and y = 5 in the formula. You can substitute in x1, x2 or y1, y2. I'll substitute in first x-term and first y-term instead.

\(\large{\begin{cases} \frac{3+x}{2}=7\\\frac{5+y}{2}=-2 \end{cases}}\)

Because sum of two x-coordinate (along with y-coordinate) divided by two must equal to the midpoint (Let's say that you get the value of midpoint when using midpoint formula.)

Solve the equation for both terms.

\(\large{\begin{cases} \frac{3+x}{2}=7\\\frac{5+y}{2}=-2 \end{cases}}\)

Cancel the denominator by multiplying the whole equation by 2.

\(\large{\begin{cases} \frac{3+x}{2}(2)=7(2)\\\frac{5+y}{2}(2)=-2(2) \end{cases}}\\\large{\begin{cases} 3+x=14\\ 5+y=-4 \end{cases}}\)

Isolate x-term and y-term.

\(\end{cases}}\\\large{\begin{cases} 3+x=14\\ 5+y=-4 \end{cases}}\\\end{cases}}\\\large{\begin{cases} x=14-3\\ y=-4-5 \end{cases}}\\\end{cases}}\\\large{\begin{cases} x=11\\ y=-9 \end{cases}}\)

Therefore, when x = 11, y = -9. We can write in ordered pair as (11,-9). The ordered pair (11,-9) is our other endpoint of the line segment. This can be proved by using the distance formula between midpoint and endpoints.

Note: The distance of (3,5) and (7,-2) must equal to the distance of (11,-9) and (7,-2)

Answer:

1.  RTS

2. RTS

3. 85, 180

4. 19

Step-by-step explanation:

1. The vertical angles are equal to each other.

2. The sum of the interior angle in a triangle is always 180 degrees.

If a zip-code is any 5-digit number, where each digit is an integer 0 through 9. For example, 92122 and 00877 are both zip-codes. There are exactly 30,240 zip codes that have all different digits.

To find the number of zip codes with all different digits, we need to count the number of ways we can choose 5 digits from the set of integers 0 through 9 without repetition.

The first digit can be chosen in 10 ways (any of the 10 digits). The second digit can be chosen in 9 ways (any of the remaining 9 digits after choosing the first digit). The third digit can be chosen in 8 ways (any of the remaining 8 digits after choosing the first two digits).

The fourth digit can be chosen in 7 ways (any of the remaining 7 digits after choosing the first three digits). The fifth digit can be chosen in 6 ways (any of the remaining 6 digits after choosing the first four digits). Therefore, the total number of zip codes with all different digits is:

10 × 9 × 8 × 7 × 6 = 30,240

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Answer:

$1.75

Step-by-step explanation:

Honestly, you don't really have to pay attention to the other numbers or ratios on the graph until you think you found your answer. Pay attention to whichever ratio you choose and follow these steps:

1. Identify which number is the cost and which is the amount of pens bought

2. Set it up as a division problem by using the cost and the dividend and the amount of pens as the divisor

3. After you have your answer, plot your ratio of 1:(your product) and if the line that was graphed is straight, you are correct.

PS. I used the ratio (2:3.5) to solve this problem

e). 60

f). \(\frac{4}{9}\)

Answer:

See Explanation

Step-by-step explanation:

Given

\(a = b\)

Required

Match proper type of equality

Each of the equality properties can easily be identified with their names; For multiplication property of equality, same term must be multiplied on both sides;

For addition, same term  must be added on both sides;

Same thing implies for division and subtraction

Multiplication:

\(a(c) = b(c)\)

Subtraction

\(a - c = b - c\)

Addition

\(a + c = b + c\)

Division

\(a/c = b/c\)