7. *
Which of the following shows the
simplification of 0.5 x (4a + 6b) using the
Distributive Property?
A 2a + 3b
B 3a + 2b
C 4.5a + 6.5b

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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Answer:

<ZXY <YXZ and <X

Step-by-step explanation:

don't forget to put the angle sign. it's the blue button all the way on the left in the picture. I used the less then sign in my answe above.

Reason: Multiply both sides by 7

The inequality sign doesn't flip. It only flips if you multiplied both sides by a negative number.

Answer:

The price of the shirt is $24.63.

Step-by-step explanation:

Let's assume the price of the shirt is x. Then the price of the wallet will be x - 15. We know that the total cost before tax is 34.26, so we can set up the equation:

x + (x - 15) = 34.26

Simplifying, we get:

2x - 15 = 34.26

Adding 15 on both sides:

2x = 49.26

Dividing by 2:

x = 24.63

Therefore, the price of the shirt is $24.63.

Each silver bead costs $0.50, and each green bead costs $1.

Let's assume the cost of each silver bead is 's' dollars, and the cost of each green bead is 'g' dollars.

According to the given information, the necklace requires 25 silver beads and 15 green beads, and the bracelet requires 10 silver beads and 5 green beads.

The total cost of the necklace beads is $27.50, and the total cost of the bracelet beads is $10.

Using this information, we can set up the following system of equations:

25s + 15g = 27.50 (Equation 1)

10s + 5g = 10 (Equation 2)

We can solve this system of equations using any appropriate method, such as substitution or elimination.

Let's use the elimination method to solve the system:

Multiplying Equation 2 by 3, we get:

30s + 15g = 30 (Equation 3)

Subtracting Equation 3 from Equation 1:

25s + 15g - (30s + 15g) = 27.50 - 30

-5s = -2.50

s = 0.50

Now, substituting the value of s into Equation 2:

10(0.50) + 5g = 10

5 + 5g = 10

5g = 5

g = 1

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It will take 15 days for the hair to grow from 12mm to 16.5mm

By "average rate" in this context, we mean the typical or usual amount of hair growth per unit of time, which is often measured in millimeters per day. This rate can vary slightly depending on factors such as age, gender, genetics, diet, and overall health.

Let's first find out how much the hair needs to grow by subtracting its initial length (12mm) from its target length (16.5mm):

16.5mm - 12mm = 4.5mm

Now we can divide this growth by the average rate of hair growth to find the number of days it will take to grow this much:

4.5mm ÷ 0.3mm/day = 15 days

Therefore, it will take 15 days for the hair to grow from 12mm to 16.5mm.

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If Lindsey walks 4 miles in 49 minutes, then Lindsey walk in 76 minutes: 6.204 miles

The distance covered by the object is equal to the product of the speed of the object and the time required for it.

Distance = Time x speed

We can use proportion to solve this problem, since we know that Lindsey's speed (in miles per minute) is constant:

4 miles / 49 minutes = x miles / 76 minutes

To solve for x, we can cross-multiply and simplify:

4 miles * 76 minutes = 304 miles-minute

49 minutes * x miles = 49x miles-minutes

So:

49x miles-minutes = 304 miles-minutes

x = 304 miles-minutes / 49 minutes

x ≈ 6.204 miles

Therefore, Lindsey will walk approximately 6.204 miles in 76 minutes.

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Answer:

B. Yes, because it passes the vertical line test.

Step-by-step explanation:

The is a function.  It has a one to one correspondence

It will pass the vertical line test

Answer: 2.25

Step-by-step explanation:

9 divided by 4 = 2.25

4 sides on the shape

2.25 cm on one side!

The exponential function showing the relationship between t and y is y = 310000(1.048)⁺

From the question, we have the following parameters that can be used in our computation:

Initial population = 310000

Rate of growth = 4.8%

These parameters can be represeted as

a = 310000 and r = 4.8%

An exponential function is represented as

y = a(1 + r)⁺

Substitute the known values in the above equation, so, we have the following representation

y = 310000 (1 + 4.8%)⁺

Evaluate

y = 310000(1.048)⁺

Hence, the function is y = 310000(1.048)⁺

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Answer:

20r-23p

Step-by-step explanation:

Answer:

The point will have both a positive x value and a positive y value.

Step-by-step explanation:

Since the question leads me to believe this is multiple choice but there are no choices provided, I will do my best to guess what it is wanting.

Answer:

\(y=-\frac{3}{2}\)

Step-by-step explanation:

\(\text{y = kx where k is a constant.}\)

\(6 = -4k\\k = \frac{6}{-4} =-\frac{3}{2}\)

Answer:

D. 8 1/3

Step-by-step explanation:

solve each traingle

the bottom one:

the line that cut the traingle, made each angle is 90°

10/sin90° = 5/sin?

sin? = 5sin90°/10 = 1/2

the angle is sin^-1 (1/2) = 30°   ⇒

10/sin90° = ?/sin60°

? = 10sin60°/sin90° = 5√3   ⇒

12/sin90° = 5√3/sin?

sin? = 5√3 sin90°/12 = 5√3 /12

? ≈46°

180 - (46+90) = 44°   ⇒

x/sin44° = 12/sin90°

x = 12sin44°/sin90° = 8.3

x = 8 1/3

Answer:

1/3a - 8

Step-by-step explanation:

Distribute negative sign:

2/3a - 5 + -1 (1/3a + 3)

2/3a + -5 + -1 (1/3a) + (-1)(3)

2/3a + -5 + -1/3a + -3

Combine like terms:

2/3a + -5 + -1/3a + -3

(2/3a + -1/3a) + (-5 + -3)

= 1/3a - 8

Answer:

($8500)(0.0725)(4)

The expression f(x) = 8500*0.0725*x  represents the b best scenario. None of them are correct.

Equation that fit the scenario of He deposited $8500 in a 4-year certificate of deposit that earns 7.25% per year, to determine.

Equation are link of variables that contain equal sign.

Here,
He deposited $8500 in a 4-year certificate,
f(x) = 8500
Earns 7.25% per year,
f(x) = 8500*0.0725*4

Thus, the expression f(x) = 8500*0.0725*x  represents the b best scenario.

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Answer:

a) 26.2cm

b) 13.8 cm

please mark brainliest

Step-by-step explanation:

a) perimeter = 2(9+4.1) = 2(13.1) = 26.2 cm

b) perimeter = 3.6+3+7.2 =13.8 cm

Answer:

39/10

Step-by-step explanation:

.......................

For A (15) (0.4) (0.6) (15-i) For B. Consequently, there is a 0.196 percent chance For C. As a result, there is a roughly 0.382 percent chance

The number of successes in a certain number of independent trials with the same chance of success are described by the binomial distribution, which is a probability distribution. The two parameters n and p define the binomial distribution. The parameters n and p represent the number of trials and the probability of success in each trial, respectively.

Let's say that 40 percent of recent college grads want to earn a graduate degree. We choose fifteen recent college grads at random.

a. Using the binomial distribution formula, we can determine the likelihood that no more than four of the college grads intend to pursue a graduate degree:

P(X ≤ 4) = Σ(i=0 to 4) Choose (15) (0.4) (0.6) (15-i)

where X represents the proportion of recent college graduates who intend to pursue a graduate degree. We can determine that using a calculator or software that:

P(X ≤ 4) ≈ 0.0001

As a result, there is a roughly 0.0001 chance that no more than four of the college graduates will go on to get a graduate degree.

b. We can once more use the data to determine the likelihood that precisely seven of the college grads intend to pursue a graduate degree.

use the formula for the binomial distribution:

P(X = 7) = (15 choose 7) (15 choose 7) (0.4)⁷ (0.6⁸

We can determine that using a calculator or software that:

P(X = 7) ≈ 0.196

C . The cumulative binomial distribution function can be used to calculate the likelihood that at least six but no more than nine of the college graduates intend to pursue a graduate degree:

P(6 X 9) = (i=6 to 9) (15 choose I (0.4)i (0.6) (15-i)

We can determine that using a calculator or software that:

P(6 ≤ X ≤ 9) ≈ 0.382

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Take note of the domain of possible solutions:

• √(2x + 1) is defined for 2x + 1 ≥ 0, or x ≥ -1/2

• √(x + 1) is defined for x + 1 ≥ 0, or x ≥ -1

So any solutions to this equation must fall in the interval x ≥ -1/2, or [-1/2, ∞).

To solve, move one of the root expressions to the right side, then square both sides:

√(2x + 1) = 2 + √(x + 1))

[√(2x + 1)]² = [2 + √(x + 1))]²

2x + 1 = 4 + 4 √(x + 1) + (x + 1)

Simplify this to

x - 4 = 4 √(x + 1)

and now square both sides again and solve for x :

[x - 4]² = [4 √(x + 1)]²

x ² - 8x + 16 = 16 (x + 1)

x ² - 8x + 16 = 16x + 16

x ² - 24x = 0

x (x - 24) = 0

x = 0   or   x - 24 = 0

x = 0   or   x = 24

Both of these solutions are greater than -1/2; however, if x = 0, we get

√(2×0 + 1) - √(0 + 1) = √1 - √1 = 1 - 1 = 0 ≠ 2

so the only solution is x = 24.

Answer:

• √(2x + 1) is defined for 2x + 1 ≥ 0, or x ≥ -1/2

• √(x + 1) is defined for x + 1 ≥ 0, or x ≥ -1

So any solutions to this equation must fall in the interval x ≥ -1/2, or [-1/2, ∞).

To solve, move one of the root expressions to the right side, then square both sides:

√(2x + 1) = 2 + √(x + 1))

[√(2x + 1)]² = [2 + √(x + 1))]²

2x + 1 = 4 + 4 √(x + 1) + (x + 1)

Simplify this to

x - 4 = 4 √(x + 1)

and now square both sides again and solve for x :

[x - 4]² = [4 √(x + 1)]²

x ² - 8x + 16 = 16 (x + 1)

x ² - 8x + 16 = 16x + 16

x ² - 24x = 0

x (x - 24) = 0

x = 0   or   x - 24 = 0

x = 0   or   x = 24

Both of these solutions are greater than -1/2; however, if x = 0, we get

√(2×0 + 1) - √(0 + 1) = √1 - √1 = 1 - 1 = 0 ≠ 2

so the only solution is x = 24.

According to the information, the vertex at the top left of the parallelogram is (4, 8.25). Thus, the other two vertices of the parallelogram are (2, 5), (9, 5), (7, 8), and (4, 8.25).

To find the vertex of the parallelogram we can use the point-slope form of a line: y - y1 = m(x - x1), where,

For the side sloping up from left to right, we can use the point (2, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:

Simplifying, we get:

To find the point where this line intersects the top side of the parallelogram, we can use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (2, 5) is 5 units away from the intersection point in the x-direction, so we can add 5 to the x-coordinate to find the intersection point. Plugging in x = 7 into the equation above, we get:

Therefore, the vertex at the top right of the parallelogram is (7, 8).

For the side sloping down from left to right, we can use the point (9, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:

Simplifying, we get:

To find the point where this line intersects the top side of the parallelogram, we can again use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (9, 5) is 5 units away from the intersection point in the x-direction, so we can subtract 5 from the x-coordinate to find the intersection point. Plugging in x = 4 into the equation above, we get:

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The exterior angle of the regular polygon = 60° (option D)

An hexagon has 6 sides

The formula for finding the exterior angle of a regula polygon = 360/n

where n = number of sides of the polygon

Here, n = 6

The exterior angle of the regular polygon = 360/6

The exterior angle of the regular polygon = 60° (option D)

Answer:

74x + 35y = c

Step-by-step explanation:

Each adult ticket costs $74 and Pablo is purchasing x amount of tickets, so 74 multiplied by x would be the total cost for the adult tickets. Each youth ticket costs $35 and Pablo is puchasing y amount of tickets, so 35 multiplied by y would be the total cost for youth tickets. Then you add the two sums together to find the total cost of all of the tickets.

Answer:

d. C = 74x + 35y

Step-by-step explanation:

I took the test and got the answer right here is the screen shoot  to prove it

Thus the domain is 0 ≤ Domain ≤ 28 and the range is 0 ≤ range ≤ 150.

A function defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

The independent variable = domain

The dependent variable = Range

We are given a graph where the x-axis contains the radius value and the y-axis contains the circumference value.

We can write the function as:

f(x) where x can be 4, 8, 12, 16, 20, 24, 28, 32, 36

f(0) = 0

f(4) = 22.5

f(8) = 52.5

f(12) = 75

f(16) = 105

f(20) = 127.5

f(24) = 150

The domain is between 0 to 150 and the range is between 0 and 28.

Thus the domain is 0 ≤ Domain ≤ 28 and the range is 0 ≤ range ≤ 150.

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Answer:

s > 118 2/3

Step-by-step explanation:

answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

Given:

The graph of a function is given.

To find:

The point that is the relative maxima on the interval x = –1 and x = 2 in the graph.

Solution:

Relative maxima: It is the maximum point of a function over a short interval.

From the given graph it is clear that the graph of the function over the interval x = –1 and x = 2 has a relative maxima at (0,0).

Clearly, (0,0) is represented by point a.

So, the point a is the relative maxima on the interval x = –1 and x = 2 in the graph.

Therefore, the correct option is A.

Answer:

1728

Step-by-step explanation:

Regular price quantity is $42,500, Diana earns 6.75% of this, so she earns:

42,500 x 0.0675 = 2868.75

On sale price quantity is $22,000, Diana earns 4.3% of this, so she earns:

22,000 x 0.043 = 946

The total is 2868.75 + 946 = 3814.75

Answer is $3,814.75