Hector spent 3/4 of his money the day after he cashed his paycheck of $50. Let m represent the amount of money Hector spent.

Which equation matches the word problem?


How much money did Hector spend?

The value of Surface area of right cone with radius of 8 and 14 height is,

⇒ SA = 606.31

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Radius of cone = 8

And, Height = 14

We know that;

Surface area of right cone is,

SA = πr (r + √h² + r²)

SA = 3.14 × 8 (8 + √14² + 8²)

SA = 606.31

Thus, The value of Surface area of right cone with radius of 8 and 14 height is,

⇒ SA = 606.31

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The length of the segment formed by the two given endpoints with coordinates coordinates (5, 2) and (–6, 2) is;

d = 11

Formula for distance between two coordinates is given as;

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

We are given the coordinates (5, 2) and (–6, 2).

This means that;

x₁ = 5 and x₂ = -6

y₁ = 2 and y₂ = 2

Thus;

d =  √[(-6 - 5)² + (2 - 2)²]

d = √(121 + 0)

d = √121

d = 11

      In conclusion, the length of the segment formed by the two given endpoints is; d = 11

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The number of weeks it will take Hector to reach his goal of a 10-kilometer run will be 15 weeks.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Hector is training for a race that is 10 kilometers long. On Saturday he ran 2.5 km. He plans to add 0.5 km to his distance every Saturday.

Let 'x' be the number of weeks. Then the equation is given as,

2.5 + 0.5x = 10

0.5x = 7.5

x = 15

The number of weeks it will take Hector to reach his goal of a 10-kilometer run will be 15 weeks.

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The given graph is for a piecewise function consisting of two intervals:

(1) x ≤ 1 ⇒⇒⇒ the graph in this interval like a cubic function.

(2) x > 1 ⇒⇒⇒ the graph in this interval like a quadratic function

By comparing to the given options

The answer is option c.

Answer:

Option C is correct.

Explanation:

A piece-wise function is a function which is defined by multiple sub-functions, each sub-function applying to a certain interval of the main function's domain.

From the graph we can see that the function is made up of 2 pieces.

Solid dot means- Including

Open-dot means - not- including.

As we can see that the boundary lines are at x=1.

We have to look each line separately to determine each equation:

when [tex]x>1[/tex], it gives the function [tex]y=x^2+4[/tex] and

when [tex]x\leq 1[/tex], it gives the function [tex]y =x^3-2[/tex].

So, the piece-wise function is:

[tex]y=\left \{ {{x^3-2}, x\leq1 \atop {x^2+4}, x>1} \right.[/tex]

When lithium and phosphorus combine to form lithium phosphide, three lithium cations (Li+) combine with one phosphide anion (P₃-) to balance the charges and form a neutral compound, Li₃P.

an ionic compound is a chemical compound composed of ions held together by electrostatic forces termed ionic bonding.

The correct description of the ionic compound lithium phosphide, with the chemical formula Li3P, is "Lithium ions have 1 positive charge, and phosphorus ions have 3 negative charges."

This is because lithium is a Group 1A element, which means it has one valence electron that it tends to lose in chemical reactions to form a cation with a charge of +1.

Phosphorus, on the other hand, is a Group 5A element, which means it has five valence electrons and tends to gain three electrons to form an anion with a charge of -3.

Thus, When lithium and phosphorus combine to form lithium phosphide, three lithium cations (Li+) combine with one phosphide anion (P₃-) to balance the charges and form a neutral compound, Li₃P.

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Final answer:

To share the ribbon equally among the 3 friends, each person will get 1/12 yard of ribbon.

Explanation:

To determine how much ribbon each person will get, we need to divide the total length of the ribbon equally among all friends.

1/4 yard of ribbon divided by 3 friends gives each person 1/12 yard of ribbon.

Therefore, each person will get 1/12 yard of ribbon for breast cancer awareness month.

To determine the number of small and large IC chips sold, we set up a system of linear equations with the given total number of chips (2200) and total earnings ($5050). Solving the system, we found that 1500 small IC chips and 700 large IC chips were sold.

To solve the problem, we can set up a system of linear equations to represent the sales for small and large IC chips. We have two unknowns: the number of small IC chips (let's call it x) and the number of large IC chips (let's call it y). We have two pieces of information to create our equations:

The total number of chips sold is 2200, so x + y = 2200.

The total amount collected is $5050, so 1.50x + 4.00y = 5050.

Solving this system of equations, we multiply the first equation by 1.50 to align it with the second equation:

1.50x + 1.50y = 3300 (Multiply the first equation)

1.50x + 4.00y = 5050 (Second equation)

Subtracting the first new equation from the second gives us:

2.50y = 1750

Dividing both sides by 2.50 to find y gives us y = 700. That means 700 large IC chips were sold. Now, we can substitute y in the first equation to find x:

x + 700 = 2200

x = 2200 - 700

x = 1500

Hence, 1500 small IC chips and 700 large IC chips were sold.

Answer:

The measure of TU is 15.

Step-by-step explanation:

Answer:I = 550 × 0.03 × 1

Step-by-step explanation: from plato

In a rhombus, the diagonals are perpendicular bisectors of each other, meaning they divide each other into two equal parts at a right angle. Let's denote the measure of ∠BAD as x degrees. The measure of ∠BAD is [tex]\( 26^\circ \)[/tex].

Since the angle bisector of ∠ACD makes a 64° angle with the diagonal BD, and BD bisects ∠ACD, then ∠ACB = 64° as well. Additionally, since ABCD is a rhombus, opposite angles are equal. Therefore, ∠ABD = ∠ACB = 64°.

Now, considering triangle ABD, we know that the sum of angles in a triangle is 180°. Thus:

[tex]\[ \angle BAD + \angle ABD + \angle ADB = 180^\circ \][/tex]

Substituting the known values:

[tex]\[ x + 64^\circ + 90^\circ = 180^\circ \][/tex]

[tex]\[ x + 154^\circ = 180^\circ \][/tex]

[tex]\[ x = 180^\circ - 154^\circ \][/tex]

[tex]\[ x = 26^\circ \][/tex]

So, the measure of ∠BAD is [tex]\( 26^\circ \)[/tex].

To summarize:

1. The angle bisector of ∠ACD in the rhombus makes a 64° angle with diagonal BD.

2. By the properties of a rhombus, ∠ACB = 64° as well.

3. Since opposite angles in a rhombus are equal, ∠ABD = ∠ACB = 64°.

4. In triangle ABD, the sum of angles is 180°.

5. Solving for ∠BAD, we find [tex]\( 26^\circ \).[/tex]