1. Mother gave donations worth Php 23 900.50 to the Children Foundation and
Php 32 097.50 to the Home for the Aged from her savings. If she had
Php 60 555.75 in her bag, how much money will be left to her?
What is asked?
What are given?
What operation should be used to solve the problem?
What is the number sentence?
What is the complete answer?​

(x - 6)² + (y + 5)² = 16 is a circle centered at (6, -5) with a radius of 4 units.

The point P(10, -5) has the same y-coordinate as the center of the circle and it is placed 4 units to the right of it.

Then, the point Q must have the same y-coordinate and must be placed 4 units to the left of the center, therefore its x-coordinate is 6 - 4 = 2. In consequence, point Q is placed at (2, -5), as can be seen in the next graph:

The equations that has the solution x = all real numbers is 5(3x)+ 7x = 3x + 15 - x and 5(3x) + 7x = 3x + 10 - x,

Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14.

A formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign.

Here given equations,

5(3x) + 6x = 3x + 15 + 2x

15x + 6x = 3x + 15 + 2x

15 x + 6x - 3x -2x = 15

16 x = 15

x = 15/16

5(3x).+ 7x = 3x + 15 - x

15 x + 7x = 3x + 15 - x

15 x + 7x - 3x + x = 15

22x - 3x + x = 15

20 x = 15

x = 15/20

x = 3/4

5(3x) + 7x = 3x + 10 - x

15x + 7x - 3x + x = 10

20x = 10

x = 10/20

x = 1/2

5(3x) + 7x = x + 15 - 3x

15x +7x - x + 3x = 15

24x = 15

x = 15/24

x = 5/8

Therefore the equations that has the solution x = all real numbers are :

5(3x).+ 7x = 3x + 15 - x and 5(3x) + 7x = 3x + 10 - x .

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Answer:

15x-8=0

x=8/15

Step-by-step explanation:

They can buy 120 vans, 60 small trucks, and 80 large trucks.

The truck company plans to spend 10 million on 260 vehicles. Each commercial van cost 25,000 dollars. Each small truck 50,000 dollars and each large truck 50,000 dollars. They needed twice as many van as small truck

Therefore,

let

s = number of small truck

number of van = v

let

l = number of large truck

v + s + l = 260

25,000(v) + 50,000(s) + 50,000(l) = 10,000, 000

v + 2s + 2l = 400

Hence,

v = 2s

So,

2s + 2s + 2l = 400

4s + 2l = 400

2s + s + l = 260

3s + l = 260

2s + l = 200

s = 60

l = 200 - 2(60)

l = 200 - 120

l = 80

v = 2(600 = 120

Therefore, they can buy the following:

number of small truck = 60

number of van = 120

number of large truck = 80

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The item most likely to weigh 2 kilograms is a roast chicken.

The size, breed, and any other ingredients or stuffing used can all affect the weight of a roast chicken. Weights of roast chickens can range from petite ones weighing less than 1 kilogram to larger ones weighing more than 2 kilograms.

The other things that we have there would either weigh less than 2 Kg such as a tea bag or much more than 2 Kg such as a horse. The egg and the tea a very light and would be less than 2 Kg in weight while the bag and the horse would be above 2 Kg in weight.

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A = \(\frac{1}{2}h(b_{1} +b_{2} )\)

If A = 136 when \(b_{1}\) = 7 and h = 16, find \(b_{2}\)

We are given the equation that we are working with:

A = \(\frac{1}{2}h(b_{1} +b_{2} )\)

We are given certain values that the variables, in this case, are equal to:

A = 136

\(b_{1}\) = 7

h = 16

Substitute the given variables in the given equation for the corresponding numbers:

A = \(\frac{1}{2}h(b_{1} +b_{2} )\)

136 = \(\frac{1}{2}\) * 16 (7 + \(b_{2}\))

We know all the values in the equation except  \(b_{2}\). In order to find  \(b_{2}\) we must isolate it on one side of the equation

136 = 8 (7 + \(b_{2}\))

\(\frac{136}{8}\) = \(\frac{8 (7 + b_{2}) }{8}\)

17 = 7 + \(b_{2}\)

17 - 7 = 7 - 7 + \(b_{2}\)

10 =   \(b_{2}\)

If   \(b_{2}\) is equal to 10 then if we plug it back into the given equation both sides of the equation should equal each other. Remember to use PEMDAS

136 = \(\frac{1}{2}\) * 16 (7 + \(b_{2}\))

136 = \(\frac{1}{2}\) * 16 (7 + 10)

136 = \(\frac{1}{2}\) * 16 (17)

136 = 8 (17)

136 = 136

\(b_{2}\) = 10

The measure of the angle that turns through 3/10 of the circle is 108 degrees.

An angle is a geometric figure that is formed by two rays that share a common endpoint, which is called the vertex of the angle. The rays are referred to as the sides or legs of the angle. Angles are typically measured in degrees, with a full circle measuring 360 degrees.

Angles can be classified based on their degree of measurement: acute angles are less than 90 degrees, right angles are exactly 90 degrees, obtuse angles are greater than 90 degrees but less than 180 degrees, and straight angles are exactly 180 degrees.

Since a full circle has 360 degrees, 3/10 of the circle can be represented as:

(3/10) x 360 degrees = 108 degrees

Therefore, the measure of the angle that turns through 3/10 of the circle is 108 degrees.

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The complete question is :

The angle turns through 3/10 of the circle. What is the measure of the angle?

Answer:

Conversely, if n is divisible by 5, then n is the sum of five consecutive integers. In particular, this gives n = 5m + 10 = 5(m + 2) and, since m + 2 is an integer, this shows n is divisible by 5

The value of the underlined digit in the number 27,416,385.( 4 is the underlined number.) is the hundred thousandths place.

The symbols, from 0 to 9 can be described as a digit. For instance, the numbers 2 and 3 are used to represent the number 23.  however amount is represented by a number.

It should be noted that It may be expressed using one, two, three, or even more digits however only single symbol used to represent a number is a digit in the case above we can see that 4 is the hundred thousandths place.

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Answer

Diana has 300 dimes

Step-by-step explanation:

The coin is the combination of nickels and dimes

Let x represents nickels

Let y represents dimes

Since the total coin is 500

x + y = 500 ------------ equation 1

The total value of the coin is $40

0.05x + 0.1y = 40 ------------- equation 2

Solve equations 1 and 2 simultaneously using the substitution method

x + y = 500 --------- equation 1

0.05x + 0.1y = 40 - equation 2

Isolate x in equation 1

x = 500 - y

Substitute the value of x in equation 2

0.05(500 - y) + 0.1y = 40

Open the parenthesis

25 - 0.05y + 0.1y = 40

Collect the like terms

-0.05y + 0.1y = 40 - 25

0.05y = 15

Isolate y by dividing through by 0.05

0.05y/0.05 = 15/0.05

y = 300

Hence, Diana has 300 dimes

Answer:

it will be in a rectangle shape

Step-by-step explanation:

that go there

Answer:

1. $19,282.025

2.$3698

Step-by-step explanation:

1.

In order to calculate this, we can use the following formula:

\(\boxed{\bold{FV = PV(1 + \frac{r}{n})^{nt}}}\)

Where:

In this case, the following values would be used:

Plugging these values into the formula, we get:

\(FV = 3,294(1 + \frac{0.15}{4})^{4*12}\)

= $19,282.025

2

In order to calculate this, we can use the following formula:

\(\boxed{\bold{FV = PVe^{rt}}}\)

Where:

In this case, the following values would be used:

Plugging these values into the formula, we get:

\(FV = 2,580e^{0.03*12}\)

= $3,697.99=$3698

The graph Plot of the given results shown represents; A relation only

For it to be a function, then no x-value can produce more than 2 y-values. However, we see that at x = 25, y has 2 values. Similarly, at x = 15, y has two values.

Thus, the graph plot can only be a relation as it is not a function as seen from the points plotted in the graph.

The complete question is;

Mrs. Anderton is giving a test in her third-period class. She has decided to record the amount of time that each student takes to finish the test (in minutes) and compare that to the grade each student receives on the test (out of 100). A plot of her results is below. Which of the following does this situation represent?

A. both a relation and a function

B. a function only

C. neither a relation nor a function

D. a relation only

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The Bernoulli differential equation is a nonlinear ordinary differential equation of the form:

dy/dx + P(x)y = Q(x)y^n, where n ≠ 0, 1.

For n = 0 or n = 1, the equation is linear. For other values of n, a common technique to linearize the equation is to make the substitution y = v^(-1/n-1). The resulting equation is:

dv/dx + (P(x) + Q(x)/v^(1/n-1)) * (1/n-1) * v^(1/n-2) * dv/dx = 0.

For the initial value problem given, we have P(x) = -1/x, Q(x) = -5, and n = 2.

We make the substitution y = v^(-1), so v = y^(-1), and dv/dx = -y^(-2)dy/dx. The equation becomes:

-y^(-2)dy/dx + (-1/x - 5y^2) = 0.

We have the initial condition y(1) = 1/5. In terms of v, the initial condition becomes v(1) = 1/(1/5)^2 = 25.

Now, the differential equation is linear, and we can solve it using standard methods, such as separation of variables. To find the solution that satisfies the initial condition, we may use numerical methods such as the Euler method or Runge-Kutta method.

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Answer:4/10 40%

Step-by-step explanation:

Answer:

Your answer would be 4/10 OR 40%.

Step-by-step explanation:

The graph of g(x) is on the image at the end, and the correct option for the transformation is B.

We define a horizontal dilation of scale factor k as:

g(x) = f(k*x)

if k > 1, we have a stretch.

if  0 < k < 1, we have a shink of scale factor 1/k

Here we have:

g(x) = f (5x) = 5x - 4

We can notice that k = 5, then we have a stretch, thus, the correct option is B.

The graph of function g(x) can be seen in the image at the end.,

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The Average Order's Gross Profit for the clothing eCommerce company in this scenario is USD 15.

For the Average Order's Gross Profit for the clothing eCommerce company in this scenario, we need to subtract the cost of production and shipping from the Average Order Value as;

⇒ Gross Profit = Average Order Value - Cost of production - Cost of shipping Gross Profit

⇒ Gross Profit = USD 65 - USD 35 - USD 15

⇒ Gross Profit = USD 15

Therefore, the Average Order's Gross Profit for the clothing eCommerce company in this scenario is USD 15.

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Answer:

False

Explanation

The x-intercept of a line occurs when the line intersects with the x-axis.

Answer:

I'm pretty sure the answer is A

Answer:

Answer is A

Step-by-step explanation:

B- The area is LxW meaning it is 3x9= 27 sq cm

C- Area LxW meaning 4x8= 32.

A- I only see 6 but this would mean that the width is 7. 7x6= 42 sq cm.

There you go: Formula is : LxW or multiplying the two numbers.< Hope it helps!

The absolute value equations in the form of  |x-b|= c(where b is a number and c can be either a number or an expression) that has the following solution set

all numbers such that x ≤ 5 and all numbers such that x ≥ -1.3 will be x -5 ≤ 0 and x + 1.3 ≥ 0.

Isolate the absolute number on one side of the equation to solve an equation containing the absolute value.

Then, resolve both equations by changing their respective contents to the positive and negative values of the variable on the other side of the equation.

In another word, the absolute value equation is the equation that has a real absolute value not imaginary and not binary.

In the mode function, it could be two values if the mode is going negative or positive.

Given that the equation |x-b| = c and the constraint is

all numbers such that x ≤ 5

all numbers such that x ≥ -1.3

so by substituting we will get x -5 ≤ 0 and x + 1.3 ≥ 0.

The complete question is-

Write the absolute value equations in the form |x-b|=c (where b is a number and c can be either a number or an expression) that has the following solution set

all numbers such that x ≤ 5

all numbers such that x ≥ -1.3

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Answer: sin(0) = 40.804/41

Step-by-step explanation:

Step-by-step explanation:

1. 12+x

when x=4

so,12+4=16

2.3x+y

when x=4 and y=7

so,3(4)+(7)

=12+7=19

3.4y-10

so,4(7)-10

=28-10

=18

4. 1/2xy

when x=4 and y=7

so,1/2×4×7

1/2×28

=14

Answer:

-0.479

Step-by-step explanation:

\(sin(cos(4 \frac{\pi}{3} ) = - sin( \frac{1}{2} ) = - 0.479\)

Answer:

Answer is B : -1/2

Step-by-step explanation:

correct on edge

Answer:

The tree is 72 feet tall.

Step-by-step explanation:

\( \frac{2}{6} = \frac{24}{h} \)

\(2h = 144\)

\(h = 72\)

Answer:

Step-by-step explanation:

step one:

Given the expression  13x(9y – 12) we are expected to expand the expression to obtain a similar expression given in the options

step two

we proceed by

\(= 13x(9y-12)\\\\=(117xy-156x)\)

step three

we proceed to both terms in the expression

bt a common factor which is 39

\(\frac{117xy}{39}-\frac{156x}{39}\)

\(3xy-4x\)

From our analysis, the option D matches the expression