Write an equation to represent the following statement.
The sum of j and 47 is 55.

Answer:

1,3

Step-by-step explanation:

Answer:

See attached photo for work

Step-by-step explanation:



When dividing 210 by 3.5 using long division, the quotient is 60.

Dividing is a fundamental mathematical operation that involves splitting a quantity or set of items into equal parts. It is the inverse of multiplication, where one number, called the dividend, is separated into smaller portions or groups by another number, known as the divisor. The result is called the quotient. Division is denoted by the symbol "/", ÷, or ":".

When dividing 210 by 3.5 using long division, we start by dividing 2 by 3.5 which gives us 0 as the quotient. We then bring down the next digit, 1, and divide 21 by 3.5 which gives us 6 as the quotient. Finally, we bring down the last digit, 0, and divide 0 by 3.5 which gives us 0 as the quotient. Therefore, 210 divided by 3.5 is equal to 60.

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The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its Denominator, or to eliminate denominators from a radical expression.

To rationalize the denominator 1/7 + 3√2,

A rational number is a number that can be expressed as a ratio of two integers, with the denominator not equal to zero. The fraction 4/5, for example, is a rational number since it can be expressed as 4 divided by 5.

Step-by-Step SolutionTo rationalizes the denominator 1/7 + 3√2, we'll need to follow these steps.

Step 1: First, we need to create a common denominator for the two terms. The common denominator is 7. Thus, we can convert the expression to the following form:(1/7) + (3√2 × 7)/(7 × 3√2).

Step 2: Simplify the denominator to 7. (1/7) + (21√2)/(21 × 3√2).

Step 3: The numerator and denominator can now be simplified. (1 + 21√2)/(7 × 3√2).Step 4: Simplify further. (1 + 21√2)/(21√2).We have successfully rationalized the denominator!

The final answer is (1 + 21√2)/(21√2).

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its denominator, or to eliminate denominators from a radical expression.

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Answer:

The value of x = 0    

Step-by-step explanation:

Given

To determine

The value of x = ?

If we closely observe the value of the y-coordinate of the image B'(x, 20), we can see that the y-coordinate of the image B' is 4 times the y-coordinate of the original point (0, 5).

i.e. y → 5×4 =20

It means the coordinates of the image B'(x, 20) can be determined by dilating the original point (0, 5) by a scale factor of 4.

Thus, the x-coordinate of B'(x, 20) can also be obtained by multiplying the x-coordinate of B(0, 5) by 4.

i.e. x → 4×0 = 0

Thus, the rule of dilation is:

P(x, y) = P'(4x, 4y)

Hence,

B(0, 5) → B'(4(0), 4(5)) → B'(0, 20)

Thus,

The value of x = 0           ∵ 0×4 = 0

The three properties of parallel lines are transitive property of parallel lines, symmetric properties of parallel lines and properties cut by transversal.

Properties of parallel lines when cut by a transversal

Two lines when cut by a transversal line are parallel if the corresponding angles so formed are equal. Generally, the corresponding angles are in relative positions and lie along the same side of the transversal.

Two lines cut by a transversal line are said to be parallel if the alternate interior angles so formed are equal. In general, the pairs of the alternate interior are found in the inner side but lie on the opposite sides of the transversal.

Two lines cut by a transversal line are said to be parallell if the alternate exterior angles so formed are equal. In general, the pairs of alternate exterior angles are found on the outer side but lie opposite each other.

The above mentioned are 3 properties of parallel lines.

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There are 30 cubic feet of water in the pipe at time t = 0. 76.570 cubic feet of rainwater flow into the pipe during the 8-hour time interval 0 ≤ t ≤ 8.

\(\int\limits^8_0\)   [R(t) dt = \(\int\limits^8_0\) 20 sin \(\frac{t^2}{35}\) dt = 76.570

What Is Time Interval?

The amount of time between two given times is known as time interval. In other words, it is the amount of time that has passed between the beginning and end of the event. It is also known as elapsed time.

INTERVAL types are divided into two classes: year-month intervals and day-time intervals. A year-month interval can represent a span of years and months, and a day-time interval can represent a span of days, hours, minutes, seconds, and fractions of a second.

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Step-by-step explanation:

Let's call the number of girls in the school "g". We know that there are 1000 boys, so the total number of students is 1000 + g.

The problem states that 48% of the total number of students were successful in the examination. Therefore, we can write an equation:

0.48(1000 + g) = 0.5(1000) + 0.4(g)

Simplifying and solving for g:

480 + 0.48g = 500 + 0.4g

0.08g = 20

g = 250

Therefore, the number of girls in the school is 250.

Answer:

250

Step-by-step explanation:

Hi dear,

Firstly, let the girls be G

1000 + G = Total number of students

50% of boy = 1000 × 0.5 = 500

40% of girls = G × 0.4 = 0.4G

0.48 • (1000 + G) = 480 + 0.48G

480 + 0.48G = 500 + 0.4G

Collect Like Terms

0.48G - 0.4G = 500 - 480

0.08G = 20

G = 20/0.08

G = 250

Therefore, the girls are 250( two hundred and fifty)in the school

is there a value to y? if not, this is what I got:

Y^2 + 2y + 3

Answer:

2.5 meters a second

Step-by-step explanation:

Because I said so

Answer:

131

Step-by-step explanation:

P(11) = 5(2(11) + 1) + 16

p(11) = 5(22 + 1) + 16

p(11) = 5(23) + 16

p(11) = 115 + 16

p(11) = 131

Hope this helps! Pls give brainliest!

Answer:

\({ \rm{p(x) = 5( {x}^{2} + 1) + 16 }} \\ \)

• If they ask value of p(11), substitute x with 11:

\({ \rm{p(11) = 5( {11}^{2} + 1) + 16}} \\ \\ { \rm{p(11) = 610 + 16}} \\ \\ { \boxed{ \boxed{ \rm{p(11) = 626}}}}\)

Answer:

5%

Step-by-step explanation:

487/9374=0.05

0.05 would translate to 5%

Hope this helps! :)

Answer:

F (5%)

Step-by-step explanation:

To find the percentage of questions he got correct:

487/9374=0.051....

So, assuming an F is less than 50%, he got an F.

Answer:

This has nothing to do with math

Step-by-step explanation:

I don't know what this even means

Answer:

sandwich and drink only (no dessert)

so 4 x 6 = 24

you have 24 different combinations you can do

hope this helps

Step-by-step explanation:

Answer:

$1250

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

I = 5000 × 0.05 × 5 = 1250

I = $ 1,250.00

The simple interest accumulated

on a principal of $ 5,000.00

at a rate of 5% per year

for 5 years is $ 1,250.00.

Answer
3/4

Step-by-step explanation
3/

6

+ 1/

4

= 3 · 2/

6 · 2

+ 1 · 3/

4 · 3

= 6/

12

+ 3/

12

= 6 + 3/

12

= 9/

12

= 3 · 3/

3 · 4

= 3/

4

Rounding this answer to two decimal places, the area under the standard normal curve between 0.25 and 1.25 is approximately 0.39.

To find the area under the standard normal curve between 0.25 and 1.25, we can use a standard normal distribution table or a calculator with a built-in normal distribution function.

Using a calculator, we can use the cumulative distribution function (CDF) of the standard normal distribution to find the area under the curve. Here's how you can calculate it:

1. Open your calculator or a statistical software.

2. Access the normal distribution function or the cumulative distribution function (CDF).

3. Enter the lower bound of 0.25.

4. Enter the upper bound of 1.25.

5. Specify the mean as 0 (for the standard normal distribution).

6. Specify the standard deviation as 1 (for the standard normal distribution).

7. Calculate or evaluate the CDF between 0.25 and 1.25.

Using this method, the area under the standard normal curve between 0.25 and 1.25 is approximately 0.3944 (rounded to four decimal places).

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Answer:

point j is .55 because its .55

Step-by-step explanation:

Answer: Sixtyfive point five

Step-by-step explanation:

this is how we "speak" decimals. the dot is called a point, and the numbers are read as is.

Answer:

x ≈ 2.76

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan78° = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{13}{x}\) ( multiply both sides by x )

x × tan78° = 13 ( divide both sides by tan78° )

x = \(\frac{13}{tan78}\) ≈ 2.76 ( to 2 dec. places )

The step which contains the first error in calculation is: B. Step 2 - the sine ratio was applied incorrectly.

The law of sines is also referred to as sine law or sine rule and it can be defined as an equation that relates the side lengths of a triangle to the sines of its angles.

Mathematically, the law of sines is given by this equation:

\(\frac{sinA}{a} =\frac{sinB}{b}\)

For any right-angled triangle, the ratio of the length of its opposite sides to the length of its hypotenuse is generally referred to as sine ratio. Thus, sine ratio is given by this formula:

cos(θ) = Opp/Hyp

Where:

In this context, we can infer and logically deduce that the step which contains the first error in calculation is step 2:

sin(W) = y/XZ; XZsin(W) = y.

In conclusion, the correct step should have been written as follows:

sin(W) = XZ/y; ysin(W) = XZ.

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Answer:

step 2 is incorrect

Step-by-step explanation:

B. Step 2 - the sine ratio was applied incorrectly

none of the provided options (a, b, c, d) appear to be accurate or close to the minimum space required.

To determine the minimum space required for a male restroom design with the given plumbing requirements, we need to consider the minimum space required for water closets and lavatories.

The minimum space required for water closets is typically around 30-36 inches per unit, and for lavatories, it is around 24-30 inches per unit.

Since the design requires a minimum of 12 water closets and 13 lavatories, we can estimate the minimum space required as follows:

Minimum space required for water closets = 12 water closets * 30 inches = 360 inches

Minimum space required for lavatories = 13 lavatories * 24 inches = 312 inches

Adding these two values together, we get a total minimum space requirement of 672 inches.

Among the given options, the closest value to 672 inches is option d) 249. However, this value seems significantly lower than the expected minimum space requirement.

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y = x + 2 is the  other equation if its graph has a slope of 1.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

If the y-coordinate of the intersection point of the two equations is 2, and one of the equations is y = 3x + 5,

The other equation must be of the form y = mx + b, where m is the slope of the line and b is the y-intercept.

m=1 is the slope of the other equation.

y = mx + b

2 = 1x + b

b = 2 - 1x

b = 2 - x

So the other equation is y = x + 2.

Hence,  y = x + 2 is the  other equation if its graph has a slope of 1.

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To answer this question, we will use the trigonometric function tangent. Recall that in a right triangle:

In the given triangle, θ=25°, adjacent leg=x, and opposite leg=10, therefore:

Solving the above equation for x, we get:

Simplifying the above result we get:

Answer:

If Rn has a basis of eigenvectors of A, then A is diagonalizable.

This statement is true.

If A is diagonalizable, then A is invertible.

This statement is false.

What is diagonalizable matrix?

If there is an invertible matrix P and a diagonal matrix D such that P^-1AP=D, or alternatively A=PDP^-1, then the square matrix A is said to be diagonalizable or non-defective in linear algebra.

If Rn has a basis of eigenvectors of A, then A is diagonalizable.

This statement is true.

In this case we can construct an invertible matrix P.

If A is diagonalizable, then A is invertible.

This statement is false.

It’s invertible if it doesn’t have a zero as eigen value but this doesn’t affect diagonalizabilty.

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Answer:

b

Step-by-step explanation:

just finished the test

The requried best representation of the two gray parts and the striped part in the whole rectangle is 1/6 + 3/6 = 3/6. Option D is correct.

A fraction is a mathematical concept that can be used to express a portion of a whole or a number that can be written as the ratio of two integers. In a fraction, the top number is referred to as the numerator, while the bottom number is referred to as the denominator.

Here,
To find the best representation of the two gray parts and the striped part in the whole rectangle, we need to add the fractions representing the gray parts and the striped part. The two gray parts each represent 1/6 of the rectangle, so together they represent 1/6 + 1/6 = 2/6 of the rectangle. The striped part represents 1/6 of the rectangle.

To find the total of the two gray parts and the striped part, we add 2/6 and 1/6, which gives us 3/6.

Therefore, the required best representation is 3/6, which is option D.

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The inverse of the function f(x) = -2x + 7 is f⁻¹ = -x/2 + 7/2.

Given the function in the question;

f(x) = -2x + 7

To determine the inverse, first replace f(x) with y in the function.

y = -2x + 7

Next, interchange the variables

x = -2y + 7

Then, solve for y

Add 2y to both sides

x + 2y = -2y + 2y + 7

x + 2y = 7

Subtract x from both sides

x - x + 2y = - x + 7

2y = - x + 7

Divide each term by 2

2y/2 = -x/2 + 7/2

y = -x/2 + 7/2

Now, replace y with f⁻¹

f⁻¹ = -x/2 + 7/2

Therefore, the inverse function is -x/2 + 7/2.

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Answer:

-30

Step-by-step explanation:The answer is -30. Hope this helps.

Answer:

y = 1/4x-1

Step-by-step explanation:

Ok first, you need to find the slope:

0+2 = 2=1

4+4 = 8=4

Slope: 1/4

y=1/4x+b

Now you need to find the y intercept which is b. For that you can take a coordinate pair and substitute it in the equation to find b.

I will use (4,0)

0=1/4 X 4 + b

0=x+b

minus x on both sides. x=1

-1=b

An equation of the line that passes through the pair of points

(- 4, - 2), (4, 0) is  y + 2 = (1/4)(x + 4).

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, A  line that passes through the pair of points. (−4, −2), (4, 0).

We also know slope(m) = (y₂ - y₁)/(x₂ - x₁) = (0 + 2)/(4 + 4) = 1/4.

So, the equation of a line in point-slope form is y - y₁ = m(x - x₁).

∴ y + 2 = (1/4)(x + 4).

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Answer:

8, 0

Step-by-step explanation: