The present cost of a radio is ₦4 800. If the rates of inflation for the next two years are 25% and 15% respectively, find the increase in the cost of buying the same kind of radio in 2 years time.

Answer:

The final answer is the quotient.

3x−8

Step-by-step explanation:

Answer:

The final answer is the quotient.

3x−8

Step-by-step explanation:

To subtract the fractions (4/7) and (3/28), we need to have a common denominator. The least common denominator for 7 and 28 is 28. (4/7) - (3/28) = (13/28).

Converting both fractions to have a denominator of 28, we get:

(4/7) = (16/28)

(3/28) = (3/28)

Now, we can subtract the fractions:

(16/28) - (3/28) = (16 - 3) / 28 = 13/28

Therefore, the difference between (4/7) and (3/28) is (13/28) in its lowest terms.

In summary,The least common denominator for 7 and 28 is 28 (4/7) - (3/28) = (13/28).

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Answer:

hmmm cant tell if this is a serious question Lol considering you seem pretty smart but if so answer is 23

Step-by-step explanation:

Answer:

What image? (9/ -0) Is 9 - 8 =1

Step-by-step explanation:

Answer:

you dont have the image of the graph.

Step-by-step explanation:

Answer:

y = - \(\frac{5}{2}\) x - 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, - 2) ← 2 points on the line

m = \(\frac{-2-3}{0-(-2)}\) = \(\frac{-5}{0+2}\) = - \(\frac{5}{2}\)

the line crosses the y- axis at (0, - 2 ) ⇒ c = - 2

y = - \(\frac{5}{2}\) x - 2 ← equation of line

The measure of the angle ADB, obtained from the relationship between the base angles of an isosceles triangle and the angle formed at the center and on the circumference of circle is; ∠ADB = 55°

An isosceles triangle is a triangle that has congruent base angles.

The angle at the m∠A = 180°- (30° + 70°) = 80°

The two tangent and secant theorem indicates that the half the difference between the arcs CD and AB is; 30°, therefore;

30 = (1/2) × (AB - CD)

The congruence relationship between the segment BC and AB indicates that the base angle of the isosceles triangle ABC and the angle ACB

Therefore, the angle ACB = 55°

The angle at the center a of a circle is twice the angle formed at the circumference of a circle.

Arc AB = 2 × angle ACB = 2 × 55° = 110°

Arc CD = 110 - 2 × 30 = 50°

∠DBC = 50°/2 = 25°

∠DBA = 70° - 25° = 45°

Angle ADB = 180 - 80 - 45 = 55

Angle ADB = 55°

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option C, which shows a line graph, is the appropriate graph that Josie can use to help her budget.

What is the linear function?

A linear function is defined as a function that has either one or two variables without exponents. It is a function that graphs to a straight line.

Josie can use a line graph to help her budget since the given function is a linear function.

The graph of a linear function is a straight line, and a line graph is a graph that represents data with points connected by straight lines.

Therefore, option C, which shows a line graph, is the appropriate graph that Josie can use to help her budget.

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Complete question:
The graphs are in the attached image.

A congruent polygon refers to two or more polygons that have the same shape and size. There must be an equal number of sides between two polygons for them to be congruent.

Congruent polygons have parallel sides of equal length and parallel angles of similar magnitude. When two polygons are congruent, they can be superimposed on one another using translations, rotations, and reflections without affecting their appearance or dimensions. Concluding about the matching sides, shapes, angles, and other geometric properties of congruent polygons allows us to draw conclusions about them.

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If Dante works as a tutor for 13 an hour and as a waiter for 11 an hour. This month, he worked a combined total of 106 hours at his two jobs. The expression for the combined total dollar amount he earned this month is: 1,166 - 2t.

t= Number of hours Salma worked as a tutor

w=number of hours Salma worked as a waiters

Total hours work is 106 hours

Hence,

t + w = 106 => w = 106 - t

So,
Expression for the combined total dollar amount:

13t + 11w

=13t + 11×(106 - t)

=13t + 1,166 - 11t

= 1,166 - 2t

Therefore If Dante works as a tutor for 13 an hour and as a waiter for 11 an hour. This month, he worked a combined total of 106 hours at his two jobs. The expression for the combined total dollar amount he earned this month is: 1,166 - 2t.

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We should multiply \(\frac{\sqrt{3}}{\sqrt{3}}\) in the expression \(\frac{\sqrt{13}}{\sqrt{3}}\) to create an equivalent expression.

We are aware that there are two different sorts of radicals. Surds are created when a number is raised to a power that makes it greater than zero but less than one. Indices are created when a number is raised to a power that makes it bigger than one.

We also know that the denominator of a fraction should be free from any surds and also we must not change the value of the expression,

Given, An expression \(\frac{\sqrt{13}}{\sqrt{3}}\).

Now to make the denominator free from any surds we should multiply the numerator and the denominator by \(\frac{\sqrt{3}}{\sqrt{3}}\) which is,

\(= \frac{\sqrt{13}}{\sqrt{3}}\times\frac{\sqrt{3}}{\sqrt{3}}.\)

\(= \frac{\sqrt{13\times3}}{\sqrt{3\times3}}\).

\(= \frac{\sqrt{51}}{{3}}\).

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Answer:

m= - 1/4  

Step-by-step explanation:

Answer:

9.10

Step-by-step explanation:

Answer:12+2y

Step-by-step explanation:

Answer:

12 + 2y

Hope this helps :)

Step-by-step explanation:

When it says "sum," this means the answer to 2 numbers you add. The first number would be 12, and the other number will be y 2 times. So y plus y equals 2y. The final equation is 12 + 2y.

Answer:

Communitive property of multiplication :)

Step-by-step explanation:

Answer:

next part is

6 in. length

2 in. width

16 in. height

Step-by-step explanation:

edge20

All solutions make sense, so none of them should be eliminated.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The polynomial equation is given below.

x³ + 6x² - 40x = 192

Solutions: x = -8, x = -4, and x = 6

Substitute x = -8, then we have

(-8)³ + 6(-8)² - 40(-8) = 192

-512 + 384 + 320 = 192

192 = 192

Substitute x = -4, then we have

(-4)³ + 6(-4)² - 40(-4) = 192

-64 + 96 + 160 = 192

192 = 192

Substitute x = 6, then we have

(6)³ + 6(6)² - 40(6) = 192

216 + 216 - 240 = 192

192 = 192

All solutions make sense, so none of them should be eliminated.

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The complete question is attached below.

Answer:

y = 8.7

Step-by-step explanation:

Assuming we can use decimal places, y is equal to 8.7.

In programming, += is often used as a substitute for y = y + x (example)

Therefore, y = y + 3.7, and since y = 5, y = 5 + 3.7, y = 8.7

As similarity theorem, the value of x that will make the triangles similar by SSS similarity theorem is 77.

Similarity theorem:

In math, similarity theorem refers the line segment splits two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.

Given,

Here we need to find the t value of will make the triangles similar by the similarity theorem.

For example, we are told that the 2 triangles are similar by SSS theorem.

Here we know that, SSS means Side - Side -Side and it is a congruence theorem which states that the 3 corresponding sides of two triangles have same ratio, then we can say that the two triangles are congruent by SSS theorem

Therefore, in the triangles ,applying the SSS postulate gives;

=> x/35 = 44/20

Then by applying the multiplication property of equality, let us multiply both sides by 35 to get;

=> x = (44 * 35)/20

When we simplify this one then we get,

=> x = 77

Therefore, the value of x is 77.

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The z-score for Hugo's typing speed of 72 words per minute is 3.16, indicating that it is 3.16 standard deviations to the right of the mean.

Given that Hugo's words per minute on a typing test are normally distributed with a mean of 42 and a standard deviation of 9.5, we can calculate the z-score for the typing speed of 72 words per minute using the formula:

\(z = (x - μ) / σ\)

where x is the observed value, μ is the population mean, and σ is the population standard deviation.

Plugging in the values, we get:

z = (72 - 42) / 9.5

z = 3.16

This means that the typing speed of 72 words per minute is 3.16 standard deviations to the right of the mean.

The z-score also tells us the probability of observing a value as extreme as 72 words per minute or more, assuming a normal distribution. We can use a standard normal distribution table or a calculator to find this probability, which turns out to be approximately 0.001.

In summary, the z-score for Hugo's typing speed of 72 words per minute is 3.16, indicating that it is 3.16 standard deviations to the right of the mean. This also means that the probability of observing a value as extreme as 72 words per minute or more is very low, at around 0.001.

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A management conundrum is an issue or difficulty that a manager faces that necessitates a choice. This difficulty or challenge frequently defines the study question and motivates researchers to conduct research to discover a solution that is the given statement is true.

Mathematics research is the long-term, open-ended investigation of a series of connected mathematical issues, the answers to which connect to and build upon one another. Because students always come up with new questions to ask based on their observations, problems are open-ended. Mathematics research is the long-term, open-ended investigation of a series of connected mathematical issues, the answers to which connect to and build upon one another. Because students always come up with new questions to ask based on their observations, problems are open-ended. Student research also has the following characteristics: Students create questions, tactics, and outcomes that are, at least for them, unique. Students employ the same broad techniques as research mathematicians. They go through data collection, visualization, abstraction, conjecture, and proof cycles.

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Answer:

Step-by-step explanation:

You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).

Writing the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -2 = 1/2(x -(-1)) . . . . . using given slope and point

  2y -4 = x +1 . . . . . . . . . . multiply by 2

  x -2y =  -5 . . . . . . . . . . . . add -1 -2y

Setting x=0 tells us the y-intercept is ...

  0 -2y = -5

  y = -5/-2 = 5/2

So, the y-intercept is (0, 5/2).

Setting y=0 tells us the x-intercept is ...

  x -2(0) = -5

  x = -5

So, the x-intercept is (-5, 0).

It will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...

  x -2y = -5

  x = -5 +2y = -5 +2(6) = 7

Another point on the line is (7, 6).

__

Additional comment

If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.

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49.2 calories are in  would that contribute per serving .

What does a calorie mean ?

Carbohydrates provide 4 calories per gram.

              1 gm Carbohydrates = 4 calories

 then 12.3 gm Carbohydrates  = 12.3 * 4

                                             = 49.2 calories

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Answer:

To make 700 copies the machine requires 5 minutes and 36 seconds.

Step-by-step explanation:

Given, A machine makes 500 copies in 4 minutes.

∴ The time required to make 1 copy is = (4/500) minutes.

= 0.008 minutes.

So, the time required to make 700 copies is,

= 0.008×700 minutes.

= 5.6 minutes or 5 minutes 36 seconds.

Answer:

Step-by-step explanation:

<2 and <8 are alternate exterior angles

<4 and <6 are alternate interior angles

<3 and <6 are corrosponding angles

20+3(3y-4x)

if x=4 y=6

20+3((3×6)-(4×4))=20+3(18-16)=20+3×2=20+6=26

answer: 26.

Answer:

Step-by-step explanation:

This is a right scalene triangle as it has 90° angle and all sides have different lengths.

Correct choices are C and D

Answer:

Solution:

the given TRAINGLE is right angled and scale traingle .