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3 years ago

How many 4-digit number are divisible by 7,8,10 and 25

Mathematics

1 answer:

saw5 [17]3 years ago

6 0

9514 1404 393

Answer:

Step-by-step explanation:

In order for a number to be divisible by all of 7, 8, 10, and 25, it must be a multiple of the least common multiple of those numbers.

LCM(7, 8, 10, 25) = 7×8×25 = 1400

There are floor(10,000/1,400) = 7 4-digit numbers divisible by 7, 8, 10, and 25. They are ...

1400, 2800, 4200, 5600, 7000, 8400, 9800

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Consider the absolute value inequality: |x - 6| > 20. Will the graph of the solutions to the inequality result in an "and" or

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Step-by-step explanation:

Case 1 : |x| > a, => x > a or x < -a

Case 2 : |x| < a, => -a < x < a

Since this question follows Case 1, we will have an "or" inequality.

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3 years ago

Jose and Jayden go to the movie theater and purchase refreshments for their friends. Jose spends a total of $43.25 on 5 bags of

Effectus [21]

Answer: The equations are as follows;

5p + 4d = 43.25 ————(1) and

3p + 2d = 24.25 ————(2)

Also a bag of popcorn costs $5.25

Step-by-step explanation: We start by assigning letters to the unknown variables. Let a bag of popcorn be p and let one drink be d. The clues given in the question include the cost of buying five bags of popcorn and four drinks which is a total of $43.25. This can be expressed as

5p + 4d = 43.25 ————(1)

Another clue is that three bags of popcorn and two drinks cost $24.25. This also can be expressed as

3p + 2d = 24.25 ————(2)

Now we have a pair of simultaneous equations as follows

5p + 4d = 43.25 ————(1)

3p + 2d = 24.25 ————(2)

We shall use the elimination method since all the unknowns have coefficients greater than 1. Multiply equation one by 3, and multiply equation two by 5 (so as to eliminate ‘p’)

5p + 4d = 43.25 ——— x3

3p + 2d = 24.25 ——— x5

15p + 12d = 129.75 ———(3)

15p + 10d = 121.25 ———(4)

Subtract equation (4) from equation (3) and we have

2d = 8.5

Divide both sides of the equation by 2

d = 4.25.

That means each drink costs $4.25

We can now substitute for the value of d into equation (2)

3p + 2d = 24.25

When d = 4.25

3p + 2(4.25) = 24.25

3p + 8.5 = 24.25

Subtract 8.5 from both sides of the equation

3p = 15.75

Divide both sides of the equation by 3

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4 years ago

What kind of quadrilateral is the shape shown? the matching arrow labels indicate the two opposite sides are parallel

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Answer

a and d you would have to search if a square

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3 years ago

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Which of the following is the slope intercept form of the equation of this line

love history [14]

Answer:

The slope-intercept form of the equation of this line is:

$y=-x$

Hence, option 'c' is true.

Step-by-step explanation:

From the line equation, let us take two points

(1, -1)

(-1, 1)

Finding the slope between two points

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(1,\:-1\right),\:\left(x_2,\:y_2\right)=\left(-1,\:1\right)$

$m=\frac{1-\left(-1\right)}{-1-1}$

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From the line graph, we can determine the y-intercept by setting x=0 and checking the y-value at x=0

at x=0, y=0

Thus, (0, 0) is the y-intercept

We know that the slope-intercept form of the line equation is

y=mx+b

where

m=slope

b=y-intercept

As we have already determined m=-1 and y-intercept=b=0

so substituting m=-1, b=0 in the slope-intercept form of the line equation

$y=mx+b$

$y=(-1)x+0$

$y=-x$

Thus, the slope-intercept form of the equation of this line is:

$y=-x$

Hence, option 'c' is true.

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3 years ago

Which tables contain correct pairs of input and output values for the function f(x) = 3+5x/2 ?

algol [13]

<span>Input (x) [-2.7] [-1.3] [0.8] [4.4]
Output f(x) [-5.25] [-1.75] [3.5] [12.5]

Input (x) [1.1] [2.4] [5.3] [6.9]
Output f(x) [4.25] [7.5] [11.75] [17.25]

Input (x) [-2.1] [0.9] [1.7] [3.3]
Output f(x) [-3.75] [3.75] [5.75] [9.75]

Just substitute the inputs for x.
Please like and rate me.</span>

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4 years ago

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How many 4-digit number are divisible by 7,8,10 and 25​

How many 4-digit number are divisible by 7,8,10 and 25