Mathematics High School

How many four-digit numbers are divisible by 15 and have 15 as the two middle digits?

Answers

Answer 1

Answer: There are 600 four-digit numbers divisible by 15.

Step-by-step explanation:

1005, 1020, 1035, 1050, 1065, 1080, 1095, 1110, 1125, 1140, 1155, 1170, 1185, 1200, 1215, 1230, 1245, 1260, 1275, 1290, 1305, 1320, 1335, 1350, 1365, 1380, 1395, 1410, 1425, 1440, 1455, 1470, 1485, 1500, 1515, 1530, 1545, 1560, 1575, 1590, 1605, 1620, 1635, 1650, 1665, 1680, 1695, 1710, 1725, 1740, 1755, 1770, 1785, 1800, 1815, 1830, 1845, 1860, 1875, 1890, 1905, 1920, 1935, 1950, 1965, 1980, 1995, 2010, 2025, 2040, 2055, 2070, 2085, 2100, 2115, 2130, 2145, 2160, 2175, 2190, 2205, 2220, 2235, 2250, 2265, 2280, 2295, 2310, 2325, 2340, 2355, 2370, 2385, 2400, 2415, 2430, 2445, 2460, 2475, 2490, 2505, 2520, 2535, 2550, 2565, 2580, 2595, 2610, 2625, 2640, 2655, 2670, 2685, 2700, 2715, 2730, 2745, 2760, 2775, 2790, 2805, 2820, 2835, 2850, 2865, 2880, 2895, 2910, 2925, 2940, 2955, 2970, 2985, 3000, 3015, 3030, 3045, 3060, 3075, 3090, 3105, 3120, 3135, 3150, 3165, 3180, 3195, 3210, 3225, 3240, 3255, 3270, 3285, 3300, 3315, 3330, 3345, 3360, 3375, 3390, 3405, 3420, 3435, 3450, 3465, 3480, 3495, 3510, 3525, 3540, 3555, 3570, 3585, 3600, 3615, 3630, 3645, 3660, 3675, 3690, 3705, 3720, 3735, 3750, 3765, 3780, 3795, 3810, 3825, 3840, 3855, 3870, 3885, 3900, 3915, 3930, 3945, 3960, 3975, 3990, 4005, 4020, 4035, 4050, 4065, 4080, 4095, 4110, 4125, 4140, 4155, 4170, 4185, 4200, 4215, 4230, 4245, 4260, 4275, 4290, 4305, 4320, 4335, 4350, 4365, 4380, 4395, 4410, 4425, 4440, 4455, 4470, 4485, 4500, 4515, 4530, 4545, 4560, 4575, 4590, 4605, 4620, 4635, 4650, 4665, 4680, 4695, 4710, 4725, 4740, 4755, 4770, 4785, 4800, 4815, 4830, 4845, 4860, 4875, 4890, 4905, 4920, 4935, 4950, 4965, 4980, 4995, 5010, 5025, 5040, 5055, 5070, 5085, 5100, 5115, 5130, 5145, 5160, 5175, 5190, 5205, 5220, 5235, 5250, 5265, 5280, 5295, 5310, 5325, 5340, 5355, 5370, 5385, 5400, 5415, 5430, 5445, 5460, 5475, 5490, 5505, 5520, 5535, 5550, 5565, 5580, 5595, 5610, 5625, 5640, 5655, 5670, 5685, 5700, 5715, 5730, 5745, 5760, 5775, 5790, 5805, 5820, 5835, 5850, 5865, 5880, 5895, 5910, 5925, 5940, 5955, 5970, 5985, 6000, 6015, 6030, 6045, 6060, 6075, 6090, 6105, 6120, 6135, 6150, 6165, 6180, 6195, 6210, 6225, 6240, 6255, 6270, 6285, 6300, 6315, 6330, 6345, 6360, 6375, 6390, 6405, 6420, 6435, 6450, 6465, 6480, 6495, 6510, 6525, 6540, 6555, 6570, 6585, 6600, 6615, 6630, 6645, 6660, 6675, 6690, 6705, 6720, 6735, 6750, 6765, 6780, 6795, 6810, 6825, 6840, 6855, 6870, 6885, 6900, 6915, 6930, 6945, 6960, 6975, 6990, 7005, 7020, 7035, 7050, 7065, 7080, 7095, 7110, 7125, 7140, 7155, 7170, 7185, 7200, 7215, 7230, 7245, 7260, 7275, 7290, 7305, 7320, 7335, 7350, 7365, 7380, 7395, 7410, 7425, 7440, 7455, 7470, 7485, 7500, 7515, 7530, 7545, 7560, 7575, 7590, 7605, 7620, 7635, 7650, 7665, 7680, 7695, 7710, 7725, 7740, 7755, 7770, 7785, 7800, 7815, 7830, 7845, 7860, 7875, 7890, 7905, 7920, 7935, 7950, 7965, 7980, 7995, 8010, 8025, 8040, 8055, 8070, 8085, 8100, 8115, 8130, 8145, 8160, 8175, 8190, 8205, 8220, 8235, 8250, 8265, 8280, 8295, 8310, 8325, 8340, 8355, 8370, 8385, 8400, 8415, 8430, 8445, 8460, 8475, 8490, 8505, 8520, 8535, 8550, 8565, 8580, 8595, 8610, 8625, 8640, 8655, 8670, 8685, 8700, 8715, 8730, 8745, 8760, 8775, 8790, 8805, 8820, 8835, 8850, 8865, 8880, 8895, 8910, 8925, 8940, 8955, 8970, 8985, 9000, 9015, 9030, 9045, 9060, 9075, 9090, 9105, 9120, 9135, 9150, 9165, 9180, 9195, 9210, 9225, 9240, 9255, 9270, 9285, 9300, 9315, 9330, 9345, 9360, 9375, 9390, 9405, 9420, 9435, 9450, 9465, 9480, 9495, 9510, 9525, 9540, 9555, 9570, 9585, 9600, 9615, 9630, 9645, 9660, 9675, 9690, 9705, 9720, 9735, 9750, 9765, 9780, 9795, 9810, 9825, 9840, 9855, 9870, 9885, 9900, 9915, 9930, 9945, 9960, 9975, 9990

Answer 2

There is a total of 600 four-digit numbers which are divisible by 15 and this can be determined by using the arithmetic progression.

Given :

Four-digit numbers are divisible by 15 and have 15 as the two middle digits.

Arithmetic progression can be used to determine the total number of four-digit numbers which are divisible by 15.

So by simply calculating in mind, it can be easily found out that the first four-digit number which is divisible by 15 is 1005 and similarly the last four-digit number divisible by 15 is 9990.

The [tex]\rm T_{n}[/tex] term formula in the arithmetic progression is given by:

[tex]\rm T_n = a + (n-1)d[/tex]    ----- (1)

where 'a' is the first term, 'd' is the difference between two consecutive numbers, [tex]\rm T_{n}[/tex] is the last term in the progression, and 'n' is the total number of terms.

According to the given data the value of 'a' is 1005, the value of the last term [tex]\rm T_{n}[/tex] is 9990 and the difference 'd' is 15.

Put the values of a, d, and [tex]\rm T_{n}[/tex] in the equation (1).

[tex]9990=1005+(n-1)15[/tex]

8985 = (n - 1)15

599 = n - 1

n = 600

Therefore, there is a total of 600 four-digit numbers which are divisible by 15.

For more information, refer to the link given below:

https://brainly.com/question/13773036

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Answers

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Answers

Answer:

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Step-by-step explanation:

Both line segments share Q, which is the midpoint:

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~

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Answers

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

At the beginning of a population study, a city had 390,000 people. Each year since, the population has grown by 1.1%.
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Answers

Answer:

t=number of years since start of the study.

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Second year:

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Step-by-step explanation:


[tex] \frac{5}{8} < \frac{3}{8} x - \frac{1}{4} [/tex]
Solve the inequality and graph the solution.​

Answers

[tex] \sf \: \frac{5}{8} < \frac{3}{8} x - \frac{1}{4}[/tex]

[tex]\sf \longmapsto \frac{5}{8} < \frac{3}{8} x + \frac{ - 1}{4} [/tex]

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Graph attached

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B. Write the equation of the line

Answers

Answer:

y-intercept = 20

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Step-by-step explanation:

Slope: 5

Point: (2,30)

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1.[
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* A*
1
A
2. [.
1
Dilate
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Answers

Answer:

Reflect

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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[tex]x^{2} +11x-10[/tex]

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Answers

Answer:

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Step-by-step explanation:

12y+18=-4y+32

12y+18-18=-4y+32-18

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Answers

Answer:

90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Multiples of 9:

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Multiples of 30:

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Answers

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Answer:

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Step-by-step explanation:

Opposite angles in a parallelogram are congruent. Adjacent angles are supplementary.

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Answer:

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Answers

Answer:

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6. C.

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8. A.

9. B.

10. B.

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

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Answers

answer- percentage multipliers are used to calculate a percentage of an amount or used to increase or decrease an amount by a percentage.

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

The value of A is 2

Step-by-step explanation:

F = 2 , B = 3 , K = 10

K = F( A + B )

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10 = 2A + 6

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2A = 4

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FOR VERIFICATION ONLY :-

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-TheUnknownScientist 72

I will give brainliest

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Answers

9514 1404 393

Answer:

  8x -3y = 33

Step-by-step explanation:

Multiply by 3 to eliminate the fraction. Then rearrange to standard form.

  y +7 = 2/3(4x -6) . . . . . . . given

  3(y +7) = 2(4x -6) . . . . . . . multiply by 3

  3y +21 = 8x -12 . . . . . . . . eliminate parentheses

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_____

Standard form has mutually prime integer coefficients, the leading one being positive.

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Answers

hmmmmhmmmmmmmmmmmmmmmmmmmmmm

What is the slope of this graph?
A-4
B 1/4
C-1/4
D 4

Answers

Answer:

The answer is D

Step-by-step explanation:

The line has 2 points: (-1;0) and (0;-4)

=> x1 = -1; x2 = 0 => x1 - x2 = -1 - 0 = -1

   y1 = 0; y2 = -4 => y1 - y2 = 0 - 4 = -4

=> slope = (y1 - y2)/(x1 - x2) = [tex]\frac{-4}{-1}[/tex] = 4 => D

Find the slope of the line through the given points

Answers

m=4/1
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-3+(6)=3
7-(24)=-17
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Select the correct answer.
What is ?

A.

B.

C.

D.

Answers

Answer:

B. 7 1/2

Step-by-step explanation:

1. To solve this problem, we have to multiply 2 1/2 by the reciprocal of 1/3.

In other words, multiply 2 1/2 by the inverse of 1/3, which is 3.

2. (Solving)

[tex]2\frac{1}{2} *3[/tex] [tex]\frac{5}{2} *3[/tex] [tex]\frac{15}{2}[/tex] [tex]7\frac{1}{2}[/tex]

Therefore, the answer is B. 7 1/2.

Answer:

its B mark branli.est pls

Step-by-step explanation:

Look at attached link

Answers

The answer is -29/16
Have a great day/night !

Answer:

[tex]-1\frac{13}{16}[/tex]

Step-by-step explanation:

Hello There!

First let's put our equation to get started

[tex]-3\frac{5}{8}\cdot\frac{1}{2}[/tex]

We can make this an improper fraction by multiplying the integer with the denominator.

Then you would add the total you got with multiplying the total that you got from the whole number and the denominator

DefinitionAn integer is colloquially defined as a number that can be written without a fractional component

[tex]-\frac{29}{8} \cdot\frac{1}{2}[/tex]

Now we can solve it

[tex]-29\cdot1=-29[/tex]

[tex]8\cdot2=16[/tex]

Now our equation is

[tex]-\frac{29}{16}[/tex]

Reduce

Definition - reduction refers to the rewriting of an expression into a simpler form. For example, the process of rewriting a fraction into one with the smallest whole-number denominator possible

Once we've reduced we will have our equation being

[tex]-1\frac{13}{16}[/tex]

Have a good day :) !

Determine the slope of the line passing through (4,-2) and (7,10)?????

Answers

Answer: 4

Step-by-step explanation:

(4,-2) will be point 1, (7,10) will be point 2. The order doesn't matter.

slope = y2-y1 / x2 - x1

slope = 10 - (-2) / 7 - 4

slope = 12 / 3

slope = 4

The slope of the line that passing through (4, -2) and (7, 10) is 11/3.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

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

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

(4, -1) = (a, b) and (7, 10) = (c, d)

Slope:

= (d - b) / (c - a)

= (10 + 1) / (7 - 4)

= 11 / 3

Thus,

The slope is 11/3.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ2

7) f(x) = -x to the power of 2 -4 find f(1)

Answers

if f(x) = -x^2 - 4

then f(1) = -1^2 -4

f(1) = -5

If f(x) = (-x)^2 - 4

Then

f(1) = (-1)^2 - 4

f(1) = 1 - 4

f(1) = -3
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