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
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
write y+7 = 2/3 (4x-6) in standard form using integers
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
33 = 8x -3y . . . . . . . . . . add 12-3y to both sides
8x -3y = 33 . . . . . . . . . swap sides to put into standard form
_____
Standard form has mutually prime integer coefficients, the leading one being positive.
7) f(x) = -x to the power of 2 -4 find f(1)
question 6 please! ❤️
Answer:
1. Correct
2. C.
3. C.
4. Correct
5. Incorrect. Answer: C. (The constant term is the term with no variable.)
6. C.
7. B.
8. A.
9. B.
10. B.
At the beginning of a population study, a city had 390,000 people. Each year since, the population has grown by 1.1%.
Let t be the number of years since start of the study. Let y be the city's population.
Write an exponential function showing the relationship between y and t.
Answer:
t=number of years since start of the study.
y=city´s population.
first year:
y=390,000+0.073(390,000)=390,000(1+0.073) (=418470)
Second year:
y=(390,000(1+0.073) + 0.073(390,000(1+0.073) =
=390,000(1+0.073) (1+0.073)
=390,000(1+0.073)²
(≈449,018.31)
Third year: if you calculate it you would have:
y=390,000(1+0.073)³
Fourth year: if you compute it you would have:
y=390,000 (1+0.073)⁴
t th year:
y=390,000(1+0.073)^t
Answer: y=390,000(1+0.073)^t
Step-by-step explanation:
solutions: ( x = 2 & x = -2 )
hmmmmhmmmmmmmmmmmmmmmmmmmmmm
What is the slope of this graph?
A-4
B 1/4
C-1/4
D 4
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
A house has increased in value by 3% each year. It was worth £150000 4 years ago. How much is it worth now? Give your answer to a sensible degree of accuracy. morto
Answer: 350000
Step-by-step explanation: Hope this helps :) (if wrong please make sure next time add answer that can be picked from it better or if theres no answers maybe give some more detail?)
whats the answer to g^-1(1)
Answer:
g^-1
Step-by-step explanation:
g^-1 times 1
is g^-1
Answer:
1/g
Step-by-step explanation:
g^-1(1)
= g^(-1 * 1)
= g^(-1)
= 1/g
Hence, g^-1(1) is 1/g
Hope this helps and be sure to have a wonderful time ahead at Brainly! :D
solve the variables for x,y,z
9514 1404 393
Answer:
x = z = 98°
y = 82°
Step-by-step explanation:
Opposite angles in a parallelogram are congruent. Adjacent angles are supplementary.
x = z = 180° -82° = 98°
y = 82°
Answer:
82°+nx360°
82°+1×360°
82°+360
so the answer is
x=z=98°
y=82°
Look at attached link
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]
ReduceDefinition - 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)?????
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
solve for y: 1/2(4y+6)=4-2(y-6)/3
Answer:
y = 7/8
Step-by-step explanation:
12y+18=-4y+32
12y+18-18=-4y+32-18
12y=-4y+14
12y+4y=-4y+14+4y
16y=14
16y/16=14/16
y = 7/8
Answer ASAP please<3
Step-by-step explanation:
So if you multiply both the numerator and denominator by the same number, you get the initial number. Your goal here is to get the same denominator so that you can solve the problem easily! hope it helped!
Write an equation in slope-intercept form for the line that has a slope of 5 and passes through the point (2, 30).
A. Determine the y-intercept
B. Write the equation of the line
Answer:
y-intercept = 20
y = 5x + 20
Step-by-step explanation:
Slope: 5
Point: (2,30)
y-intercept: 30 - (5)(2) = 30 - 10 = 20
If K = F( A + B ) , find “ A ” if F = 2 , B = 3 , K = 10
Answer:
The value of A is 2
Step-by-step explanation:
F = 2 , B = 3 , K = 10
K = F( A + B )
10 = 2(A + 3)
10 = 2A + 6
Now, Subtract 6 from each side we get,
10 - 6 = 2A + 6 - 6
4 = 2A
2A = 4
Now, divide both side by 2 we get,
2A/2 = 4/2
A = 2
Thus, The value of A is 2
FOR VERIFICATION ONLY :-K = F( A + B )
10 = 2(2 + 3)
10 = 2(5)
10 = 10
L.H.S = R.H.S
Hence Proved!
-TheUnknownScientist 72
Find the slope of the line through the given points
What is the diameter of a circular swimming pool with the radius of 8 feet
What is a percentage multiplyer
Least common mutiple. for 9 and 30?
Answer:
90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
Multiples of 9:
9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99,
Multiples of 30:
30, 60, 90, 120
Hope this is helpful.
Solve the inequality and enter your solution as an inequality
3x < 12
Answer:
x < 4
Step-by-step explanation:
[tex]3x < 12\\\rule{150}{0.5}\\3x < 12\\\\\frac{3x<12}{3}\\\\\boxed{x < 4}[/tex]
Hope this helps.
I will give brainliest
Which measure do we use to describe data when there is
NOT an outlier?
How does this change when there is an outlier?
Was there an outlier in your data? If so, which number(s)?
My data set
30
20
3
7
7
1
5
30
5
20
5
30
Answer:
1.............I hope its help
How was
Figure A transformed
to become Figure A"?
1.[
?
* A*
1
A
2. [.
1
Dilate
Reflect
Answer:
Reflect
Step-by-step explanation:
Answer:
1. Dilate
2. Rotate
Step-by-step explanation:
Which of the following represents 3 times the sum of 3
and 8?
Answer:
The expression would be (x + 3)(x - 8) and if we multiplied those together we would get x^2 - 5x - 24
Step-by-step explanation:
Convert 3 feet to inches
Answer:
36 inches
Step-by-step explanation:
12 inches in a foot, 3×12=36
Answer:
36 inches
Step-by-step explanation:
Select the correct answer.
What is ?
A.
B.
C.
D.
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:
What is the sale price of jeans which regularly cost $28, but now are 10% off ?
Answer:
25.20
Step-by-step explanation:
Hope this helps!!! :)))
(13x2+9x-4)-(12x2-2x+6)
add or subtract the polynomials
Answer:
[tex]x^{2} +11x-10[/tex]
Step-by-step explanation:
[tex](13x^{2} +9x-4)-(12x^{2} -2x+6)[/tex]
Remove the brackets and multiply the minus sign through all the numbers in the second polynomial
[tex]13x^{2} +9x-4-12x^{2} +2x-6[/tex]
Rearrange in the highest order
[tex]13x^{2} -12x^{2} +9x+2x-4-6[/tex]
Simplify
[tex]x^{2} +11x-10[/tex]
80% of __ is 16 help
Answer:
80% of 20 is 16.
Step-by-step explanation:
Hello darling, the answer is 20 ^^
[tex] \frac{5}{8} < \frac{3}{8} x - \frac{1}{4} [/tex]
Solve the inequality and graph the solution.
[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]
[tex]\sf \longmapsto \frac{3}{8} x + \frac{ - 1}{4 } > \frac{5}{8} [/tex]
[tex]\sf \longmapsto \frac{3}{8} x + \frac{ -1 }{4} + \frac{ - 1}{4} > \frac{5}{8} + \frac{1}{4} [/tex]
[tex]\sf \longmapsto \frac{3}{8} x > \frac{7}{8} [/tex]
[tex]\sf \longmapsto( \frac{8}{3} ) \times (\frac{3}{8} x) > (\frac{8}{3} ) \times ( \frac{7}{8} )[/tex]
[tex]\sf \longmapsto \: x > \frac{7}{3} [/tex]
Graph attachedPQ = 7 and QR = 5 find PR
Answer:
12
Step-by-step explanation:
Both line segments share Q, which is the midpoint:
PQ + QR = PR
Plug in the corresponding numbers to the corresponding variables:
PQ + QR = PR
PR = 7 + 5
PR = 12
12 is your answer.
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