Answer:
17
Step-by-step explanation:
these positive integers are :
4, 64, 124, 184 ... , 964
964 = 4 + (n-1) (60)
964 = 4 + 60n -60
964 = 60n -56
60n = 1020
n = 1020/60
n = 17
so, the number of special integers smaller than 1000 are = 17
The digits n, n+1 and n+2 implies that the special numbers are consecutive i.e. they follow one another. The count of special numbers less than 1000 is 17.
Given that:
[tex]\{n,n+1,n+2\} = \{4,5,6\}[/tex]
[tex]Range = 1000[/tex]
First, calculate the LCM of 4, 5 and 6.
[tex]4 = 2 \times 2[/tex]
[tex]5 = 5[/tex]
[tex]6 = 2 \times 3[/tex]
So, the LCM is:
[tex]LCM = 2 \times 2 \times 5 \times 3[/tex]
[tex]LCM = 60[/tex]
This means that the special digit occurs after every other 60 digits (i.e. the difference between a special digit and another is 60)
To calculate the count of special digits, we make use of arithmetic progression formula
[tex]L = a + (n - 1) \times d[/tex]
Where
[tex]L = 1000[/tex] --- the last term
[tex]a = 4[/tex] --- the first special digit
[tex]d = 60[/tex] --- the common difference as explained above
So, we have:
[tex]L = a + (n - 1) \times d[/tex]
[tex]1000 = 4 + (n - 1) \times 60[/tex]
Collect like terms
[tex]1000 - 4 =(n - 1) \times 60[/tex]
[tex]996 =(n - 1) \times 60[/tex]
Divide both sides by 60
[tex]16.6 =n - 1[/tex]
Add 1 to both sides
[tex]1 + 16.6 =n[/tex]
[tex]17.6 =n[/tex]
Rewrite as:
[tex]n =17.6[/tex]
Remove the decimal part (do not approximate)
[tex]n =17[/tex]
Hence, the special numbers are 17 in total (that are less than 1000).
Read more about arithmetic progression at:
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What is the correct numeral for Seventy three lakh forty thousand fifteen ? *
1 point
73,40,015
73,40,105
73,4015
Answer:
1-73,40,015 your answer
. A cook buys six pumpkins. The mean mass of these pumpkins is 2,1 kg. The heaviest pumpkin, which has a mass of 3 kg, is used first. Calculate the mass of the remaining five pumpkins.
Answer:
9.6kg
Step-by-step explanation:
If the mean mass is 2.1 we can count the mass of these six pumpkins
the total mass of the pumpkins divided by the quantity of them is equal 2.1
TO find the mass multiply 2.1 by the quantity of them (6)
2.1*6=12.6 - the summary weight of six pumpkins
12.6-3=9.6 - the remainder after using the heaviest pumpkin
A player has 15 hits in 34 times at bat and then gets another hit. Did the batting average increase explain
I need Helpppp quick!!!!
Answer:
G
Step-by-step explanation:
let his fixed price be x and his hourly fee be y;
270 = 4y + x
420 = 7y + x
x is common in both equations
equate the two;
x = 270-4y and x = 420-7y
270-4y = 420-7y
3y = 150
y = 50
x = 270-4*50
x = 70
what is 0.7619047619 as a fraction?
Answer:
7619047619
10000000000
Step-by-step explanation:
Yeah big numbers:
To write 0.7619047619 as a fraction you have to write 0.7619047619 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
0.7619047619 = 0.7619047619/1 =
7.619047619/10 = 76.19047619/100 =
761.9047619/1000 = 7619.047619/10000 =
76190.47619/100000 = 761904.7619/1000000 =
7619047.619/10000000 = 76190476.19/100000000 = 761904761.9/1000000000 = 7619047619/10000000000
Hope this helps, have a good day :)
(brainliest would be appreciated?)
PLEASE HELP ASAP! Bonnie is making a dipping sauce. She mixes 150 milliliters of soy sauce with 100 milliliters of vinegar.
Answer:
150/100 , would calculate out to 3/2.
Step-by-step explanation:
lest say we split the mixes up in 50 , we would use soy sauce x(3) and vinegar 2 times.
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
Just remember that V=½×A×B×H
where B is the base not breadth.
solving this yourself will give you the answer.
In a school 125 students it was found that 60 students failed in Nepali, 45 failed in English and 30 failed in both subjects.1How many students succeeded in both subjects ?
ii) ? How many were failed only in Nepali?
iii) Represent above information in a venn – diagram.
Step-by-step explanation:
125 -30 = 95..
125 - 60 = 65
Whats the volume of a ball if diameter is 17
Answer:
818.8333333 *pi
or
Using the pi button on the calculator
2572.440785
Using 3.14 for pi
2571.13666666
Step-by-step explanation:
We need the radius
r = d/2
r = 17/2 = 8.5
We can find the volume using
V = 4/3 pi r^3
V = 4/3 pi ( 8.5)^3
V =818.8333333 *pi
Using the pi button on the calculator
2572.440785
Using 3.14 for pi
2571.13666666
What fraction can we use to rename 1/2 as tenths?
Answer:
5/10
Step-by-step explanation:
Hope it helped you
I am not confident, so feel free to give me less rating
Please help me ill give brainliest!!
Answer:
3744.64
Step-by-step explanation:
To know the answer to this question you need to know the formulas to find the volume of the cylinder and the rectangular prism. The volume of a cylinder is pi*r^2*h while the volume of the rectangular prism is l*w*h. The cylinder is 1808.64 cubic in while the rectangular prism is 1936 cubic. Together, they are 3744.64 cubic in.
Answer:
cylinder= A=πr²h
=3.14×4²×9
=452.16
rectangle=A=l×w×h
=19×11×11
=2299
total area=452.16+2299
=2751.16
Step-by-step explanation:
Find the length of the base and the height and calculate the area
Answer:
44
Step-by-step explanation:
base = 3- -5 = 8
height = 8 - -3 = 11
1/2 bh
1/2(8)(11) = 44
Given that h(x) = 5-2x, find the value(s) of x when h(x) =3
Answer:
x=1
Step-by-step explanation:
We have,
h(x) = 5-2x
h(x)=3
Now,
h(x)=5-2x=3
or,5-2x=3
or,5-3=2x
or,2/2=x
Therefore, x=1 when h(x)=3
Answer:
x = 1
Step-by-step explanation:
h(x) = 3
5 - 2x = 3
2x = 2
x = 1
|10-11| = simplify the expression
Answer:
1
Step-by-step explanation:
Let's ignore the absolute value signs for a moment.
We have the expression [tex]10-11[/tex]. We know that if we subtract 10 from 10 we get 0, so if we subtract 11 from 10 we must get -1.
However, there is an absolute value sign. This means that whatever number is inside it has to be converted to a positive number.
-1 as a positive number is +1, or just 1.
Hope this helped!
PLEASEE HELP ASAP........
Answer:
(C). 126
Step-by-step explanation:
[tex]\frac{45}{x}[/tex] = [tex]\frac{65}{182}[/tex]
x = 126
Answer:
Hello,
Answer C\\
Step-by-step explanation:
Triangle EUT is similar to triangle EGF
[tex]\dfrac{EU}{EG} =\dfrac{ET}{EF} \\\\\dfrac{140-90}{140} =\dfrac{45}{EF} \\\\\\EF=\dfrac{45*140}{50} \\\\\\RF=126\\\\Answer\ C\\[/tex]
please help me it for my homework
Answer:
0.45
Step-by-step explanation:
45%
=45÷100
=0.45 is decimal value
HELP ILL GIVE BRAINLIEST
Answer:
linear increasing
Step-by-step explanation:
For the section labeled B, the line goes up as x increases. This means the line is increasing
Answer:
Linear increasing
Step-by-step explanation:
The slope of interval B is constant since it's a straight line, which makes it linear. The line in interval B is pointing upward so it's increasing.
3.03 times 10^-3 in scientific nation
Answer:
3.03 • 10⁻³ is scientific notation
0.00303 is decimal form
type the correct answer in the box. use numerals instead of words. what value of x makes this equation true? x/6 - 7 = -4
[tex]\dfrac{x}{6}-7=-4\\\dfrac{x}{6}=3\\x=18[/tex]
Answer:
x = 18
Step-by-step explanation:
x/6 - 7 = -4
Add 7 to each side
x/6 - 7+7 = -4+7
x/6 = 3
Multiply each side by 6
x/6 *6 = 3*6
x = 18
If 150° and 3a are supplementary angles, find the value of a.
Answer:
a = 10
Step-by-step explanation:
Supplementary angles sum to 180° , so
150 + 3a = 180 ( subtract 150 from both sides )
3a = 30 ( divide both sides by 3 )
a = 10
find the value of x if 64=xmod9
64 = 63 + 1 = 7*9 + 1, so taken modulo 9, 64 is equivalent to x = 1.
What are the zeros of the polynomial function? f(x)=x^3+x^2−9x−9
Answer:
1: x = -1
2: x = 3
3: x = -3
Step-by-step explanation:
f(x)=x^3+x^2−9x−9
f(x)=x^2(x+1) −9x−9
f(x) = x^2(x+1) - 9(x+1)
f(x)= (x+1)(x^2-9)
f(x) =(x+1)(x-3)(x+3)
Answer:
[tex]\boxed{x=-1, \ x=-3, \ x=3}[/tex]
Step-by-step explanation:
The zeros of a function are the values of x when f(x) = 0.
[tex]x^3 +x^2-9x-9=0[/tex]
Factor left side of the equation.
[tex]x^2(x +1)-9(x+1)=0[/tex]
Take (x+1) common.
[tex](x^2-9)(x+1)=0[/tex]
Set factors equal to 0.
First possibility:
[tex]x^2 -9=0[/tex]
[tex]x^2 =9[/tex]
[tex]x=\± \sqrt{9}[/tex]
[tex]x=\± 3[/tex]
[tex]x=-3 \ \mathrm{or} \ x=3[/tex]
Second possibility:
[tex]x+1=0[/tex]
[tex]x=-1[/tex]
Which expression represents the measure of segment RS
Answer:
C. x + 5
Brainliest, please!
Step-by-step explanation:
RS = 4x + 1 - (3x - 4)
RS = 4x + 1 - 3x + 4
RS = x + 5
surface area of sphare
Surface area of sphere is what referred to as Total surface area or lateral surface area because here the surface is curved everywhere.
[tex] \large{ \boxed{ \rm{ \orange{Surface \: area \: of \: sphere = 4\pi {r}^{2} }}}}[/tex]
Total surface area of other 3-D shapes:
Cuboid = 2(lb + bh + hl)Cube = 4s²Cylinder = 2πr(r + h)Cone = πr(l + r)Hemisphere = 3πr²Lateral surface area of these shapes:
Cuboid = 2h(l + b)Cube = 6s²Cylinder = 2πrhCone = πrlHemisphere = 2πr²━━━━━━━━━━━━━━━━━━━━
Which angle is coterminal to StartFraction 3 pi Over 4 EndFraction radians? Negative StartFraction 5 pi Over 4 EndFraction radians Negative StartFraction 3 pi Over 4 EndFraction radians StartFraction 5 pi Over 4 EndFraction radians StartFraction 7 pi over 4 EndFraction radians
Answer:
The co-terminal angle of [tex]\frac{3\pi}{4}\ \text{radians}[/tex] is [tex]-\frac{5\pi}{4}\ \text{radians}[/tex].
Step-by-step explanation:
The angle provided is, [tex]\frac{3\pi}{4}\ \text{radians}[/tex].
Convert the angle into degrees as follows:
[tex]\frac{3\pi}{4}\ \text{radians}=\frac{3\times180^{o}}{4}=135^{o}[/tex]
Co-terminal angles are those angles that share the same terminal and initial sides.
To find the co-terminal angle of a provided angle, we just need to add or subtract 360° or 2π to it.
Determine the co-terminal angle of [tex]\frac{3\pi}{4}\ \text{radians}[/tex] as follows:
[tex]\text{Co-terminal Angle}=\frac{3\pi}{4}+2\pi[/tex]
[tex]=\frac{3\pi+8\pi}{4}\\\\=\frac{11\pi}{4}[/tex]
[tex]\text{Co-terminal Angle}=\frac{3\pi}{4}-2\pi[/tex]
[tex]=\frac{3\pi-8\pi}{4}\\\\=-\frac{5\pi}{4}[/tex]
Thus, the co-terminal angle of [tex]\frac{3\pi}{4}\ \text{radians}[/tex] is [tex]-\frac{5\pi}{4}\ \text{radians}[/tex].
Answer:
Its A
Step-by-step explanation:
edge
What is negative 14 minus 5
Answer:
-19
Step-by-step explanation:
(-14)
-5
-------
14+5=19
add the negative
-19
3. E, F and G are collinear points. E is between F and G.
If FE = 3 in., and FG = 7 in., what is the length of EG?
a. 4
c. 3
I
b. 10
d. 21
Answer:
A. 4 inStep-by-step explanation:
Collinear points are points that lies on the same straight line. If the points E, F and G are collinear points, then the three points lies on the same straight line.
If E is between F and G, the FE+EG = FG
EG = FG - FE
Given FE = 3 in and FG = 7 in
On substituting into the expression above to get EG;
EG = 7in - 3in
EG = 4in
Hence the length of EG is 4in
Which equation does the graph of the systems of equations solve? 2 linear graphs. They intersect at 1,4
Answer:
See below.
Step-by-step explanation:
There is an infinite n umber of systems of equations that has (1, 4) as its solution. Are you given choices? Try x = 1 and y = 4 in each equation of the choices. The set of two equations that are true when those values of x and y are used is the answer.
2. (01.01 MC)
Clifford is paid $4.50 per hour plus time and a half on holidays and makes an average of 18% tips on his food sales as a server at the local seafood restaurant. This is
modeled by the expression 4.50(x) + 4.50(1.5)(v) + 0.18(2). What is Clifford's gross pay if he worked 22 regular hours and 8 holiday hours and had $1,892 in food sales?
(2 points)
A 153$
B 475.56
C 493.56
X = regular hours, v is overtime
Replace the letters with the given hours and sales:
4.50(22) + 4.50(1.5)(8) + 0.18(1892)
Simplify:
99 + 54 + 340.56
Add everything together:
493.56
He made C. $493.56
A function assigns the values. Clifford's gross pay is $493.56. The correct option is C, $493.56.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given that the function to calculate total amount that is made by Clifford is modeled as,
A = 4.50(x) + 4.50(1.5)(v) + 0.18(d),
where x represents the regular hours, v represent the holiday hours and d represents the sales made by Clifford.
Now, as it is given that Clifford worked 22 regular hours and 8 holiday hours and had $1,892 in food sales. Therefore, if plug the values in the function then,
A = 4.50(x) + 4.50(1.5)(v) + 0.18(d)
A = 4.50(22) + 4.50(1.5)(8) + 0.18(1892)
= 99 + 54 + 340.56
= 493.56
Hence, Clifford's gross pay is $493.56.
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Anna is planting in her garden the package says she needs to use 4 punds od fertilizer for 120 sqft the area of annas yard is 180 how much fertilizer is needed for the 180 sqft garden
Answer:
6 pounds
Step-by-step explanation:
The area of Anna's garden = 180 square feet
From the question, we know that:
120 square ft = 4 pounds of fertilizer
180 square ft = y
Cross Multiply
120 × y = 4 × 180
y = 4 × 180/120
y = 720/120
y = 6 pounds
Therefore, the amount of fertilizer that is needed for Anna's 180 square feet garden is 6 pounds.