"If a number divided by 4 leaves remainder 2 or 3", then which one is the correct statement 'n why?
(a) The number is not a perfect square.
(b) The number is a perfect square.
(c) The number is a prime number.
(d)None of these
Answer:
As the number is a prime number. Therefore, option 'c' is true.
Step-by-step explanation:
Let us take the number 7 and divide it by 4
[tex]\frac{7}{4}[/tex]
We know that
[tex]Quotient\frac{Remainder}{Divisor}[/tex]as
[tex]\frac{7}{4}=1\frac{3}{4}[/tex]
so the remainder is 3. ∵ [tex]Quotient\frac{Remainder}{Divisor}[/tex]
As 7 is a prime number, and when we divide the prime number 7 by 4, we get the remainder 3.
Thus, the number is a prime number. Therefore, option 'c' is true.
-x + y = 5
x - 5y = 2 ---> x= 5y + 2
I have solved the second equation for x. What is the next step if solving this system with substitution?
A. -(5y+2) + y = 5
B. -x + y = 5 + 5y + 2
C. None of the Above
D. -x + 5y + 2 = 5
Answer:
A. -(5y+2) + y = 5
Step-by-step explanation:
Solving the above Equation given to us in the Question,
-x + y = 5...... Equation 1
x - 5y = 2....... Equation 2
Step 1
We make x subject of the formula in Equation 2
---> x= 5y + 2
Step 2
This would be to substitute 5y + 2 for x in Equation 1
-x + y = 5...... Equation 1
-(5y+2) + y = 5
Hence, Option A is the correct option
Can someone please explain to me how to do this
Step-by-step explanation:
u should:
7t = t + 48 » 7t - t = 48 » 6t = 48 » t = 8
and another one is:
2u + t + 13 = 10t + u - 44» 2u + 8 + 13 = 80 + u - 44»
» 2u + 21 = u + 36 » 2u - u = 36 - 21 » u = 15
The discount of a hat is 18 Dollars,
what is the regular price
20°/• discount
Answer:
14.4 dollars
Step-by-step explanation:
the Hat has 20 percent discount
The Hat with discounted price is 18 dollars
the 20% of 18 dollar is 3.6 dollars
hence if we subtract 3.6 dollars from 18 dollars
we get 14.4 dollars as regular price
X^2+7x=-49 what is x?
Answer:
In x + 2 = 7, x is a variable, but we can work out its value
Step-by-step explanation:
Find the slope between the two points: (20, 8), (9, 16)
Answer:
[tex] \huge - \frac{8}{11} \\ [/tex]
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
From the question we have
[tex]m = \frac{16 - 8}{9 - 20} = \frac{8}{ - 11} = - \frac{8}{11} \\ [/tex]
We have the final answer as
[tex] - \frac{8}{11} \\ [/tex]
Hope this helps you
Answer:
[tex] \huge \boxed{ \boxed{ \tt - \frac{8}{11} }}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:linear equationslopePEMDASgiven:points:(20,8),(9,16)to find:slopetips and formulas:[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]let's solve:let (20,8) and (9,16) be start and end points respectively
according to the question
[tex] \sf\frac{8 - 16}{20 - 9} [/tex][tex] \sf substract : \\ \sf \frac{ - 8}{11} [/tex]and we are done
express the scientific notation:4830000000 with all formula
En un triangulo rectángulo, uno de los catetos mide 54 dm y su proyección sobre la hipotenusa, 32,4 dm. Calcula la medida de la hipotenusa
Answer:
63 dm (aproximadamente)
Explicación paso a paso:
Dada a medida dos dous lados do triángulo: 54 dm e 32,4 dm.
Dado que se afirma que o terceiro lado é o hipoteno, que é o lado máis longo dun triángulo rectángulo, o hipoteno (h) pódese obter así:
h = sqrt (54 ^ 2 + 32,4 ^ 2)
h = sqrt (2916 + 1049,76)
h = sqrt (3965,76)
h = 62,974280
h = 63 dm (aproximadamente)
what is 2 divided by 6
Answer:
2.333 repeating
Step-by-step explanation:
you divide 2 by 6 (srry i neede more characters)
you can do the repeat symbol by placing a slash over top of the 3rd 3
what is an equivalent expression for (6 powered by 4)to -1 powered
Answer:
1/1,296
Step-by-step explanation:
[tex]( {6}^{4} )^{ - 1} = {6}^{ - 4} = \frac{1}{ {6}^{4} } = \frac{1}{1,296} \\ [/tex]
The MagicSoft software company has a proposal to the city council of Alva, Florida, to relocate there. The proposal claims that the company will generate $3.3 million for the local economy by the $1 million in salaries that will be paid. The city council estimates that 70% of the salaries will be spent in the local community and 70% of that money will again be spent in the community, and so on. What is the correct estimate of the amount generated to the local economy?
Answer:
The correct estimate of the amount generated to the local economy is $3,333,333.[tex]\bar3[/tex]
Step-by-step explanation:
The amount the expected to be generated for the local economy = $3.3 million
The amount of salaries that will generate $3.3 million = $1 million
The percentage of the amount of the salaries and the subsequent earnings expected to be spent on the local community = 70%
Therefore, we have;
For a first amount of 1 million into the economy, the next amount to into the economy is 70/100 × 1 million = 700,000, then we have 70/100 × 700,000 and so on, which is a geometric sequence, with first term, a = $1 million, the common ratio, r = 70/100 = 0.7, the number of terms = Infinity = ∞
The sum of a geometric sequence to infinity is given as follows;
[tex]\sum\limits_{k = 0}^{\infty }a \cdot r^k = S_{\infty} = \dfrac{a}{1 - r}[/tex]
Substituting the known values gives;
[tex]\sum\limits_{k = 0}^{\infty }1,000,000 \times 0.7 ^k = \dfrac{1,000,000}{1 - 0.7}= 3,333,333.\bar 3[/tex]
Therefore, the correct estimate of the amount generated to the local economy by the $1 million salaries that will be paid = $3,333,333.[tex]\bar3[/tex].
Answer:
it A
Step-by-step explanation:
write .55 as a percent :(
Answer:
the answer is 55%, I hope this helps you :)
Write the equation of the line that is parallel to the graph of Y= 1/2x + 6 ,and whose y-intercept is -2.
Answer:
y= -2x-2
Step-by-step explanation:
help a girl out plz!! im confused
Answer:
30
Step-by-step explanation:
distribute the 5 to z and 4 --> 5z + 20
same with 5 to the 2 and -z --> 10-5z
5z + 20 + 10 - 5z = ? combind like terms
the z cancle out leaving 20 + 10 = ?
Answer:
20z-10z
Step-by-step explanation:
Distribute the 5 to both z and 4 which would make it 20z
Distribute the 5 to the 2 and -z which gives you 10z
Put them together and you get the answer
2x - x -1 = -1 + x
I need help on this problem may you help please
Answer:
x=0
Step-by-step explanation:
Given: AB || DC, AD || BC
Prove:
Answer:
Reasons:
2. Opposite interior angles
4. Opposite interior angles
5. Same line
6. Congruence
Step-by-step explanation:
Six less than a number is greater than 4. What is the smallest possible integer that would make this inequality true?
n - 6 > 4
Add six to both sides to solve.
n - 6 + 6 > 4 + 6
n > 10
I suppose the smallest integer would be 11.
15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:
Answer:
a
Step-by-step explanation:
wht is the volume of 729 cubed feet
Answer:
118085.765 hope this helps have a nice day please give me brainliest:)
Step-by-step explanation:
jackie rode his bike 20 miles per hour for 1 1/2 hours. how far did he ride?
Answer:
30 miles.
Step-by-step explanation:
To calculate distance traveled, you multiply the miles per hour by the number of miles. In this problem, it is 20 times 1.5 or 20 times 1 1/2. This equals 30 miles per hour.
Anybody else have to have google teach them something? (free pts)
Like i had to google something just to understand what it was.
Answer:
sometimes
Step-by-step explanation:
Answer:
Yes! All the time!
Step-by-step explanation:
Pls help. I don't know how to do this and pls don't answer if you don't know the answer.
Answer:
m = 3 5/18
All you need to do is rewrite the equation as 8 1/9- 4 5/6
If you ask a question will the points given ne deducted from your points
Answer:
I think so yeah. not sure though
Answer:
I think I kinda get this question but can you be a little more...Specific?
Step-by-step explanation:
Find the probability a house has at least 3 tvs
Answer:
1.1? i think
Step-by-step explanation:
2.06? I think is the answer to the question
One of the Great Pyramids in Egypt has the shape of a square pyramid with the base length of 20 feet, and the height of 150 feet tall. If the stones that were used to build the pyramid had a volume of 40 cubic feet each, how many stones did the Egyptians need to build the pyramid?
Answer:
500
Step-by-step explanation:
Given that:
Shape of one of the Great Pyramids in Egypt is a square pyramid.
Base of pyramid is of square shape with length = 20 feet
Height of pyramid = 150 feet
Volume of each stone used for the construction of the pyramid = 40 cubic feet
To find:
Number of stones used for the construction of the pyramid.
Solution:
First, we need to find the volume of the square pyramid and then we need to divide the volume of pyramid with the volume of one stone used for the construction.
It will give us the number of stones used for the construction of pyramid.
Volume of a pyramid is given as:
[tex]V = \dfrac{1}{3}\times \text{Area of base}\times Height[/tex]
Here, base is a square, so area of base = [tex](Side)^2[/tex]
[tex]V = \dfrac{1}{3}\times 20^2\times 150 = 400\times 50 ft^3[/tex]
Number of stones of 40 cubic feet each, required = [tex]\frac{400\times 50}{40}[/tex] = 500
Calculate the volume of the prism by first finding the total number of half-unit cubes that will fill it. There are 8 half-unit cubes in every unit cube. 12 1
Answer: 3
Step-by-step explanation: QPEX VERIFIED JUST DID IT
y < -6( x − 18) − 2 when y = 46?
Well since y would be 46 if this is just you trying to find x, the answer would be x < 10
The graph shows the number of students enrolled in a high school over a seven years period.
Help on this please
Answer:
I got 25
I really hope that helps
Answer:
I got B. 25
Step-by-step explanation:
B is your answer
whats the slope intercept form
Answer:
y=1+0b
Step-by-step explanation: