a number set consists of {4，5，6，7}。How many 2-digit combinations of numbers from the data set can be divided by 3？
Answer:
5
Step-by-step explanation:
This trick works with 3:
If the sum of the digits of a number is divisble by 3 then the number is divisble by 3.
44 is not divisble by 3 because 4+4=8 is not divisble by 3.
45 is divisble by 3 because 4+5=9 is divisble by 3.
46 is not divisble by 3 because 4+6=10 is not divisble by 3.
47 is not divisble by 3 because 4+7=11 is not divisble by 3.
54 is divisble by 3 because 5+4=9 is divisble by 3.
55 is not divisble by 3 because 5+5=10 is not divisble by 3.
56 is not divisble by 3 because 5+6=11 is not divisble by 3.
57 is divisble by 3 because 5+7=12 is divisble by 3.
64, 65,67 are not divisble by 3 because their digits' sums are 10,11, and 13 respectively. 66 is a winner because 6+6=12 is divisble by 3.
Finally 7...
74,76,77 are not divisble by 3 because their digits' sums are 11,13, and 14 respectively. 75 is divisble by 3 because 7+5=12 is divisble by 3.
The victors are
45
54
57
66
75
Solve the inequality.
-4 < 2x - 6 < 12
[?]
Hi ;-)
-4 ≤ 2x - 6 ≤ 12
2x - 6 ≥ -4 / + 6
2x ≥ 2 / : 2
x ≥ 1
2x - 6 ≤ 12 / + 6
2x ≤ 18 / : 2
x ≤ 9
1 ≤ x ≤ 9NẾU BẠN BÌNH CÓ 34 QUẢ TÁO, BẠN AN LẤY ĐI TỔNG CỘNG 23 QUẢ. HỎI AN CÓ BAO NHIÊU QUẢ TÁO
Answer:
Bạn An có 23 quả táo
Step-by-step explanation:
Vì AN lấy đi 23 quả táo nên số táo vẫn bằng như thế
HELP HELP HURRYYY the product of two numbers is rational. The first number is 3 sqrt2. What is the possible value of the other number?
The possible value of the other number will be 7√32. The correct option is D.
What is a rational number?A rational number is one that can be stated mathematically as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively. For instance, every integer and 3/7 are rational numbers.
It is given that the first number is 3√2 the value of the second number will be:-
Rational number = 3√2 x 7√32
Rational number = 21√64
Rational number = 21√( 8 x 8 )
Rational number = 21 x 8
Rational number = 168
Therefore, the possible value of the other number will be 7√32. The correct option is D.
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Give the geometric representation of 2x+ 1= x-4 as an equation in (a) one variable (b) two variables
please help
Answer:
Step-by-step explanation:
2x+1=x-4
2x-x= -4-1
1x=-5
x=-5why reason distance cannot be negative?
Answer:
Distance cannot be negative because no matter which direction you travel, you will never travel negative units.
Step-by-step explanation:
Distance cannot be negative in the same way that when you put a car in reverse, the odometer does not go backwards.
If you have a mailbox 30 feet east of your house and a park 30 feet west of your house, you can think of it like a number line: your house is 0, the park is -30 and the mailbox is 30. But, if you walk to your park, you have not walked -30 feet.
can someone solve this for me and explain it please
Answer:
Answer is Triangle P'R'Q' is larger, explain how you know is steps
Step-by-step explanation:
So a Dilation is the expansion or shrinkage of an object. Because this is being dilated by 1.5 it is growing by 1.5
So triangle PRQ is the smaller version of P'R'Q' because
Line PR = 3.1
Line RQ = 3.9
Line QP = 5
Multiplying these by 1.5 you get
Line P'R' = 4.65
Line R'Q'= 5.85
Line Q'P' = 7.5
Which choice is equivalent to the product below when x > 0?
Square root of 2/x time square root of x^2/8
Answer:
A.
[tex] \sqrt{x } \div 2[/tex]
is the answer
The choice which is equivalent to [tex]\sqrt{\frac{2}{x}}\cdot\sqrt{\frac{x^2}{8}}[/tex] is given by (A) [tex]\frac{\sqrt{x}}{2}[/tex].
What is expression?Expression is a mathematical term that involves variables, numbers and other mathematical quantities and operations or combinations of them.
The given expression is [tex]\sqrt{\frac{2}{x}}\cdot\sqrt{\frac{x^2}{8}}[/tex]
Calculating the expression we get,
[tex]\sqrt{\frac{2}{x}}\cdot\sqrt{\frac{x^2}{8}}=\sqrt{\frac{2}{x}\cdot\frac{x^2}{8}}=\sqrt{\frac{x}{4}}=\frac{\sqrt{x}}{2}[/tex]
So the expression equals to [tex]\frac{\sqrt{x}}{2}[/tex].
Hence the correct option is (A).
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85% of what number is 27.2
what is -5x-x?
thank you!
Answer:
-5x-x=-6x
hope this helps you
Answer:
-6x
Step-by-step explanation:
-5x-x
add like terms
-6x
A new car sales person, sold an average of $46,975 per day for the first two days she worked. The next one days she worked, she sold an average of $45,765. How much did she sell on average per day over the entire time she worked?
Answer:
$46,571.67
Step-by-step explanation:
if your description is right and complete, she sold cars on the first 2 days as average for $46975.
and on the third day for $45765
to calculate the total average we need to know the total amount of sales and then divide it by the observation period length (3 days).
how do we get the total sales ?
we know the average of the first 2 days. we don't need to find the exact value for every day, but we know the exact value for these first 2 days : 2×46975 = $93950
as the average of these 2 days = (day1 + day2)/2
46975 = (day1 + day2)/2
day1 + day2 = 2×46975 = 93950
it is not important what two (day) numbers created 93950. we know that this was the total sum of the first two days. and that is enough.
so, we have in total
$93950 on the first 2 days
$45765 in the third day
-------------
$139715 for all 3 days
the average per day is then
139715 / 3 = $46,571.67
find the range of possible values for x
[tex]\\ \rm\longmapsto x-5=41[/tex]
[tex]\\ \rm\longmapsto x=41+5[/tex]
[tex]\\ \rm\longmapsto x=46[/tex]
Hence
[tex]\\ \rm\longmapsto 45<x<47[/tex]
If S is directly proportional to t squared and s= 8 when t= 4 find the value of s when t= 3
Answer:9/2
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation:
k=8÷16=0.5
s=0.5×3=1.5
8.
Find the number of real number solutions for the equation. x2 – 10x + 25 = 0
A. 0
B. 1
C. 2
D. cannot be determined
Answer:
B. 1
Step-by-step explanation:
Answer:
Option B is correct
The number of real number solutions for the given equation is, 1.
Step-by-step explanation:
Given the equation:
Since, this is a quadratic equation of the form of
where a =1 , b = -10 and c =25.
The discriminant of a quadratic equation is,
then;
Discriminant = = (100-100) = 0
Since, a discriminant of zero means there is only one real solution for x.
Substitute the given values.
Simplify:
x = 5
Therefore, the number of real solution for the given equation is, 1
Need help ASAP please
Answer:
Terms for 4a^2-5a-3: 4a^2, -5a, -3
Terms for Equation 2 is correct.
Constants for 4a^2-5a-3: -3
Constants for Equation 2 is correct.
Coefficients for 4a^2-5a-3: 4, -5
Coefficients for Equation 2: 7, -3
Step-by-step explanation:
Uma indústria produz mensalmente x lotes de um produto. O valor mensal resultante da venda deste produto é V(x) = 3x² + 400x e o custo mensal da produção é dado por C(x) = 5x² − 100x − 540. Sabendo que o lucro é obtido pela diferença entre o valor resultante das vendas e o custo da produção, calcule:
A) O número de lotes de produtos para maximizar o lucro?
B) Qual o lucro Mensal a indústria pode alcançar?
Answer:
The answer would be A
Step-by-step explanation:
Which is the equation of the line that passes through (6, 2) and is perpendicular to a line with slope -1/3?
Answer:
(c) y = 3x - 16 or y - 2 = 3(x - 6)
Step-by-step explanation:
To be perpendicular, the slope must be the negative inverse of the other line,
so we know the slope must be -(-3/1) = 3
then the general point-slope form is
y = mx + b (m = slope and b = y-intercept) so
y = 3x + b (then use the point given (6,2) to find m)
2 = 3(6) + b
2 = 18 + b
2 - 18 = b
-16 = b
then
y = mx + b
y = 3x - 16
help me find the area pls
5.
A bank statement shows transactions of -$10.40 and $8.50.
A. Do these transactions represent deposits or withdrawals?
Plz help
A negative value is when money is taken out ( withdrawal). A positive value is when money is added to the account(deposit)
-10.40 is a withdrawal
8.50 is a deposit
Answer:
Hint :- Withdrawal is denoted as the -ve sign and deposit are denoted by the +ve sign. This is because if we deposit money then the money increase and if we withdraw then the money decreases.
-10.40
See there is a negative sign. This means it is a withdrawal
8.50
See there is a positive sign. This means it is a deposit
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
4x + 2y = -18
Answer:
Submit Answer
attestato
PLSSS HELP ASAP
8a=4(a-9)
Show work I need help
Answer:
a = -9
Step-by-step explanation:
8a=4(a-9)
Divide each side by 4
8a/4=4(a-9)/4
2a = a-9
Subtract a from each side
2a-a = a-9-a
a = -9
Answer:
-9
Step-by-step explanation:
8a = 4(a-9)
Use the distributive property (Multiply 4 times a, and 4 times -9)
8a = 4a - 36
Bring the 4a to the other side
8a - 4a = -36
Add like terms
4a = -36
Divide both sides by 4 to get a by itself
a = -9
3.9015 to the nearest thousandth
Answer:
3.902.
Step-by-step explanation:
3. 9015:
The 10 thousandth digit is 5 so you round up the 1 to 2.
Two cars leave towns 760 kilometers apart at the same time and travel toward each other. One car's rate is 20 kilometers per hour less than the other's. If they meet in 4 hours, what is the rate of the slower car?
Answer:
Let speed of slower car be xkm/h
Therefore rate of other car=x+20 km/h
After 4 hrs ,
Distance covered by Car A=4x
Distance covered by Car B=4x+80
4x+4x+80=760km
8x=680
x=45
The rate of the slower car=45km/h
what is 5tx+4t=???
????????????
Answer:
t(5x + 4)
Step-by-step explanation:
im not entirely sure if this is correct
Answer:
t×(5x+4)
Step-by-step explanation:
factor out t from the expression
Is 9.5 an irrational number
Answer:
yes it is.....................
Step-by-step explanation:
9.5 = 19/2
So it is a rational number (and so is not irrational)
The perimeter of an equilateral triangle is 15 inches more than the perimeter of a square, and the side of the triangle is 7 inches longer than the side of the square.
Find the side of the triangle (Hint: An equilateral triangle has three sides the same length.)
The side of the triangle is __in3. - in. - in2.
29 dekagrams equals 2900 what
Answer:
It equals 2900 decigrams
Step-by-step explanation:
29 dekagrams = 290 grams
290 grams = 2900 decigrams
Therefore, 29 dekagrams = 2900 decigrams
The equivalent weight in grams for a given weight in dekagrams is approximately 10 times the weight in dekagrams.
To find the equivalent weight in grams for a given weight in dekagrams, you can use the conversion factor that 1 dekagram (dag) is equal to 10 grams.
Given the information that 29 dekagrams equals 290 grams, you can set up a proportion:
[tex]\(\frac{29 \text{ dag}}{290 \text{ g}} = \frac{1 \text{ dag}}{x \text{ g}}\)[/tex]
Cross-multiplying:
[tex]\(29x = 290 \times 1\)[/tex]
Solving for x:
[tex]\(x = \frac{290}{29}\)\\\\\(x \approx 10\)[/tex]
Therefore, the equivalent weight in grams for a given weight in dekagrams is approximately 10 times the given weight in dekagrams.
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Complete Question:
If 29 dekagrams equals 290 grams, what is the equivalent weight in grams for a given weight in dekagrams?
This hyperbola is centered at the origin. Find its equation. Foci: (-9,0) and (9,0) Vertices: (-2,0) and (2,0)
Answer:
Step-by-step explanation:
focus distance=9
a=2 f²=a²+b² ==> b²=9²-2²=77 ==> b=√77
[tex]\dfrac{(x-0)^2}{2^2}- \dfrac{(y-0)^2}{77}=1\\\\\\\boxed{\dfrac{x^2}{4}- \dfrac{y^2}{77}=1}\\[/tex]
Equation of hyperbola is [tex]\frac{x^{2} }{4} -\frac{y^{2} }{77} =1[/tex].
What is hyperbola?Hyperbola is defined as an open curve having two branches which are mirror images to each other.
A plane curve generated by a point so moving that the difference of the distances from two fixed points is a constant : a curve formed by the intersection of a double right circular cone with a plane that cuts both halves of the cone.
Given
Foci: (-9, 0) and (9, 0)
Foci: (±9, 0)
Vertices: (-2,0) and (2,0)
Vertices: (±2, 0)
So, a = ±2, c = ±9
Now [tex]c^{2} =a^{2} +b^{2}[/tex]
[tex]b^{2} =c^{2} -a^{2}[/tex]
[tex]b^{2} =9^{2} -2^{2}[/tex]
[tex]b^{2} =81-4[/tex]
[tex]b^{2} =77[/tex]
Equation of hyperbola is
[tex]\frac{x^{2} }{a^{2} } -\frac{y^{2} }{b^{2} } =1[/tex]
⇒ [tex]\frac{x^{2} }{4} -\frac{y^{2} }{77} =1[/tex]
Hence, equation of hyperbola is [tex]\frac{x^{2} }{4} -\frac{y^{2} }{77} =1[/tex].
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HELP!! Will mark as brainliest!!!
In school, pupils study one language.
They choose either French, Spanish or Italian.
3/20 of the pupils study Italian and 5/8 of the pupils study French
What fraction of the pupils study Spanish?
Answer:
19/40
Step-by-step explanation:
mark meeeeeee
x square add 7x subtract 30 factorize
