Answer:
True; this [tex]x[/tex] would indeed be a factor of [tex]z[/tex].
Step-by-step explanation:
"[tex]x[/tex] is a factor of [tex]y[/tex]" means that there is a whole number [tex]p[/tex] such that [tex]x\, p = y[/tex].
Likewise, [tex]y[/tex] is a factor of [tex]z[/tex] if and only if there is a whole number [tex]q[/tex] such that [tex]y\, q = z[/tex].
This [tex]x[/tex] would be a factor of [tex]z[/tex] if there is some whole number [tex]r[/tex] such that [tex]x\, r = z[/tex].
The first equality [tex]x\, p = y[/tex] implies that [tex]y[/tex] may be substituted with [tex]x\, p[/tex].
Substitute the [tex]y[/tex] in the second equality [tex]y\, q = z[/tex] with [tex](x\, p)[/tex] to obtain:
[tex](x\, p)\, q = z[/tex].
Rearrange to obtain:
[tex]x\, (p\, q) = z[/tex].
The product of two whole numbers is still a whole number. Since [tex]p[/tex] and [tex]q[/tex] are both whole numbers, [tex]p\, q[/tex] would also be a whole number.
Thus, if [tex]r = p\, q[/tex], then [tex]x\, r = x\, (p\, q) = z[/tex], while [tex]r[/tex] would be a whole number.
Therefore, this [tex]x[/tex] would indeed be a factor of [tex]z[/tex].
please help me I'm not good at math :(
the options are:
exactly one real solution
infinitely many solutions
no real solution
two real solutions
Answer: No real solution.
Step-by-step explanation:
Since the parabola never crosses the x-axis, there are no real solutions.
what is 7829 to the nearest 1000
Answer:
8000
Step-by-step explanation:
Since 8 is bigger than 5, you can increase it
7829 to the nearest ten: 7830
7829 to the nearest hundred: 7800
Hope this helps!
The value 829 > 500 thus rounding of 7829 to the nearest 1000 is 8000.
How do round any digit?To round up or down tens place then we need to look at the unit place if it is less than 5 then we need to keep it as it and if it is greater than 5 then we need to round up the tens digit.
For example round of 346 will, be350 and round of 344 will be 340
Given the digit,7829
9 → unit place
2 → tens place
8 → hundred place
7 → thousand place
In order to round to the nearest thousand we need to look at a hundred places if it is > 500 then we will round up.
Since 829 > 500 so 7829 → 8000
Hence "The value 829 > 500 thus rounding of 7829 to the nearest 1000 is 8000".
To learn more about rounding a digit,
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the graphs show information about the different journeys of 4 people
Answer:
sorry id like to help but i need more info.
Step-by-step explanation:
i hope this helps!
helppp please needed before tomorrow!!!!!!!!!!
Answer:
The function is 200+50t (t= # of months)
Step-by-step explanation:
The best way to do this is to look at the question, and see no matter what, we have to pay 200 dollars to start. After which, they charge 50 bucks a month. Knowing this, we can make a function using f(x). Let C(t)= cost. Included is that graph. So for these questions, we need to see that there is an independent and a dependent variable, and we need to see that cost is affected by time. Hope this helps.
A can contains 48 cups of fruit juice. How many gallons of fruit juice does the can contain?
Answer:
3
Step-by-step explanation:
I need a step by step explanation please on this please so I can understand it better
Answer:
P = 29 units
Step-by-step explanation:
Let h represent the height of the triangle. Then 2h is the length of the base. The area is given by ...
A = 1/2bh
36 = 1/2(2h)(h) = h²
h = √36 = 6
base = 2h = 12
The base of the isosceles triangle is 12 units, and its height is 6 units.
__
The altitude line makes a right angle with the base, dividing it into two right triangles with sides of length 6. The hypotenuse (s) of each of those is given by the Pythagorean theorem as ...
s = √(6² +6²) = 6√2
Then the perimeter of the triangle is ...
P = base +2s = 12 +2(6√2) = 12(1 +√2) ≈ 28.97 ≈ 29
The perimeter of the triangle is about 29 units.
_____
Additional comment
The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides.
For an isosceles right triangle, this means the hypotenuse is √2 times the side length. (This is a useful relationship to remember, as it is used a lot in algebra and geometry problems.) The acute angles in such a triangle are 45°.
AtQ
[tex]\\ \rm\hookrightarrow \dfrac{1}{2}(2x)(x)=36[/tex]
[tex]\\ \rm\hookrightarrow x^2=36[/tex]
[tex]\\ \rm\hookrightarrow x=6[/tex]
Base=12Apply Pythagorean theorem
[tex]\\ \rm\hookrightarrow H^2=6^2+6^2=36+36=72\implies H=8.5[/tex]
Perimeter
2(8.5)+12=17+12=29unitsWhat time is shown on the clock
Answer:
6: 56
Step-by-step explanation:
if cassey adds the following two equations, what multiple of the first equation will the sum represent?
x+y=5
2x+2y=10
A:2 B:3 C:4 D:5
Answer: 5
Step-by-step explanation:
Jamie owns a house painting service. for each house, she charges $70 plus $40 per hour of work. A linear equation that expresses the total amount of money Jamie earns per house is y=70+40x. What are the independent variables? What is the y-intercept and the slope?
Answer choices:
Answer:
Slope:40 Y-intercept: 70 (AKA, B)
Step-by-step explanation:
y=mx + b
(mx is slope, the x can show u where the slope is usually located.)
let me know if im wrong
Jimez has $27 in his pocket. Which is the least number of bills that he can have, assuming he could possibly have $1, $5, $10, and $20.
(A) 3
(B) 4
(C) 5
(D) 8
Answer:
4, because he could have a 20 a 5 and two ones.
Step-by-step explanation:
the function t(n) 8n represents the number of tires t(n) that are needed for n trucks. if t(n)=200. what is the value of n?
Step-by-step explanation:
if I understand correctly, then the function is
t(x) = 8x
now we know, that for a specific n
t(n) = 200
that means
200 = 8n
n = 200/8 = 25
the function tells us, that for 25 trucks we need 200 tires.
what is x????
please help!!!!
Answer:
x = 9
Step-by-step explanation:
4x + 38 = 10x - 16
The sum of two opposite interior angles is equal to the opposite exterior angle.
4x + 38 = 10x - 16
38 = 10x -16 - 4x
38 = 6x - 16
38 + 16 = 6x
54 = 6x
Divide both sides by 6
x = 9
875537= ? x 10^? i need help on this question
[tex]\huge \bf༆ Answer ༄[/tex]
The given value can be expressed as ~
[tex] \sf8.75537 \times 10 {}^{5} [/tex]The midpoint of \overline{\text{AB}} AB is M(0, -3)M(0,−3). If the coordinates of AA are (2, -5)(2,−5), what are the coordinates of BB?
The formating kinda screwed up
Using the mid-point concept, it is found that the coordinates of B are (-2, -1).
The mid-point of two points is the mean of the coordinates of each point.In this problem:
The points are: A(2, -5) and B(x,y).The mid-point is (0, -3).Applying the concept for both the x and y-coordinates, we have that:
[tex]\frac{x + 2}{2} = 0[/tex]
[tex]x + 2 = 0[/tex]
[tex]x = -2[/tex]
[tex]\frac{-5 + y}{2} = -3[/tex]
[tex]-5 + y = -6[/tex]
[tex]y = -1[/tex]
The coordinates of B are (-2, -1).
To learn more about the mid-point concept, you can take a look at https://brainly.com/question/10956693
What is the common ratio for the geometric sequence below, written as a fraction? 768, 480, 300, 187. 5, … /.
The common ratio for the given geometric sequence, written as a fraction is [tex]\frac{5}{8}[/tex]
Given the following geometric sequence:
768, 480, 300, 187. 5To determine the common ratio for the given geometric sequence:
The common ratio of a geometric sequence refers to the ratio or constant factor between two (2) consecutive numbers in the sequence.
Mathematically, the common ratio of a geometric sequence is given by the formula:
[tex]C=\frac{T_{n+1}}{T_n}[/tex]
Substituting the given parameters into the formula, we have;
[tex]C = \frac{300}{480} \\\\C=\frac{30}{48} \\\\C=\frac{5}{8}[/tex]
Read more: https://brainly.com/question/13162487
10,000 candy canes was divided into 50 boxes. How many candy canes were in each box?
Answer:
200
Step-by-step explanation:
solve: 3(2x+7) S 6(x-4)
Answer:
no solution
Step-by-step explanation:
3(2x + 7) ≤ 6(x - 4) ← divide both sides by 3
2x + 7 ≤ 2(x - 4)
2x + 7 ≤ 2x - 8 ( subtract 2x from both sides )
7 ≤ - 8 ← False statement
This means the inequality has no solution
what is this using Distributive property 6(n + 4)
Answer:
6n + 24
Step-by-step explanation:
Mean of 72, 75, 78, 72, 73
to find the mean you add all the numbers together
72 + 75 + 78 + 72 + 73 = 370
then you divide by the number of numbers there are
370/5= 74
74
72+75+78+72+73 = 370
370/5 = 74
Lucia brought 13 2/5 pitchers of juice to a volleyball game, and the players drank 5 4/5
pitchers of it. How much juice is left?
Write your answer as a fraction or as a whole or mixed number.
Answer:
7 3/5 or 38/5
Step-by-step explanation:
13 2/5 - 5 4/5 = 38/5 = 7 3/5
Work out the area of triangle ABC.
Answer:
A = 4 cm²
Step-by-step explanation:
The area of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
b = AC = 3[tex]\sqrt{2}[/tex] + [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex]
h = BD
Calculate BD using Pythagoras' identity in Δ ABD
BD² = AB² - AD²
= (2[tex]\sqrt{5}[/tex] )² - (3[tex]\sqrt{2}[/tex] )²
= 20 - 18 = 2 ( take square root of both sides )
BD = [tex]\sqrt{2}[/tex]
Then
A = [tex]\frac{1}{2}[/tex] × 4[tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 2 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 4 cm²
Ashley is bagging 32 pumpkin mut
some friends. Each bag will hold only one type of muffin.
will number
of muffins she can put in each bag? How many bags of each type
of muffin will there be?
Answer:
4 of each, 8 pumpkin bags, 7 banana bags
Step-by-step explanation:
4 is the GCF of 32 and 28.
Divide each number by 4
Its very hard so brainly is very helpful
Answer: What question do you need help with?
Answer:
do u eat cat litter
Step-by-step explanation:
Solve the following systems of equations by substitution or graphing.
Answer:
Answer:
Speed of the wave in the string will be 3.2 m/sec
Explanation:
We have given frequency in the string fixed at both ends is 80 Hz
Distance between adjacent antipodes is 20 cm
We know that distance between two adjacent anti nodes is equal to half of the wavelength
So \frac{\lambda }{2}=20cm
2
λ
=20cm
\lambda =40cmλ=40cm
We have to find the speed of the wave in the string
Speed is equal to v=\lambda f=0.04\times 80=3.2m/secv=λf=0.04×80=3.2m/sec
So speed of the wave in the string will be 3.2 m/sec
100 points
Suppose a recipe calls for 2 1/2 cups of liquid made of milk and water. If 1 2/3 cups of milk are used, how much water is needed?
Answer:
1/3 * 3 = 1 cup of milk
1/2 * 3 = the amount of water needed per cup of milk
1/2 * 3 = 3/2 or 1.5
The recipe calls for 1.5 cups of water per cup of milk.
Hope this helps!
The quantity of water in the liquid is 5/6 cups
How to subtract fractionTotal cups of liquid (milk and water) = 2 1/2 cupsIf cups of milk = 1 2/3 cupsWater = Total cups of liquid - cups of milk
= 2 1/2 - 1 2/3
= 5/2 - 5/3
The least common denominator is 3× 2 = 6= (15-10) / 6
= 5/6 cups
Learn more about fraction:
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slopes of a quadrilateral please hurry before a bot attacks me ive been attacked all day. Multippe choice.
Answer: 3rd one got it right on mine
Step-by-step explanation:
3.8 : (4c+3) = 2 : 2/19I’d appreciate itCorrect answer will be named brainlist
Answer:
c = -0.7
Step-by-step explanation:
It looks like you have the proportion ...
[tex]\dfrac{3.8}{4c+3}=\dfrac{2}{\left(\dfrac{2}{19}\right)}\\\\0.4=2(4c+3)\qquad\text{cross multiply}\\\\0.4=8c+6\qquad\text{eliminate parentheses}\\\\-5.6=8c\qquad\text{subtract 6}\\\\\boxed{c=-0.7}\qquad\text{divide by 8}[/tex]
Answer:
c = -0.7
Step-by-step explanation:
[tex]\rm⇢ \: \: \frac{3.8}{(4c + 3)} = \frac{2}{( \frac{2}{19} )} [/tex]
[tex]\rm⇢ \: \: 2(4c + 3) = 3.8( \frac{2}{19} )[/tex]
[tex]\rm⇢ \: \: 8c + 6 = 0.4[/tex]
[tex]\rm⇢ \: \: 8c = - 5.6[/tex]
[tex]\rm⇢ \: \: c = - 0.7[/tex]
Determine whether the relation is a function. (8, 5), (6, "-2)," (4,-9), (2, "-6)," (4,7)
Yes Or No
Answer: No
Step-by-step explanation:
Because 4 is used 2 times in the x coordinates it is NOT a function
fill in the table of values for y=2x+3
Answer:
2 4 2 y-3
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Yan po answer
53:24
Which statement about the function is true?
The graph of the function f(x) = -(x + 3)(x - 1) is
shown below.
The function is positive for all real values of x
where
x 1.1
6
27
O The function is negative for all real values of x
where
x <-3 and where x > 1
The function is positive for all real values of x
where
x > 0
The function is negative for all real values of x
where
X<-3 or x>-1
-6
4
2.
4
6
х
-2
-2
4
Mark this and return
Save and Exit
Next
Submit
Answer:
25
Step-by-step explanation: