9514 1404 393
Answer:
15
Step-by-step explanation:
When the smaller number is a divisor of the larger one, it is their highest common factor.
HCF(15, 45) = 15
Helpppppppppppppppp please y’all
[tex]\sf{3. \ \ Given : \dfrac{2}{3} - \dfrac{5}{4} + \dfrac{7}{2}}[/tex]
Let us solve the first two fractions : The LCM of 3 and 4 is 12
[tex]\sf{\implies \dfrac{4(2) - 5(3)}{12} + \dfrac{7}{2}}[/tex]
[tex]\sf{\implies \dfrac{8 - 15}{12} + \dfrac{7}{2}}[/tex]
[tex]\sf{\implies \dfrac{-7}{12} + \dfrac{7}{2}}[/tex]
LCM of 2 and 12 is 12
[tex]\sf{\implies \dfrac{-7 + 7(6) }{12}}[/tex]
[tex]\sf{\implies \dfrac{-7 + 42}{12}}[/tex]
[tex]\sf{\implies \dfrac{35}{12}}[/tex]
[tex]\sf{\implies 2 +\dfrac{11}{12}}[/tex]
[tex]\sf{\implies 2 \dfrac{11}{12}}[/tex]
---------------------------------------------------------------------------------------
[tex]\sf{4. \ \ Given : \dfrac{(2 - 7)^2 + 5}{3}}[/tex]
[tex]\sf{\implies \dfrac{(-5)^2 + 5}{3}}[/tex]
[tex]\sf{\implies \dfrac{25 + 5}{3}}[/tex]
[tex]\sf{\implies \dfrac{30}{3}}[/tex]
[tex]\sf{\implies 10}[/tex]
Answer:
2/3-5/4+7/2
Step-by-step explanation:
collect like terms. that is the positive and negative terms2/3+7/2-5/4lcm of 3 and 2 is 6 hence 2/3+7/2= 25/625/6-5/4....lcm of 6 and 4 is 12 hence 25/6-5/4=35/12 the answer in its mixed fraction is 2 and 11/12brainlest! to first one pls help mehh
Answer:
A
Step-by-step explanation:
Answer:
option a and b
Step-by-step explanation:
peanuts=1/4 cup ratio=1:4
raisins=1/2 cup ratio=1:2
chocolate chips=3/4 cup ration=3:4
granola =1 cup ration=1:1
a. ratio of cop of rasins to cup of peanuts=2:1 or 2/1
1/2 = 1/4=2/1
do cross multiplication
4*1=2*1=2/1
4/2=2/
2/1=2/1
2:1=2:1 this is satisfied
b.ratio of cup of granola to cup of peanuts=1:4 or 1/4
1/1=1/4
do crss multiplication
1*1/4*1=1/4
1/4=1/4
1:4=1:4 this is satisfied as both are equal
c.the ratio of cup of chocolate chips to cup of raisins=3:1 or 3/1
3/4=1/2
do cross multiplication
3*2=4*1=3/1
6/4=3/1
6:4=3:1 this is not satisfied as they are different.
d.the ratio of cup of raisins to cup of granola=1:3 or 1/3
1/2=1/1
do cross multiplication
1*1=2*1=1/3
1/2=1/3
1:2=1:3 this is not satisfied as they are different.
e. the ratio of cup of granola to cup of chocolate chips =4:3 or 4/3
1/1=3/4
do cross multiplication
3*1=4*1=4/3
3/4=4/3
3:4=4:3 this is not satisfied as they are not equal
therefore ur answer is option a and b.
What is the value of x? Also show work pls
Answer:
x = 34
Step-by-step explanation:
The angles are corresponding angles and corresponding angles are equal if the lines parallel
2x+3 = 71
Subtract 3 from each side
2x+3-3 = 71-3
2x = 68
Divide by 2
2x/2 = 68/2
x = 34
Type the correct answer in each box.
Find the solution for this system of equations.
2x + 4y = 8
x = 3y − 6
Answer:
X=0
Y=2
Step-by-step explanation:
Just finished and i got it right
6. Which of the following is equivalent to the expression shown?
(x - 5)(x + 5)
(A) x2 – 10x - 25
(C) x2 – 25
x2 - 10x + 25
(D) x2 + 25
(x–52) (x+5)
x²-524
X2-10
I’m stuck on this help anyone ? :(
Answer:
its x^2 -25
Step-by-step explanation:
simply we know,
a^2-b^2=(a-b)(a+b)
Solve the system of equations.
y=8x-6
y=5x+9
Answer:
x= 5 , y = 34
Step-by-step explanation:
8x-6=5x+9
3x-6=9
3x=15
x=5
-
8(x5) - 6 =
34
25(x5) +9 =
34
Answer:
x = 5 and y = 34
Step-by-step explanation:
I used substitution method and did this ;
8x - 6 = 5x + 9 .....put like terms together
8x - 5x = 9 + 6
3x = 15
x = 5
y = 8 (5) - 6
y = 40 - 6
y = 34
write a quadratic function f whose zeros are 2 and -6
Answer:
hope this will help u
Step-by-step explanation:
⇒ Given zeros are α=2 and β=−6.
⇒ Sum of zeros =α+β=2+(−6)=−4
⇒ Product of zeros =α×β=2×(−6)=−12
⇒ Quadratic polynomial =x
2
−(α+β)x+(α×β)
⇒ Quadratic polynomial =x
2
−(−4)x+(−12)
∴ Quadratic polynomial =x
2
+4x−12
The quadratic function having 2 and -6 as zeros is f(x) = x² + 4x - 12.
What is the quadratic function with roots 2 and -6?Given the parameters:
Zeros of the function: 2 and -6.
To find the quadratic function f(x) with zeros at 2 and -6, first set up the equation:
x = 2 and x = -6
These are the real solutions to the quadratic equation:
This means that; ( x - 2 ) and ( x + 6 ) are the factors of the quadratic equation:
Hence:
( x - 2 )( x + 6 ) = 0
Expand using distributive property:
x( x + 6 ) - 2(x + 6 ) = 0
x² + 6x - 2x - 12 = 0
Collect and add like terms:
x² + 4x - 12 = 0
Therefore, the function will be:
f(x) = x² + 4x - 12.
The quadratic function is f(x) = x² + 4x - 12.
Learn more about quadratic equations here: brainly.com/question/1863222
#SPJ6
Plz help solve this thanks
Answer:
y= -3/2
Step-by-step explanation:
........................
Please help, im stuck.
Answer:
4x^2 + 12x + 9
Step-by-step explanation:
(2x + 3)^2
it is in the form of (a + b)^2
(a + b)^2 = a^2 + 2*a*b + b^2
(2x + 3)^2
(2x)^2 + 2*2x*3 + (3)^2
4x^2 + 12x + 9
Help please need ASAP
Answer:
Step-by-step explanat
126
612
126
Select the correct answer. What is this expression in simplified form?(6v2)(-3v5) options: A. -90 B.-18v10 C.-18v7 D. 3v7
Answer:
[tex]-18\sqrt{10}[/tex]
Step-by-step explanation:
[tex](6\sqrt{2})(-3\sqrt{5} )[/tex]
[tex]6\sqrt{2} * -3\sqrt{5}[/tex]
[tex](6*-3)\sqrt{2*5}[/tex]
[tex]-18\sqrt{10}[/tex]
Multiply x^2+2x+3 times 4x^2-2x+1
Answer:
4x^4 + 6x^3 + 9x^2 − 4x + 3
Step-by-step explanation:
Simplify the expression. 4x^4 + 6x^3 + 9x^2 − 4x + 3
Step-by-step explanation:
Answer:
answer for this solution is 4x^4+6x^3+9x^2-4x+3
Item 23
What kind of angle is angle BCA ?
acute
obtuse
right
Answer:
BCA is obtuse
Step-by-step explanation:
BCA = 98 degrees
greater than 0 to less than 90 is acute angles
90 - right angle
greater than 90 to less than 180 is obtuse
98 is obtuse
Answer to the question
Answer:
7
Step-by-step explanation:
Step-by-step explanation:
AB//CD (Opposite sides of parallelogram are parallel)
Angle A + Angle B = 180 (Sum of interior angles=180)
179 + 3x - 20 = 180
3x - 20 = 180 - 179
3x - 20 = 1
3x = 1 + 20
3x = 21
x = 21/3
x = 7
Find the measure of the numbered angles
Answer:
Step-by-step explanation:
∡1 = 180-30-90 = 60°, because sum of all interior angles of a triangle is 180°
∡2 =30°, because vertical angles are congruent
∡3 =180-70-30 = 80°, because sum of all interior angles of a triangle is 180°
How to solve and what is the answer for this question
Answer:
O DC = 65 and DE = 33.5
Step-by-step explanation:
DC is already given by AB
so DC is 65
DE would be BD split
DE is 33.5
Answer: O DC = 65 and DE = 33.5
Help please i need it
Answer:
0.51
Step-by-step explanation:
Which statement is true about the function shown in the graph?
Answer:
A
Step-by-step explanation:
The function that is shown in the graph is strictly decreasing
What is a function?"A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function."
The given function has a value of (- 5) at a certain point.
After that the function is decreased to a value of (- 10).
Therefore, we can conclude that the function is strictly decreasing.
Learn more about a function here:
https://brainly.com/question/11943224
#SPJ2
The pentagon shown could be reflected over which line to be carried onto itself?
Answer:
on the x axis because it is reflected there
What is the MEDIAN or Q2 of the data set: 24. 25. 29. 30. 31. 31. 32. 34. 34 ?
Answer:
n=9
Step-by-step explanation:
median =n +1/2
=9+1/2
=10/2
=5
5 th term is 31
Which shows a graph of a linear equation in standard form Ax + By = C, where A = 0, B is positive, and C is negative? A coordinate plane with a vertical line passing through (1, negative 4), (1, 0) and (1, 4). A coordinate plane with a vertical line passing through (negative 2, negative 4), (negative 2, 0) and (negative 2, 4). A coordinate plane with a horizontal line passing through (negative 4, 4), (0, 4) and (negative 4, 4). A coordinate plane with a horizontal line passing through (negative 4, negative 3), (0, negative 3) and (4, negative 3).
Answer:
A coordinate plane with a horizontal line passing through (negative 4, negative 3), (0, negative 3) and (4, negative 3).
Step-by-step explanation:
Ax + By = C, where A = 0, B is positive, and C is negative
By= C or y= C/B which is negative
Since A is zero and C is negative, the line is parallel to x- axis and has negative value for y, so it is a horizontal line below zero
---------------
A coordinate plane with a vertical line passing through (1, negative 4), (1, 0) and (1, 4).
no, the line is horizontal
A coordinate plane with a vertical line passing through (negative 2, negative 4), (negative 2, 0) and (negative 2, 4).
no, the line is horizontal
A coordinate plane with a horizontal line passing through (negative 4, 4), (0, 4) and (negative 4, 4).
no, the y-values should be negative
A coordinate plane with a horizontal line passing through (negative 4, negative 3), (0, negative 3) and (4, negative 3).
yes, this is horizontal line below zero
Answer:
D
Step-by-step explanation:
Please help me with this thank you!
==========================================================
Explanation:
Choice A can be ruled out because the three angles shown add up to 360 degrees (which is a full circle rotation). The three angles of any triangle always add to 180.
Choice C can be ruled out because angles 'a' and 'b' are supplementary, as they same side interior angles. Because a+b = 180, there isn't any way to have c be a positive number and have a+b+c = 180 to be true. In other words, angles a,b,c add up to something over 180 degrees.
Choice D is a similar story to choice C. The three angles a,b,c add up to something over 180 degrees, but less than 360.
Choice B is the only thing left. We can see that the three angles form a straight angle, so a+b+c = 180 is true and all three variables are positive numbers. If b = c were true, then the triangle is isosceles. This is because the base angles are always congruent for any isosceles triangle.
That's why choice B is the answer.
Answer:
Step-by-step explanation:
In the diagram of circle O shown to the right, PA and PB are tangent to circle O at points A and B, respectively. If mACB 266, then mAPB
Answer: 86 degrees
Step-by-step explanation:
The linear function g is defined by g(x) = 4x.
a. Determine g(3).
b. Determine g(2).
c. Determine g(3) - g(2)
Answer:
the answer is D.
Step-by-step explanation:
well, the y-intercept for f(x) is at
as you can see from the slope-intercept form is at 4, and it has an slope of 2/3.
for g(x), well an y-intercept is when x = 0, what is it from that table? well, is at 0,3, so when x = 0, y = 3, so no dice on that one.
c)
whenever an x-intercept occurs, y = 0, for f(x) that's at
what about the x-intercept for g(x)? well, let's check, when is y = 0? aha! at -9, 0, so when y = 0, x = -9, so no dice on that one either.
d)
well, what is the slope of g(x) anyway? well, let's pick two points off the table to get it hmmm the first two let's use,
and from a), using the slope-intercept form, we know f(x) has a slope of 2/3.
well, 2/3 is larger than 1/3, so no dice.
b)
well, you already know.
Find the measure for angle b
Write image as a complex number. Question 6 options: A) 3 + i B) 3 – i C) –3 + i D) –3 – i
Answer:
that's right B) 3 - √3i
Step-by-step explanation:
(12 - √-48) / 4 =
12/4 - √-48 /4
= 3 - √(-48/16)
= 3 - √-3
= 3 - √ 3i
[tex]\\ \rm\Rrightarrow \dfrac{12-\sqrt{-48}}{4}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{12}{4}-\dfrac{\sqrt{48}i}{4}[/tex]
[tex]\\ \rm\Rrightarrow 3-4\sqrt{3}i/4[/tex]
[tex]\\ \rm\Rrightarrow 3-\sqrt{3}i[/tex]
What is the distance between (-5, -6) and (-3, -8)?
A file that is 226 megabytes is being downloaded if the download is 12.&% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth
Answer:
28.7
Step-by-step explanation:
12.7% = 0.127
226 * 0.127 = 28.702
Rounded
28.7
15.
.
X
Income Earned
Which statement below accurately represents the graph?
Click on the picture to enlarge
Dollars Earned
900
BOO
700
600
500
400
300
200
100
0 1 2 3 4 5 6 7 8 9
Hours Worked
a) $100 is earned for each hour worked
b) $200 earned for every 2 hours workedis
the unit rate
+
c) $500 is earned for every 8 hours worked 0 d) $300 is earned after working 4 hours
Answer:
C.
Step-by-step explanation:
❌Option A is incorrect
Rationale: from the graph, 1 hr on the x-axis doesn't correspond to $100 on the y-axis
❌Option B is incorrect
Rationale: from the graph, 2 hrs on the x-axis doesn't correspond to $200 on the y-axis. It can't also be the unit rate because unit rate would be the amount of dollars per 1 hr.
✅Option C is CORRECT
Rationale: from the graph, 8 hrs on the x-axis corresponds to $500 on the y-axis
❌Option D is incorrect
Rationale: from the graph, 4 hr on the x-axis doesn't correspond to $300 on the y-axis
A container has 3 apple juice boxes, 4 grape juice boxes and 5 orange juice boxes. Alex picks one juice box, drinks it and then picks another juice box. What is the probability that Alex picks grape juice and then orange juice?
a. 5/33
b. 5/44
c. 5/36
d. 1/11
Answer:
a) 5/33
Step-by-step explanation:
P(G then O) = 4/12 x 5/11
this is 1/3 x 5/11 which equals 5/33
