What is the lowest common multiple of 4 9 12
Answer:
36
Step-by-step explanation:
multiply 2x2x3x3 u get ur answer as 36
referred to the photo.
hope it helps
A group of 75 math students were asked whether they like algebra and whether they like geometry. A total of 45 students like algebra, 53 like geometry, and 6 do not like either subject.
Answer:
D. a = 29, b = 16, c = 24, d = 30, e = 22
Step-by-step explanation:
got it right on edge
The number of students who like both algebra and geometry is 27.
What is a Venn diagram?A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.
We have,
The number of students who like both algebra and geometry is the intersection of A and G, denoted as A ∩ G.
The number of students who like algebra only is the difference between A and A ∩ G, denoted as A - A ∩ G.
The number of students who like geometry only is the difference between G and A ∩ G, denoted as G - A ∩ G.
The number of students who do not like either subject is the complement of the union of A and G with respect to U, denoted as U - (A ∪ G).
We are given that:
A = 45
G = 53
U = 75
U - (A ∪ G) = 6
Now,
U - (A ∪ G) = 6
75 - (45 + 53 - A ∩ G) = 6
27 = A ∩ G
Therefore,
The number of students who like both algebra and geometry is 27.
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The complete question.
A group of 75 math students were asked whether they like algebra and whether they like geometry. A total of 45 students like algebra, 53 like geometry, and 6 do not like either subject.
Find the number of students who like both algebra and geometry.
Given the Functions
f(x)=-2x+8
g(x)=6x-10
Which of the following is true.
Answer:
g(-1)=-16
Step-by-step explanation:
g(x)=6x-10
Let x=-1
g(-1)=6(-1)-10
=-6-10
g(-1) =-16
What conclusion can you draw about the relative frequency of the results?
Answer:
If you are a girl in this group, you are more likely to eat cereal for breakfast than not.
Step-by-step explanation:
On Edge
Tony has $20. He wants to buy at least 4
snacks. Hot dogs (x) are $3 each.
Peanuts (y) are $2 each.
Tony has $20. He wants to buy at least 4
snacks. Hot dogs (x) are $3 each.
Peanuts (y) are $2 each.
Answer:
To solve the above question, we use the below inequality equations
x + y ≥ 4 snacks .........Inequality equation 1
3x + 2y ≤ $20 ..........Inequality equation 2
Step-by-step explanation:
We can make use of the inequality equations
Hot dogs = (x) are $3 each.
Peanuts = (y) are $2 each.
He wants to buy at least 4
x + y ≥ 4 snacks .........Inequality equation 1
3x + 2y ≤ $20 ..........Inequality equation 2
From the above inequality equations, Tony can buy at least 4 snacks but he can only spend $20.
Let take a random number, where x = 4, and y = 4. This means Tony can buy
a) 4($3) + 4($2) = 12 + 8 = $20
The total number of snacks = 4 + 4 = 8 snacks.
b)
This answer above confirms the inequality equations 1 and 2
x + y ≥ 4 snacks .........Inequality equation 1
8 snacks ≥ 4 snacks
3x + 2y ≤ $20 ..........Inequality equation 2
$20 ≤ $20
Answer:
4 is the first one and the second one is ---->
Total Price: 3x + 2y ≤ 20
Step-by-step explanation:
Let's complete the inequalities that represent Tony's situation.
Given:
Tony wants to buy at least 4 snacks.
Hot dogs (x) are $3 each.
Peanuts (y) are $2 each.
We can form the following inequalities:
Total Snacks: Tony wants to buy at least 4 snacks, which can be represented by the inequality:
x + y ≥ 4
This inequality ensures that the sum of hot dogs (x) and peanuts (y) is greater than or equal to 4, indicating that Tony wants to buy at least 4 snacks in total.
Total Price: To represent the total price, we need to consider the cost of each snack. Hot dogs are $3 each, and peanuts are $2 each. Thus, the total price can be represented by the inequality:
3x + 2y ≤ 20
This inequality accounts for the total cost of the snacks Tony wants to buy. The left-hand side represents the cost of x hot dogs ($3 each) and y peanuts ($2 each), and the inequality ensures that the total cost does not exceed Tony's available budget of $20.
Therefore, the completed inequalities are:
Total Snacks: x + y ≥ 4
Jasmine can swim the back stroke 0.3 kilometers in 10 minutes, and she can swim freestyle twice this distance in the same amount of time. At this rate, how far could Jasmine swim freestyle in 1 hour?
Answer:
She can swin 3.6 km in 1 hour using freestyle.
Step-by-step explanation:
If she can swin 0.3 kilometers in 10 minutes or 1/6 hours using backstroke, then her speed on that style is:
[tex]v_{backstroke} = \frac{0.3}{\frac{1}{6}} = 0.3*6 = 1.8 \text{ } \frac{\text{km}}{\text{h}}[/tex]
If she can swim twice the distance in the same time for freestyle, then her speed on that is twice the one in backstroke. Therefore, her speed on freestyle is:
[tex]v_{freestyle} = 2*v_{backstroke} = 2*1.8 = 3.6 \text{ } \frac{\text{km}}{\text{h}}[/tex]
Since her speed in freestyle is 3.6 km per hour, this means that she can swim a total of 3.6 km in one hour.
A given line has the equation .
What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (0, 9)?
Answer:
y-6x = 9Step-by-step explanation:
The question is incomplete. Here is the complete answer.
A given line has the equation 2x + 12y = −1.
What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (0, 9)?
General formula of equation of a line is exspressed as y = mx+c
m = gradient or slope
c = intercept
Step 1: we need to first get the slope of the given equation of a line by rewriting the equation in standard form y = mx+c
2x + 12y = −1
12y = -1-2x
y = -1/12-2x/12
y = -1/6 x - 1/12
From the equation above, it can be seen that the slope (m) of tghe line is -1/6.
Since both lines are perpendicular, the slope of the unknown line will be;
M = -1/m
M = -1/(-1/6)
M = 6
Step 2: We will find the intercept c by substituting the point (0,9) and the slope into the equation y = mx+c
9 = 6(0)+ c
c = 9
Stwp 3: We will find the equation of the line perpendicular to the given line by substituting the value of m and c into the equation y = mx+c
y = 6x+9
y-6x = 9
The equation in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (0, 9) is y-6x = 9
Answer:
y-6x=9
Step-by-step explanation:
Please answer!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
D
Step-by-step explanation:
You have 2 5 12 13 right triangles.
x = 2 * 5
x = 10
Answer:
D. [tex]x=10[/tex]
Step-by-step explanation:
You can use the Pythagorean Theorem, [tex]a^2+b^2=c^2[/tex], where a and b are the legs and c is the hypotenuse.
[tex]12^2+b^2=13^2\\144+b^2=169[/tex]
Subtract 144 from both sides
[tex]b^2=25[/tex]
Square root both sides
[tex]b=5[/tex]
[tex]2b=x\\b=5\\x=10[/tex]
**WHO ANSWERS WILL BE MARK AS BRAINLIEST** Triangle ABC is translated according to the rule (x, y) → (x + 4, y – 10). If the coordinates of the pre-image of point B are(4, –5), what are the coordinates of B'? *
10 points
(2, 3)
(8, –15)
(–3, –4)
(6, –13)
Answer:
8, -15
Step-by-step explanation:
4 + 4 = 8. -5 - 10 = -15. The new point is (8, -15)
Find the area of a regular hexagon
with a side length of 4 cm and an
apothem of approximately 3.5 cm.
please see the attached picture for full solution
hope it helps...
Good luck on your assignment....
Javier is buying steak for his upcoming birthday party. The Flat-iron is $5.60 per pound. The T-Bone sells for $5.44 a pound while the Strip is priced at $4.48 per pound. Javier’s other meat choice is a Porterhouse steak which is currently priced at $4.96 per pound. Which steak has theunit price of $0.34 per oz.?
Answer:
Step-by-step explanation:
Divide each of these prices by 16 because we can't have the cost per pound and divide by 1 pound when we want the price per ounce. There are 16 ounces in 1 pound.
For the flat-iron, the cost per ounce is 5.60/16 = 35 cents per ounce.
For the T-bone, the cost per ounce is 5.44/16 = 34 cents per ounce.
For the Strip, the cost per ounce is 4.48/16 = 28 cents per ounce.
For the Porterhouse, the cost per ounce is 4.96/16 = 31 cents per ounce.
It appears that the one that costs 34 cents per ounce is the T-Bone.
Which 2 equivalent fractions are shown on these number line?
1/2=2/4
2/3=2/6
2/3=4/6
2/3=4/8
Answer:
2 equivalent fractions :
1/2 = 2/4
2/3 = 4/6
15+25=m-45 what is the solution?
Answer: m= 85
Step-by-step explanation:
15+25=m-45
40=m-45
m=85
hi, i hope everyone is taking care, staying safe, and always smiling. could you help me? it is maths, brainliest will be given
Answer:
210 cm³
Step-by-step explanation:
The area of the triangular side is base*half height, which is 7*3=21.
To get the volume, multiply by the depth: 21*10 = 210 cm³
Answer:
hey !
the answer to your question is 210cm3
Step-by-step explanation:
this is because you do 7cm times 6cm times 10cm
this would equal 420cm3
but dont forget you have to divide it by 2 because it is a triangluar prism
so the answer would be 210cm3
hope this helps
pls put brainliest
can someone help asap
Answer:
5.125 = [tex]5\frac{125}{1000}[/tex] = [tex]5\frac{1}{8}[/tex]
Step-by-step explanation:
=> 5.125
Changing this into fraction form:
=> [tex]5\frac{125}{1000}[/tex]
In simplified form:
=> [tex]5\frac{1}{8}[/tex]
PLEASE HELPPPPPP!!!!!!
Answer:
consecutive interior angle theorem
Step-by-step explanation:
The two angles shown are consecutive interior angles, they are on the same side
Vertical angles are formed by the same 2 lines
Corresponding angles are on the same side of the two lines
Alternate interior angles are on opposite sides of the tranversal
Answer:
B. Consecutive interior angles theorem.
Step-by-step explanation:
The theorem states that the sum of the consecutive interior angles is equal to 180 degrees.
The difference of two numbers is 5, the numbers are in the ratio 3:4. So the numbers are 15 and 20 True or False
Answer:
True
Step-by-step explanation:
We need to verify whether 15 and 20 are the correct solution to the rule of "The difference between the 2 number is 5 and the number are in the ratio 3 : 4". Let's see,
First rule → The difference between the 2 numbers is 5
20 - 15 = 5 ⇒ Correct
Second rule → The numbers are in the ratio 3 : 4
15 : 20 ( ÷ 5 to both ratio's ) 3 : 4 ⇒ Correct
Answer:
Trueplease see the attached picture for full solution
hope it helps...
Good luck on your assignment..
PLZ HELP!!!!!!!!!!!!!!!!!!
Y=-6x^2+100x-180. What do the zeroes mean in context?
A.) If soccer balls are sold for $2.05 each, the store will make a daily profit of $14.61
B.) If soccer balls are sold for $14.61 each, the store will make a daily profit of $2.05.
C.) If soccer balls are sold for $2.05 or $14.61 each, the store will maximize their daily profit.
D.) If soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make a profit.
Answer:
D.) If soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make a profit.
Step-by-step explanation:
Let us assume x = selling price of each soccer ball
y = daily profit earned from selling of soccer balls
Given that
Y= [tex]-6x^2+100x-180[/tex]
where,
a = -6
b = 100
c = -180
Now we have to applied the formula which is as follows
x [tex]= \frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]
[tex]= \frac{-100\pm\sqrt{100^2-4\times -6\times -180}}{2\times -6}$[/tex]
[tex]= \frac{-100\pm\sqrt{10,000 - 4,320}}{-12}$[/tex]
[tex]= \frac{-100\pm\sqrt{5.680}}{-12}$[/tex]
[tex]= \frac{-100 + 75.3658}{-12}$[/tex]
[tex]= \frac{24.6342}{-12}[/tex]
x^1 = -2.05285
Now
x^2 [tex]= \frac{-100 - 75.3658}{-12}$[/tex]
[tex]= \frac{- 175.3658}{-12}[/tex]
x^2 = 14.6138
Based on this the option D is most appropriate as per the given situation
Answer:
If soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make a profit.
lol we need the answer (-:
Answer:184ft²
Step-by-step explanation:2(5×10)+2(4×6/2)+(6×10)
100+24+60=184
PLEASE MARK ME AS BRAINLIEST!!!
If BC = 12 and CD = 5, BD = [?]
Answer:
17
Step-by-step explanation:
Since BD is the combined distance of BC and CD, we get BD to equal 12 + 5 = 17.
Answer:
17
Step-by-step explanation:
BC + CD = BD
12 +5 = BD
17 = BD
Can someone help me solve this 15 points
Answer:
see explanation
Step-by-step explanation:
∠ 1 and ∠ 2 are adjacent angles and supplementary, thus
∠ 2 = 180° - ∠ 1 = 180° - 110° = 70°
--------------------------------------------------
The chord- chord angle 3 is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, thus
∠ 3 = [tex]\frac{1}{2}[/tex] (100 + 60)° = 0.5 × 160° = 80°
∠ 3 and ∠ 4 are adjacent angles and supplementary, thus
∠ 4 = 180° - 80° = 100°
Thus
Angle Value
1 110
2 70
3 80
4 100
What is the range of f(x)?
-3, -2, -1, 0,1
-2.-1.0.1
all real numbers such that -3
all real numbers such that -2
The range of f(x) would be -2, -1, .0, 1.
What is the range of the function?The range of the function is depicted by the points that the blue lines make on the graph. Thus we have the first blue line on point, -2. This gradually progresses to -1 and then 0 and 1 on the y-axis.
The range of a function refers to the values that are covered by the expression and the values, -2, -1, .0, and 1 represent the function. Option B is right.
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у
What is the equation of the line that is parallel to the given
line and has an x-intercept of -3?
4
3
o y=x+ 3
o y=x+2
(3.1)
3 4
5
X
54
21
10.21)
2
o y=-3x + 3
cy=-x+2
Answer:
y=x+ 3
Step-by-step explanation:
The given equation is y = x, which is parallel to y = x + 3
Also, the equation I chose has an x-intercept of -3.
The equation of the line that is parallel to the given line and has an x - intercept of - 3 is,
⇒ y = 2/3x - 1
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (3, 1) and (0, -1).
Now,
Since, The equation of line passes through the points (3, 1) and (0, -1).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (- 1 - 1) / (0 - 3)
m = - 2 / - 3
m = 2/3
Thus, The equation of line with slope 2/3 is,
⇒ y - 1 = 2/3 (x - 3)
⇒ y - 1 = 2/3x - 2
⇒ y = 2/3x - 1
Therefore, The equation of the line that is parallel to the given line and has an x - intercept of - 3 is,
⇒ y = 2/3x - 1
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√5 (6 - 4·√3) I need this simplified
Answer:
[tex]6\sqrt{5}-4\sqrt{15}[/tex]
Step-by-step explanation:
[tex]\sqrt{5} \times (6 - 4\sqrt{3} )[/tex]
[tex]\sqrt{5}\times 6-\sqrt{5}\times4\sqrt{3}[/tex]
[tex]6\sqrt{5}-4\sqrt{5}\sqrt{3}[/tex]
[tex]6\sqrt{5}-4\sqrt{5 \times 3}[/tex]
[tex]6\sqrt{5}-4\sqrt{15}[/tex]
Answer:
6[tex]\sqrt{5}[/tex] - 4 [tex]\sqrt{15}[/tex]
Step-by-step explanation:
1. Multiply each term in the parentheses by [tex]\sqrt{5}[/tex]
2. calculate the product
3. solution :)
Root 131 lies between two consecutive integers. Complete the inequality below with these integers
Answer:
11 < √131 < 12
Step-by-step explanation:
121 and 144 are perfect squares.
11² = 121
12² = 144
√131 = 11.445523
√131 lies between 11 and 12, which are consecutive integers.
What is the nth term of the following sequence……… 8, 3, -2, -7………..explain clearly aswell
8, 3, -2, -7
basically
you have to figure how to get from one term to the other. so in this case, to get from 8 to 3, you have to minus 5. and same again to get from 3 to -2, you again have to -5.
so the first past of the answer is -5n.
then after that, you have to figure out how to get from -5, to the first term of your sequence. so you have to add 13, in this case.
your answer would then be
-5n + 13Answer:
-5x + 13
Step-by-step explanation:
to find the nth term, you must find the difference between each consecutive given terms.
So,
8 and 3 = -5
3 and -2 = -5
-2 and -7 = -5
This is the m in the equation mn+c
c is the value you must add to -5n when n is 1
Hope this helps
f f(x) = 3(x + 4), find f(2).
Answer:
f(2) = 18
Step-by-step explanation:
To evaluate f(2) , substitute x = 2 into f(x), that is
f(2) = 3(2 + 4) = 3 × 6 = 18
What is the term-to-term rule for this sequence? 64,32,16,8,4
Answer:
Divide by two is the term to term rule
Step-by-step explanation:
64/2=32
32/2=16
16/2=8
8/2=4
the term-to-term rule for this sequence is to multiply each term by 1/2 to obtain the next term.
The given sequence 64, 32, 16, 8, 4 is a geometric sequence with a common ratio of 1/2.
To find the term-to-term rule for a geometric sequence, we multiply each term by the common ratio to get the next term. In this case, the common ratio is 1/2.
The term-to-term rule for this sequence is:
Multiply each term by 1/2 to get the next term:
64 × 1/2 = 32
32 × 1/2 = 16
16 × 1/2 = 8
8 × 1/2 = 4
Therefore, the term-to-term rule for this sequence is to multiply each term by 1/2 to obtain the next term.
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We know that central angles are congruent, because it is given. We can say that segments AO, CO, BO, and DO are congruent because . Then by the congruency theorem, we know that triangle AOC is congruent to triangle BOD. Finally, we can conclude that chord AC is congruent to chord BD because .
Answer:
because they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
Step-by-step explanation:
Answer:
Complete the missing parts of the paragraph proof.
Proof:
We know that central angles
✔ AOC and BOD
are congruent, because it is given. We can say that segments AO, CO, BO, and DO are congruent because
✔ all radii of a circle are congruent
. Then by the
✔ SAS
congruency theorem, we know that triangle AOC is congruent to triangle BOD. Finally, we can conclude that chord AC is congruent to chord BD because
✔ CPCTC.
Please solve this problem. I will give brainliest:
((4x+6)*70)/2=4
Solve for x
Answer:
x = -103/70 or approximately -1.47
Step-by-step explanation:
First, what I would do is get rid of the denominator, 2. You do this by perming the inverse operation to both sides, so you multiply both sides by 2.
Now your equation is: 70(4x+6) = 8
Next what I did was distribute the 70 inside the parentheses:
280x + 420 = 8.
Then you subtract 420 from both sides:
280x = -412
To get x by itself, you have to divide both sides by 280:
x= -412/280 , which simplifies to -103/70 , or can be written as an approximation of -1.47 (rounded to nearest hundredth)
This number looks nasty, but I checked my work so it should be right :)
Answer:
x= −103 /70
Step-by-step explanation:
