the answer is c. decrease
Which of the following proportions is true?
12 pizzas
18 people
9 pizzas
24 people
24 pizzas
48 people,
8. pizzas
20 people
20 pizzas
60 people
36 pizzas
96 people
48 pizzas
24 people
48 pizzas
60 people
g Find the equation of the line passing through the point (1, 1, 1) which is perpendicular to the plane containing the points (1, 0, 0), (2, 1, 1) and (1, 1, 2).
Answer:
The equation of the line is given by:
[tex]x = 1 + t[/tex]
[tex]y = 1 - 2t[/tex]
[tex]z = 1 + t[/tex]
Step-by-step explanation:
Parametrizing the equation of the line in function of t, the equation of the line is given by:
[tex]x = x_0 + at[/tex]
[tex]y = y_0 + bt[/tex]
[tex]z = z_0 + ct[/tex]
In which we have an initial point [tex](x_0,y_0,z_0)[/tex] and [tex](a,b,c)[/tex] is a vector parallel to the line.
Line passing through the point (1, 1, 1)
This means that [tex]x_0 = y_0 = z_0 = 1[/tex]. So
[tex]x = 1 + at[/tex]
[tex]y = 1 + bt[/tex]
[tex]z = 1 + ct[/tex]
Perpendicular to the plane containing the points (1, 0, 0), (2, 1, 1) and (1, 1, 2).
From this, we get two vectors:
[tex](2-1,1-0,1-0) = (1,1,1)[/tex]
[tex](1-2,1-1,2-1) = (-1,0,1)[/tex]
The parallel vector is given by the determinant of the following matrix:
[tex]\left[\begin{array}{ccc}i&j&k\\1&1&1\\-1&0&1\end{array}\right][/tex]
Which is:
[tex]D = i*1*1 + j*1*-1 + k*1*0 - k*1*(-1) - j*1*1 -i*1*0[/tex]
[tex]D = i - j + k - j[/tex]
[tex]D = i - 2j + k[/tex]
So the vector is (1,-2,1), and the equation of the line is:
[tex]x = 1 + t[/tex]
[tex]y = 1 - 2t[/tex]
[tex]z = 1 + t[/tex]
Suppose that $6500 is placed in an account that pays 17% interest compounded each year. Assume that no withdrawals are made from the account.
Answer: $7,605
Step-by-step explanation:
At the end of 1 years, the amount in the account will be:
= Principal * (1 + rate)^ no. of periods
= 6,500 * (1 + 17%)
= $7,605
What is the volume of the rectangular pyramid shown belown?
9514 1404 393
Answer:
168 cubic inches
Step-by-step explanation:
The formula for the volume of a pyramid is ...
V = (1/3)Bh
where B is the area of the base, and h is the height.
The base is a rectangle, whose are is given by the formula ...
A = LW
A = (8 in)(7 in) = 56 in²
Then the pyramid volume is ...
V = (1/3)(56 in²)(9 in) = 168 in³
The volume of the pyramid is 168 cubic inches.
A fence surrounds two sides of the
backyard. The total length of the fence is 86
feet, with the longest portion measuring 51.5
feet. What is the length of the second side of
the fence?
Answer:34.5
Step-by-step explanation:
86-51.5= 34.5
17/15 - 4/5 please answer
Answer:
1/3
Step-by-step explanation:
17/15-4/5
17/15-4*3/5*3
17/15-12/15
17-12/15
5/15
1/3
The equivalent value of the fraction is A = 1/3
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the first fraction be p
Let the second fraction be q
Now , A = p - q
when the value of p = 17/15
And , when the value of q = 4/5
On simplifying the equation , we get
A = 17/15 - 4/5
So , the left hand side of the equation is equated to the right hand side by the value of ( 17/15 - 4/5 )
A = ( 17/15 - 4/5 )
Taking the LCM of the denominators of the fraction , we get
A = ( 17 - 12 ) / 15
On simplifying , we get
A = 5/15
A = 1/3
Therefore , the value of A = 1/3
Hence , the fraction is A = 1/3
To learn more about fractions click :
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Which statement is true about the numbers marked on this horizontal number line?
A.
0.25 -0.25
C.
-0.25 = 0.25
D.
-0.25 > 0.25
Answer:
B!
Step-by-step explanation:
The answer is B. id.k how to explain tho.
Kris bought a 6 pack of water bottles for $4.79. Find the unit rate to the nearest cent.
Step-by-step explanation:
Kris bought a 6 pack water for =4.79$
So,
1 unit of water bottle =[tex]\tt{\dfrac{4.79}{6}=0.798333....=0.80\$ }[/tex] ⠀
find the equation of the straight line passing through the point (0,1) which is perpendicular to the line y=-2x+2
Answer:
y = 1/2x + 1
Step-by-step explanation:
In order to evaluate a slope that is perpendicular to the given equation, you need to find the opposite reciprocal of the original slope. This means you take the original slope, flip the numerator and the denominator, and change the sign in front.
-2 ⇒ 1/2
Next, we need to substitute the information given into the point-slope formula.
The point-slope formula is:
y - y₁ = m(x - x₁)
y - 1 = 1/2(x - 0)
y - 1 = 1/2x
y = 1/2x + 1
Therefore, the line perpendicular to y = -2x + 2 is y = 1/2x + 1.
Melissa rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 12.
Answer:
1/36
Step-by-step explanation:
(6,6) is the only possible outcome of getting a total of 12
Please answer test!
Are these shapes similar?
What is 3 3/5 x (-8 1/3)=
Answer:
Step-by-step explanation:
Convert these mixed fractions to improper fractions.
3 3/5 = 18/5
-8 1/3 = -25/3
Now, it is easier to multiply them. Multiply the numerators and the denominators.
18 x 25 = 450
5 3 15
Simplify the final answer by dividing 450 ÷ 15, which is 30.
Multiply.
(4x-3)(3x+1)
Simplify your answer.
П
?
Answer:
12x^2 -5x - 3
Step-by-step explanation:
( 4x - 3)( 3x + 1 )
distribute
12x^2 + 4x - 9x - 3
combine like terms
12x^2 - 5x - 3
Hope this helps!!!
is the equation a true statement when x equals -3 in other words is -3 a solution to the equation 6 x + 5 = 5x +8 + 2x explained? explain
Answer: Yes
Step-by-step explanation: bc 6(-3)+5=5(-3)+8+2(-3)
Becomes -18+5=-15+8+-6 which equals -13 on both sides meaning -3 is a solution
6x+5=5x+8+2x
6x+5=(5x+2x)+(8)(Combine Like Terms)
6x+5=7x+8
6x+5=7x+8
Step 2: Subtract 7x from both sides.
6x+5−7x=7x+8−7x
−x+5=8
Step 3: Subtract 5 from both sides.
−x+5−5=8−5
−x=3
Step 4: Divide both sides by -1.
−x
−1
=
3
−1
x=−3
Answer:
x=−3
The sum of three consecutive EVEN integers is is 138. Find the smallest integer.
Step-by-step explanation:
Let x be the smallest even integer.
Then (x + 2) and (x + 4) are the other even integers.
We have x + (x + 2) + (x + 4) = 138.
=> 3x + 6 = 138
=> 3x = 132
=> x = 44.
Hence the smallest integer is 44.
i will mark brainliest to whoever shows their work
Answer: -280000
Step-by-step explanation: Remove parentheses: (a)=a =12x10 4 - 4x10 5
12x10 4 = 120000
4x10 5=400000
=120000-400000
then subtract the numbers:120000-400000= -280000
If 1 inch on a map represents 20 miles, what is the mileage represented by 2.5 inches?
A 40 miles
B 10 miles
C 45 miles
D 50 miles
Answer:
50 miles(D)
Step-by-step explanation:
20 x 2.5
19. Malik is 10 years less than half his mother's age. If
Malik is 12 yrs. old, how old is his mother?
Answer:
34
Step-by-step explanation:
12+12=24
24+10=34
Answer:
If he is 12 his mom would be 22.
Step-by-step explanation:
12+10=22
</3 PureBeauty
please help will give u brainliest pls help me
Answer:
19
Step-by-step explanation:
1/2*(5+x)*4=48
68/7 in fraction form
Answer:
9.71 in decimal form
Step-by-step explanation:
A koala weighs 20 pounds. In her pouch, she carries her joey that weighs 20 ounces. What is the combined weight of the adult koala and her joey in ounces? (HELP FAST)
Answer:
kjgfdhsxfcgmnhmj,kouiyf
Step-by-step explanation:ugytfguilhyuyrtdyrjcgvh
Answer:
340 oz
Step-by-step explanation:
20 lb = 320 ounces
320 oz + 20 oz = 340 oz
Giving thanks, brainliest, or rating would be appreciated!
Please help with this
Answer: 86
Step-by-step explanation:
Answer:
86
Step-by-step explanation:
I did this before I think it was 86 not sure
which graph shows a system of equations with infinitley many solutions
Answer:
where are the equation I don't see them
At noon, a barista notices she has $20 in her tip jar. If she makes an average of $0.50 from each customer, how much will she have in her tip jar if she serves n more customers during her shift
Answer:
She has $20 + $0.50n in her tip jar.
Step-by-step explanation:
Amount in tip jar at noon = $20
Average amount made from each customer = $0.50
Number of additional customers served after noon = n
Therefore, we have:
Additional amount made after noon = Average amount made from each customer * Number of additional customers served after noon = $0.50 * n = $0.50n
Amount in tip jar = Amount in tip jar at noon + Additional amount made after noon = $20 + $0.50n
Therefore, she has $20 + $0.50n in her tip jar.
Tashi Beverages Ltd. company manufacture a coca
cola juice. In a manufacturing process, 3% of tools
produced turn out to be defective. Find the
probability that in a sample of 30 tools, at most 2
will be defective?
Answer:
you spam answered my question
Step-by-step explanation:
consider this revenge
4. Show that FD=1/2CB, FE - 1/2AB, and DE = 1/2AC.
Helppppp!
Regular pentagon RSTUV has sides that are half the length of regular pentagon JKLMN,
What is the ratio of the perimeter of pentagon RSTUV to the perimeter of pentagon JKLMN?
A 1:2
B, 1:4
C, 1:5
D. 1:10
E, 1:25
Answer:
A, 1:2 ratio
Explanation:
Since 1 is half of 2, and the problem states that RSTUV is half of JKLMN, A is the correct ratio.
Answer:
c
Step-by-step explanation:
It’s a picture^^^^^^^^
Answer: F
Step-by-step explanation: 5+6+7x8=67
determine whether or not the side lengths can be sides of a triangle 23, 16, 7
Answer:
The side lengths can not form a triangle
Step-by-step explanation:
Given
[tex]Sides: 23,16,7[/tex]
Required
Can the side lengths can form a triangle?
To do this, we apply triangle Inequality Theorem, which states that for sides a, b and c:
[tex]a + b>c[/tex] , [tex]c + b>a[/tex] and [tex]c + a>b[/tex]
In this case, we have:
[tex]23 + 16 > 7[/tex]
[tex]39 > 7[/tex] --- True
[tex]23 + 7 > 16[/tex]
[tex]30 > 16[/tex] --- True
[tex]16 + 7 > 23[/tex]
[tex]23 > 23[/tex] --- False
Hence, the side lengths can not form a triangle
TWO wires support a young tree. The wires reach the tree 2 teet above the ground
and are each 3.5 feet from the base of the tree.
Answer: 5.74 Feet Hope this helps <3
Step-by-step explanation: