47.5 millimeters longer
The pencil is 47.5 millimeters longer than the crayon.
To find out how many millimeters longer the pencil is than the crayon, we need to convert the length of the pencil from centimeters to millimeters and then subtract the length of the crayon.
Given that length of the pencil = 13.5 centimeters
Length of the crayon = 87.5 millimeters
To convert centimeters to millimeters, we use the conversion factor: 1 centimeter = 10 millimeters.
So, the length of the pencil in millimeters is:
13.5 centimeters × 10 millimeters/centimeter = 135 millimeters
Now we can calculate the difference in length between the pencil and the crayon:
Length of the pencil - Length of the crayon = 135 millimeters - 87.5 millimeters
Subtracting the lengths, we find that the pencil is:
135 millimeters - 87.5 millimeters = 47.5 millimeters longer than the crayon.
Therefore, the pencil is 47.5 millimeters longer than the crayon.
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Y=4x + 6
Y = 6x - 12
Solve the systems of equation by substitution
Answer:
x=9, y=42
Step-by-step explanation:
y=4x+6
y=6x-12
Substitute the second equation into the first:
6x-12=4x+6
Subtract 4x from both sides:
2x-12=6
Add 12 to both sides:
2x=18
Divide both sides by 2:
x=9
Plug this back into one of the equations to find y:
y=4(9)+6=36+6=42
Hope this helps!
Here is a number machine. Write down an expression for the output if the imput is n. input=n) (+2) (x3) (output=?
Answer:
3n+6
Hope this helps you
Answer:
3n+6
Step-by-step explanation:
A photograph measures 8 1/2 inches by 5 3/4 inches. Find its area.
Answer:
48 7/8
I hope this helps.
Answer:
Step-by-step explanation:
48 7/8
2 Points
A card game is being played and the 5 of spades, 9 of spades, and 9 of hearts
are drawn from a single deck. In order to win, the next card the player draws
from the deck must be higher than the highest card already drawn. What is
the probability that the next card the player draws is a winning card? (An ace
is considered to have a value of 1 and jacks, queens, and kings have a value
of 10.) Hint: A deck has 52 cards, 4 suits, and each suit has A, 2,3,4,5,6,7,8,
9,10,J,Q,K,
A. 25%
B. 24%
C. 32.6%
D. 8%
Answer:
C) 32.6%
Step-by-step explanation:
Given:
Total number of cards = 52
3 Cards already drawn = 5 of spades, 9 of spades, and 9 of hearts.
To win the next card drawn must be greater than the highest card already drawn.
Required:
Find the probability of winning
Here, the highest card already drawn is 9 of spades or 9 of hearts.
The cards higher than 9 of spades or 9 of hearts are four in number (10, J, Q, K). Since, we have 4 suits, the highest cards remaining are 4 * 4 = 16.
Also, a total of 49 cards are remaining since 3 cards are already drawn (52 - 3 = 49).
Therefore, the probability that the next card the player draws is a winning card: [tex]\frac{16}{49} = 0.326[/tex]
Convert to percentage:
0.326 * 100 = 32.6%
Which of the following shows how the number 7 can be rewritten with the difference of squares identity? (16-9)=(4+3)(4-3) (18-11)=(9+6)(9-5) (25-4)=(5+2)(5-2) (16-9)=-1(4+3)(4-3) (64-1)=(8+1)(8-1)
Answer:
A) (16-9) =(4+3)(4-3)
Step-by-step explanation:
Explanation:-
Given the number = 7
The difference of two numbers are 16-9 =7
The difference of squares
4² - 3² = 7
We will use formula
a² - b² = (a-b) (a+b)
4² - 3² = (4 -3) (4+3)
16 -9 = (4 -3) (4+3)
Final answer:-
The number 7 can be rewritten with the difference of squares identity
16 -9 = (4 -3) (4+3)
29 40 40 40 40 41 51 56 62 63 whats the interquarile range
Answer:
At a glance, we use the middle values and not sure if you have made the outer quartile numbers inclusive.
Based on you doing so we take the 56-40 = 16 range
If you haven't included outside numbers
We take the 63-29 = 34 range
Step-by-step explanation:
Which expression gives the length of the transverse axis of the hyperbola
shown below?
Explanation:
Length of transverse axis of hyperbola means distance between both the vertices of hyperbola which is constant given by 2a.
As definition of hyperbola:
Difference in distance of any point (x,y) from both focus is a positive constant equals to length of transverse axis.
So, distance of (x,y) from foci 1)-( distance of (x,y) from foci 2)=2a
x-y=2a
Length of transverse axis is x-y.
hope it helps....
Good luck on your assignment
The length of the transverse axis is x - y if point (x, y) is separated from either focus by a positive constant equal to the transverse axis' length option (C) x - y is correct.
What is hyperbola?It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.
We have given a hyperbola shown in the picture.
The green line indicates the transverse axis of the hyperbola.
As we know,
The distance between the two vertices of the hyperbola, which is always given by 2a, is referred to as the length of the transverse axis.
Any point (x, y) is separated from either focus by a positive constant equal to the transverse axis' length.
x-y=2a
The length of the transverse axis = x - y
Thus, the length of the transverse axis is x - y if point (x, y) is separated from either focus by a positive constant equal to the transverse axis' length option (C) x - y is correct.
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A right pyramid on a base 4cm square has a slant edge of 6cm Calculate the volume.
2. The slant edge of a right pyramid with rectangular base is 14. 6cm and height is 1.2 cm .If the length of one of the sides of the base is 8. 4 cm find the surface area.
Please help with at least one.
Please show workings.
Answer:
L*b
6*4
24cm
L*b*h
14.6m *1.2cm *8.4cm
=147.168
Answer:
This is the answer to No 1.
Volume= 48√5
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation
A. 10; your car travels for 10 hours.
B. 260 your car travels 260 miles.
C.1/65; your car travels 65 miles every 1 hour.
D.65/1 Your car travels 65 every 1 hour
Answer:
D
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(390-260)/(6-4)
m=130/2
m=65/1
every hour, a car travels 65 miles
D
Answer:
65/1
Step-by-step explanation:
Given the table of values below, which of the following ordered pairs are
found on the graph of the inverse function?
х
-2
-1
0
1
2
f(x)
12
10
8
6
4
Answer:
(12,-2), (10,-1), (8,0), (6,1) and (4,2).
Step-by-step explanation:
If a function is defined as
[tex]f(x)=\{(x,y):x\in R,y\in R\}[/tex]
then its inverse is defined as
[tex]f^{-1}(x)=\{(y,x):x\in R,y\in R\}[/tex]
It means coordinates of ordered pairs are interchanged.
From the given table it is clear that the function passing through the points (-2,12), (-1,10), (0,8), (1,6) and (2,4).
Using the above definition, we can say that the inverse function passing through the points (12,-2), (10,-1), (8,0), (6,1) and (4,2).
Therefore, the required ordered pairs are (12,-2), (10,-1), (8,0), (6,1) and (4,2).
Lily likes to collect records last year she had
15 records in her collection this year she
has 24 records what is the increase of her
collection
Work this out for meee
Answer:
87.5cm²
Step-by-step explanation:
area of trapezium = 1/2 (a+b)h
1/2 × (10 + 15) ×7
1/2 × 25 × 7
1/2 × 175 = 87.5
Answer:
87,5 cm²
Step-by-step explanation:
A = (b + B)×h/2
= (10cm + 15cm)×7cm/2
= 25cm×3,5cm
= 87,5 cm²
Answer plz!
Which choices are equivalent to the quotient below? Check all that apply.
Answer:
A(√2) would be the correct answer.
Answer:
[tex] \boxed{A. \: \sqrt{2} \: \: \: and \: \: \: F. \: \frac{ \sqrt{4} }{ \sqrt{2} }} [/tex]
Step-by-step explanation:
[tex] = > \frac{ \sqrt{18} }{ \sqrt{9} } = \frac{ \sqrt{9 \times 2} }{ \sqrt{9} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \cancel{ \sqrt{9}} \times \sqrt{2} }{ \cancel{ \sqrt{9} }} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{2} [/tex]
[tex]F. \: \frac{ \sqrt{4} }{ \sqrt{2} } = \frac{ \sqrt{2 \times 2} }{ \sqrt{2} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \cancel{\sqrt{2}} \times \sqrt{2} }{ \cancel{\sqrt{2}}} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{2} [/tex]
A train travels 180 miles in 2 hours. A jet goes 7 times faster. How far can the jet fly in 5 hours? Solve in space above.
Answer: 3150 miles
Step-by-step explanation: Ok, let's break it down...
180 ÷ 2 = 90 / The train travels 90 mph....
90 * 7 = 630 / The jet travels 630 mph....
630 * 5 = 3150 / The jet will travel 3150 miles in 5 hours, I hope this helps!
There are 30 dogs at the park. 56 of the dogs are large.
Which method is a way to find the number of large dogs at the park?
Answer:
30-56
Step-by-step explanation:
It would be to Multiply 30 and [tex]\frac{1}{6}[/tex].
Please help me with the question
Answer:
C
Step-by-step explanation:
5a+ 18 < -27
Subtract 18 from each side
5a+18-18 < -27-18
5a < -45
Divide each side by 5
5a/5 < -45/5
a < -9
Open circle at 9, line doing to the left
write a^4*a^2 without exponents
Answer:
a x a x a x a x a x a
Step-by-step explanation:
a^4 x a^2
a x a x a x a times a x a
= a^6 or a x a x a x a x a x a
The initial point of a⃗ is (−2,4), and its terminal point is (−5,−2). What is the value of ‖a⃗ ‖? Give your answer as a simplified radical.
Answer:
[tex]3\sqrt{5}.[/tex]
Step-by-step explanation:
It is given that the initial point of [tex]\vec{a}[/tex] is (-2,4) and terminal point is (-5,-2). So, [tex]\vec{a}[/tex] is defined as
[tex]\vec{a}=(-5-(-2))\hat{i}+(-2-4)\hat{j}[/tex]
[tex]\vec{a}=(-5+2)\hat{i}+(-2-4)\hat{j}[/tex]
[tex]\vec{a}=-3\hat{i}-6\hat{j}[/tex]
The magnitude of [tex]\vec{v}=a\hat{i}+b\hat{j}[/tex] is
[tex]|\vec{v}|=\sqrt{a^2+b^2}[/tex]
The magnitude of [tex]\vec{a}[/tex] is
[tex]|\vec{a}|=\sqrt{(-3)^2+(-6)^2}[/tex]
[tex]|\vec{a}|=\sqrt{9+36}[/tex]
[tex]|\vec{a}|=\sqrt{45}[/tex]
[tex]|\vec{a}|=3\sqrt{5}[/tex]
Modulus of magnitude is
[tex]||\vec{a}||=|3\sqrt{5}|=3\sqrt{5}[/tex]
So, the magnitude of [tex]\vec{a}[/tex] is [tex]3\sqrt{5}.[/tex]
a park has a 3 meter (m) tall tether ball pole and a 6.8 m tall flagpole. the lengths of their shadows are proportional to their heights. which of the following could be the lengths for the shadows. choose two answers
Answer:
Step-by-step explanation:
6.8/3 is the scale factor
1.35*(6.8/3)=3.06
1.8*(6.8/3)=4.08
3.75*(6.8/3)=8.5
8.5-8.35=0.15
3.4-3.06=0.34
since C is closer to the right proportion, if there is no option D, it should be the 2 answer you choose
Option B is definetly right, but what about another option, is there an option D?
Solve for x in the equation x2 -8x+41=0.
X=-4+ 37i
X = -4 - 5i
X = 4+ 37i
Answer:
not sure if this is a right answer. but hope this helps
Step-by-step explanation:
The roots of the given quadratic equation are x=-1.6 and x=-6.4.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
here, we have,
given that,
The given equation is x² - 8x + 41 =0.
The given equation can be solved using quadratic equation formula.
Here, by comparing x² - 8x + 41 =0 with ax²+bx+c=0, we get a=1, b=-8 and c=41.
Quadratic equation formula x = -b±√b² - 4ac / 2a
Now, x= -8 ± √ 64 - 41 / 2×1
⇒ x= -8 ± √23 / 2
⇒ x= -8 ± 4.8 /2
⇒ x=-1.6 or x=-6.4
Therefore, the roots of the given quadratic equation are x=-1.6 and x=-6.4.
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HELLO PLEASE HELO ME.
Answer:
the answer is 33
Step-by-step explanation:90 - 57=33
Answer:
33 degrees
Step-by-step explanation:
90-57=33
Whats the radius of this?
Answer:
Its trying to trick you, you dont need any fancy shmancy formula. If you see the 8 its trying to make you think of a formula but if there is a formula and you get it wrong then you get it wrong. Its easy the 8 is there but a circle has a radius no matter where you measure it. 8/2 = 4. Radius is 4 Diameter is 8
Think outside the box 4 is radius 8 is diamaterASAP Mario was given the following enlargement. Side A corresponds to a side with length 24 centimeters. A side with length 6 centimeters corresponds with a side with length 12 centimeters. Figures not drawn to scale. What is the length of side A, in centimeters? 12 15 24 33
Answer:
The length of side A is 12 cm
Step-by-step explanation:
This question is best answered when there's an attachment; however, the absence of an attachment doesn't mean it can't be solved.
Given
Side A corresponds to 24 cm
Length 6 cm corresponds to Length 12 cm
Required
Find A
The given parameters can be represented mathematically as;
[tex]\frac{A}{24} = \frac{6}{12}[/tex]
With this expression, the value of A can be easily solved
First; multiply both sides by 24
[tex]24 * \frac{A}{24} = \frac{6}{12} * 24[/tex]
[tex]\frac{24 *A}{24} = \frac{6}{12} * 24[/tex]
[tex]\frac{24A}{24} = \frac{6}{12} * 24[/tex]
[tex]A = \frac{6}{12} * 24[/tex]
[tex]A = \frac{6 * 24}{12}[/tex]
[tex]A = \frac{144}{12}[/tex]
[tex]A =12[/tex]
Hence, the length of side A is 12 cm
Answer:
ANSWER:A
Step-by-step explanation:
ANSWER IS A!SAVE YOURSELF! RUN! DON'T FAIL UR TEST!
byeeeeee:)
<3
Simplify the product. Write the answer in standard form.
(x2 + 4)(x+3)
Answer:
x^3 + 3x^2 + 4x + 12
Please Help!!! DUE NOW!
Answer: 37
Step by step explanation:
y+29+40+2y=180°( sum of angle in straight line)
or, y+2y+29+40=180°
or,3y+69=180
or,3y=180-69
or,3y=111
or,y=111/3
y=37
hope it helps
Good luck on your assignment
pls help (mathematics)
Answer:
Answer is C.
Step-by-step explanation:
When radius is 1, the volume is 4. When radius is 2, it's 32. Which means It becomes 8 times bigger because 32 divided by 4 (32/4) is 8.
Answer:
its not D and its not A or B so the answer would be C...
Step-by-step explanation:
Rosalia went on a long bike ride. The table shows how long she biked and the distance she
traveled. Determine whether the relationship between hours biked and miles traveled is
proportional.
-91
O The relationship is not proportional.
O The relationship is proportional.
Answer:
The relationship is not proportional.
Step-by-step explanation:
To see if many ratios are (fair in amount, related to something else/properly sized compared to something else), you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have (fair in amount, related to something else/properly sized compared to something else) ratios.
y/x=c.o.p
c.o.p=constant of proportionality.
the rate of change also know as the constant of (fair in amount, related to something else/properly sized compared to something else)ity (k = y/x) which is the constant ratio between two (fair in amount, related to something else/properly sized compared to something else) amounts y/x represented by the symbol k which may be a positive clear and sensible number. The x value is related to the y value such as in the equation y = kx.
please mark me brainliest:)
HELP ME ASAP IT IS DUE TODAY!!!!!!!! WHOEVER ANSWER THIS WILL BE REWARDED
Answer:
Large Pizza
Step-by-step explanation:
Rewarded with what? :P
Anyway,
The area of a circle is pi*r^2. Additionally, the radius is half the diameter.
The first pizza(s) have diameter 12, which means they have radius 6. The area of one is 6*6*pi=36pi, and since there are two we multiply by 2 to get 72pi.
The second pizza has diameter 18, so radius 9. The area of it is 9*9*pi=81pi.
Clearly 72pi is less than 81pi, so the Large Pizza is biggest.
Hope that helped,
-sirswagger21
(oh yeah and btw give me a million bucks for the reward ty :v)
The center is consideirng signing up for an online game-rental service rather than buying the games. The table shows equipment cost and monthly fees for two services.
Equipment cost mouthy cost
Net games 99$ 8$
Equipment cost mouthy fee
anytime games 19$ 19$
1. Write and solve an inequality that represents the number of months the center could rent games from NetGames with its $175. Explain the solution in terms of the problem.
2. Write and solve an inequality to represent the number of months the center could rent games from Anytime Games. Explain the solution in terms of the problem.
3. Use your answers from 1 and 2 to justify which service the community center should purchase.
Answer:
Here's what I get
Step-by-step explanation:
Total cost = equipment cost + monthly fee × number of months
Let C = total cost
and e = equipment cost
and f = monthly fee
and x = number of months. Then
C = e + f·x
The condition is that C ≤ $175 or
e + f·x ≤ $175
1. NetGear
e = $99; f = $5/mo
The condition is
99 + 5x ≤ 175
[tex]\begin{array}{rcll}99 + 5x & \leq & 175 &\\5x & \leq &76 & \text{Subtracted 99 from each side}\\x & \leq & \dfrac{76}{5} & \text{Divided each side by 5}\\\\x & \leq & \mathbf{15.2} & \text{Simplified}\\\end{array}\\[/tex]
The centre could rent the games for 15 mo.
They would pay $99 for the equipment.
Fifteen months rental at $5/mo = $75.
Total cost = $174.
2. Anytime Games
e = $19; f = $19/mo
The condition is
19 + 19x ≤ 175
[tex]\begin{array}{rcll}19 + 19x & \leq & 175&\\19x& \leq & 156 & \text{Subtracted 19 from each side}\\x & \leq & \dfrac{156}{19} & \text{Divided each side by 19}\\\\x & \leq & \mathbf{8.2} & \text{Simplified}\\\end{array}\\[/tex]
The centre could rent the games for eight months.
They would pay $19 for the equipment.
Eight months rental at $19/mo = $152.
Total cost = $171.
3. Recommendation
The Community Centre should rent from NetGear.
They can rent for 15 mo without going over the budget.
With the other company, they can rent for only eight months.
The graphs below show how the costs for the two companies vary with the number of months.
Anything above the horizontal orange line at C = $175 is beyond the Community Centre's budget.
Find the value of x in the triangle... Then classify the triangle as acute, right or obtuse
34°, acute
134°, obtuse
44°, right
54°, acute
Answer:
x = 44
right
Step-by-step explanation:
The sum of the angles in a triangle add to 180
90+ 46+x = 180
Combine like terms
136+x = 180
Subtract 136 from each side
136+x-136=180-136
x =44
Since we have a 90 degree angle it is a right triangle