Answer:
400
Step-by-step explanation:
98.46 = 100
8 is closer to 10 than 0
4.11 = 4
1 is closer to 0 than 10
100 x 4 = 400
Benny has a baseball card collection he has 13,789 cards he wants to put the card in a scrapbook that holds 15 cars on a page how many pages does Denny need in his scrapBook.
Answer:
920 pages
Step-by-step explanation:
Divide 13,789 by 15, you should get 919.27 so just round up so you can hold all the cards.
Given that rectangle ABCD has coordinates A(0,0), B(12,0), C(12,6), and D(0,6), F is the midpoint of AB¯¯¯¯¯, and G is the midpoint of CD¯¯¯¯¯, which of the following proves that FB=GC?
1. By the Distance Formula, the coordinates of F are (6, 0) and the coordinates of G are (6, 6).
Then FB = 12, and GC = 12.
Thus FB = GC.
2. By the Distance Formula, the coordinates of F are (6, 12) and the coordinates of G are (6, 0).
Then FG = 6, and GC = 6.
Thus FG = GC.
3. By the Midpoint Formula, the coordinates of F are (6, 0) and the coordinates of G are (6, 6).
Then FB = 6, and GC = 6.
Thus FB = GC.
4. By the Midpoint Formula, the coordinates of F are (6, 6) and the coordinates of G are (6, 0).
Then FB = 6, and GC = 6.
Thus FB = GC.
The midpoint of the sides [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are the points that half way between [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] respectively.
The option that proves [tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex] is option 3
3. By the Midpoint Formula, the coordinates of F are (6, 0) and the coordinates of G are (6, 6). Then [tex]\overline{FB}[/tex] = 6, and [tex]\overline{GC}[/tex] = 6. Thus [tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex]Reasons:
The given coordinates of the vertices of rectangle ABCD are;
A(0, 0), B(12, 0), C(12, 6), and D(0, 6)
The midpoint of side [tex]\overline{AB}[/tex] = Point F
The midpoint of side [tex]\overline{CD}[/tex] = Point F
The coordinates of point F is given by the midpoint formula, as follows;
[tex]\displaystyle \mathrm{The \ midpoint \ of \ a \ line \ with \ endpoints \ (x_1, \ y_1) \ and \ (x_2, \ y_2) = \mathbf{ \left(\frac{x_1 + x_2}{2}, \ \frac{y_1 + y_2}{2} \right) }}[/tex]
Which gives;
[tex]\displaystyle \mathrm{The \ coordinate \ of \ F \ the \ midpoint \ of \ \overline{AB} = \mathbf{ \left(\frac{0 + 12}{2}, \ \frac{0 + 0}{2} \right)} =(6,\ 0)}[/tex]
The coordinates of point F = [tex]\underline{(6, \ 0)}[/tex][tex]\displaystyle \mathrm{The \ coordinate \ of \ G \ the \ midpoint \ of \ \overline{CD} = \left(\frac{12 + 0}{2}, \ \frac{6 + 6}{2} \right) =(6,\ 6)}[/tex]
The coordinates of point G = [tex]\underline{(6, \ 6)}[/tex][tex]\overline{FB}[/tex] is parallel to the x-axis, therefore;
The length of [tex]\overline{FB}[/tex] = 12 - 6 = 6Similarly, [tex]\overline{GC}[/tex] is parallel to the x-axis, therefore;
The length of [tex]\overline{GC}[/tex] = 12 - 6 = 6Which gives;
[tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex] = 6The correct option is that proves [tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex] is option 3.
By the Midpoint Formula, the coordinates of F are (6, 0) and the coordinates of G are (6, 6). Then [tex]\overline{FB}[/tex] = 6, and [tex]\overline{GC}[/tex] = 6. Thus [tex]\overline{FB}[/tex] = [tex]\overline{GC}[/tex]
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the price of a pair of shoes increases from $58 to $61 What is the percent increase to the nearest percent?
please help I will mark brainliest
Answer:
23.08
Step-by-step explanation:
simplify - 8t + 3r - 7t - 9r
Answer:
15t+12r
Step-by-step explanation:
you have to do like term like -8t and-7t that is like term so the next like term is 3r and -9r
A car is sold for £7,800 If this represents a depreciation in value to 60% of its original
price, then calculate the original price of the car.
Answer:
6,543
Step-by-step explanation:
This is my guess ONLY.
A pile of newspapers in Mr. Moore’s ELA class was 17 ¾ inches high. Each consecutive week, for the next 5 weeks, the height of the pile of newspapers increases by 8 712 inches each week. What was the height, in inches , of the pile after 3 weeks? Step by step plz
Answer:
43 1/2
Step-by-step explanation:
answer will be:
original height plus 3 times 8 7/12 inches
3 times 8 7/12 can be done by converting the mixed number to an improper fraction:
[tex]\frac{3}{1}[/tex] · [tex]\frac{103}{12}[/tex] = [tex]\frac{103}{4}[/tex] = 25 3/4
25 3/4 added to 17 3/4 equals 42 6/4 which is 42 + 1 1/2 = 43 1/2
What is its inverse? F= {5,-1),(4,8),(6,8),(4,9)
Answer:
Hence, f −1 (x) = x/3 + 2/3 is the correct answer.
Step-by-step explanation:
Verify (f ∘ f−1) (x) = x
(f ∘ f−1) (x) = f [f −1 (x)]
= f (x/3 + 2/3)
⟹ 3(x/3 + 2/3) – 2
⟹ x + 2 – 2
= x
Hence, f −1 (x) = x/3 + 2/3 is the correct answer.
Step-by-step explanation:
m(gradient) =y2-y1/x2-x1
=8-(-1) /4-5
=8+1/-1
=9/-1
=-9
y-y1=m(x-x1)
y-(-1)=-9(x-5)
y+1=-9x+45
y=9x+45-1
y=9x+44(rule)
Inverse>y+44=9x
y+44/9=9x/9
x=y+44/9
Therefore inverse is y=x+44/9
4) A line has a slope of -5 and passes through the point (2, 2). An equation for this line is
Answer:
[tex]D: y= -5x+12[/tex]
Step-by-step explanation:
Since the slope is -5 is either C or D. Let's replace [tex]x= 2[/tex] in either to see what we get.
C: [tex]-5(2)-2 = -12[/tex] Nope.
D: [tex]-5(2) +12 = 2[/tex] Good!
Geometry:
Classify the relationship between each pair of angles as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
1. <6 and <3
2. <4 and <7
3. <5 and <4
Pls help me i have no idea what i'm doing:(
Answer:
Step-by-step explanation:
.<6 and <3
SOLUTION:
Interior angles that are non adjacent and lie on
opposite. In the figure, angles <5 and <4 are consecutive interior
angles. sides of the transversal are alternate interior
angles.
<4 and <7
SOLUTION:
In the figure, angles 1 and 3 are corresponding
angles. Use the Corresponding Angles Postulate:
If two parallel lines are cut by a transversal, then
each pair of corresponding angles is congruent
Find the perimeter.simplify your answer.
Answer:
proly
Step-by-step explanation:
2 * (2z-9) + 2 * (10z)
4z-18 + 20z
24z - 18
Answer:
22z
Step-by-step explanation:
10+10+2z-9+2z-9= 22z
Here is the problem: (Picture)
Answer:
c
Step-by-step explanation:
BATTERY LIFE The battery life of a certain cell phone starts at 8 hours. The battery life decreases at an annual rate of 30%.
a. Write a function that represents the battery life y after x years.
Answer:
[tex]y=8(0.7)^x[/tex]
Step-by-step explanation:
Next, the battery life decreases by 30% per year. You didn't state if this is linear or exponential, so I'll assume exponential because linear doesn't make much sense in this case..
For an exponential function, the battery life will be decreasing by 30% over the previous year, not over the original. Decreasing by 30% is multiplying by 70%, or just 0.7.
Exponential form:
[tex]y=a(b)^x[/tex]
where a is the original value and b is the percent change.
In your question:
[tex]y=8(0.7)^x[/tex]
The function that represents the battery life y after x years is y = 8(0.7)ˣ.
What does exponential function ?A quantity grows (or depreciates) exponentially if the increase (or decrease) in the amount is a multiple of the previous amount.
Now it is given that,
Battery life starts = 8 hours
Annual decrease rate = 30% = 0.30
So, battery life after an year = 100% - 30% = 70% = 0.7
Now if battery life y after x years
Annual decrease rate after x years = (0.7)ˣ
Thus battery life, y = 8(0.7)ˣ
Thus, the function that represents the battery life y after x years is y = 8(0.7)ˣ.
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HELP ASAPPPPPPPPPPPPP
Answer:
Answer: A
Step-by-step explanation:
(go to attachment to see explanation)
hope this helped :D
When solving an equation, Tina gets to the last of line of her work and is left with "7=7." What does this mean?
A
The solution is 7
B
There is infinite solutions.
С
There is only one solution
D
There is no solution.
Answer:
B , there are infinite solutions.
Step-by-step explanation:
If you end an equation with a true statement, such as 0 = 0, then any value of the variable(s) you are solving for will satisfy the equation. This means that there are infinite solutions.
what is the slope of the line graphed on the coordinate plane
Answer:
The slope = 3/4
Step-by-step explanation:
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
[tex]m=\frac{6-3}{2-(-2)}=\frac{6-3}{2+2}[/tex]
m = 3/4
Solve the system of linear equations below.
6x + 3y = 33
4x + y = 15
A x = 2, y = 7
B. X = -13, y = 7
C x = -2/3, y = 12*2/3
D. x = 5, y = 1
Answer:
A
Step-by-step explanation:
6x+3y=33 <=> 2x+y=11<=>4x+2y=22 (1)
4x+y=15 (2)
(1)-(2) <=> y=7
Answer:
A x = 2, y = 7
Step-by-step explanation:
6(2)+3(7)= 33
4(2)+(7)=15
Choose the correct definition of
(2)
from below.
A.
kI
n!(n – kỳ!
B.
n!
(n-k)!
C.
!
k!(n-k)!
D.
n!
K!(K-n)!
Answer:
Answer is C noumber
Step-by-step explanation:
We know that a combination is a collection of the items where the order doesn't matter. It is a way to calculate the total outcomes of an event where order of the outcomes does not matter. It is denoted by C(n,k) or (n,k) or (n/k).
The formula for the number of combinations of n things taken r at a time is given by :-
C(n,k)=(n/k)=\frac{n!}{k!(n-k)!}C(n,k)=(n/k)=
k!(n−k)!
n!
Hence, C is the right option.
ashtons containor of water holds 80 milliliters. nelsons container holds 9/16 of that amont. how many milliniters of water do the two containors hokd together
Answer: Neither
Step-by-step explanation: Technically the containers hold no water at all as they hold only the bottles in which the water is actually contained. So the answer I suppose is 'Neither'.
Could someone help me solve for this question? I have a hard time
Understanding. Thanks, the question is
Which statement describes the end behavior of the exponential equation y = 3^x?
A as x -> - ♾ , y -> - ♾
B as x -> - ♾ , y -> 0
C as x - > ♾ , y -> - ♾
Answer:
the answer is b ok understand
a) ( -14) + 5 + 17 + 14
Answer:
= 22 is the answer, if I got it wrong I tried to help
Answer:
22
Step-by-step explanation:
Please give BRANIEST and heart!
Find the area of the polygon below. ( and please show work)
Answer:
89.6875
Step-by-step explanation:
you need to find out area of rectangle (length x width) and add area of the triangle (length x width divided by 2)
Which of the following represent the same level of precision? Check all that
apply.
A. 90 liters
B. 5.9 liters
C. 13.6 liters
D. 94 liters
Answer:
I got C&B
Reasoning: just did this test, however the answer might be different for anyone else.
5.9liters and 13.6 liters, and 90 liters and 94 liters represents the same level of precision.
What is precision?Precision is a number that shows an amount of the information digits and it expresses the value of the number.
Same level of precision refers to degree of significant figures or how many numbers after the decimals.
According to the given question, we have to find the numbers which represent same level of precision.
From the given options,
5.9 liters and 13.6 liters have the same level of precision because there is only one number after the decimal.
And, 90 and 94 have the same level of precision (no decimal).
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Solve for x using
multiplication.
Cross
-
3x - 3
5
=
2x - 2
4.
x = [?]
Answer:
x = 1
Step-by-step explanation:
[tex]\frac{3x-3}{5}[/tex] = [tex]\frac{2x-2}{4}[/tex] ( cross- multiply )
4(3x - 3) = 5(2x - 2) ← distribute parenthesis on both sides
12x - 12 = 10x - 10 ( subtract 10x from both sides )
2x - 12 = - 10 ( add 12 to both sides )
2x = 2 ( divide both sides by 2 )
x = 1
How can I find a rule in a math question
Answer:
Step-by-step explanation:
How to write the rule of a function given the table of values. To write the rule of a function from the table is somehow tricky but can be made easier by having prior knowledge of the type of function. If the function is a linear function, plugging any two sets of values from the table into the equation y = ax + b, where a and b are constants to be found and x, y are values taken from the table. Solving the two equations obtained simultaneously gives the values of a and b and hence the required rule.
Similarly, if the function is a quadratic equation, plugging any three sets of values from the table into the equation y = ax^2 + bx + c, where a, b, c are constants to be found and x, y are values taken from the table. Solving the three equations obtained simultaneously gives the values of a, b and c and hence the required rule. For tables with no prior knowledge of the type of function, a series of trial and error will lead us to the solution of the problem.
Identifying values in the domain PLS HELP
6 of 10
Type the expression that results from the following series of
steps:
Start with k, subtract 2, multiply by 6, then add 8.
Step step :
k k - 2k - 2 × 6 k - 2 × 6 + 8-HayabusaBrainly
please answer it i need help
This is karma for doing this to some one else :)
regdcd gvfd vcds xgrcd xre dse dxf crdx vcfx gvf c fcvr fvcrdgbv
SIMPLIFY THESE!! I WILL MARK U BRAINLIEST!!
Answer:
see explanation
Step-by-step explanation:
Using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex]
(a)
[tex]4^{9}[/tex] × 4³ = [tex]4^{(9+3)}[/tex] = [tex]4^{12}[/tex]
(b)
[tex]6^{5}[/tex] × 6² = [tex]6^{(5+2)}[/tex] = [tex]6^{7}[/tex]
(c)
[tex]8^{6}[/tex] ÷ 8 = [tex]8^{(6-1)}[/tex] = [tex]8^{5}[/tex]
(d)
[tex]7^{8}[/tex] ÷ [tex]7^{6}[/tex] = [tex]7^{(8-6)}[/tex] = 7²
Liza bought 5.035 kg of chicken. Write its weight in words.
Answer:
five point zero three five
can you answer for angle T