A photo is usually rectangular in shape. This means that if a frame is to be put around the photo with the same width all round, it means that if the width is "x", then the new length and width will be (l + 2x) and (w + 2x) respectively where l is length and w is width.
Option C is the correct answer
Data Given;
Height of Photo: 16 cm
Width of Photo: 20 cm
Since she wants to put a frame with same width around the photo, let's represent this width as x.
Thus;
New height = 16 + 2x
New width = 20 + 2x
Area of a rectangle is given as:
A = Length * width
Thus, in this case;
A = (16 + 2x) × (20 + 2x)
Multiplying out, we have;
A = [tex]4x^{2} + 32x + 40x + 320[/tex]
A = 4[tex]x^{2} + 72x + 320[/tex]
Looking at the given options, Option C is the correct answer
Read more at: brainly.com/question/11289399
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle C?
Enter your answer in the box.
Answer:
C = 80
Step-by-step explanation:
A cyclic quadrilateral is one where all 4 vertices touch the circumference of a circle.
It has 1 interesting property that should concern you: <B + <D = 180 degrees.
3x - 59 + 2x - 1 = 180 Combine like terms
5x - 60 = 180 Add 60 to both sides.
5x = 180 + 60
5x = 240
x = 240/5
x = 48
Now go to 2x + 4.
x = 48
A = 2*48 + 4
A = 96 + 4
A = 100
So C = 180 - 100
C = 80
how many numbers are there between 256 and 789 that are divisible by 7
Answer:
76
Step-by-step explanation:
How many numbers are between 256 and 789 are divisible by 7 ?
Generalizing, we could look for a procedure that, given two integers A and B, with B>A , and a module M, tells us how many integers x, with A<=x<=B , are divisible by M.
a) let n1 be the lowest integer >=A such that n1 is divisible by M.
If n1>B , than not even n1 has the required properties and the output of the procedure is 0; otherwise, go to the next step.
n1 will be the first number of the sequence of numbers divisible by M.
b) let n2 be the highest integer <=B such that n2 is divisible by M.
Notice that it’s not possibile that n2<A , as you alway have the possibility n2=n1 .
n2 w
A simple way to think about this is by calculating the largest multiple of 7 less than 256 (let’s call it y) and the smallest multiple of 7 greater than 789 (let’s call it x). The answer is then all the multiples of 7 in between these two numbers, which can be represented by:
x−y7−1
Let’s do it:
252 is the largest number less than 256 divisible by 7. y = 252
791 is the smallest number greater than 789 that’s divisible by 7.
Thus, our answer is 113-36–1 = 76.
Note: we subtract 1 or else we would include the number on the top end of the range (in this case, 791).
Hope it helped you!!
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2/3 divided by 1 3/7
Answer:0.46
Step-by-step explanation:
Work out the value of (312 ÷ 35) ÷ (32 × 3)
Answer:
[tex](312 \div 35) \div (32 \times 3) \\ \\ 8.914 \div 96 \\ \\ = 0.09[/tex]
What letter stays the same when reflected over the x-axis
When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.p explanation:
Y=8x use this calculate y when x = 30
Answer: y is 240
Step-by-step explanation:
Simplify by using the law of exponent (3/7)2 * (3/7)
Answer:
7^3 or 343
Step-by-step explanation:
2*3=6
7×7×7×7×7×7=117649
7^3=7×7×7=343
117649/343=343 or 7^3
Round your answer to the nearest hundredth
Answer:
200
Step-by-step explanation:
90-35=125
180-125=55
55x4=220
220= 200
Look at this table.
Hours of
Training
10
20
30
40
50
60
70
Monthly
Pay
1100
1200
1300
1400
1500
1600
1700
According to the table, how many hours of training would you need to have a
monthly pay of $2000?
A. 90
B. 80
C. 100
Answer:
100
Step-by-step explanation:
if the pattern continues it looks like the equation f(x)=10x+1000 so you would need 100 hours to make 2000 dollars
-5n-4(-7-4n)=36+7n
What is N?
Answer:
n=2
Step-by-step explanation:
-5n-4(-7-4n)=36+7n
Distribute
-5n +28 +16n = 36+7n
Combine like terms
11n +28 = 36+7n
Subtract 7n from each side
11n+28-7n = 36+7n-7n
4n+28 = 36
Subtract 28 from each side
4n+28-28 = 36-28
4n = 8
Divide by 4
4n/4 = 8/2
n=2
Which function is graphed?
Answer:
B.
Step-by-step explanation:
ik just trust because first one is less than so its undefined and the other is less then or equal to
3x-2=9x+10-6x
I need help ASAP pls
Answer:
[ no solution ]
Step-by-step explanation:
[tex]3x - 2 = 9x + 10 - 6x[/tex]
group x terms together and constants together:
[tex]3x - 9x + 6x = 10 + 2[/tex]
factorise out x on the left hand side :
[tex] x(3 - 9 + 6) = 12 \\ x(0) = 12[/tex]
since coefficient of x is 0, there is no solution.
Need help with these 3
Answer For Number 4: The distance between the two points is five.
Step-by-step explanation:
First outline the triangle, draw lines connecting the two points and form a right angle triangle. Use the graph to count the distance between point A and point B ( the one at the bottom point A, and the one towards the top point B ). Sorry, Imma stop explaining this because I suck at wording, I’ll show how to solve with picture.
Find the perimeter and area of the figure.
5 cm
The perimeter of the figure is
centimeters
The area of the figure is
square centimeters.
PS: I got it wrong and I need help :)
Answer:
The perimeter is 20 cm.
The area is 25 cm^2.
Step-by-step explanation:
The perimeter is the distance around the figure.
This is a square, so each side is the same length.
There are four sides, so
5 + 5 + 5 + 5 = 20 cm
The area of the figure is
s^2
where s is a side
so 5 * 5 = 25 cm^2
what is the fraction 3/5 written as a Percent
A. 6%
B. 30%
C. 60%
D. 167%
Answer:
60%
Step-by-step explanation:
percent means out of 100
3/5 * 20/20
60/100
60 %
Answer:
C. 60%
Step-by-step explanation:
the temperature for the first 4 days in january was -2 degrees
the mean temperature for the first 5 days in january was 0 degrees
what was temperature on the 5th day ?
URGENT
let's assume the temperature on 5th day be x
We know that :
[tex] \boxed{mean = \frac{sum \: \: of \: all \: \: observations}{number \: \: of \: \: observations} }[/tex]
So,
[tex] \hookrightarrow \: 0 = \dfrac{ - 2 + ( - 2) + ( - 2) + ( - 2) + x}{5} [/tex]
[tex] \hookrightarrow \: 0 \times 5= - 2 - 2 - 2 - 2 + x[/tex]
[tex] \hookrightarrow \: 0 = - 8 + x[/tex]
[tex] \hookrightarrow \: x = 8[/tex]
Therefore, temperature on the fifth day was x = 8
- Judy wrote a check for $63, then made a deposit
of $ 110. What was the overall chang to her
Account.
Answer:
$47
Step-by-step explanation:
110-63=47
Answer:
+$47
Step-by-step explanation:
As you are calculating for change, assume that the bank account has $0.
Judy wrote a check for $63, or she withdrew $63:
0 - 63 = -63.
Next, she deposited $110, or she added $110:
-63 + 110 = 47
The over all change to her account is a net profit of +$47.
~
Simplify each expression completely.
7[3+2(x-4)-6(x-4)]
Answer:
21 + 14x - 56 - 42x + 168
= 133 - 28x
Step-by-step explanation:
Answer:
19 - 4x
Step-by-step explanation:
[tex]3 + 2(x - 4) - 6(x - 4)[/tex]
[tex]3 + 2x - 8 - 6(x - 4)[/tex]
[tex]3 + 2x - 8 - 6x + 24[/tex]
[tex]19 + 2x - 6x[/tex]
[tex]19 - 4x[/tex]
Taylor has a bank account earning 5 percent interest compounded annally. If her initial deposit was a 1,000, and she makes a withdrawal of $200 after 3 years, which of the following represents the total amount in her account after 7 years.
(A) 1,000 (1.05)^7- 200
(B) 1,000 (1.05)^3 + 800(1.05)^4
(C) 1,000 (1.05)^3 -200( 1.05)^4
(D) 1,000(1.05)^7 - 200(1.05)^4
Ray has gone 3/5 of a kilometre. How many metres has he gone?
Step-by-step explanation:
3/5 of a kilometre
=3/5×1000 meters
=3000/5 meters
=600 meters
Answer:
600 metres
Step-by-step explanation:
1 kilometre equals 1,000 metres.
[tex]\frac{3}{5}[/tex](1000) = 600 metres
If you need more clarification, ask me in the comments. Thanks!
What is the GCF of 48&72
Answer:
24 is GCF
Step-by-step explanation:
48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
72 = 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Factors they have in common: 1, 2, 3, 4, 6, 8, 12, 24
24 is the greatest factor they have in common; therefore, 24 is the greatest common factor, or GCF
Find the last three digits of the sum A=11!+12!+13!+...+2006!
Answer:
996
Step-by-step explanation:
n = 2006-11+1 = 1996
the sum A = 1996/2 × (11+2006)
= 2,012,996
so, the last 3 digits : 996
what is n (AUB) if (A)=25,n(B) = 10 and BCA
Answer:
35
Step-by-step explanation:
It is in the above photo .
which of the following are geometric sequences?
a: 5,10,20,40,80,160
b: 3,6,9,12,15,18
c: 10,5,2.5,1.25,0.625,0.3125
d:1,3,9,27,81
Answer:
A, C, D
Step-by-step explanation:
This is because the ratio between te consecutive terms are constant, that is ×2, ×0.5 and ×3 respectively
Can you please answer this?
Step-by-step explanation:
plan a 40dollars
plan b 30 dollars
plan b cost less
Mark me brainliest plsss
Help please I truly appreciate it
Answer:
-12
Explanation:
2x + 8y
x = -7 and y = -1/4
plug in values of x and y
2(-7) + 8(-1/4)
multiply 2 and -7
-14 + 8(1/4)
multiply 8 and 1/4
-14 + 2
add
=-12
Answer:
2(-7)=8(1/4)
-14+8x1/4
-14+8/4
-14+2
-12
Step-by-step explanation:
pls I need clear workings.
(A.)evaluate without tables
1.)3log2+log20-log1.6
2.)log√2/log9
3.)log0.2/log25
4.)if logx-log(2x-1)=1,find x?
Answer:
1)2.602
3)-2.007
4)x=10/19
Step-by-step explanation:
steps are in the picture.
Note:if you need to ask question,I'll answer it
Is the following rational or irrational?
Square root 16
Square root 12
12/5
0.36274959282619
Answer:
rational
irrational
rational
rational
Step-by-step explanation:
Square root 16 = 4 rational since it can be written as a fraction of integers
Square root 12 = 2 * sqrt(3) irrational since sqrt(3) is irrational
12/5 rational since it is a fraction of integers
0.36274959282619 rational since it is a terminating decimal
10 +6.1n 8 + 6.3n
What is N
Answer:
30.4n
Step-by-step explanation:
10+8+6.3n+6.1n
18+12.4n
30.4n
2 questions
***************
Step-by-step explanation:
1) As U is the mid point of TV ,it divides the whole line in two equal parts:
TV=TU+UV
TU=UV
Subtitute values:
5x+6=23+23
5x+6=46
5x=46-6
5x=40
x=40/5
x=8
2) Q is mid point of PR so PQ=QR
PR=PQ+QR
15x-29=6x-1+6x-1
15x-29=12x-2
15x-12x=29-2
3x=27
x=27/3
x=9
Note:if you need to ask any question please let me know.