Answer:
Half an inch
Step-by-step explanation:
Perimeter of the frame = 28 inches
Length fo the frame = 7 + x + x = (7 + 2x) inches
Width of the frame = 5 + x + x = (5 + 2x) inches
Perimeter of a rectangle is given as: 2(length) + 2(width)
Therefore:
28 = 2(7 + 2x) + 2(5 + 2x)
Solve for x
28 = 2*7 + 2*2x + 2*5 + 2*2x
28 = 14 + 4x + 10 + 4x
Collect like terms
28 = 14 + 10 + 4x + 4x
28 = 24 + 8x
Subtract 24 from both sides
28 - 24 = 24 + 8x - 24
4 = 8x
Divide both sides by 8
4/8 = 8x/8
½ = x
Width of the frame = x = ½ of an inch
The greatest payout for a personal injury was recorded
at $163,882,660 in 1993. The car wreck actually
occurred in the year 1987. If the guilty part paid in the
year the wreck actually happened, what would have
been the equivalent payout in 1987?
Answer: $115,012,850.8
Step-by-step explanation:
given data:
cash out amount in 1993 = $163,882,660
no of years = 7
inflation adjustment carried out on the amount would yield $163,882,660. in 1993 is equal to $115,012,850.8 1987.
This is because the Annual inflation grew over this period at a pace 4.26%.
= 4.26/100 * $163,882,660
= 0.0426 * $163,882,660 * 7
= $48,869,809.21
$163882660 – $48,869,809.21
= $$115,012,850.8
Is 8 3/5 greater than 8 6/7
Answer:
no
Step-by-step explanation:
Answer:
8 6/7 is greater than 8 3/5
Step-by-step explanation:
Step 1:
8 3/5 = 8 21/35
Step 2:
8 6/7 = 8 30/35
Answer:
8 6/7 is greater than 8 3/5
Hope This Helps :)
Here is a figure made of a circle inscribed in a square. If the area of the square is 100 m 2: (a) What is the length of each side of the square? 10 o m (b) What is the radius of the circle? m (c) What is the area of the circle?
Answer:
6
Step-by-step explanation:
3=6
Which of the following inequalities is graphed on the coordinate plane?
Answer: A
Step-by-step explanation:
This picture is very blurry, but the line appears to be a solid line. Since it is a solid line, it tells us that the inequality is ≤ or ≥. We can eliminate C and D. Now, the difference between A and B is the shading. Since the shading is showing that the numbers are increasing, we know that the inequality is ≥. Therefore, A is the correct answer.
9-6=3, 6+3=9, 3+6=9 what is the missing fact family?
Answer:
9-3=6
Step-by-step explanation:
An addition/subtraction fact family has 2 addition equations and 2 subtraction ones.
The question already states both addition ones, but only one subtraction
The subtraction one stated is 9-6=3
The opposite is 9-3=6
Hope this helps :-)
A store is selling two mixtures of nuts in
-ounce bags. The first mixture has
ounces of peanuts combined with five ounces of cashews, and costs
. The second mixture has five ounces of peanuts and
ounces of cashews, and costs
. How much does one ounce of peanuts and one ounce of cashews cost?
Answer:
gfAnswer:Answer:Answer:Answer:Answer:Answer:Answer:
Step-by-step explanation:
fgAnswer:Answer:Answer:Answer:Answer:Answer:Answer:Answer:Answer:Answer:
Point M is the midpoint of AB. The coordinates of point A are (-6, 1) and the coordinates of M are (-3,2).
What are the coordinates of point B?
The coordinates of point B are
Answer:
Let B(a,b) be x1, y1
A(-6,1) be x2,y2
midpoint M(-3,2) be (x,y)
using midpoint formula
(x,y)= [(x1+x2)/2, (y1+y2)/2)
(-3,2) = [(a-6)/2, (b+1)/2}
comparing corresponding value
-3 = (a-6)/2 (b+1)/2 = 2
-6= a-6 b+1=4
a=0 b=3
coordinates of B = (0,3)
Pls Help!!! John and his mother left their house for the market simultaneously. While John's mother was walking with a speed of 15 meters per minute, it took John 3 minutes to walk to the market and back to meet his mother. How long did it take John to get to the market, if his speed was 25 meters per minute?
Answer:
It would take 2.4 minutes
Step-by-step explanation:
Time span can never be different for the same two people. Therefore in 3 minutes, John's mother would have covered a distance of 15(3) = 45 meters. Respectively John would have covered a distance of 25(3) = 75 meters in the same time.
Distance from 'starting point' to the market: 45 m + 15 m = 60 meters,
Time that John takes to return from market, and meet with his mother
=> 15 / 25 (his speed) = 0.6,
Time it takes John to get to the market: 3 - 0.6 = 2.4 minutes
Answer:
2.4 mins
2mins 24 sec
Step-by-step explanation:
Aretailer is having a promotional sale for 35% off all items. There is a 7% sales tax added to the price. Which
represents the situation, where x is the original cost of the item(s)?
Answer:
.65x(1.07) = 0.6955x
Step-by-step explanation:
If f(x) = 2x + 4 and 9 (20) = x - 3, find f (g(x)).
Answer: D
Step-by-step explanation:
To find f(g(x)), you want to take g(x) and plug that into f(x). Since we are given f(x) and g(x), we can go ahead and do that.
f(g(x))=2(x-3)+4 [distribute]
f(g(x))=2x-6+4 [combine like terms]
f(g(x))=2x-2
Now, we know that f(g(x))=2x-2.
12x + 9 - 3x - 4. Please go fast!!!!
Answer:
9x +5
Step-by-step explanation:
combine like terms!
What is the sum of the solutions of the 2 equations
below?
8x = 12
2y + 10 = 22
A. 23
B. 71
7 1
C.
9
D. 10
E. 17.
8x = 12
Divide both sides by 8
x = 12/8 = 3/2
2y + 10 = 22
Subtract 10 from both sides.
2y = 12
Divide both sides by 2
y = 6
6 + 3/2 = 7 1/2
Answer:
7.5 or 7½
Step-by-step explanation:
8x÷4 = 12÷4
2x = 3
x = 3/2 = 1.5
2y + 10 = 22
2y = 12
y = 6
1.5 + 6 = 7.5 = 7½
-2=12/x
pleasee answer
Answer:
Step-by-step explanation:
Compare -9 and square root -9
Answer:
-9 < 3i
Step-by-step explanation:
3i is bigger than -9 because 3i² is equal to -9
i means imaginary number
Hope this helps!
10 x 1/5 in simplest form
Hey there!
ANSWER: [tex]2[/tex]EXPLANATION:[tex]10*1/5[/tex]
Divide 10 by 5.
[tex]10/5=2\\2(ANSWER)[/tex]
Hope this helps!
[tex]-TestedHyperr[/tex]
Answer:
2.
Step-by-step explanation:
[tex]10 *\frac{1}{5} = 2[/tex]
If someone is good in theoram please help me I need help with task 3,4,5
Answer:
C²= A²+B²
Step-by-step explanation:
A) 10²=( Base)² + 6²
(Base )²= 10² - 6²:
100-36
= 64
Base = √ 64
8
B) 17² = 8² + (Height)²
(Height) ² = 17²- 8²
= 289-64
= 225
Height = √225
= 15
C) 2.5² = Base ² + 1.5 ²
Base² = 2.5 ²- 1.5²
6.25- 2.25
= 4
Base = √4
= 2
D) 41² = Base²+ 40²
Base²= 41²- 40²
1681-1600
= 81
Base = √81
=9
E)26²=Base² +10²
Base² = 26²- 10²
676-100
= 576
Base= √576
= 24
F)25²= Base²+ 7²
Base² = 25²- 7²
625- 49
=576
Base= √576
= 24
Find two consecutive even integers such that four times the first equals three times the second
Answer:
1st: 2x
2nd: 2x+2
--------
Equation:
4(2x) = 3(2x+2)
-------
8x = 6x + 6
2x = 6
x = 3
-----
1st 2x = 6
2nd: 2x+2 = 8
Step-by-step explanation:
The two consecutive even integers such that four times the first equals three times the second is 6 and 8.
What is an integer ?An integer is a number which has no decimal part.
According to the given question we have to find two consecutive even integers such that four times the first equals three times the second.
Let, the first even integer to be x.
∴ The second integer will be (x+2). [ As every consecutive even
integers comes after 2 digits]
Now, Four times the first equals three times the second which is
4x = 3(x+2)
4x = 3x + 6.
4x - 3x = 6
x = 6.
∴ The even integer is 6 and the second integer is 8.
learn more about these type of problems here :
https://brainly.com/question/12313844
#SPJ2
Simplify.
(3x2−2x+2)−(x2+5x−5)
4x2+3x−3
2x2−7x+7
2x2−3x−3
2x2+3x−3
Answer:
2x2+3x-3
Step-by-step explanation:
The first thing you want to do is find all the X2"s and add those together and that looks like this 3x2+(-x2) which would be 2x2. Then you want to find all of the x's and add them together which looks like this -2x+5x which is 3x. Then you find all the whole numbers without a variable and that's 2-5 which equals to be -3.
In an arithmetic progession T7 =20 and T13 =38,. Find the first term and the common difference.
Lana uses 0.2 pounds of peaches in each mini pie she makes. How many mini pies can she make with 2.50 pound of peaches?
Answer:
12.5 mini pies or 12 depending on what it asks for
Step-by-step explanation:
Divide 2.50 by 0.2 to get 12.5
The answer can also be 12 because some teachers want students to know that you can't really make half a pie. Whatever your teacher prefers.
3x 40° to Sum of angle measures: 180°
Answer:
yes
Step-by-step explanation:
What is the missing number 7/8 + blank equals 1
Gabby bought 5.15 kg of apples and 1.6 kg of oranges how much fruit did she buy in all
Answer:
6.75kg of fruit
Step-by-step explanation:
5 + 1 = 6
.15 + .6 = .75
6 + .75 = 6.75
Answer:
6.75
Step-by-step explanation:
Add 5.15 and 1.60
5.15
1.60
6.75
the probability of a particular digit is more than 8%. the graph represents the situation. which values are included in the solution set? check all that apply
Answer:
1 and 4
Step-by-step explanation:
ed 2020
Answer:
Option B. 1 and Option E. 4
Step-by-step explanation:
Find the derivative of the function. y = tan2(8θ)
Answer:
16tan(8θ)sec²(8θ)
Step-by-step explanation:
Given the question :
Find the derivative of the function. y = tan2(8θ)
y = tan²(8θ)
USing chain rule :
dy/dx = (du/dx) × (dv/du) × (dy/dv)
Let u = 8θ ; du/dθ = 8
v = tan u ; dv/du = sec²u
y = v² ; dy/dv = 2v
Hence,
(dy/dθ) × dv/du × dy/dv
8 * sec²u * 2v
Where v = tan u ; u = 8θ
8 * sec²8θ * 2tan8θ
16tan(8θ)sec²(8θ)
Use the distributive property to fill in the blanks below.
(8 x 5) + (8 x 2) = 8 x (_ + _)
[tex]\boxed{\sf ab+ac=a(b+c)}[/tex]
[tex]\\ \rm\longmapsto (8\times 5)+(8\times 2)[/tex]
[tex]\\ \rm\longmapsto 8(5+2)[/tex]
[tex]\\ \rm\longmapsto 8(7)[/tex]
[tex]\\ \rm\longmapsto 56[/tex]
Find the weighted average of these values.
Value Weight
5.005.00 75.0%75.0%
6.006.00 15.0%15.0%
7.007.00 10.0%10.0%
Answers:
The Weighted Average = 5.35
Explanation:
The weighted average is given by:
W(avg) = v1*w1 + v2*w2 + v3*w3
v1.v2.v3 are the values
w1,w2,w3 are the weights
W(avg) = 5.00*0.75 + 6.00*0.15 + 7.00*0.10
W(avg) = 3.75+0.9+0.7
W(avg) = 5.35
Hence, the weighted average is equals to 5.35
An angle measuring 3.6 radians is drawn in standard position?
In what quadrant will the terminal side of this angle lie?
Express your answer as a Roman numeral.
Answer:
III
Step-by-step explanation: I just took the quiz
Helppppp!!!!!!! Gehjdhdhxjndhzjsvahsj
Answer:
don't worry bbg I got you give me a moment
Subtract. −3 2/7 − (−5/7)
Enter your answer in the box as mixed number in simplest form.
___
Answer:
-2 4/7
Step-by-step explanation:
−3 2/7 − (−5/7)
Subtracting a negative is like adding
−3 2/7 + (5/7)
Since the signs are difference we subtract and take the sign of the larger number
3 2/7 - 5/7
Borrow from the whole number
2+ 7/7 + 2/7 - 5/7
2 9/7 - 5/7
2 4/7
The sign of the larger number is negative so add the negative sign
- 2 4/7
Answer:
- 2 4/7
Step-by-step explanation:
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