Answer:
NO SOLUTION
Step-by-step explanation:
By the give me brainlist please
The combined area of the photo and mat needs to be 224 square inches. The equation that represents the combined area is
(2w +8)(2w + 10) = 224, where w represents the width of the mat around the photo.
What should the width of the mat be?
Enter your answer as the correct value, including units, like this: 42 meters
Be sure to use the correct units from the context of the problem
The width of the mat around the photo is 3 inches
The combined area of the of the photo and math = 224 square inches
The combined area is represented as:
(2w +8)(2w + 10) = 224
Expand the equation using the distributive rule
[tex]4w^2+20w+16w+80=224\\\\4w^2+36w+80-224=0\\\\4w^2+36w-144=0[/tex]
Divide through by 4
[tex]w^2+9w-36=0[/tex]
Factorize the resulting quadratic equation to solve for w
[tex]w^2-3w+12w-36=0\\\\w(w-3)+12(w-3)=0\\\\(w-3)(w+12)=0[/tex]
w - 3 = 0
w = 3
w + 12 = 0
w = -12
The width of the mat around the photo is 3 inches
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The width of the mat around the photo is 3 inches
Combined area:
2w +8)(2w + 10) = 224
where,
w = width of the mat around the photo
(2w +8)(2w + 10) = 224
open parenthesis
4w² + 20w + 16w + 80 = 224
4w² + 36w + 80 - 224 = 0
4w² + 36w - 144 = 0
divide through by 4
w² + 9w - 36 = 0
solve quadratic equation using factorization method
w² + 12w - 3w - 36 = 0
w(w + 12) - 3(w + 12) = 0
(w + 12) (w - 3) = 0
w + 12 = 0 or w - 3 = 0
w = -12 or w = 3
The width of the mat around the photo cannot be a negative value.
Therefore, the width of the mat around the photo is 3 inches
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Which numbered choice shows a set of numbers whose product is -20 and whose sum is +1?
Use the above balance sheet for the ABC Bank. Assume the reserve ratio is 20 percent. Assuming the bank (single bank) loans out all of its excess reserves, and has a check cleared against it for that amount loaned, its actual reserves and checkable deposits will now be:
Find g(-7) for g(t) = 4t^2
Answer:
196
Step-by-step explanation:
Just plug in a -7 for everywhere there is a t:
[tex]g(t)=4t^2\\g(-7)=4(-7)^2\\g(-7)=4*49=196[/tex]
one hundred seventy nine
Which expression is equivalent to -8(10x – 3)?
A) -80x + 24
B) -80x - 24
C) - 80x - 3
D) -80x + 3
Answer:
-8(10x-3) = -80x+24 = A
Step-by-step explanation:
yr welcome
What is the value of
8x2 + 3x when x = 4?
Answer:
28
Step-by-step explanation:
8*2=16
3*4=12
Then you add 16+12
hopefully it helps
Answer:
76
Step-by-step explanation:
plug in 4 in the equation:
8(4)2 + 3(4) = 76
Carry out the following integrals, counterclockwise, around the indicated contour
For the first integral, z = π/4 is a pole of order 3 and lies inside the contour |z| = 1. Compute the residue:
[tex]\displaystyle \mathrm{Res}\left(\frac{e^z\cos(z)}{\left(z-\frac\pi4\right)^3}, z=\frac\pi4\right) = \lim_{z\to\frac\pi4}\frac1{(3-1)!} \frac{d^{3-1}}{dz^{3-1}}\left[e^z\cos(z)\right][/tex]
We have
[tex]\dfrac{d^2}{dz^2}[e^z\cos(z)] = -2e^z \sin(z)[/tex]
and so
[tex]\displaystyle \mathrm{Res}\left(\frac{e^z\cos(z)}{\left(z-\frac\pi4\right)^3}, z=\frac\pi4\right) = - \lim_{z\to\frac\pi4} e^z \sin(z) = -\frac{e^{\pi/4}}{\sqrt2}[/tex]
Then by the residue theorem,
[tex]\displaystyle \int_C \frac{e^z\cos(z)}{\left(z-\frac\pi4\right)^3} \, dz = 2\pi j \left(-\frac{e^{\pi/4}}{\sqrt2}\right) = \boxed{-\sqrt2\,\pi e^{\pi/4} j}[/tex]
For the second integral, z = 2j and z = j/2 are both poles of order 2. The second poles lies inside the rectangle, so just compute the residue there as usual:
[tex]\displaystyle \mathrm{Res}\left(\frac{\cosh(2z)}{(z-2j)^2\left(z-\frac j2\right)^2}, z=\frac j2\right) = \lim_{z\to\frac j2}\frac1{(2-1)!} \frac{d^{2-1}}{dz^{2-1}}\left[\frac{\cosh(2z)}{(z-2j)^2}\right] = \frac{16\cos(1)-24\sin(1)}{27}j[/tex]
The other pole lies on the rectangle itself, and I'm not so sure how to handle it... You may be able to deform the contour and consider a principal value integral around the pole at z = 2j. The details elude me at the moment, however.
4. Calculate Karl Pearson's Coefficient of Correlation X 43 44 46 40 44 42 45 42 38 40 42 57. Y 29 31 19 18 19 27 27 29 41 30 26 10
Answer:
Enter the following transactions into richard’s checkbook register and state his ending balance: date type description amount 03/01 check #204 blue sky apartments $455. 00 03/05 dep payroll automatic deposit $390. 36 03/08 debit benny’s hamburgers and fries $9. 20 03/15 check #205 car payment $251. 59 03/19 dep payroll automatic deposit $390. 36 a. $715. 79 b. $1,009. 81 c. $780. 72 d. $880. 24.
While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After
returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars
does Phelan now have? Round to the nearest cent.
1 European euro = 1,3687 US dollars
O 44.70 US dollars
O 73.06 US dollars
O 136.87 US dollars
O 140.41 US dollars
Answer:
$140.41
Step-by-step explanation:
250 * 1.3687 = 3412.175 Euros.
- 150 Euros = 192.175
192.175 1.3687 = $140.41
Help meeeeeeeeeeeeedsddsss9
Answer:
2(x + 3) <9
Step-by-step explanation:
Two times the quantity of a number increased by 3 is less than 9
2 · (x + 3 ) < 9
= 2(x + 3) <9
Simplify 1.25 (-x -4)
Answer:
-1.25x-5
Step-by-step explanation:
Multiply using Distribution:
1.25(-x-4)
-1.25x-5
My answer can't be simplified anymore, since there isn't any like terms.
What is the equation of the line passing through the point (2, 3) and perpendicular to the line y=2x+7?
Answer:
[tex] -\frac{1}{2}x + 4[/tex]
6(6n+3) distributive property
Answer:
36n + 18
Step-by-step explanation:
6 * 6n = 36n
6 * 3 = 18
36n + 18 = 36n + 18
Answer:
36n+18
Step-by-step explanation:
6(6n+3)
(6×6n)+(6×3)
36n+18
But if you want it simplifed, you can divide both 36n and 18 by 18 and you will be left with 2n+1
The body mass index, I, can be used to determine an individual's risk for heart disease. An index less than 25 indicates a low risk. The body mass index is given by
700W
the formula, or model, I=
where W= weight, in pounds, and H = height, in inches. Jerome is 70 inches tall. What weights will keep his body mass index
H2
between 20 and 28?
Using the BMI equation, it is found that weights between 139.4 and 195.2 pounds will keep his BMI between 20 and 28.
The BMI B, for a person of weight w(in pounds) and height h(in inches) is given by:
[tex]BMI = \frac{703w}{h^2}[/tex]
In this problem:
Height of 70 inches, hence [tex]h = 70[/tex].For a BMI of 20 inches, the weight is:
[tex]BMI = \frac{703w}{h^2}[/tex]
[tex]20 = \frac{703w}{70^2}[/tex]
[tex]w = \frac{20 \times 70^2}{703}[/tex]
[tex]w = 139.4[/tex]
For a BMI of 28 inches, the weight is:
[tex]BMI = \frac{703w}{h^2}[/tex]
[tex]28 = \frac{703w}{70^2}[/tex]
[tex]w = \frac{28 \times 70^2}{703}[/tex]
[tex]w = 195.2[/tex]
Weights between 139.4 and 195.2 pounds will keep his BMI between 20 and 28.
To learn more about the BMI, you can take a look at https://brainly.com/question/24457127
what is the answer
-1/2n^2+18=0
n= ___
Answer:
n = 6 , − 6
Step-by-step explanation:
Take the root of both sides and solve.
[tex]-\cfrac{1}{2}n^2+18=0\implies 18=\cfrac{1}{2}n^2\implies 18=\cfrac{n^2}{2}\implies 36=n^2 \\\\\\ \stackrel{\textit{taking }\sqrt{~~}\textit{ to both sides}}{\pm\sqrt{36}=\sqrt{n^2}}\implies \pm 6 = n[/tex]
PLEASE HELP!!!!!!!!!
Which of the following are properties of parallelograms? Select all that apply!
Consecutive angles are congruent.
One pair of parallel sides.
Consecutive angles are supplementary.
Both pairs of opposite sides are congruent.
Both pairs of opposite of angles are congruent.
Answer:
If I have to guess, I’ll say
Consecutive angles are congruent.
One pair of parallel sides.
Consecutive angles are supplementary.
Step-by-step explanation:
if I’m wrong, I’m sorry. If I’m right, mark me brainlest!
Answer:
Consecutive angles are supplementary.
Both pairs of opposite of angles are congruent.
Both pairs of opposite sides are congruent.
Step-by-step explanation:
I took the quiz and this was the correct answer.
Elizabeth buys a package of 360 marbles. she gives away 216 of the marbles. what percent of the marbles did Elizabeth give away. SHOW WORK
Answer:
60%
Step-by-step explanation:
216/360 = 0.6
0.6 *100 = 60
60%
The percent of the marbles did Elizabeth give away is 60%.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, Elizabeth buys a package of 360 marbles and she gives away 216 of the marbles.
Now, the percentage is 216/360 ×100
= 0.6×100
= 60%
Therefore, the percent of the marbles Elizabeth give away is 60%.
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how do I do this word problem?
Answer:
5 weeks
Step-by-step explanation:
John deposits $5 per week and has $10, so his equation is 5x + 10.
Jasmine's equation is 3x + 20.
Make them equal to each other and solve for x:
5x + 10 = 3x + 20
Subtract 10 from each side
5x = 3x + 10
Subtract 3x from each side
2x = 10
Divide each side by 2
x = 5
Answer:
5 weeks
Step-by-step explanation:
John:$10,$15,$20,$25,$30,$35
Jasmine:$20,$23,$26,$29,$32,$35
5 weeks
Helpppp for a math exammm
Answer:
2. angle A is congruent to angle X
Step-by-step explanation:
100 POINTS!!! Please solve this question step by step and explain each step for 100 points.
[tex]2\dfrac 29 = -\dfrac 45 m \\\\\implies 2+ \dfrac 29 =- \dfrac 45 m \\\\\implies \dfrac{20}9 = -\dfrac 45 m \\\\\implies 5(20) = (-4m)9\\\\\implies 100 = -36m\\\\\implies m = -\dfrac{100}{36} \\\\\implies m = -\dfrac{25}9\\\\\implies m=-2\dfrac 79[/tex]
Therefore, the answer is m = -25/9.
Hoped this helped.
[tex]-BrainaicUser1357-[/tex]
Q.
5! = ?
________________
Example :
4! = 4 × 3 × 2 × 1 = 24
Answer:
5!=5*4*3*2*1=120
Step-by-step explanation:
n!=(n)(n-1)(n-2)...(3)(2)(1)
5!=5×4×3×2×1
=20×3×2×1
=60×2×1
=120×1
=120
The ratio of the distances a driver and a 2-iron will drive a
golf ball is 5 to 4. If a golfer averages 240 yards with a 2-
iron, how far should she average with a driver?
The average distance is 300 yards
How to determine the average distance?The ratio is given as:
Driver : 2-iron = 5 : 4
When the iron driver is 240 yards, we have:
Driver : 240 = 5 : 4
Express as fraction
Driver/240 = 5/4
Multiply both sides by 240
Driver= 300
Hence, the average distance is 300 yards
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The hypotenuse of a 30°-60°-90° triangle is 18. Find the lengths of the other sides.
Answer:
9, 9√3
Step-by-step explanation:
The ratios of sides in a 30°-60°-90° triangle are ...
1 : √3 : 2
The shortest is half the longest. If the longest is 18, the others are 9, 9√3.
Henry and Jose are gaining weight for football. Henry weighs 205 pounds and is gaining 2 pounds per week Jose weighs 195 pounds and is gaining 3 pounds per week.
Write an equation to represent when the weights will be the same. Let w represent the number of weeks.
what would be the equation?
Answer:
205+2w=195+3w
Step-by-step explanation:
:)
The equation to represent when the weights are the same will be 3w + 195 = 2w + 205 and the number of weeks is 10.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Henry and Jose are putting on weight for football. Henry weighs 205 pounds and is acquiring 2 pounds each week Jose weighs 195 pounds and is acquiring 3 pounds each week.
Let 'w' be the number of weeks and 'y' be the total weight. Then the equations are given as,
y = 2w + 205
y = 3w + 195
If the weight becomes the same. Then the number of weeks is given as,
3w + 195 = 2w + 205
Simplify the equation, then we have
3w + 195 = 2w + 205
3w - 2w = 205 - 195
w = 10
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A savings account starts with $2,200. The total amount after 18 months was $2563. What is the annual interest
rate?
Answer:
11%
Step-by-step explanation:
In one phase of a cycling race, a cyclist has covered three fifths of the total distance. If
there are still thirty km left, what's the total distance of the race?
Step-by-step explanation:
3/5 are done, that means 2/5 are still to do.
that means these 30 km are these 2/5.
2/5 x = 30
2x = 150
x = 75
the total distance is 75 km.
Answer:
75 km
Step-by-step explanation:
2/5 = 30 km
→ Find 1/5
1/5 = 15 km
→ Now find 5/5 or 1
1 = 75 km
Morgan had 1/2 a box of candy left after the movie she ate 1/2 of that. On the way home and still had 8 pieces left. She give one to her Little brother. How many pieces of candy were in the box when Morgan bought it?
Answer:
16
Have a good day <3
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Answer:
wat?
Step-by-step explanation:
merry christmas....yey!!
5x + 3y = 41
2x + 3y = 20
show me step by steps how to do this
Answer:
x=7 and y=2
Step-by-step explanation:
In this case, you want to use elimination
1. multiply the second equation by -1
5x + 3y = 41
2x + 3y = 20
turns into
5x + 3y = 41
-2x + 3y = 20
2. combine the equations
3x=21
3. solve for x
3x=21
3x/3=21/3
x=7
4. Now you want to plug x back into the original equation
5x+3y=41
turns into
5(7)+3y=41
5. Then solve for y
35+3y=41
35+3y-35=41-35
3y=6
3y/3=6/3
y=2
6. results
x=7 and y=2
what does 5/6+1/3 equal
Answer:
5/6 + 1/3 = 7/6
Step-by-step explanation: