Answer:
length= 1115 inches
width= 545 inches
Step-by-step explanation:
The perimeter of the rectangular rug is the sum of the lengths of all its sides.
Start by defining the variables that we are going to use throughout our working.
Let the length and the width of the rug be L and W inches respectively.
Perimeter= 2(L +W)
Given that the length is 25 inches more than twice the width,
L= 2W +25 -----(1)
3320= 2(2W +25 +W)
Divide both sides by 2:
1660= 2W +W +25
1660= 3W +25
3W= 1660 -25
3W= 1635
Divide both sides by 3:
W= 1635 ÷3
W= 545
Substitute W= 545 into (1):
L= 2(545) +25
L= 1115
Thus, the length and width of the rug is 1115 and 545 inches respectively.
5. The graph of each function contains the given point. Find the value of 'c'.
y = -5x2 + c (2,-14)
A bag of chocolates is labeled to contain 0.384 pounds of chocolates. The actual weight of the chocolates is 0.3798 pounds. Are the chocolates heavier or lighter than the weight stated on the label?
Based on the information given the chocolates stated on the label is 0.0042-ounce lighter.
Weight:
Using this formula
Chocolate weight=Current weight-Actual weight
Where:
Current weight=0.384
Actual weight=0.3798
Let plug in the formula
Chocolate weight=0.384-0.3798
Chocolate weight=0.0042 ounce
In conclusion, the chocolates stated on the label are 0.0042-ounce lighter.
Please solve with explanation high points
Answer:
a. -2x^2 + 3x+5=y
b.-x^2 +5x-4=y
c.-x^2 +6x-12=y
Step-by-step explanation:
a.y=-2x^2 +bx+c
the points P and Q lie on curve
[tex]\left \{ {{-b+c=2} \atop {b+c=8}} \right.[/tex]
=> b=3, c=5
b. delta = b^2 +4c
x1= [tex]\frac{-b+\sqrt{b^{2}+4c } }{-2}[/tex] =4
=> [tex]b-\sqrt{4c+b^{2} }[/tex]=8
x2=[tex]\frac{-b-\sqrt{b^{2}+4c } }{-2}[/tex]=1
=>2=b+[tex]\sqrt{b^{2}+4c }[/tex]
suppose : [tex]\sqrt{b^{2}+4c }[/tex] = a
=> [tex]\left \{ {{a+b=2} \atop {-a+b=8}} \right.[/tex]
=> a=-3
b=5
a=-3 => [tex]\sqrt{b^{2}+4c }[/tex] =-3 => b^2 +4c =9 =>5^2 +4c=9 => c=-4.
c.vertex (3;-3)
[tex]\frac{-b}{-2}[/tex]=3 => b =6
[tex]\frac{-D}{4a}[/tex]=[tex]\frac{-b^{2}+4ac}{-4}[/tex] =-3 =>-b^2+4ac=12 => c=-12.
in what rate of interest rupees 4000 amounts to Rupees 6000 in 2 years
Answer:
Ans:25%
Step-by-step explanation:
In what rate of interest Rs 4000 amounts to Rs 6000 in 2 years? Ans:25%
Which of the binomials below is a factor of this expression?
121A^2 - 64B^2
A. 121A + 8B
B. 11A + 8B
C. 121A + 32B
D. 11A + 32B
Answer: 11A+8B
Step-by-step explanation:
3 1/6 + 8 2/9 - 1 1/2 =?
Answer:
9 8/9
Step-by-step explanation:
Which of these describes an angle?
Extends in both directions with no end
The amount of turn between two straight lines that have a common endpoint, or vertex
A part of a line that connects two endpoints
Has a start point but no endpoint
What is the slope-intercept equation for this line?
y = [?]x+ [?]
Answer:
y= -x-3
Step-by-step explanation:
A Web music store offers two versions of a popular song. The size of the standard version is 2.3 megabytes (MB). The size of the high-quality version is 4.5 MB. Yesterday, the high-quality version was downloaded twice as often as the standard version. The total size downloaded for the two versions was 2938 MB. How many downloads of the standard version were there?
Answer:
260
Step-by-step explanation:
The relationship between the number of standard versions and the total download can be written as ...
2.3n +4.5(2n) = 2938 . . . . . twice as many high-quality songs (2n)
11.3n = 2938 . . . . . . . . . simplify
n = 2938/11.3 = 260 . . . divide by the coefficient of n
There were 260 downloads of the standard version.
The answer to this math question is?
Answer:
58 seconds
Step-by-step explanation:
Very very easy, no formulas or +,- required here.
You can see that the swim times go till 44 on the line, that is the lowest, that means the FASTEST swim time. But we need the slowest swim time. That we can find by finding where does the line end in the right side. We can see it ends between 56 and 60, and if we calculate, then we can find out that the bar in the middle represents 58, so hence, her slowest timing for her swim time is 58 seconds.
So hence, your answer is 58 seconds!
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If you see someone without a smile, give them one of yours!
Thanks!
~MiniMeteorologist~
Have a great day!
:D
Justin runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?
miles
Answer:
2.8 Miles
Step-by-step explanation:
If 7m is 60mins
How many miles is 24 mins
solution:
take unknown miles to be 'x'
7m=60mins
Xm=24mins
cross multiply
7×24/60=2.8m
x=2.8miles
Yolanda cut 2 2/3 yards of fishing line from a new reel. How much is this in inches?
Answer:
1 yard = 3 feet: 3.25 yards x 3 feet per yard = 9.75 feet. 1 foot = 12 inches: 9.75 feet x 12 inches per foot = 117 inches.
Step-by-step explanation:
1 yard = 3 feet: 3.25 yards x 3 feet per yard = 9.75 feet. 1 foot = 12 inches: 9.75 feet x 12 inches per foot = 117 inches.
Choose the multiplication problem that correctly shows partial products.
A) A
B) B
C) C
Answer:
B
Step-by-step explanation:
62x4=248
4x2=8
6x4=24 and carry the 0 and get 240
240+8=248 and you get B
Width:____feet
Height_____feet
Step-by-step explanation:
Let w = width and h = height. Then we have
w = 3*h - 17
and
4*w + h = 30 (4 shelves and 1 sides).
Plug in the first equation into the second and solve for h:
4*(3*h - 12) + h = 30
12*h - 48 + h = 30
13*h = 78
h = 78/13
h = 6
Plug that in the first equation to find w = 3*6 - 17 = 1
So width = 1 feet.
height = 6 feet
find the average of the following numbers -34 and -37
Answer:
35.5 is the average of 34 and 37
Step-by-step explanation:
Answer:
-35.5
Step-by-step explanation:
-34 + -37 = -71
-71/2 = -35.5
I hope this helps!
How can i find the answer to this question: simplify (7^5)^3
Answer:
Option D
Step-by-step explanation:
Given the following question:
[tex](7^5)^3[/tex]
To find the answer we simply have to apply the exponent rule and multiply the exponents.
[tex](7^5)^3[/tex]
[tex](a^b)^c=a^{bc}[/tex]
[tex]5\times3=15[/tex]
[tex]=7^{15}[/tex]
Your answer is "7^15" or option D.
Hope this helps.
Answer:
7^15
Step-by-step explanation:
We know that a^b^c = a^(b*c)
7^5^3
7^(5*3)
7^15
Remington is installing a fence around his
rectangular yard. His yard is 20 feet long
by 45 feet wide. If the fencing he picked
out costs $25 per foot, how much money
will be spent on the fence?
Answer:
$3,250
Step-by-step explanation:
Find the perimeter of the yard ( the distance around the yard).
A rectangle has two sides of each dimension.
The perimeter is 20 + 20 + 45 + 45 = 130 feet.
Now multiply the total feet by the cost per foot:
130 feet x 25 per foot = $3,250 total.
Cassie has 10 1/2 feet of string to make 15 beaded bracelets. She needs 9 inches of string for each bracelet. Does she have enough string to make all the bracelets? Explain. (1 foot = 12 inches)
Answer:
unfortunately one person will be without a bracelet
Find the area of the shaded polygons
NEED ASAP PLEASE!! THANK YOU
Answer:
168
Step-by-step explanation:
area of a trapezoid is
((a+b)/2)*h
((8+16)/2)*14
12*14 =
168
a right triangle with a long leg (x+7) and a short leg with (x) and the hypothenuse is 13
Answer:
Area is 30cm^2 if thats what your asking
Step-by-step explanation:
Answer:
X = 5
Step-by-step explanation:
You need to use the Pythagorean theory to solve this question.
[tex] {13}^{2} = {x}^{2} + {(x + 7)}^{2} [/tex]
[tex]169 = {x}^{2} + ( {x}^{2} + 14x + 49)[/tex]
[tex]169 = 2 {x}^{2} + 14x + 49[/tex]
[tex]0 = 2 {x}^{2} + 14x + 49 - 169[/tex]
[tex]0 = 2 {x}^{2} + 14x - 120[/tex]
Now simply the equation by dividing everything by 2.
[tex]0 = {x}^{2} + 7x - 60[/tex]
[tex]0 = (x - 5)(x + 12)[/tex]
Now, you can find the possible solutions by setting each bracket to 0.
[tex]0 = x - 5[/tex]
[tex]5 = x[/tex]
OR
[tex]0 = x + 12[/tex]
[tex] - 12 = x[/tex]
However, a measurement on a triangle cannot be negative. Therefore, we can ignore -12 and say that the answer is x = 5.
Divide.
4^2.4^6
O 4-3
O 4^3
O 4-4
O 4^4
The answer is C, 4^4
Step-by-step explanation:
no, the answer is definitely NOT 4⁴.
4² is smaller than 4⁶, right ?
so, 4²/4⁶ must be smaller than 1.
remember, what we do with exponents when we multiply terms ? we add the exponents.
like 4²×4⁶ = 4⁸
and when we divide terms ? we subtract the exponents.
4²/4⁶ =
[tex] {4}^{ - 4} [/tex]
because 2 - 6 = -4
Use the graph of triangle JKL to answer A and B
a. Reflect JKL over the x-axis. Record the coordinates of
the original and new image below.
b. Describe what happened to the x and y coordinates
once they were reflected.
2 Use the coordinates of triangle QRS to answer a-b.
Answer:
a) J':(-7,7) K':(-5,2) L':(-2,3)
b) The x coordinates remained the same, the y coordinates swapped from negative to positive.
Step-by-step explanation:
Aside: I'm using J', K', and L' to denote the new locations of J,K,L after the reflection.
When an object is reflected over the x-axis, it means it's positive points will flip to negative y space, and negative points will flip to positive y space.
That said, J, for instance, will have the same X-coordinate, but its Y-coordinate will flip from negative to positive. Doing this with every vertex mirrors the triangle over the X-axis.
Therefore, J:(-7,-7) will become J':(-7,7), and likewise with K and L becoming K':(-5,2) and L':(-2,3).
Answer:
Step-by-step explanation:
what value makes 3k– 6 < 12 true?
Answer: Any number smaller than 6
3k - 6 < 12
(Add six to both sides)
= 3k < 18
(Divide by 3 on both sides)
= k < 6
Also a side note that may be helpful in other similar problems: If you are dividing or multiplying by a negative number you have to flip the inequality sign.
Carly is in charge of bringing juice for the class party. Her class has 24 students and 1 teacher. She estimates that each person will drink 400 milliliters of juice. To make sure she has enough, she also wants to bring an extra liter of juice. How many liters of juice should Carly bring in all?
Answer:
10,000
Step-by-step explanation:
if it's including the teacher then it should be 10,000
What happens to the coordinates of a shape when the shape reflects about the x-axis? What happens to the
coordinates when the shape reflects about the y-axls? Explain.
Hey there!
Here's what happens to the coordinates of a point when it's reflected around the x-axis:
(x, y) --> (x, -y) or (x, -y) --> (x, y)
So the point's x-coordinate hasn't changed.
Here's what happens to the coordinates of a point when it's reflected around the y-axis:
(x, y)--> (-x, y) or (-x, y) --> (x, y)
So the point's y-coordinate hasn't changed.
Hope everything is clear.
Let me know if you have any questions!
Always remember: Knowledge is power!
What is the slope of the line defined by the equation y = 5x + 3?
A) 3/5
B) 5/3
C) 3
D) 5
Answer:
D) 5
Step-by-step explanation:
5 is the rise. x or 1 is the run. (0,3) is the start location.
BCD and EFG are shown below. Which of the following statements is true? Look at picture.
Answer:
(b) ∠EGF ≅ ∠BDC
Step-by-step explanation:
Angles D and G are both marked with double arcs, indicating they are congruent:
∠EGF ≅ ∠BDC
__
Other choices:
BD is the short segment between the marked angles. It has no "decoration." EF is the longer segment with a single hash mark decoration. These are not corresponding parts, so are not congruent. There is no right angle in these triangles, so the Pythagorean theorem is not applicable.
__
CD is the longest side, with no decoration. EF is the middle-length side with a single hash mark decoration. These are not corresponding sides.
Answer:
I don't know I'm sorry soo just try to work it out if u don't know how than ask someone you know okay, ur welcome.
i need help with this problem
Answer:
Disagree
Step-by-step explanation:
because it looks like less than 45
Alexandra deposited $1,000 in
a savings account
Her
savings account pays 3.5% simple
interest. How much interest will the
account earn in 5 years?
My answers are
A. 35.00
B. 145.00
C . 175.00
D . Not here
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$1000\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ t=years\dotfill &5 \end{cases} \\\\\\ I = (1000)(0.035)(5)\implies I=175[/tex]
I don’t really know how to do this , can someone help?
Answer:
A 67 inches is the correct answer
[tex]\text{Given that,}\\\\\text{Area of the rectangle,}~ A = 344 ~ in^2\\\\\text{Width of the rectangle,}~w = 16 ~ in\\\\\text{Length of the rectangle,}~ l=?\\\\~~~~~~A = l \times w \\\\\implies l= \dfrac{A}w =\dfrac{344}{16}=21.5 ~in\\\\\text{Perimeter of the rectangle} = 2(l+w) = 2(21.5+16)=75~ in[/tex]