Answer:
the value of x is 10
Step-by-step explanation:
The new length is 35+10=45 and the new width is 18+10=28.
What is Area of Rectangle?Area of rectangle is length times of breadth.
Given that enclosure at the zoo is 35 feet long by 18 feet wide. It means length is 35 feet and width is 18 feet.
Area of Rectangle=Length × Width
=35×18
=630
The zoo wants to double the area of the enclosure by adding the same distance x to the length and width.
(35+x)×(18+x)=1260
630+35x+18x+x2=1260
x2+53x+630-1260=0
x2+53x-630
Now use the quadratic formula we get
x=10.
The new length is 35+10=45
The new width is 18+10=28.
Hence the new length is 35+10=45 and the new width is 18+10=28.
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Identify the coordinates of the vertices of each figure after the similarity transformation.
Answer:
After translation:
Translation: (x, y) → (x-6, y-8)
W'X'Y'Z' = W'(-10, 0), X'(-10, -8), Y'(-18, -4), Z'(-14, 8)
After dilation:
Dilation: (x, y) → (2x, 2y), centered at (0, 0)
W''X''Y''Z'' = W'' (-20, 0), X'' (-8, 0) , Y'' (-24, 8), Z'' (-16, 32)
Step-by-step explanation:
Given the vertices of the Quadrilateral WXYZ
W(-4, 8)X(-4, 0)Y(-12, 4)Z(-8, 16)As the rule of translation is given by
Translation: (x, y) → (x-6, y-8)
So, after the translation the vertices of Quadrilateral WXYZ will be translated as:
W(-4, 8) → (x-6, y-8) ⇒ (-4-6, 8-8) = W'(-10, 0)
X(-4, 0) → (x-6, y-8) ⇒ (-4-6, 0-8) = X'(-10, -8)
Y(-12, 4) → (x-6, y-8) ⇒ (-12-6, 4-8) = Y'(-18, -4)
Z(-8, 16) → (x-6, y-8) ⇒ (-8-6, 16-8) = Z'(-14, 8)
Therefore,
W'X'Y'Z' = W'(-10, 0), X'(-10, -8), Y'(-18, -4), Z'(-14, 8)
Next, the rule of dilation is given by
Dilation: (x, y) → (2x, 2y), centered at (0, 0)
W'(-10, 0) → (2x, 2y) ⇒ (2(-10), 2(0)) = W'' (-20, 0)
X'(-4, 0) → (2x, 2y) ⇒ (2(-4), 2(0)) = X'' (-8, 0)
Y'(-12, 4) → (2x, 2y) ⇒ (2(-12), 2(4)) = Y'' (-24, 8)
Z'(-8, 16) → (2x, 2y) ⇒ (2(-8), 2(16)) = Z'' (-16, 32)
Therefore,
W''X''Y''Z'' = W'' (-20, 0), X'' (-8, 0) , Y'' (-24, 8), Z'' (-16, 32)
Gerald inherited $35,000 from his uncle. He spends $1400 a month. After how many months
will Gerald have less than $2,000?
Answer:
18 months
Step-by-step explanation:
35,000÷18=1944
First, we need to figure out the amounts of months that Gerald has total, with all of the money. So, we divide 35000 by 1400, this leaves us with 25. So, if he keeps spending 1400 per month, it will last him 25 months, but this is not what the question asks, is it? In 25 months, his inheritance will be fully depleted, in 24 months he will have spent 33,600 dollars, meaning he will have 1400 dollars left (35000 - (24 * 1400))and in 23 months, he will have spent 32,200 dollars, meaning that he will have 2800 dollars.
"In 24 months he will have spent 33,600 dollars, meaning he will have 1400 dollars left 35000 - (24 * 1400)"
35000 - (24 * 1400)
24 months
find the missing exponent 7^(?)*(7^(5))^(4)=7^(34) place only the missing exponents value in the answer box
9514 1404 393
Answer:
14
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
__
(7^?)(7^5)^4 = 7^34
(7^?)(7^20) = 7^34 . . . . simplify power of power
7^(?+20) = 7^34 . . . . . . simplify product
? +20 = 34 . . . . . . . . . . equate exponents of the same base
? = 14
Answer: 14
Step-by-step explanation:
The length of each side of an equilateral triangle is increased by 5 inches, so the perimeter is now 60 inches. Write and solve an equation to find the original length of each side of the equilateral triangle.
Answer:
The original length of each side of the equilateral triangle = x =15 inches
Step-by-step explanation:
Let Original length of side of equilateral triangle = x
If it is increased by 5 inches, the length will become = x+5
Since in equilateral triangle all the ides have same length so,
New Length of side 1 = x+5
New of side 2 = x+5
New Length of side 3 = x+5
Perimeter of triangle = 60 inches
We need to find the value of x
The formula used is: [tex]Perimeter=Length \ of \ side \ 1 \ + Length \ of \ side \ 2 \ + Length \ of \ side \ 3[/tex]
Putting values in formula and finding x
[tex]Perimeter=Length \ of \ side \ 1 \ + Length \ of \ side \ 2 \ + Length \ of \ side \ 3\\60=x+5+x+5+x+5\\60=3x+15\\60-15=3x\\45=3x\\x=\frac{45}{3}\\x=15[/tex]
So, the original length of each side of the equilateral triangle = x =15 inches
What is this answer plz help
Answer:
y=-3/4
i think
Maisie bought a house.
The value of the house decreased by 10% in 2016.
For three consecutive years, 2017, 2018 and 2019 the value of the house
increased.
Each year the percentage increase in value was the same each time.
The value of the house at the end of 2019 was 55.52% more than he paid for
the house.
Calculate the percentage increase in value of the house for each of the three
consecutive years.
The percentage increase in the value of the house each of the three years is 11.49%.
What is the percentage increase in the value of the house?The equation that can be used to represent the percentage change in the value of the house is:
(100x - 10%) + 3x% = 55.52%
90% + 3x = 55.52%
90% - 55.52% = 3x
34,48% = 3x
x = 34.48/3
x = 11.49%
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Find the value of x.
I tried 40 but it told me it was incorrect.
Answer:
44
Step-by-step explanation:
90 - 43 = 47
x + 3 = 47
x = 47 - 3
= 44
I think the answer is 44. Pls check and correct me if I'm wrong.
i dont know how to answer this question can anyone help plzz?
Please help the best you can!!
Find the value of x that makes each parallelogram the given type (answer both please)
Answer:
a. x = 12
b. x = 4
Step-by-step explanation:
a. RECTANGLE
ABCD is a rectangle, AC and BD are its diagonals.
Diagonals of a rectangle are congruent.
Therefore,
AC = BD
10x + 8 = 9x + 20
10x - 9x = 20 - 8
x = 12
b. RHOMBUS
Diagonal of a rectangle bisect opposite angles.
Therefore,
(5x + 3)° = (2x + 15)°
5x + 3 = 2x + 15
5x - 2x = 15 - 3
3x = 12
x = 12/3
x = 4
The value of x for a rectangle will be 12.
The value of X for a rhombus is 4.
What is a parallelogram?A basic quadrilateral containing two sets of side lengths is known as a parallelogram. There are four types of parallelograms each with diffrent kinds of properties.
a. RECTANGLE
ABCD is a rectangle, Therfore the diagonals that are made will also be equal.
AC = BD
[tex]10x +8 = 9x + 20\\10x - 9x = 20 - 8[/tex]
x = 12
b. RHOMBUS
As this is a rhombus that is presented, the angle which is divided with the help of the diagonal will both be equal.
5x + 3 = 2x + 15
5x - 2x = 15 - 3
Simplifying the equation,
3x = 12
x = 12/3
x = 4
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you are drawing a map. two cities on the map are 7 inches apart. you know the actual distance between them is 1,750 miles. what is the scale factor for the map.
Hello betzy166817!
The correct answer is: 250 miles per inch.
You can multiply the number of inches on the map by 250 to find the number of miles.
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What is the equation in slope-intercept form of the line that crosses the x-axis at (36, 0) and is perpendicular to the line represented by y=−49x+5
Answer:
y = 1/49x
Step-by-step explanation:
perpendicular lines have slopes that are opposite reciprocals. the y intercept is the second number in the point given (x,y). so the y intercept is 0
Answer:
b
Step-by-step explanation:
I don’t understand please help!!!
Answer:
The answer
Step-by-step explanation:
Explanation
Rosa picked some peaches from one tree,
and then she picked 8 peaches from a
different tree.
She gave 10 peaches to Sten.
She has 12 peaches left.
How many peaches did Rosa pick from the
first tree?
Answer:
points
Step-by-step explanation:
PLEASE HELP (100 Points!!!)
Answer:
1. E)2. C)Step-by-step explanation:
1.
Step E)
The mistake is:
2x - 5 on the numeratorCorrect way is:
3 - (2x - 8) = 3 - 2x + 8 = 11 - 2x2.
Step C)
The mistake is:
5x = x² + 4Correct way is:
5x = (x+2)²5x = x² + 4x + 4Answer:
First picture the step E is incorrect because:
[tex]\frac{3}{(x+4)(x-4)} -\frac{2x-8}{(x+4)(x-4)}[/tex][tex]=\frac{-2x-5}{(x+4)(x-4)}[/tex]
Instead you should change the step E to be: [tex]\frac{-2x-5}{(x+4)(x-4)}[/tex]
Second picture the step C is incorrect because:
[tex](\sqrt{5x})^{2}[/tex] =[tex](x+2)^{2}[/tex]
[tex]5x = x^{2} +4x+4[/tex]
[tex]not[/tex] [tex]5x=x^{2} +4[/tex]
Instead you should change the step C to be: [tex]5x = x^{2} +4x+4[/tex]
Change step D to:
[tex]5x -x^{2} -4x -4=0[/tex]
Change step E to:
[tex]x^{2}-x+4=0[/tex]
Change step F to:
[tex]x=\frac{1+-\sqrt{1-16} }{2}[/tex]
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HOPE IT'S HELP U
IF IT'S WRONG I'M SORRY:3
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Answer:
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Answer:
3
Step-by-step explanation:
you have to do it then multiply by three
a symbol that stands for a quantity that can change or have any one of a set of values.
Answer:
Variable
Step-by-step explanation:
The graph below shows the numbers of cups of grape juice that are mixed with cups of lemon-lime soda to make servings of grape soda: A graph is shown. The values on the x-axis are 0, 1, 2, 3, 4, 5. The values on the y-axis are 0, 2, 4, 6, 8, 10. Points are shown on ordered pairs 0, 0 and 1, 2 and 2, 4 and 3, 6 and 4, 8. These points are connected by a line. The label on the x-axis is Lemon lime Soda in cups. The title on the y-axis is Grape Juice in cups. What is the ratio of the number of cups of grape juice to the number of cups of lemon-lime soda? (1 point) a 2:1 b 1:2 c 8:1 d 1:8
Answer:
2:1
Step-by-step explanation:
I took the test
Answer:
I would say 2:1 too because for the grape, 2 is the first number which is alligned with 1 on lemon-lime
hope this helps!
Step-by-step explanation:
katie has 4 grapes candies and 3 cherries candies. The ratio of the number of grapes candies to the total number of candie is
Answer: 7 I think its adding but if its multiplying it is 12
Step-by-step explanation:
Answer:
4:3
Step-by-step explanation:
Hope this helps
. Solve the equation. -3/4 (x - 3) - 5 = 1/8 (x - 1) *
[tex] \frac{ - 3}{4} (x - 3) - 5 = \frac{1}{8} (x - 1)[/tex]
[tex] \frac{ - 3}{4} x + \frac{9}{4} - 5 = \frac{1}{8} x - \frac{1}{8} [/tex]
[tex] \frac{ - 3}{4} x - \frac{1}{8} x = - \frac{1}{8} - \frac{9}{4} + 5[/tex]
[tex] \frac{ - 6x}{8} - \frac{x}{8} = \frac{ - 1}{8} - \frac{18}{8} + \frac{40}{8} [/tex]
[tex] \frac{ - 6x - x}{8} = \frac{ - 1 - 18 + 40}{8} [/tex]
[tex] \frac{ - 7x}{8} = \frac{21}{8} [/tex]
[tex] - 7x = 21[/tex]
[tex]x = \frac{21}{ - 7} [/tex]
[tex]x = - 3[/tex]
what do we know?
what do we need to know ?
Answer:
we need to know how many students got a B or higher by those 25 students
Step-by-step explanation:
easy question... if someone starts with 100$ and adds 50 each week, how much will they have after 1 year
Answer:
They would have about $2500 after one year
Step-by-step explanation:
find x and y
2x+4y=8
x=3y-
Answer:
If the "-" after "3y" is a typo, then y = 8/7, x = 24/7
Step-by-step explanation:
whats (14-7) multiplied by (40-32) plz gib right answer!
Answer:
56
Step-by-step explanation:
(14-7) x (40-32) = 7 x 8
= 56
Hope you understood :)
What is the number in standard form?
Answer:
D-87,100,000
Step-by-step explanation:
Move the decimal point from its position to the right 7 times because of the 7 indicated as the power.
Please mark as brainliest
Graph the intercept.
What are points?
Answer:
start at 0 and go up 3 and put a point (your x)
start at 0 and also go up 5 and put a point (your y)
draw LINE HORIZONALY ACROSS THE (LEFT TO RIGHT ) on each line
you should have two horizonal lines parallel
Step-by-step explanation:
what is the slope and y-intecept in y=3/2x+3.
Answer: its a positive slope
answer:
Step-by-step explanation:
but i dont know the y-intercept tho
The value of 7 in 7.825 is 10 times 1 time or 1/10 times the value of 7 in 3.7
Answer:
It is ten times the value of the seven in 7.835
Step-by-step explanation:
7.825 x 1/10 = .7825
3.7 x 10 = 37
The seven shifted to the right in place value.
I hope this helps.
Answer:
10 times
Step-by-step explanation:
7 divided 0.7=10
The regular price of a dress is $80. The price
has been marked up by 23%. What is the
amount of markup?
[A] $18.40
[B] $57.00
[C] $23.00
[D] $61.60
Answer:
A
Step-by-step explanation:
Please answer ASAP!!!
Answer:
The second one, I believe.
Step-by-step explanation: