Answer:
x2 - x - 12 = 0
Step-by-step explanation:
(x - 4) (x + 3) = 0
x(x + 3) -4(x + 3) = 0
x2 + 3x -4x - 12 = 0
x2 -x -12 = 0
Millie has a rectangular pen for her dog that measures 10 ft wide by 12 ft long. She wants to increase the area to 168 ft by increasing
the width and length by the same amount, X.
Which equation can be used to find x?
Answer:
Increasing both by the same amount of 2
Step-by-step explanation:
10 times 12=120,
and 11 times 13=143,
but 12 times 14 =168
An equation is formed of two equal expressions. The equation that can be used to find the value of x is x²+22x-168=0.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that Millie has a rectangular pen for her dog that measures 10 ft wide by 12 ft long. Now, she needs to increase the area by 168 ft, that too by increasing the width and length by the same amount. Therefore, the equation can be written as,
[tex](10+x) \times (12+x) = (10 \times 12) + 168\\\\120 + 10x+ 12x +x ^2 = 120+168\\\\120 + 22x+x^2=120+168\\\\x^2+22x-168 = 0[/tex]
Hence, the equation that can be used to find the value of x is x²+22x-168=0.
Learn more about Equation:
https://brainly.com/question/2263981
#SPJ2
What is the value of x in the figure? Enter your answer in the box.
Answer:
x = 65
Step-by-step explanation:
2x + 15 and 145 are vertical angles and congruent, thus
2x + 15 = 145 ( subtract 15 from both sides )
2x = 130 ( divide both sides by 2 )
x = 65
Answer:65
Step-by-step explanation:
2x+15=145. Because opposite angles are equal
2x+15=145
Collect like terms
2x=145-15
2x=130
Divide both sides by 2
2x/2=130/2
x=65
A population is growing continuously at a rate of 5%. If the population is now 3400, what will it be in 17 years? Round to the nearest thousand.
Answer:
In 17 years time, the initial population of 3400, and growing at a rate of 5% will be ≈ 7792
Step-by-step explanation:
Here we have that the formula for population presented as follows;
[tex]A = P(1+r)^t[/tex]
Where:
A = Population after growth
P = Original population = 3400
r = 5% = 0.05
t = Time = 17 years
Population growing at a rate of 5% is thus given by the plugging in the above values into the population growth formula thus;
[tex]A = 3400 \times (1+0.05)^{17} = 7792.86[/tex]
Since we are presenting data relating to number of people, we round alwys down as the statistics should represent the number of whole people on ground.
Therefore, in 17 years time, the initial population of 3400, and growing at a rate of 5% will be ≈ 7792.
Answer:
Step-by-step explanation:
The growth rate is exponential. We would apply the formula for exponential growth which is expressed as
y = b(1 + r)^ t
Where
y represents the population after t years.
t represents the number of years.
b represents the initial population.
r represents rate of growth.
From the information given,
b = 3400
r = 5% = 5/100 = 0.05
t = 17 years
Therefore
y = 3400(1 + 0.05)^17
y = 3400(1.05)^17
y = 3400 × 2.2920183178
y = 7800 to the nearest thousand
What is the value of |–2|?
A- 1
B- –2
C- 0
D- 2
Answer:
D) 2
Step-by-step explanation:
Absolute values are never negative, so B is wrong. Absolute value is the distance from zero, in this case, 2.
In triangle XYZ, the length of side XY is 30 mm and the length of side YZ is 43 mm. Which of the following could be the length of side XZ?
A. 75 mm
B. 53 mm
C. 78 mm
D. 11 mm
Caelan has $7,500 in an account that earns 3.2% interest compounded annually. If she doesn't touch the money, how much will it be worth after 5 years?
Answer:
It'll be worth approximately $8779.3 after 5 years.
Step-by-step explanation:
Since it's compounded we need to use the appropriate formula to solve this problem, which is shown below:
M = C*(1 + r)^t
Where M is the final amount, r is the interest rate and t is the time elapsed in years. Applying the data from the problem we have:
M = 7500*(1 + 0.032)^5
M = 7500*(1.032)^5
M = 8779.2971
It'll be worth approximately $8779.3 after 5 years.
A flagpole casts a shadow that is 25 feet long. A signpost near the flagpole is 3 feet tall, and it casts a shadow that is 5 feet long. How tall is the flagpole?
Answer:
The ratio of shadow should be kept, then we have: x/25 = 3/5
=> x = 25 x 3/5 = 15
=> The flagpole is tall 15 feet
Hope this helps!
:)
Answer:
15 feet
Step-by-step explanation:
Length : shadow
3 : 5
X : 25
X/25 = 3/5
X = 25 × 3/5
X = 15
a reflection over the x-axis and y-axis produces the same result as what other transformation?
Answer:
A mirror
Step-by-step explanation:
thats all
10) A spinner has an equal chance of landing
on each of its four numbered regions. You
spin twice. The first spin lands in region
one and the second spin lands in region
one.
Are the events independent or dependent?
What is the probability?
Answer:
independent and 1/16
Step-by-step explanation:
independent because you are not getting it you are just spinning.
1/4 times 1/4
i may be wrong on this
Solve for x. Describe the steps taken to find the solution.
3( 4x - 3) + 8 = 2x + 10x -1
Answer:
see below
Step-by-step explanation:
3( 4x - 3) + 8 = 2x + 10x -1
Distribute
12x - 9 +8 = 2x+10x -1
Combine like terms
12x - 1 = 12x - 1
Subtract 12x from each side
12x - 1 -12x = 12x - 1-12x
-1 = -1
This is true for all values of x
x = all real numbers
Answer:
All real numbers are solutions.
Step-by-step explanation:
3 ( 4x - 3 ) +8 = 2x + 10x - 1 Example 1:
12x - 9 + 8 = 12x - 1 3 ((4*1) -3) + 8 = (2*1) + (10*1) - 1
- 12x = -12x 3 ((4) - 3) + 8 = (2) + (10) - 1
-9 + 8 = -1 ( 12 - 9 ) + 8 = 12 - 1
-1 = -1 3 + 8 = 12 - 1
Example 2 11 = 11
3 ((4*6) - 3) + 8 = (2*6) + (10*6) - 1
3 ((24) - 3) + 8 = (12) + (60) - 1
72 - 9 + 8 = 72 - 1
72 - 1 = 72 - 1
71 = 71
Which is the largest amount of liquid? A. one quart
B. one cup
c. one milliliter
D. one liter
E. one pint
Answer:
one pint
Step-by-step explanation:
This is because one pint is larger than one cup, there are two cups in a pint.
One milliliter is way smaller than one liter and there are 0.473176473 liters in a pint.
Answer:
pint
Step-by-step explanation:
1 Pint is equal to 0.47317647299 liter.
Liter and Pint are the largest on there, and pint is bigger.
Hope this helps! :)
Help pleaseeeeeeeeeeeeee
Theoretically, on a number cube, each side has an equal chance. There are 6 sides, and 2 is one of the sides, so then you subtract 1/6, which would leave you with 5/6.
D. 5/6
WIll give brainliest help!!!
Answer:
d
Step-by-step explanation:
Answer:
C. 35
Step-by-step explanation:
7/40=x/200
200/40 x 7=35
How many smiley faces should Shawn draw next to Patrick's name?
A)
1
B)
2
C)
4
D)
8
A land bridge from Asia to the Americas was made possible by which of the following?
A) archaeologists
B) the development of stone tools
C) last Ice Age
D) prehistoric people
Answer:
C, Last Ice Age
Step-by-step explanation:
A land bridge wouldn't be developed by humans. The only reasonable explanation would be the last Ice Age
A land bridge from Asia to the Americas was made possible by the last Ice Age. So, the correct answer is C.
What is Land Bridge?A land bridge is an isthmus or wider land connection between otherwise separate areas, over which animals and plants are able to cross and colonize new lands.
A land bridge from Asia to the Americas was made possible by the last Ice Age.
During the last Ice Age, much of the Earth's water was locked up in glaciers, causing sea levels to drop and exposing a land bridge between Asia and North America.
This allowed prehistoric people to migrate from Asia to the Americas, a journey that would not have been possible without the land bridge created by the last Ice Age.
Hence, A land bridge from Asia to the Americas was made possible by the last Ice Age. So, the correct answer is C.
To learn more on Land Bridge click:
https://brainly.com/question/17471924
#SPJ6
Will Give Brainliest!!!! On Time Limit Hurry Please Wrong answer will be deleted!!
Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation? (negative 5 minus StartRoot 34 EndRoot comma negative 5 + Startroot 34 EndRoot) (negative 5 minus StartRoot 29 EndRoot comma negative 5 + StartRoot 29 EndRoot) {–12, 2} {–2, 12}
Answer:
x = - 12, x = 2
Step-by-step explanation:
Given
x² + 10x = 24
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(5)x + 25 = 24 + 25
(x + 5)² = 49 ( take the square root of both sides )
x + 5 = ± = ± 7 ( subtract 5 from both sides )
HOPE THIS HELPS
Answer:
x = 2 , − 12
Step-by-step explanation:
Use the formula ( b /2 ) (^)2 in order to create a new term. Solve for x by using this term to complete the square.
Please send help I really need your help
Answer:
#4: 4 hits
Step-by-step explanation:
At first, you are given the ratio 1/37 which you can scale to 148 by dividing and multiplying both by. So you divide 148/37 to reach 4 and then multiply 4 by 1 to find out that about four hits will prbably be made.
Answer:
the answer for number four is four and number five is 39
I am not sure about number 5 plz check somebody.
Step-by-step explanation:
Help please giving brainlest really need help and thanks
Karen has a coupon for $1.52 off any
candy related item. She decides to buy
a package of 9 chocolate bars that
normally costs $10.25. If Karen uses
her coupon, what will the price per
chocolate bar be?
—
Enter
Answer:
$8.73 per package of candy bars
Step-by-step explanation:
10.25 - 1.52=
pls help pls its hard ....
Answer:
(1,5)
Step-by-step explanation:
plug in the x and y values to see if they are equal in the equation. If not, then you know the answer is wrong.
Answer: if you need help ask
Step-by-step explanation:
First you start by finding a problem
Next you ask someone to help you with the problem, simple :)
Tasha hands out 5 note cards to each student in the class. She hands out all of the 145 note cards contained in the package. How many students are in the class?
Answer:
145/5
Step-by-step explanation:
5 to a student and 145 to everyone
145/5=29
29 is your answer
Hope this Helps
There are 29 students in the class.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Tasha hands out 5 note cards to each student in the class.
And, She hands out all of the 145 note cards contained in the package.
Here, 145 note cards contained in the package.
And, Tasha hands out 5 note cards to each student in the class.
Hence, Number of students = 145 / 5
= 29
Learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ5
Find the Surface Area of the Square Pyramid
Step 1:
Step 2:
Step 3:
Step 4: *
(20 Points)
Step-by-step explanation:
Step 1: Set up the formula for the surface area of a regular pyramid.
SA = [tex]\frac{p*h}{2} + B[/tex]
where :
SA equals the total surface area of the pyramid, p equals the perimeter of the base, h equals the slant height of the pyramidB equals the area of the base.Step 2: Plug the perimeter of the base into the formula
you can calculate the perimeter by multiplying the length of one edge by the number of edges.
Step 3: plug the value of the slant height into the formula (it is not the perpendicular height)
Step 4: find the area of the base (depend on the shape of the base)
Hope it will find you well.
Please answer quickly!
Answer:
D.
t <= 4.
Step-by-step explanation:
15 + 3/2 t <= 21
3/2 t <= 6
t <= 6 * 2/3
t <= 4.
Solve the following system of equations.
x-2y = 10
y = -6x +34
I have 9 more questions so please answer all
I have 9 more please answer all
Answer:
x = 6, y = -2
Step-by-step explanation:
x-2y = 10
y = -6x +34
Substitute the second equation into the first for y
x - 2(-6x+34) = 10
Distribute
x +12x - 68 = 10
Combine like terms
13x -68 = 10
Add 68 to each side
13x - 68+68 = 10+68
13x = 78
Divide each side by 13
13x/13 = 78/13
x = 6
Now find y
y = -6x+34
y = -6(6)+34
y = -36+34
=-2
Answer:
x = 6 y = -2
Step-by-step explanation:
x-2y = 10
x = 10 + 2y
y = -6x +34
y = -6(10 + 2y) + 34
y = -60 - 12y + 34
13y = -26
y = -2
x = 10 + 2(-2)
x = 10 - 4
x = 6
hi does anyone know the answer
Answer:
153.938040026...
Step-by-step explanation:
Remember Apple Pies R 2
A=π*r²
Remember Cherry Pie Delicious
C=π*d
Answer:
Area = 49 π cm²
Step-by-step explanation:
Radius = Diameter / 2 = 14 / 2 = 7 cm
Area = π r ²
Area = π (7)²
Area = 49 π cm²
What is 25 percent of 48?
Answer:
12
Step-by-step explanation:
Divide 48 into 4 parts
Answer:
(25:100)*48=
(25*48):100=
1200:100=12
Answer=12
answer with work pls !!
Last week, Ms. Herald walked 1.6 miles for 3 nights last week. She walked an
additional 3.1 miles on Saturday. How many miles did she walk last week? *
Your answer
Send me a copy of my responses.
Submit
Answer:
1.6 + 1.6 + 1.6 + 3.1 = 7.9 miles walked
There are 8 carrots. Four friends take 2 carrots each. What fraction of the carrots
does each friend take?
Type the answer in the boxes.
Answer:
1/4
Step-by-step explanation:
8 divided by 2= 0.25=1/4
The fraction of the carrots that each friend takes will be 1/4 part.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
There are 8 carrots. Four companions take 2 carrots each.
The fraction of the carrots that each friend takes will be given as,
⇒ 2/8
Simplify the fraction, then we have
⇒ 2/8
⇒ 1/4
The small portion of the carrots that every companion takes will be 1/4 section.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
What is the common ratio of the sequence -2, 6, -18, 54,..
Answer:
-3
Step-by-step explanation:
To find the common ratio
Take the second term and divide by the first
6/-2 = -3
Check by taking the third term and dividing by the second
-18/6 = -3
And the fourth and dividing by the third
64/-18 = -3
The common ratio is -3
Answer:
-3
Step-by-step explanation:
-2(-3)=6
6(-3)=-18
etc...
