Answer:
8.40665 Step-by-step explanation:
The area of a rectangle is 52 in^2. If the length is 9 inches more than the width, find the
dimensions of the rectangle.
Answer:
width=4in.
length=13in
Step-by-step explanation:
let the width of the rectangle be x
then the length will be x+9
Area= length×width
52= (x+9)x
52= x²+9x
x²+9x-52=0
x²+13x-4x-52=0
x(x+13) - 4(x+13)= 0
(x-4)(x+13)=0
x=4 or -13
dimension cannot be negative
hence x=4in
the width is 4in. and the length is 4+9=13in.
The solution is, width=4in.
length=13in
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
The area of a rectangle is 52 in^2.
If the length is 9 inches more than the width.
let the width of the rectangle be x
then the length will be x+9
Area= length×width
so, we have,
52= (x+9)x
52= x²+9x
x²+9x-52=0
x²+13x-4x-52=0
x(x+13) - 4(x+13)= 0
(x-4)(x+13)=0
x=4 or -13
dimension cannot be negative
hence x=4in
so, we get,
the width is 4in. and the length is 4+9=13in.
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enter an algebraic expression for the word expression.
The quotient of -4 and y
Hey there!
Guide to follow
“Difference” means subtract
“Is” means equal to
“Product” means multiply
“Quotient” means divide
“Sum” means add
Answering your question….
“The [QUOTIENT] of [-4] and [y]
Remember we said “quotient” means divide
So we’re dividing -4 from y and that will be your answer.
Answer
-4 ÷ y
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
the ratio to boys to girls in sixth grade is 5:3 if their are 400 sixth graders how many boys are their
Answer:
250 boys
Step-by-step explanation:
sum the parts of the ratio, 5 + 3 = 8 parts
Divide the total by 8 to find the value of 1 part of the ratio
400 ÷ 8 = 50 , then
number of boys = 5 × 50 = 250
Answer : There is 250 boys in the sixth grade
Step - by - step explanation :
400 / [ 5 + 3 ] = 400 / 8 = 50
50 x 5 <-- The ratio of boys = 250
Explain why the square root of a number is defined to be equal to that number to the 1/2 power
Answer:
Because square root is essentially the same thing as the power to a half
sqrt(x) is the same as (x)^1/2
Justin took 55 minutes to get to school and his best friend Dwayne took 3/4 hours. How much time did they take to get to school altogether?
Answer:
100 mins or 1⅔ hrs
Step-by-step explanation:
¾ hr = ¾ × 60 mins
¾ hr = 45 mins
55 + 45 = 100
100 mins = 100 × hr/60
100 mins = 1⅔ hrs
Answer:
100 mins or 1⅔ hrs
Step-by-step explanation:
¾ hr = ¾ × 60 mins
¾ hr = 45 mins
55 + 45 = 100
100 mins = 100 × hr/60
100 mins = 1⅔ hrs
So it took them 1 2/3 hrs to get to school
Please help me solve this problem ASAP
Answer:
∠ = 130°
Step-by-step explanation:
They are vertical angles: a pair of opposite angles formed by intersecting lines. These two angles are considered congruent, which means they have exactly the same measure. So, you simply solve for x when they equal each other. Remember, both angles share the same measurement.
15x -5 = 13x + 13
5 + 15x - 5 = 13x + 13 + 5
13x - 15x = 13x + 18 - 13x
2 ÷ 2x = 18 ÷ 2
x = 9
Now you must put 9 in for x to solve the measurement of the angles.
15 (9) - 5 = 130°
13(9) + 13 = 130°
Both angles equal 130°, so you know you've done the math correctly.
jack has $37 and saves $6.50 per week diane has $9 and saves $8.25 per week write and solve an equation to find out how many weeks it would take for jack and diane to have saved the same amount of money
What is the equation of the line that passes through the points (-4, 2) and (-2, 10)?
Answer:
y=4x+18
Step-by-step explanation:
HOPE THIS HELPS :)
Can someone please help me with 54? It’s the last one and it’s due in 1 hour Tysm if you do!!
Answer:
4
Step-by-step explanation:
Well 3 x 4 equals 12, 12 x 4 equals 48, and so on.
hope this helps!
4 more to go-2 + (-2) × -2 + (-2) ÷ -2
Let's se
-2+(-2)(-2)+(-2)/(-2)-2+(-2)^2+1-1+21Done!
if x is reduced by 25%. the result will be
[tex]\huge\color{skyblue}\boxed{\colorbox{black}{Answer♡}}[/tex]
[tex]a \: number \: x \: is \: reduced \: by \: 25\%[/tex]
[tex]25\% \: of \: x \: means \: ( \frac{25}{100} )(x) = 0.25x \\ \\=> x - 0.25x \\ = > 0.75x[/tex]
hope helpful~
The reduced quantity if x is reduced by 25% is 0.75x.
What is percentage?A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.
Given:
x is reduced by 25%,
Calculate the 25% of x as shown below,
25 / 100 × x
0.25x
Calculate the reduced quantity,
Reduced quantity = x - 0.25x
Reduced quantity = x(1 - 0.25)
Reduced quantity = 0.75x
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What is the answer to X=7-3y And 2x-4y=-6
I need it
Answer:
x = − 3 y + 7
Step-by-step explanation:
Reorder 7 and − 3
Ricky spends $103. 19 in additional interest and charges on monthly payments as the result of a prior bankruptcy. If Ricky had been able to save this money for one year and then put it into a savings account earning 3. 1% simple interest, how much money could he have in savings after two more years? a. $1,238. 28 b. $1,276. 67 c. $1,315. 06 d. $2,476. 56.
The amount of money he could have in savings after two more years is:c. $1,315. 06.
First step is to calculate the 12 month saving
Saving= 12 month × $103.19
Saving = $1238.28
Second step is to calculate the interest earned
Interest = Prt
Interest= $1238.28×·0.031×1
Interest= $38.39
Third step is to calculate the balance after 2 years
Saving= $1238.28 +(2 years × $38.39)
Saving= $1238.28 +$76.78
Saving= $1315.06
Inconclusion the amount of money he could have in savings after two more years is:c. $1,315. 06.
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Ashley and Christopher want to camp on the other side of a lake at point B. They are both going to kayak to the campsite from their homes. Ashley lives at point A and is kayaking from point A to point B. Christopher lives at point C and is kayaking from point C to point B. Based on the picture below, Ashley will kayak ___ miles more than Christopher. 0.5 mi, 1.5 mi, 2.5 mi, 3.0 mi. Please help!
Applying the midsegment theorem, the distant Ashley will kayak more than Christopher is: 0.5 mi
Recall:
The midsegment of a triangle joins two sides of a triangle at their midpoint.The third side is the base of the triangle.Triangles have three midsegments.Based on the midsegment theorem, the length of the midsegment = ½(third side).The picture given shows a triangle with two midsegments: AB and BC
AB = the distance Ashley will kayak.
BC = the distance Christopher will kayak.
XY = 5 mi (base)
XZ = 6 mi (base)
Applying the midsegment theorem, find AB and BC.
AB = ½(XZ)
SubstituteAB = ½(6)
AB = 3 mi
BC = ½(XY)
SubstituteBC = ½(5)
BC = 2.5 mi
Thus, the distance Ashley will kayak more than Christopher = AB - BC
= 3 mi - 2.5 = 0.5 mi.
Therefore, applying the midsegment theorem, the distant Ashley will kayak more than Christopher is: 0.5 mi
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what is the answer in the remainder
Answer:
12 with a remainder of 5
Step-by-step explanation:
have a good day! :)
Help please I’ll give Brainly please answer both I’ll give 5 stars and lines
Answer:
I really cant see the picture that well or, i would help.
Step-by-step explanation:
X
-9
-5
-1
3
Y
- 2
0
2
4
What is the slope of the line?
ok done. Thank to me :>
Find the distance between the origin and (-12,-9)
Answer:
Distance (d) = 15
Step-by-step explanation:
The given requires the distance between the point of origin, (0, 0), and (-12, 9). We can use the following distance formula for this problem:
[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(x_2-x_1)^2\:+\:(y_2-y_1)^2}}[/tex]
Let (x₁, y₁) = (0, 0)
(x₂, y₂) = (-12, 9)
Substitute these values into the distance formula.
[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(x_2-x_1)^2\:+\:(y_2-y_1)^2}}[/tex]
[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(-12\:-\:0)^2\:+\:(9-0)^2}}[/tex]
Perform the required subtraction within each parenthesis:
[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(-12)^2\:+\:(9)^2}}[/tex]
Next, take the squared values of -12 and 9 under the radical:
[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{144\:+\:81}}[/tex]
Add 144 and 81:
[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{225}}[/tex]
Distance (d) = 15
Answer:Therefore, the distance between the point of origin and (-12, 9) is 15.
For f(x) = 4 - x and g(x) = 3x² + x + 5, find the following functions.
a.
(fog)(x); b. (gof)(x); c. (fog)(3); d. (gof)(3)
Johnny kicks a ball into the air. Assume the path of the ball can be modeled with a quadratic function. The ball reaches a height of 10 feet and lands on the ground 3 seconds later. Draw and label a graph that models the path of the ball. Write an equation that models the path of Johnny’s ball.
An equation that models the path of Johnny’s ball is [tex]y = -\frac{40}9(x - 1.5)^2 + 10[/tex]
The maximum height is given as:
[tex]h_{max}= 10ft[/tex]
And the time spent is:
[tex]t = 3s[/tex]
So, the vertex of the ball would be:
[tex]Vertex = (t/2,h_{max})[/tex]
This gives
[tex]Vertex = (3/2,10)[/tex]
[tex]Vertex = (1.5,10)[/tex]
Rewrite properly as:
[tex](h,k) = (1.5,10)[/tex]
The ball is on the floor after 3 seconds.
So, another point on the graph is:
[tex](x,y) = (3,0)[/tex]
A quadratic equation is represented as:
[tex]y=a(x - h)^2 + k[/tex]
Substitute [tex](x,y) = (3,0)[/tex] and [tex](h,k) = (1.5,10)[/tex] in [tex]y=a(x - h)^2 + k[/tex]
[tex]0=a(3 - 1.5)^2 + 10[/tex]
[tex]0=a(1.5)^2 + 10[/tex]
Evaluate the exponent
[tex]0=2.25a + 10[/tex]
Subtract 10 from both sides
[tex]2.25a =- 10[/tex]
Divide both sides by 2.25
[tex]a = -\frac{10}{2.25}[/tex]
Multiply by 4/4
[tex]a = -\frac{40}{9}[/tex]
Substitute [tex]a = -\frac{40}{9}[/tex] and [tex](h,k) = (1.5,10)[/tex] in [tex]y=a(x - h)^2 + k[/tex]
[tex]y = -\frac{40}9(x - 1.5)^2 + 10[/tex]
See attachment for the graph that models the path
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Just checking, am I correct?
Answer: yes!
Step-by-step explanation:
Answer: As to what I am seeing i think you are doing fine
Step-by-step explanation:
Great Job
Please help answer this question also with explanation
John is 9 times as heavy as his dog.
Determine which of the statement's below is true.
O John weighs 900% more than his dog.
O John weighs 800% more than his dog.
O John's dog weighs 800% less than John.
sources
O John weight is 800% of his dog's weight.
Answer:
John weighs 900% more than his dog
Step-by-step explanation:
The weight of John is 8x more than his dog.
Given that, John is 9 times as heavy as his dog.
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 "%".
Let weight of John's dog be x, then weight of John will be 9x.
Difference of weight = 9x-x
= 8x
Therefore, the weight of John is 8x more than his dog.
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2. List the like terms in each of the following:
i) 6a , 13b2 , -2a , 2a2 , -b2 , bc
i m not sure about the answer ...
f(x) = -x - 14
Find x if f(x) = -2
Answer:
x = -12
Step-by-step explanation:
First, you want to plug in f(x)'s value into the equation.
-2 = -x-14
Then solve for x:
x=-14+2
x=-12
Please Help Question In Picture
Answer:
A
Step-by-step explanation:
Since Angle XYZ is equal to Angle YZX,
XY=XZ
The two triangles are congruent.So,
VW=YZ
XY=UV
XZ=UW
Thus;
XY=UV
XZ=UW
XZ=XY=UV=UW
So the permieter is 5.7 + 5.7 + 3.7 = 15.1 cm
2+5+8+….+3n-1=n(3n+1)/2
Answer:
all you do is() first divide then go from left to right answers 4
A small jar of mustard holds 75% as much as a large jar of mustard. If the large jar holds 36 ounces, how much does the small jar hold?
Answer:
27 ounces
Step-by-step explanation:
36 / 4 = 9 x 3 = 27
Simplify.
(5³)²
its telling me to write at least 20 characters so uhm-- ignore the rest of this weeeeeeeeeeeeeeeeee
Answer:
5⁶=15625...............
Arrange in descending order: 101.121, 111.101, 101.112, 110.111
Answer:
111.101, 110.111, 101.121, 101.112
Step-by-step explanation:
Descending order means values starting with big ones and ending with the small ones.
So, in this case,
111.101, 110.111, 101.121, 101.112Hope it helps :)