Answer:
11 meters.
Step-by-step explanation:
The important thing to note here is that the backyard is a square. Since it's a square, all of its sides all equivalent in length. Thus, let's find the length of the sides. To do this, we use the area formula.
The formula for the area of a square is:
[tex]A=n^2[/tex]
Where n is a side. Since we know the area already, we can find n. Find n:
[tex]121=n^2\\n=11[/tex]
Since every side in a square are equivalent, all sides are 11 meters in length.
Therefore, each section of the fence should be 11 meters long.
Lenny is competing with his cousin, Jasper, in an indoor rock-climbing contest. At the start of the climb, Lenny makes his way 5 ¼ feet up the wall, while Jasper climbs 9 ¾ feet. How much farther did Jasper climb than Lenny?
Answer:
[tex]4\frac{1}{2}[/tex] feet further.
Step-by-step explanation:
Since these are mixed numbers that are both in fourths, we can easily subtract the two numbers. However, I find it easier if we first convert both mixed numbers into improper fractions.
[tex]5\frac{1}{4} = \frac{5\cdot4+1}{4} = \frac{21}{4}[/tex]
[tex]9\frac{3}{4} = \frac{9\cdot4+3}{4} = \frac{39}{4}[/tex]
Now we can subtract the numerators:
[tex]\frac{39}{4} - \frac{21}{4} = \frac{39-21}{4} = \frac{18}{4}[/tex]
[tex]\frac{18}{4}[/tex] simplifies down to [tex]\frac{9}{2}[/tex].
Converting [tex]\frac{9}{2}[/tex] to a mixed number is easy - 2 goes into 9 4 times (8) with one remainder so:
[tex]4\frac{1}{2}[/tex] .
Hope this helped!
1A-MATH
Diviwuetalls
2 Exercise 7:
Your ansv
Type you
The three angles in a triangle are labeled A, B and C.
A = 2x
B= 3x
C=4x
Private coi
1) calculate X
2) find the actual angle of B
3) find the exterior angle to B
Answer:
Value of x = 20°
Angle B = 60°
Exterior angle to B = 300°
Step-by-step explanation:
Given:
Angles of triangle.
A = 2x
B = 3x
C = 4x
We know that,
A + B + C = 180°
2x + 3x + 4x = 180°
9x = 180°
x = 20°
Value of x = 20°
Angle B = 3x
Angle B = 3(20°)
Angle B = 60°
Exterior angle to B = 360° - 60°
Exterior angle to B = 300°
10. RP3-M
Jeanette purchased a concert ticket on a web site. The original price of the ticket was $75.
She used a coupon code to receive a 20% discount. The website applied a 10% service fee
to the discounted price. Jeannette's ticket was less than the original price by what percent?
Answer:
Jeannette's ticket was less than the original pice by 30%
Step-by-step explanation:
original price = $75
percentage discount = 20% of original price = 20% of $75
discounted price = [tex]\frac{20}{100} \times\ 75\ =\ 15[/tex]
discounted price = $15
website service fee = 10% of original price
website service fee = [tex]\frac{10}{100}\times 75 = \$7.5[/tex]
New discounted price = discount price + website service fee
= 15 + 7.5 = $22.5
Next, let us calculate what percentage of the original price that will give the new discount price.
Let the percentage of the original price = x%
x% of 75 = $22.5
[tex]\frac{x}{100} \times\ 75\ = 22.5\\\\\frac{75x}{100} = 22.5\\\\75x = 2250\\\\x = \frac{2250}{75} \\\\x = 30[/tex]
Therefore, Jeannette's ticket was less than the original pice by 30%
Evaluate -3.28 - (-4.4) + (-p) where p = 9.7
Answer:
-8.58
Step-by-step explanation:
p = 9.7
=> -3.28 - (-4.4) + (-p)
=> -3.28 - (-4.4) + (- (9.7))
=> -3.28 - (-4.4) + (-9.7)
=> -3.28 - (-4.4) -9.7
=> -3.28 +4.4 -9.7
=> -12.98 +4.4
=> -8.58
Answer:
The evaluated answer for this equation is -8.58
Step-by-step explanation:
We are given a value of p so we will use this value for the equation.
-3.28 - (-4.4) + (-p)
Replace p with 9.7
-3.28 - (-4.4) + (-9.7)
Since there is a double negative in front of 4.4, then that means that we are going to be adding -3.28 to 4.4
1.12 + (-9.7)
Subtract 1.42 from 9.7 because there is negative sign in front of 9.7
-8.58
w = zh - 6zk². Solve for z
(preferred with steps)
Answer:
w
z = ------------
h - 6k²
Step-by-step explanation:
w = zh - 6zk²
zh - 6zk² = w
w
z = ------------
h - 6k²
What is negative 14 minus 5
Answer:
-19
Step-by-step explanation:
(-14)
-5
-------
14+5=19
add the negative
-19
A car is averaging 50 miles per hour. If the car maintains this speed, how many minutes less would a 450-mile trip take than a 475-mile trip?
Answer:
1/2 a minute (30 seconds)
Step-by-step explanation:
475/50=9.5
450/50=9
9-9.5=.5
1. Which expression is equivalent to (-2)(a + 6)?
Answer:
please mark my answer brainliest
Step-by-step explanation:
- 2a -12
please answer the question in the photo
Answer:
b
Step-by-step explanation:
i honestly dont know what a and c are but cytokinesis is the division of the cytoplasm eg in binary fission and the question is on chromatids I chose b since in meiosis is where homologous chromosomes fail to separate however this can happen if it's the second phase of meiosis but since in mitosis in anaphase is where sister chromatids can fail to separate I chose it
3x + 5y = 8
-9x - 15y = - 24
ayudeneme con esta ecuacion de igualacion
Answer:
así que para el primero simplemente ignora la x y la y porque cinco y tres son ocho y lo mismo con el segundo problema es igual a lo que dice
Step-by-step explanation:
de nada!!!
Is there any video related to this or can you explain how to do it
Angles ECD and CEF add to 180
40+140 = 180
So that means we have EF parallel to CD (due to the same side interior angle theorem)
--------------
Angles BCE and ECD combine to 30+40 = 70, which is congruent to angle ABC = 70 as well.
In other words, this shows angle ABC = angle BCD. Both of these angles are alternate interior angles. Since they're congruent, they lead to AB being parallel to CD.
--------------
So far we have
AB || CD
CD || EF
Using the transitive property, we can then link the two statements to say AB || EF. Think of a chain where CD is the common link. We go from AB to CD, then from CD to EF. So we can just take a single path from AB to EF.
It's like saying "P --> Q and Q --> R, therefore P --> R"
What is the value of x
Answer:4,24
Step-by-step explanation:
2(4x+x)=60
10x=60
x=6
4*6=24
Answer:
Step-by-step explanation:
Perimeter of a rectangle = 2 ( l + b ) = 60
here,
l = 4x
b = x
so,
2 ( l + b ) = 60
2 ( 4x + x ) = 60
2 ( 5x ) = 60
5x = 60 / 2
5x = 30
x = 30 / 5
x = 6
so l = 4x = 4 × 6 = 24
b = x = 6
you can also recheck it by
2 ( l + b )
2 ( 24 + 6 )
= 2 × 30
= 60
Which is equal to the perimeter.
Hope this helps
plz mark as brainliest!!!!!
What is the value of z for the equation fraction 1 over 2z = −fraction 3 over 4 + fraction 1 over 4z? −3 −1 1 3
Answer:
z= -3
Step-by-step explanation:
Given:
1/2z =-3/4 + 1/4z
Collect like terms
1/2z - 1/4z = -3/4
Add 1/2z - 1/4z
2z-z / 4 = -3/4
We have
z/4=-3/4
Same as
z(1/4) = -3/4
Divide both sides by 1/4
z(1/4) ÷ 1/4 = -3/4÷1/4
z(1/4) × 4/1= -3/4 × 4/1
z(4/4) = -12/4
z= -3
The value of z= -3
Answer:
-3
Step-by-step explanation:
I got it right on the test
what are the squares from 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 answer when multiplied by itself
Answer:
I hope it helps :)
Step-by-step explanation:
[tex] {1}^{2} = 1 \times 1 = 1\\ {2}^{2} = 2 \times 2 = 4\\ {3}^{2} =3 \times 3 = 9\\ {4}^{2} = 4 \times 4 = 16 \\ [/tex]
[tex]{5}^{2} = 5 \times 5 = 25 \\ {6}^{2} = 6 \times 6 = 36 \\ {7}^{2} = 7 \times 7 = 49\\ {8}^{2} = 8 \times 8 = 64[/tex]
[tex] {9}^{2} = 9 \times 9 = 81 \\ {10}^{2} = 10 \times 10 = 100 \\ {11}^{2} = 11 \times 11 = 121 \\ { {12}^{2} } = 12 \times 12 = 144[/tex]
[tex] {13}^{2} = 13 \times 13 = 169 \\ {14}^{2} = 14 \times 14 = 196 \\ {15}^{2} = 15 \times 15 = 225 \\ {16}^{2} = 16 \times 16 = 256[/tex]
[tex] {17}^{2} = 17 \times 17 = 289 \\ {18}^{2} = 18 \times 18 = 324 \\ {19}^{2} = 19 \times 19 = 361 \\ {20}^{2} = 20 \times 20 = 400[/tex]
Step-by-step explanation:
Is this the answer you want? If nope inform me.i hope you just ignore my handwriting ☺️
COMPUTE
3 ( 2 1/2 - 1 ) + 3/10
Answer:
[tex] \boxed{ \frac{24}{5} }[/tex]Step-by-step explanation:
[tex] \mathsf{3(2 \frac{1}{2} - 1) + \frac{3}{10} }[/tex]
Convert mixed number to improper fraction
[tex] \mathrm{3( \frac{5}{2} - 1) + \frac{3}{10} }[/tex]
Calculate the difference
⇒[tex] \mathrm{3( \frac{5 \times 1}{2 \times 1} - \frac{1 \times 2}{1 \times 2} }) + \frac{3}{10} [/tex]
⇒[tex] \mathrm{ 3 \times( \frac{5}{2} - \frac{2}{2}) } + \frac{3}{10} [/tex]
⇒[tex] \mathrm{3 \times ( \frac{5 - 2}{2} ) + \frac{3}{10} }[/tex]
⇒[tex] \mathrm{3 \times \frac{3}{2} + \frac{3}{10} }[/tex]
Calculate the product
⇒[tex] \mathrm{ \frac{3 \times 3}{1 \times 2} + \frac{3}{10} }[/tex]
⇒[tex] \mathrm{ \frac{9}{2} + \frac{3}{10}} [/tex]
Add the fractions
⇒[tex] \mathsf{ \frac{9 \times 5}{2 \times 5} + \frac{3 \times 1}{10 \times 1} }[/tex]
⇒[tex] \mathrm{ \frac{45}{10} + \frac{3}{10} }[/tex]
⇒[tex] \mathrm{ \frac{45 + 3}{10 } }[/tex]
⇒[tex] \mathrm{ \frac{48}{10} }[/tex]
Reduce the numerator and denominator by 2
⇒[tex] \mathrm{ \frac{24}{5} }[/tex]
Further more explanation:
Addition and Subtraction of like fractions
While performing the addition and subtraction of like fractions, you just have to add or subtract the numerator respectively in which the denominator is retained same.
For example :
Add : [tex] \mathsf{ \frac{1}{5} + \frac{3}{5} = \frac{1 + 3}{5} } = \frac{4}{5} [/tex]
Subtract : [tex] \mathsf{ \frac{5}{7} - \frac{4}{7} = \frac{5 - 4}{7} = \frac{3}{7} }[/tex]
So, sum of like fractions : [tex] \mathsf{ = \frac{sum \: of \: their \: number}{common \: denominator} }[/tex]
Difference of like fractions : [tex] \mathsf{ \frac{difference \: of \: their \: numerator}{common \: denominator} }[/tex]
Addition and subtraction of unlike fractions
While performing the addition and subtraction of unlike fractions, you have to express the given fractions into equivalent fractions of common denominator and add or subtract as we do with like fractions. Thus, obtained fractions should be reduced into lowest terms if there are any common on numerator and denominator.
For example:
[tex] \mathsf{add \: \frac{1}{2} \: and \: \frac{1}{3} }[/tex]
L.C.M of 2 and 3 = 6
So, ⇒[tex] \mathsf{ \frac{1 \times 3}{2 \times 3} + \frac{1 \times 2}{3 \times 2} }[/tex]
⇒[tex] \mathsf{ \frac{3}{6} + \frac{2}{6} }[/tex]
⇒[tex] \frac{5}{6} [/tex]
Multiplication of fractions
To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term.
When any number or fraction is divided by a fraction, we multiply the dividend by reciprocal of the divisor. Let's consider a multiplication of a whole number by a fraction:
[tex] \mathsf{4 \times \frac{3}{2} = \frac{4 \times 3}{2} = \frac{12}{2} = 6}[/tex]
Multiplication for [tex] \mathsf{ \frac{6}{5} \: and \: \frac{25}{3} }[/tex] is done by the similar process
[tex] \mathsf{ = \frac{6}{5} \times \frac{25}{3} = 2 \times 5 \times 10}[/tex]
Hope I helped!
Best regards!
Madison needs to buy enough meat to make 1,000 hamburgers will weigh 0.25 pound. How many pounds of hamburger meat should Madison buy
Answer:
Madison is gonna need to buy 250 pounds of meat.
Feel free to Brainliest :)
what is the value of the expression below when x= 5 and y= 5? 6x - 6y
Step-by-step explanation:
since, x = 5 and y = 5
we substitute the values to the equation 6x - 6y
So:
6(5) - 6(5)
= 30 - 30
= 0
I hope this helps!
Step-by-step explanation:
IS 0 thanks me latter:))!
Simplify the expression. (3x2 – 4x + 1) + (-x2 + x – 9)
[tex](3x^2 - 4x + 1) + (-x^2 + x - 9)=\\3x^2-4x+1-x^2+x-9=\\2x^2-3x-8[/tex]
help..? why are there so many parentheses..?can you plz give a step by step on how to slove the equation?
Answer:
= -11
Step-by-step explanation:
-(-(11-22))
= -(-11+22)
= 11 - 22
= -11
Marta esta poniendo sus libros en una estantería. Le faltan 7 libros para poder poner 12 en cada estante; sin embargo, si pone 10 libros en cada estante, se quedan 5 libros sin poner. ¿Cuantos es antes tiene la estantería?
Answer:
x = 6 la cantidad de estantes
y = 65 cantidad de libros
Step-by-step explanation:
LLamemos "x" la cantidad de estantes que tiene Marta, y llamaremos "y" la cantidad de libros.
La primera condición que se debe cumplir es que cuando Marta coloca 12 libros en cada estante entonces le faltan 7, esto lo expresamos así:
y + 7 = 12*x (1)
La segunda condición establece que si Marta coloca los libros en número de 10 por estante le quedan 5 sin colocar, luego esto en lenguaje matemático se expresa así:
y - 5 = 10*x (2)
Ahora hemos obtenido un sistema de dos ecuaciones con dos incógnitas que se resuelve por cualquiera de los métodos conocidos, usaremos el método de sustitución.
Despejamos y en la primera ecuación y lo sustituimos en la segunda, de esa forma obtendremos el valor de x
y = 12*x - 7
(12*x - 7 ) - 5 = 10*x
2*x -12 = 0
2*x = 12
x = 6 la cantidad de estantes, y
y = 12*x -7
y = 72 - 7
y = 65 cantidad de libros
what is the radical of 5√72 PLZ HELP!
Answer: Exact Form: 30√2
Decimal Form:42.42640687…
Step-by-step explanation: Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
I hope this helped :)
Answer:
30√2
Step-by-step explanation:
The radical portion of the given expression is √72.
__
Perhaps you want the simplest form of your expression. Factor out the perfect squares from under the radical.
[tex]5\sqrt{72}=5\sqrt{36}\sqrt{2}=5\cdot 6\sqrt{2}=\boxed{30\sqrt{2}}[/tex]
There are a total of two hundred students and chaperones going on a
field trip. Each bus can hold 60 passengers. How many buses will be
used for the field trip? Explain why your answer is reasonable.
Answer:
4 bus is required for field trip to carry 200 passengers.
Step-by-step explanation:
Total no . of passengers = 200
let the be x bus required to carry 200 passengers
capacity of 1 bus = 60 passengers
capacity of x bus = 60*x passengers = 60x passengers
Thus,
60x = 200
x = 200/60 = 3 2/3
thus, 3.66 bus is required , but no. of bus cannot be in fraction hence we take integral value greater than 3.66 which is 4
Thus, 4 bus is required for field trip to carry 200 passenger.
HELP!!!
The solutions to (x + 3)^2- 4=0 are x = -1 and x = -5
True or false
Answer:
False
Step-by-step explanation:
We can simplify this equation and then solve for x.
[tex](x+3)^3-4=0\\\\x^2+6x+9-4=0\\\\x^2+6x+5=0\\\\(x+2)(x+3)=0\\\\x=-3\\x=-2[/tex]
As you can see, the solutions are not x=-1 and x=-5.
Therefore, the answer is false.
Answer:
True
Step-by-step explanation:
Given
(x + 3)² - 4 = 0 ( add 4 to both sides )
(x + 3)² = 4 ( take the square root of both sides )
x + 3 = ± [tex]\sqrt{4}[/tex] = ± 2 ( subtract 3 from both sides )
x = - 3 ± 2
Thus
x = - 3 - 2 = - 5
x = - 3 + 2 = - 1
area of a parrollelogram with a base length of 2.9ft and a height of 5.5ft
Answer:
[tex] \boxed{15.95 \: {ft}^{2} }[/tex]Step-by-step explanation:
base length ( b ) = 2.9 ft
Height ( h ) = 5.5 ft
Let's find the area of parallelogram:
Area of parallelogram : [tex] \mathsf{ = b \times h}[/tex]
plug the values
⇒[tex] \mathsf{2.9 \times 5.5}[/tex]
Multiply
⇒[tex] \mathsf{15.95}[/tex] ft²
--------------------------------------------------------------------
Extra information:
Parallelogram
The quadrilateral in which opposites sides are parallel is called a parallelogram.
The opposite sides of a parallelogram are equal.The opposite angles of a parallelogram are equal.The diagonals of a parallelogram bisect each other.The area of a parallelogram = base × heightHope I helped!
Best regards!
Which expression is equivalent to (–2)(a + 6)?
A. –2a + 6
B. 2a + 12
C. –2a – 12
D. –2a + 12
The answer is option c.
PLEASE HELPP on THIS PICTURE FOR ONE OF MY QUESTIONS
Answer:
Linear pair postulate
Step-by-step explanation:
The Linear Pair Postulate states: "If two angles form a linear pair, then the angles are supplementary; that is, the sum of their measures is 180 degrees
A linear pair of angles is such that the sum of angles is 180 degrees.
For the function F(x)= 1/x-2 whose graph is shown below, what is the relative value of F(x) when the value of x is close to 2?
Answer:
10,000
Step-by-step explanation:
kelly used 2.1 x 10^6 KB of data so far this month. her younger brother joseph used 7 x 10^5 KB of the data so far this month if their share family plan allows them to use 3,000,000 KB of the data each month, how much data usage o they have available for the remainder of this month?
Answer:
They will 200,000 kb left
Step-by-step explanation:
2.1 x 10^6=2,100,000 7 x 10^5=700,000
PLEASE ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!!!The technology stock has risen to $9.80 today. Yesterday's price was $9.67. Find the percentage increase
Answer:
1.34%
Step-by-step explanation:
First of all subtract the 2 values
9.84−9.71=0.13
use this value and find the percentage from the original price which was 9.71
0.13
------- ⋅100
9.71
percentage increase is
1.34%
Msr walkers class set up an online fund with a goal to raise 1280
Answer: is brainly broken for u too??
Step-by-step explanation: