Answer:
0.4
Step-by-step explanation:
Given
[tex]\frac{0.2^3(8)}{0.4^2}[/tex]
= [tex]\frac{0.008(8)}{0.16}[/tex]
= [tex]\frac{0.064}{0.16}[/tex]
= 0.4
What is negative 14 minus 5
Answer:
-19
Step-by-step explanation:
(-14)
-5
-------
14+5=19
add the negative
-19
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
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.
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.
**Yoxelt buys 4 1/ 2 gallons of soda. One-fourth of the soda he bought was Pepsi and the rest was Sprite. How many gallons of Pepsi did Yoxelt buy? Show all work below.
Answer:
1 1/8
Step-by-step explanation:
1/4 of 4 1/2 is Pepsi.
1/4 * 4 1/2 = (1/4) * 4 + (1/4) * (1/2) = 1 1/8
Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form.
there is no visible graph
Step-by-step explanation:
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"
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
Find the vertex and the length of the latus rectum. x= 1/2 (y - 5)² + 7
Answer:
Vertex = (7,5)
Length of latus rectum = 2 units
Step-by-step explanation:
The vertex form of a parabola is
[tex]x=a(y-k)^2+h[/tex] ...(1)
where, (h,k) is vertex and length of latus rectum is [tex]\left|\dfrac{1}{a}\right|[/tex].
The given equation is
[tex]x=\dfrac{1}{2}(y-5)^2+7[/tex] ...(2)
On comparing (1) and (2), we get
[tex]h=7,k=5,a=\dfrac{1}{2}[/tex]
So, vertex of parabola is (7,5).
Length of latus rectum is
[tex]L.R.=\left|\dfrac{1}{a}\right|=\left|\dfrac{1}{\frac{1}{2}}\right|=2[/tex]
Therefore, the length of the latus rectum is 2 units.
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
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
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%
What is the length of LM? (Question and answer choices provided in picture.)
Answer:
24√3
Step-by-step explanation:
cos∅ = adjacent over hypotenuse
Step 1: Use cos∅
cos30° = LM/48
Step 2: Multiply both sides by 48
48cos30° = LM
Step 3: Evaluate
LM = 24√3
Answer:
[tex]\large \boxed{24 \sqrt{3} }[/tex]
Step-by-step explanation:
The triangles are right triangles. We can use trig functions to solve.
cos θ = adj/hyp
Take the triangle KLM.
cos 30 = LM/KL
cos 30 = LM/48
Multipy both sides by 48
(48) cos 30 = LM/48 (48)
Simplify.
48 cos30 = LM
24√3 = LM
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:
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
Point E is on line segment DF. Given DE=9 and DF=11, determine the length EF.
Answer: Line EF=2
Step-by-step explanation: 11 minus 9 is equal to 2. So line EF is equal to 2.
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]
please help me on this!! i’ll mark u the brainliest
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!
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
BRAINLIEST, 5 STARS AND THANKS IF ANSWERED CORRECTLY.
A quadratic equation with a negative discriminant has a graph that..
A. touches the x-axis but does not cross it
B. opens downward and crosses the x-axis twice
C. crosses the x-axis twice.
D. never crosses the x-axis.
Answer:
never crosses the x-axis.
Step-by-step explanation:
A quadratic equation with a negative discriminant has a graph that - never crosses the x-axis.
Answer:
The graph of a quadratic equation that has a negative discriminant is the one that never intersect x-axis. The graph of a quadratic equation that has a zero discriminant is the one that intersect x-axis at only one point. To be clearer, it can be seen in the attached image.
Step-by-step explanation:
Answer D
1. What is the solution to 6m – 10 = 22 – 2m ?
Answer:
The value of m in the given equation is 4.
Step-by-step explanation:
6m - 10 = 22 - 2m
Add 2m on both sides of the equation.
8m - 10 = 22
Add 10 to both sides of the equation.
8m = 32
Divide by 8 on both sides of the equation.
m = 4
The value of m is 4.
Find the common ratio of the geometric sequence: 12.5,−62.5,312.5,−1562.5,… A. 5 B. -5 C. −15 D. 15
Answer:
B
Step-by-step explanation:
The common ratio r exists between consecutive terms in the sequence, that is
r = - 62.5 ÷ 12.5 = 312.5 ÷ - 62.5 = - 1562.5 ÷ 312.5 = - 5
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]
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!
Find the value of each of the following: a. |15| b. |−15| c. −|15| d. −|−15| *Note: the numbers are inside the 2 parallel lines*
Answer:
a is 15, b is 15, c is -15, and d is -15 also
Step-by-step explanation:
The 2 parallel lines that surround the number are called "absolute value signs" everything inside them has an outcome of a positive number and in this case the number is 15. Like I said the number(s) inside the absolute value signs have to have a outcome of a positive number, notice in c and d there is a negative sign outside the absolute value signs. Therefore you multiply the negative seperately so, 15(-1) is -15.
A bag contains white,blue and red balls ratio8:3:2 and there are 10 red balls,if 10 white balls and 10 blue balls are removed from the bag.Find the new ratio of the balls.
Answer:
New ratio ( white,blue and red) = 6:1:2
Step-by-step explanation:
Given:
Old ratio ( white,blue and red) = 8:3:2
Number of red balls = 10
Removed balls = 10 white , 10 blue
Find:
New ratio ( white,blue and red)
Computation:
Assume total number of balls = x
So,
Number of total balls = 2x / 13 = 10
Number of total balls = 65
Number of white balls = 40
Number of blue balls = 15
So,
Number of new white balls = 40 - 10 = 30
Number of new blue balls = 15 - 10 = 5
New ratio ( white,blue and red) = 30 : 5 : 10
New ratio ( white,blue and red) = 6:1:2
The new ratio of the white, blue, and red balls is 6:1:2.
Given to usA bag contains white,blue, and red balls ratio8:3:2 and there are 10 red balls,if 10 white balls and 10 blue balls are removed from the bagPart 1The balls in the bag are in the ratio 8:3:2, therefore, the balls in the bags are,
white balls = 8x
blue balls = 3x
red balls = 2x =10,
Solving for red balls,
[tex]2x = 10\\x =\dfrac{10}{2}\\x = 5[/tex]
Now, substituting the value of x to know the numbers of balls are,
white balls = 8x
[tex]= 8 \times 5\\=40[/tex]
blue balls = 3x
[tex]= 3\times 5\\=15[/tex]
Part 2After removing, 10 white balls and 10 blue balls from the bag,
red balls = 10 balls
white balls = 40 balls - 10 balls = 30 balls
blue balls = 15 balls - 10 balls = 5 balls
Dividing all the number of balls by 5,
red balls = 10 balls
[tex]\dfrac{10\ balls}{5} = 2[/tex]
white balls = 30 balls
[tex]\dfrac{30\ balls}{5} = 6[/tex]
blue balls = 5 balls
[tex]\dfrac{5\ balls}{5} = 1[/tex]
Hence, the new ratio of the white, blue, and red balls is 6:1:2.
Learn more about Ratio:
https://brainly.com/question/1504221
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!
Find the values of a and b so that the following
system of linear equations have infinitely solutions:
(1) (2a - 15x + 3y - 5 = 0, 3x + (6 - 1)y - 2 = 0
plz answer step by step
Answer:
a = 15/2, b = 2/5
Step-by-step explanation:
For a system of two linear equations to have infinitely many solutions, the equations must be equivalent to one another.
Assuming a and b to be constants, and since b is absent from equations, there must be a typo where b was mistaken for a 6.
Modified equations:
2a - 15x + 3y - 5 = 0 ...................(1)
3x + (b - 1)y - 2 = 0 .....................(2)
rearrange equations to standard form:
-15x + 3y + 2a-5 = 0 .................(1a)
3x + (b-1)y -2 = 0 ........................(2)
To equalize the coefficient of x, multiply (2) by -5
-15x - 5(b-1) y +10 = 0 ................(2a)
Subtract (2a) from (1a)
3y + 5(b-1)y + 2a-5 -10 = 0 ..............(3)
For the two equations (1a) and (2a) to be identical, coeffients of y and constant term of (3) must equal zero.
3+5(b-1) = 0 .................(4)
3+5b-5 = 0
5b = 2
b = 2/5
2a-5-10 = 0 .....................(5)
a = 15/2
