Respuesta:
24 horas
Explicación paso a paso:
El primer medicamento se toma cada 8 horas.
El segundo medicamento se toma cada 12 horas.
Para Obtian el momento en que ambos medicamentos se volverán a tomar juntos:
Encontramos el mínimo común múltiplo de 8 y 12
Múltiplos de:
8 = 8, 16, 24, 32, 40, 48, 56
12 = 12, 24, 36, 48, 60
El mínimo común múltiplo de 8 y 12 es 24.
Por lo tanto, ambos medicamentos se volverán a tomar después de 24 horas.
Sum of three consecutive multiples of 6 is 648. One of these multiple is
Answer:
Let two consecutive multiples of 3 be x and (x+3)
A/q,
x * (x+3) = 648
➡ x² + 3x = 648
➡ x² + 3x -648 = 0
➡ x² + 27x - 24x -648 = 0
➡ x ( x + 27 ) -24 ( x +27)
➡ ( x - 24) ( x + 27)
➡ x = 24 and x = -27
so, we take x = 24.
Required multiples of 3
➡ x = 24
➡ x +3 = 24+3 = 27.
Answer:
The three consecutive multiples are 210, 216, 222
Step-by-step explanation:
3 consecutive multiples of 6 be : 6n , 6n + 6 , 6n + 12
Given sum of these 3 numbers is = 648
That is ,
6n + 6n + 6 + 6n + 12 = 648
18 n + 18 = 648
18n = 648 - 18
18 n = 630
n = 35
Therefore the three consecutive multiples are :
6 x 35 , 6 x 35 + 6, 6 x 35 + 12
210 , 210 + 6 , 210 + 12
210 , 216, 222
When solving the equation x2 – 8x - 7 = 0 by completing the square, which equation
is a step in the process?
Lets Solve
[tex] \\ \rm \longmapsto \: {x}^{2} - 8x - 7 = 0 \\ \\ \rm \longmapsto \: {x}^{2} - 8 {}^{}x = 7 \\ \\ \rm \longmapsto \: 4( {x}^{2} - 8x) = 4 \times 7 \\ \\ \rm \longmapsto \: {4x}^{2} - 32x = 28 \\ \\ \rm \longmapsto \: {(2x)}^{2} - 2 \times 2x \times 8 = 28 \\ \\ \rm \longmapsto \: (2x) {}^{2} - 2 \times 2x \times 8 + {8}^{2} = 28 + {8}^{2} \\ \\ \rm \longmapsto \: {(2x - 8)}^{2} = 64 + 28 \\ \\ \rm \longmapsto \: {(2x - 8)}^{2} = 92 \\ \\ \rm \longmapsto \: 2x - 8 = \underline{ + }9.3 \\ \\ \rm \longmapsto \:2x = 8 + 9.3 \: or \: 8 - 9.3 \\ \\ \rm \longmapsto \:2x = 17.3 \:or \: - 1.3 \\ \\ \rm \longmapsto \:2x = 17.3 \\ \\ \rm \longmapsto \:x = \frac{17.3}{2} \\ \\ \rm \longmapsto x = \:8.6[/tex]
Ignore negative valueI really really need help on this, please help me
Jeremy is conducting a survey about his coworkers’ in-office water consumption to encourage management to install more water dispensers at their location. He found that the population mean is 112.5 ounces with a standard deviation of 37.5. Jeremy has a sample size of 96. Complete the equation that Jeremy can use to find the interval in which he can be 99.7% sure that the sample mean will lie. 37.5 112.5 75 96 150 9.8
Using the z-distribution, as we have the standard deviation for the population, it is found that the 99.7% confidence interval is given by:
[tex]112.5 \pm 3\frac{37.5}{\sqrt{96}}[/tex]
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.99.7% confidence level, hence[tex]\alpha = 0.997[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.997}{2} = 0.9985[/tex], so [tex]z = 3[/tex].
The other parameters are:
[tex]\mu = 112.5, \sigma = 37.5, n = 96[/tex]
Hence, the interval is:
[tex]112.5 \pm 3\frac{37.5}{\sqrt{96}}[/tex]
To learn more about the z-distribution, you can check https://brainly.com/question/25890103
What is the square unit of this figure?
Answer:
58
Step-by-step explanation:
Area = Area of entire recangle - area of cut out
a = (10 * 7) - (6 * 2)
a = 70 - 12
a = 58
the equation 3x square -12x+(n-5)=0 has equal roots find the value of n
Answer:
n = 17
Step-by-step explanation:
For a quadratic equation to have equal roots b²-4ac should be equal to zero in the quadratic equation ax²+bx+c=0.
Equation : 3x² - 12 x + ( n - 5) = 0
a = 3, b = -12, c = ( n - 5)
b² - 4ac = 0
(-12)² - (4 x 3 x (n - 5)) = 0
144 - 12( n - 5 ) = 0
12( n - 5 ) = 144
n - 5 = 12
n = 17
Check if it's true :
3x² - 12 x + ( 17 - 5) = 0
3x² - 12 x + 12 = 0
3(x² - 4x + 4) = 0
(x² - 4x + 4) = 0
(x - 2)(x - 2) = 0
x = 2 , 2
Equal roots .
Go step by step to reduce the radical.
V216
Answer:
[tex]6\sqrt{6}[/tex]
Step-by-step explanation:
[tex]\sqrt{216}[/tex]
factorise 216
[tex]\sqrt{2*2*2*3*3*3}[/tex]
since it is square root (meaning it has index to) pair up the number
[tex]2*3\sqrt{2*3[/tex]
[tex]6\sqrt{6}[/tex]
What are the factors of x^2 + 8x + 12?
Answer:
(x+2)(x+6)
Step-by-step explanation:
that is the answer because math
=>x^2+8x+12
=>x^2+6x+2x+12
=>x(x+6)+2(x+6)
=>(x+6)(x+2)
Hope it helps you
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
A landscaper is selecting two trees to plant. He has five to choose from. Three of the five are deciduous and two are evergreen.
What is the probability that he chooses trees of two different types? Express your answer as a percent.
30%
40%
50%
60%
Answer:
The probability that he chooses trees of two different types is 30%.
Step-by-step explanation:
Given that a landscaper is selecting two trees to plant, and he has five to choose from, of which three of the five are deciduous and two are evergreen, to determine what is the probability that he chooses trees of two different types must be performed the following calculation:
3/5 x 2/4 = 0.3
2/5 x 3/4 = 0.3
Therefore, the probability that he chooses trees of two different types is 30%.
Answer:
Actually the right answer is 60%! Not 30 %! (つД｀)･ﾟ･
Step-by-step explanation:
Imperial measurements help please
Answer:
1. a. miles or feet
b. inches
c. ounces
d. gallons
2. a. 1:36
b. 1/1
c. 63,360
Step-by-step explanation:
which ratio is equivalent to the ratio 2:52
Answer:
1:26
Step-by-step explanation:
You can divide both sides by 2.
Using the box method solve (x-4)(5x+3
Answer:
= X(5x+3)-4(5x+3)
= 5x²+ 3x- 20x-12
= 5x²-17x-12
Answer:
5x(squared)-17x-20
Step-by-step explanation:
Which square—large, medium, or small—covers more of the plane? In 2-3 sentences, explain your reasoning for choosing the large, medium or small square.
Answer:
The large square covers more
Step-by-step explanation:
Given
See attachment for squares
Required
Which covers more plane
The large square has the highest dimension and by extension, it has the highest area.
This means that, less large squares will be needed to cover more areas compared to other sizes of the squares.
Take for instance, the following analysis;
Large square
Dimension: 3 by 3;
[tex]Area=3*3 = 9[/tex]
Medium Square
Dimension: 2 by 2
[tex]Area = 2 * 2 = 4[/tex]
Small square
Dimension: 1 by 1
[tex]Area = 1 * 1 = 1[/tex]
The square with the largest area covers more of the plane.
Hence, the large square covers more of the plane
Write an algebraic inequality. A number increased by three is less than twice that number.
Find the area of a circle with radius, r = 6.5m . Give your answer rounded to 2 DP
Answer:
A ≈ 132.73 m²
General Formulas and Concepts:
Symbols
π (pi) ≈ 3.14Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Area of a Circle Formula: A = πr²
r is radiusStep-by-step explanation:
Step 1: Define
Identify variables
r = 6.5 m
Step 2: Find Area
Substitute in variables [Area of a Circle Formula]: A = (3.14)(6.5 m)²Evaluate exponents: A = (3.14)(42.25 m²)Multiply: A = 132.732 m²Round: A ≈ 132.73 m²Find the surface area of a cylinder that has the following information:
Height = 30 cm
Diameter = 10 cm
Answer:
[tex]A=1099.56cm^{2}[/tex]
Step-by-step explanation:
Formula to ind surface area of cylinder:
[tex]A=2\pi \frac{d}{2} h+2\pi (\frac{d}{2} )^{2}[/tex]
[tex]A=2\pi \frac{10}{2} (30)+2\pi (\frac{10}{2} )^{2}[/tex]
[tex]A=1099.557443cm^{2}[/tex]
Therefore, area will be:
[tex]A=1099.56cm^{2}[/tex]
hope this helps :)
Factor the expression. b2 + 7b − 18
Use substitution to solve the
following system of equations.
-3x + 2y = 5 AND x = 2y - 3
Step-by-step explanation:
everything can be found in the picture
Find the slope that passes through 9,7 and 2,4
Answer:
slope is 3/7
Step-by-step explanation:
use the formula y2 - y1 / x2 - x1
Each lap around the track at Lincoln Community Center is 400 meters long. Levi ran a total of 1,600 meters as a warm-up before his workout. Let w be the number of laps Levi ran around the track as a warm-up. Write and solve an equation to find w.
Answer:
Step-by-step explanation:
The solution is 4 laps
The number of laps ran by Levi is given by the equation w = 4 laps
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of laps ran by Levi be represented as w
Now , the equation will be
The total length of a lap = 400 m
The total length ran by Levi = 1600 m
So ,
The number of laps w ran by Levi = total length ran by Levi / total length of a lap
Substituting the values in the equation , we get
The number of laps ran by Levi w = 1600 / 400
On simplifying the equation , we get
The number of laps ran by Levi w = 4 laps
Therefore , the value of w is 4 laps
Hence , the number of laps is 4 laps
To learn more about equations click :
https://brainly.com/question/19297665
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3{4-2(3+4)} solve and show your work
Answer:
Step-by-step explanation:
You could start by using pemdas which start with parentheses so since 3+4 is in parentheses add those first and you'll get 7 then solve the remaining 4-2 in the bracket so 4-2 is 2. Since there is no plus sign you multiply 7 by 2 then multiply by three so 7x2 is 14 then 14x3 is 42 so your answer Is 42
Mario can eat 21 hot dogs in 6 minutes. At the same place, how many minutes would it take him to eat 35 hot dogs?
Answer:
10 minutes
Step-by-step explanation:
Mario can eat e21 hot dog in 6 minutes
Let 35 hot dog eats in x minutes :
[tex]\frac{35}{x} =\frac{21}{6} \\x=\frac{35(6)}{21} \\x=10 min[/tex]
Therefore, mario would eat 35 dogs in 10 min.
A rectangular football field is 64 meters wide and 100 maters long. A player runs from one corner of the field in a diagonal line to the opposite corner. How far did the player run?
Answer:
119 or 118.726577
Step-by-step explanation:
We should use the Pythagorean Theorem to solve this problem.
a^2+ b^2=c^2
64^2+100^2=c^2
4096+10000=14096
c^2=14096
c=\sqrt{14096}14096
And the root of 14096 is 118.726577.
So the Answer is About 119 meters, or 118.726577
hope this helps!
Can some hepl I divide 2 by 2 I give brainiest
Answer:
1
Step-by-step explanation:
2÷2=1
Which equation could be represented by the number line?
A. 3+ (-4) = -1
B. -3 + 4 = 1
C. 1 + (-5) = -4
D. -4 + 5 = 1
9514 1404 393
Answer:
A. 3+ (-4) = -1
Step-by-step explanation:
The arrow indicates a subtraction of 4, or an addition of -4. The only equation containing such a subtraction or addition is choice A.
2 x10^14/8x10^9
How do you solve
Answer:
Step-by-step explanation:
[tex]\frac{2*10^{14}}{8*10^{9}}=\frac{1}{4}*10^{14-9}=\frac{1}{4}*10^{5}\\\\\\\frac{a^{m}}{a^{n}}=a^{m-n}\\\\[/tex]
In exponent division , if bases are same, then find the difference of the exponents
if x=8 and y=-3 evaluate 7(2x-3y)
Answer:
175
Step-by-step explanation:
7(2x-3y)
Let x = 8 and y = -3
7(2*8-3 (-3))
Inside parentheses first
7(16+9)
Add inside the parentheses
7(25)
Multiply
175
A Jar contains five red marbles and three green marble. A marble is drawn at random and not replaced. A second marble is
then drawn form the jar
find the probability that both marbles are red
Answer:
20/56 or 5/14
Step-by-step explanation:
Prob of red = 5/8
Second red prob = 4/7
multiply those = 20/56
simplify if needed = 5/14
2(x-7)<-12
Help!! I need this for my math
Answer:
x < 1
Step-by-step explanation:
2(x-7)<-12
Divide by 2
2(x-7)/2<-12/2
x-7 < -6
Add 7 to each side
x-7+7 < -6+7
x < 1
