Answer:
[tex]\frac{9}{39}[/tex]
Step-by-step explanation:
Multiply the two denominators together and the two numerators:
[tex]\frac{8}{13} * \frac{2}{6} = \frac{8 * 2}{13 * 6}[/tex]
[tex]= \frac{16}{78}[/tex]
Divide both numbers by two to simplify:
[tex]\frac{18 / 2}{78 / 2} = \frac{9}{39}[/tex]
So the simplest form is:
[tex]\frac{9}{39}[/tex]
Hope this helps!
[tex]\frac{1}{1+\sqrt{2} } +\frac{1}{\sqrt{2} +\sqrt{3} } +...+\frac{1}{\sqrt{99} +\sqrt{100} }[/tex]
Answer:
9
Step-by-step explanation:
the given expression can be re-written:
[tex]\frac{\sqrt{2} -1}{(\sqrt{2}-1)(\sqrt{2}+1)} +\frac{\sqrt{3} -\sqrt{2}}{(\sqrt{3} +\sqrt{2})(\sqrt{3} -\sqrt{2})} + ...+\frac{\sqrt{100} -\sqrt{99}}{(\sqrt{100} -\sqrt{99})(\sqrt{100} +\sqrt{99})};[/tex]
then
[tex]\sqrt{2} -1+\sqrt{3} -\sqrt{2} +\sqrt{4} -\sqrt{3}+\sqrt{5} -\sqrt{4}+...+\sqrt{100}-\sqrt{99}= -1+\sqrt{100}=9.[/tex]
Problem:
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On Tuesday, a radio store reduces all of its prices by 20% from what they were on Monday.
On Wednesday, the store again reduces all of its prices by some percentage from what they were on Tuesday. If the resulting price of a radio is half of the original Monday price,
then by what percentage did the store reduce its prices from Tuesday to Wednesday?
Answer/Step-by-step explanation:
Call Monday's price, P
Tuesday's price must just be .80P [ 20% reduction]
Call Wednesday's price reduction ( 1 - R)
So...we have that
Tuesday's price * Wednesday's reduction = (1/2)P
(.80)P *( 1 - R) = (1/2)P divide through by P and note that 1/2 = .50
.80 (1 - R) = .50 divide both sides by .80
1 - R = .50/.80
1 - R = 5/8
1 - 5/8 = R
3/8 = R = .375 = 37.5% = the reduction from Tues. to Wed.
Proof of this...let Monday's price = 100
Tuesdays price = .80 * 100 = 80
Wed price = 80 (1 - R) = 80 (1 - .375) = 50 = half of Mon. price
chứng minh: x(4+1/3*x+48)=1440
Step-by-step explanation:
1
3 x2+52x=1440
Step 2: Subtract 1440 from both sides.
1
3 x2+52x−1440=1440−1440
1
3 x2+52x−1440=0
For this equation: a=0.3333333333333333, b=52, c=-1440
0.333333x2+52x+−1440=0
Step 3: Use quadratic formula with a=0.3333333333333333, b=52, c=-1440.
x=
−b±√b2−4ac
2a
x=
−(52)±√(52)2−4(0.333333)(−1440)
2(0.333333)
x=
−52±√4624
0.6666666666666666
x=24,−180
Answer:
x=24,−180
What does m equal and what is the slope
Answer:
The slope (m) = 2/3
Step-by-step explanation:
Taking any two points on the line:
(0,-2) & (3,0)
Using the slope formula to calculate the slope (m):
m = [tex]\frac{y2-y1}{x2-x1}[/tex]
= (0-(-2))/(3-0)
= (0+2)/3
= 2/3
Hence, the slope (m) is 2/3.
Hope this helps and be sure to have a wonderful time ahead at Brainly! :D
[tex]\bf x-17=-25[/tex]
[tex] \green{ \rule{50cm}{0.01cm}}[/tex]
[tex] \red{ \rule{50cm}{0.01cm}}[/tex]
[tex] \green{ \rule{50cm}{0.01cm}}[/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The value of x is :
[tex] - 8[/tex][tex] \large \boxed{ \mathfrak{Explanation}}[/tex]
let's solve ~
[tex]x - 17 = - 25[/tex][tex]x = - 25 + 17[/tex][tex]x = - 8[/tex][tex] \green{ \rule{50cm}{0.01cm}}[/tex]
[tex] \red{ \rule{50cm}{0.01cm}}[/tex]
[tex] \green{ \rule{50cm}{0.01cm}}[/tex]
what quadrant is 4,6 in?
Answer:
1st quadrant
5x-10=20
Would the answer be 6
________
[tex] \: [/tex]
5x - 10 = 20
5x = 20 + 10
5x = 30
x = 30 ÷ 5
x = 6✔
6 friends go strawberry picking. They pick 30 strawberries on Friday and 12 strawberries on Saturday. How many strawberries dose each person get?
Como parte de un ejercicio topográfico, Salma debe hacer un registro del terreno donde está construido el Taj Mahal que es de 580m de largo x 300m de ancho. Y suponiendo que 9 ayudantes trabajarán junto con ella, ¿cuántos metros cuadrados le toca registrar a cada quién POR DÍA durante un mes? Supongamos que el mes tiene 30 días.
cual es la respuesta? porfa urge
Queremos ver cuantos metros cuadrados debe registrar cada integrante del grupo por día.
Veremos que cada integrante debe registrar 580m^2 por día.
La informacion que se nos da es:
Sabemos que los integrantes son 10, Salma y sus 9 ayudantes.El área que deben investigar esta dada por: 580m*300m = 174,000 m^2Disponen de un total de 30 días para trabajar.Conociendo el área y el número de integrantes, el área que le tocara a cada integrante está dada por:
a = 174,000 m^2/10 = 17,400 m^2
Y sabemos que tendran 30 días para registrar esa área, entonces asumiendo que en cada día registran una cantidad fija de superficie, lo que deben registrar cada día está dado por:
d = a/30 = 17,400 m^2/30 = 580m^2
Eso es lo que cada integrante debe registrar por día,
Sí quieres aprender más, puedes leer:
https://brainly.com/question/16512349
On an escalator, you move 2 feet vertically for every 3 feet you move horizontally. When you reach the top of the escalator, you have moved a horizontal distance of 90 feet. Find the height of the escalator.
The height of the escalator is as calculated using trigonometric ratios.
We know that in a right angled triangle the trigonometric ratios are
tan θ = perpendicular ÷ base
For a right angled triangle the tanθ is defined as the ratio of the perpendicular to the base of the triangle . The side opposite the angle θ is the perpendicular and the side adjacent to the θ is the base .
Now it is given that for every 2 feet vertically moved the horizontal distance moved is 3 feet.
Now using the trigonometric ratio of tanθ
tan θ = 2 / 3
Now we will use this ratio to calculate the vertical height for horizontal movement of 90 feet .
Now, the height is given as h .
∴ tan θ = h / 90
or, 2 / 3 = h / 90
or, h = 60 feet
Therefore the height of the escalator is 60 feet.
To learn more about trigonometric ratios visit:
https://brainly.com/question/1201366
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if a dog eats 20\21kilograms of food per day. How many kilograms will the dog it in the month of august
Answer:
620 to 651
Step-by-step explanation:
21x31=651
210x31=620
Step-by-step explanation:
if a dog eats 20\21kilograms of food per day. How many kilograms will the dog it in the month of august
august has 31 day's so
20/21×31=
=29.524
Selesaikan persamaan linear serentak berikut.
2x + y = -5
3x - 4y = 9
Answer:
(-1;-3)
Step-by-step explanation:
[tex]\left \{ {{4(2x+y)=4*(-5)} \atop {3x-4y=9}} \right. \ => \ \left \{ {{8x+4y=-20} \atop {3x-4y=9}} \right. \ => \ \left \{ {{11x=-11} \atop {2x+y=-5}} \right. \ => \ \left \{ {{x=-1} \atop {y=-3}} \right.[/tex]
What is y-b=ms, solving for b?
Answer:
b=y-ms
Step-by-step explanation:
Subtract y from both sides,
-b=ms-y
Divide through by -1,
b=-ms+y
Rearrange the equation.
b=y-ms
Help me please
Increase 55 by 137%
Answer:
75.35
Step-by-step explanation:
55 (1.37) = 75.35
What is an
equation of the line that passes through the points (3, 1) and (4,4)?
Answer:
y=-5x+16
Step-by-step explanation:
guys pls help me!!!!!!
Answer:
126°
Step-by-step explanation:
1. We know that 54 degrees and its adjacent are a linear pair, meaning that they add up to 180 degrees. To find the measure of the adjacent angle, we subtract 54 from 180.
[tex]180 - 54[/tex] [tex]126[/tex]2. Now, we know that adjacent of 54 is 126. Also, we know that [tex]l[/tex] ║ [tex]m[/tex] ║ n, and x and 126 degrees are corresponding angles. Corresponding angles are congruent within angle measures, so x = 126 degrees.
Help me please Asap
Answer:
it is the last one {-4, -1, 0, 1, 2}
Step-by-step explanation:
There are 35 boys in 6th grade. The number of girls in 6th grade is 40. Emma says that means the ratio of the number of boys in 6th grade to the number of girls in 6th grade is 3:4. Is Emma correct? If not, what is the correct answer? it is the answer
correct ratio
7:8
5:8
8:7
Answer:
The correct ratio is 7:8, so no, Emma is not correct.
Hello cayleahm253!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
There are 35 boys in 6th grade. The number of girls in 6th grade is 40. Emma says that means the ratio of the number of boys in 6th grade to the number of girls in 6th grade is 3:4. Is Emma correct? If not, what is the correct answer?
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
Okay, so we can see from the question that there are 35 boys & 40 girls in the 6th grade. So the ratio of boys is to girls will be 35:40.
__________________
Solving...
[tex]35 : 40 \\ = \frac{35}{40} \\ \\ \sf \: Cancel \: out \: 35 \: and \: 40 \: to \: get \: 7 \: and \: 8.\\ \\ = \frac{7}{8} \\ = \huge \boxed{\boxed{\bf \: 7 : 8}}[/tex]
__________________
So, the correct ratio is not 3:4. Instead it's 7:8.__________________
Hope it'll help you ッ
ℓucαzz
a contractor is given a scale drawing of a rectangular patio. the scale from the patio to the drawing is 4 feet to 1 inch. what is the area of the actual patio?
Proportions: If 7.5 cups sugar to make 14 dozen cookies, find K please
Answer:
8987678
Step-by-step explanation:
- (05.03)
An equation is shown below:
3/2x+ 7/2=2^x
What is the solution to the equation? (4 points)
x = 1
x = 3
x = 5
X = 8
Answer: x = 3
Step-by-step explanation:
Sharon called 4 friends on Friday. On Saturday, each of those 4 friends called 4 different friends. On Sunday, each person who was called on Saturday called 4 different people.
Answer:
it [tex]4^{3}[/tex]
Step-by-step explanation:
i took a test
Perform the operation. Enter your answer in scientific notation.
9 x 10^*8-5.3 x 10^*8=
Answer:
Not a possible math equation, sorry.
which statements are true ? —4 < — 1
2 < —4
—4 = 4
— 1 < 4
Answer:
-4<-1 and -1<4
Step-by-step explanation:
Which of the following can be used to solve for X
• Sine
•cosine
•tangent
•inverse sine
•inverse cosine
•inverse tangent
Solve for X
_________
Step-by-step explanation:
Sine
Here is a list of numbers:
1.9, 0.1, 7.7, 6.8, 6, 7, 7.8, 2.8, 6.9, 3.5
State the median.
Give your answer as a decimal.
Answer:
So I added, 1.9, 0.1, 7.7, 6.8, 6, 7, 7.8, 2.8, 6.9, 3.5, which equals 50.5.
Then, I divided 50.5 by 9 since that is how many number sections there are.
Therefore, I get 5.61.
Can someone please help
Answer:
<ABC = 70 degrees
<AMC = 60 degrees
< AMB = 60 degrees
Step-by-step explanation:
<ABC = 180-110 = 70 degrees
<AMC = 2x + 60 = 180
2x = 180 - 60
x = 120/2
x = 60
<AMB = 180/3 = 60
6x — 5y = 15
x = y + 3
х =
y =
Replace all occurrences of x with y + 3 in each equation.
Replace all occurences of x in 6x - 5y = 15 with y + 3.
6 (y+3) -5y = 15
x = y + 3
Simplify 6 (y + 3) - 5y.
Simplify each term.
Apply the distributive property.
6y + 6 · 3 - 5y = 15
x = y + 3
Multiply 6 by 3.
6y + 18 - 5y = 15
x = y + 3
Subtract 5y from 6y.
y + 18 = 15
x = y + 3
Move all terms not containing y to the right side of the equation.
Subtract 18 from both sides of the equation.
y = 15 - 18
x = y + 3
Subtract 18 from 15.
y = -3
x = y + 3
Replace all occurences with y with -3 in each equation.
Replace all occurences of y in x = y + 3 with -3.
x = (-3) + 3
y = -3
Add -3 and 3.
x = 0
y = -3
The solution to the system is the complete set of ordered pairs that are valid solutions.
(0,-3)
The result can be shown in multiple forms.
Point Form:
(0,-3)
Equation Form:
x = 0, y = -3
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The required values are :
[tex]x = 0[/tex][tex]y = - 3[/tex]Refer to the attachment for solution ~
Simplify (5 +3i)+(-7-4i)
Which function represents the graph below?
Answer:
b
Step-by-step explanation:
Since it intercepts y at 4, and x at 2, we use y=ax+b and rearrange to get the equation from y=2x+4 to 2x-y=-4
Answer:
b) 2x - y = -4
Step-by-step explanation:
The y-intercept is the y-coordinate of the point (0, b) where the graph crosses the y-axis. It is also the value of y when x = 0.
The crosses the y-axis at point (0, 4). Therefore, the y-intercept, b = 4.
Next, we need to determine which of the given options matches the graph. It helps to transform each of them into their slope-intercept form, y = mx +b:
a) 2x + y = 42x - 2x + y = - 2x + 4
y = -2x + 4 (This is not the correct answer because the slope, m = -2. The given graph has a positive slope).
b) 2x - y = - 42x - 2x - y = - 2x - 4
-y = -2x - 4
Divide both sides by -1:
[tex]\frac{-y}{-1} = \frac{-2x - 4}{-1}[/tex]
y = 2x + 4 This is the correct answer because it matches the y-intercept (0, 4), and has a positive slope of 2.
We could easily disregard the last two options because both of their y-intercept is 0.
Therefore, the correct answer is Option b) 2x - y = - 4