what is 4 1/9 + 8 2/3 as a fraction or as a whole or a mixed number?
Answer:
13 7/9
Step-by-step explanation:
You have two mixed numbers right now, so the first step to take would be to add the integers 4 and 8 since those numbers are limited by fractions (1/9 and 2/3 are limited as fractions). This would equal 13, and now you can move on to the fractions 1/9 and 2/3. In order to add those, you will have to find the LCM or the least common multiple, which in this case is 9 since 3 is a multiple of 9 (and 9 is obviously a multiple of 9). Knowing, you would have to convert the 2/3 into something ___/9, which would be 6/9. Adding those two together would result in 7/9. Combine that with the integer 13, and you have 13 7/9. Hope this helps!
If 20 articles cost ₹ 90, then the cost of 9 articles is
Answer:
₹ 40.50
Step-by-step explanation:
Cost of 20 articles = ₹ 90
Cost of 1 article = ₹ 90/20
Cost of 9 article = 9 x 90/20 = ₹ 40.50
Brenda walked a distance represented by the expression 5(2y + 4). It is 5 times the
distance John walked. Interpret the expression 2y + 4 and identify the correct choice.
Answer:
Option DStep-by-step explanation:
Let the distance Brenda walked is B and distance John walked is J.
We have
B = 5Jand
B = 5(2y + 4)Comparing the two equations we see
J = 2y + 4It means 2y + 4 is the distance walked by John
Correct answer choice is D
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Mark Wolfman is the director of safety at Waterworld. He needs to order a new wire for the tallest tower in the park. One end of the wire is attached to the top of the tower and the other end is attached to stake in the ground that is 44 feet away from the base of the tower. The wire makes a 78 degree angle with the flat ground. How much wire will he need?
Answer: Approximately 211.628311 feet of wire is needed
==========================================================
Explanation:
Draw out a right triangle with 44 as the horizontal component. The angle 78 is the angle of elevation right next to the horizontal side.
Let x be the length of the wire needed. This is the hypotenuse of the triangle.
Use the cosine ratio to say the following:
cos(angle) = adjacent/hypotenuse
cos(78) = 44/x
x*cos(78) = 44
x = 44/cos(78)
x = 211.628311 feet approximately
Round this value however you need to.
Answer:
211.63 ft (nearest hundredth)
Step-by-step explanation:
**Refer to the attached diagram**
We need to find the hypotenuse of the right triangle.
To do this, we should use the cos trig ratio:
[tex]\sf cos(\theta)=\dfrac{A}{H}[/tex]
where:
[tex]\theta[/tex] is the angleA is the side adjacent to the angleH is the hypotenuseGiven:
[tex]\theta[/tex] = 78°A = 44 ftH = wSubstitute given values into the equation and solve for w:
[tex]\sf \implies cos(78)=\dfrac{44}{w}[/tex]
[tex]\sf \implies w=\dfrac{44}{cos(78)}[/tex]
[tex]\sf \implies w=211.6283112[/tex]
Therefore, the length of wire needed is 211.63 ft (nearest hundredth)
if x+y = -10 and x-y = 2 what is the value of x
Answer:
x= -4
Step-by-step explanation:
adding the two equations,
x+x+y-y=-10+2
2x= -8
x=-4
Is this statement true or false in the ordered pair (4,3) the y coordinate is 4
please help explain how to solve this
Answer:
C
Step-by-step explanation:
When I input the x value of -2 as shown in the first box of the x&y table the only equation that gave me the correct y was C so I suggest in future problems going in and to input an x value given by the table so that way you can see if it will match up with the corresponding y value
What is the smallest number which is reversed when 2 is added to its double?
Answer:
We know that to reverse a number, we should swap the numbers in TENS and ONES position. Therefore, the general form of its reverse 'ba' is (10 \times b) + a. Let us try to find the sum of both these numbers. Therefore, the sum of two-digit numbers and their reverse is always a multiple of 11.
Step-by-step explanation:
#carryonlearning
Brainlest me please
Prove: AB/CD =AC/CD
Check out the other post with this question to understand it fully.
Answer:
Step-by-step explanation:
Help help help help math math
5
Solution:First, n*7 can be written as 7n.Then, 7*5 is equivalent to 35.So we have7n=35In order to find the value of n, we need to divide both sides by 7:n=5Hope it helps.
Do comment if you have any query.
Use the order of operations to find the value of the expression.
2
+
3
×
16
−
2
×
21
−
3
A.
5
B.
14
C.
35
D.
44
Using the order of operations to find the value of the expression, we have; A. 5
How to carry out order of operations?We want to use order of operations to solve the problem;
2 + 3 × 16 − 2 × 21 − 3
Now, the order is called BODMAS which means;
Bracket, Of, Division, Multiplication, Addition, Subtraction.
From the order above and looking at our question, we will first carry out multiplication to get;
2 + 48 - 42 - 3
Next is addition to get;
50 - 42 - 3 = 5
Read more about Order of operations at; https://brainly.com/question/16788360
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Nine is 2% of what number?
Answer:
450
Step-by-step explanation:
9=1/50 times x
x=450
10. You pay $45.50 for 10 gallons of gasoline and 2 quarts of oil at a gas station. Your friend pays $14.75
for 3 gallons of same gasoline and 1 quart of the same oil. Write and solve the system of equation to find
the price of 1 gallon of gas and 1 quart of oil.
I
Answer:
0=0 (true)
Step-by-step explanation:
You: 10x+2y=45.50
Friend:
5x+y=22.75
*multiply by 2
10x+2y=45.50
now you subtract both equation...
10x+2y-10x-2y=45.50-45.50
0=0
What is the mode of the data set? 78, 82, 91, 78, 92, 77, 80, 74, 81
A. 92
B. 78
C. 85.5
D. 77
Answer: B
Answer:
B. 78
Step-by-step explanation:
78 It is the most frequent data (2)
Hope this helps
how many 10 Kobo stamps can I buy with 40 naira
Answer:
What is a kobo stemp
Step-by-step explanation:
HELPPP PLS .
A cube is 10 inches tall. What is the width of the cube ?
Answer:
Width = 10 inches
Step-by-step explanation:
A cube is a six-sided shape where each side consists of a square. Since the length of a square is the same measure of the width, then the cube will "work the same way", and the length, width, and height of the cube will all be the same length.
which is greater 1.59 or 1.6
Answer:
1.6 is greater than 1.59
Step-by-step explanation:
It goes. 1.5 -> 1.51 -> 1.52.... -> 1.58 -> 1.59 -> 1.6 -> 1.61...
Bus A travels according to the function y = 125/2x where y is distance traveled in miles and x is time in hours. Bus B travels according to the graph below, where the distance y is a function of time x. Which bus travels faster. we Include all necessary calculations in your final answer.
Answer:
Bus B
Step-by-step explanation:
For both buses, the slope is the speed.
Bus A: y = 125/2 x
m = 125/2 = 62.5
Bus A travels at 62.5 mph
For Bus B, wee look at the graph.
When x = 3, y = 200.
m = 200/3 = 66.666...
Bus B travels at 66.7 mph
Answer: Bus B
Which function is the inverse of f(x) = -5x -4?
Answer:
f−1(x)=x5+45
Step-by-step explanation:
Calculate the perimeter of the following figure.
11 inches
4 inches
3 inches
4 inches
7 inches
Answer:
29 inches
Step-by-step explanation:
add all the sides
11+4+3+4+7=29
Answer:
29 inches
Step-by-step explanation:
⇒ Perimeter = Sum of the lengths of the sides
⇒ P = 11 + 4 + 3 + 4 + 7
⇒ P = 18 + 11
⇒ P = 29 inches
A tennis racquet bought for €95 was then sold for €132. Find the profit as a percentage of the cost
price.
Answer:
38.95%
Step-by-step explanation:
profit%= profit/cost price ×100
37/95×100
0.38×100
profit%=38.95
-10 x 4 =
-21 x 5=
-20 x 9=
-199 x 1=
Answer:
•SEE ABOVE ATTACHMENT•HOPE IT HELPS!
MARK AS BRAINLIAST.
Answer:
-10 x 4 = -40
-21 x 5 = -105
-20 x 9 = -180
-199 X 1 = -199
What is the equation of the line that passes through the point (4,1) and has a slope
of 1/2
Step-by-step explanation:
the typical line equation :
y = ax + b
with "a" being the slope, and b being the y-intercept (the y value when x = 0).
so, the equation starts
y = 1/2 x + b
to get b we use the given point coordinates :
1 = 1/2 × 4 + b = 2 + b
-1 = b
and the whole equation is
y = 1/2 x - 1
Question 1
1 pts
A private parking lot in downtown Philadelphia is being built. It's 120' long by 75' wide. To put a
fence around it, the construction company will need at least 390' of fencing material. True or false?
We will see that the perimeter of the rectangle is exactly 390 ft, so the statement is true.
Is the fence enough?
For a rectangle of length L and width W, the perimeter is given by:
P = 2*(L + W).
In this case, we know that:
L = 120 ft
W = 75 ft
Replacing that on the perimeter equation we get:
P = 2*(120 ft + 75 ft) = 390 ft
So the perimeter is exactly 390 ft, meaning that to put a fence around the parking lot the company will need at least 390 ft of fence.
So the statement is correct.
If you want to learn more about perimeters, you can read:
https://brainly.com/question/24571594
2. What is the x-intercept of the line that passes
through the point (-5,-9) and has a slope of 3?
A. (2,0)
B. (-2,0)
C. (6,0)
D. (-6,0)
Answer:
Step-by-step explanation:
hello :
an equation for the line is : y=ax+b when a is the slope
so : a= 3 y =3x+b
passes
through the point (-5,-9) x=-5 y= -9 means ; -9 =3(-5)+b so: b=6
conclusion : y=3x+6
Answer: B because y=0 3x+6 =0 3x =-6 x= -2
If Madeline has one week to read 1293 pages of a book and if she wants to split her reading equally each day how many pages will she need to read each day in order to finish
Answer:
184 5/7 pages
Step-by-step explanation:
There are 7 days in a week. If Madeline wants to read equal portions of the book each day, each of those portions must be 1/7 of the book, or ...
1/7 × 1293 pages = 184 5/7 pages
Madeline will need to read 184 5/7 pages each day in order to finish.
1. Analiza cada problema y realiza su diagrama.
a. En sus vacaciones, los 25 alumnos de cuarto grado "C", decidieron ir de viaje. A
Paracas (P) fueron 10, a Arequipa (A) viajaron 15 y a los dos lugares fueron 7.
Los demás alumnos se fueron a Chosica.
Diagramar:
w
Completar:
POA={ }
PUA = {
}
Invitamos cordialmente a leer el desarrollo del problema para mayor detalle sobre el análisis de la situación y la construcción del diagrama.
Cómo construir un diagrama a partir de un enunciado
En esta pregunta debemos elaborar un diagrama de flujo, puesto que el enunciado muestra de manera evidente una clasificación de los viajeros según las ciudades de destino.
Nótese que se trata de un diagrama bastante simple, dado que no existe evidencia de jerarquización entre las ciudades mencionadas.
Tras una lectura cuidadosa del enunciado encontramos que de 25 estudiantes de cuarto grado "C" que decidieron irse de viaje, 10 viajaron a Paracas, 15 viajaron a Arequipa, 7 viajaron a los dos lugares citados y 3 viajaron a Chosica.
A continuación, presentamos el diagrama de flujo asociado a este caso en la imagen adjunta abajo.
Para aprender más sobre diagramas, invitamos cordialmente a ver esta pregunta verificada: https://brainly.com/question/10092453
The study of the organization and collection of data is known as A. mathology B. mathematics C. statology D. statistics
Answer:
the answer is D
Step-by-step explanation:
PLSSS HELP
State the equation of the exponential function that has the
following features. (2 marks)
• It has the x-axis as an asymptote.
• It passes through (0,—i), (—1,—3), and (—2,—9).
An exponential function that has the x-axis as an asymptote, and It passes through (0,—i), (—1,—3), and (—2,—9) is y=-(1/3)ˣ.
What is an exponential function?Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.
The exponential function with dependent variable y and independent variable x can be written as,
[tex]y=ab^x[/tex]
Here, x is the variable in the power of a number.
State the equation of the exponential function that has the following features.
It has the x-axis as an asymptote.It passes through (0,—1), (—1,—3), and (—2,—9). For the point (0,-1)[tex]-1=ab^{(0)}\\-1=a\times1\\a=-1[/tex]
For the point (-1,-3)
[tex]-3=ab^{(-1)}\\-3=\dfrac{a}{b}\\[/tex]
Put, the value of -1 in the above equation,
[tex]-3=\dfrac{-1}{b}\\b=\dfrac{1}{3}[/tex]
Thus, the exponential function,
[tex]y=-1(\dfrac{1}{3})^x\\y=-\left (\dfrac{1}{3}\right)^x[/tex]
Hence, an exponential function that has the x-axis as an asymptote and It passes through (0,—i), (—1,—3), and (—2,—9) is y=-(1/3)ˣ.
Learn more about the exponential function here;
https://brainly.com/question/15602982
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Find the distance between the two points in simplest radical form.
(9,-1,) and (3,3)
x1 = 9, x2 = 3
y1 = -1, y2 = 3
By using Distance formula[tex] \sqrt{ {(x2 - x1) + (y2 - y1)}^{2} } \\ \\ \sqrt{ {(3 - 9)^{2} + (3 - ( - 1))}^{2} } \\ \\ \sqrt{ {( - 6)}^{2} + {(4)}^{2} } \\ \\ \sqrt{ 36 + 16 } \\ \\ \sqrt{52} \\ \\ 7.21 \: units[/tex]
Hope it helps