The simplest form of the ratio of red to black balls is 4:3.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
Number of red balls = 16
Number of black balls = 12
The ratio of red to black balls.
= 16/12
= 4/3
Thus,
The ratio of red to black balls is 4:3.
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james went out for a long walk . He walked 3 2/5 of the mile. then he sat down to take rest . After that he walked 5/7 of a mile. how far did he walk together
Answer:
Altogether James walked [tex]4\frac{4}{35}[/tex] miles.
Step-by-step explanation:
The question involves mixed fractions. Mixed fractions are first converted into proper fractions and then any operation can be performed on them.
Given
Distance of first walk = [tex]3\frac{2}{5}[/tex] of a mile
Distance of second walk = 5/7
In order to find how much he walked altogether, we have to find the sum of both fractions.
[tex]Total\ distance = 3\frac{2}{5}+\frac{5}{7}\\= \frac{17}{5}+\frac{5}{7}\\=\frac{17*7}{5*7} + \frac{5*5}{7*5}\\=\frac{119}{35} + \frac{25}{35}\\=\frac{119+25}{35}\\=\frac{144}{35}\\=4\frac{4}{35}[/tex]
Hence,
Altogether James walked [tex]4\frac{4}{35}[/tex] miles.
An airplane flying with the wind takes 2 hours to travel a distance of 360 miles.
The return trip takes 3 hours flying against the wind.
What is the speed of the airplane in still air and how fast is the wind blowing?
Answer: still air is 150mph. The wind speed is 30mph.
Step-by-step explanation:
X=speed of the plane, Y=speed of the wind.
360/2hours=180
360/3hours=120
2x=180+120
2x=300
X=150
The airplane in still air is 150mph
Add together
X+y=180
150+y=180
Y=180-150
Y=30mph
The wind speed is 30mph
PLEASE PLEASE HELP!!!!
Answer:
It's A or B but I think B
Step-by-step explanation:
anyone give me a hand with this question
If f(x) = 3x + 2, what is f(5)?
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[tex]f(x) = 3x + 2[/tex]
[tex]f(5) = 3(5) + 2[/tex]
[tex]f(5) = 15 + 2[/tex]
[tex]f(5) = 17[/tex]
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Solve the system of equation using any method.
Y=4x-9
Y=x-3
y=4x-9
y=x-3
-4x + y = -9
-x +y = -3 //-1
-4x + y = -9
x - y = 3
---------------------
-3x = -6
x = 2
y = 2-3
y = -1
Answer:
(2, -1)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
y = 4x - 9
y = x - 3
Step 2: Solve for x
Substitute in y: 4x - 9 = x - 3Subtract x on both sides: 3x - 9 = -3Add 9 to both sides: 3x = 6Divide 3 on both sides: x = 2Step 3: Solve for y
Define: y = x - 3Substitute in x: y = 2 - 3Subtract: y = -1Kevin has 2/5 of a pound of candy. 3/10 of the candy is chocolate. How many pounds of chocolate does he have?
Please help me ASAP.
Answer:
y=3x+10
Step-by-step explanation:
m=y2-y1/x2-x1
-5-7=(-12)
3-(-1)=4
-12/4=3
y=3x+b
7=3(-1)+b
3*-1=(-3)
-3(-3)=0
7-(-3)=10
b=10
hope this helps :3
if it did pls mark brainliest
Evaluate x=2
F(x)=2x+4
Help !!!
Cupcakes can be placed in boxes that hold 12, 8, or 6 cakes when full. What is the least number of cupcakes a baker needs to bake so that he can package them in anyone of the three different size boxes without any remaining?
Answer:
um just use a Calculator
Step-by-step explanation:
LOL sry I'm tired I would help
Answer:
i thnk the answer is 26
Step-by-step explanation:
32^(x+4) = 64^(2x-1)
Answer:
Vamos a resolver la ecuación paso a paso.
32x+4=642x−1
Step-by-step explanation:
Resolver el exponente.
32x+4=642x−1
log(32x+4)=log(642x−1)(Sacar el logaritmo de ambos lados.)
(x+4)*(log(32))=(2x−1)*(log(64))
x+4=(
log(64)
log(32)
)*(2x−1)
x+4=1.2*(2x−1)
x+4=2.4x−1.2(Simplificar ambos lados de la ecuación)
x+4−2.4x=2.4x−1.2−2.4x(Restar 2.4x a ambos lados)
−1.4x+4=−1.2
−1.4x+4−4=−1.2−4(Restar 4 a ambos lados)
−1.4x=−5.2
−1.4x
−1.4
=
−5.2
−1.4
(Dividir ambos lados por -1.4)
x=3.714286
Solución:
x=3.714286
Suppose that the halflife of a substance is 250 years . If there were ir 100 the substance , (a) give an exponential model for the situation, and (b) how much wil years?
can anyone answer this please:(
A triangle has side lengths of 15 millimeters, 10 millimeters, and 13 millimeters. What kind of triangle is it?
Answer:The triangle is acute
Step-by-step explanation:
Answer:
acute
Step-by-step explanation:
What is the equation of this line in Slope intercept Form?
Answer:
y = x - 5
Step-by-step explanation:
A town's population increases in one year from 50,000 to 62,000. If the population is growing linearly, at a steady rate, then what will the population be at the end of a second year?
Answer:
74,000
Step-by-step explanation:
subtracted 62,000 -50,000
difference is 12,000 add it to 62,000 then you get ur answer sorry if I'm wrong
Exercise 3.29. In a school there are four kindergarten classes, with 21, 24, 17 and 28 students. We choose one of the 90 kindergarten students randomly, and denote the number of students in her class by X. Find the expectation and variance of X.
Answer:
Expected mean = 23.2159
Variance = 15.89
Step-by-step explanation:
Given that :
Number of kindergarten students (X) :
21 + 24 + 17 + 28 = 90
P(X):
21/ 90 = 0.233
24/90 = 0.2667
17/90 = 0.1889
28/90 = 0.3111
X : ____ 21 ____24 _____ 17 ______ 28
P(x) : _ 0.233 _ 0.2667 __ 0.1889 __ 0.3111
E(X) = Σ[(p)*p(x)]
(21 * 0.233) + (24 * 0.2667) + (17 * 0.1889) + (28 * 0.3111) = 23.2159
Var(X) : Σ(x²*p(x)) - E(x)²
x² * p(x) = (21^2 * 0.233) + (24^2 * 0.2667) + (17^2 * 0.1889) + (28^2 * 0.3111) - 23.2159^2
554.8667 - 538.97801281
= 15.88868719
= 15.89
find the slope of the line that passes through (5,8) and (7,12)
Answer:
2 is the answer
Step-by-step explanation:
Answer:
2is your slope.
Step-by-step explanation:
(5,8) = (x1,y1)
(7,12) = (x2,y2)
now,
slope = y2-y1
x2-x1
=12-8
7-5
= 4
2
= 2 ans
Top Tech adds 55% to the wholesale cost it pays for its inventory. Top Tech bought a wireless mouse for $24. What will be the retail price of the wireless mouse? Round to the nearest penny.
9514 1404 393
Answer:
$37.20
Step-by-step explanation:
Adding 55% to the cost means the cost is multiplied by 1+55% = 1.55.
$24 × 1.55 = $37.20
The retail price will be marked as $37.20.
You get 20% off a new jacket that costs 80$ what will you have to spend on that jacket?
Answer:
$64
Step-by-step explanation:
10 percent of 80 dollars is 8 dollars, and 20 percent is 16 dollars, now subtract 16 from 80 dollars and you will get 64 dollars
Answer:
$64
Step-by-step explanation:
share 126 litres of petrol between Joel and Trump in the ratio 2:5
Answer:
36:90
Step-by-step explanation:
trust me and make me brainliest please!!
Answer:
Trump=90, Joel=36
Step-by-step explanation:
2x+5x=126
7x=126
x=18
18 times 2=36
18 times 5=90
1. After a party, Tyler's family has
3 6/8 pizzas leftover. Each family
member ate 3/8 of the left over
pizzas. How many family
members ate the leftover pizzas?
Answer:
10 members
Step-by-step explanation:
3 6/8 leftover = [tex]\frac{24+6}{8}\\[/tex] = 30/8 = 10 . 3/8
If the part is 63 and the percent is 90% what is the whole plz help
Answer:
70
Step-by-step explanation:
63/9 = 7
7 * 10 = 70
Exercise 6
Choose one of the rows from the conversion table in Exercise 5, and use models to prove your answers. (Models could include a 10×10 grid, a tape diagram, a double number line, etc.)
pick 10 x 10 it is the easy one
Step-by-step explanation:
Can someone pls help me right quick hurry pls
Answer:
b
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
4 in hundreds (400)
3 in ones (3)
2 in tenths (.2)
9 in hundredths (.09)
image
Identify a pair of parallel lines in the given figure.
Question 2 options:
A)
p and s
B)
r and q
C)
r and p
D)
r and s
The parallel lines are r and s.
What are Parallel lines?Parallel lines are those lines that are equidistance from each other and never intersect each other.
Given that;
There are 4 lines ae shown in figure.
Now,
Since, There are 4 lines ae shown in figure.
We know that,
Parallel lines are those lines that are equidistance from each other and never intersect each other.
And, Here p and s are intersect at a point.
Lines q and r are intersect at a point.
Lines p and r are intersect at a point.
And, Lines r and s are not intersect at any point and equidistance from each other.
Thus, The lines r and s are parallel lines.
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PLEASE HELPPPP ASAP IF YOU THIS
the product of two consecutive odd numbers is 1023
HURRY PLEASE!!! I HAVE TO TURN THIS IN SOON!!!
I WILL GIVE YOU BRAINLIEST!!
the directions are on the picture!
i need an explanation on how you solved it too.
Answer: Didn't flip the greater than sign to lesser than.
Step-by-step explanation: When dividing an inequality by a negative the greater than or less than sign switches.
A mini bus can carry 8 students. How many mini buses will be needed to transport 38 students?
Answer:
5 buses
Step-by-step explanation:
you need to divide the number of students (38) by the number of students a mini bus can carry.
38 : 8 = 4.75
since they want to know how many buses will be needed to transport all students, you round 4.75 to 5
hope this helps!
Find the equation of a line that passes through the point (2,-5) and is perpendicular to the y-axis. Do not put any spaces in your answer.
Answer:
y=-5
Step-by-step explanation:
Equation of the line
Lines can be expressed in several forms. The slope-intercept form of the line is:
y = mx + b
Where m is the slope of the line and m is the y-intercept.
If the line is perpendicular to the y-axis, then it's a horizontal line. Horizontal lines have slope m=0, thus, the equation is:
y = b
To find the value of b, just substitute the given point:
-5=b
The equation of the line is:
y=-5