All the solutions of the expressions are,
1) 3yi
2) 3c
3) - 10x
4) - 5y
5) - 2a
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, We can solve as;
1) - √- 9y² , if y < 0
⇒ - √ - 9y²
⇒ - √- 1 × 3 × 3 × - y × - y
⇒ 3yi
2) 3√c², if c ≥ 0
⇒ 3 √c²
⇒ 3√c × c
⇒ 3c
3) - 5√4x², if x ≥ 0
⇒ - 5 √4x²
⇒ - 5 √(2x)²
⇒ - 5 × 2x
⇒ - 10x
4) - 5√y², if y > 0
⇒ - 5 √y²
⇒ - 5y
5) 0.5 √16a², if a < 0
⇒ 0.5 √(4a)²
⇒ 0.5 × -4a
⇒ - 2a
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What is the probability of NOT choosing a 4?
9/16
7 of the squares are 4 so we just substract that from the total of 16 and we get 9
A racing shell, which is a boat a crew team rows, moves 20 km/h in still water. During practice, the team rows 36 km against the current and 22 km with the current. Find the speed of the river current if the team rows a total of 3 hours.
Answer:
2 km/h
Step-by-step explanation:
Let x represent the speed of the river current, t₁ be the time spent rowing against the current and t₂ be the time spent rowing with the current.
Since the speed of the still water = 20 km/h.
The speed of rowing against the current = (20 - x)
The speed of rowing with the current = (20 + x)
We know that velocity = distance / time. Hence time = distance / velocity
t₁ = 36 / (20 - x)
t₂ = 22 / (20 + x)
but t₁ + t₂ = 3 hours
Therefore:
3 = 36 / (20 - x) + 22 / (20 + x)
multiply through by 400 - x²
3(400 - x²) = 36(20 + x) + 22(20 - x)
1200 - 3x² = 720 + 36x + 440 - 22x
3x² + 14x -40 = 0
This gives x = -6.7 or x = 2
x cannot be negative therefore x = 2 km/h
The speed of the river current is 2 km/h
Answer:
2km/h is correct
Step-by-step explanation:
The other guy is absolutely correct
Color of socks
Number of socks
white
8
black
7
blue
2
brown
3
From the table, the ratio of white socks to brown socks is
Select two ratios equivalent to the ratio of white socks to brown socks.
32
A.13
B.15
41
C.32
12
D.40
15
Answer:
D.40:15 are equivalent to the ration of white socks to brown sock which is 8:3
Find the surface area of the figure .
Answer:
356.4
r =4
h =12
just put it in this formula
2 pie r ( r + h )
GOOD LUCK FOR THE FUTURE! :)
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP ME ASAP
Answer:
156 dollars
Step-by-step explanation:
Helpppppppppppppppppp is this right
Answer:
The first one is B and the second one is correct
Step-by-step explanation:
Answer:
I think 1 is actually B and 2 is right -Your friend, Bill Cipher
Step-by-step explanation:
Simplify
4y — 4ys + 2y – 5у — 54 – 34
Answer:
-4ys + y - 88
Step-by-step explanation:
When we have to simplify equations that have different variables, we always have to look at the like terms, which the like terms are ones that contain the same value and variable. So let's look at our equation :
4y — 4ys + 2y – 5у — 54 – 34
We can see three different terms here :
ys, y, and a constant term.
The rule is that we can only combine two properties that have the same like term, so in the equation :
4y — 4ys + 2y – 5у — 54 – 34
These have the same variable, therefore we can combine like terms.
4y + 2y - 5y
6y - 5y
y
Now implace it into the equation :
y — 4ys — 54 – 34
Onto the next property :
y — 4ys — 54 – 34
This is alone, therefore we can leave it :
y — 4ys — 54 – 34
These two are the same property, so do the following :
-54 - 34
-88
Impace into the equation :
y - 4ys - 88
Now that we have no same common like terms, we can order our equation to greatest value to least :
-4ys + y - 88
A car was traveling at a rate of 2 2/3 yards in 3/4 of a minute. How far is is going each minute?
Heng tried to define a reflection across line r.
Any point M not on the line of reflection maps to a point M' such that the midpoint L of M→M' is on line r.
Which counterexample shows that Heng's definition does not fully define a reflection?
The counterexample shows that Heng's definition does not fully define a reflection is Heny fully defined a reflection. Option D
How to determine the counterexampleConsider the counterexample in which point M is above line r and the line itself is a vertical line.
Assume M is located at (0, 2) and that line r is the x = 1 line. Heng's definition states that point M', which has a midpoint L that is on line r, should reflect point M across line r.
However, point M' at (-1, 2) would be the reflection of point M across line r, which does not meet the requirement that the midpoint L lies on line r. Therefore, in this counterexample, Heng's definition does not adequately characterize a reflection.
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8 pomegranates cost $20.24.
How many full pomegranates can you buy for $50?
plz help
Answer:
19.76
Step-by-step explanation:
8/20.24=x/50
cross product
20.24*x=8*50
20.24x=400
x=400/20.24
x=19.76
Tax of northglenn city is calculated at 6.5%. Carlos is at a convenience store with his mom and needs to convert the percent the percent to a decimal to input it on his calculator. What decimal number should he use?
Find the marked prices of the following , given the percentage discount and the sale prices: part a: 12% discount , and the sale price $77
part b : 25% discount , and the sale price $123
Answer:
A) $87.5
B) $164
Step-by-step explanation:
A) Marked Price (Original Price)
= [tex]\frac{Sale Price}{1 -Discount}[/tex]
=[tex]\frac{77}{1-0.12}[/tex]
=87.5
B) Marked Price (Original Price)
=[tex]\frac{Sale Price}{1 -Discount}[/tex]
=[tex]\frac{123}{1-0.25}[/tex]
=164
if h (x) = |5x - 17|, find h(3)
Answer:
2
Step-by-step explanation:
5x - 17
5(3) - 17 = 15 - 17 = -2
let me know if its right or wrong
Find the solution of the system of the equation 4x+10y=-24
-2x+y=-24
Answer:
4x+10y=-24
-2x+y=-24
2x+11y=-48
48+2x=0
48+11y =0
48=2x
48=11y
48/2 =2x/2
48/11=11y/11
x=24
y= 48/11
Rhonda and Shalene live together in an apartment, so they combine their income each week to pay for their rent and bills. Rhonda's paycheck is modeled by the function r(x)=22x+50,r(x)=22x+50, where xx is the number of hours worked. Shalene's paycheck is modeled by the function s(x)=30x−25,s(x)=30x−25, where xx is the number of hours worked. Which function represents their household income if they work the same number of hours?
Answer:
(r+s)(x)=52x+25
Step-by-step explanation:
i dont know how to explain but this is what I choose and it was right.
Can somebody give the answer pls
Answer: OOO I KNOW THE FOURTH ONE
Step-by-step explanation: y^2 + z^2 = x^2
Answer:
D
Step-by-step explanation:
According to the Pythagorean's theorem, in a right triangle, the sum of the adjacent side squared and opposite side squared is equal to the hypotenuse squared in other words
[tex]y^{2} + z^{2} = x^{2}[/tex]
Find the area of the circle to the nearest hundredths ( Use 3.14 for pi) (4cm)
Answer: 50.24 cm²
Step-by-step explanation:
ASSUMING THE RADIUS OF THE CIRCLE IS THE 4 CM
The formula for the area of a circle is pi(3.14) * r(4)^2
[tex]3.14*4^2[/tex]
[tex]3.14*16[/tex]
[tex]50.24[/tex]
Hope it helps <3 :D
Write an equation in point-slope form of the line that passes through the given points, then write the equation in slope-intercept form
(-3,5). (3.3)
Answer:4/3 i think
Step-by-step explanation:
Answer:
Point-slope form:
[tex]\displaystyle y-3=-\frac{1}{3}(x-3)[/tex]
Slope-intercept form:
[tex]\displaystyle y=-\frac{1}{3}x+4[/tex]
Step-by-step explanation:
We want the equation in point-slope form and slope-intercept form that passes through the points (-3, 5) and (3, 3).
First, we will find the slope between the two points. By the slope formula:
[tex]\displaystyle m=\frac{5-3}{-3-3}=\frac{2}{-6}=-\frac{1}{3}[/tex]
Point-slope form is given by:
[tex]\displaystyle y-y_1=m(x-x_1)[/tex]
We can choose either point. I'm going to let (3, 3) be (x₁, y₁). The slope m is -1/3. Therefore:
[tex]\displaystyle y-3=-\frac{1}{3}(x-3)[/tex]
Is the point-slope form*.
To find the slope-intercept form, we simply need to isolate y. Distribute:
[tex]\displaystyle y-3=-\frac{1}{3}x+1[/tex]
Adding 3 to both sides yields:
[tex]\displaystyle y=-\frac{1}{3}x+4[/tex]
This is slope-intercept form.
*If you use the other point, the point-slope form will be:
[tex]\displaystyle y-5=-\frac{1}{3}(x+3)[/tex]
Point D is the centroid of Triangle ABC. Find CD and CE.
DE = 9
Given:
Point D is the centroid of Triangle ABC and DE = 9.
To find:
The measures of CD and CE.
Solution:
We know that, centroid is the intersection of medians and it divides each median in 2:1.
In triangle ABC, CE is a meaning and centroid D divided CE in 2:1. So,
Let the measures of CD and DE are 2x and x respectively.
DE = 9 (Given)
[tex]x=9[/tex]
Now,
[tex]CD=2x[/tex]
[tex]CD=2(9)[/tex]
[tex]CD=18[/tex]
And,
[tex]CE=CD+DE[/tex]
[tex]CE=18+9[/tex]
[tex]CE=27[/tex]
Therefore, the measure of CD is 18 units and the measure of CE is 27 units.
The measure of CD and CE are 18 and 27 respectively
From the given diagram, the following are true:
CD = 2DEGiven that DE = 9
CD = 2(9)
CD = 18
Similarly;
CE = CD + DE
CE = 18 + 9
CE = 27
Hence the measure of CD and CE are 18 and 27 respectively
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The perimeter of a square is given as 8x+20. Write two different expressions for the perimeter. Use factoring to write one of the expressoins. Are the expressions equivalen? Explain
Answer:
P = 4(2x + 5)
P = (2x + 5)+(2x + 5)+(2x + 5)+(2x + 5)
Step-by-step explanation:
Given that:
Perimeter of square = 4 * s
Where s = side length
If perimeter, P = 8x + 20
Then,
4s = 8x + 20
Divide both sides by 4
4s / 4 = (8x + 20) / 4
s = 2x + 5
P = 4s
P = 4(2x + 5)
Or
P = 2x + 5 in 4 places
P = (2x + 5)+(2x + 5)+(2x + 5)+(2x + 5)
Over the weekend Mary binge watched 3 out of the 12 seasons of her favorite television show. What percent of the shows did she watch?
Answer:
1/4 is answer.
Step-by-step explanation:
Divide 3 to 12 = 1/4
Hope this helps. :)
The ratio of boys to girls in a class is 7:5. There are 36 students in the class. How many students are girls?
Answer:
15 students are girls
Step-by-step explanation:
7+5=12
36÷12=3
3x5=15
please i need help
and I need to have work
ds here so I guease this ends a conversation please help
Answer:
Step-by-step explanation:
9 is 4a + 6b - 3c
10 is 2x(small 2) - 6 + 5x
11 is 5 - 2d
12 is - 3x
13 is - a - b
14 is 7c + 9d
15 is 4x(small 2) + 9x - 16
16 is 12y -14
17 is 2a(small 2) + 3ab
I hope I got them all correct. If I got any wrong, feel free to tell me so I can check my work. : )
How to tell the difference between multiplication and division word problems?
Answer:
Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction and division. The result of a multiplication operation is called a product. And division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication
.What is the standard form of y – 8 = 2(x + 3)?
Why did the North allow the Constitution to protect slavery?
Answer:
hope helps
Step-by-step explanation:
The Constitution gave the federal government the power to put down domestic rebellions, including slave insurrections. The framers of the Constitution believed that concessions on slavery were the price for the support of southern delegates for a strong central government.
Answer:
The North allowed the constitution to protect slavery because they belived that slavery was an unhuamne thing although all their production for industrialization did come from the south where the slaves worked on them.
Step-by-step explanation:
Find the area of the
triangle.
Answer:
472.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
Base (b) = 30 yd
height (h) = 31.5 yd
Area of the triangle
= 1/2 * b * h
= 1/2 * 30* 31.5
=472.5 yd²
7th grade please solve the problem above. Write a paragraph explaining how you found the solution you must include each step for solving please!!!
Answer:
x=0
Step-by-step explanation:
You must isolate the variable to solve for it, so subtracting 14 from the left is the first thing to do. This can be supported by using PEMDAS, whereas we are doing the inverse here to solve for something in the equation. This gives us 2x=0. Next, we have to divide by 2, which gives us x=0.
please with full explanation please it's urgent
Answer:
u have some very good handwriting
Find an expression which represents the difference when (6x-3y) is subtracted from (9x+2y) in simplest terms.
Answer:
[tex]3x+5y[/tex]
Step-by-step explanation:
Subtract (6x-3y) from (9x+2y):
[tex](9x+2y)-(6x-3y)[/tex]
This can also be seen as:
[tex](9x+2y)-1(6x-3y)[/tex]
Distribute the -1 to (6x-3y):
[tex](9x+2y)-1(6x)-1(-3y)\\\\(9x+2y)-6x+3y[/tex]
Simplify the parentheses:
[tex]9x+2y-6x+3y[/tex]
Group like terms:
[tex](9x-6x)+(2y+3y)[/tex]
Combine:
[tex]3x+5y[/tex]
This expression can't be further simplified. Therefore, 3x+5y is the answer.
:Done