Answer:
A. and B.
Step-by-step explanation:
A natural number by definition is a number that spans from 1 to 100 it can't have decimals or negative numbers.
A. Natural number, the square root of 99 is 11 which is in the span of 1 to 100.
B. includes a natural number when you divide 60/15 you get 4 which is in the span of 1 to 100.
C. Incorrect, includes a negative number so it's not a natural number.
D. Not a natural number it includes decimals.
RS=2x-8, ST= 11, RT= x+10
Answer:
X=7 ST=11 RT=17
Step-by-step explanation:
RT=RS+ST. RS= 2(7)-8. ST=11
X+10=2x-8+11. =14-8=6. RT= x+10
X+10=2x+3. RS=6. 7+10=17
10=x+3. RT=17
X=7
What is 83/100 simplified?? PLEASE answer quick?
Answer:
Step-by-step explanation:
83/100 is already simplified. You can not make it smaller.
Which algebraic expression represents "the sum of a number and 9"?
On-g
On+ 3
Ogn
n
Answer
n+9
Step-by-step explanation:
SOMEONE PLS HELP ME ASAPPP: The odometer of a vehicle tells you how far it has traveled in its lifetime. The "trip odometer" can be reset at any time to tell you the length of a particular trip. Suppose the main odometer of a new car is at 467 miles and the trip odometer is at 22 miles. How many more miles do you have to travle before the main odometer is precisely two times the trip odometer?
Answer:
423 milesStep-by-step explanation:
x - the miles to travel
467+x - the main odometer after x miles travel
22+x - the trip odometer after x miles travel
2(22+x) - two times the trip odometer after x miles travel
2(22+x) = 467 + x
44 + 2x = 467 + x
- 44 -44
2x = 423 + x
-x -x
x = 423
Answer:
how far you've driven
Step-by-step explanation:
Which property is illustrated?
x+y=y+x
Answer:
The Communitive Property of Addition
Step-by-step explanation:
The properties are
Communitive: You can switch the order and still get the same answer
Assosiative: You can switch what numbers are in the parentheses and still get the same answer (if you're only adding) a+(b+c)=c+(a+b)
Distributive: (a*b)+(a*c)=a*(b+c)
Identity: You can add a number with 0 and get the same number you started with
y+x=x+y is the communitive property because, no matter which order the numbers are, you get the same answer
I need help please 4x-6y=36 how to show my work please help it would mean a lot :)
Answer:
Solving for x:
[tex]x = \frac{3}{2} y + 9[/tex]
Solving for y:
[tex]y = \frac{2}{3} x - 6[/tex]
Step-by-step explanation:
Please see the attached picture for full solution.
Exercise #2: Jenna is carrying a bucket that holds 2.5 gallons of water. Water weighs 8.34 pounds
per gallon and the bucket itself weights three-quarters of a pound. What is the total combined
weight of the water and bucket that Jenna is carrying! Show the work that leads to your answer
Answer:
21.6 Pounds
Step-by-step explanation:
Multiply 2.5 by 8.34 to get 20.85 pounds of water
add the weight of the bucket (.75) to the weight of the water (20.85) to get 21.6 pounds total
For which equations are in the solution for x the same number? 15 – х = -3
3
Answer:
Step-by-step explanation:
First equation:
15 - x = - 3
-x = - 3 - 15
-x = -18 (now negative signs on b.s cut eachother)
[x = 18]
Second equation :
15 - x = 3
-x = 3 - 15
- x = -12 ( now negative sign on b.s cut eachother)
[x = 12]
so x = 18 and x = 12 are not same
If angle PQT = (3x + 47)* and angle PQR = (6x - 25)', find the measure of angle SQR.
Since , angle PQT and PQR are in a line .
So , PQT=PQR
(3x + 47) + (6x - 25) = 180
x = 17.56
Now , PQR and SQR are also in same line .
So , PQR + SQR = 180
( 6x - 25 ) + SQR = 180
105.33 - 25 + SQR = 180
SQR = 99.67°
Hence , this is the required solution .
Find the mode:
5, 0, 9, 9, 3, 0, 5, 5, 4
Answer:
5
Step-by-step explanation:
Occurs most often
Which numbers are a distance of 6 units from −2 on a number line
Answer:
-8 and 4 are 6 away from -2
Step-by-step explanation:
------/----------------------------------------/----
-9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7
Mary has some trading cards.
Answer:
Step-by-step explanation:
36 divided by 3. I think.
Answer:
Divide 3 by 36 and simplify your answer
Step-by-step explanation:
Rey baked 144 desserts in 6 1/4 months. Find reys dessert making rate in desserts per month.
Answer:
23 1/25 desserts per month
Question 9 I didn’t mean to click on one
You selected the correct answer choice.
The given equation y = 3x-5 is in the form y = mx+b with slope m = 3.
Parallel lines have equal slopes but different y intercepts. So any parallel line will also have slope m = 3 (the b value must be different though).
Given: f(x) = 2x + 5 and g(x) = x2 and h(x) = -2x
h(g(f(x))) = _______
Answer:
Step-by-step explanation:
f(x)= 2x + 5
g(2x + 5)= (2x + 5)^2 = 4x^2 + 20x + 25
h(4x^2 + 20x + 25)= -2(4x^2 + 20x + 25)= -8x^2 -40x - 50
Answer
Step-by-step explanation:
what would be equivalent to 32 ⋅ 35?
Step-by-step explanation:
35•32 or 1120 there you go
arange the following expressions in order of their value from least to greatest. a. 4 − 6 b. −4 + 6 c.−4 − 6
Answer: C. -10, A -6, B 2
Step-by-step explanation:
What is the value of the function, f(x)=x^2-5x when x=-5 ?
Answer:
f(-5) = 50
Step-by-step explanation:
Simply plug in -5 for x into the function:
f(-5) = (-5)² - 5(-5)
f(-5) = 25 + 25
f(-5) = 50
Line p passes through (8,-6) and is perpendicular to the line 2x+y=-7.
The slope of line p is?
A- -2
B- -1/2
C- 1/2
D- 2
(How do I solve to find slope)
Answer:
C) 1/2
Step-by-step explanation:
The slope of a perpendicular line is the negative inverse.
First, convert the given line to slope-intercept form.
2x + y = -7
y = -2x − 7
The slope of this line is -2. So the slope of the perpendicular line is:
m = -1 / (-2)
m = 1/2
The next two numbers in the series 1 , 4 , 9 , 16 , 25 ,....................are
Answer:
36, 49
explanation:
The pattern in this series is going by perfect squares:
(1)² = 1(2)²= 4(3)² = 9(4)² =16(5)² = 25From this, we can tell the next 2 numbers in the series will be:
(6)²=36(7)²=49Given the data set below, find the mean,
4,8, 21, 9, 12,6
A.
10
B.
8.5
c.
17
D
12.5
Find the 12th Term of the sequence -16, -12,-8,-4...
Answer:
32
Step-by-step explanation:
You can keep adding 4 from -16 for a total of 12 times to get 32
or you can multiply 12*4 to get 48 and subtract 16 from it
hope this is good enough
Rewrite as a simplified fraction.
1.6 repeating = ?
Pleaseeee help
Answer:
5/3
Step-by-step explanation:
1.6 repeating is equal to 5/3
The repeating decimal 1.6 can be written as the simplified fraction 5/3.
To rewrite the decimal 1.6 repeating (1.6) as a simplified fraction, we can use algebraic manipulation. Let's denote 1.6 as x:
x = 1.6
Now, to eliminate the repeating decimal, we can multiply both sides of the equation by 10 (since there is one digit repeating after the decimal point):
10x = 16.6
Next, subtract the original equation from the multiplied equation to eliminate the repeating decimal:
10x - x = 16.6 - 1.6
This simplifies to:
9x = 15
Finally, divide both sides by 9 to solve for x:
x = 15 / 9
Now, we simplify the fraction:
x = 5/3
Therefore, the repeating decimal 1.6 can be written as the simplified fraction 5/3.
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How many hundreds are in 200+10+6?
Answer:
200+10+6=216
Step-by-step explanation:
2 hundred and 16 is in word form
Since 200 can be written as a sum of 2 100's, hence there are two hundred in the expression given,
Given the expression 200 + 10 + 6
Each term can be written in words as shown:
200 is two hundred
200 = 100 + 100
Since 200 can be written as a sum of 2 100's, hence there two hundred in the expression given,
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Performance task: A parade route must start And and at the intersections shown on the map. The city requires that the total distance of the route cannot exceed 3 miles. A propos route is shown.
Part A: Why does the proposed route not meet the requirement?
Part B: Assuming that the roads used for the
route are the same and the end point is the same,
at what intersection could the parade start so the
total distance is as close to 3 miles as possible?
Part C: The city wants to station video cameras halfway down each road in the parade. Using your answer to Part B, what are the coordinates of locations for the cameras?
Answer:
Part A: The proposed route does not meet requirement because it is longer than the maximum required length of 3 miles
Part B: For the total distance is as close to 3 miles as possible, the start point of the parade should be at the point on Broadway with coordinates (9.941, 4.970)
Part C: The coordinates of the cameras stationed half way down each road are;
For central avenue; (4, 2)
For Broadway; (7.97, 2.49)
Step-by-step explanation:
Part A: The length of the given route can be found using the equation for the distance, l, between coordinate points as follows;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
Where for the Broadway potion of the parade route, we have;
(x₁, y₁) = (12, 3)
(x₂, y₂) = (6, 0)
[tex]l_1 = \sqrt{\left (0 -3\right )^{2}+\left (6-12 \right )^{2}} = 3 \cdot \sqrt{5}[/tex]
For the Central Avenue potion of the parade route, we have;
(x₁, y₁) = (6, 0)
(x₂, y₂) = (2, 4)
[tex]l_2 = \sqrt{\left (4 -0\right )^{2}+\left (2-6 \right )^{2}} = 4 \cdot \sqrt{2}[/tex]
Therefore, the total length of the parade route =-3·√5 + 4·√2 = 12.265 unit
The scale of the drawing is 1 unit = 0.25 miles
Therefore;
The actual length of the initial parade =0.25×12.265 unit = 3.09 miles
The proposed route does not meet requirement because it is longer than the maximum required length of 3 miles
Part B:
For an actual length of 3 miles, the length on the scale drawing should be given as follows;
1 unit = 0.25 miles
0.25 miles = 1 unit
1 mile = 1 unit/(0.25) = 4 units
3 miles = 3 × 4 units = 12 units
With the same end point and route, we have;
[tex]l_1 = \sqrt{\left (0 -y\right )^{2}+\left (6-x \right )^{2}} = 12 - 4 \cdot \sqrt{2}[/tex]
y² + (6 - x)² = 176 - 96·√2
y² = 176 - 96·√2 - (6 - x)²............(1)
Also, the gradient of l₁ = (3 - 0)/(12 - 6) = 1/2
Which gives;
y/x = 1/2
y = x/2 ..............................(2)
Equating equation (1) to (2) gives;
176 - 96·√2 - (6 - x)² = (x/2)²
176 - 96·√2 - (6 - x)² - (x/2)²= 0
176 - 96·√2 - (1.25·x²- 12·x+36) = 0
Solving using a graphing calculator, gives;
(x - 9.941)(x + 0.341) = 0
Therefore;
x ≈ 9.941 or x = -0.341
Since l₁ is required to be 12 - 4·√2, we have and positive, we have;
x ≈ 9.941 and y = x/2 ≈ 9.941/2 = 4.97
Therefore, the start point of the parade should be the point (9.941, 4.970) on Broadway so that the total distance is as close to 3 miles as possible
Part C: The coordinates of the cameras stationed half way down each road are;
For central avenue;
Camera location = ((6 + 2)/2, (4 + 0)/2) = (4, 2)
For Broadway;
Camera location = ((6 + 9.941)/2, (0 + 4.970)/2) = (7.97, 2.49).
This exercise is necessary to use the given map information and then make the distance between points, in this way we find that:
A)The proposed route does not meet requirement because it is longer than the maximum required length of 3 miles.
B) Broadway and Cedar Street
C) [tex]Central \ Avenue(4, 2)Broadway (7.97, 2.49)[/tex]
So from the distance between points and the informed map we have:
A) The equation for the distance, as follows:
[tex]l=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
Where for the Broadway potion of the parade route, we have:
[tex](x_1,y_1)=(12,3)\\(x_2,y_2)=(6,0)[/tex]
Applying the values in the formula given above, we have:
[tex]l_1=\sqrt{(0-3)^2+(6-12)^2}=3\sqrt{5}[/tex]
For the Central Avenue potion of the parade route, we have:
[tex](x_1, y_1) = (6, 0)(x_2, y_2) = (2, 4)[/tex]
Applying the values in the formula given above, we have:
[tex]l_2=\sqrt{(4-0)^2+(2-6)^2}=4\sqrt{2}[/tex]
Therefore, the total length of the parade route:
[tex]3\sqrt{5} + 4\sqrt{2} = 12.265 \\0.25*12.265 unit = 3.09\ miles[/tex]
B) The two streets that are the same distance apart are the streets: Broadway and Cedar Street.
C) The coordinates of the cameras stationed half way down each road are:
For Central Avenue:
[tex]Camera \ location = ((6 + 2)/2, (4 + 0)/2) = (4, 2)[/tex]
For Broadway:
[tex]Camera\ location = ((6 + 9.941)/2, (0 + 4.970)/2) = (7.97, 2.49)[/tex]
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32. At 8 AM, the temperature was 3°F below zero. By 1pm, the temperature rose
14F and by 10 PM, dropped 12. Plot points and draw arrows on the number
line below to model this situation.
What was the temperature at 10 PM? Explain how the number line helped you
find your answer.
Answer: - 1°F
Step-by-step explanation:
Given that:
At 8a.m:
Temperature = 3°F below 0
By 1p.m ; Temperature rose by 14F ;
By 10pm ; temperature dropped by 12F
Temperature at 10 pm:
3°F below 0 = - 3°F
Temperature at 1pm: temperature increased by 14°F
-3°F + 14°F = 11°F
Temperature at 10pm: temperature dropped by 12°F
11°F - 12 = - 1°F
What is 3000 times 1000?
Answer:
3000000
Step-by-step explanation:
:D
The equivalent value of the equation is A = 3000000
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the first number be p = 3000
Let the second number be q = 1000
Now , A = pq
where A = 3000 x 1000
On simplifying the equation , we get
A = 3000 x 1000
So , the left hand side of the equation is equated to the right hand side by the value of ( 3000 x 1000 )
A = 3000000
Therefore , the value of A = 3000000
Hence , the expression is A = 3000000
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Solve the equation 4+x/-9=6
Answer:
x = -18
Step-by-step explanation:
4+ x / -9 = 6
x / -9 = 6 - 4
x / -9 = 2
x = 2*-9
x = -18
found this deimos Google hope this helps -
x in (-oo:+oo)
x/4-9 = 6 // - 6
x/4-9-6 = 0
1/4*x-15 = 0 // + 15
1/4*x = 15 // : 1/4
x = 15/1/4
x = 60
Which fraction is simplified fraction of 28/56
Answer:
1/2
Step-by-step explanation:
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
28 * 2 = 56.
EASY BUNCH OF POINTS & WILL GIVE BRAINLIEST:) Find the distance FG between the points F(2,7) and G(4, -1). Round your answer to the nearest tenth, if necessary. FG=
Answer:
2 between 2 and 4 and 8 between 7 and -1