Answers
Answer:
-1
Step-by-step explanation:
5-3(5x+2)+15x
Distribute
5 - 3*5x - 3*2 +15x
5 - 15x -6+15x
Combine like terms
5-6 -15x+15x
-1
5−3(5x+2)+15x
Distribute:
=5+(−3)(5x)+(−3)(2)+15x
=5+−15x+−6+15x
Combine Like Terms:
=5+−15x+−6+15x
=(−15x+15x)+(5+−6)
=−1
Related Questions
arange the following expressions in order of their value from least to greatest. a. 4 − 6 b. −4 + 6 c.−4 − 6
Answers
Answer: C. -10, A -6, B 2
Step-by-step explanation:
For which equations are in the solution for x the same number? 15 – х = -3
3
Answers
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
Given: f(x) = 2x + 5 and g(x) = x2 and h(x) = -2x
h(g(f(x))) = _______
Answers
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:
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
Answers
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
Mary has some trading cards.
Answers
Answer:
Step-by-step explanation:
36 divided by 3. I think.
Answer:
Divide 3 by 36 and simplify your answer
Step-by-step explanation:
I need help please 4x-6y=36 how to show my work please help it would mean a lot :)
Answers
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.
There are three consecutive integers. Four times the smallest integer is equal to six more than three times the smallest integer. What is the smallest of the 3 integers?
Answers
Let the smallest integer equal x - 1, the next one equal x, and the last one equal x + 1.
4(x-1) = 3(x-1) + 6
x-1 = 5
x = 6
The smallest integer is x - 1, which is equal to 5. Thus, the smallest of the three integers is 5.
What is 83/100 simplified?? PLEASE answer quick?
Answers
Answer:
Step-by-step explanation:
83/100 is already simplified. You can not make it smaller.
Asia has $15.45 to buy chips for a party. Each bag costs $2.13. How many can she buy?
Answers
Answer:
She can buy 7 bags of chips
Step-by-step explanation:
just take 15.45 and divide it by 2.13
Answer:
7
Step-by-step explanation:
If you divide both numbers you will get 7.253. When it's a decimal, you will round down, which gives you the answer of 7
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?
Answers
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]
See more about distance at brainly.com/question/989117
To estimate your average monthly salary, divide your yearly salary, y, by the
number of months in a year. Write and solve an equation to determine your
yearly salary when your average monthly salary is $4560.
Answers
Answer:
$54,720
Step-by-step explanation:
If you make $4560 a month and there are 12 months in a year the equation would be...
$4560 * 12 = yearly salary
4560 * 12 = 54720
So your yearly salary is $54,720
Hope this helps!
Josh wrote a whole number using the digits 8,4,7,2,9 and 0. Josh's number has a seven in the thousands and a 2 in the tens place. Josh's number is less then 500,000. Is Josh's number greater than 480,000?
Answers
Answer:
4 out of the 6 possible numbers Josh wrote were greater than 480,000, while 2 out of the 6 possible numbers are less than 480,000
Step-by-step explanation:
The given parameters are;
The number with which Josh wrote the whole number = 8, 4, 7, 2, 9, and 0
The number in the thousands of the whole number that Josh wrote = 7
The number in the tens of the whole number that Josh wrote = 2
The value of the whole number that Josh wrote < 500,000
Therefore, we have;
The possible numbers in the hundreds of thousands place = 4, and 2
Which gives the following possible combinations;
The number of ways of selecting the first number = 1 way, the number is 4 to make the value less than 500,000
The number of ways of selecting the second number = 3 ways
The number of ways of selecting the third number = 1 way, the number is 7
The number of ways of selecting the fourth number = 2 ways as there are only two numbers left after filling the second place digit
The number of ways of selecting the fifth number = 1 way, the number is 2
The number of ways of selecting the sixth number = 1 ways
The total number of possible number combinations = 3×2×1 = 6 possible numbers, which are;
487920 or 497820 or 407829 or 407928 or 487029 or 497028
Therefore, 2 out of the numbers are less than 480,000, the remaining 4 possible numbers are larger than 480,000.
The next two numbers in the series 1 , 4 , 9 , 16 , 25 ,....................are
Answers
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=49How many integers satisfy the inequality (x 2 – 4)(x 2 – 10) < 0?
none
two
four
an infinite number
Answers
Answer:
4
Step-by-step explanation:
solution: −√10<x<−2 or 2<x<√10
√10=3.16
-3,-2,2,3
The 2 and -2 are the integers satisfy the inequality.
It is required to find the number of integers .
What is inequality?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.
Given:
For (x²– 4)< 0;
x²<4
By taking the square root of both sides we have,
√x²<√4
x < ±2
x<2 and x<-2
Also,
x²<10
By taking the square root of both sides we get,
√x²<±√10
x < ±√10
x<√10 and x<-√10
The √10 is not an integer but an irrational number. An integer is a whole number (not a fractional number) that can be positive, negative, or zero.
So we can't take the integer of ±√10.
Therefore, the 2 and -2 are the integers satisfy the inequality.
Learn more details about inequality here:
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What is P= I^2r when solving for I?
Answers
Answer:
[tex]I=\sqrt{\dfrac{P}{r}}[/tex]
Step-by-step explanation:
Divide by r and take the square root.
[tex]P=I^2r\\\\\dfrac{P}{r}=I^2\\\\\boxed{I=\sqrt{\dfrac{P}{r}}}[/tex]
Rewrite as a simplified fraction.
1.6 repeating = ?
Pleaseeee help
Answers
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.
To know more about fraction:
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Which fraction is simplified fraction of 28/56
Answers
Answer:
1/2
Step-by-step explanation:
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
28 * 2 = 56.
If angle PQT = (3x + 47)* and angle PQR = (6x - 25)', find the measure of angle SQR.
Answers
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 .
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)
Answers
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 smallest number by which 28 should be multiplied so as to get a perfect square is
Answers
Answer:
7.
Step-by-step explanation:
28 = 2^2 * 7.
To multiply 28 to get a perfect square, we can multiply it by 7 to get 2^2 * 7^2, which is 14 squared.
Rey baked 144 desserts in 6 1/4 months. Find reys dessert making rate in desserts per month.
Answers
Answer:
23 1/25 desserts per month
Which algebraic expression represents "the sum of a number and 9"?
On-g
On+ 3
Ogn
n
Answers
Answer
n+9
Step-by-step explanation:
Find the 12th Term of the sequence -16, -12,-8,-4...
Answers
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
Given the data set below, find the mean,
4,8, 21, 9, 12,6
A.
10
B.
8.5
c.
17
D
12.5
Answers
4+8+21+9+12+6=60
60/6= 10
To find the mean, you’ll add all the numbers and then divided be however many there are.
Which numbers are a distance of 6 units from −2 on a number line
Answers
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
How many hundreds are in 200+10+6?
Answers
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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Which property is illustrated?
x+y=y+x
Answers
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
A triangular window has area
24 square feet and height six feet.
What is its base?
Answers
RS=2x-8, ST= 11, RT= x+10
Answers
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
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=
Answers
Answer:
2 between 2 and 4 and 8 between 7 and -1