Answer:
Step-by-step explanation:
-7 - 9x = -61
-9x = -54
x = 6
Jane bought a package of paper priced at $1.98 and 2 pens priced at $0.49 each. The tax on the entire purchase was $0.18. What was the total cost of the items?
Answer:
The answer to this problem is $3.50
Step-by-step explanation:
Evaluate the expression. 9−32÷4
Answer:
5.75
Step-by-step explanation:
9-32÷4
23÷4
5.75
Answer:
1
Step-by-step explanation:
PEMDAS
9-32 / 4
9-8
1
Point K is on line segment JL. Given JL = x + 10, KL = 4x, and JK = 2x,
determine the numerical length of KL.
Answer:
8
Step-by-step explanation:
[tex]2x + 4x = x + 10 \\ 6x - x = 10 \\ 5x = 10 \\ x = 10 \div 5 \\ x = 2 \\ kl = 4x \\ 4 \times 2 = 8 \\ kl = 8[/tex]
If the value of x will be 2. Then the length of KL will be 8 units.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
Point K is on line segment JL. Given JL = x + 10, KL = 4x, and JK = 2x.
Then the value of x will be
JL = JK + KL
x + 10 = 2x + 4x
5x = 10
x = 2
Then the length of KL will be
KL = 4x
KL = 4 (2)
KL = 8 units
More about the coordinate geometry link is given below.
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Simplify (please show work if possible)
Answer: -6x^7
Step-by-step explanation:
2x^3 × (-3x^4)
=(2×-3) · (x^3 × x^4) ⇔ multiply the like terms
=-6 × [x^(3+4)] ⇔ the multiplication of exponents works as addition if same base
=-6x^7
Answer:
[tex]-6x^7[/tex]
Step-by-step explanation:
So when doing this equation, you multiply the numbers, which is 2 × -3, and add the exponents, which is 3 + 4, so then you get the answer, and that is [tex]-6x^7[/tex].
How many integers at between 15 and 63?
Answer:
48
Step-by-step explanation:
63-15=48
Answer:
48
Step-by-step explanation:
You are going to subtract 63 from 15 becasue intergers are whole numbers so just subtract to find what is in between.
Consider a rectangle with width of x units and an area of 10 square units. The length 1 of the rectangle can be
modeled by the function 7(x) = 10. Suppose the width of the rectangle increases 1 unit, while the area remains
constant. Which graph models the length of the new rectangle?
The question asks us to find the a graph which represents the width of the rectangle increasing by 1 unit while the area remains constant. The best graph to model this, would be answer choice C
The graph in option 3 models the length of the new rectangle.
What is a rectangle ?Any figure bounded by 4 sides where the opposite sides are equal and all the angles are 90° is called rectangle.Area of the rectangle can be found by multiplying the length with its breadth.How to find which graph models the length of the new rectangle?According to the problem,
width of the rectangle is x unitsArea of the rectangle is 10 square unitsLength of the rectangle is given by f(x) = 10/xNow if width becomes (x+1) units
∴ Length will be represented as 10/(x+1)
Now from the given options we need to find the exact graph of f(x) = 10/(x +1)
Here if x = 4 , y =2
So the point (4 , 2) is satisfied which is only happening in the graph of option 3
Option 3 represents the correct graph
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The value of the surface area of the cylinder is equal to the value of the volume of the cylinder. Find the value of x.
Answer:
[tex] x = 2.5 [/tex]
Step-by-step explanation:
Surface area of cylinder = 2πr(h + r)
Volume of cylinder = πr²h
Given that S.A = Volume of the cylinder, therefore, we have:
2πr(h + r) = πr²h
Radius (r) is given as 2.5 cm
height (h) = x cm
Input the values and solve for x
2πr(h + r) = πr²h
2πr(h + r) = πr(rh)
2(h + r) = rh (πr cancels πr)
[tex] 2(x + 2.5) = 2.5*x [/tex]
[tex] 2x + 5 = 2.5x [/tex]
Subtract 2x from both sides
[tex] 2x + 5 - 2x = 2.5x - 2x [/tex]
[tex] 5 = 0.5x [/tex]
Divide both sides by 0.5
[tex] \frac{5}{0.5} = \frac{0.5x}{0.5} [/tex]
[tex] 2.5 = x [/tex]
[tex] x = 2.5 [/tex]
I am pretty sure I know the answer but I need to be certain. Please answer and give explanation if possible.
Answer:
Vertical opposite angles are the same so the answer is D.
Owen knows he only has three pencils in his backpack, and they are all yellow. He reaches into his backpack without looking and takes out a pencil. What is the probability that the pencil was yellow? Answer options with 5 options A. 0-thirds B. 1-third C. 2-thirds D. 3-thirds E. 3 over 1
Answer:
B. 1-third
Step-by-step explanation:
The formula for probability = Number of favorable outcomes/ Total number of outcomes
From the question, we are told that:
Owen knows he only has three pencils in his backpack, and they are all yellow. Hence, total number of outcomes = 3
He reaches into his backpack without looking and takes out a pencil.
Hence, total number of favorable outcomes = 1
What is the probability that the pencil was yellow?
Probability ( That the pencil is yellow) =
Number of favorable outcomes/ Total number of outcomes
= 1/3
Therefore, the probability that the pencil was yellow is 1/3 or one - thirds
Miguel started an exercise program that has him swim 8 laps each day during the first week. Each week he adds 2 laps to his routine. In which week will he swim 20 laps each day?
Is 7/13 greater than 1/2?
yes
Step-by-step explanation:
7/13 isore than 1/2
Answer:
No 7/13 is not greater then 1/2
Step-by-step explanation:
7/13=1/2
7/13 is 0.05 and 1/2 is only 0.5
How do I solve this equation 1x - 15 = 5x + 13
Answer:
x = -7
Step-by-step explanation:
This is a multi-step equation in algebra. We are expected to isolate the given variable and find the constant value that it is equal to. In order to do this, we can follow some steps:
1x - 15 = 5x + 13 Subtract 5x on both sides of the equation.
-4x - 15 = 13 Add 15 to both sides of the equation.
-4x = 28 Divide by -4 on both sides of the equation.
x = -7
You can input this value and make sure that the answer is correct.
1(-7) - 15 = 5(-7) + 13
-7 - 15 = -35 + 13
-22 = -22
-22 equals -22, so x = -7 is the solution to the equation.
Answer:
x= -7
Step-by-step explanation:
We are given the equation:
1x-15=5x+13
We want to solve for x. Therefore, we must isolate x on one side of the equation.
First, let’s move all the terms with variables to one side. Subtract 1x from both sides.
1x-1x-15=5x-1x+13
-15= (5x-1x)+13
-15=4x+13
Next, move all the constants, or terms without variables to one side. Subtract 13 from both sides.
-15-13=4x+13-13
-15-13=4x
-28=4x
Finally, divide both sides by 4. We should divide because x is being multiplied by 4 and the inverse of multiplication is division.
-28/4=4x/4
-28/4=x
-7=x
Let’s check our solution. Plug -7 in for x and solve.
1x - 15 = 5x + 13
1(-7) - 15 = 5(-7) + 13
-7-15=5(-7)+13
-22= 5(-7)+13
-22= -35+13
-22=-22
This checks out, so we know our solution is correct.
The solution to 1x - 15 = 5x + 13 is x= -7
The following represents age distribution of students in an elementary class. Find the mode of the values: 7, 9, 10, 13,
11, 7, 9, 19, 12, 11, 9, 7, 9, 10, 11.
4 movie tickets cpst $48. At this rate, what is the cost of 5 movie tickets?
Answer:
60 dollars
Step-by-step explanation:
We can write a ratio to solve
4 tickets 5 tickets
-------------- = ----------------
48 dollars x dollars
4x = 5*48
Divide each side by 4
x = 5*48/4
x = 60
Answer:
[See Below]
Step-by-step explanation:
4 tickets equals 48 so to get the price for each ticket divide:
* 48 / 4 = 12
So then just add now:
* 48 + 12 = 60.
So the cost of 5 tickets is 60$.
PLEASE HELP MEEE
Can someone calculate the area of this shape
Step-by-step explanation:
The 1st rectangle
16 *7=112
next triangle
find details
13-7=6
16-8=8
6*8
48÷2
24+112
136
2. Select ALL of the sets to which the number belongs. 144 Natural Whole Integer Rational Irrational
Answer:
144 is:
Natural
Whole
Integer
Rational
[tex]\sqrt{144}[/tex] is:
Irrational
Step-by-step explanation:
Natural-All positive integers (144 applies) ([tex]\sqrt{144}[/tex] does not apply)
Whole-All positive integers and zero (144 applies) ([tex]\sqrt{144}[/tex] does not apply)
Integer- All positive and negative whole numbers and zero (144 applies) ([tex]\sqrt{144}[/tex] does not apply)
Rational-All integers, fractions, and non-repeating decimals (144 applies) ([tex]\sqrt{144}[/tex] does not apply)
Irrational-A real numbers that are NOT rational (144 does not apply) ([tex]\sqrt{144}[/tex] applies)
Now if you want to find which groups [tex]\sqrt{144}[/tex] belongs to, you must ask if this applies to any rules.
2) 1 - 3p+2p - 9
Your
answer
This is a required question
Answer:
-p - 8
Step-by-step explanation:
1 - 3p + 2p - 9 = -p - 8
Simplify the expression. [(7−3)⋅2+6]⋅3 a 21 b 26 c 42 d 96
Answer:
42
Step-by-step explanation:
[(7-3)2+6]3... [(4)2+6]3...[8+6]3....14(3)=42
Answer:
It should be c 42.
Step-by-step explanation:
Because [(7-3)2+6]3
[(4)2+6]3
[8+6]3
[14]3
42
Sorry if it's long
Analyze the logical statements to fill in the missing information.
1. If a line is horizontal, then it has a slope of 0.
Hypothesis:
Conclusion:
2. A vertical line has an undefined slope.
The statement in equivalent "if-then" form would be:
Hypothesis:
Conclusion:
Answer: 1. hypothesis: line is horizontal
Conclusion: has a slope of 0
2. If a line is vertical, then it has an undefined slope.
Hypothesis : line is vertical
Conclusion: has undefined slope.
Step-by-step explanation:
What are the x-intercepts for the expression (x-4)(x+5)
Answer:
C. [tex] (4, 0) [/tex] and [tex] (-5, 0) [/tex]
Step-by-step explanation:
Given the expression, [tex] (x - 4)(x + 5) [/tex], the x-intercepts would be the values at which the expression = 0.
Rewrite the expression as:
[tex] (x - 4)(x + 5) = 0 [/tex],
Set the first and the second factors equal to 0
[tex] (x - 4) = 0 [/tex]
[tex] x = 4 [/tex]
[tex] (x + 5) = 0 [/tex]
[tex] x = -5 [/tex]
All the values that make [tex] (x - 4)(x + 5) = 0 [/tex] are the x-intercepts of the expression.
x = 4, -5
The point form of the x-intercepts are:
[tex] (4, 0) [/tex] and [tex] (-5, 0) [/tex]
Jack bought a car for $29,000. He sold it for $10,000 3 years later. What is the percentage loss that Jack made?
Answer:
19000%
Step-by-step explanation:
i hope this correct
A set of data with 1200 numbers is normally distributed with a mean of 27 and a standard deviation of 4. How many numbers in the data would you expect to be between 23 and 31?
What numbers would be between 19 and 35 as well?
Help!
Step-by-step explanation:
The mean is 27 and the standard deviation is 4.
23 is 1 standard deviation below the mean, and 31 is 1 standard deviation above the mean. According to the empirical rule, 68% of the population is between -1 and +1 standard deviations.
68% of 1200 is 816.
19 is 2 standard deviations below the mean, and 35 is 2 standard deviations above the mean. According to the empirical rule, 95% of the population is between -2 and +2 standard deviations.
95% of 1200 is 1140.
3. Which words represent MULTIPLICATION
minus
times
product
quotient
Answer:
the answer is product and times.
Which statement describes function composition with respect to the commutative property? Given f(x) = x² – 4 and g(x) = x – 3, (f ∘ g)(2) = –3 and (g ∘ f)(2) = –3, so function composition is commutative. Given f(x) = 2x – 5 and g(x) = 0.5x – 2.5, (f ∘ g)(x) = x and (g ∘ f)(x) = x, so function composition is commutative. Given f(x) = x² and g(x)=StartRoot x EndRoot, (f ∘ g)(0) = 0 and (g ∘ f)(0) = 0, so function composition is not commutative. Given f(x) = 4x and g(x) = x², (f ∘ g)(x) = 4x² and (g ∘ f)(x) = 16x², so function composition is not commutative.
Ansdwer:
D
Step-by-step explanation:
Answer:
Given f(x) = 4x and g(x) = x², (f ∘ g)(x) = 4x² and (g ∘ f)(x) = 16x², so function composition is not commutative.
Step-by-step explanation:
Edge
Adjust the equation so the line passes through the points. Y=x+1
Answer:
Slope=
2.000
2.000
=1.000
x−intercept=
−1
1
=−1.00000
y−intercept=
1
1
=1.00000
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(x+1)=0
STEP
1
:
Equation of a Straight Line
1.1 Solve y-x-1 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-x-1 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 1/1 so this line "cuts" the y axis at y= 1.00000
y-intercept = 1/1 = 1.00000
Calculate the X-Intercept :
When y = 0 the value of x is 1/-1 Our line therefore "cuts" the x axis at x=-1.00000
x-intercept = 1/-1 = -1.00000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.000 and for x=2.000, the value of y is 3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 3.000 - 1.000 = 2.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 2.000/2.000 = 1.000
Geometric figure: Straight Line
1. Slope = 2.000/2.000 = 1.000
2. x-intercept = 1/-1 = -1.00000
3. y-intercept = 1/1 = 1.00000
The equation of the line that passes through the given points will be y=1.5x-4.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that the line passes through (0,4) and (2,7)
The slope of the line is,
m = (7-4)/(2-0)
m=3/2
m=1.5
The equation of the line passes through the points (0,4) and (2,7) and has a slope of 1.5 will be,
y-4=1.5(x-0)
y-4=1.5x
y=1.5x-4
Thus, the equation of the line that passes through the given points will be y=1.5x-4.
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Im not good at this..... please help
Answer:
B. Dependent Events
Step-by-step explanation:
Two events are dependent if the outcome of the first event affects the outcome of the second event, so that the probability is changed.
5 concrete blocks form one-eighth of a structure. So how many concrete blocks are
required to form the structure?
Answer:
40
Step-by-step explanation:
5= 1/8 of structure so 5*8= 8/8 of the structure= 40
Answer:
40 blocks
Step-by-step explanation:
5 = 1/8 of x
multiply by reciprocal of (1/8) = 8
5(8) = x
x = 40
40 blocks
Help I’m being timed!!!!!!!
Answer:
[tex]y=-3x+8[/tex]
Step-by-step explanation:
The answers are given in slope-intercept form.
[tex]y = mx+b[/tex]
The slope (m) in the question is -3. The y-intercept (b) is 8.
Plug the values in you get:
[tex]y=-3x+8[/tex]
Hope this helps.
If a giant armadillo gets 127 hours of sleep per week and a platypus gets 98 hours of sleep per week, in one year how many more hours of sleep does the giant armadillo get then the platypus
Answer: 1508 hours of sleep
Step-by-step explanation:
the arm gets 29 more hours of sleep than the plat per week
52 x 29 is 1508
Approximate the square root of √31 .Round to two decimal places
Answer: 5.57
Step-by-step explanation:
The square root of 31 is 5.56776436 and if you round that 2 decimals places you get 5.57 bc anything higher than 5 gets rounded up to the next number.