An expression is a collection of variables and constant the value of the given expression 1/2 × (7x - 3) × 8 will be 28x - 12.
What is an expression?An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that all are constrained and create an equation.
The constraint of expression is represented as = or <, >.
As per the given expression,
1/2 × (7x - 3) × 8
Multiply 1/2 and 8
⇒ 1/2 × 8 × (7x - 3)
⇒ 4 × (7x - 3)
⇒ 28x - 12
Hence "An expression is a collection of variables and constant the value of the given expression 1/2 × (7x - 3) × 8 will be 28x - 12".
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Which graph represents the piecewise-defined function? y={−45x−3 if x<03x−10 if x≥2
Step-by-step explanation:
[tex]y=\left \Bigg\{ {\big{-45x-3 \qquad x < 0} \atop \big{3x - 10 \qquad x \geq2 }} \right.[/tex]
[tex]\begin {array}{c|c}{ x&y}}\\ -\infty&-\infty\\-2&-93\\-1&-48\\ 0 &-3^*\\1¬hing\\2&-4\\3&-1\\4&2\\ \infty&\infty\\\end{array}[/tex]
* open dot
You did not provide the graphs to choose from so use the table above to determine which graph fits those coordinates.
Make sure that:
(0, -3) has an open dotnothing is plotted between x = 0 and x = 2(2, -4) has a closed dot
[tex] {x}^{2} = \frac{121}{196} [/tex]
[tex]x^2=\dfrac{121}{196}\iff x=\pm\sqrt{\dfrac{121}{196}}\\\\x=-\dfrac{\sqrt{121}}{\sqrt{196}}\ \vee\ x=\dfrac{\sqrt{121}}{\sqrt{196}}\\\\\boxed{x=-\dfrac{11}{14}\ \vee\ x=\dfrac{11}{14}}\\\\\sqrt{a}=b\iff b^2=a\\\\\sqrt{121}=11\ \text{because}\ 11^2=121\\\\\sqrt{196}=14\ \text{because}\ 14^2=196[/tex]
|60| ___ |-60|
1. =
2. <
3. >
Answer:
1. =
Step-by-step explanation:
Absolute value means always positive
so
|60| ___ |-60|
60 _____ 60
They are equal
PLEASE ANSWER 30 POINTS!
To determine the number of deer in a forest, a forest ranger tags 280 and releases them back into the forest. Later, 405 deer are caught, out of which 45 of them are tagged. How many deer are in the forest?
Answer:
2520
Step-by-step explanation:
There are 405 deer per 45 tags.
The ranger tagged 280 deer.
No. of deer = 280 × 405/25
No. of deer = 280 × 9
No. of deer = 2520 deer
There are 2520 deer in the forest
Answer:
Total deers in the forest is 640
Step-by-step explanation:
Since the Number of tagged deer is 280
the number of caught deer is 405 after all tagged deers were released
Surprisingly 45 of 280 of tagged deer was found hence the remaining tagged deer has exscaped in to the forest
The number of deers in the forest is
405-45+250=640
The remaining tagged deer that did not return is
280-45= 235
Drag and drop the answers into the boxes to correctly convert between decimals, fractions, and percents. Decimal Fraction Percent 0.045 9/20 9/200 9/2000 0.45% 4.5% 45%
Answer:
see below PLEASE GIVE BRAINLIEST
Step-by-step explanation:
9/20 = .45 = 45%
9/200 = .045 = 4.5%
9/2000 = .0045 = .45%
To convert between decimals, fractions, and percents, you can follow these steps:
Explanation:To correctly convert between decimals, fractions, and percents:
To convert a decimal to a fraction, count the number of decimal places and put the decimal part of the number over the appropriate power of 10. In this case, 0.045 has three decimal places, so the fraction is 45/1000.To convert a fraction to a percent, multiply the fraction by 100. In this case, 9/20 multiplied by 100 is 45%.To convert a decimal to a percent, move the decimal point two places to the right and add a percent symbol. In this case, 0.045 becomes 4.5%.Learn more about Decimal to fraction conversion here:https://brainly.com/question/31738948
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Your housing and fixed expenses are $685.70/month. If they are 33% of your realized income, how much is your realized income per month?
a) $2,077.88
b) $2,790.55
c) $2,219.91
d) $2,488.16
Answer:
Option a. $2077.88 is the correct answer.
Step-by-step explanation:
Your housing and fixed expenses are $685.70 per month.
If they are 33% of your realized income.
Let your realized income per month be x
33% of x = $685.70
[tex]\frac{33}{100}[/tex] of x = 685.70
0.33x = 685.70
x = 685.70 ÷ 0.33 = 2,077.8787 rounded to $2,077.88
Your realized income per month would be $2,077.88.
19. Describe how the graphs of y = |x| and y = |x + 5| are related. (1 point)
The graphs have the same shape. The y-intercept of y = |x| is 0, and the y-intercept of the second graph is
5.
The graphs have the same shape. The y-intercept of y = |x| is 0, and the y-intercept of the second graph is
–5.
The two graphs are the same.
The graphs have the same shape. The y-intercept of y = |x| is 0, and the x-intercept of the second graph is
5.
Answer:
The graphs have the same shape. The y-intercept of y = |x| is 0, and the y-intercept of the second graph is 5.
Step-by-step explanation:
When we add the 5 inside the absolute value, we shift the graph to the left 5 units. The y intercept of abs (x) is 0 and the y intercept of y = abs(x+5) is 5 . The x intercept of y =abs (x) is 0 and the x intercept of y =abs(x+5) is -5. The graph has the same shape
After a 15% off sale, a pair of Levi jeans were $11.50. How much was the original price of the Levi jeans?
recursive formula 2,5,11,23
Answer:
The first few Thabit numbers are: 2, 5, 11, 23, 47, 95, 191, 383, 767, 1535, 3071, 6143, 12287, 24575, 49151, 98303, 196607, 393215, 786431, 1572863, ... (sequence A055010 in the OEIS)
Step-by-step explanation:
Solve h + p = 4(k − 8) for k.
Answer:
[tex]\frac{h+p+32}{4}[/tex]
Step-by-step explanation:
distribute the parenthesis
h + p = 4k - 32 ( isolate 4k by adding 32 to both sides )
h + p + 32 = 4k ( divide both sides by 4 )
k = [tex]\frac{h+p+32}{4}[/tex]
expand the brackets, to get 4k-32
sp you have; h + p = 4k - 32
add 32 to both sides== h + p + 32 = 4k
/4
k= (h + p+ 32)/4
Julia is allowed to watch no more than 5 hours of telivison a week. So far this week, she has watched 1.5 hours. write and solve an inequality to show how many hours of teli she can watch this week. ( can u show your work along with it? )
Answer:
she can watch 3.5 hours this week.
Step-by-step explanation:
Julia is allowed to watch no more than 5 hours of television a week.
Let x be the number of hours she can watch per week
number of hours not more than 5 hours
so x<=5
She already watched 1.5 hours. so inequality becomes
x+ 1.5 <= 5
Now we solve for x
subtract 1.5 on both sides
x + 1.5 < = 5 - 1.5
x < = 3.5
So, she can watch 3.5 hours this week.
16.45 markdown 33% what’s the anwser
dude, use a calculator
Step-by-step explanation:
Answer:
= 11.02
Step-by-step explanation:
Firstly, we need to find the percentage of the amount left first. This can be done by subtracting the percentage from 100:
100 - 33 = 67
To find the percentage of something, you need to use the following equation:
Amount x [tex]\frac{percentage}{100}[/tex]
Simply plug the given values in:
16.45 x [tex]\frac{67}{100}[/tex] = 11.02
So the answer is 11.02!
Pls help complete the proof
Answer:
Consider the given figure.
Given: [tex]\angle A=\angle D[/tex]
To prove: [tex]\Delta ACB \sim \Delta DCE[/tex]
Proof:
Statements Reasons
1. [tex]\angle BCA = \angle DCE[/tex] Vertically opposite angles
2. [tex]\angle A = \angle D[/tex] given
Hence, the given triangles are similar by AA similarity criteria as "AA criterion for triangle similarity states that if two triangles have two pairs of congruent angles, then the triangles are similar".
Do they qualify for bankruptcy?
Answer:
no
Step-by-step explanation:
they do not :)
The figure shows five points. A point has been translated right and up
A point has been translated right and up from point D could be the image of B.
It indicates that a point was translated right and up.
As a result, any point existing on the rightmost side cannot be the translated point.
As a result, points E and D are ruled out.
There is no point that is higher than point A.
As a result, no "up" translation is available for point A.
Only points C and B are capable of "right and up" movement.
As a result, the first option "Point D could be the image of B" is correct.
-8 + (+7)= add. need help
Question
-8 + (+7)=
Answer:
-1Step-by-step explanation:
the expression -8 +(+7) is equal to 7 - 8 (commutative property)
7 - 8 = -1
Find the equivalent expression using the same basis (34•84)^3
Answer:
(2)^9•(3)^3•(7)^3•(17)^3
Step-by-step explanation:
(34•84)^3
=(34)^3•(84)^3
=(2•17)^3•(2•2•3•7)^3
=(2)^3•(17)^3•(2)^3•(2)^3•(3)^3•(7)^3
=(2)^(3+3+3)•(17)^3•(3)^3•(7)^3
=(2)^9•(3)^3•(7)^3•(17)^3
Answer:
The answer is 2^9•3^3•7^3•17^3
Step-by-step explanation:
First, we simplify the expression inside bracket
34•84
= (2•17)•(2•42)
= (2•17)•(2•2•21)
= (2•17)•(2•2•3•7)
= 2^3•3•7•17
Substituting back
(34•84)^3
= (2^3•3•7•17)^3
= 2^9•3^3•7^3•17^3
There is a spinner with 15 equal areas, numbered 1 through 15. If the spinner is spun one time, what is the probability that the result is a multiple of 6 or a multiple of 4?
Answer:
see below PLEASE GIVE BRAINLIEST
Step-by-step explanation:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
BOLD number are multiples of 4 or 6
4 out of the 15 numbers are a multiple of either 4 or 6,
so the probablilty would be 4/15 or a 26.6% chance.
The probability that the result is a multiple of 6 or a multiple of 4 is 4 /15.
The spinner has 15 equal areas numbered 1 through 15.
If the spinner is spun one time the probability of getting a multiple of 6 or a multiple of 4 can be calculated below;
The numbered side are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15.
multiple of 6 are 6 and 12.
multiple of 4 are 4, 8 and 12
union of the set = 4, 6, 8, 12
number of acceptable value = 4
The probability of getting a multiple of 6 or a multiple of 4 = number of acceptable value / number of possible value
probability of getting a multiple of 6 or a multiple of 4 = 4 / 15 = 4 / 15
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Which equation is a point slope form equation for line AB?
a) y−2=−2(x+6)
b) y−2=−2(x+2)
c) y−6=−2(x+2)
d) y−2=2(x+2)
Answer:
the answer is c
Step-by-step explanation:
Answer:
c) y−6=−2(x+2)
Step-by-step explanation:
The general point slope form equation is:
y - y1 = m*(x - x1)
where x and y are the variables, (x1, y1) is the coordinate of a point on the line and m is the slope of the line.
To calculate the slope of the line we need two points on the line (x1, y1) and (x2, y2) and the following equation:
m = (y2 - y1)/(x2- x1)
Coordinates of point A: (-2, 6)
Coordinates of point B: (2, -2)
Replacing into the equation:
m = (6 - (-2))/(-2 - 2)
m = 8/(-4)
m = -2
Replacing this value and coordinate of point A into the general point slope equation we get:
y - 6 = -2*(x - (-2))
y - 6 = -2*(x + 2)
a) 1
b) -20
c) 20
d) 7
[tex]f(x)=x^2;\ g(x)=x-3\\\\(g\ \circ\ f)(x)=(x^2)-4=x^2-3\\\\\text{Put x = -2 to the equation}\\\\(g\ \circ\ f)(-2)=(-2)^2-3=4-3=1\to\boxed{a)}[/tex]
Mark and Bonnie both make $11 per hour working for their parents. If they combine their efforts and work for the same amount of hours, which expression would NOT show their total combined earning
Michael and Imani go out to eat for lunch.
Part A
If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill?
Part B
If Michael and Imani add an 18% tip to the bill, what does their lunch cost in total?
Answer:
Part A: $27.32
Part B: $32.24
Step-by-step explanation:
Part A:
$25.30 is the cost, since we are increasing it by the 8% meals tax, we are going to do 25.3 * the decimal form of 8%, or 0.08, plus one so that we already have our 25.3 factored in. Which equals 25.3 * 1.08, which equals 27.324, which we round to $27.32.
Part B:
We take our $27.32 and we times it by 1.18 for the reason stated above, which equals 32.2376, which is rounded to $32.24.
How many outcomes are in the sample space
Answer:
The number of objects multiplied.
Step-by-step explanation:
Say you have a dice and a spinner. The dice has 6 sides and the spinner has 4 sides. 6x4=24. So you take the number of outcomes of each object and multiply it.
A storeowner orders 25 calculators that cost $48 each. The storeowner can sell each calculator for $60. The storeowner sold 22 calculators to customers. He had to return 3 calculators that were never sold and pay a $2 charge for each returned calculator (although the initial cost is refunded). What is the storeowner's profit?
25*48=1,200
So we start at -1,200
22*60=1,320
So currently we are at a profit of $120.
120-6=114
Total profit: $114
As per the given values, the storeowner's profit is $114.
Explanation:Total number of calculators = 25
Cost of calculators = $48
The amount at which they can be sold = $60.
To calculate the storeowner's profit, we need to consider the total cost and total revenue.
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i am confused help plz
Answer:
Step-by-step explanation:
a 6(m+3)
b expression
equation
Which is the graph 3x + 5y=-15
It's a linear function. We need only two points to the plotting of the graph.
[tex]3x+5y=-15\qquad\text{subtract 3x from both sides}\\\\5y=-3x-15\qquad\text{divide both sides by 5}\\\\y=-\dfrac{3}{5}x-3\\\\for\ x=0\to y=-\dfrac{3}{5}(0)-3=0-3=-3\to(0,\ -3)\\\\for\ x=-5\to y=-\dfrac{3}{5}(-5)-3=-3+3=0\to(-5,\ 0)[/tex]
A round cake has a diameter of 30 cm. Angela places the cake on a circular cake board with a diameter 5 cm longer than that of the cake. What is the circumference of the cake board? Give your answer in terms of pi π
Answer:
C = 35 pi
Step-by-step explanation:
The new diameter is 5 + 30 = 35
The circumference = pi * d
The circumference = 35*pi
Answer:
35π cm
Step-by-step explanation:
Hope this helps!
This table represents a function. Plot points to represent the function as a graph.
X Y
-4 10
0 8
4 6
10 3
Answer:
it says it already a function so your just plotting (-4,10) (0,8) (4,6) (10,3) on a graph, there isnt a graph to do it for you. Sorry if im reading this wrong :(
Step-by-step explanation:
Answer:
The points represent a linear function (first-order polynomial).
Step-by-step explanation:
The points are included in the attached image, which depicts a constant slope and, consequently, represents a linear function (first-order polynomial).
Use the Counting Principle to find the probability of rolling a 4 on each of 3 number cubes
Answer:
[tex]\frac{1}{216}[/tex]
Step-by-step explanation:
We have been given that three cubes are being rolled and we are required to find the probability of getting 4 on each of the three cubes.
We know the probability of rolling a 4 on one cube will be [tex]\frac{1}{6}[/tex]. Since there are 3 cubes, the probability of rolling 4 in each of the individual cubes will be [tex]\frac{1}{6}[/tex].
But we want 4 to be rolled on all three cubes at once, in order for that to happen, we need to get a four on first cube AND second cube AND third cube. Since there is AND between the events, we will multiplied their probabilities as per counting principle. Thus, the required probability of rolling 4 on each of the three cubes is [tex]\frac{1}{6}\cdot\frac{1}{6}\cdot\frac{1}{6}[/tex] which simplifies to [tex]\frac{1}{216}[/tex].
there are 54 girls in a bowling league. there are 2 girls for every boy in the league. how many boys are in the league?
Answer:
27 boys
Step-by-step explanation:
1. divide 54 by 2
the answer will come up to 27.
to check your work you can do 27 times 2
27 × 2 = 54