Answer:
11 1/12
Step-by-step explanation:
Simplify: |15 − 12|4 − ∣∣−21 + 98∣∣
Step-by-step explanation:
[tex] = \frac{ |15 - 12| }{4} - | \frac{ - 21 + 9}{8} | [/tex]
[tex] = \frac{ |3| }{4} - \frac{ | - 12| }{ |8| } [/tex]
[tex] = \frac{3}{4} - \frac{12}{8} [/tex]
[tex] = \frac{3}{4} - \frac{6}{4} [/tex]
[tex] = - \frac{3}{4} [/tex]
Option → B
The simplified value of the Expression [tex]\(\left| \frac{(15 - 12)}{4} \right| \times \left| \frac{(-21 + 9)}{8} \right|\)[/tex] in fractional form is 9/8.
To simplify the expression: [tex]\(\left| \frac{(15 - 12)}{4} \right| \times \left| \frac{(-21 + 9)}{8} \right|\)[/tex]
Step 1: Perform the calculations inside the absolute value signs:
[tex]\(\left| \frac{3}{4} \right| \times \left| \frac{-12}{8} \right|\)[/tex]
Step 2: Simplify the fractions inside the absolute value signs:
[tex]\(\left| \dfrac{3}{4} \right| \times \left| \dfrac{-3}{2} \right|\)[/tex]
Step 3: Evaluate the absolute values of the fractions:
[tex]\(\left| \dfrac{3}{4} \right| = \dfrac{3}{4}\)[/tex]
This is because the absolute value of any positive number is itself
[tex]\(\left| \dfrac{-3}{2} \right| = \dfrac{3}{2}[/tex]
and, the absolute value of a negative number is the positive version of that number.
Step 4: Multiply the absolute values:
= 3/4 x 3/2
Step 5: Multiply the fractions:
= 9/8
So, the simplified expression is 9/8.
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Clayton is setting tables at the restaurant where she works. She starts with a pile of 85
napkins, and she places 6 napkins on every table she sets. After Clayton sets all the tables,
there are 25 napkins left. How many tables are there?
Write and solve an equation to find the answer.
Answer:
10 tables is the answer
Step-by-step explanation:
I did IXL and got it correct
PLS HELP MEEE
Determine which lines, if any, are parallel. Choices may be repeated and some might not be used at all.
Answer:
Step-by-step explanation:
Which congruent parts are marked
Answer:
a
Step-by-step explanation:
What type of protein allows cells to communicate with each other
Answer:
Receptor proteins
Step-by-step explanation:
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.40 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent.
Answer:
$ 80.22
Step-by-step explanation
Assumed 20% tip is on the discounted meal.The cost of the meal is $78.65
The cost of the meal after discount (15%)is 78.65(1−0.15)≈$ 66.85
Tip (20%) is : 66.85⋅0.2$13.37
Total cost of the meal is
66.85+13.37≈$80.22 [Ans]
gerald pays $90 for 6 baseball lessons. what is the cost per lesson
Answer:
$15
Step-by-step explanation:
90/6=15
The numbers 0 and 1 have special properties that are shared by no other numbers for each of the following , decide whether the property is true for 0,1 both or neither
PLEASE HELP ME WITH NUMBER 42
Answer:
Y < X
Z > X
ZY = X
Explanation
-2 < -1
1 < -1
1-2 = -1
Someone Help Me I Gladly Appreciate It
Answer:
⁵/₈.b + ⁴/₅
Step-by-step explanation:
Simply combine like terms, so the two terms involving b;
The expression cannot be simplified further.
You could take out a common divisor, which is the multiplication of the two denominators:
¹/₄₀.(25b + 32)
But this is not necessarily simpler so the answer above is acceptable
what is the definition of unit rate
Answer:
A unit rate means a rate for one of something.
Step-by-step explanation:
We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
Answer:
A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
Step-by-step explanation:if that gave you a good answer like or comment
Pls I need help!!!! Will mark Brainiest!!!
Answer:
2×10^3 ans2000
Step-by-step explanation:
2.5×10^3 is 2.5×1000=2500
5000000/2500=2000
In scientific notation that would be 2×10^3
Question Write an equation of the line passing through the point A(3, −1) that is parallel to the line y = 1/3x+10.
Answer:
y= 1/3x - 2
Step-by-step explanation:
Write an equation of a line that is perpendicular to y = 3x + 4
Answer:
[tex]y = - \frac{1}{3} x + 2[/tex]
Step-by-step explanation:
Slope-intercept form
y= mx +c, where m is the slope and c is the y-intercept.
y= 3x +4
Since the given equation is already in the slope-intercept form, we can easily identify the slope of this line by looking at the coefficient of x.
slope= 3
The product of the slopes of perpendicular lines is -1. Let the slope of the perpendicular line be m.
m(3)= -1
Divide both sides by 3:
m= -⅓
y= -⅓x +c
Since the question does not specify the points the perpendicular line passes through, c can be any integer.
Thus, the equation of the perpendicular line could be y= -⅓x +2.
The sum of 2 and b is less than or equal to 26
PLEASE HELP :C
2+b <= 26
solving for b,
b<=24
you earn $48 for washing 6 cars. How much money do you earn for washing 3 cars
Answer: $24
Step-by-step explanation: 3 is half of 6 and if you gain $48 for washing 6 cars then half it half of 6 is 3 and half of $48 is $24
-8=-16+m
pls show work! ty
Answer:
m = 8
Step-by-step explanation:
-8 = -16 + m
Switch sides.
-16 + m = -8
Add 16 to both sides.
m = 8
3. Determine the measure of angle 1 in the figure.
Lamar bought 4 CDs that were each the same price. Including sales tax, he paid a total of $62.40. Each CD had a tax of 0.70. What was the price of each CD before tax?
What are the domain and range of the function f(x) = 2^x+1?
Answer:
Domain: (-∞, ∞)
Range: (0,∞)
Step-by-step explanation:
Exponential functions are curves which approach a horizontal asymptote usually at y=0 or the x-axis unless a value has been added to it. If it has, the curve shifts. This function has addition on the exponent but not to the whole function so it does not change the asymptote. Its y - values remain between 0 and ∞. This is the range, the set of y values.
However, the range of exponentials can change based on the leading coefficient. If it is negative the graph flips upside down and its range goes to -∞. This doesn't have it either.
The addition to 1 on the exponent shifts the function to the left but doesn't change the range.
In exponential functions, the x values are usually not affected and all are included in the function. Even though it shifts, the domain doesn't change either. Its domain is (-∞, ∞).
Domain: (-∞, ∞)
Range: (0,∞)
17. Which is written in scientific notation correctly?
A
-44.4 x 102
B
4
-0.4 x 10-2
4 x 10-2
D
0.44 X 102
Answer:
Step-by-step explanation:
To make an enclosure for chickens, a rectangular area will be fenced next to a house. Only three sides will need to be fenced. There is 120 ft of fencing material. What quadratic function represents the area of the rectangular enclosure, where x is the distance from the house? What dimensions will maximize the area of the enclosure?
Answer:
Let the length parallel to the house be y
let each of the other two equal sides be x
2x + y = 120
y = 120 - 2x
Area = xy
= x(120 - 2x) or -2x^2 + 120x
b) you want the vertex.
x of the vertex is -120/(-4) = 30
when x = 30
y = 60
Maximum area = xy = 1800 ft^2
The quadratic function that represents the area of the rectangular enclosure is -2x² + 120x and x = 30 and y = 60 will make the area maximize.
What is a rectangle?A rectangle is a geometrical figure in which opposite sides are equal.
The angle between any two consecutive sides will be 90 degrees.
Area of rectangle = length × width.
Perimeter of rectangle = 2( length + width).
Let's suppose the length parallel to the house is y
And the remaining side is x then,
Perimeter = x + x + y
2x + y = 120
y = 120 - 2x
The area of the rectangle = xy
Area = x(120 - 2x)
⇒ -2x² + 120x
To find the maximum first derivate of the function area with respect to x compare with zero.
d/dx(-2x² + 120x) = 0 ⇒ -4x + 120 = 0
x = 30 so y = 120 - 2(30) = 60
Hence "The quadratic function that represents the area of the rectangular enclosure is -2x² + 120x and x = 30 and y = 60 will make the area maximize".
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[tex]12\times 12\times 11[/tex]
answer please
a real answer!!!!!!!!
Answer:
its the first one and the third one
Step-by-step explanation:
find the slope of (-9,17) and (1,-13)
Answer:
-3
Step-by-step explanation:
[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]
Slope
[tex] = \frac{17 - ( - 13)}{ - 9 - 1} [/tex]
[tex] = \frac{17 + 13}{ - 10} [/tex]
[tex] = \frac{30}{ - 10} [/tex]
= -3
What is the value of x?
(Not multiple choice)
Answer:
x= 82°
Step-by-step explanation:
According to the angle sum property, sum of all angle in a triangle is 180°
45°+53°+x= 180°
98°+x= 180°
x= 180-98
x= 82°
Dragomir has 6 pairs of socks in a drawer. Each pair of socks is different from every
other pair in the drawer. He randomly removes 4 individual socks from the drawer,
one at a time. What is the probability that there is exactly 1 matching pair of socks
among these 4 socks?
Answer:
Step-by-step explanation:
12C4=495
10C2-5=40
40*6=240
240/495=48/79
The probability that there is exactly 1 matching pair of socks among these 4 socks is 48/79
What is Combination?A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Give:
Dragomir has 6 pairs of socks in a drawer.
So, [tex]^{12}C_4[/tex]
= 12! / 8! 4!
= 12 x 11 x 10 x 9 x 8! / 8! x 4x 3x 2
=495
again,
[tex]^{10}C_2[/tex]-5
= 10! / 8! 2! - 5
=45 - 5
=40
Thus, for 6 pairs of socks
= 40*6
=240
Hence, probability that there is exactly 1 matching pair of socks among these 4 socks = 240/495=48/79.
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Evaluate the expression: 3/5+2^2−2/5(8−6)÷3
Answer:
Exact value: 13/3
Mixed number form: 4 1/3
Step-by-step explanation:
Answer:
B. 4 1/3
Step-by-step explanation:
just did this on T4L
Please help me I really need this done
Answer:
the one on the top right
Step-by-step explanation:
it multiplies by 6 and shows 3/4 of the all the columns shaded in
Kirk has $60 in a savings account. The interest rate is 10%, compounded annually.
To the nearest cent, how much will he have in 3 years?
Answer:
1,800
Step-by-step explanation:
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