Answer:
The answer A. "The absolute value of a number gives its distance from zero on the number line."
Step-by-step explanation:
An absolute number has these in it '| |'. An absolute number always is positive, because it represents a difference.
For example, the difference of 0 and -30 is |30|.
Though 0 - 30 is -30, the DIFFERENCE is |30|.
As the answer says, "its distance from zero on the number line".
Final answer:
The absolute value of -9 equals the absolute value of 9, which is 9, because absolute value represents the distance from zero on the number line, and both -9 and 9 are 9 units away from zero, regardless of their direction.
Explanation:
The reason why |-9| = |9| is because the absolute value of a number refers to its distance from zero on the number line. This distance is always a non-negative number since it does not refer to direction, just the magnitude of separation from zero. Therefore, both -9 and 9 are 9 units away from zero, and their absolute values are equal.
In mathematical terms, the absolute value function, denoted by | |, strips away the sign of a number, turning any negative number into its positive counterpart. So, |9| is already positive, and |-9| transforms -9 into 9 because you remove the negative sign, rendering both absolute values equivalent.
Rewrite the equation B - 7,536 = 2t as a function of t.
Answer:
B = 2t + 7,536
Step-by-step explanation:
B - 7,536 = 2t
Add 7,536 to both sides.
B = 2t + 7,536
Linear equation 1+2x=5x+3
Answer:x=-2/3
Step-by-step explanation:
The diagram shows a sector of a circle of radius 6 units, formed from an angle of size 305°.
Find the exact length of the arc.
3050
The length of the arc is 31.92 units
Explanation:
Given that the sector of a circle of radius 6 units.
The angle is given by [tex]\theta=305^{\circ}[/tex]
Arc length of the circle:
The arc length of the circle can be determined using the formula,
[tex]\ {arc\ length}=2 \pi r\left(\frac{\theta}{360}\right)[/tex]
where r = 6 and [tex]\theta=305^{\circ}[/tex]
Substituting the values, we have,
[tex]\ {arc\ length}=2 \pi (6)\left(\frac{305}{360}\right)[/tex]
Multiplying the numerator, we have,
[tex]\ {arc\ length}=\frac{3660 \pi}{360}[/tex]
Substituting [tex]\pi=3.14[/tex], we have,
[tex]\ {arc\ length}=\frac{3660(3.14)}{360}[/tex]
Multiplying the terms, we get,
[tex]\ {arc\ length}=\frac{11492.4}{360}[/tex]
Dividing, we get,
[tex]\ {arc\ length}=31.92 \ units[/tex]
Thus, the arc length of the circle is 31.92 units
solve the inequality
2r^2-13x+15<0
Answer:
x > 2r^2/13 + 15/13
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
x > 2r^2/13 + 15/13
Answer: [tex]\bold{\dfrac{3}{2}<x<5\quad \rightarrow \quad \text{Interval Notation}: \bigg(\dfrac{3}{2},5\bigg)}[/tex]
Step-by-step explanation:
First, factor the inequality and solve for x to find the zeros.
Then, choose test points on the outside of those values and between them.
Plug them in to determine which one(s) yield a negative (< 0).
2x² - 13x + 15 < 0
(2x - 3)(x - 5) < 0
2x - 3 = 0 and x - 5 = 0
x = 3/2 and x = 5
I choose the left test point of 0 (2(0) - 3) × (0 - 5) > 0 (+)
I choose the between test point of 2 (2(2) - 3) × (2 - 5) < 0 (-)
I choose the right test point of 6 (2(6) - 3) × (6 - 5) > 0 (+)
Illustration of Graph:
+ --- +
←----|----------o----------------|---------------o--------------|----→
0 3/2 2 5 6
Since the "between" test point is the only one that yielded a negative, then the solution is the values between 3/2 and 5.
Heather flipped a coin five times, and each time it came up heads. Heather flips the coin one more time. Which is the theoretical probability that it will come up tails?
Answer:
1/2
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
The prior flips have no influence on the outcome of the 6th flip. its still a 50-50 chance to flip tails
Brain and Zach went to village grille for lunch. Brian's lunch cost $4 less than 3 times Zach's. The total cost for lunch was $25.How much did each boy spend on lunch?
Answer:
The cost for Zach's lunch is 12, and for Brain's lunch it cost 8.
Step-by-step explanation:
Since, I am sorry, you can answer from here in out. ;)
Zach spent $6 on lunch and Brian spent $19 on lunch.
Explanation:To solve this problem, we need to create an equation based on the given information.
Let's assume Zach's lunch cost x dollars.
According to the problem, Brian's lunch cost $4 less than 3 times Zach's lunch, which can be expressed as 3x - 4 dollars.
The total cost for lunch was $25, so we can write the equation: x + (3x - 4) = 25.
Solving this equation, we find that Zach spent $6 on lunch and Brian spent $19 on lunch.
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Help please like hurry!!
Answer: 36 square inches
Step-by-step explanation: The trapezoid is divided into three triangles.
The formula for the area of a triangle is 1/2(b*h). Replace the variables with the values in the drawing.
1/2(4*6)
= 1/2(24)
=12
There are 3 triangles, so multiply the area of 1 triangle (which is 12) by 3.
12*3
=36
Label the final answer.
36 square inches
A medication states that the odds of having an allergic reaction are 1 in 50. What is that probability states as a percent?
1/5
1/10
1/20
1/500
As a percent, the odds of having an allergic reaction would be 2%.
This is because 1 in 50 of a chance, is equal to 1/50, and to make this a percent out of 100, just multiply both parts of the fraction by 2.
None of the choices equal 1/50, so let's just make it a percentage anyway.
1/50 ---> 0.02
0.02 ---> 2%
The answer is 2%, or 1/50 as a fraction.
If x=36 and Y=4, how many of the following are rational numbers?
Answer:
2 of them
Step-by-step explanation:
sqr root xy and the sqr rt x/y
Which linear equation represents the data given in the table?
A) y = 6x + 6
B) y = 2x + 6
C) y = 6x − 6
D) y = 2x − 6
Answer:
the equation is C: y=6x-6
Answer:
Step-by-step explanation:
(1,0) (2,6)
(6-0)/(2-1)
6/1= 6
y - 0 = 6(x -1)
y = 6x - 6
answer is c
The sum of two numbers is 35.
Three times the larger number is
the same as 4 times the smaller
number. Find the larger number.
(HINT: Let x = larger number;
35 - X=smaller number.)
Answer:
Larger number(x)=20
Step-by-step explanation:
They're saying that the larger number 3 times is EQUAL(the same) to 4 times the smaller number.
The smallest number=35-x.
The larger number= x.
3 times the larger number=3x
4 times the smaller number=4(35-x)
Now, input it into an equation and solve:
3x=4(35-x) Distribute by multiplying 4 with 35 and x.
3x+4x=140-4x+4x Get 140 by itself by adding 4x.
7x/7=140/7 Divide.
x=20
Since x= the larger number, x=20.
To find the larger number when the sum of two numbers is given and the relationship between them is described, we can set up and solve an equation.
Explanation:To solve this problem, we can set up two equations based on the given information. Let x represent the larger number and 35 - x represent the smaller number. According to the problem, we have the equation 3x = 4(35 - x). Solving this equation will give us the value of x, which represents the larger number.
Expanding the equation, we have 3x = 140 - 4x. Combining like terms, we get 7x = 140. Dividing both sides by 7, we find that x = 20. Therefore, the larger number is 20.
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When solving this system of equations by elimination, which could be the resulting equation when a variable has been eliminated?
3x - 2y = 10
5x + y = 4
Answer:
Step-by-step explanation:
3x-2y=10
5x+y=4
15x-10y=50
15x+3y=12
-13y=38
y=-38/13
Substitute for y
x=54/39
A contractor purchases 4 dozen pairs of padded work gloves for $56.16. He incorrectly calculates the unit price as $14.04 per pair for the expense report. What is the correct unit price? What is the error?
Answer:
$1.17 per glove
Step-by-step explanation:
56.16 divided by 4 then divide that number by 12
A circle has a circumference of 150 meters. What is the measure of its radius? Round
to the nearest tenth.
circumferend
What is the measure of its radius?
Answer:
R = 23.9
Step-by-step explanation:
formula for circles circumfrence is, C = 2*3.14*R
in this one we have to work backwards so we plug wut we have.
150 = 2* 3.14*R
we divide 150 by 2 so it will be
75 = 3.14R
now we divide 75 by pi so wwe get
23.8732414638 = R
Now we round it to nearest tenth
R = 23.9
An international company has 12,700 employees in one country. If this represents 27.1% of the company's employees, how many employees does it have in total?
The international company has 46864 employees in total.
Step-by-step explanation:
Given that,
An international company has 12,700 employees in one country.
And, this 12,700 employees represents 27.1% of the company's employees.
Therefore, the total number of employees can be found by calculating the 100% of the employees.
Let us assume that the total number of the employees be 'x'.
From the x number of employees, 12,700 employees were 27.1%
Now, framing the above statement in the equation form to solve for x :
⇒ 27.1 % of x = 12700
⇒ (27.1 / 100) x = 12700
⇒ 0.271 x = 12700
⇒ x = 12700 / 0.271
⇒ x = 46863.5 (which is approximately 46864 employees)
Therefore, the total number of employees is 46864.
Pleaseeee helppppp me
Answer:
Step-by-step explanation:
Good luck
Convert each degree measure into radians.
1) -290°
Answer:
-290/180 × pi
-29pi/18
Or, -5.06
A factory sells backpacks for $35 each. The cost to make 1 backpack is $15. In addition to the cost of making backpacks, the factory has operating expenses of $11,000 per week. The factory's goal is to make a profit of at least $7,800 per week. Write and solve an inequality that represents the number of backpacks, x, that need to be sold? *
Answer:9400 backpacks
[tex]\geq[/tex]Step-by-step explanation
since the number of packs to be sold in a is represented by x,
selling price for 1 week = 35x
cost price for 1 week = 15x
profit = 35x-15x = 20x
additional cost of production = 11,000
this implies that 20x - 11,000 [tex]\geq[/tex] 7800
20x - 11,000 [tex]\geq[/tex] 7,800
20x [tex]\geq[/tex] 7800+ 11000
20x [tex]\geq[/tex] 18,800
x [tex]\geq[/tex] 18800/2
x [tex]\geq[/tex] 9,400
at least 9,400 packs have to be sold each week to make a profit of $7800
17. (-3, y) and (1, -7); m = -4
y-y1=m(x-x1) where (x1, y1)=(1, -7)
y+7=-4(x-1)
y+7=-4x+4
y+7=(-4x+4)*4
y+7=-x+16
y=-x+9
-----------------
y=9−x
y−9=−x
−y+9=x
9−y=x
x=9−y
-----------------
x=9−y
y*x=9 put 1 in for x
y=9
The value of [y] in the coordinate (-3, y) through which the line passes is 9 units.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
Where -
m is the slope of the line.
c is the y - intercept
Given is a line that passes through the points (-3, y) and (1, -7). The slope of this line is m = -4.
We can write from the above data -
The coordinates through which the line passes are → (-3, y) and (1, -7)
Now, the general equation of line -
y = mx + c
So -
- 7 = -4 x 1 + c
- 7 = -4 x 1 + c
- 7 = - 4 + c
c = - 7 + 4
c = - 3
Therefore, we can write, for coordinate (-3, y) as -
y = -4 x -3 - 3
y = 12 - 3
y = 9
The value of [y] will be 9 units.
Therefore, the value of [y] in the coordinate (-3, y) is 9 units.
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4x - 5y = 14
If y = 2, what value of x satisfies the given equation?
A) 6
B) 8
C) 10
D) 24
Answer:
A
Step-by-step explanation:
Given
4x - 5y = 14 ← substitute y = 2 into the equation and solve for x
4x - 5(2) = 14, that is
4x - 10 = 14 ( add 10 to both sides )
4x = 24 ( divide both sides by 4 )
x = 6 → A
(5.2x10^-1)(1.5x10^-5)
Answer:
(10^-6) (5.2x1.5 )=10^-6 x 7.8 = 7.8 x10^-6
Step-by-step explanation:
0.000001 x7.8=0.0000078
8 yo the power of 2 ÷4×(2+3)-9
For problem 2, f(2) =
A. 8
B. 16
C. 124
Hello! Remember you have to write complete question in order to get good and exact answers. Here you haven't provided any function, so I'll help you providing this one:
[tex]f(x)=3x^2+5x-6[/tex]
So [tex]f(2)[/tex] means that you need to evaluate the function when [tex]x=2[/tex]. In other words:
[tex]f(2)=3(2)^2+5(2)-6 \\ \\ f(2)=3(4)+10-6 \\ \\ f(2)=12+12-6 \\ \\ \boxed{f(2)=16}[/tex]
In this context:
Correct option is B. 16
Jada received a $20 dollar iTunes gift card for her birthday. She download 6 songs which each cost $0.97 and 1 app which cost $2.64 how much money js left on jade gift card
Answer:
Step-by-step explanation: 0.97 times 6 to get 5.82
Then 2.64 plus 5.82 to get 8.46
Lastly 20 - 8.46 = 11.54
If 1/2 cup of fruit cocktail 13g of sugar, then 1 1/4 cup of fruit cocktail contains how many grams of sugar?
Answer: 32.5g of sugar
Step-by-step explanation:
if 1/2 cup of fruit cocktail is 13g of sugar then half of that, or 1/4 cup is going to be 6.5g of sugar. With that in mind, multiplying our 1/2 by 2 to give us one full cup of fruit cocktail will tell us that there is 26g of sugar in one cup. Adding our 1/4 cup to our whole cup will give us 32.5g of sugar in 1 1/4 cups of fruit cocktail.
Answer: There are 32.5g of sugar in 1 1/4 cup of fruit cocktail.
Step-by-step explanation:
13/2= 6.5
1/4 cups = 6.5g of sugar
6.5x5= 32.5g
Hope this helps!
I don't get the question ¯\(°_o)/¯
Answer:
the correct answer is the first option
Step-by-step explanation:
you just need to put the numbers from highest to lowest
dead sea = 1312
lake assal =512
death valley = 282
valdes peninsula = 131
caspian sea = 92
plz mark me as brainliest :)
What are the steps of adding and subtracting a fraction?
Step-by-step explanation: To add and subtract fractions with the same denominator, or bottom number, place the 2 fractions side by side. Add or subtract the numerators, or the top numbers, and write the result in a new fraction on the top. The bottom number of the answer will be the same as the denominator of the original fractions.
Write down the square number between 26 and 63 that is odd?
Ans is 49.
If we multiply 7*7 then we can get 49 as result.49 is the square number of 7.
HOPE THIS WILL HELP U..✌
The square number between 26 and 63 that is odd will be 49.
What is the number pattern?A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.
The number is between 26 and 63.
26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63
From the given numbers,
49 is the square number between 26 and 63 which is odd.
Here, 7 × 7 = 49
Therefore, the square number between 26 and 63 is 49
odd is 49 as 7 × 7 = 49.
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What is the value of x?
Answer:
80
Step-by-step explanation:
In a small U.S. city, the ratio of people to cars is approximately 1.85 : 1. If 12,100 people live in
the city, to the nearest 100 cars, approximately how many cars are in the city?
Answer:
[tex]6,500\ cars[/tex]
Step-by-step explanation:
Let
x ---> the number of people
y ---> the number of cars
we know that
The ratio of people to cars is approximately 1.85 : 1
so
[tex]\frac{x}{y}=\frac{1.85}{1}[/tex]
[tex]x=1.85y[/tex] -----> equation A
12,100 people live in the city
so
[tex]x=12,100[/tex]
substitute the value of x in the equation A
[tex]12,100=1.85y[/tex]
solve for y
[tex]y=6,540.54\ cars[/tex]
to the nearest 100 car
[tex]y=6,500\ cars[/tex]
Final answer:
To find the number of cars in the city, divide 12,100 by the ratio of people to cars (1.85:1), resulting in approximately 6,540.05 cars. Rounded to the nearest hundred, the city has about 6,500 cars.
Explanation:
The question is about finding the number of cars in a small U.S. city given the ratio of people to cars is approximately 1.85:1 and there are 12,100 people living in the city. To solve this, we divide the total number of people by the given ratio to find the approximate number of cars. Firstly, find the proportion of cars to people by taking the reciprocal of 1.85, which gives us approximately 0.5405. Then, multiply this proportion by the total population to estimate the number of cars.
Calculation:
Number of cars = Total population × Proportion of cars to people
Number of cars = 12,100 × 0.5405 ≈ 6,540.05
Rounded to the nearest hundred, the city has approximately 6,500 cars.