Answer:
6
Step-by-step explanation:
b(x) = |x + 4|
b(-10) = |-10 + 4|
-10 + 4 = -6
|-6| = 6
b(-10) = 6
Hey!
----------------------------
Solution:
b(x) = |x + 4|
b(-10) = |-10 + 4|
b(-10) = |-6|
b(-10) = |6|
----------------------------
When you see two lines next to a number, it mean the absolute value of that number. So if you have |-5| the absolute value is |5|.
----------------------------
Answer:
6
----------------------------
Hope This Helped! Good Luck!
Six more than the product of a number and 7 is 4.
Answer:
[tex]- \frac{1}{2}[/tex]
Step-by-step explanation:
6x+7=4
6x+7-7=4-7
6x=-3
[tex]\frac{6x}{6}[/tex]=[tex]\frac{-3}{6}[/tex]
x=[tex]-\frac{1}{2}[/tex]
find the width and height of an older 40 inch television that has an aspect ratio of 4:3 find the area of this screen
Answer:
768 square inches
Step-by-step explanation:
see attached
The width and height of the 40 inch television with a 4:3 aspect ratio are 32 inches and 24 inches respectively. The area of the screen is 768 square inches.
Explanation:To find the width and height of an older 40 inch television with an aspect ratio of 4:3, we can use the formula:
Width = aspect ratio * height
Since the aspect ratio is 4:3, we divide the width by 4 and multiply by 3 to find the height.
Therefore, the width of the television is 32 inches and the height is 24 inches.
To find the area of the screen, we use the formula:
Area = width * height
Substituting the values, we get:
Area = 32 inches * 24 inches
Therefore, the area of the screen is 768 square inches.
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Consider the following system of equations.
y=6x^2+1
y=x^2+4
Which statement describes why the system has two solutions?
Each graph has one y-intercept, which is a solution.
Each graph has one vertex, which is a solution.
The graphs of the equations intersect the x-axis at two places.
The graphs of the equations intersect each other at two places.
D.) "The graphs of the equations intersect each other at two places."
On a coordinate plane, parallelogram P Q R S is shown. Point P is at (negative 2, 5), point Q is at (2, 1), point R is at (1, negative 2), and point S is at (negative 3, 2). In the diagram, SR = 4 StartRoot 2 EndRoot and QR = StartRoot 10 EndRoot. What is the perimeter of parallelogram PQRS? StartRoot 10 EndRoot units 8 StartRoot 2 EndRoot + 2 StartRoot 10 EndRoot units 16 StartRoot 2 EndRoot units 8 StartRoot 2 EndRoot + 8 units
Answer:
The perimeter of parallelogram PQRS = [tex]2\sqrt{10}+8\sqrt{2}[/tex] ⇒
2nd answer
Step-by-step explanation:
* Lets revise some properties of the parallelogram
- Each two opposite sides are parallel
- Each two opposite sides are equal
- Its perimeter is the twice the sum of two adjacent sides
* Lets solve the problem
∵ PQRS is a parallelogram
∵ The length of side SR is [tex]4\sqrt{2}[/tex]
∵ The length of side QR is [tex]\sqrt{10}[/tex]
∵ SR and RQ are two adjacent sides
∵ The perimeter of parallelogram PQRS = 2(RQ + SR)
∴ The perimeter of parallelogram PQRS = [tex]2(\sqrt{10}+4\sqrt{2})[/tex]
∵ [tex]2*\sqrt{10}[/tex] = [tex]2\sqrt{10}[/tex]
∵ [tex]2*4\sqrt{2}[/tex] = [tex]8\sqrt{2}[/tex]
∴ The perimeter of parallelogram PQRS = [tex]2\sqrt{10}+8\sqrt{2}[/tex]
The required perimeter of parallelogram PQRS is [tex]8\sqrt{2} + 2\sqrt{10}[/tex] units.
Given that,
On a coordinate plane, parallelogram PQRS,
There points are P is at (-2, 5), point Q is at (2, 1), point R is at (1, -2), and point S is at (-3, 2),
Length of SR = [tex]4\sqrt{2}[/tex] and QR = [tex]\sqrt{10}[/tex].
We have to find,
The perimeter of parallelogram PQRS.
According to the question,
The properties of the parallelogram is each two opposite sides are parallel and each two opposite sides are equal.
Its perimeter is the twice the sum of two adjacent sides
Then, PQRS is a parallelogram,
SR and RQ are two adjacent sides,
The perimeter of parallelogram PQRS = 2(RQ + SR)
The perimeter of parallelogram PQRS = [tex]2 ( 4\sqrt{2} + \sqrt{10} )[/tex]
The, The perimeter of parallelogram PQRS = [tex]8\sqrt{2} + 2\sqrt{10}[/tex].
Hence, The required perimeter of parallelogram PQRS is [tex]8\sqrt{2} + 2\sqrt{10}[/tex] units.
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Help me out. Can you figure this one out?
Answer:
x = 62
Step-by-step explanation:
Given that 2 sides of the triangle are congruent ( both 6 ), then the triangle is isosceles and the 2 base angles are congruent, thus
x = 0.5( 180 - 56)° = 0,5 × 124° = 62°
Laura is selling raffle tickets. for every 4 tickets, she charge $28
Answer:
$7.oo for one ticket
Step-by-step explanation:
if Laura is selling 4 tickets for $28 then you would divide 28 by 4 and that's your answer.
the volume of a cylinder is about 1632 in. the height of the cylinder is 24 in. what is the area of the base?
Answer:
68 square inches
Step-by-step explanation:
Volume = Area × height
1632 = A × 24
A = 1632/24
= 68 inches squared
The area of the base of the cylinder is 68 inches².
What is a cylinder?A cylinder is a three-dimensional figure that has a radius and a height.
The volume of a cylinder is given as πr²h.
Example:
The volume of a cup with a height of 5 cm and a radius of 2 cm is
Volume = 3.14 x 2 x 2 x 5 = 62.8 cubic cm
We have,
Volume = 1632 inches
Height = 24 inches
Volume = 1632
πr²h = 1632
πr² = 1632 / 24 = 68
Area of the base.
= πr²
= 68 inches²
Thus,
The area of the base is 68 inches².
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5. A grocer wishes to mix two kinds of nuts costing
$2.41 per pound and $3.65 per pound to make a
248 pounds of mixed nuts costing $2.51 per pound.
To determine the number of pounds of the $2.41
per pound nuts in the mixture, solve for x in the
equation 2.41x +3.65(248 - x) = 622.48. How
many pounds of the $2.41 per pound nuts should
included in the mixture?
Ans:
The solve for x:
2.41x+3.65(248-x)=622.48
2.41x+3.65×248-3.65x=622.48
2.41x-3.65x+905.2=622.48
-1.24x=622.48-905.2
-1.24x= -282.72
x= -282.72÷ -1.24
x=228
Pounds of nuts nper pound $2.41should be included:
228× $2.41
=549.48
Hope it Helps!
The grocer should include approximately 227.84 pounds of the nuts that cost $2.41 per pound.
The grocer is trying to find the right balance of two kinds of nuts to reach a desired price point for a mix. The equation provided should be solved for x, which represents the number of pounds of nuts costing $2.41 per pound. Here is a step-by-step solution:
Begin with the given equation: 2.41x + 3.65(248 - x) = 622.48.
Distribute 3.65 across the parentheses: 2.41x + 3.65 * 248 - 3.65x = 622.48.
Combine like terms: -1.24x + 904.80 = 622.48.
Subtract 904.80 from both sides of the equation: -1.24x = -282.32.
Divide both sides by -1.24 to find x: x = 227.84.
So, the grocer should include approximately 227.84 pounds of the nuts that cost $2.41 per pound.
Solve for xxx.
-9x+5< 17\quad \maroonC{\text{ AND}} \quad 13x+25<-1−9x+5<17 AND13x+25<−1
To solve the inequalities, isolate x in each. The solution for -9x + 5 < 17 is x > -4/3 and the solution for 13x + 25 < -1 is x < -2. The intersection of these solutions, and thus the solution to the compound inequality, is x < -2.
Explanation:We can solve the inequalities separately, then find the intersection of their solution sets. First, let's solve the inequality -9x + 5 < 17. To do this, we subtract 5 from both sides to isolate the term with x which gives -9x < 12. Finally, we divide both sides by -9, remembering to flip the inequality sign since we divided by a negative. This gives x > -4/3.
The second inequality 13x + 25 < -1 can be solved similarly. Subtracting 25 from both sides will get 13x < -26. Divide both sides by 13 to find that x < -2.
The final answer will be the intersection of the two solutions. Since x < -2 is a stricter condition than x > -4/3, the solution to the compound inequality is x < -2.
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What is the answer to -2+25x+17=-35
Your Answer is x = −2
Hope this Helps.
What is the unit and standard form for 10 x 3 tens
Answer:
300
Step-by-step explanation:
All you do is multiply 10 by 30 [3 tens] to get three hundred.
I am joyous to assist you anytime.
What is the simplified form of the fraction 108/162 ?
Answer:
Reduced fraction: 2/3
Answer: 2/3
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 108 and 162 is 54
Divide both the numerator and denominator by the GCD
108 ÷ 54
162 ÷ 54
Reduced fraction:
2
3
Therefore, 108/162 simplified to lowest terms is 2/3.
Is 2/3 and 8/12 in equivalent ratio
Answer: if your question here is if they are the same since it says equivalent then yes
Step-by-step explanation: 2/3 = 8/12
What is 2.6666 as a fraction
To write 2.6666 as a fraction, write 2.6666 as the numerator with 1 as the denominator.
2.6666/1
Now you multiply numerator and denominator by 10000 to make the numerator a whole number ( no decimals)
26666/10000
Both numbers are even and can be divided by 2:
The fraction becomes: 13333/5000
7.21 repeating as a fraction
Answer: 721/100 is 7.21 as a simplified fraction.
Answer:
7.21 as a numerator and put 1 as a denominator now you multiply numerator and denominator by 10 as long as get in numerator the whole number 7.21=7.21 /1=7.21/10=7.21/100 and finally we have 7.21 as a fraction equals 7.21/100
Step-by-step explanation:
Donna was playing a trivia game where you gained points for correct answers and lost points for incorrect answers. At the start of round 2 she was at −300 points. During round 2 she answered twelve 50 point questions correct and she answered four 50 points questions incorrect. What was her score at the end of the round 2? A) 50 B) 100 C) 200 D) 400
Step-by-step explanation:
B 100
Answer:
B
Step-by-step explanation:
what could these numbers be?
Answer:
A could be 50
e could be 120
d/o could be 150
e could be 180
write 32/10 as a whole or mixed number in simplest form
Step-by-step explanation:
To get the simplest form keep dividing until you can't anymore. So first I'll divide by 2 which equals 16/5 which can't be divided anymore because there is no common denominator.
The length of a rectangle is 10 units longer than its width. If the total perimeter of the
rectangle is 44 units, what is the width?
The width of the rectangle will be equal to 12 units.
What is a perimeter?Perimeter is defined as the sum of all the sides of the given shape. The rectangle has four sides then the perimeter of the rectangle will be the sum of all the sides of the rectangle.
Given that length of a rectangle is 10 units longer than its width. The total perimeter of the rectangle is 44 units.
The width of the rectangle will be calculated as below:-
2l + 2w = P
2(10) + 2w = 44
20 + 2w = 44
2w = 24
w = 12
Therefore, the width of the rectangle will be equal to 12 units.
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13822 to 1 significant figure
If you wanna round 13822 to 1 significant figure you will need to find the nearest 10k, which is 10000 in this case
10000 = 1 . 10^4
That means
13822 ≈ 1 . 10^4 = 1(overline)0000
The Significant Figures will be 5 if the number is 13822 after using the definition of the Significant Figures the answer is 5.
What are significant figures?Significant digits are the figures in a number that express the value -the size of a quantity to a specified degree of accuracy.
It is given that:
13822 to 1 significant figure
The number is 13822
Answer: 13822
Significant Figures: 5
Decimals: 0
Scientific Notation: 1.3822e+4
Thus, the Significant Figures will be 5 if the number is 13822 after using the definition of the Significant Figures the answer is 5.
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The length of a rectangle is 6 inches longer than it’s width. The perimeter is 96 inches. Find the dimensions (length and width) is the rectangle
Final answer:
To find the dimensions of the rectangle, we used the perimeter formula and set up equations to solve for the width (21 inches) and length (27 inches), given that the length is 6 inches longer than its width and the perimeter is 96 inches.
Explanation:
To solve for the dimensions of the rectangle when the length is 6 inches longer than its width and the perimeter is 96 inches, we need to set up two equations based on the perimeter formula for a rectangle, which is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.
Let w represent the width of the rectangle. Then, the length of the rectangle is w + 6 inches. By substituting these into the perimeter formula, we get:
96 = 2(w + 6) + 2w96 = 2w + 12 + 2w96 = 4w + 1284 = 4ww = 21Now that we know the width is 21 inches, we can find the length by adding 6 inches to the width:
Length = Width + 6 = 21 + 6 = 27 inchesTherefore, the dimensions of the rectangle are 27 inches in length and 21 inches in width.
Final answer:
To find the dimensions of the rectangle, we used the perimeter formula and set up equations to solve for the width (21 inches) and length (27 inches), given that the length is 6 inches longer than its width and the perimeter is 96 inches.
Explanation:
To solve for the dimensions of the rectangle when the length is 6 inches longer than its width and the perimeter is 96 inches, we need to set up two equations based on the perimeter formula for a rectangle, which is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.
Let w represent the width of the rectangle. Then, the length of the rectangle is w + 6 inches. By substituting these into the perimeter formula, we get:
96 = 2(w + 6) + 2w
96 = 2w + 12 + 2w
96 = 4w + 12
84 = 4w
w = 21
Now that we know the width is 21 inches, we can find the length by adding 6 inches to the width:
Length = Width + 6 = 21 + 6 = 27 inches
Therefore, the dimensions of the rectangle are 27 inches in length and 21 inches in width.
For a field trip 20 students rode in cars and
the rest filled nine buses. How many
students were in each bus if 236 students
were on the trip?
it is 11 students in the bus
The width of a rectangular park is 23.4 yards. What is the perimeter of the park if the length is 2.5 times larger than the width.
Answer:
163.8 yd
Step-by-step explanation:
The perimeter of a rectangle is twice the length added to twice the width.
The width is 23.4 yd.
The length is 2.5 times the width, so to find the length, we multiply the width by 2.5.
length = 2.5 * width = 2.5 * 23.4 yd = 58.5 yd
The length is 58.5 yd.
perimeter = 2 * length + 2 * width
perimeter = 2 * 58.5 yd + 2 * 23.4 yd
perimeter = 117 yd + 46.8 yd
perimeter = 163.8 yd
[tex]Hey![/tex]
-------------------------------------------------
[tex]\large\boxed{Perimeter~of~the~retangular~park~is~163.8~yards!}[/tex]
-------------------------------------------------
[tex]Steps To Solve:[/tex]
[tex]Find~the~length.[/tex]
[tex]23.4~*~2.5~=~58.5[/tex]
[tex]Find~the~perimeter.[/tex]
[tex]p~=~(length~*~2)~+~(width~*~2)[/tex]
[tex]p~=~(58.5~*~2)~+~(23.4~*~2)[/tex]
[tex]p~=~117~+~46.8[/tex]
[tex]p~=~163.8[/tex]
-------------------------------------------------
[tex]Hope~This~Helped!~Good~Luck![/tex]
Write a rule for the linear function with the following description. The graph contains the points (-3,-2) and (3, 0).
Answer:
[tex]y = \frac{1}{3} x -1[/tex]
Step-by-step explanation:
1. find the slope that includes the points (-3,-2) and (3,0)
[tex]\frac{y2-y1}{x2-x1} =m[/tex] ->slope
0-(-2)/3-(-3) = [tex]\frac{2}{6} (simplify) = \frac{1}{3}[/tex]
2. find the y-intercept
[tex]y = mx +b[/tex] -> slope-intercept form
plug in the y-coord. and the x-coord along with the slope you found (or rather I found) and solve. It could be from either coordinate given.
[tex]0=\frac{1}{3} (3)+b[/tex]
3. solve.
[tex]0 = 1 +b[/tex]
[tex]-1 = b[/tex]
4. write the equation with the slope and y-int you found and voila!
I’m looking for the answer to number 2
Answer: w = a/l
Step-by-step explanation:
If a = lw, then w = a/l
W = a/l is an equation to find the width if you already know both the a and l
Zenin earns $142 per shift at his new job. During a pay period, he works 12 shifts. What would his pay be for that period?
Answer:
total pay for his work is $1704
Step-by-step explanation:
given data
Zenin earns = $142 per shift
total shifty = 12
to find out
What would his pay for 12 shift
solution
we have given per shift charge and total shift
so
total pay for his work = total shift × per shift charge ................1
put here value
total pay for his work = 12 × $142
total pay for his work = $1704
Question:
15 5/12 - 11 1/8
A. 4 7/28
B. 4 7/12
C. -4 1/3
D. -4 7/24
11. Is the fraction 1/3 equivalent to a terminating
decimal or a decimal that does not terminate?
Answer:
It is equivalent to a decimal that does not terminate.
Step-by-step explanation:
When you divide 1 by 3, you get 0.33333333333333333333333333333333333333333333333333333 forever. The decimal never ends.
X divided by 6 is 4. What is Z?
Answer:
this is so hard
Step-by-step explanation:
Solve the equation-2x+8=-3x+14
Answer:
x = 6
Step-by-step explanation:
-2x + 8 = -3x + 14
Add 3x to both sides.
x + 8 = 14
Subtract 8 from both sides.
x = 6
Both sides of the equation are equal, the solution [tex]x = 6[/tex] is correct.
To solve the equation [tex]-2x + 8 = -3x + 14[/tex], you can follow these steps:
Move the variables to one side of the equation:
Add 3x to both sides of the equation to get the variables on one side:
[tex]-2x + 8 + 3x = -3x + 14 + 3x[/tex]
Simplify:
[tex]x + 8 = 14[/tex]
Isolate the variable:
Subtract 8 from both sides to isolate [tex]x[/tex]:
[tex]x + 8 - 8 = 14 - 8[/tex]
Simplify:
[tex]x = 6[/tex]
Check your solution:
Substitute [tex]x = 6[/tex] back into the original equation to ensure it satisfies the equation:
[tex]-2(6) + 8 = -3(6) + 14[/tex]
Simplify both sides:
[tex]-12 + 8 = -18 + 14[/tex]
[tex]-4 = -4[/tex]