Answer:
Inequality : 4x+8 < 120
x<28
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Perimeter of a rectangle (P)= 2 length +2 width
Where:
Width = x
Length = x+4
Replacing with the values given
P = 2 (x+4) + 2x
P = 2x+8+2x
P=4x+8
Since the perimeter of the rectangle must be less than 120:
4x+8 < 120
Solving for x
4x<120-8
4x<112
x<112/4
x<28
Feel free to ask for more if needed or if you did not understand something.
To find the values of x for which the perimeter of a rectangle is less than 120, you would solve the equation 2*(x + (x+4)) < 120. After simplifying and solving, the result is x < 28.
Explanation:In this problem, you are asked to find the values of x for which the perimeter of a rectangle is less than 120. The rectangle has width of x and a length of x plus 4.
The perimeter of a rectangle is defined as 2*(length + width). Plugging the lengths in for our rectangle, we get 2*(x + (x+4)) < 120. Simplifying this inequality gives 2*(2x + 4) < 120
From there, you want to distribute the 2 across the equation, which gives 4x + 8 < 120. Subtract 8 from both sides to get 4x < 112, and then divide both sides by 4 to find x < 28. So, the possible values of x are those less than 28.
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8 +3+7+7+ 10 = 35
What is the average value?
Answer:
7
Step-by-step explanation:
To find the average value, divide the sum by the number of numbers
8 +3+7+7+ 10 = 35 /5= 7
The average value is 7
Answer:
Step-by-step explanation:
8+3+7+7+10 = 35
35=35
Which of the following measurements is shorter than 1 meter select all that apply
Measurements shorter than 1 meter are usually in centimeters and millimeters; for example, the length of a hand or the size of a small worm. Longer measurements such as the length of a street or the distance between towns are in meters or kilometers.
Explanation:In the metric system, the length measurements shorter than 1 meter include centimeters (cm) and millimeters (mm). To identify which measurements are shorter than 1 meter, we can consider the size or distance involved. Some options include:
The size of a small worm is definitely shorter than 1 meter and would be measured in centimeters or even millimeters.The height of a light switch is also less than 1 meter and can be measured in centimeters.The length of a hand is smaller than 1 meter and would be measured in centimeters.On the other hand, measurements that are likely to be equal to or longer than 1 meter might include:
The length of a street, which would be measured in meters or kilometers.The distance from one town to the next, which would be measured in kilometers.The depth of a pool, which could be measured in meters depending on the pool's depth.Understanding that 1 meter is roughly the distance from fingertip to fingertip when arms are stretched out to the sides can help visualize the scale when deciding on the appropriate unit for measuring length.
Which Numberline shows -4, -2, 1, and 2 plotted correctly? Pics for C and D are in the next picture.
Answer:
B
Step-by-step explanation:
Which are good ideas to include in Luisa’s plan? Check all that apply.
Answer:
1 , 2 , 4
Step-by-step explanation:
Does 4 divided by 3 = 3/4?
Suppose you invest $15,000 at the age of 35, and agree to start receiving
payments at the age of 45. At age 41, you decide you want to withdraw $5000
from your account. The insurance company charges you 30% of the
withdrawal. What is the surrender charge?
Answer:
1,500
Step-by-step explanation:
Ok so all you do is fine put 30% of 5,000 and that would be 1,500
and that's you answer.
Have a great day bye!
The volume of a sphere with a radius of 5 cm is approximately _[blank]_ cm3.
Enter the value that correctly fills in the blank in the previous sentence.
Use 3.14 for π, and round your answer to the nearest hundredths place if necessary.
Answer:
V = 523.33 cm^3
Step-by-step explanation:
The volume of a sphere is given by
V =4/3 pi r^3
We know the radius is 5
V = 4/3 (3.14) 5^3
V=523.3333333
Rounding to the hundredths place
V = 523.33 cm^3
Answer:
523.33 cm
Step-by-step explanation:
V= 4/3 pi r3
=4/3 pi (5 cm)3
=4/3 pi (125cm)
=4/3 3.14 (125cm)
=4/3 (392.5)
Volume= 523.33 cm
On a coordinate plane, a line goes through (0, negative 5) and (5, 0).
A system of equations consists of a line s of the equation y = x - 5 that is graphed in orange, and a line t that passes through the points (0, 2) and (8, -4). The equation of line t is y = −3
4
x + 2. What is the solution to this system of linear equations?
(_,_)
Answer:
(5,-5)
Step-by-step explanation:
there is 5 and there is -5 therefore it make s(5,-5)
Answer:
4,-1
Step-by-step explanation:
i just did the assingment
Write the product using exponents.
(-1\2). (1/2).(1/2).
The product (-1/2) \\cdot (1/2) \\cdot (1/2) simplifies to -1 \\cdot (1/2)^2, which equals -1/4 when written using exponents.
The product of these fractions, (-1/2) \\cdot (1/2) \\cdot (1/2), can be written using exponents. Since we are multiplying the same base, (1/2), we simply add the exponents. The fraction -1/2 can be thought of as (-1) \\cdot (1/2), so it won't affect the exponent but will contribute a negative sign to the product.
To use exponents, we count how many times the base (1/2) is used as a factor: twice. We can express this as (1/2)^2. Combining this with the negative sign from (-1/2), the final expression is -1 \\cdot (1/2)^2, which simplifies to -1/4 because (1/2)^2 = 1/4.
Over which interval is the graph of f(x) = –x2 + 3x + 8 increasing? (–∞, 1.5) (–∞, 10.25) (1.5, ∞) (10.25, ∞)
Answer:
(–∞, 1.5) or A on edge
Step-by-step explanation:
took the test
Over (∞, 1.5), the graph of f(x) = -x² + 3x + 8 is increasing.
A relation f from a set A (the domain of the function) to another set B (the co-domain of the function) is called a function in math. f = {(a,b)| for all a ∈ A, b ∈ B}
It is given that function is
f(x) = -x² + 3x + 8
We know that graph of f(x) is increasing if f’(x) > 0
-2x + 3 > 0
-2x > -3
x < 3/2 or 1.5
Thus, the graph is increasing over (∞, 1.5).
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An anchor chain weighs 100 pounds for every meter of chain. What is the mass of anchor chain in kilograms if it touches the bottom of the sea at 180 meters? (Assume the anchor is fully payed out. Round to the nearest whole number and do not include units or commas in your answer.) Note: There are 0.454 kilograms in a pound.
Janile went to the nurse to get her height and weight measured. The nurse said that
Janile is 59 inches tall. How tall is she in feet and inches?
Answer:
4 feet 11 inches
Step-by-step explanation:
Answer:
4fee and 11inch
Step-by-step explanation:
My teacher told me
Please help for ten points if good enough
Which table represents a linear function?
The table that represents linear function is table 1
What is linear function?A linear function is a mathematical expression of the form f(x) = mx + b, where x is the variable, m is the slope, and b is the y-intercept.
It represents a straight line on a graph, with constant rate of change.
Table 1, shows clearly a linear function property,because the rate of increase in y is proportional to rate of increase in x.
Slope = 25-15/5-3 = 10/2 = 5
y -15 = 5( x - 3)
y -15 = 5x -15
y = 5x
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Can someone help me with this
Answer:
[tex]x = 9[/tex]
Step-by-step explanation:
[tex] - 9x + 1 = - 80 \\ - 9x = - 80 - 1 \\ - 9x = - 81 \\ \frac{ - 9x}{ - 9} = \frac{ - 81}{ - 9} \\ x = 9[/tex]
1 + 1 Simple. Don't fail.
Answer:
2
Step-by-step explanation:
Answer:
3. I already know I'm right, like no cap.
What is the volume, in cubic millimeters, of the composite figure? (Round to the nearest hundredth. Use 3.14 for Pi.)V cylinder = pi r squared h. V sphere = four-thirds pi r cubed.
A cylinder and half sphere. Both have a radius of 4 millimeters. The cylinder has a height of 6 millimeters.
Answer:
Volume of composite is 320.28mm³
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, cylinder and sphere,
to solve the volume of the composite figure
1.Let us solve for the volume of the cylinder
V= πr²h
Given radius r= 4mm
Height h= 6mm
V= 3.14*(4)²*6
V=3.14*16*6
V= 301.44mm³
2. Let us solve for the volume of sphere
V= 4/3πr³
V= 4/3*3.14(4)³
V= 4/3*3.14*9
V= 113.04/3
V= 37.68mm³
But the sphere is half
So V= 37.68/2
V= 18.84mm³
Hence composite volume is
18.84+301.44
Volume = 320.28mm³
The graph of an exponential model in the form y = a ⋅ bx passes through the points (2, 50) and (3, 250). Which point is also on the graph?
A. (0, 5) B. (1, 10) C. (4, 450) D. (5, 650)
The correct answer is B: (1, 10).
To determine which point is also on the graph of the exponential model [tex]\(y = a \cdot b^x\)[/tex], we can use the given points (2, 50) and (3, 250) to set up a system of equations.
For the point (2, 50):
[tex]\[50 = a \cdot b^2\][/tex]
For the point (3, 250):
[tex]\[250 = a \cdot b^3\][/tex]
Dividing the second equation by the first, we get:
[tex]\[\frac{250}{50} = \frac{a \cdot b^3}{a \cdot b^2}\][/tex]
Simplifying:
[tex]\[5 = b\][/tex]
Now that we know [tex]\(b = 5\)[/tex], we can substitute this back into either of the original equations to solve for [tex]\(a\)[/tex]. Using the first equation:
[tex]\[50 = a \cdot 5^2\][/tex]
Solving for \(a\):
[tex]\[a = 50/25 = 2\][/tex]
So, the exponential model is [tex]\(y = 2 \cdot 5^x\)[/tex].
Now we can check which of the given points is on the graph:
- For point (0, 5): [tex]\(y = 2 \cdot 5^0 = 2 \cdot 1 = 2\)[/tex]
- For point (1, 10): [tex]\(y = 2 \cdot 5^1 = 2 \cdot 5 = 10\)[/tex]
- For point (4, 450): [tex]\(y = 2 \cdot 5^4 = 2 \cdot 625 = 1250\)[/tex]
- For point (5, 650): [tex]\(y = 2 \cdot 5^5 = 2 \cdot 3125 = 6250\)[/tex]
The only point that satisfies the exponential model is (1, 10). Therefore, the correct answer is B. (1, 10).
I need to solve for x.
Step-by-step explanation:
cvgchhiyf t dB rb. well can b d 7fvbdrj sh rubber. CTN b cry
Explain how you can find the area of a polygon
Step-by-step explanation:
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.Final answer:
The area of a polygon can be estimated using a grid to count squares, with specific formulae used for regular shapes. Irregular shapes can be broken down into simpler shapes, and the areas summed up, or approximated as areas under a curve using rectangles.
Explanation:
To find the area of a polygon, one approach can be to approximate the area using graph paper. You would place the polygon over a grid and count the number of squares that are completely covered by the polygon. Partial squares would be estimated. For polygons with straight sides like triangles, rectangles, and other regular shapes, you can use specific formulae. For example, the area of a triangle is found using the formula A = wh/2, where 'w' is the base width and 'h' is the height.
To find the area of irregular shapes, the shape can be broken down into a combination of known shapes, then the area for each known shape is calculated and summed up. For instance, if you're finding the area within a curve represented by a graph, you can approximate the area under the curve by summing up the areas of rectangles (or triangles) that fit under the curve.
The stem-and-leaf plot shows the heights in centimeters of Teddy Bear sunflowers grown in two different types of soil.
Soil A Soil B
5 9
5 2 1 1 6 3 9
5 1 0 7 0 2 3 6 7 8
2 1 8 3
0 9
Key: 9|6 means 69 Key: 5|8 means 58
Calculate the mean of each data set.
Calculate the mean absolute deviation (MAD) of each data set.
Which set is more variable? How do you know?
Answer:
Soil A mean: 71.8
Soil B mean: 72
Soil A MAD: 8.16
Soil B MAD: 5.4
Soil A set is more variable because it has a greater MAD. This feature is also seen in the stem-and-leaf plot, where Soil A set is more spread than Soil B set
Step-by-step explanation:
Soil A | |Soil B
|5|9
5 2 1 1|6|3 9
5 1 0|7|0 2 3 6 7 8
2 1|8|3
0|9|
Soil A mean: (65 + 62 + 61 + 61 + 75 + 71 + 70 + 82 + 81 + 90)/10 = 71.8
Soil B mean: (59 + 63 + 69 + 70 + 72 + 73 + 76 + 77 + 78 + 83)/10 = 72
Soil A MAD: ( |65 - 71.8| + |62 - 71.8| + |61 - 71.8| + |61 - 71.8| + |75 - 71.8| + |71 - 71.8| + |70 - 71.8| + |82 - 71.8| + |81 - 71.8| + |90 - 71.8|)/10 = 8.16
Soil B MAD: ( |59-72| + |63-72| + |69-72| + |70-72| + |72-72| + |73-72| + |76-72| + |77-72| + |78-72| + |83-72| )/10 = 5.4
there is a large clock on the wall so students can check the time. gym class starts at 1:15 p.m and ends at 2:00 p.m. during gym class. through what fraction of a circle does the minute hand turn ? how many degrees did the minute hand turn explain
Answer:
1 1/2
Step-by-step explanation:
Simply 6(x+y) + (x-y)
Subtract.
Your answer should be a polynomial in standard form.
(5p – p) – (7p? — 4p - 3)
Answer:
Step-by-step explanation:
The area of the base of a rectangular juice box is 4 1/2 square inches. If the volume of the box is 18 cubic inches, how tallis the box. (Please answer with the number only)
Answer:
Height = 4 inches
Step-by-step explanation:
Volume of a Rectangular prism = Area of the base * Height
We can rearrange this to find the height
Height = Volume ÷ Area of the base
Substitute in our numbers and solve for height
Height = 18 ÷ 4.5
Height = 4 inches
Megan walked 4/10 mile to the park she walk the same distance home how much does she walk all together write in simplest form
Answer:
4 over 5 {4/5}
Step-by-step explanation:
4/10 + 4/10 is 8/10, divide both by 2 and you get 4/5
Answer: [tex]\frac{4}{5}[/tex] miles
Step-by-step explanation:
She doubled the distance; multiply by 2.
[tex]\frac{4}{10}*2=\frac{4}{5}[/tex]
rewrite 1/2 using sixths
1 1/3-1/2= 8/6-
your help is appreceatedd
To rewrite 1/2 using sixths, we multiply both the numerator and denominator by 3. Therefore, 1/2 can be rewritten as 3/6.
Explanation:To rewrite 1/2 using sixths, we need to find an equivalent fraction with a denominator of 6. Fractions are equivalent when they represent the same value or proportion.
To convert the denominator from 2 to 6, we multiply it by 3. We must then do the same to the numerator to keep the value of the fraction the same. So, if we multiply both the numerator and denominator of 1/2 by 3, we get:
1 * 3 = 32 * 3 = 6Therefore, 1/2 can be rewritten as 3/6 in terms of sixths.
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DEF is a right triangle.
HELP PLEASE
Answer:
True
Step-by-step explanation:
Because its at a 90 degree angle
Answer:
False
Step-by-step explanation:
Because I calculated the angles which were the numbers and it didn't add up to 90 degrees.
I need help finding the perimeter of the house, please! Thx!
Answer: 124
Step-by-step explanation:
34+24+12+4+10+4+12+24
Which of the following statements is NOT true regarding simplifying
rational expressions?
When dividing one rational expression by another rational expression, you
can rewrite your expression as a multiplication problem.
When multiplying two rational expressions together, you must first have a
common denominator.
When adding two rational expressions together, you must first have a
common denominator,
When multifying two rational expressions together, the numerators get
multiplied together while the denominators get multiplied together.
Answer:
The only untrue statement is
- When multiplying two rational expressions together, you must first have a
common denominator.
Step-by-step explanation:
A rational expression has a rational numerator and a rational denominator.
To investigate each of these statement, we take two arbitrary rational expressions
Rational expression 1 = (a/b)
Rational expression 2 = (c/d)
Taking the statements one at a time
- When dividing one rational expression by another rational expression, you
can rewrite your expression as a multiplication problem.
(a/b) ÷ (c/d) = (a/b) × (d/c)
This statement is obviously true.
- When multiplying two rational expressions together, you must first have a
common denominator.
(a/b) × (c/d) = (ac/bd)
We do not need b = d to do this multiplication, hence, this statement is false.
- When adding two rational expressions together, you must first have a
common denominator,
(a/b) + (c/d)
We first take an LCM, so that we then have
(ad/bd) + (bc/bd)
= (ad + bc)/bd
This statement is true also.
- When multiplying two rational expressions together, the numerators get
multiplied together while the denominators get multiplied together.
(a/b) × (c/d) = (ac/bd)
This statement is true.
So, only the second statement is not true.
Hope this Helps!!!