Based on the fact that Lila made a chart that had 8 rows and 4 columns, the number of spaces in the chart is 32 spaces.
Lila can use 8s factors or 4 factors to solve because both 8 and 4 are factors of 32.
How to find the spaces created?The number of spaces can be found by the formula:
= Number of rows x Number of columns
= 8 x 4
= 32 spaces
Factors of 8 and 4 can be used for 32 because when a number is a factor of another number, then all the factors of the first number, are also the factors of the other number.
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Write the formula for the sequence: 10,6.5,3,−0.5,−4...
A. an= 3.5n − 10
B. an= 3.5n- 4
C. an= 10 - 3.5n
D. an= 13.5 - 3.5n
The formula of the sequence is aₙ = 13.5 - 3.5n
How to find the formula for a sequence?The sequence is as follows:
10, 6.5, 3, −0.5, −4...
Studying the sequence, it's an arithmetic sequence.
Therefore, using arithmetic formula,
aₙ = a + (n - 1)d
where
a = first termd = common differencen = number of termsTherefore,
common difference = d = 6.5 - 10 = -3.5
a = first term = 10
Therefore, the formula of the sequence is as follows:
aₙ = 10 + (n - 1)-3.5
aₙ = 10 - 3.5n + 3.5
aₙ = 13.5 - 3.5n
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There are 13 different types of cookies at the bakery. The baker made 24 of each type of cookie. How many cookies did the baker make in total?
Answer:
312 in total.
Step-by-step explanation:
if 1 type of cookie is 24 cookies. so 13 types of cookies are 312 cookies.l. because 13×24=312
38 - (-74) perform the indicated operation
The result of the arithmetic expression as given in the task content is; 112.
What is the result of.thee indicated operation as in the task content?It follows from the task content that the given expression is; 38 - (-74).
Hence, in a bid to solve the parentheses, the two negative signs are multiplied to yield a positive sign.
Ultimately, we have the result of the indicated operation as; 38 + 74 = 112.
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Chandra hires 21 people to pick crops from her field. She agrees to pay them $2.50 for each unit they pick. Estimate
the total amount of money she will have to pay if each person picks 6 units.
Answer:
I think its 315
Step-by-step explanation:
because I think I have to multiply if u do I think it's 21x2.50x6 and it's equal to 315
chapter 8
5.Find the circumference of each circle. Use your calculator's value of [pi]. Round your answer to the nearest tenth.
Answer:
50.2655
Step-by-step explanation:
What is the product in 61.18 -82?
It should be noted that the product of 61.18 and 82 will be 5016.76.
How to calculate the product?It should be noted that a product of a given set of numbers simply means the multiplication of the numbers that are given.
In this case, we want to get the product of 61.18 and 82. This will be:
= 61.18 × 82
= 5016.76
In conclusion, the product of 61.18 and 82 will be 5016.76.
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What is the product of 61.18 and 82?
Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from rectangular sheets of cardboard from which she cuts out 5-in squares from each corner. The length of the original piece of cardboard is 10 in more than the width. If the volume of the box is 1875 in3, determine the dimensions of the original piece of cardboard.
The dimensions of the original shapes are 15 and 25 inches respectively
How to determine the dimensionsThe formula for volume of a rectangle is expressed as;
Volume = length × width × height
From the information given, we have;
Length = yWidth = y + 10Height = 5Volume = 1875Substitute the values
1875 = 5 × y × y + 10
Divide both sides 5
1875 / 5 = y(y + 10)
expand the bracket
375 = y² + 10y
y² +10y - 375 = 0
y² + 25y - 15y - 375 = 0
y(y + 25) - 15( y + 25) = 0
y= 15 or y = -25
If y = 15 Inches
Width = 15 + 10 = 25 Inches
Thus, the dimensions of the original shapes are 15 and 25 inches respectively
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18 = -2(x + 4) i cant find the answer
Answer:
x = -13
Step-by-step explanation:
-2 (x + 4) = 18
distributive property -2x + (-8) = 18
simplify -2x - 8 = 18
cancel out 8 by addition -2x = 26
cancel out -2 by division x = -13
The ratio x:y is 3:7
Find the following in terms of x:
a) The HCF of (9y+x) and (3y+4x)
b) The LCM of (9y+x) and (3y+4x)
(a) The HCF of ( 9y + x ) and ( 3y + 4x ) is 11x
b) The LCM of ( 9y + x ) and ( 3y + 4x ) is 22x.
The ratio of x and y is given as:
x : y = 3 : 7
Then,
(x / y) = ( 3 / 7)
7x = 3y
(a) HCF of ( 9y + x) and ( 3y + 4x)
Now,
9y + x = 3(3y) + x
9y + x = 3(7x) + x
9y + x = 22x
And;
3y + 4x = 7x + 4x
3y + 4x = 11x
Now, the HCF of 22 and 11 is 11 because 22 = 2 × 11 and 11 = 11 × 1.
Therefore,
HCF of ( 9y + x ) and ( 3y + 4x ) is 11x.
(b) The LCM of (9y+x) and (3y+4x)
We know,
9y + x = 22x and 3y + 4x = 11x
So, LCM of ( 9y + x ) and ( 3y + 4x ) is 22x.
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a copy machine makes 24 copies per minute how many copies does it make in 4 minutes and 45 seconds
Answer:76 copies
Step-by-step explanation:
hope this helps
Can someone answer this for me, I’ve been trying for the past 30 minutes, thank you
Answer:
1/2
Step-by-step explanation:
When x = 20, y = 0
When x = 40, y = 10
When x = 60, y = 20
When x = 80, y = 30
When x = 100, y = 40
The slope is the change in y divided by the change in x.
First, find the change in x and y between any two points. We will use the first two points, (20, 0) and (40,10)
The change in x is 40 - 20 = 20
The change in y is 10 - 0 = 10
Divide the change in y by the change in x.
10 / 20 = 1/2
The slope is 1/2
Determine which diagram could be used to prove △ABC ~ △EDC using similarity transformations.
Triangle A B C is rotated about point C and then dilated to form triangle C E D.
Triangle A B C is reflected across point C and then is rotated to form triangle C E D.
Triangles A B C and C E D do not have congruent angle measures.
The diagram could be used to prove △ABC ~ △EDC using similarity transformations is (a) Triangle ABC is rotated about point C and then dilated to form triangle CED.
How to determine which diagram could be used to prove △ABC ~ △EDC using similarity transformations?From the question, we have the following highlights
The triangles are similar trianglesThe triangles are △ABC and △EDCSimilar triangles do not have to be congruent triangles
This means that if two triangles are similar, then one triangle has been dilated to form the other triangle
This also means that
The corresponding angles of the triangles are equal while the corresponding sides of the triangles are not equal
The transformation that supports the above highlights is (a) Triangle ABC is rotated about point C and then dilated to form triangle CED.
Hence, the diagram could be used to prove △ABC ~ △EDC using similarity transformations is (a) Triangle ABC is rotated about point C and then dilated to form triangle CED.
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Answer: A. or the first one.
Step-by-step explanation: TRUST ME! Answer correct on Edge.
My first attempt was wrong but my second attempt was correct.
HELP ME EXTRA POINTS PLSPLSPLS
[tex]\bf \longrightarrow{f(x) = \frac{1}{x - 7} \: \: \: \: , \: \: \: g(x) = \frac{1}{x - 5} }[/tex]
[tex]\bf \longrightarrow{f \circ g = \frac{1}{ \frac{1}{x - 5} - 7} }[/tex]
So we know [tex]\frac{a}{b}[/tex] , b ≠ 0[tex] \bf \longrightarrow{so \: \: x - 5 \neq0 \: \: , \: \: \frac{1}{x - 5} \neq7} \\ \\ \bf \longrightarrow{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x \neq0 \: \: , \: \: \frac{1}{x - 5} \neq0 }\\ \\\bf \longrightarrow{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 5 \frac{1}{7} } \\ \\ \bf \longrightarrow{and \: a < b }\\ \bf \longrightarrow{so \: a = 5 \: , \: b = 5\frac{1}{7} }[/tex]
help pleaseeeeeeeeeeeeeeeeee
A cell phone company says that a fully charged battery lasts 14 hours. In reality, each battery behaves a little differently. For a large quantity of fully charged batteries, the mean length of time that batteries last is 14 hours, with a standard deviation of 1 hour. Assume that the lengths of time that battery charges last can be modeled by a normal distribution.
(a) What percent of fully charged cell phone batteries would be expected to last longer than 14 hours?
(b) What percent of fully charged cell phone batteries would be expected to last between 12 and 14 hours?
(c) What percent of fully charged cell phone batteries would be expected to last less than 15 hours?
(d) Would it be surprising if a fully charged cell phone battery lasted more than 17 hours? Explain why or why not.
The percentage is 50%
From the question we are told that
The mean is μ= 14 hours
The standard deviation is σ=1 hour
Generally on the normal distribution curve the mean divides the curve into two. with the half to the left of the mean (50% to the left )representing the percentage of the batteries that will last less than 14 hours and the area under the curve to the right (50% to the right)representing the percentage of batteries that will last longer than mean (14 hours )
Hence the percentage of the cell phone batteries that will be expected to last longer than 14 hours is 50%
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What is the product?
Answer:
24x^4+32x^3+32x^2+16x+10
Step-by-step explanation:
Using distributive property,
1. multiple 4x^2 times (6x^2+8x+5)
2. multiple 2 times (6x^2+8x+5)
3. add them together
24x^4+32x^3+20x^2
+ 12x^2+16x+10
______________________
24x^4+32x^3+32x^2+16x+10
lesson 6.2
Graph the image of the figure using the transformation given.
last 3 pics are the options to pick from
The figure with these coordinates are G'(3, -5), H'(2, 0), I'(0, -1) and J'(-1, -4) given below. Therefore, option C is the correct answer.
Given that the shape is reflected across the y-axis.
What is a reflection on the y-axis?The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
The coordinates of the given figure are G(-3, -5), H(-2, 0), I(0, -1) and J(1, -4)
When the coordinates of the figure GHIJ are reflected across the y-axis we get G(-(-3), -5), H(-(-2), 0), I(0, -1) and J(-(1), -4)
So, the coordinates are G'(3, -5), H'(2, 0), I'(0, -1) and J'(-1, -4)
The figure with these coordinates are G'(3, -5), H'(2, 0), I'(0, -1) and J'(-1, -4) given below. Therefore, option C is the correct answer.
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simplify |9-3|-|5-12|
Answer:
13
Step-by-step explanation:
9 - 3 = 6
5 - 12 = -7
6 - ( -7 ) = 13
Answer:
-1
Step-by-step explanation:
Absolute value means distance from zero.
9-3 is 6 so nothing special there. 5-12, though is negative 7, but since we need the absolute value of that it is just 7. So our math problem becomes 6 - 7, which is -1.
Which function has a range of {y|y ≤ 5}?
f(x) = (x – 4)2 + 5
f(x) = –(x – 4)2 + 5
f(x) = (x – 5)2 + 4
f(x) = –(x – 5)2 + 4
The Function that has a range of {y|y ≤ 5} is mathematically given as
f(x) = –(x – 4)2 + 5
This is further explained below.
Which function has a range of {y|y ≤ 5}?Generally, the equation for the function is mathematically given as
f(x)=-(x-4)^2+5
Where
f(x)=-(x-4)^2+5 is a quadratic function. Its graph looks like a parabola. One of the vertices in the graph is (4,5) and opens in a downward direction.
Proving that f(x)=-(x-4)^2+5≤ 5 for all x
[tex]x^2 \geq 0 \Rightarrow(x-4)^2 \geq 0 \\\\-(x-4)^2 \leq 0 \\\\-(x-4)^2+5 \leq 5 \text {. }[/tex]
In conclusion, The Function that has a range of {y|y ≤ 5} is mathematically given as
f(x) = –(x – 4)2 + 5
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3,3,5,6 need to make 3
Answer: (3+3*5):6
Step-by-step explanation:
[tex](3+3*5):6=\\(3+15):6=\\18:6=\\3[/tex]
Answer:
12
Step-by-step explanation:
1. \: 3 + 15 - 6 \\ 2. \: 18 - 6 \\ 3. \: 12
I have no clue what steps to do, please help.
All steps to prove for the value of x are given below.
What is meant by Angle bisector?
Angle bisector is refer to a line that split an angle into two equal angles.
Given that;
Measure of ∠DEH = (10x - 2)°
Measure of ∠HEF = (6x + 10)°
Ray EH is angle bisector of ∠DEF.
Now, Ray EH is angle bisector of ∠DEF.
Hence,
1. Measure of ∠DEH = Measure of ∠HEF
Reason = Ray EH is angle bisector of ∠DEF.
2. (10x - 2)° = (6x + 10)°
Reason = Measure of ∠DEH = (10x - 2)° and Measure of ∠HEF = (6x + 10)°
3. 10x - 2 - 6x = 6x + 10 - 6x
Reason = Subtract 6 both side.
4. 4x - 2 = 10
Reason = Apply sum or difference rule.
5. 4x - 2 + 2 = 10 + 2
Reason = Add 2 both side.
6. 4x = 12
Reason = Apply sum or difference rule.
7. x = 3
Reason = Divide 4 both side.
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Given
m
∠
Q
P
S
=
8
8
∘
m∠QPS=88
∘
m, angle, Q, P, S, equals, 88, degrees
m
∠
R
P
S
=
5
x
+
3
4
∘
m∠RPS=5x+34
∘
m, angle, R, P, S, equals, 5, x, plus, 34, degrees
m
∠
Q
P
R
=
8
x
+
1
5
∘
m∠QPR=8x+15
∘
m, angle, Q, P, R, equals, 8, x, plus, 15, degrees
Find
m
∠
R
P
S
m∠RPSm, angle, R, P, S:
The required angle measure for the condition of the proportion of angles m∠RPS is 212.35°.
Given that,
m∠QPS = 88
m∠RPS = 5x+34
m∠QPR=8x+15
The measure of the angle m∠RPS is to be determined.
The angle can be defined as the one line inclined over another line. the measure of an angle is measured in two units of degrees and in radiants.
Here,
m∠QPR = m∠QPS + m∠RPS
8x + 15 = 88 + 5x + 34
8x - 5x = 88 + 34 - 15
3x = 107
x = 107 / 3
x = 35.67
Now,
m∠RPS = 5x+34 = 5 * 35.67 + 34 = 212.35°
Thus, the required angle measure for the condition of the proportion of angles m∠RPS is 212.35°.
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Divide:
945 9 = [
Submit
R
With remainder
Answer:105 R 0
945 divided by 9 equals
105 with a remainder of 0
Step-by-step explanation:
Which number is an irrational number?
O
-233723
9
O -√√3
O 2.56
O 16
√3 is an irrational number as it is non terminating and non repeating number.
Irrational number - In mathematics, the irrational numbers are all the real numbers that are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers.
They are non terminating and non repeating in nature.
For example 22 / 7 , √ 5 , √ 7 and many more.
Here, √3 is an irrational number as it is non terminating and non repeating number.
Therefore, √3 is an irrational number as it is non terminating and non repeating number.
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Erin wants to create a flower garden in the shape of a triangle. If the triangle has a base of 12 feet and a height of 10 feet, what's the area of the garden?
Answer:
[tex]60cm {}^{2} [/tex]
Step-by-step explanation:
Area for triangle is equal to half base time perpendicular height.
[tex] \frac{1}{2} (10 \times 12)[/tex]
[tex] \frac{1}{2} (120)[/tex]
[tex]60cm ^{2} [/tex]
note that it's 10cm X 12 cm that's how you get cm²
HELP THANK YOU VERY MUCH
For which value of x is line N parallel to line M?
Answer:
x=70°
x=109°
Step-by-step explanation:
x+30+80=180
x=180-30-80=70
16.
x=64+45=109°
What is 4.5E-11 written in scientific notation
Answer: 4.5 x 10^-11
Step-by-step explanation:
4.5E-11 = 4.5 x 10^-11 ==> 4.5e-11 is basically 10^-11 multiplied by 4.5
The concrete foundation of a house requires 15 truckloads of concrete. The concrete was
poured at a depth of 0.5 meters and covered an area of 540 square meters.
a. How many cubic meters of concrete were used?
b. If each truckload was the same size, how many cubic meters did each truck carry?
Answer:
See below
Step-by-step explanation:
Area * thickness = volume
540 m^2 * .5 m = 270 m^3
15 trucks ===> 270 m^3 / 15 trucks = 18 m^3 per truck
An urn contains seven white balls and three green balls. A sample of three balls is selected at random. What is the probability that the sample contains two white balls and one green ball?
the probability that the sample contains two white balls and one green ball is 21/40.
In probability and statistics, an urn problem is an idealized mental exercise in which some objects of real interest (such as atoms, people, cars, etc.) are represented as colored balls in an urn or other container. One pretends to remove one or more balls from the urn; the goal is to determine the probability of drawing one color or another, or some other properties.
Total number of balls: 7 White and 3 Green = 10 balls
Cases for three balls are drawn at random:
Selection of 3 balls from 10 balls = [tex]^1^0C_3[/tex]
Case A: 1 White and 2 Green = [tex]\frac{^7C_1 * ^3C_2}{^1^0C_3} = \frac{7*3}{120} = \frac{21}{120} \\[/tex]
Case B: 2 White and 1 Green = [tex]\frac{^7C_2 * ^3C_1}{^1^0C_3} = \frac{21*3}{120} = \frac{63}{120}[/tex]
Case C: 3 White and 0 Green = [tex]\frac{^7C_3 * ^3C_0}{^1^0C_3} = \frac{28*1}{120} = \frac{28}{120}[/tex]
Case D : 0 White and 3 Green = [tex]\frac{^7C_0 * ^3C_3}{^1^0C_3} = \frac{1*1}{120} = \frac{1}{120}[/tex]
The probability that the sample contains two white balls and one green ball = Case B
So, the probability that the sample contains two white balls and one green ball = 63/120 = 21/40
Therefore, the probability that the sample contains two white balls and one green ball is 21/40.
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the probability that the sample contains two white balls and one green ball is 21/40.
In probability and statistics, an urn problem is an idealized mental exercise in which some objects of real interest (such as atoms, people, cars, etc.) are represented as colored balls in an urn or other container. One pretends to remove one or more balls from the urn; the goal is to determine the probability of drawing one color or another, or some other properties.
Total number of balls: 7 White and 3 Green = 10 balls
Cases for three balls are drawn at random:
Selection of 3 balls from 10 balls = [tex]^1^0C_3[/tex]
Case A: 1 White and 2 Green = [tex]\frac{^7C_1*^3C_2}{^1^0C_3} =\frac{7*3}{120}= \frac{21}{120}[/tex]
Case B: 2 White and 1 Green = [tex]\frac{^7C_2*^3C_1}{^1^0C_3} =\frac{21*3}{120}= \frac{63}{120}[/tex]
Case C: 3 White and 0 Green = [tex]\frac{^7C_3*^3C_0}{^1^0C_3} =\frac{35*1}{120}= \frac{35}{120}[/tex]
Case D : 0 White and 3 Green = [tex]\frac{^7C_0*^3C_3}{^1^0C_3} =\frac{1*1}{120}= \frac{1}{120}[/tex]
The probability that the sample contains two white balls and one green ball = Case B
So, the probability that the sample contains two white balls and one green ball = 63/120 = 21/40
Therefore, the probability that the sample contains two white balls and one green ball is 21/40.
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.A person can travel from NYC to Buffalo by going north 205 miles to Albany and then west 425 miles to Buffalo. A new highway is built to connect NYC to Buffalo.Find how many miles it would take to get from NYC to Buffalo if you traveled the new highway. (*Round to the nearest tenth.)
Answer: 471.9 miles
Step-by-step explanation:
This is a right triangle so a^2+b^2=c^2
205^2=42025
425^2=180625
=222650
sqrt222650 =471.9