Answer:
1) Option C - 39 inches
2) Option C - 12167 cubic feet
Step-by-step explanation:
1) Given : Joy knits a square blanket that has an area of 1,500 square inches
To find : What is the approximate length for each side of the blanket.
Solution: Area of square = 1500 square inches
Let the side of the blanket = s
Formula of area of square is [tex]A= s^2[/tex]
[tex]1500= s^2[/tex]
[tex]s= \sqrt{1500}[/tex]
[tex]s=38.7[/tex]
Approximately Side of blanket = 39 inches
Therefore, Option C is correct.
2) Given : Jeff is an architect and is drawing the plan for a room addition for a client. If the shape of the room is a cube.
To find : what is the volume in cubic feet if the length is 23 feet?
Solution: Length of side of a cube (a)= 23 feet
Let the volume of a cube = V
Formula of Volume of cube is [tex]V= a^3[/tex]
[tex]V= (23)^3[/tex]
[tex]V= 12167[/tex]
Volume of a cube = 12167 cubic feet
Therefore, Option C is correct.
The approximate length for the blanket is given as 27 inches. Option B
The volume of the room addition is 12167 cubic feet (option C)
How to solve for the volumeLet's solve each problem:
1. Side length = √(Area)
Side length = √(1500 square inches)
Side length ≈ √(25 * 60) square inches
Side length ≈ 5√60 inches
This can be simplified further, but as an approximate answer, the length of each side is approximately 27.39 inches.
Approximately B.27 inches
2. Volume = (Side length)³
Volume = (23 feet)³
Volume = 12,167 cubic feet
So, the volume of the room addition is 12167 cubic feet (option C).
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In 1999, bus fare in Atlanta was $4.70. In 1979, the fare was 2/5 the fare in 1999. What was the fare in 1999?
Answer:
The fare in 1979 was $1.88.
Step-by-step explanation:
In 1999, bus fare in Atlanta was $4.70.
In 1979, the fare was 2/5 the fare in 1999.
This means the fare in 1979 was 2/5 of $4.70.
This means [tex]\frac{2}{5}\times4.70= 1.88[/tex] dollars
Hence, the fare in 1979 was $1.88.
|-19| - |+17|. I hate math
The absolute value of -19, expressed as |-19|, is +19. That of |+17| is 17. We are thus left with +19 - 17, or 2.
the sum of 10 and a number divide by four is 17.find the number
To find the unknown number, one must solve the equation (10 + x) / 4 = 17, which simplifies to x = 58.
The student has asked to find a number such that when 10 is added to this number and the sum is divided by four, the result is 17. This can be written as an equation: (10 + x) / 4 = 17, where x represents the unknown number. To solve for x, we first multiply both sides of the equation by 4 to get rid of the denominator, resulting in 10 + x = 68. Then, we subtract 10 from both sides to isolate the variable, yielding x = 68 - 10. Therefore, x equals 58.
nine less than a number is no more than 8 and is no less than 3
X<17, if i got it correct
Answer:
3 is less than or equal to x-9 is less than or equal to.
3<= x-9<=8
<= these mean less than or equal to.
hope I helped you!
What is 3y plus 5x=-15 written in slope-intercept form?
To make an equation into slope intercept form, Y must have no coefficient.
So to solve
[tex]3y + 5x = -15\\3y = -5x-15\\y = -\frac{5}{3}x-3[/tex]
Answer:
I think it is Option C
y+5/3x-5Because if you do it then you get it XD
it costs a manufacturer $60 per dozen to make a specific sweater and a manufacturer sells 3000 dozen at $100 per dozen
The company makes a $40 profit per dozen sweaters sold. With selling 3000 dozen, they make a total profit of $120,000. Economies of scale are not determinable with the given information.
Explanation:The subject of this question is Business, specifically related to cost, revenue, and profit calculations. In this case, the cost to manufacture a dozen sweaters is $60, and these are sold for $100 per dozen, creating a profit of $40 per dozen. If the manufacturer sells 3000 dozen, the total revenue is the number of items sold times the price, which is 3000 dozen * $100 per dozen = $300,000. The total cost is the number of items made times the cost to manufacture each item, which is 3000 dozen * $60 per dozen = $180,000. Subtracting the total cost from the total revenue gives the total profit, which in this case is $300,000 - $180,000 = $120,000.
Economies of scale, as shown in Figure 7.9, shows how the cost of manufacturing decreases as more items are produced. In this scenario, however, we are not given sufficient information to determine if the sweater manufacturer enjoys economies of scale.
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Set builder notation of {0, 00, 10, 000, 010, 100, 110}?
Answer:
{0, 10, 100, 110} = {x : x = 10(n + k), n = 0, 10 and k = 0, 1}
Step-by-step explanation:
We have been given the set {0, 00, 10, 000, 010, 100, 110} which is in the Roster form.
Since repetition is not allowed in a set, let's rewrite the given set as:
{0, 10, 100, 110}
Note that the elements of the set are binary.
Now, let's write the set builder form of the above set as below:
{0, 10, 100, 110} = {x : x is an even binary number and its decimal equivalent is less than 7}
The table below shows the number of color pages a printer prints out over a period of time
Answer:
The constant of proportionality is 3/2
B is correct.
Step-by-step explanation:
We are given a table of Time (x) and Number of pages (y)
In x minutes printer prints y number of pages.
As we know the it would be direct proportion because if time increase number of printing page increase.
Thus, y=kx
x is time ( independent variable)
y is number of pages (dependent variable)
k is constant of proportionality.
From table we will take the value of x and y and to solve for k
x=2, y=3
3=2k
[tex]k=\dfrac{3}{2}[/tex]
Hence, The constant of proportionality is 3/2
Answer:
Option B) [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
We are given the following information in the question:
A table showing the number of pages printed(y) in time(x).
x: 2 6 8 18
y: 3 9 12 27
We have to find the constant of variation.
Constant of variation
It is the number that relates two variables that are directly proportional or inversely proportional to one another.y = kx, k is the constant of proportionality.Constant of variation =
[tex]\displaystyle\frac{y_2-y_2}{x_2-x_1}\\\\(x_1.y_1), (x_2,y_2)\text{ are the points belonging to the given table.}[/tex]
Putting the values, we get:
[tex]\text{Constant of variaion} = \displaystyle\frac{9-3}{6-2} = \frac{12-9}{8-6} = \frac{27-12}{18-8} = \frac{3}{2}[/tex]
Hence, the constant of variation is [tex]\frac{3}{2}[/tex]
what is the lengh of the line segmant between (-3,8) and (7,8)
Answer:
Length = 10
Step-by-step explanation:
Normally you would use
d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )
But the 2 y values are the same so y2 - y1 = 0.
d then becomes sqrt(x2 - x1)^2
d = (x2 - x1) because the square root of (x2 - x1)^2 is just (x2 - x1)
x2 = 7
x1 = -3
d = (7 - - 3) = 10
Write the answer in scientific notation (5.4 × 10 to the power of 8) (3.2 × 10 to the power of 6)
Answer:
1,728 × 10 to power twelve
Step-by-step explanation:
(5.4 × 100000000)(3.2×1000000)
(540,000,000)(3,200,000)
1,728,000,000,000,000
1,728 × 10 to power twelve
I'll give brainliest! Whats the value of r that makes the equation true? r+(-0.16)=0.37
A)-0.53
B)-0.21
C)0.21
D)0.53
The answer is D Because -0.16 + 0.53 = 0.37
which is larger 5.034, 5.34, or 5.043
5.34, because the 3 is in the tenths place
To find the largest number among 5.034, 5.34, and 5.043, let's compare these numbers one-by-one:
1. First, we compare 5.034 and 5.34. Since 0.34 is larger than 0.034, therefore, 5.34 is larger than 5.034.
2. Next, we need to compare this larger number (5.34) with the remaining number 5.043. Here, 0.34 is also larger than 0.043.
So, after these comparisons, we see that 5.34 turns out to be the largest number among the three numbers 5.034, 5.34, and 5.043.
During 7 1/2 months of hibernation, a black bear experienced a weight loss of 64.4 pounds. On average, what was the bear's weight change per month? Round to the nearest tenth. Enter your answer in the box.
The bear lost an average of 8.6 pounds per month during hibernation. This was calculated by dividing the total weight loss (64.4 pounds) by the total duration of hibernation (7.5 months).
Explanation:The student's question pertains to determining an average over a period of time. In this case, the black bear's average weight loss per month during hibernation. Given that the bear lost a total of 64.4 pounds in 7 1/2 or 7.5 months, we find the average by dividing the total weight loss by the total months. So, 64.4 pounds ÷ 7.5 months = approximately 8.59 pounds. When rounded to the nearest tenth, the black bear lost an average of 8.6 pounds per month during hibernation.
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simplify -16+8y+{-3}
-16 + 8y + {-3} =
-16 + 8y - 3 =
8y - 19
Find the modulus of -2-6i
A. 40
B. -40
C. 6.3
D. -6.3
Answer:
Option C. [tex]6.3[/tex]
Step-by-step explanation:
we know that
To find the modulus of a complex number, apply the Pythagoras theorem
Let
c-----> the modulus
[tex]c=\sqrt{(-2)^{2}+(-6)^{2}}[/tex]
[tex]c=\sqrt{4+36}[/tex]
[tex]c=\sqrt{40}=6.3[/tex]
Which system of linear inequalities is graphed?
Answer:
The last ONE!!!
Step-by-step explanation:
In the attachment!
Answer:
y > -3.
5y ≥ -4x -10.
Step-by-step explanation:
Given : Graph.
To find : Which system of linear inequalities is graphed.
Solution: We have given graph with two line one is dotted and other is solid.
Both the line are shaded up.
For dotted line :
We show the line by y = mx + b
Where, m = slope of line and b = y intercept .
The dotted line represent by the greater sign , slope of dotted line is zero and y intercept is -3.
So, equation would be y > 0x - 3.
y > -3.
For solid line : It represented by the greater than equal to sign for solid and shaded up. y intercept of solid line is -2.
Then equation would be 5y ≥ -4x -10.
Therefore, Equation would be y > -3.
5y ≥ -4x -10.
Please Help. I'll give you BRAINLIEST.
Stan, Liam, and Louise are competing in a cooking competition. They all used different amounts of flour from a can containing 5 pounds of flour.
Stan used 12% of the total flour in the can.
Liam used 0.11 of the total flour in the can.
Louise used 0.7 pound of the total flour in the can.
Who used the greatest amount of flour from the can? Show your work and explain your answer in words.
Answer:
Louise used the most flour.
Step-by-step explanation:
Okay so first off 12% of 5 pounds would be 0.6 pounds. So we can put that Stan used 0.6 pounds. Then 0.11 of the total flour would be the same as 11% of 5 pounds, which is 0.55 pounds. So Liam used 0.55 pounds. We already know that Louise used 0.7 pounds of flour so we can order it like this.
Louise=0.7 Pounds
Stan=0.6 Pounds
Liam=0.55 Pounds
Answer:
Louise used the most flour.
Louise = 00.70 Pounds
Stan = 00.60 Pounds
Liam = 00.55 Pounds
PLZ GIVE BRAINLYEST!!!
Q25. A ladder AP of length 10m is kept against a wall AB such that it reaches a window at A, 6m high from the ground. The same ladder reaches another window at C when it is rested against the wall opposite to AB. If the walls are 14 m apart. Find the height of the window at C from the ground.
Answer:
Step-by-step explanation:
Given a ladder AP of length = 10m is kept against a wall AB such that it reaches a window at A, such that AB=6m .
Consider a triangle ABP
By Pythagoras theorem,
[tex](Hypotenuse)^2=(Perpendicular)^2+(Base)^2\\\\i.e.\ (10)^2=(6)^2+(BP)^2\\\Rightarrow100=36+(BP)^2\\\Rightarrow(BP)^2=64\\\Rightarrow\ BP=8\ m[/tex]
Now,The same ladder reaches another window at C when it is rested against the wall opposite to AB .
Let D be a point which represent the foot of the second building CD on the ground which is 14 m away from B.
∴ BD = BP+ PD
⇒ 14 = 8+PD
⇒PD =14-8 = 6m
Now consider another triangle CPD
Again by Pythagoras theorem,
[tex](Hypotenuse)^2=(Perpendicular)^2+(Base)^2\\\\i.e.\ (CP)^2=(CD)^2+(PD)^2\\\Rightarrow\ (10)^2=(CD)^2+(6)^2\\\\\Rightarrow100=(CD)^2+36\\\Rightarrow(CD)^2=64\\\Rightarrow\ CD=8\ m[/tex]
Therefore, the height of the window at C from the ground CD=8m
What is the definition of fact family
A fact family is a group of math facts using the same numbers.
Example:
Using the numbers: 5, and 2,
5 ∙ 2 = 10
2 ∙ 5 = 10
10 ÷ 2 = 5
10 ÷ 5 = 2
A fact family is a set of related math facts using the same numbers to show the relationship between addition and subtraction or multiplication and division.
Definition of a Fact Family
A fact family in mathematics consists of a group of related math facts that use the same set of numbers. Specifically, in the context of addition and subtraction or multiplication and division, fact families demonstrate the relationship between these operations. For example, with the numbers 2, 4, and 6, a fact family would include the following equations: 2 + 4 = 6, 4 + 2 = 6, 6 - 2 = 4, and 6 - 4 = 2. Each pair of arithmetical operations, being related by inverse functions, create the concept of a fact family, illustrating how numbers and operations are interconnected.
Which value of x is in the solution set of the inequality -3x+5>17?
-3x + 5 > 17 |subtract 5 from both sides
-3x > 12 |change the signs
3x < -12 |divide both sides by 3
x < -4flowers unlimited has two spring floral arrangements, the easter bouquet and the spring bouquet. the easter bouquet requires 10 jonquils and 20 daisies and produces a profit of $1.50. the spring bouquet required 5 jonquils and 20 daisies and yield a profit of $1. how many of each type of arrangement should the florist make to maximize the profit if 120 jonquils and 300 daisies are available? (assume that all bouquets will be sold)
Answer:
The florist should make 9 Easter bouquet and 6 Spring bouquet to maximize the profit.
Step-by-step explanation:
Suppose, the number of the Easter bouquet is [tex]x[/tex] and the number of Spring bouquet is [tex]y[/tex].
The Easter bouquet requires 10 jonquils and 20 daisies, and the Spring bouquet requires 5 jonquils and 20 daisies.
So, the total number of jonquils required [tex]=10x+5y[/tex]
and the total number of daisies required [tex]=20x+20y[/tex]
Given that, there are total 120 jonquils and 300 daisies are available. So, the constraints will be........
[tex]10x+5y\leq 120;\\ \\ 20x+20y\leq 300;\\ \\ x\geq 0; y\geq 0[/tex]
(As the number of each type of bouquet can't be negative)
Now, each Easter bouquet produces a profit of $1.50 and each Spring bouquet produces a profit of $1. So, the profit function will be: [tex]P=1.50x+1y[/tex]
If we graph the constraints now, then the vertices of the common shaded region are: [tex](0,0), (12,0), (9,6)[/tex] and [tex](0,15)[/tex]
For (0, 0) ⇒ [tex]P=1.50(0)+1(0)=0[/tex]
For (12, 0) ⇒ [tex]P=1.50(12)+1(0)=18[/tex]
For (9, 6) ⇒ [tex]P=1.50(9)+1(6)=13.50+6= 19.50[/tex]
For (0, 15) ⇒ [tex]P=1.50(0)+1(15)=15[/tex]
So, the profit will be maximum when [tex]x=9[/tex] and [tex]y=6[/tex]
Thus, the florist should make 9 Easter bouquet and 6 Spring bouquet to maximize the profit.
how do u calculate these numbers from least to greatest 1.98, 0.23, 0, 1.89, 1 3/ 5, 1.02, 3/2?
Answer:
0 - 0.23 - 1.02 - 3/2 - 1.89 - 1.98 - 13/5
Step-by-step explanation:
We have to put the number in an increasin order:
0 - 0.23 - 1.02 - 3/2 - 1.89 - 1.98 - 13/5 or
0 - 0.23 - 1.02 - 1.5 - 1.89 - 1.98 - 2.6
What is the quotient of 1180 and 5
That would be 236. Quotient means divide the numbers from one another.
Hope I could help! :)
Answer,
1,180/5 = 235
Hope this helps :-)
compare partial products and regrouping
Let us first describe how partial product and regrouping are alike:
Partial Products and Regrouping are alike because both methods are multiplied by one number and if the product of the number has 2 digits it can be carried.
Now let us discuss how they are different:
Partial Products and Regrouping are different because Partial Products are doing multiplication step by step and regrouping is regular multiplication.
Hope it helps.
What is the value of x? 34x+5−12x=3
The value of x is [tex]-1/11[/tex]
To find the value of xin the equation [tex]34x-12x+5=3[/tex], follow these steps:
1. Combine like terms on the left-hand side:
[tex]34x-12x+5=3[/tex]
2. Simplify the equation:
[tex]22x+5=322x + 5 = 322x+5=3[/tex]
3. Subtract 5 from both sides to isolate the term with xxx:
[tex]22x=3-522x = 3 \\- 522x=3-5 22x\\=-222x = -222x=−2[/tex]
4. Divide both sides by 22 to solve for xxx:
[tex]x=−222x \\= \frac{-2}{22}x=22-2 x\\=-111x =\frac{-1}{11}x=\\-1/11[/tex]
So, the value of x is [tex]-1/11[/tex]
if 1000 35 year old women were to pay and insurance company $140/month for 20 years , how much money would the insurance company recieve
Find out how much money one woman would pay a year by multiplying $140 and 12 months together like this.
140×12=1680
Next, find out how much she'd be paying for 20 years by multiplying the product by the years like this.
1680×20=33600
Now, to find out how much money all 1000 women are paying for the 20 years, multiply the previous product with the number of women.
33600×1000=3600000
Therefore, all 1000 women would be paying $3,600,000 total during the 20 year time period.
HOPE THIS HELPS!
One number is 5 more than another. Five times the smaller equals 4 times the larger. Find the numbers
x = 5 + y
4x = 5y
Because we already have a value for x, we can solve for the exact value of y.
4(5 + y) = 5y
Distributive property.
20 + 4y = 5y
Subtract 4y from both sides.
y = 20
Now that we have the exact value of y, we can solve for x.
x = 5 + 20
x = 25
Need Help Ive been stuck on these for days (Click to Enlarge the Picture)
CF + FE = CE. Since F is the midpoint, then CF = FE, So, CF + CF = CE ⇒ 2CF = CE
Now, set up the proportion:
[tex]\frac{BF}{CF} = \frac{AE}{CE}[/tex]
[tex]\frac{23}{CF} = \frac{5x - 4}{2CF}[/tex] substituted known values
23(2CF) = CF(5x - 4) cross multiplied
23(2) = 5x - 4 divided both sides by CF
46 = 5x - 4 simplified
50 = 5x added 4 to both sides
10 = x divided both sides by 5
Answer: 10
Need help please please
100 POINTS BRAINLIEST QUESTION ATTACHED
-1 plz mark brainliest
Find 4 on the x-line (the horizontal line).
Find where the red line crosses through that is where the 4 is at.
Once you find it, trace the line in which the 4 is x, and find the y.
The line gives (4, -1)
Find the slope of the line.
(4, -1) = (x₁ , y₁)
(0, 2) = (x₂ , y₂)
slope = (y₂ - y₁)/(x₂ - x₁) = (2 - (-1)/(0 - 4) = 3/-4
y = (-3/4)x + b
Plug in a point, for example (0, 2)
2 = (-3/4)0 + b
Simplify
2 = 0 + b
b = 2
Plug in 2 for b
---------------------------------------------------------------------------------------------------------------------------
f(x) = (-3/4)x + 2 is your equation.
Now, plug in 4 for x (as you are solving for x.
f(x) = (-3/4)(4) + 2
Simplify
f(x) = -3 + 2
f(x) = -1
-1 is your function when x = 4
hope this helps