Matthew will need 222 feet of fabric to make 74 curtains.
According to the question,
We have the following information:
Required length of each curtain = 36 inches
Total number of curtains to be made = 74
Now, the total length of the fabric needed to make 4 curtains can be found by multiplying length of one curtain by total number of curtains.
So, we have the following expression:
36*74
2664 inches
Now, we will convert this into feet:
1 inch = 1/12 foot
2664 inches = 2664/12 feet
2664 inches = 222 feet
Hence, Matthew will need 222 feet of fabric to make 74 curtains.
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10r minus 2r plus 4 minus 7r plus 3
The answer would be...
R + 7
Step-by-step explanation:
collect like terms
10r - 2r - 7r + 4 - 3 =
= r + 1
Find the slope of a line
that is PARALLEL
to
v=1/x-7
y
Answer:
x4.2
Step-by-step explanation:
Pls someone help with calculations work out!
Answer:
1. [tex]3^{2} + 4^{2} = 9 + 16 = 25[/tex]
2. [tex]10^{2} + 8^{2} = 100 + 64 = 164[/tex]
3. [tex]13^{2} + 10^2=169+100=269[/tex]
4. [tex]20^2+5^2=400+25=425[/tex]
5. [tex]15^2-9^2=225-81=144[/tex]
6. [tex]17^2-10^2=289-100=189[/tex]
7. [tex]18^2-14^2=324-196=128[/tex]
8. [tex]20^2-12^2=400-144=256[/tex]
What number is represented by the expanded form shown? write the number in the place-value chart.
Using the conversion of expanded form, 7 comes tens place, 8 comes in ones place, 6 comes hundredth place after decimal and 3 comes thousandth place after decimal.
In the given question,
We have to check what number is represented by the expanded form.
The given expanded form is
70+8+6/100+3/1000
The tenths place is represented by the first digit following the decimal. The hundredths place is represented by the digit that follows the decimal. Up until there are no more digits, the remaining ones keep the place values filled in. the quantity.
We have to check in which place what number comes.
Firstly we see the number 70. In the number we can see that 7 is in tens place. So in the chart in place of tens 7 come.
Now we can see that 8 is in ones place. So 8 comes in ones place in chart.
Now we check next number 6/100. As we can see that 6 is divide by 100 so it represent decimal value. Since it is divided by 100 so 6 comes in hundredth place after decimal.
Now we check number 3/1000. As we can see that 3 is divide by 1000 so it represent decimal value. Since it is divided by 1000 so 3 comes in thousandth place after decimal.
The completed chart is below.
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Simplify C (9, 3)
3!
6!9!
9!
3!
9!
6!3!
3!
9!
Answer:
12
Step-by-step explanation:
pls make me the brainliest
which expression is equivalent to 10q+5
Answer:
5q+5q+5
Step-by-step explanation:
If triangle RST is an equilateral triangle, what is the measure of angle STR
The measure of the angle STR is ∠STR = 60°.
What is an equilateral triangle?
An equilateral triangle is a triangle with the same length on all three sides. An equilateral triangle is also equiangular in Euclidean geometry; that is, all three internal angles are congruent to each other and are each 60°.
Given data:
The given triangle RST is an equilateral triangle and we have to find out the measure of angle STR.
As the property of an equilateral triangle says that "All three internal angles are congruent to each other and are each 60°."
So we can say that the measure of the angle STR = 60°.
∠STR = 60°.
Hence, the measure of the angle STR is ∠STR = 60°.
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The double number line shows the number of children 1 adult supervises on a field trip. Adults Children Complete the table to show the same information as the double number line: Adults Children 66 15 Nee'
Pls I really need help I'm not the well at math
The number of 8 adults will supervise 48 children, 66 children will be supervised by 11 adults and 15 adults will supervise 90 children.
According to the question,
We have the following information:
1 adult supervises 6 children.
Now, for the first one, we have to find number of children to be supervised by 8 adults.
1 adult = 6 children
8 adults = 8*6 children
8 adults = 48 children
Now, for the second one, we have to find the number of adults for 66 children:
1 children = 1/6 adult
66 children = 66/6 adults
66 children = 11 adults
Now, for the third one, we have to find number of children for 15 adults:
15 adults = 15*6 children
15 adults = 90 children
Hence, the number of 8 adults will supervise 48 children, 66 children will be supervised by 11 adults and 15 adults will supervise 90 children.
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Answer: First is 48 Second is 11 Third is 90
Step-by-step explanation: I did it on Khan ✔
Find the 7th term in the
sequence
1/3, 1, 3, 9,. ..
Answer: 243
Step-by-step explanation: the thing that happens every time is the number gets multiplied by 3. 1/3, 1, 3, 9, 27, 81, 243
hope this helps!
please give brainliest!
Answer:243
Step-by-step explanation:The terms are being multiplied by 3. 1/3 times 3 is 1, 1 times 3 is 3, 3 times 3 is 9.
How do I find the new scale factor?
The coordinates of the triangle before and after transformations is below
preimage image (dilation) image (translation)
D (3, -1) D' (12, -4) D''(4, -8)
E (2, 0) E' (8, 0) E''(0, -4)
F (1, -2) F' (4, -8) F''(-4, -12)
How to find the coordinates of the imageDilation is a method of transformation that magnify or shrink the preimage depending on the scale factor
The transformation rule for dilation is as follows
(x, y) for a scale factor of r → (rx, ry)
The translation is down 4 units and left 8 units, the transformation rule is
(x, y) → (x - 8, y - 4)
The transformation rule is applied as shown
preimage image (dilation) image (translation)
D (3, -1) → (3 * 4, -1 * 4) → D' (12, -4) → (12 - 8, -4 - 4) → D''(4, -8)
E (2, 0) → (2 * 4, 0 * 4) → E' (8, 0) → (8 - 8, 0 - 4) → E''(0, -4)
F (1, -2) → (1 * 4, -2 * 4) → F' (4, -8) → (4 - 8, -8 - 4) → F''(-4, -12)
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Question Progress
Homework Progress
10/29 Marks
The nth term of a sequence is n² + 20
a) Work out the first three terms of the sequence.
b) How many terms in the sequence are less than 50?
a) The first three terms of the sequence are 21, 24 and 29.
b) There are 6 terms in the sequence are less than 50.
What is Geometric sequence?
An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.
Given that;
The nth term of a sequence is,
⇒ n² + 20
Now,
Since, The nth term of a sequence is,
⇒ n² + 20
First term of the sequence is,
⇒ n² + 20
⇒ 1² + 20
⇒ 1 + 20
⇒ 21
Second term of the sequence is,
⇒ n² + 20
⇒ 2² + 20
⇒ 4 + 20
⇒ 24
Third term of the sequence is,
⇒ n² + 20
⇒ 3² + 20
⇒ 9 + 20
⇒ 29
Thus, The first three terms of the sequence are 21, 24 and 29.
And, The fourth term of the sequence is,
⇒ n² + 20
⇒ 4² + 20
⇒ 16 + 20
⇒ 36
And, The fifth term of the sequence is,
⇒ n² + 20
⇒ 5² + 20
⇒ 25 + 20
⇒ 45
The sixth term of the sequence is,
⇒ n² + 20
⇒ 6² + 20
⇒ 36 + 20
⇒ 56
So, There are 6 terms in the sequence are less than 50.
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PLEASE HELP AND ANSWER THESE QUESTIONS IN DEPTH, WILL GIVE MAX POINTS!!
please go over how you get these answers and explain for 23 and 24
23.
f(x) is just a function in terms of x.
where it says 4f(2) all that means is 4 times the function when x is 2.
To work it out, you just need to swap all xs with 2 and calculate what that is. That gives you f(2), then multiply that answer by 4 to get 4f(2)
Same thing for g(x). First step swap xs for 6 to get g(6) then multiply answer to get 6g(6). At that point, you should have 2 numbers with no x's and you can minus the f by g.
24. Is about compound interest which means that after each year a new amount is worked out rather than a flat amount for the whole 8 years.
2 ways to tackle it, you could work out 8% of each year but that would require you to work it out 8 times which is time consuming and possible to make errors.
2nd way is much easier in that regard.
Final Answer = Initial Amount * (1 + interest rate)^amount of years.
Answer = 5000*(1+0.08)^8
Solve the equation 4.2g+ 5 =2.2g + 11 Find the value of g. b. Explain how you can check that the value you found for g is correct. If your check does not work, does that mean that your result is incorrect? Explain.
The value of b in the equation 4.2g+ 5 =2.2g + 11 is g = 3 .
In the question ,
it is given that ,
the equation is 4.2g+ 5 =2.2g + 11
on arranging like terms together , we get
4.2g - 2.2g = 11 - 5
2g = 6
g = 6/2
g = 3
the value of g is = 3 .
to check whether the value g = 3 is correct ,
we substitute g = 3 , in the equation
4.2(3)+ 5 =2.2(3) + 11
12.6 + 5 = 6.6 + 11
17.6 = 17.6
So , the answer that g = 3 is correct .
Therefore , The value of b in the equation 4.2g+ 5 =2.2g + 11 is g = 3 .
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ƒ(x) = −x² – 10x – 9
Find ƒ(−1)
Answer: 0
Step-by-step explanation:
ƒ(x) = −x² – 10x – 9
Putting value of x as -1
the function is as followed:
ƒ(-1) = -(-1)^2 - 10 (-1) - 9
ƒ(-1) = -1 +10-9
ƒ(-1) = 9-9
= 0
Find the value of r so the line that passes through the pair of points has the given slope.
(12, 10), (−2, r), m=−4
As per the slope intercept form, the value of r is 66.
Slope intercept form:
In order to find the slope intercept form, we have to use the formula,
y = mx + c
where
(x, y) refers the point
m refers the slope
c refers the y-intercept.
Given,
Here we have the pair of points (12, 10), (−2, r) and the value of slope which is m = -4.
Now, we need to find the value of r.
We know that the general form of the slope intercept form is
y = mx + c
First we have to use the slope and the point (12, 10), to find the intercept of the line,
So, we have to apply the value on the formula, then we get,
10 = -4(12) + c
10 = -48 + c
c = 58
So, the slope intercept form equation is
y = -4x + 58
In order to find the value of r, we have to apply the point (-2,r) on the equation, then we get,
r = -4(-2) + 58
r = 8 + 58
r = 66
Therefore, the value of r is 66.
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A piece of manufacturing equipment can produce enough items to fill an order
in 10 hours. If an auxiliary piece of equipment is used also, it will take 7 hours
How long would it take the auxiliary equipment to fill the order working alone
It take the auxiliary equipment to fill the order working alone x is 70/3
How long would it take?Formulate based on the conditions stated:
10 * x/(10+x) = 7
In a defined fraction, the denominator cannot be zero.
10+x is not equal 0
Equation from inequality:
10+x=0
Unknown terms should be moved to the left side of the equation:
x = -10
Equation to inequality conversion
x is not equal to 10
As the domain, append the inequality:x is not equal to 10
Divide the common denominator by both sides of the equation:
10x(10+x)/10+x = 7(10+x)
Cut the fractions in half:
10x = 7(10+x)
Use the law of multiplicative distribution
10x = 70 +7x
Unknown terms should be moved to the left side of the equation:
10x-7x=70
combining similar terms 3x =70
Subtract the coefficient of the variable from both sides of the equation:
x = 70/3
the intersection, then: 70/3
get the outcome:x = 70/3
It take the auxiliary equipment to fill the order working alone x is 70/3
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Two angles in triangle PQR are congruent, ∠P and ∠Q; ∠R measures 34.15°. What is the measure of ∠P?
145.85°
57.45°
34.15°
72.925°
Answer:
(d) 72.925°
Step-by-step explanation:
You have congruent angles P and Q in triangle PQR, where angle R measures 34.15°. You want to know the measure of angle P.
Angle sum theoremThe angle sum theorem tells you the sum of angles in a triangle is 180°.
P +Q +R = 180°
P +P +34.15° = 180° . . . . . substitute equivalents
2P = 145.85° . . . . . . . . . subtract 34.15°
P = 72.925° . . . . . . . . divide by 2
The measure of ∠P is 72.925°.
which of the following is not implied when average inventory is q/2, where q is the order quantity? the previous order quantity is entirely depleted when the next order arrives. backorders are permitted an order quantity is depleted at a uniform rate over time. an entire order quantity arrives at one time.
The option that is not implied when average inventory is q/2, where q is the order quantity is; B: backorders are permitted
How to Interpret Average Inventory?Average inventory is defined as a calculation of inventory items that are averaged over two or more accounting periods. To get the calculation of the average inventory over a year, what we will do is to add the inventory counts at the end of each month and then divide it by the number of months.
Now, inventory is usually held against uncertain usage so that a supply of items is available if needed. Thus, The maximum inventory with backorders is calculated as Q - S
where;
S is size of the reorder point
Q is the quantity of order
Looking at the given options, the one that does not imply average inventory is q/2 is option B
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It is proved that ∠ADB ≅ ∠ADC using the SSS property of a triangle.
What are congruent triangles?The size of the sides and angles determines whether two or more triangles are congruent. The three sides and three angles of a triangle define its size and shape, accordingly. Two triangles are said to be congruent if their respective side and angle pairs are the same. They are identical in terms of both dimensions shape and size.
Given AB = AC
∠1 = ∠2
Consider, triangke BDC
If two angles are equal then their opposite sides are equal. Therefore,
BD = DC
Now consider triangles ADB and ADC
AB = AC (given)
AD = AD ( common)
DB = DC (sides of an isosceles triangle)
So, ΔADB≅ΔADC [SSS property]
Now, we can write ∠ADB ≅ ∠ADC.
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ZA and B are supplementary angles. If mA (x - 9)° and
m/B= (7x + 21)°, then find the measure of ZB.
The measurement of ∠B is 168°
Given,
In the question:
Angle A and Angle B are supplementary angles.
If mA (x - 9)° and m/B= (7x + 21)°
To find the measure of ∠B
Now, According to the question;
What are supplementary angles?
Two angles are Supplementary when they add up to 180 degrees.
Now, ∠A+∠B = 180°
So,
⇒(x - 9)˚+(7x + 21)°=180°
=> 8x +12 = 180°
=> 8x = 180° - 12
=> 8x = 168
=> x = 168/8
=> x = 21
For the measure of ∠B :
∠B = (7x + 21)
∠B = 7 x 21 + 21
∠B = 168°
Hence, The measurement of ∠B is 168°
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Add (3 - 5i) (-2 8i). sum of real parts: sum of imaginary parts: i
The multiple of I is the imaginary portion. It is customary to write z = a + bi, where a represents the real part and b represents the imaginary part, to represent complex numbers. where b is the imaginary part and a represents the real part. Sum of Real parts and sum of imaginary parts i is (1 + 3i)
Explain about imaginary parts?A and b are referred to as the "real component" and "imaginary part," respectively, of the complex number z=a+bi. If a=0, the complex number is "purely imaginary," and if b=0, it is a real number.
Real components add up to 1, while imaginary parts add up to 3i.
A complex number is stated in its standard form as z = x + iy, where x represents the real part and y represents the imaginary part because it is connected to the imaginary axis.
Considering the formula (3 - 5i) + (-2 + 8i).
Collect similar phrases into real and fictitious parts as follows:
= (3 - 5i) + (-2 + 8i)
= (3 - 2 - 5i + 8i)
=(1 + 3i)
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[tex]\frac{bd}{a}[/tex]+c if a=−2, b=3, c=−12, and d=−4.
Answer:
-6
Step-by-step explanation:
3(-4)/-2+(-12)
=-12/-2+(-12)
=6-12
=-6
the dashed line triangle is a dilation image of the solid lined triangle is the dilation an enlargement or a reduction? what is the scale factor of the dilation?
A. reduction; 1/4
B. Enlargement; 2
C. reduction; 1/2
D. reduction; 2
The dilation of the solid lined triangle is a reduction and the scale factor of the dilation is 1/2. Therefore, the correct answer option is: C. reduction; 1/2.
The rules for the dilation of a geometric figure.In Mathematics, the rules listed below should be applied in order to interpret and understand the dilation of a geometric figure:
A geometric figure is enlarged when the scale factor is greater than 1.A geometric figure is reduced when the scale factor is less than 1.A geometric figure remains the same when the scale factor is equal to 1.In this scenario, the dashed line triangle and solid lined triangle are similar based on the Angle Angle Angle (AAA) similarity property. Therefore, we have the following:
Scale factor = Dimension of image/Dimension of original figure
Scale factor = 6/12
Scale factor = 1/2.
Scale factor = Dimension of image/Dimension of original figure
Scale factor = 4/8
Scale factor = 1/2.
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The maximum value of a linear objective function ____ occurs at exactly one vertex of the feasible region.
never
always
sometimes
The answer choice which should fill the blank in the task content is; Sometimes.
The maximum value of a linear objective function sometimes occurs at exactly one vertex of the feasible region.
Where does the maximum of a linear objective function exist?It follows from the task content that the maximum value of a linear function is established as occuring at the vertex of the feasible region; however, it is required to determine if this is always, never or sometimes.
When the graph of a system of inequalities, usually the constraint inequalities forms a region that is closed, the region is said to be bounded and the region is termed the feasible region as all constraints are satisfied in this region.
Furthermore, If the linear programming problem can be optimized, an optimal (minimum or maximum) value will occur at one of the vertices of the region representing the set of feasible solutions.
However, more than one vertex may produce the maximum value; hence, the correct answer choice is; sometimes.
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what is 3+1x 4+ (-7)
The floor of a storage unit is 9 meters long and 12 meters wide. What is the distance between two opposite corners of the floor
The distance between two opposite corners of the floor is 15.
What is the Diagonal of a Rectangle?
A line segment that connects any two of a rectangle's non-adjacent corners is said to be it's diagonal.
The formula for calculating a rectangle's diagonal length (d) is
[tex]d = \sqrt{l^{2} + w^{2} }[/tex]
where,l = length of the rectangle
w = width of the rectangle
Given, the length of floor (l) = 9 meters
width of the floor (w) = 12 meters
Then, diagonal, [tex]d = \sqrt{l^{2} + w^{2} }[/tex]
or, [tex]d = \sqrt{9^{2} + 12^{2} }[/tex]
or, [tex]d = \sqrt{81 + 144 } = \sqrt{225} = 15[/tex]
Hence, the distance between two opposite corners is 15.
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6. Calculate the volume of a cuboid with a square base
The base of the cuboid has an area of 25 cm²
The height of the cuboid is 7cm
Answer:
Step-by-step explanation:
Answer:
V = 175 cm³
Step-by-step explanation:
the volume (V) of a cuboid is calculated as
V = Ah ( A is the area of the base and h is the height )
here A = 25 and h = 7 , then
V = 25 × 7 = 175 cm³
What is an equation of the line that passes through the points (-3, -5) and (-2, -4)?
Answer:
Step-by-step explanation:
[tex]y=mx+b\\m=\frac{y_2-y_1}{x_2-x_1}\\(x_1,y_1)=(-3,-5)\\(x_2,y_2)=(-2,-4)\\m=\frac{-4-(-5)}{-2-(-3)}\\m=\frac{-4+5}{-2+3}\\m=\frac{1}{1}\\m=1\\\\y=mx+b\\(-5)=(1)(-3)+b\\b=-2\\\\y=x-2[/tex]
Carmen tutor hitory. For each hour that he tutor , he earn 30 dollar. Let E be her earning (in dollar) after tutoring for H hour. Write an equation relating E to H. Then ue the equation to find Carmen’ earning after tutoring for 13 hour
Camron (E) = 20h, she earns $300 for 15 hours.
What is unitary method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.Recognizing the units and values is crucial when using the unitary technique to a problem.Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.acc to our question-
with the help of unitary methodCamron (E) = 20h, she earns $300 for 15 hours.Hence,Camron (E) = 20h, she earns $300 for 15 hours.
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Evaluate the expression: If x = -25 and y = 10, what is the value of x + y -10
Evaluating the expression in x = -25 and y = 10 gives the value -25.
How to evaluate the expression?Here we have the expression:
x + y - 10
And we want to evaluate it in x = -25 and y = 10, this just means that we need to replace the variables in the expression by the correspondent numbers.
Doing that we get:
-25 + 10 - 10
Now we can just simplify this expression:
-25 + 10 - 10 = -25 + (10 - 10) = -25
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