Answer:
Number of chairs = 24
Number of stools = 12
As about the question number 2, I think you should check whether the question you copied is correct are not.
Step-by-step explanation:
1. One person,
Three hours for a chair and two hours for a stool
Therefore, 12 people working for 8 hours;
Per person produced two chairs and one stool as 3+3+2=8 hours
12×2= 24 chairs and 12×1=12 stools.
A half circle is joined to an equilateral triangle with side lengths of 12 units.
What is the perimeter of the resulting shape? Type your answer in the box below.
Answer:
P = 12 pi units + 24 units.
Step-by-step explanation:
All sides of an equilateral triangle are of the same length. Here that length is 12 units. We take a circle of diameter 12 units and cut it in half through its center. Finally, we join the triangle (remembering that all of the side lengths are 12 units) to the half circle of diameter 12 units.
The half circle portion of the resulting shape has circumference 2(pi)(12 units) divided by 2, or 12 pi units. This is half the formula C = 2(pi)(r). The two non-attached sides of the triangle have a total length of 24 units.
Thus, the perimeter of the resulting figure is P = 12 pi units + 24 units.
6 divided by 4 write your answer in a decimal form
Answer:
1.5
Step-by-step explanation:
Four goes into six once, then four goes into 20 5 times
Find the solution(s) for x in the equation below.
x2 – 25 = 0
Answer:
x=5,-5
Step-by-step explanation:
lus
Suppose that y varies directly with x
and y = 10 when x = 20. What is y
when x = 15?
Enter your answer as a simplified fraction.
y =
Answer:
15/2
Step-by-step explanation:
y varies directly as x can be written as:
y & x
y = Kx
K = y/x
But from the question, we were told that:
y = 10
X = 20
K = y/x
K = 10/20
K = 1/2
The formula for the expression is:
y = Kx
y = 1/2 x
Now let us solve for y, when:
x = 15
y = 1/2 x
y = 1/2 x 15
y = 15/2
Answer:
When x = 15, y = 15/2
Step-by-step explanation:
Formula: "y varies directly with x" comes out to y = kx symbolically.
Find the value of the constant of proportionality, k: If y = 10 when x = 20, then this relationship becomes 10 = 20k, and k = 1/2.
Then the formula is y = (1/2)x.
When x = 15, y = 15/2
The formula to convert degrees Fahrenheit to degrees Celsius is: 'C = (5/9) ('F -32). The formula to convert degrees Celsius to degrees Fahrenheit is: 'F = 1.8 ('C) + 32. Using any of these formulas, determine, for what temperature the value of it in degrees Celsius is represented by the same number as its value in degrees Fahrenheit. Show your work. HINT: use either of those two equations, use x for 'C and use x for 'F, and solve it for x. The solution will be the answer to the problem (because the temperature is the same, and its numerical value in degrees Celsius in this case is the same as its number value in degrees Fahrenheit). *
Step-by-step explanation:
5/9 × (x - 32) = 1.8 × x + 32 = 9/5 × x + 32
5×(x - 32) = 9×9/5 × x + 32×9
5×5×(x - 32) = 9×9×x + 32×9×5
25x - 32×25 = 81x + 32×45
32×(-25 - 45) = 56x
4×(-70) = 7x
x = 4×(-10) = -40
-40° is the same temperature in Celsius and in Fahrenheit.
Check whether (19/9, 15/3) is
a solution of the equation 3a + b = 8 or
not where (a,b) is co-ordinate point.
Answer:
No, it is not a solution to the equation.
Step-by-step explanation:
If [tex]( \frac{19}{9} , \frac{15}{3} )[/tex] is a solution of the equation, the left-hand side (LHS) of the equation would equal to the right-hand side (RHS) of the equation.
3a +b= 8
When a= [tex] \frac{19}{9} [/tex], b= [tex] \frac{15}{3} [/tex],
LHS
= [tex]3( \frac{19}{9} ) + \frac{15}{3} [/tex]
[tex] = \frac{19}{3} + \frac{15}{3} [/tex]
[tex] = \frac{34}{3} [/tex]
[tex] \frac{34}{3} ≠8[/tex]
Since the left-hand side is not equal to the right-hand side of the equation, [tex]( \frac{19}{9} , \frac{15}{3} )[/tex] is not a solution of the equation.
Given equation is 3a+b = 8
Given point = (19/9,15/3)
Put a = 19/9 and b = 15/3 in LHS of the given equation then
⇛ 3(19/9)+(15/3)
⇛(19/3)+(15/3)
⇛ (19+15)/3
⇛ 34/3 ≠ 0
LHS ≠ RHS
Given point not satisfies the given equation
Therefore, it is not the solution of the given point.
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10/11 x 3/7 x 1/2 Multiply. Write your answer as a fraction in the simplest form.
Fractions are written as a ratio of two integers. The product of the fractions in its simplest form is 15/77
Simplification of fractionsFractions are written as a ratio of two integers
Give the expression
10/11 x 3/7 x 1/2
This can also be written as:
10/2 * 1/11 * 3/7
= 5/11 * 3/7
= 15/77
Hence the product of the fractions in its simplest form is 15/77
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We need to use 60 yards of fencing to enclose a rectangular shaped garden the length is 30 yards less than twice the width. Find the dimensions of the garden.
Answer:
W = 16 2/3 yards
L = 3 1/3 yards
Step-by-step explanation:
A rectangle will consist of two sides with length L, and two more sides with length W. Area will be W*L.
We are told that L is 30 yards less than 2W:
L = 2W - 30
We also learn that we have 60 yards of fencing for the perimeter, which is 2L + 2W.
Therefore, we can write: 2W + 2L = 60 yards.
I see the words "need to use," so I must conclude that all of the fencing must be used. This sounds like a domestic issue.
Let's use L=2W-20 in the equation 2W + 2L = 60:
2W + 2L = 60
2W + 2(2W-20) = 60
2W + 4W-40 = 60
6W =100
W = (100/6) = 16 2/3 yards
L = 2W - 30
L = 2(16+(2/3)) - 30
L = 33 1/3 - 30
L = 3 1/3 yards
===============
Is the length 30 yards less than twice the width?
2W = 33.33
33.33 - 3.33 = 30 yards YES
helppppppppppppppppppppppppppppp
Answer:C
Step-by-step explanation:
I seraph it up
Latisha works x hours a day.
No. of hours Demetrius works = x+1 a day.
No. of working days a week = 5
No. of hours Demetrius works weekly =
= 5(x+1)
which can also be written as 5x+5
So the c option is correct.
given the polynomial 6x^4+3x^3-7x^2+4x+5 choose all the following statements that are true?
A. The polynomial has a degree of 6
B. The polynomial has a leading coefficient of 4
C. The polynomial has 4 terms
D. The polynomial has a degree of 4
E. The polynomial has a leading coefficient of 6
Answer:
D and E are true
Step-by-step explanation:
The degree of a polynomial is the value of the largest exponent of the variable within the polynomial, that is the term
6[tex]x^{4}[/tex]
Thus the polynomial is of degree 4 → D
The leading coefficient is the coefficient of the variable with the largest exponent, that is
6[tex]x^{4}[/tex]
The leading coefficient is 6 → E
Katherine Johnson is best known for her work on ________.
Answer:
Pretty sure she was best known for calculating flight paths of spacecraft.
25.4 as mixed number
Answer:
6.25
Step-by-step explanation:
I believe you were trying to put a fraction in but accidentally pressed the period.
25/4
6 1/4
6.25
Answer:
25 2/5
Step-by-step explanation:
Hope it's right and it helps.
If (-2,11) and (9,22) are two
anchor points on the trend line,
then find the equation of the line.
y = [ ? ]x + [
Answer:
The equation of the line is- y = x + 13
Your friend has $100 when he goes to the fair. He spends $10 to enter the fair and $29 on food. Rude lady at the fair cost $2 per rude. Which function can be used to determine how much money he had left over after x rides?
Answer:
y=-2x-39
Step-by-step explanation:
Answer:
100=39+2x
Step-by-step explanation:
hoped that hedlp:P
what regular polygon has an interior angle of 156 degrees
Answer:
regular pentadecagon
Step-by-step explanation:
it has 15 sides
that is what matches the exterior angled sum property - 360degree
let me explain it
1 side = 180 - 156 = 24
360/24 = 15
mark me brainliest and thank me if you like the answer
Complete the table if x & y vary inversely
Answer:
(. ❛ ᴗ ❛.)(. ❛ ᴗ ❛.)(. ❛ ᴗ ❛.)(. ❛ ᴗ ❛.)(. ❛ ᴗ ❛.)
number 4 plssss!!!!!!!!!!
Answer:
AB = 21
Step-by-step explanation:
Tales' theorem
[tex]\frac{12}{14} =\frac{18}{AB}[/tex]
[tex]AB=\frac{(14)(18)}{12}[/tex]
[tex]AB=21[/tex]
Hope this helps
(i)Given that:
AE || BD
AB = ? [Let AB be x]
BC = 3
ED = 12
DC = 4
We know that
By Basic Proportionality Theorem,
AB/BC = ED/DC
On substituting these values in the above formula
⇛ AB / 3 = 12 / 4
On applying cross multiplication then
⇛ x(4) = (12)3
⇛ 4x = 36
Shift the number 4 from LHS to RHS.
⇛ x = 36÷4
⇛ x = 36/4
Therefore, AB = 9
Answer: The value of AB for the given problem is 9.
Similarly,
(ii) Given that:
EB || DC
AE = 14
ED = 12
AB = ? [Let AB be X]
BC = 18
We know that
By Basic Proportionality Theorem,
AE / ED = AB / BC
On substituting these values in the above formula
⇛ 14 / 12 = x / 18
On applying cross multiplication then
⇛ 14(18) = (12)x
⇛ 252 = 12x
Shift the number 252 from LHS to RHS.
⇛ X = 256÷12
⇛ X = 21
Therefore, AB = 21
Answer: The value of AB for the given problem is 21
Additional comment:
Basic Proportionality Theorem
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help me with this question plz with an explanation
Answer:
374mm squared
Step-by-step explanation:
Bottom rectangle can be cut off to equal 52mm, by multipling 4 by 13
the rest is 14*23, which equals 322mm
add those together to get 374mm squared
Answer:
374 square millimeters
Step-by-step explanation:
First, we can split the shape into 2 rectangles.
This will give us a rectangle with a width of 13 and 10.
Let's work out 1 rectangle at a time.
Area of a rectangle=Width times by legth
13*18=234- This is the area of 1 of the rectangles.
10*14=140- This is the area of the second rectangle
Now we add the areas together to get 374 square millimeters, which is the area of this figure.
what is .9 repeating as a fraction
There is no answer to this because:
Any digit repeating like that would usually be ?/9
Example: 0.1 repeating = 1/9
0.2 repeating = 2/9
0.8 repeating = 8/9
But 0.9 repeating? There should not be a fraction for that.
If you want to round up to 1, you can.
Y=-3x+1 y+5=-3(x-2) what do the following two equations represent A)The same line B)Distinct parallel lines C)Perpendicular Lines D)Intersecting, but not perpendicular lines
Answer:
C) perpendicular lines
7 1/3 x 7/11
simplify the answer completely and change to a mixed number
Answer:
Hello There!
Your question says that
[tex]7 \frac{1}{3} \times \frac{7}{11} [/tex]
Now lets convert mixed fraction to improper fraction
[tex]7 \frac{1}{3} \\ \\ so \: 7 \times 3 + 1 = 22 \\ \\ so \: \frac{22}{3} [/tex]
Now let's simplify..
[tex] \frac{22}{3} \times \frac{7}{11} \\ \\ [/tex]
Now simplify 22 and 11 so it will look like
[tex] \frac{2}{ 3} \times \frac{7}{1} \\ \\ multiply \: \frac{2 \times 7}{3 \times 1} \\ \\ = \frac{14}{3} [/tex]
Now lets convert it to mixed fraction...
[tex] \frac{14}{3} = 4 \frac{2}{3} \\ \\ [/tex]
So it is the answer
[tex]4 \: \frac{2}{3} \\ \\ [/tex]
I hope it is helpful to you..Cheers!______The product of the two given fraction is [tex]4\frac{2}{3}[/tex].
The given fractions are [tex]7\frac{1}{3}[/tex] and [tex]\frac{7}{11}[/tex].
Product of two fractions = Product of their numerators / Product of their denominators.
Here, [tex]7\frac{1}{3}[/tex] × [tex]\frac{7}{11}[/tex]
= [tex]\frac{22}{3} \times\frac{7}{11}[/tex]
= [tex]\frac{2}{3}\times\frac{7}{1}[/tex]
= [tex]\frac{14}{3}[/tex]
In mixed fraction [tex]4\frac{2}{3}[/tex]
Therefore, the product of the two given fraction is [tex]4\frac{2}{3}[/tex].
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Solve 4,200 ÷ 70 = ________. Rewrite as a fraction to help you.
Find the equation of a line that passes through the point (-4,1) and has a gradient of 2.
Leave your answer in the form
y=mx+c
ANSWER IT!!! I ONLY HAVE MINUTES
Answer:
D
Step-by-step explanation:
5 + n is the sum of 5 and a number
amd then "less than or equal to -7" represents the no more than -7
Answer:
D
Step-by-step explanation:
To the moderator that deleted my answer, that was not necessary in the slightest. Go back to reporting bots, not removing correct answers that are put there to help people
Please help this is due on Monday! Will give brainliest!!!!
Answer:
The awnser in the first option. A
how do I do this question?
Answer:
x = (y +2)/3
Step-by-step explanation:
y= 3x-2
y+2=3x
x=(y +2)/3
PLEASE HELP MEEEEEEEE
Step 6: Problem solving with presents
a) If the sales tax is 7% on all purchases, how much must you set aside for sales tax on $300? Show your work. (2 points)
Please help me its due tommorow
Answer:
read below for answers
Step-by-step explanation:
7. 4d + 6 =42
d = 9
8. -3y + 12 = -48
y = 20
9. k/2 + 9 = 30
k = 42
10. g/3 - 7 = 15
g = 66
11. z/5 + 3 = -35
z = -190
12. -9h - 15 = 93
h = -12
13. -3(n + 5) = 12
n = -9
14. -17 + b/8 = 13
b = -32
15. 7( c- 12 ) = -21
c = 9
16. -3 + p/7 = -5
p = -14
17. 46 = -6t - 8
t = -9
This is so stressful, i’ve tried everything and I don’t get this at all.
2. Graph each inequality on a number line:
5x + 15 < 0
Answer:
x < -3
Step-by-step explanation:
1. To put this inequality on a number line, we first must solve it.
Step 1: Subtract 15 from both sides.
[tex]5x + 15 - 15 < 0 - 15[/tex] [tex]5x < -15[/tex]Step 2: Divide both sides by 5.
[tex]\frac{5x}{5} <\frac{-15}{5}[/tex] [tex]x < -3[/tex]2. Now that we know x < -3, let's graph it!
Since it's less than, we make the number line point to the left, and we make the circle open.