Answer:
2 laborers and 33 ops
Step-by-step explanation:
Given
Let:
L = Laborers
P = Ops
From the statements, we have:
[tex]L + P = 35[/tex] -- total people hired; and
[tex]140P + 100L = 4820[/tex] ---number of hirees
Required
Solve for L and P
Make L the subject in: [tex]L + P = 35[/tex]
[tex]L = 35 - P[/tex]
Substitute [tex]L = 35 - P[/tex] in [tex]140P + 100L = 4820[/tex]
[tex]140P + 100(35 - P) = 4820[/tex]
[tex]140P + 3500 - 100P = 4820[/tex]
Collect like terms
[tex]140P - 100P = 4820 - 3500[/tex]
[tex]40P = 1320[/tex]
Solve for P
[tex]P = 1320/40[/tex]
[tex]P = 33[/tex]
Substitute [tex]P = 33[/tex] in [tex]L = 35 - P[/tex]
[tex]L = 35 - 33[/tex]
[tex]L = 2[/tex]
Please help divide 5 652 to the ratio 2:3:5 I will give brainliesters
thank you in advance
Answer:
105
Step-by-step explanation:
(-20+5)(58-65)
(-15)(-7)
105
can someone help??!???!?!
Answer:
download discord
Answer:
im confused-
Step-by-step explanation:
Can someone please help me with this
Answer:
Step-by-step explanation:
5- There are 2 right-angled triangles and 1 equilateral triangle or you can just say triangles
6- area for a triangle is a=bh(1/2)
so 4×3=12(1/2)=6
and 4×3=12(1/2)=6
In both triangles, they're a=6
7- 4×6=24(1/2)=12
the top flag is a=12
8-12+6+6=24
9- the rectangular flag has an area of 24 since a=bh and the added areas of the triangles are 24. I conclude that these are two ways of finding the area of this rectangular flag.
hope this helps : )
Solve: x - (-6) = -2
Answer: = -8
Step-by-step explanation: Your welcome!
Glenn needs to cut pieces of ribbon that are each 1 meter long to make ribbon key chains. If he has 6 pieces of ribbon that are each 1 dekameter long, how many 1−meter pieces of ribbon can he cut?
Answer: 60
Step-by-step explanation:
1=10. x6=60
i need help please i’ll give u a brainliest
Answer:
12
Step-by-step explanation:
c = sqrt(a^2+b^2)
Imput numbers and solve for b!
-2x - 5x + 3 - 8 please help
Answer:
-7x - 5
Step-by-step explanation:
Combine like terms.
PLEASE SOMEONE HELLPPP i actually need it
state a,b, and the y-intercept then graph the function on a graphing calculator
Answer:
No x-intercepts
y-intercepts: (0,2)
Step-by-step explanation:
HELP PLEASE VERY MUCH AND THANK YOU!!! look at screenshot
Answer:
They are both correcte
Step-by-step explanation:
Imagine a pizza with 6 slices
Half of 6 slices is 3 slices, or 3/6
If you simplify 3/6, you will get 1/2
So, both fractions are equal, but in different forms.
For better context see images below!
X^2-2(x+5)
Help me PLSSS
Answer:
hope this helpss
Step-by-step explanation:
Answer:
Step-by-step explanation:
if you have to simplify it then distribute -2
x²-2(x+5)=x²-2x-10
if problem is as mentioned by other answerer,then
[tex]\frac{d}{dx} (x^2-2(x+5))=-2\\x^2-2x-10= \int (-2dx)+c\\x^2-2x-10=-2x+c\\x^2=c+10\\x=\pm \sqrt{c+10}[/tex]
If the sin 90º = 1, then which statement is true?
Answer:
cos 0° = 1, because the cosine and sine are complements
Step-by-step explanation:
Here is the formula: sin 0 = cos (90°- 0) or cos 0 = sin (90°- 0)
So it would be: cos 0° = sin (90° - 0°) = sin 90° = 1
During his shift at Pennant Sports Shop, Sam compared the items sold during last weekend's sale. There were 25 lacrosse sticks sold on Friday, 10 of which were defense sticks. There were 50 lacrosse sticks sold on Saturday, 15 of which were defense sticks. Did Pennant Sports Shop sell the same ratio of defense sticks to total lacrosse sticks on both days?
Answer: No. Pennant Sports Shop did not sell the same ratio of defense sticks to total lacrosse sticks on both days.
Step-by-step explanation:
On Friday, there were 25 lacrosse sticks sold, 10 of which were defense sticks. The ratio of defense sticks to lacrosse will be:
= 10/25 = 2/5 = 2:5
On Saturday, there were 50 lacrosse sticks sold, 15 of which were defense stick. The ratio of defense sticks to lacrosse will be:
= 15/50 = 3/10 = 3:10
Based on the calculation above, Pennant Sports Shop did not sell the same ratio of defense sticks to total lacrosse sticks on both days
ABM Services paid a $4.15 annual dividend on a day it closed at a price of $54 per share. What
was the yield?
Answer:
the yield is 7.68%
Step-by-step explanation:
The calculation of the yield is given below:
we know that
Yield is
= Annual dividend ÷ Price per share
= $4.15 ÷ $54
= 7.68%
Here we divide the annual dividend by the price per share in order to determine the yield
hence, the yield is 7.68%
And, the same would be considered
Solve each inequality.
2s+5> 49
_
Answer: S > 22
Step-by-step explanation:
Answer:
s = 23 and above
Step-by-step explanation:
2s + 5 > 49
-5 -5
2s > 44
44/2
= 22
However, the answer for s is not 22
Since it has this sign > not ≥ then that means s = 23 and above
Check:
2(23) + 5 > 49
46 + 5 > 49
51 > 49
Find the perimeter of a regular hexagon with side length 4 meters.
Answer:
i think it is 24 meters
Answer:
24 meters
Step-by-step explanation:
perimeter of regular hexagon is
perimeter = 6 × a
where a is the side length
so in the problem a = 4 meters
by apply the formula you will have
perimeter = 6 x 4 meters
perimeter =24 meters
If a man invests $1000 in a savings account and another $1000 in a fixed deposit. If the savings account pays 4.5% interest per annum and the fixed deposit pays 6% interest per annum, find the total amount after 1 year of investment. Please I need a quick answer to this!
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Savings account:
PV= $1,000
n= 1
i= 0.045
Fixed Deposit:
PV= $1,000
n= 1
i= 0.06
To calculate the future value, we need to use the following formula:
FV= PV*(1+i)^n
Savings account:
FV= 1,000*1.045^1
FV= $1,045
Fixed deposit:
FV= 1,000*1.06^1
FV= $1,060
Guided Practice
Find the square.
(c + 1)2
A.
c2 + 1
B.
c2 + c + 1
C.
c2 + 2c + 1
Answer:
C
Step-by-step explanation:
(c + 1)(c+1) = c² + c + c + 1 = c² + 2c + 1
2, 3, 1, 6, 4, 5, 3, 2, 3, 4 is the set
Answer: A
because It has 1 one 2 twos 3 threes 2 fours 1 five And 1 six
PLSS HELPP D: WILL MARK BRAINLIEST :D
Answer:
√49
Step-by-step explanation:
It's a perfect square root.
Please brainliest ;)
Solve the following exponential equations
Answer:
x = 2, y = - 25
Step-by-step explanation:
(1)
note that 36 = 6² , then
[tex]6^{x}[/tex] = 6²
Since bases on both sides are equal then equate the exponents
x = 2
------------------------------------------
(2)
Using the rule of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
note that 25 = 5² , then
[tex]25^{11+3y}[/tex] = [tex](5^2)^{11+3y}[/tex] = [tex]5^{22+6y}[/tex]
Then
[tex]5^{5y-3}[/tex] = [tex]5^{22+6y}[/tex]
Since bases on both sides are equal then equate the exponents
22 + 6y = 5y - 3 ( subtract 5y from both sides )
22 + y = - 3 ( subtract 22 from both sides )
y = - 25
three line segments have measures of 4 units, 6 units, and 8 units. Will the segments form a triangle?
Given:
Three line segments have measures of 4 units, 6 units, and 8 units.
To find:
Will the segments form a triangle?
Solution:
We know that three line segments can form a triangle if the sum of two smaller sides is greater than the largest side.
Three line segments have measures of 4 units, 6 units, and 8 units. Here, the measure of the largest sides is 8 units.
The sum of two smaller sides is
[tex]4+6=10[/tex]
[tex]4+6>8[/tex]
Since the sum of two smaller sides is greater than the largest side, therefore the segments will form a triangle.
James joins Club One which charges a monthly membershi[ of $ 19.99. How much will James spend in all, if he continues his membership for 6 months?
Answer:
James will spend $119.94
Step-by-step explanation:
Multiply $19.99 by 6.
$19.99 x 6 = $119.94
Find the distance between the points (4,10) and (4, -7)
Answer:
17
Step-by-step explanation:
Hello There!
Once again we are going to use the distance formula to find the answer
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
This time we need to find the distance between the points (4,10) and (4,-7)
*we plug in the values into the formula)
[tex]d=\sqrt{(4-4)^2+(-7-10)^2} \\4-4=0\\-7-10=17\\d=\sqrt{0^2+(-17)^2} \\0^2=0\\-17^2=289\\\sqrt{289} =17[/tex]
so we can conclude that the distance between the points (4,10) and (4,-7) is 17 units
Please help will mark brainliest!!
Find the surface area of each figure. Round to the nearest tenth if necessary.
Answer:
9 - 166.42m²
10 - 308.8cm²
Step-by-step explanation:
The first figure shown is a triangular prism
We can find the surface area using this formula
[tex]SA=bh+L(S_1+S_2+h)[/tex]
where
B = base length
H = height
L = length
S1 = base length
S2 = slant height ( base's hypotenuse )
The triangular prism has the following dimensions
Base Length = 4m
Height = 5.7m
Length = 8.6m
S1 = 4m
S2 = 7m
Having found the needed dimensions we plug them into the formula
SA = ( 4 * 5.7 ) + 8.6 ( 4 + 7 + 5.7 )
4 * 5.7 = 22.8
4 + 7 + 5.7 = 16.7
8.6 * 16.7 = 143.62
22.8 + 143.62 = 166.42
Hence the surface area of the triangular prism is 166.42m²
The second figure shown is a pyramid
The surface area of a pyramid can be found using this formula
[tex]SA = A+\frac{1}{2} ps[/tex]
Where
A = Area of base
p = perimeter of base
s = slant height
The base of the pyramid is a square so we can easily find the area of the base by multiplying the base length by itself
So A = 8 * 8
8 * 8 = 64
So the area of the base (A) is equal to 64 cm^2
The perimeter of the base can easily be found by multiplying the base length by 4
So p = 4 * 8
4 * 8 = 32 so p = 32
The slant height is already given (15.3 cm)
Now that we have found everything needed we plug in the values into the formula
SA = 64 + 1/2 32 * 15.3
1/2 * 32 = 16
16 * 15.3 = 244.8
244.8 + 64 = 308.8
Hence the surface area of the pyramid is 308.8cm²
Does anyone know how to do this because im confused.
Answer:
no but choose b if u don't know it it usually works for me sorry if I don't help :(
Answer:
y=-3x is the bottom right one
y=4x is the top middle
y=x-3 is the top right one
Step-by-step explanation:
Help me plz! I need help!
Answer:
function 2
Step-by-step explanation:
i looked at the table, and since t (which is the x-coordinate in this case) was 0, that means that 5.25 is the y-coordinate and is greater than 5 in the first equation.
Which of the following points is not an ordered pair for the function
ƒ(x ) =5/2 x + 6?
(4, 16)
(2, 7)
(-2, 1)
Answer:
(2, 7) is not an ordered pair for the function.
Step-by-step explanation:
8 ft
Find the area of the figure.
Answer:
Area of a rectangle is length multiplied by the width. In this case, length is equal to width. So, Area is 8 ft * 8 ft which is 64 ft2.
(10-4)²(12+10/2)=_________
Answer:
should be 612
Step-by-step explanation:
Answer:
(10-4)²(12+10/2)=
(6)²(12+5)=
(36) (17) = 612