Answer:
8 years
Salary: $95000
Step-by-step explanation:
Write an equation to model the salary and its raise per year. Add the base salary to the raise per year salary times (x). Where the parameter (x) represents the number of years spent in the company.
Company (1):
75000 + 2500x
Company (2):
55000 + 5000(x)
One is asked at which year will the salaries be the same. Equate the two expressions and solve for the variable (x):
75000 + 2500x = 55000 + 5000(x)
Inverse operations:
75000 + 2500x = 55000 + 5000x
20000 + 2500x = 5000x
20000 = 2500x
8 = x
Substitute (x) into any one of the experssions and simplify to solve the epxression,
55000 + 5000(x)
x = 8
= 55000 + 5000(8)
= 55000 + 40000
= 95000
Find the perimeter of the square. Be sure to write the correct unit in your answer.
21 yd
Perimeter is the distance around the outside.
A square has 4 equal sides:
Perimeter = 21 x 4 = 84 yards
Answer: Perimeter = 84 yd
Explanation:
Perimeter of square = 4 × side
Side = 21 yd
Perimeter = 4 × 21
= 84 yd
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find a number which is when added to it's square the sum will be 72.
Answer 8
8+8²=72
8+64=72
72=72
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7(8+a)=189 please help and give me step by step
Answer: a = 19
Step-by-step explanation:
Given
7 (8 + a) = 189
Divide 7 on both sides
7 (8 + a) / 7 = 189 / 7
8 + a = 27
Subtract 8 on both sides
8 + a - 8 = 27 - 8
a = 19
Hope this helps!! :)
Please let me know if you have any questions
can i get some help please
Answer:
28.26
Step-by-step explanation:
We want to find the area of the circle shown.
We can calculate the area of a circle using the formula A = πr²
where r = radius
The circle shown has a given diameter of 6
We want the radius.
To convert diameter to radius simply divide the measure of the radius by 2
So radius = 6 / 2 = 3
Now to find the area we simply plug in the value of the radius into the area of a circle formula
Area of a circle: A = πr²
r = 3
( Note that the question says to use 3.14 for π )
So π = 3.14
* Substitute values *
A = (3.14)(3)²
3² = 9
(3.14)(9) = 28.26
A = 28.26
And we are done!
factorize: xy-3x - 5y + 15
Answer:
Step-by-step explanation:
xy-3x-5y+15
x(y-3)-5(y-3)
(y-3)(x-5)
Last night, the two dinner specials at Will's favourite restaurant were salmon fillet and steak. The restaurant served 15 salmon fillets and 5 steaks. What percentage of the specials served were salmon fillets?
Answer:
75% of the specials served were salmon fillets
Step-by-step explanation:
We have that:
15 + 5 = 20 specials were served.
Of those, 5 were salmon fillets.
What percentage of the specials served were salmon fillets?
15*100%/20 = 75%
75% of the specials served were salmon fillets
Need help ASAP plz
Answer:
C) postulate
An axiom or a postulate is an accepted statement of fact.
OAmalOHopeO
Answer:
Im pretty sure its definition
(4y¹²) (3y)
Please help me
Instructions: Find the value of the trigonometric ratio. Make sure to
simplify the fraction if needed.
С
32
40
B
24
A
Tan C =
Answer:
tanC will be given by the opposite over the adjacent
tanC=24/32
simplified to 6/8
I hope this helps
Someone plz help me on this
Answer:
9²+x²=13²
81+x²=169
x²= 169-81
x²=88
X= 9.38
x=9.4[tex]x = \sqrt{88} [/tex]
Which polygon has an interior angle sum of 1080°?
Answer:
its octagon. first and last one it has total 8 sides
The diameter of a cylinder is 4 m. If the height is triple the radius, which is the closest to the
?volume of the cylinder
75.40 m3 o
251.33 m3 o
100.53 m3 o
613.19 m3 o
WILL MARK BRAINLIEST OR WHATEVER NEEDED ASAP
Answer:
A. 75.40 m³
Step-by-step explanation:
Diameter of cylinder (d) = 4 m
Radius (r) = ½(d) = ½(4) = 2 m
Height (h) = 3 × r = 3 × 2 = 6 m
Volume of cylinder = πr²h
Substitute the values
Volume of cylinder = π*2²*6
Volume of cylinder = π*4*6
Volume = π*24
Volume = 75.40 m³
Help pls, I need Help :D
who can help me out with this one?
Answer:
(x + 1)² + (y - 2)² = 9
Step-by-step explanation:
Equation of the circle with center (h, k):
(x - h)² + (y -k)² = r² where r is radius
Center(-1 , 2) ; r =3
(x - [-1])² + (y - 2)² = 3²
(x + 1)² + (y - 2)² = 9
i need help asap im timed
Answer:-
Refer to attachment for the required solution.
Answer:
Step-by-step explanation:
Pleeeeeeeeaaaaaaaaaaaasse help 71 points!!!!!!!!!
Answer:
54
Step-by-step explanation:
The perimeter is the sum of the outside
P = 8+4+5+10+( 4+10) +(8+5)
P = 54
Given two consecutive integers whose sum is 45, find the smaller of the two integers.
Answer:
22 and 23
Step-by-step explanation:
let two consecutive number be
x and x+1
now,according to the question
x+x+1=45
or,2x=45-1
or,2x=44
or,x=44/2
:-x=22
Hence, the two consecutive numbers are
22 and 23
Find f(x)+g(x)
f(x)=x^2+6x-5
g(x)=-x^2-3x-1
Answer:
2x²+3x-6
Step-by-step explanation:
f(x)+g(x)
= x²+6x-5+x²-3x-1
=2x²+3x-6
100 points for you if you help me
Answer:
see below
Step-by-step explanation:
It is given that m<A +m<B = m<B + m<C. We can subtract angle B from each side using the subtraction property of equality. That leaves m<A = m<C We can use the symmetric property so that m<C = m<A
Answer:
[tex]thank \: you[/tex]
Plzz help me with this question my class test is going on
Step-by-step explanation:
2x+3y+5+4x-7y-8
2x+4x+3y-7y+5-8
6x-4y-3
Answer:
6x - 4y - 3
Step-by-step explanation:
They are basically telling you to sum both equations. So,
(2x + 3y + 5) + (4x - 7y - 8)
= 2x + 4x + 3y - 7y + 5 - 8
= 6x - 4y - 3
Find the missing angle. Round your answer to the nearest tenth. PLS HURRY.
Answer:
x = 24.4°
Hope this helps... Have a good day!!
write an inequality and show on a number line all numbers greater (-3) but less than equal to3
Answer:
-3<x<_3
You plot this on a number line by writing and open circle on -3 and drawing and arrow from that open circle all the way until 3 and them draw a closed circle on 3.
Step-by-step explanation:
Geometry - Triangle d) In the given figure, BE = EC and CE is the bisector of ZACB. Prove that ZBEC = ZACD. E B D С
Answer:
Let m∠BCE = x
Then m∠ACE = x as well since CE is bisecting ∠ACB.
m∠ACD + x + x = 180° ⇒ m∠ACD = 180° - 2xConsider ΔBEC
Since BE = EC, the opposite angles are congruent:
∠BCE ≅ ∠CBEThen:
m∠CBE = m∠BCE = xFind the angle BEC:
m∠BEC = 180° - (x + x) = 180° - 2xComparing the above we see that:
m∠BEC = m∠ACDproveda colleague needs to move a 500 pound object that's on a lever. the fulcrum is 6 inches from the object. If your colleague weighs 180 pounds how far will your colleague need to be from the fulcrum to move the object? Use the formula B = (P x A) ÷ W, and round your answer to two decimal places.
Answer:
Step-by-step explanation:
The easier way to figure this is by using the concept of torque in physics. If the torque of the man is greater than that experienced by the box, the lever will tilt in the man's favor (in other words, he will move down and the box will be lifted). Torque is found by multiplying the perpendicular force by the length of the lever arm. Because we want the man's torque to be greater than the box's torque, the inequality is:
[tex]\tau_{man}>\tau_{box}[/tex] and
[tex]180r>500(.1524)[/tex] That decimal is 6 inches in terms of meters.
180r > 76.2 so
r > .42 meters or `16.67 inches. The man has to sit at a distance greater than 16.67 inches in order for the box to be lifted by the lever.
What is the surface area of a sphere with a diameter of 14 cm?
1961 cm2
287 cm2
7841 cm2
981 cm2
Answer:
??
Step-by-step explanation:
how
did you get 616? are you even looking at the 4 answers?????
Geometry, please answer question ASAP
Answer:
It's 5 which is A.
Step-by-step explanation:
rachel rides her bicycle due east at 9 miles per hour amos rides his bicycle due north at 12 miles per hour if they left from the same point at the same time how far apart will they be after 1 hour
The distance between Rachel and Amos after one hour is 15 miles.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Distance travelled by Rachel after one hour = 9 mph * 1 h = 9 miles
Distance travelled by Amos after one hour = 12 mph * 1 h = 12 miles
Let x represent the distance between Rachel and Amos, hence:
x² = 9² + 12²
x = 15
The distance between Rachel and Amos after one hour is 15 miles.
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Using the Pythagorean Theorem, they will be 15 miles apart after one hour.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
For this problem, considering their directions, their distance is the hypotenuse of a right triangle of legs 9 miles and 12 miles, hence:
[tex]d^2 = 9^2 + 12^2[/tex]
[tex]d = \sqrt{9^2 + 12^2}[/tex]
d = 15 miles
More can be learned about the Pythagorean Theorem at https://brainly.com/question/654982
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Pls help. I really suck at math.
Determine whether the following polygons are similar.
Answer:
They are not similar.
To easily check if they are similar, you only need to look at the degrees angles, since if the angles are the same, the lengths of the sides will always come out to be similar somehow.
Those triangles possess right angles as you can see the little square thingie in the corners.
Those are 90 degrees, and you can add the 30 degrees in the left shape to 90 to get 120.
There are 180 degrees in a triangle, so 180 - 120 = 60.
Therefore, the unknown angle is 60.
A 30 60 90 triangle is called a special right triangle since there are many useful ratios hidden inside.
The other triangle has a 55 degree angle which is not on the first, so they must not be similar.
Pls brainly dont delete this link, its useful.
https://blog.prepscholar.com/30-60-90-triangle-ratio-formula
This helps you understand the special triangles.
You don't suck at math, you suck at geometry imo, though only in this unit of geometry, probably good at others.
Step-by-step explanation:
URGENT HELP PLS AND THANK U
Answer: a= 1
Step-by-step explanation:
a * b = b
Divide by “b” on both sides
a= b/b
“b/b” is equal to 1
a=1
Hope that helps
Lmk if you need a better explanation.
find the third proportional of 3 5 7
Answer: Third proportion is 21/5.
Step-by-step explanation:
Let the proportion be x
so,
3:5:x:7
so
3:5 = x:7
or, 3/5 = x/7
or, 21 = 5x
or, x = 21/5