Answer:
Gusion = 2years
Lesley= 40years
Step-by-step explanation:
Let Guison age be x
Let Lesley age be y
If the sum of the ages of Gusion and Lesley is 42, then;
x+ y =42 ... 1
Four years ago
Guison age = x - 4
Lesley age = y - 4
If four years ago, Gusion was twice as old as Lesley, then;
x - 4 = 2(y-4)
x - 4 = 2y - 9
x - 2y = -9+4
x - 2y = -5 .... 2
Substract 1 from 2;
y + 2y = 1+5
3y = 6
y = 2
From 1;
x = 42 - y
x = 42-2
x = 40
Hence present age pf Guison is 2 years
Present age of Lesley is 40 years
Miguel has a ball of modeling clay that has a diameter of 3.5 centimeters. The cylindrical container it is placed in has a base area of 7.1 square centimeters and a height of 5 centimeters. What is the volume of empty space in the container?
Answer:
48.1 cubic meters or 48100000 cubic centimeters
Step-by-step explanation:
Firstly we need to find the radius.To find that we divide the diameter by two.3.5÷2=1.75
Volume of Cylinder=Pi×radius squared×height
Lastly 3.14×1.75×1.75×5=48.1
I hope this helps you in any way:)
What is the Angled measurement of ∠B
Answer: The measurement of angle B is 50 degrees
Step-by-step explanation: we know all triangles add up to 180 degrees so substitute 40 with a degrees and solve
Step-by-step explanation:
According to the Triangle Sum Theorem, all angles in triangle are sum of 180⁰. This means that m<a + m<b + m<c = 180⁰. You will first solve for a.
m<a + m<b + m<c = 180⁰
2a⁰ + a + 10⁰ + a⁰ = 180⁰ combine like terms.
2a⁰ + a + a⁰ + 10⁰ = 180⁰
4a⁰ + 10⁰ = 180⁰ subtract 10 from both sides.
4a⁰ + 10⁰ - 10⁰ = 180⁰ - 10⁰
4a⁰ = 170⁰ Divide 4 from both sides.
4a⁰ / 4 = 170⁰ / 4
a = 42.5⁰
Now that you found a, plug 42.5⁰ in place of in all angles and solve.
m<a :-
2a⁰
2(42.5)⁰
85⁰
m<b :-
a + 10⁰
42.5⁰ + 10⁰
52.5⁰
m<c :-
a⁰
42.5⁰
m<a = 85⁰
m<b = 52.5⁰
m<c = 42.5⁰
Remember that all angle must sum up to 180⁰ in a triangle. So we will now add all of our angle to find it if it equals 180⁰.
m<a + m<b + m<c = 180⁰
85⁰ + 52.5⁰ + 42.5⁰ = 180⁰
180⁰ = 180⁰
Thus, m<b = 52.5⁰.
Hope this helps, thank you :) !!
Solve the equation and enter the value of x below.
X +
+(-8) = 2
X =
Answer:
x = 10.
Step-by-step explanation:
x + (-8) = 2.
First, isolate x by adding 8 to both sides.
x = 8 + 2.
Next, solve.
x = 10.
Finally, you can come to the conclusion that x = 10. Always plug in your answer to make sure it works.
10 - 8 = 2.
2 = 2.
which expression is equivalent to the given expression?
Answer:
4ln x +ln 3-lnx
4ln x -ln x+ln3
3ln x+ln 3
ln(3x+3)is equivalent.
I just failed algebra for the third time someone help pls
Just tell me what to do
Answer:
study lol
Step-by-step explanation:
Find X
Please help asap!!
I really need help please
Answer:
b= 64 m
Step-by-step explanation:
[tex]b^{2}[/tex] + [tex]48^{2}[/tex] = [tex]80^{2}[/tex]
[tex]b^{2}[/tex] = [tex]80^{2}[/tex] - [tex]48^{2}[/tex]
[tex]b[/tex] = [tex]\sqrt{80^{2}-48^{2} }[/tex]
= [tex]64[/tex] m
Answer:
is it math
Step-by-step explanation:
omg I really really really hate math
Which values are solutions to the inequality below? Check all that apply.
x^2<8
A. -2
B. 3
C. 4
D. 2.
Which of the following best represents pi for the circle below?
Answer:
Pi ~ 3.14
That is probably the best measure.
Step-by-step explanation:
t/3 = 11 solve equation and check souloution what is t
Answer: t=33
Step-by-step explanation:
Answer:
t = 33
Step-by-step explanation:
t/3 = 11
t = 11 × 3
t = 33
This is my question, if you can solve this in under 2 minutes you are skilled!
Answer:
they both ate the same amount
Step-by-step explanation:
tito
1/4+3/8+1/2= 1 1/8
luis
5/8 + 1/2= 1 1/8
The dimensions of a smaller rectangle are 3 ft by 9 ft. The dimensions of a larger rectangle are sit by 11 ft. Find the ratio of the perimeter of the targer rectangle to the perimeter of the smaller rectangle.
Answer:
I think that the ratio would be 12:11
Step-by-step explanation:
Because if you multiply 3 and 9 then you do 12:11
May you please answer these four questions for me? This is all i ask of you
Answer:
1. 151.29 in.²
2. 413 km²
3. 75 cm²
Step-by-step explanation:
1. 12.3 in. × 12.3 in. = 151.29 in.²
2. 17.5 km × 23.6 km = 413 km²
The third is a parallelogram. To find the area of a parallelogram you multiply the base and height.
3. 15 cm × 5 cm = 75 cm²
For further calculation steps, look at these images:
These images are about multiplication and the decimal numbers in the problems have been converted to fractions.
prove the indicated operations.
(3-i)(4+3i)(5-2i)
Answer:
I hope if one of these help.
Step-by-step explanation:
(4 - 3i) + (2 + i )(5 - 2i)
=16 - 2i
If you simplify your answer will be: 16−2i
1) (3+2i)-(1-6i)
2) 4i+3-6+i-1
3) 5i(3-2i)
4) (5+3i)(2-3i)
5) (2+i)(2-i)
1) (3 + 2i) - (1 - 6i)
3 + 2i - 1 + 6i
2 + 8i
2) 4i + 3 - 6 + i - 1
5i - 3 - 1
5i - 4
3) 5i ( 3 - 2i )
15i - 10i^2
15i - 10 ( -1 )
15i + 10
4) ( 5 + 3i ) ( 2 - 3i )
10 - 15i + 6i - 9i^2
10 - 9i - 9i^2
10 - 9i - 9 ( -1 )
10 - 9i + 9
- 9i + 19
5) ( 2 + i ) ( 2 - i )
4 - 2i + 2i - i^2
4 - i^2
4 - (-1)
5
1) 2 + 8i
2) -4 + 5i
3) 10 + 15i
4) 19 - 9i
5) 5
The operations with imaginary numbers are equal to those of the real numbers considering i as a variable, but with a property that allows to simplify the expression more, that is that i squared equals -1. Taking this property into account, we solve the expressions like this:
1) (3 + 2i) - (1-6i) = 3 + 2i - 1 + 6i = 2 + 8i
2) 4i + 3-6 + i-1 = 5i - 4 = -4 + 5i
3) 5i (3-2i) = 5i*3 - 5i*2i = 15i - 10i^2 = 15i - 10(-1) = 15i + 10 = 10 + 15i
4) (5 + 3i) (2-3i) = 5*2 - 5 3i + 3i*2 - 3*3i^2 = 10 - 15i + 6i - 9i^2 = 10 - 9i - 9(-1) = 10 - 9i + 9 = 19 - 9i
5) (2 + i) (2-i) = 2*2 - 2*i + 2*i - i^2 = 4 - 2i + 2i - (-1) = 4 + 1 = 5
I hope one of these help:)
(awarding brainliest) i’m not that smart pls help.
What is the circumference of these circles using 3.14 or 22/7. (round to the nearest hundredth if necessary)
Answer:
4) (2)(4)(3.14) = 25.12 m
5) (12)(3.14) = 37.68 ft
6) (2)(2)(3.14) = 12.56 yd
a jogger runs 8 miles north and then 5 miles west what is the shortest distance to the nearest tenth of a mile he must travel to return to his starting point
Picking Green! This is a game similar to the one you played in class, where you try
to pick as many green chips as possible before picking one white chip. One bag
has the same number of green and white chips, and the ratio of green to white
chips in the second bag is unknown. Laura and Carly completed an experiment,
Answer:
the first is a 50% chance
the second is not possible to know
Step-by-step explanation:
What is the measure of angle H?
A. 80°
B. 75°
C. 110°
D. 95°
Answer:
A. 80
Step-by-step explanation:
T° = H°
if you rotated the first shape to match the second one, H° would fall on T°
Fifteen pencils are sold for $750. what is the cost for 1 pencil ?
a. 20
b.50
c.30
d.100
Answer:
b) 50
Step-by-step explanation:
750/15 = 50
write a sentence describing the meaning of the statement c(2)=40
Step-by-step explanation:
A number,c times two equal forty.
Answer:
The following statement means that the cost of 2 months' worth of gigabytes costs $40.
Step-by-step explanation:
Go shop Quelenasboutique on Esty!
A soup kitchen cooks up a total of 200 cups of soup. If their standard serving size is 2 1/2 cups, how many servings can they hand out, at most?
describe how we could create our own zero pair.
How much must be deposited into an account that pays 12.2% annual interest compounded quarterly to receive $13,422 after 5 years.
Answer:
$7,359.65
Step-by-step explanation:
The computation of the amount that to be deposited is shown below:
Here we have to calculate the present value
As we know that
Present value = future value ÷(1+ rate of interest)^years
where,
rate of interest = 12.2% ÷ 4 = 3.05%
And, the years is = 5 × 4 = 20
Now the present value is
= $13,422 ÷ (1+ 3.05%)^20
= $7,359.65
For their summer jobs, Amanda and Julie are babysitting. Amanda starts with $150 in her savings account and
earns $15 per week. Julie starts with $200 in her savings account, and earns $5 per week. Use the following
equations to determine the number of weeks they will have the same amount of money?
Amanda's Equation: y = 15x + 150
Julie's Equation: y = 5x + 200
#28
Easy question!!! Solve for x.
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
yes
the cost of buying shoes is shown in the table below
Answer:
Part AThe graph is attachedPart BFor zero number the cost is zero and the rate of change is 25.
0 - 0, 1 - 25, 2 - 50, 3 - 75, 4 - 100This is the indication of the proportional relationship
Part CIt is a constant change as the difference is same for each step - 25The ordered pair (1, 25) shows the unit rate is $25 per pair of shoesPart DConstant of proportionality is 25Part EThe equation is:
y = 25x,where y - cost, x - number of pairs of shoes, 25 - constant of proportionality
Fill in the blanks to the picture above
Okay, I and my mom do not know how to do this- please help-
Distribution Skill
3 (-5y²- 3)
Help p-p
Answer:
Step-by-step explanation:
this is the start of your mad algebra skilz.. it does take constant practice, like anything you want to get better at :) keep trying
this is called "Distribution" and is used often
3(-5[tex]y^{2}[/tex] -3)
-15[tex]y^{2}[/tex] +9
if you need more explanation just put your questions at the comments of this problem ... i'll see them :)
what is the slope of (1,3) and (1,0)
Answer:
-3
Step-by-step explanation:
you can tell that the awnser is negative because the coordinates of Y go down from 3 to 0.
a cylinder has a base diameter of 10 inches and a height of 19 inches. what is it's volume in cubic inches, to the nearest tenths place? show all work and explain please !
Answer:
1492.26in
Step-by-step explanation: