Harry has 49.792 units.
Firstly we need to translate sentences into mathematical expressions and then we proceed to solve the resulting system of linear equations:
1) Carrie has 0.125 more than Larry:
[tex]y = x + 0.125[/tex] (1)
2) Larry has 0.75 more than Harry:
[tex]x = z + 0.75[/tex] (2)
3) In total, they have 151:
[tex]x + y + z = 151[/tex] (3)
Then, we proceed to solve the system of equations by direct substitution and clearing the remaining variable:
[tex]x + (x + 0.125) + (x-0.75) = 151[/tex]
[tex]3\cdot x -0.625 = 151[/tex]
[tex]3\cdot x = 151.625[/tex]
[tex]x = 50.542[/tex]
And the remaining solutions are, respectively:
[tex]y = 50.667[/tex], [tex]z = 49.792[/tex]
Harry has 49.792 units.
We kindly invite you to check this question related to systems of linear equations: https://brainly.com/question/16879892
(HELP!!!) Please Factor Completely:
9x^2y^2-27x^2y-72y^2+216y
Answer:
Can u space them out so i know which ones are exponents
Step-by-step explanation:
Solve a/-6 + 8 = 12. a =
Answer:
a = -24
Step-by-step explanation:
[tex]\frac{a}{-6}+8 = 12 \\\\\frac{a}{-6} = 12 - 8 \\\\\frac{a}{-6}= 4\\\\a = 4*(-6)\\\\a = -24[/tex]
Answer:
-24
Step-by-step explanation:
a/-6 + 8 = 12
a/-6 = 12 - 8
a/-6 = 4
cross multiply,
a = -6 × 4
a = -24
hope you understood
2. Now that you have the height of the cone, how can you solve for the
slant height, s?
Answer:
s^2 = r^2 + h^2.
Step-by-step explanation:
You need to know the radius of the base as well.
Then you use the Pythagoras theorem:
s^2 = r^2 + h^2 where r = radius and h = the height.
For f(x) = 8x + 8, find f(5).
Work Shown:
f(x) = 8x + 8
f(5) = 8*5 + 8
f(5) = 40 + 8
f(5) = 48
does anyone know the answer to this? will give brainliest
Answer: a
Step-by-step explanation:
Answer:
the answer is d. it is written in scientific notation.
Step-by-step explanation:
have a nice day!
bund to the nearest tenth
2. 84 is 60% of what number?
What is that answer
Answer:
140
Step-by-step explanation:
84/140 = 60/100
If the two congruent angles (angles A and B) of an isosceles
triangle are each twice the third, non-equal angle. (angle C)
find the measure of the non equal angle, angle C.
Answer:
If the third angle is x, the other two angles are 2x
The measure of the angles of a triangle must add up to 180 degrees
x + 2(2x) = 180
x + 4x = 180
5x = 180
x = 36
The other two angles are 2x = 2 * 36 = 72
The three angles are 36, 72, and 72 degrees
Step-by-step explanation:
EXAMPLE-
x+2x+2x=180
5x=180
x=180/5
x=36º third angle
the equal angles are each 2*36=72º
The required measure of three angles are 36, 72, and 72 degrees in the given triangle.
What is an Isosceles Triangle?An Isosceles Triangle is defined as a triangle with two sides of equal length is an isosceles triangle.
Given that the third angle is x, the other two angles are 2x
We know that the measure of the angles of a triangle must add up to 180 degrees.
As per the given question, the equation would be as:
x + 2(2x) = 180
x + 4x = 180
5x = 180
x = 36
So, the other two angles are 2x = 2 × 36 = 72
Therefore, the required measure of three angles are 36, 72, and 72 degrees in the given triangle.
Learn more about Isosceles Triangle here:
brainly.com/question/2456591
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One baseball team played 36 games throughout their entire season. If this baseball team won 18 of those games, then what percentage of their games did they win?
Mr. Rodriguez is packing bags of snacks for his children’s lunchboxes. If he has 20 blueberries and 30 grapes, what is the maximum number of bags of snacks that he can pack so that each bag has the same number of blueberries and grapes?
Answer:
: 0
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
I did the test
what is 5 to the power of 5 squared?
Answer:
2.9802322e+17
Step-by-step explanation:
Answer:
Uh, the number is 9,765,625.
Step-by-step explanation:
You basically told me to do 5 to the 5th power, which gets me 3,125. Then I had to square that again which led me to get that final answer (9,765,625).
Which shape does NOT have rotational symmetry?
A B C D
Determine if the two triangles are congruent. Help please
Answer:
ASA
Step-by-step explanation:
As we know that the Two corresponding angles are equal along with their Included Side (Side bounded by the angles) are equal as they share the common Included Side, through ASA criterion we can prove that the two angles are congruent.
4. Celia is making biscuits. Her recipe calls for 1/3 cup of flour, but
she only has a 1/2 cup measure. About how full should she fill the
measuring cup?
Answer:
I think it is 5/6
Step-by-step explanation:
She should do 5/6 of the way because 1/3x1/2=5/6
Answer:
16.5% full
Step-by-step explanation:
1/2 in decimal is 0.5
1/3 in decimal is 0.33
0.5x0.33=0.165
0.165 as a percentage is 16.5%
find the value of 10z when z =0.8
Answer:
So, your answer to 10z would be 8.
Step-by-step explanation:
All you need to do is plug in 0.8 for z. A cool trick when multiplying by ten is you can move the decimal point over 1 to the right. So, 0.8 would become 08.0, aka 8.
Hope this helps you
6 gallons to 42 gallons
Express each ratio as a fraction in the simplest form
9y2 and 9y
like terms or unlike terms
Answer:
unlike terms
Step-by-step explanation:
since the first 9y is squared they cannot be combined since the other isn't squared, they cannot be simplified, nor are they alike
Mark the additive inverse of each integer!
Answer:
12, -12
21, -21
-11, 11
17, -17
-21, 21
4.2 Weekend Earnings (Will get brainlyest ¡ please respond)
Jada has time on the weekends to earn some money. A local bookstore is looking for someone to help sort books and will pay $12.20 an hour. To get to and from the bookstore on a work day, however, Jada would have to spend $7.15 on bus fare.
Write an equation that represents Jada’s take-home earnings in dollars, if she works at the bookstore for hours in one day.
Answer:
Step-by-step explanation:
12.20h-7.15=E
A crew of highway workers paved 1/3 mile in 1/4 hour. If they work at the same rate, how much will they pave in one hour?
Answer:
1 and 1/3 of a mile
Step-by-step explanation:
PLEASE MARK BRAINLIEST
How much larger is 10 to the power of 7 than 10 to the power of 3 What operation can we use?
Answer:
10 to the power of 7 is 10000000 and 10 to the power of three is 1000 making ten to the power of seven 10000 times bigger
Step-by-step explanation:
Kristin has 4 more headbands than Nikki does. Together they have 30 headbands. The equation h + (h+ 4) = 30 can be used to
determine the number of headbands each girl has. What part of the equation represents the number of headbands Kristin has?
A:h
B:h+4
C:4
D:30
Answer:
A) H+4
Step-by-step explanation:
I do this in a different way, but i'll do it in both
Mine:
30 ÷ 2 = 15
4 ÷ 2 = 2
15+2, 15 -2
17, 13
Kristen Has 17
Yours:
h+(h+4)=30
-4 -4
h+h = 26
2h = 26,
h = 13, Back to the equation, use 13 as a sub. for all the h's
13+(13+4) = 30
13 + 17 = 30
Hope this helps!
Answer:
h + 4Step-by-step explanation:
The number of headbands Nikki has is represented by h, since it is an unknown value. To create a solvable equation, we can only have one variable. Since we know that Kristen has 4 more than Nikki has (4 more than h), we can represent this as h + 4, and solve for h. By doing this, we can then add to h to number 4 and determine how mnay headbands Kristen has.
I will give brainliest to person who answers correctly!
(5*10)-3 with the power of 2 equals what?
Answer:
41 is the answer .......
Seventeen out of 20 teens said they eat breakfast every morning. What is the reasonable prediction for the number of teens out of 1,280 who eat breakfast every morning?
A.
340
B.
940
C.
1088
D.
1260
Answer:
It would be 1,088/1,280
Step-by-step explanation:
The answer is 1,088
I need help, -3x+9+4x=10 just wondering if the answer is X=1
Answer:
it's correct good job :)
Answer:
Step-by-step explanation:
Answer: Fortunately, you don’t have to prove that x or y must be 1 or -1 in order for x*y to not be an element of G.
You only need to prove that x*y is an element of G for any x,y in G. (That’s what it means for * to be an operation on G.)
I haven’t thought yet about how to prove that, but let me give you some thoughts off the top of my head.
We know -1 < x, y < 1. We must show -1 < (x + y) / (xy + 1) and (x + y) / (xy + 1) < 1.
First, let’s show that -1 < (x + y) / (xy + 1).
I want to multiply xy + 1 to both sides, but we need to know whether it’s positive or not, so we know whether to reverse the inequality.
Well, -1 < x, y < 1 implies that xy > -1, which implies that xy +1 > 0.
So we must show that -(xy + 1) < x + y.
That is, let’s show that 0 < x + y + xy + 1. (I don’t know if this is going anywhere useful; I’m just playing around with algebra.)
Solve the system by elimination.
2x-5y=8
x-3y=-1
Answer:
hope this helps you dear
Find the measures of ∠B and ∠C given that m∠B=(2.5x+6)∘ and m∠C=(7x−12)∘.
The figure shows triangle A B C. Side A B is congruent to side A C.
answers are one of the following
∠B = 4° and ∠C = 4°
∠B = 16° and ∠C = 16°
∠B = 20° and ∠C = 20°
Answer:
since AB=AC it is an isosceles triangle so ...
Step-by-step explanation:
angle B = angle C
2.5x + 6 = 7x - 12
4.5x = 18
therefore x = 4
substituting the value of x we get answer
angle B = 16
angle C = 16
Charlotte is working two summer jobs, making $21 per hour tutoring and $14 per hour clearing tables. Last week Charlotte worked twice as many hours tutoring as she worked hours clearing tables hours and earned a total of $168. Graphically solve a system of equations in order to determine the number of hours Charlotte worked tutoring last week, x,x, and the number of hours Charlotte worked clearing tables last week, yy.
Answer: this is the answer please follow to the explanation
Step-by-step explanation:
21x + 14y = 168. X=2y
14y = -21x +168. 2y=x
14 divided by 14 on one side and
-21 + 168 divided by 14 on the other side
You should get...
Y= -3/2x +12
For part 2 where they want you to put the 2 numbers in, you should put the point they intercept which is (6,3).
Well, have a good day
Find the zeros for the given equation hurry!!!!
Answer:
x = 3 and -1
Step-by-step explanation:
5(x²-2x-3)
(x-3)(x+1)
Answer:
Zero's are: x= 3, -1
Step-by-step explanation:
With factoring, and determining the middle ground, finding the zeroes will come back to this result.
At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x-axis?
•-5
•-2
•2
•5
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
The graph below represents a linear function
Wich of the following best represents the slope of the line shown below ?
Answer:
3/2
Step-by-step explanation:
rise over run....basically the slope goes 3 units up and 2 units to the right, and the slope is positive, so 3/2