Answer:
The numbers 'x' and 'y' are:
[tex]x=56,\:y=36[/tex]
Step-by-step explanation:
Let 'x' and 'y' be the two numbers
As the sum of the two numbers is 92.
so
[tex]x+y = 92[/tex]
Given that One-eighth of the larger number plus one-third of the smaller number is 19.
so
[tex]\frac{1}{8}x\:+\:\frac{1}{3}y=19[/tex]
now solving both equations to determine the numbers 'x' and 'y'.
[tex]\begin{bmatrix}\frac{1}{8}x+\frac{1}{3}y=19\\ x+y=92\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}\frac{1}{8}x+\frac{1}{3}y=19\mathrm{\:by\:}8\:\mathrm{:}\:\quad \:x+\frac{8}{3}y=152[/tex]
[tex]\begin{bmatrix}x+\frac{8}{3}y=152\\ x+y=92\end{bmatrix}[/tex]
[tex]x+y=92[/tex]
[tex]-[/tex]
[tex]\underline{x+\frac{8}{3}y=152}[/tex]
[tex]-\frac{5}{3}y=-60[/tex]
[tex]\begin{bmatrix}x+\frac{8}{3}y=152\\ -\frac{5}{3}y=-60\end{bmatrix}[/tex]
solve for y
[tex]-\frac{5}{3}y=-60[/tex]
[tex]-5y=-180[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-5[/tex]
[tex]\frac{-5y}{-5}=\frac{-180}{-5}[/tex]
[tex]y=36[/tex]
[tex]\mathrm{For\:}x+\frac{8}{3}y=152\mathrm{\:plug\:in\:}y=36[/tex]
[tex]x+\frac{8}{3}\cdot \:36=152[/tex]
[tex]x=56[/tex]
Thus, the numbers 'x' and 'y' are:
[tex]x=56,\:y=36[/tex]
In a board game, the player who makes the last move receives an 11-point bonus for ending the game. Let s represent the score before the endgame bonus and f represent the final score. Find the valué of f when s = 1
Answer:
12
Step-by-step explanation:
Given that :
Player who makes last move receives 11 - point bonus
Let s = score before end game bonus ; f = final score ;
Final score (f) when s = 1
Final score =) score before end game bonus) + 11 point bonus
Final score = 1 + 11 = 12
A linear function models the height of a burning candle. Candle A comes out of the mold at 211 mm, and is expected to be at 187 mm after 8 hours of burning. The model for Candle B is h=210−5t, where h is the height in millimeters and t is the time in hours. What are the initial values for each candle? What do the initial values for each candle tell you?
Given:
Candle A comes out of the mold at 211 mm, and is expected to be at 187 mm after 8 hours of burning.
The model for Candle B is
[tex]h=210-5t[/tex]
where, h is the height in millimeters and t is the time in hours.
To find:
The initial values for each candle and its interpretation.
Solution:
Candle A comes out of the mold at 211 mm, and is expected to be at 187 mm after 8 hours of burning.
So, initial value of candle A = 211 mm
The model for Candle B is
[tex]h=210-5t[/tex]
Putting t=0, we get
[tex]h=210-5(0)[/tex]
[tex]h=210-0[/tex]
[tex]h=210[/tex]
So, initial value of candle B = 210 mm
Initial values for each candle tell you about the height of the candles before they start burning.
Initial value of candle A is greater than B, so the height of candle A is greater than B before they start burning.
Therefore, the initial value of candle A is 211 mm and initial value of candle B is 210 mm.
For the high school's production of "Grease," 315 tickets were sold. The cost of a student ticket, s, was $5; the cost of all other tickets, t, was $8. The total income from ticket sales equaled $2211. The system of equations below can be used to determine the number of each type of ticket sold. s+t=315 55 + 8 = 2211 How many student tickets were sold?
Answer:
103 students tickets were sold
Step-by-step explanation:
103 times $5 = $515
212 times $8 = $1696
$515 + $1696 = $2211
-8+-8(6n)+-8(1)
(Please help I need to get an 100% on the assignment I’m doing)
[tex] = - 8 + (- 8(6n)) (- 8(1)) \\ = - 8 - 48n - 8 \\ = - 16 - 48n[/tex]
If 4m + 1 = 7 then 4m = 6
1) Symmetric Property 2) Subtraction Property of Equality
3) Substitution Property 4) Transitive Property
Answer:
2) Subtraction Property of Equality Properties
General Formulas and Concepts:
Pre-Algebra
Addition Property of Equality - Adding on both sidesSubtraction Property of Equality - Subtracting on both sidesMultiplication Property of Equality - Multiplying on both sidesDivision Property of Equality - Dividing on both sidesTransitive Property - If a = b and b = c, then a = cSymmetric Property - If a = b then b = aStep-by-step explanation:
Step 1: Define
4m + 1 = 7 → 4m = 6
Step 2: Identify
We see that we subtracted on on both sides of the equation. Therefore, we would have to use the Subtraction Property of Equality. Therefore, 2 is our answer.
sanders found 6/7 of a pie in the fridge. he eats 1/3 and gives 1/2 to sister. How much is left
Answer:
1/42
Step-by-step explanation:
consumed
1/2+1/3= 5/6
left
total- consumed
6/7-5/6= 1/42
Please help. If this isn't done by today i'm grounded :(
A _____ magnet can be made by rubbing a permanent magnet the same way
along an item. The alignment of atoms does not last long.
permanent
temporary
atomic
polar
Answer:
permeant
Step-by-step explanation:
Stroking with one pole of a permanent magnet works because it aligns the atoms in the nail to line up in the same polar direction, giving the nail a north and a south magnetic pole.
A supermarket had bags of red grapes for $13.00 for 5 bags. They also had bags of green grapes priced at $5.08 for 2
bags. Which type of grape is most expensive?
A They are both the same price
B Green grapes
Red grapes
Answer:
They were both the same price
Step-by-step explanation:
$13.00 divided by 5 is 2.6
$5.08 divided by 2 equals 2.54 and if you round, it equals 2.6
Which expression can be used to determine 50% of 42? 42 minus 2 42 divided by 2 42 divided by 10 42 minus 10
Answer:
We know that 50% of 42 will be = 21
i.e. 50% of 42 = 50/100 = 21The correct answer should be: 42 divided by 2
Step-by-step explanation:
We know that 50% of 42 will be = 21
i.e. 50% of 42 = 50/100 = 21Also, when we divide 42 by 2, we get the answer 21.
i.e. 42/2 = 21Therefore, the correct answer should be: 42 divided by 2
Answer:The Answer is b
Step-by-step explanation: i did this the other guy can get brainlyest.
Have a nice day! :D
30 greater than 1/2ₓ
Answer: True.
Step-by-step explanation:
Will give brainliest!
Answer:
Answer is C multiply 5 by every ticket
Step-by-step explanation:
What inequality sign would be used for the words, "no fewer than?"
The movie theater sold 538tickets on Friday. On Saturday 907 tickets were sold how many more tickets were sold on Saturday
Answer:
369 more tickets
Step-by-step explanation:
907-538=369
I need help. If you can, thank you.
Answer:
Y = 2x + 1
Step-by-step explanation:
Hope this helps. Pls give brainliest.
The measures of two supplementary angles are ( 2x-11 )° and ( 3x+1 )°. Find the value of x.
be courteous to all but intimate with a few and let those few be well tried before u give them your confidence what does this mean
Answer:
You get out what you put in, like everything else in life. There are many levels of relationships and degrees of connection. We all respond and are available to different dynamics.
Step-by-step explanation:
ANSWER THIS IS FOR EXTRA CREDIT
Answer:
The answer is c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
If y by itself what does that means?
[tex]here \: y \: by \: itself \: means \\ \: y \: stands \: alone \: with \: \\ nothing \: nearby \: it .\\ \\ hope \: it \: helps..[/tex]
Keith spent half of his allowance going to the movies. He washed the family
car and earned 7 dollars. What is his weekly allowance if he ended with
14 dollars ?
Answer:
28
Step-by-step explanation:
because he spent half of 28 which is 14 and 7x4=28 BOOM
The number of boys is 3/5 of the number of girls. If there are 120 children all together, how many boys are there? PLEASE HELP ME!!!!!!!!
Answer:
72 boys
Step-by-step explanation:
120 * .60. That's how you solve it! Hope it helps!
Further explanation:
To get .60, you divide 3 by 5 which is .60
Then you multiply 120 times .60 and you'll get 72 which is 72 boys
Bonus: 120 - 72 = 48 girls!
Answer:
There are 45 boys.
Step-by-step explanation:
The best way to easily solvethis is by making equations, see below.
[tex]let \: b \: represent \: number \: of \: boys \\ let \: g \: represent \: number \: of \: girls[/tex]
[tex]b + g = 120 \\ b = \frac{3}{5} g[/tex]
Now we can subtract the secons equation from the first.
[tex]g = 120 - \frac{3}{5} g[/tex]
I'm also goong to multiply the equatipn by 5 to remove the fraction.
[tex]5g = - 3g + 600[/tex]
Now simplify
[tex]8g = 600 \\ g = 75[/tex]
Now we found out there are 75 girls. Now we insert this into our second equation to find how many boys there are.
[tex]b + 75 = 120 \\ b = 45[/tex]
Now we know there are 45 boys.
What is the slope of the line shown in the graph below?
Answer:
-2/3
Step-by-step explanation:
Since slope is just rise over run, find the y intercept and see how far it is from the x axis. If it goes down and is above \the x axis, then it is negative and if it is under the x axis, then it is positive. Then count how far the x intercept is. Same concept as the y intercept. Then, you put it as a fraction (y goes on top of x) and simplify to get your slope.
Identify the points after a 90 degrees clockwise rotation: A (5, -9) B (3, 1) C(-10, -10)
A (-5, -9)
B (3, -1)
C (10, 10)
find m⦣1 in parallelogram ABCD.
Answer:
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Step-by-step explanation:
Thats the alphabet so the P is the 16th letter so it's 16 thx pls do brainliest thanks so much
what is 2 + (-7/20)? I've been trying to figure it out for a while but i cant seem to get the right answer.
Find the slope of the line through each pair of points.
6. *
(4, 10), (0, 3)
Answer:
Slope: 1.75
Step-by-step explanation:
Slope = (3-10) / (0-4)
= -7 / -4
= 1.75
A line drawn from one side of a circular plate to the other, through the center of the plate, measures 25 centimeters.
What is the approximate area of the plate to the nearest square centimeter?
39 centimeters²
79 centimeters²
156 centimeters²
491 centimeters²
Answer:
39 centimeters
Step-by-step explanation:
to find the area of a circle you first find the radius which is the disctance from the edge of the plate to the center. you then multiply it by pi to find the total area.
The required area of the given plate with a diameter of 25 centimeters is 491 centimeters². Option B is correct.
What is an area circle?The area of the circle is given by the pie times square of the radius.
Area of circle = πr^2
here,
A line drawn from one side of a circular plate to the other, through the center of the plate, measures 25 centimeters.
So, the Diameter of the plate = 25 centimeters,
The area of the plate is given as,
Area of plate = π × [diameter/2]²
= 3.14 × [25/2]
= 491 centimeters²
Thus, the required area of the given plate is 491 centimeters². Option B is correct.
Learn more about circle here:
brainly.com/question/11833983
#SPJ2
Sales tax in your community is 6 percent. If you go to a sporting goods store and buy a soccer ball for $19.95, socks for $5.95, and a headband for $10.00, what amount will you pay once the sales tax is added to your purchase?
Answer:
$26.90 + $1.61 = $28.51
PLS HELP ASAP PLSSS IT DETECTS IF ITS RIGHT OR WRONG HELPPP
Answer:
B - 500 + 10x = 700
Step-by-step explanation:
It’s not C because there’s nothing to subtract, he’s just gaining. It’s not A because he gains 10 every month, so the x would have to be on the 10, which means it’s B.
Answer:
B-500+10x=700
Step-by-step explanation:
A migrating bird flies 42 miles in 3 hours. How many miles does it fly in 5 hours?
Answer:
70 miles.
Step-by-step explanation:
In this question we are given the speed of the migrating bird. If we remember the definition of speed we will remember that speed is distance the object/body traveled, divided by the time it took the object/body to travel this distance.
Solution:
Firstly we need to find out what distance will the bird travel in 1 hour. We can easily do that science we know the distance it travels in 3 hours. So we just use the property of a fraction that states that if we multiply or divide the denominator and the numerator by the same number we will get a fraction of the same value but written a bit differently. So we divide the numerator and the denominator by 3 and get
[tex]\frac{42 miles}{3 hours}[/tex] = [tex]\frac{14 miles}{1hour}[/tex]
Now we know what distance the bird travels in one hour so we can easily figure how much the bird will travel in 5 hours by multiplying the numerator and the denominator by 5. So we do...
[tex]\frac{14 miles}{1 hour}[/tex] = [tex]\frac{70 miles}{5 hours}[/tex]
And we get that the bird will travel 70 miles in 5 hours.
A clothing store used the sign shown below to advertise a discount on shirts,
DISCOUNT
Buy Two Shirts
Get 50% Off Third Shirt
Celia wants to buy three shirts, which were originally priced $56 each. The store will
discount the price of the third shirt and then apply a 7% tax to the total cost of all
three shirts. Including the tax, what will be the mean cost of each shirt? (Round your
answer to the nearest cent).
Including the tax, the mean cost of each shirt is $
Answer:
$49.93Step-by-step explanation:
Original cost = $56
Cost of 3 shirts:
3*$56 = $168Cost of 3 shirts with discount:
168 - 1/2*56 = 168 - 28 = $140Add tax:
$140*1.07 = $149.8Mean cost of each shirt:
$149.8/3 = $49.93