Answer:
28 and 12
Step-by-step explanation:
The sum of two numbers is 40 and the difference is 16. What are the number? x+y=40 Substitute for x from above. (y+16)+y=40 Subtract 16 from each side.
The two numbers whose sum is 40 and difference is 16 are 28 and 12.
Let's denote the two numbers as x and y. We are given the following information:
x + y = 40 (equation 1)
x - y = 16 (equation 2)
To solve for x and y, we can use a method called elimination or substitution. Let's use the elimination method here.
Adding equation 1 and equation 2, we eliminate the y term:
(x + y) + (x - y) = 40 + 16
2x = 56
x = 28
Now we can substitute the value of x back into equation 1 to solve for y:
28 + y = 40
y = 40 - 28
y = 12
Therefore, the two numbers are 28 and 12.
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What is the least common denominator of 4/8 and 2/3?
Answer:
24
Step-by-step explanation:
8 and 3 have no factors in common, so the least common denominator is their product.
8 * 3 = 24
Answer: 24
a new pair of shoes is advertised as 60% off whats the total cost after the discount
Answer:
Multiply the price by .4 to get the answer
Step-by-step explanation:
You dont have the original price posted.
) Dana's Cafe has regular coffee and decaffeinated coffee. This morning, the cafe served
22 coffees in all, 50% of which were regular. How many regular coffees did the cafe serve?
regular coffees
Submit
Answer:
The cafe sold 11 regular coffees.
Step-by-step explanation:
50% of the total 22 coffees is the same as saying half of 22. Divide 22 by 2 to get 11.
Answer:
Write the problem as a mathematical expression.
22/50%
Convert to a decimal.
0.0044
Which value is included in the solution set for the inequality graphed on the number line?
O -5
O -2
Oo
O3
Answer:
A. -5
Step-by-step explanation:
If -2 was included in the solution, there would be a close circle.
An Open circle means < or >
A Closed circle means ≤ or ≥
A student reads 46 pages in 20 minutes, what is his unit rate in pages per min?
Answer:
2.3 pages per minute
Step-by-step explanation:
Given m ll n,
find the value of x and y.
Can someone answer this today please
Answer:
x = 15, y = 50Step-by-step explanation:
m and n are parallel and cut by a transversal
Finding x
8x + 12 + 2x + 18 = 180 (consecutive interior angles sum up to 180°)10x + 30 = 18010x = 150x = 15Finding y
8x + 12 = 3y - 18 (vertical angles are equal)8(15) + 12 = 3y - 18132 = 3y - 18150 = 3yy = 50Make me laugh for 15 points. Use comments and answers
Answer:
umm...im not funny tho.......
Step-by-step explanation:
Turn these phrases into algebraic expressions. (PLEASE HELP)
5 more than 2 times a number:
7 less than 5 times a number:
5 times a number, decreased by 2:
2 diminished by 7 times a number:
2 increased by 5 times a number:
Answer:
2x + 5
5x - 7
5x - 2
2 - 7x
2 + 5x
Step-by-step explanation:
you can replace x with whatever variable you want :)
Solve for n:
n/3 + 10 = 16
Step-by-step explanation:
n/3+10=16
n/3=16-10
n/3=6
n=6/3
n=2
A plane leaves at 11:22 a.m. and arrives at 3:13 p.m. How long was the flight?
A. 3 hours and 51 minutes long
B. 3 hours and 35 minutes long
C. 14 hours and 35 minutes long
D. 4 hours and 35 minutes long
E. 8 hours and 9 minutes long
Answer:
A. 3 hours and 51 mins long
Step-by-step explanation:
22-13= 9 min difference
11-3=4 but since there is a 9 min difference it would be 9 mins away from 4 hours so that why is it 3 hours and 51 minutes long
hope this wasnt confusing
Mrs. Dalloway made 85 tarts. If she wants to fill 10 boxes with
the same number of tarts, how many more tarts should she
make?
Answer:
15
Step-by-step explanation:
85 total so far
she wants 10 full boxes with the same amount
85+15=100
Answer:
15
Step-by-step explanation:
A parallelogram has an area of 159.9 square kilometers and a base of 13 kilometers. What is the height?
Answer:
h= 12.3
Step-by-step explanation:
A boat is pulled into a dock by a rope with one end attached to the front of the boat and the other end passing through a ring attached to the dock at a point 5 feet higher than the front of the boat. The rope is being pulled through the ring at the rate of 0.6 ft/sec. How fast is the boat approaching the dock when 13 feet of rope are out
Answer:
The boat is approaching the dock at 0.65 ft/sec when 13 feet of rope are out.
Step-by-step explanation:
Let x be the length of rope and y be the distance between boat and dock.
Height of point where a ring attached =z=5 feet
[tex]\frac{dx}{dt}=-0.6ft/sec[/tex]
x=13 feet
Using Pythagoras theorem
[tex]H^2=P^2+B^2[/tex]
[tex]x^2=z^2+y^2[/tex]
[tex]x^2=5^2+y^2=25+y^2[/tex]
[tex](13)^2=25+y^2[/tex]
[tex]169-25=y^2[/tex]
[tex]144=y^2[/tex]
[tex]y=12 feet[/tex]
Differentiate w.r.t t
[tex]2x\frac{dx}{dt}=2y\frac{dy}{dt}[/tex]
[tex]x\frac{dx}{dt}=y\frac{dy}{dt}[/tex]
[tex]13(-0.6)=12\frac{dy}{dt}[/tex]
[tex]\frac{7.8}{12}=\frac{dy}{dt}[/tex]
[tex]\frac{dy}{dt}=-0.65feet/sec[/tex]
Hence,the boat is approaching the dock at 0.65 ft/sec when 13 feet of rope are out.
Please help!!!!!!!!!!!!!!
Answer:
53.1 degrees
Step-by-step explanation:
use sohcahtoa
sin(x) = 12/15
sin(x) = 0.8
sin-1(0.8) = 53.1301
PLS HELP THIS CONFUSES ME
Answer:
A. 17 sticks
B. 7 sticks
Step-by-step explanation:
Trust me i somehow figured it out in my head. But this is the answer to both questions. Hope this helps you :)
7. En una reunió de nois i noies el nombre de noies és 25 vegades més que el de nois. Si surten de la reunió 10 nois i 10 noies, queden el doble de noies que de nois. Quants nois i quantes noies hi havia inicialment a la reunió?
Answer:
F. O. L. L. A. R. F. U. C. K. P E Nе
To save costs dylan decides to decrese the size of the house she is building . Orginally the plans for the house show the dimensions of the house pad to be 20 ft by 30 ft . She reduces each dimension by 10 percent
Answer:
[tex]Length = 18[/tex]
[tex]Width = 27[/tex]
Step-by-step explanation:
Given
Dimension = 20 by 30
Reduction = 10%
Required
Determine the new dimensions
Because it is a reduction, the new dimension is calculated using:
[tex]New = Old (1 - Reduction)[/tex]
The new length is calculated as:
[tex]Length = 20(1 - 10\%)[/tex]
Convert percentage to decimal
[tex]Length = 20(1 - 0.10)[/tex]
[tex]Length = 20 * 0.90[/tex]
[tex]Length = 18[/tex]
The new width is calculated as:
[tex]Width = 30(1 - 10\%)[/tex]
Convert percentage to decimal
[tex]Width = 30(1 - 0.10)[/tex]
[tex]Width = 30*0.90[/tex]
[tex]Width = 27[/tex]
i need help with this
Answer:
Left space down: Right space down:
1 3
3 9
5 15
25 75
30 90
35 105
So far, Tim has read 70% of his book. The book has a total of 230 pages. How many pages does he have left to read?
Answer:
69 ;) no seriously tho it is lol
Step-by-step explanation:
70% of 230 is 161. 230 subtracted by 161 is 69.
Answer:
161 pages
Step-by-step explanation:
Calculate the percentage of a number. For example: 70% of 230 = 161. 230-161=69
A computer was on sale for 270 if the original price was cut by 40% what was the original price
explain.
Answer: 108
Step-by-step explanation: The 40% percent taken away from $270 would be $108, because I round it to 50% percent off and that would $135 but since it's 40% off not 50% so I took away 10% from $135, and that's how I found my answer .
is 60% of what number?
Answer:
5/4
Step-by-step explanation:
100/32 can someone help me how much would this be in fraction
what will be the sign of the product 'of we multiply 70 negative integer and 7 positive integer?
Answer:
Negative
Step-by-step explanation:
It would negative because 70 is a negative integer while 7 is positive and positive multiplied with negative is a negative
Answer:
The sign of the product is positive.
Step-by-step explanation:
Suppose, two negative integers are (-x) and (-y). Then their product will be xy which has a positive sign.
Again take two integers -x, -y and -z. Their product is -xyz.
It means, if positive number of negative integers are multiplied, the result is positive whereas the product of negative number of negative integers is negative.
The perimeter of a rectangle is 154 cm. The ratio of the length to the width is 10: 1. Find the length and the width
Answer:
length=70cm
width=7cm
Step-by-step explanation:
total ratio=10 + 1
=11
length(2)=10/11 x 154 cm
=10 x 14cm
=140cm
one length is 140 cm/2=70cm
width(2)=1/11 x 154cm
=14cm
one width is 14cm/2=7cm
The length and the width should be considered as the 70 cm and 7 cm.
Calculation of the length and width:Since
The perimeter of a rectangle is 154 cm.
The ratio of the length to the width is 10: 1.
So here total ratio=10 + 1
=11
Now length 2 should be
=10/11 x 154 cm
=10 x 14cm
=140cm
So,
one length is 140 cm/2=70cm
Now
width(2)=1/11 x 154cm
=14cm
And,
one width is 14cm/2=7cm
hence, The length and the width should be considered as the 70 cm and 7 cm.
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Simplyfiy3 3/4 x 1 1/5
Answer:
15/4 6/5
Step-by-step explanation:
there simplified
Harmony has 23 cups of pecans to make pecan pie. She needs 3 cups of pecans for each pie.
Which statement is true?
A
Harmony has enough pecans to make 7 pies and will have 2 cups of pecans left over.
B
Harmony has enough pecans to make 7 pies and will have 1 cup of pecans left over.
C
Harmony has enough pecans to make 6 pies and will have 1 cup of pecans left over.
D
Harmony has enough pecans to make 6 pies and will have 0 cups of pecans left over.
Answer:
The correct answer is A
Step-by-step explanation:
A is correct because you divide 23 and 3 to equal 7 then you do 7 times 3 to equal 21 cups meaning you have enough pecans to make 7 pies and 2 cups of pecans left over.
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quadratics by factoring Solve for x
x^2 – 12x+ 36 = 0
HELPS PLS
Answer:6
Step-by-step explanation:
factor the quadratic
(x-6)(x-6)=0
x=6
Step-by-step explanation:
I have explained everything in the picture, I hope you can see it and if any questions please do ask.
The five marathon runners weigh an average weight of 92 pounds, Nicole weighs 89 pounds, Jon weighs 95 pounds, Jenny and Kim weigh 90 pounds each, How much does Jordin weigh?
Answer:
Jordin weighs 96 pounds
Step-by-step explanation:
The Mean Value of a Data Set
The mean or average of a data set is found by adding all numbers and then dividing by the number of values in the set. Written as a formula:
[tex]\displaystyle \bar x=\frac{\sum x_i}{n}[/tex]
Where xi is the value of each data and n is the total number of values.
We are given the average weight of n=5 marathon runners:
[tex]\bar x=92[/tex]
Multiplying the formula by n and expanding the sum:
[tex]n\bar x=\sum x_i=x_1+x_2+x_3+x_4+x_5[/tex]
We are given the weighs of four of the runners:
[tex]5*92=89+95+90+90+x_5[/tex]
[tex]460=364+x_5[/tex]
Solving for x5:
[tex]x_5 = 460-364=96[/tex]
Jordin weighs 96 pounds
HIIII PLEASE HELPPP HELP HELPPPP!
Answer:
(7,18), (8,19), (9,20),(10,21)
Step-by-step explanation
notice that the pattern for the first row adds 1 and so does the second row, thus, Avery is 11 years older so add 11 to the first row of values can also help in solving the table
Factor -2x^3+8x^2-8x
Step-by-step explanation:
-2x³ + 8x² - 8x
= -2x(x² - 4x + 4)
= -2x(x - 2)².
