The difference between two numbers is 8. Twice the number is 4 more than the larger number. What is the smaller number?
Answer:
If the two numbers are x and y, then:
x + y = 8
18 - 2x = 4y - 2.
When we subtract y from both sides in our first equation we get:
x = 8 - y, so:
18 - 2(8 - y) = 4y - 2
18 - 16 + 2y = 4y - 2
2 + 2y = 4y - 2
2y = 4
y = 2
Since x + y = 8, and y = 2, x = 6, and since 6 > 2, the larger number is 6.
The two-way table shows the ages of the players on different sOCcer teams.
Team D
3
Total
21
23
14
58
Team C
Team A
4
Team B
8 Years Old
9 Years Old
10 Years Old
Total
4
3
13
3
5
16
4
15
14
Which statement is true?
O The probability that a randomly selected player on TeamA is 8 years old is
O The probability that a randomly selected 8-year-old player is on Team C is
O The probabilíty that a randomly selected player on Team C is 10 years old is
O The probability that a randomly selected 10-year-old player is on Team B is 13
58
A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric fence. With 1500 m of wire at your disposal, what is the largest area you can enclose, and what are its dimensions
Step-by-step explanation:
Let x be the length and y be the width of the rectangular plot.
The plot is bounded on one side by a river and on the other three sides by a single-strand electric fence. It means,
x+2y = 1500
x = 1500 - 2y ....(1)
We know that the area of a rectangular plot is given by :
A = xy ....(2)
Put the value of x from equation (1) in (2)
[tex]A=(1500-2y)y\\\\A=1500y-2y^2[/tex] .....(3)
For largest area, differentiate above area equation wrt y.
[tex]\dfrac{dA}{dy}=\dfrac{d}{dy}(1500y-2y^2)\\\\=1500-4y\\\\\text{Put}\ \dfrac{dA}{dy}=0\\\\1500-4y=0\\\\y=\dfrac{1500}{4}\\\\=375[/tex]
Put the value of y in equation (1).
x = 1500-2(375)
= 750 m
Put the value of y in equation (3).
[tex]A =1500(375)-2(375)^2\\A=281250\ m^2[/tex]
Hence, the largest area is 281250 m² and its dimensions are 750 m and 375 m.
plz help me out if you can
Answer:
D $26
Step-by-step explanation:
1/3(9x +45) - x = 6x +4
1/3(9x+45)-x=6x+4
we can move the numbers on the right and the x's on the left
9x/3+45/3-x=6x+4
3x-x-6x=4-15
-4x=-11
x=11/4
Answer:
x = 11/4
Step-by-step explanation:
thats the answer...........................
What is the value of x in the equation 2 (6 x + 4) minus 6 + 2 x = 3 (4 x + 3) + 1?
1
3
4
6
Answer:
x=4
Step-by-step explanation:
I did the edge quiz pretty sure I got it correct
Answer:
x=4
Step-by-step explanation:
Can someone please help me with this question I don’t understand it
Brand A: 32 Diapers, $8.99: about 28 cents per diaper
Brand B: 50 Diapers, $12.49: about 24 cents per diaper
You divide the amount of diapers by the money.
For example, 32 diapers/$8.99 equals about 28 cents per diaper and 50 diapers/$12.49 equals about 24 cents per diaper.
Brand B is the better deal since you save about 4 cents more.
(b) At Smith's Bike Rentals, it costs $26 to rent a bike for 6 hours.
How many hours of bike use does a customer get per dollar?
Perform the operation. (-9x^2-2x)-(-9x^2-3x)
Answer:
(-9x^2-2x)-(-9x^2-3x)
Step-by-step explanation:
-9x^2 + 9x^2 - 2x + 3x
= 0x^2 + 1x
= 1x
Mark me as brainliest
Hope this helps!!!
IS THIS CORRECT OR NAH
Answer:
yes
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
What is the rate of change (Slope) of the cost with respect to the number of miles for the Yellow Cab Company?
Answer:
The slope would be 2
Step-by-step explanation:
All you do is pick two order pairs: (2,6) and (4,10), then you do y1 - y2, so 10-6 to get 4 then do x1 - x2, so 4 - 2 which is 2, then you divide 4 by 2 to get 2.
What is 37% of 600?
ANSWER CORRECT
Answer:
the answer is 222
Answer:
222
Step-by-step explanation:
To solve the equation above for X, you first switch the sides to get the X on the left side, then you multiply each side by 600, and then finally divide the numerator by the denominator on the right side to get the answer. Here is the work to illustrate:
37/100 = X/600
X/600 = 37/100
X*600/600 = 37*600/100
X = 22200/100
X = 222
a painter painted 3/5 of a portrait in 20 minutes. If she continues working at the same rate, how many portraits will she paint in one hour?
Answer:
one and four fifths 1 4/5-
Step-by-step explanation:
evaluate - 31 - 8 + 31
Answer:
-8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
-31 - 8 + 31
Step 2: Evaluate
Subtract: -39 + 31Add: -8What is the following product ? Assume y >= 0 3sqrt(10) * (y ^ 2 * sqrt(4) + sqrt(8y))
Answer:a
Step-by-step explanation:
Answer:
A on Edgen
Step-by-step explanation:
Correct
Enter the simplified form of the complex fraction in the box.
Assume no denominator equals zero.
Answer: this is the answer
x^2+11x+6/(x+2)(x+5)
Step-by-step explanation:
Answer:
Here is the complete answer key with all correct and incorrect choices shown including this question. Good luck future users.
Boris bought 3 CDs that were each the same price. Including sales tax, he paid a total of $37.20. Each CD had a tax of $1.30. What was the price of each CD before tax?
Answer:
11.10
Step-by-step explanation:
37.20 - 3(1.30) = 33.3
33.3/3 = 11.1
PLZZZZ Hurry I’m in a rush
Answer:
y=10
Step-by-step explanation:
2y+3+9y-7+7y+4=180
18y=180
y=10
For each incorrect answer on a test, the teacher changes the total points possible by −4 points. The total number of points possible on a test is 64. If a student has 9 incorrect answers, what will be that student’s score?
Answer:
-4×9=-36
then 64-36=28
Jacob is 4 feet 5 inches tall. How tall is Jacob in inches?
O 48 inches
09 inches
020 inches
0 53 inches
Answer:
He is 53 inches in height
Step-by-step explanation:
4 × 12 inches = 48 + 5 = 53
HELP ME ON THIS. 10 POINTS
Answer:
This is sooo easy
Step-by-step explanation:
The answer is B
because It does not go through the Origin
every time they ask if something is proportional
ALWAYS check if its a straight line or if it go through the origin
hope I helped sorry If you get it wrong
The formula for temperature conversion is F=1.8C+32. If the Fahrenhei
temperature (F) is 86, What is the Celsius (C) temperature?
Answer:
30
Step-by-step explanation:
(86-32)/1.8 =30
In ΔHIJ, h = 40 cm, ∠J=20° and ∠H=93°. Find the length of j, to the nearest centimeter.
Given:
In ΔHIJ, h = 40 cm, ∠J=20° and ∠H=93°.
To find:
The length of j, to the nearest centimeter.
Solution:
According to Law of sine,
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
In ΔHIJ, using law of sine, we get
[tex]\dfrac{j}{\sin J}=\dfrac{h}{\sin H}[/tex]
[tex]\dfrac{j}{\sin (20^\circ)}=\dfrac{40}{\sin (93^\circ)}}[/tex]
[tex]j=\dfrac{40\times \sin (20^\circ)}{\sin (93^\circ)}}[/tex]
On further simplification, we get
[tex]j=\dfrac{40\times 0.34202}{0.99863}[/tex]
[tex]j=\dfrac{13.6808}{0.99863}[/tex]
[tex]j=13.69958[/tex]
Approximate the value to the nearest centimeter.
[tex]j\approx 14[/tex]
Therefore, the length of j is 14 cm.
what is two cubed and then divided by 4?
Answer:
2
Step-by-step explanation:
2 cubed is 8, then divided by 4 is 2
If a tree casts a 45-foot shadow at the same time that a 6-foot tall man casts a 7.5-foot shadow, find the height of the tree.
1 ft
36 ft
45 ft
56.25 ft
Answer:
36 feet
Step-by-step explanation:
I believe this is the answer
find the number of each kind of atom
2MgO
Order of Operations with and without variables
Answer:
9
Step-by-step explanation:
3 (2²) - 2(2) + 1 =
3 (4) - 4 + 1 =
12 - 4 + 1 =
8 + 1 = 9
Triangle DEFDEFD, E, F is similar to triangle PQRPQRP, Q, R. Solve for k.
Alaina is making a birdseed mix with 2 1/3 lb sunflower seeds, 5/6 lb cracked corn, and 1/6 lb peanuts. How much cracked corn does Alaina need to make 5 lb of birdseed mix? Show your work.
Answer:
2 1/3+5/6+1/6= 3 1/2
Step-by-step explanation:
Change your denominator to 6 and add then reduce if possible
4x2
4x + 10 and 2x2 + 5x – 8.
Answer:
14x , -4+5x
I hope this helps
have a fantastic day