[tex]\huge\mathtt\purple{Answer :- }[/tex]
Given :- Sum of the two numbers = 56Difference between the two numbers = 10To Find :- Two numbers Solution :-Let the two numbers be 'm' and 'n'
Now we can get,
1) m + n = 56
2) m - n = 10
1) First we will solve the first equation,m + n = 56
n = 56 - m
2) Now, solve the second equation,m - n = 10
By substituting n = 56 - m we get,
m - (56 - m) = 10
56 - m - m = 10
56 - 2m = 10
-2m = 10 - 56
-2m = -46
m = - 46/-2
m = 23Now, we will find 'n' by the equation 1 ,
n = 56 - m
n = 56 - 23
n = 33Hence, The two numbers are (A) 23 and 33 Let's verify :-33 + 23 = 56
33 - 23 = 10
Hence, verified
x + x + y x y
i will give brainilist to the person who is correct
x+x+x+y x y= 2x+y^2
x + x = 2x
y * y = y^2
Answer= 2x + y^2.
-1/2x+3y=-3 in slope intercept form
Answer:
Step-by-step explanation:
Y = mx + b
-1/2 x + 3y = -3
3y = 1/2 x -3
y = 1/6 x - 1
Where slope m = 1/ 6and y intercept b = -1
What is 85% of 30?
It seems to not be working for me
Answer:
25.5
Step-by-step explanation:
Put the digits in your calculator 30×85% and you will get 25.5
PLEAS HELP FAST !!
solve the equation below. please include the steps.
x^2+8x+15=0
Answer:
[tex]x_{1} =-5\\and \\x_{2} =-3[/tex]
Step-by-step explanation:
Solve by using factoring ------->
rewrite the expresion
x^2+8x+15=0
x^2+5x+3x+15=0
factor out x from the expression
x^2+5x+3x+15=0
xx(x+5)+3x+15=0
xx(x+5)+3(x+5)=0
factor out x+5 from expression
(x+5)x(x+3)=0
when the product of factors equals 0, at least one factor is 0
x+5=0
x+3=0
solve the equation for x
x = -5
x = -3
the equation has 2 solutions
[tex]x_{1} =-5, x_{2} =-3[/tex]
Step-by-step Explanation:Quadratic formula
[tex]x=\frac{-8+\sqrt{8^{2} -4x1x15} }{2x1}[/tex]
any expression multiplied by 1 remains the same
[tex]x=\frac{-8+\sqrt{8^{2}-4x15 } }{2}[/tex]
evaluate the power
[tex]x=\frac{-8+\sqrt{64-4x15} }{2}[/tex]
multiply the numbers
[tex]x=\frac{-8+\sqrt{64-60} }{2}[/tex]
subtract the numbers
[tex]x=\frac{8+\sqrt{4} }{2}[/tex]
calculate the square root
[tex]x=\frac{-8+2}{2}[/tex]
write solution with a + sign and a - sign
[tex]x=\frac{-8+2}{2} \\x=\frac{-8-2}{2}[/tex]
calculate the value
[tex]x=-3\\x=-5[/tex]
the equation has 2 solutions
[tex]x=-3\\x=-5 \\and\\x_{1} =-5\\x_{2} =-3[/tex]
A limnologist takes samples from a creek on several days
and counts the numbers of flatworms in each sample,
The limnologist wants to look at the relationship between
the temperature of the creek and the number of
flatworms in the sample. The data show a linear pattern
with the summary statistics shown below:
mean
standard
deviation
= 10.2
Sx = 2.8
x = creek temperature
(C)
j = 37.6
$y = 30.8
y = number of
flatworms
• = -0.98
Find the equation of the least-squares regression line
for predicting the number of flatworms from the
creek temperature.
Round your entries to the nearest hundredth.
Answer:
y = 147.56 - 10.78x
Step-by-step explanation:
Given :
x = 10.2 ; y = 37.6 ; Sx = 2.8 ; Sy = 30.8 ; r = - 0.98
The regression equation :
y = mx + c
Where ;
m = slope ; c = intercept
Slope = r * (Sy/Sx)
Slope = - 0.98 * (30.8 / 2.8)
Slope = - 0.98 * 11 = - 10.78
To obtain c :
y = mx + c
y - mx = c
37.6 - (-10.78)(10.2) = c
37.6 + 109.956 = c
147.556 = c
Hence, equation becomes :
y = 147.556 - 10.78x
y = 147.56 - 10.78x
Answer:
y = 147.56 + -10.78x
Step-by-step explanation:
alyssa is ordering t_shirts for all the students in her school.she knows how many students are in the school, and she knows how many shirts come in a box how would she figure out how many boxes to order?
Answer:
She needs to divide the number of students by the number of shirts that come in each box and then round to the ones place
Enterprise rents small vans to the Salvation Army to help deliver hot meals to senior citizens. Each van can only carry 1,200 pounds (lbs) of people and gear for safety reasons. The vans transport a number of volunteers to a central location to start deliveries from. Each person will deliver a single meal per trip. Assume the average weight of a person is 150 pounds. Each van will require 200 pounds of gear to keep the meal hot during transport, plus 10 pounds for each meal that will be delivered.
a) Create an inequality describing the restrictions on the number of people possible in a van. Graph the solution set.
b) A group of five volunteers wish to rent a van. What is the maximum average weight that the five volunteers can weigh and still be able to rent a van? Justify your answers.
Answer:
inverseoperations
Step-by-step explanation:
An inequality is used to represent unequal expressions or numbers. The inequality describing the restrictions on the number of people possible in a van is [tex]160n + 200 \le 1200[/tex].
Given that:
[tex]Total = 1200[/tex] --- total pounds the van can contain
[tex]Weight = 150[/tex] --- average weight of each person
[tex]Gear = 200[/tex] -- weight of the gear in a van
[tex]Meal =10[/tex] -- weight of each meal
Assume there are n people.
The total weight (T) of the n people is:
[tex]T = Weight \times n[/tex]
Substitute [tex]Weight = 150[/tex]
[tex]T = 150 \times n[/tex]
[tex]T = 150n[/tex]
The total weight (M) of the meals is:
[tex]M= Meal \times n[/tex]
Substitute [tex]Meal =10[/tex]
[tex]M= 10\times n[/tex]
[tex]M= 10n[/tex]
Because the van cannot contain more than 1200 pounds, we use less than or equal to as the inequality.
So, the inequality is:
[tex]T + M + Gear \le 1200[/tex]
[tex]150n + 10n + 200 \le 1200[/tex]
[tex]160n + 200 \le 1200[/tex]
Hence, the inequality is: [tex]160n + 200 \le 1200[/tex]
The solution to the inequality is as follows:
[tex]160n + 200 \le 1200[/tex]
Collect like terms
[tex]160n \le 1200-200[/tex]
[tex]160n \le 1000[/tex]
Divide both sides by 160
[tex]n \le 6.25[/tex]
Remove the decimal part (do not approximate)
[tex]n \le 6[/tex]
Hence, the vehicle cannot contain more than 6 people.
See attachment for graph
Read more about inequalities at:
brainly.com/question/24457639
Select the correct answer from the drop-down menu.
Find the missing term.
Replace the question mark (?) with
to make the equation true.
Answer:
Step-by-step explanation:
Cooper bought 5 pounds of soil to
use in 8 small flower pots. He used
the same amount of soil in cach
flower pot. If Cooper used all of the
soil, how many ounces of soil did he
put in each flower pot?
Answer:
10 ounces
Step-by-step explanation:
5 pounds equals 80 ounces, so 80 divided by 8 is 10
What does 6 times 6 times 48 times 90 equal
Answer:
155,520
Step-by-step explanation:
Terrence drinks water every 2 hours. He drinks about 6 gallons of water per day. How much water does Terrence drink in a week?
Answer:
42 gallons
Step-by-step explanation:
Answer: 42
Step-by-step explanation:
help me pls im stuck
Answer:
C.
Step-by-step explanation:
Hi there!
We know that [tex]x^0[/tex] is equal to 1 because any number raised to the zero is always going to be 1.
With that out of the way, we are left with [tex]x^-^3/1[/tex], which is equivalent to [tex]x^-^3[/tex]
Using negative exponent rules,
The expression is flipped and the -3 becomes a positive 3.
It will look like this
[tex]\frac{1}{x^3}[/tex]
Your answer is C.
I hope this helps!
Can someone help me PLEAS
Answer:
D
Step-by-step explanation:
An irrational number is a number that cannot be expressed as a fraction for any integers and. . Irrational numbers have decimal expansions that neither terminate nor become periodic
50 - [ 7 + ( 3^(2) / 2 ) ]
Step by step please
Answer:
evaluation : 38.5 38.5 is the answer because you simplify this term
Step-by-step explanation:
8x - 1 1/7 (1 1/3x - 12) Help pls.
Answer:
= 47/21x + 132/7
hope this helps!
Step-by-step explanation:
helppppppppppppppppppppppppp
answer is 150
pls give branliest
Answer: 72
Step-by-step explanation: A = ½(b 1 +b 2)h
if 2 sides of a triangle measure 6 and 16 find the range for the 3rd side
Step-by-step explanation:
Range if third side is in between 10-22
Reason:
For the lowest value of third side 16-6= 10
For the highest value if third side 16+6= 22
⚡⚡⚡⚡⚡⚡⚡⚡⚡⚡⚡⚡⚡⚡⚡
Answer:
10
Step-by-step explanation:
big brain B)
Castor bought 3 spells for $9 how many spells can you buy for $12.00
Answer:
4
Step-by-step explanation:
divide 9 by 3 the answer is 3 then divide 12 by 3 then the answer is 4
Answer:
4 spells can be bought with $12.00
Step-by-step explanation:
3 times 3 is 9 = 3 spells for nine dollars
3 times 4 is 12 = 4 spells for 12 dollars
Each spell costs $3.00
Gertrude started an experiment with 15 gummy bears. After 6 days, there were 1,523 gummy bears. Write an exponential function that could be used to model the number of gummy bears after x days if the number of gummy bears changes at the same rate. Round to the 4th decimal place (ten thousandth)
y=a*b^x
a=
b=
9514 1404 393
Answer:
y = 15·2.1599^x
Step-by-step explanation:
We know that the number changed by the ratio 1523/15 = 101.5333... in 6 days, so the daily multiplier is the 6th root of this:
b = 101.5333...^(1/6) = 2.1599 . . . rounded to 4 dp
Of course, the coefficient 'a' in the equation is the initial number, 15.
Your exponential equation is ...
y = 15·2.1599^x
a = 15
b = 2.1599
Solve forx: 10 (2x - 4) + 5 = 2r - 8 1 ОА. x =- 19 10 O B. x= =- 1 С O c. x = 1 O D. x = =
Answer:
Option D
Step-by-step explanation:
Given expression is,
10(2x - 4) + 5 = 2x - 8
By using distributive rule,
20x - 40 + 5 = 2x - 8
20x - 35 = 2x - 8
Now we subtract 2x from both the sides of the equation
20x - 35 - 2x = 2x - 8 - 2x
18x - 35 = -8
By adding 35 on both the sides of the equation
18x - 35 + 35 = - 8 + 35
18x = 27
By diving with 18 from both the sides of the equation
[tex]\frac{18x}{18}=\frac{27}{18}[/tex]
x = [tex]\frac{3}{2}[/tex]
Therefore, Option D will be the correct option.
5-10.
A fish tank that holds 80 gallons of water is 55% full. Homework Help
a. Create a drawing like Louis's in problem 5-4 to represent this situation.
b. How many gallons are in the tank now? How many more gallons are needed to fill the tank?
Write the equation for the line that goes through the point (5, 12) with a slope m = 10
Three families bought food at a baseball game. The Castillo family
spent $27.50 on 2 burgers, 3 fries, and 4 drinks. The Peterson family
spend $26.50 on 3 burgers, 2 fries, and 3 drinks. The Barbour family
spent $27 on 2 burgers, 4 fries, and 2 drinks. What system of
equations could be used?
Answer:
1.50
Step-by-step explanation:
Find the sum of 4(m+2)+3(6m−4)
The golf course fills large cylinder-shaped containers with drinking water and
places them along the course. The containers are 27 inches tall and have a
diameter of 14 inches. A gallon is 231 cubic inches.
14 inches
27 inches
Which of the following best represents the volume of the water container in
gallons?
Answer:
37
\
Step-by-step explanation:
Points F (0,0), G (9,0) and H (9,12) of vertical triangle
What is the distance between f to h
Answer:
15 is the distance
Step-by-step explanation:
Simplify the expression: 4(2x - 4)
Answer: 8x-16
Step-by-step explanation:
Answer: 8x-16
Step-by-step explanation:
There are 5 slides, i've provided image for them all i need help with it. if your going to answer write it in order from slide 1-5 so it's easier to understand.
Answer:
mark as brainleast and fo-ll-ow me
Slide 1.
Part A.
1. Band A: y = 600
2. Band B: y = 1.25x + 350
Part B.
200 students.
Slide 2.
Part A.
Fixed cost = $150
Rate per student served = $6
Part B.
To figure the cost/person, look at the change in cost divided by the change in attendance.
For 100 students, cost = $750.
For 150 students, cost = $1050.
Change in cost = $300
Change in students = 50
Cost per additional student = 300/50 = $6
Assuming the costs are linear, then the price charged for 100 students reflects the cost per student + a 'fixed cost' that applies to the order as a whole.
100 * 6 = $600, so the fixed cost is 750-600 = 150.
We can check this notion by substituting in the other equation.
Does 150*6 + 150 = 1050? Yes.
150*6=900
900+150 = 1050.
Slide 3.
Part A.
She can choose either band, with $9.75 per ticket, if 200 students attend
Part B.
Check the cost using band A and 200 people, including food
600 + 150 + (6*200) =
600 + 150 + 1200 = $1950
Cost per ticket: = 1950/200 = $9.75
Cost using band B, 200 people, including food:
350 + 1.25(200) + 150 + (6*200) =
350 + 250 + 150 + 1200 = $1950
Cost per ticket: 1950/200 = $9.75
This means that Paula can choose either band, and the ticket cost will be the same.
Slide 4.
Part A.
Cost per ticket: $8.50 (of Band A, since it is the cheaper one)
Part B.
Check the cost using band A and 300 people, including food
600 + 150 + (6*300) =
600 + 150 + 1800 = $2250
Cost per ticket: = 2250/300 = $8.50
Cost using band B, 200 people, including food:
350 + 1.25(300) + 150 + (6*300) =
350 + 375 + 150 + 1800 = $2675
Cost per ticket: 2675/300 ≈$8.92
Which means that in this scenario is Band A is less expensive.
whats 1+1???/ HELLPPP PLEASE HELPPP
Answer:
it 11 IT NOT 22 NOR 2 okay 11
Step-by-step explanation:
what is the long division work of the problem of 337 divided by 2.
Step-by-step explanation:
168 <-- quotient --- 337 2 - 13 12 -- 17 16 -- 1 <-- remainder
Answer:
168.5
Step-by-step explanation:
₁ ₁ ₁
2 ) 3 3 7. 0
1 6 8.5 <--- Quoitient
first part is 2 divide once into 3 with remainder 1
- and this 1 goes in front of the 3 to give 13.
2 into 13 goes 6 times with remainder 1
- then we get 2 into 17 giving 8 remainder 1 and so on....
