Answer:
8
Step-by-step explanation:
41-4t
Hope this helps ^^
Ethan and Alex ordered 1,263 pizzas for the school. They wanted to share them equally with each class.If there are 34 classes, how many pizzas will each class get?
If x = 1 and y = 2 is a solution to the simultaneous equation ax + by = 2 and bx + a^(2)y = 10, find the possible values of a and b.
Answer:
a = - 2, [tex]\frac{9}{4}[/tex] , b = 2, - [tex]\frac{1}{8}[/tex]
Step-by-step explanation:
Since x = 1, y = 2 is a solution to the equations , then substitute these values into the 2 equations and solve for a and b
a + 2b = 2 → (1)
b + 2a² = 10 → (2)
In (1) subtract 2b from both sides
a = 2 - 2b → (3)
Substitute a = 2 - 2b into (2)
b + 2(2 - 2b)² = 10 ← expand parenthesis using FOIL
b + 2(4 - 8b + 4b²) = 10 ( simplify left side )
b + 8 - 16b + 8b² = 10 ( subtract 10 from both sides )
8b² - 15b - 2 = 0
Consider the factors of the product of the coefficient of the b² term and the constant term which sum to give the coefficient of the b- term
product = 8 × - 2 = - 16 and sum = - 15
The factors are - 16 and + 1
Use these factors to split the b- term
8b² - 16b + b - 2 = 0 ( factor first/second and third/fourth terms )
8b(b - 2) + 1(b - 2) = 0 ← factor out (b - 2) from each term
(b - 2)(8b + 1) = 0
Equate each factor to zero and solve for b
b - 2 = 0 ⇒ b = 2
8b + 1 = 0 ⇒ 8b = - 1 ⇒ b = - [tex]\frac{1}{8}[/tex]
Substitute these values into (3) and evaluate for a
b = 2 ⇒ a = 2 - 2(2) = 2 - 4 = - 2
b = - [tex]\frac{1}{8}[/tex] ⇒ a = 2 - 2(- [tex]\frac{1}{8}[/tex] ) = 2 + [tex]\frac{1}{4}[/tex] = 2 [tex]\frac{1}{4}[/tex] = [tex]\frac{9}{4}[/tex]
The possible values of a and b are 8, -3 or 9/4 , -1/8 respectively.
What is an equation ?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given equations are,
ax + by = 2 (1)
and bx + a²y = 10 (2)
Also, x = 1 and y = 2 are the solution of the equation,
Substitute x = 1 and y = 2in equation (1),
a(1) + b(2) = 2
a + 2b = 2 (3)
Further substitute x = 1 and y = 2 in equation (2),
b(1) + a²(2) = 10
2a² + b = 10 (4)
By solving equation (3) and (4),
The possible values of a are 8 and 9/4.
And possible value of b are -3 and -1/8.
To know more about Equation on:
brainly.com/question/187506
#SPJ2
Choose the inequality that could be used to solve the following problem.
Three times a number is at most negative six.
(A) 3x ≤ -6
(B) 3x < -6
(C) 3x ≥ -6
(D) 3x > -6
Answer:
I believe the answer is A
Step-by-step explanation:
three times x can be equal to, but never greater than -6
Answer:
A. 3x ≤ -6
Step-by-step explanation:
the sentence ‘3x is at most -6
means that the most 3x is allowed to be is -6
it can be -6 or any number less than -6
So, the phrase 3x is at most -6
’ means ‘
3x ≤ -6
Write an equation in slope-intercept form that describes the line through the points (-2,6) and (3, 1).
Answer:
y=-x+4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(1-6)/(3-(-2))
m=-5/(3+2)
m=-5/5
m=-1
y-y1=m(x-x1)
y-6=-1(x-(-2))
y-6=-(x+2)
y-6=-x-2
y=-x-2+6
y=-x+4
1.1046 rounded to the nearest whole number
Answer:
1
Step-by-step explanation:
Answer is 1
cuz nearest whole number, just check the next number that is nearest, that in this case is the decimal 1, hence, if it's 5 or above add a one to the whole number, if not then just write it as it is. in this case the nearest number is less than five so we just write it as 1.0000 or just 1
Calculate 18.75 x 11.54 a) exact value b. corrected to 1 d.p c. corrected to 2 s.f
Step-by-step explanation:
18.75 x 11.54
= 216.375
216.375 is the correct answer
Solución
10x-3x=11+10
Answer: x=3
Step-by-step explanation:
Which of the following is the missing reason? Statements Reasons two thirds times x plus 7 equals negative 5 Given 2x 21 = â’15 Multiplication Property of Equality 2x = â’36 Subtraction Property of Equality x = â’18 ? Division Property of Equality Distributive Property Addition Property of Equality Subtraction Property of Equality.
The correct option is B. Distributive property
Given,
[tex]\frac{2}{3} x+7=-5\\[/tex]
On solving the above equation,
multiplying both sides by 3 we, get
[tex]2x+21=-15[/tex]
now subtracting 21 from both the sides,
[tex]2x=-36\\[/tex]
dividing both the sides by 2 we get,
[tex]x=-18[/tex]
Since in the above steps we follow all the giving property except the distributive property.
Hence the correct option is B. Distributive property.
For more details follow the link:
https://brainly.com/question/13130806
i need help on this assignment
Answer:
the answer is 10
Step-by-step explanation:
by the why want to be friends??
Answer:
10
Step-by-step explanation:
answer the following question
While moving up on the rope-way, I noticed that the seat place in the opposite direction was numbered as 95. Behind it was number 0, then 1, 2 and so on. My seat place was numbered as 66. What number should I meet when I am in the middle of my one-way route?
The seat in the middle of the one-way route is 34
The seats are given as:
[tex]First= 0[/tex] --- the first seat behind the seat number 95
[tex]Last= 66[/tex] --- my seat
The seat number half-way would be:
[tex]Half = \frac{Last - First}{2} + 1[/tex]
This gives
[tex]Half = \frac{66- 0}{2} + 1[/tex]
Subtract 0 from 66
[tex]Half = \frac{66}{2} + 1[/tex]
Divide 66 by 2
[tex]Half = 33 + 1[/tex]
Add 33 and 1
[tex]Half = 34[/tex]
Hence, the seat in the middle of the one-way route is 34
Read more about median at:
https://brainly.com/question/8892632
Which of these shapes have an area
Answer:
Shape 2 and 3
Step-by-step explanation:
shape 1 is not enclosed so it cannot have area
james scored 30 out of 90 in a music test.he scored 48 out of 150 in drama test scored 35 out of 120 in an art test.in which test james score the highest
Answer:
music test
Step-by-step explanation:
divide each one and find the highest answer.
if f(x)= 3x+1 and g(x)= x^2-6 FIND (f+g)(x)
Answer:
-x² + 3x + 7
Step-by-step explanation:
• f(x) = 3x + 1
• g(x) = x² - 6
Then,
According to th' question :-
(f - g)(x) = f(x) - g(x)
= 3x + 1 - (x² - 6)
= 3x + 1 - x² + 6
= -x² + 3x + 7
What forms of the following equation in?
y=5x−3
what is 4(2x+3) simplified using distributive property
Answer:
8x +12
Step-by-step explanation:
The outside factor is applied to each term inside parentheses:
4(2x +3) = 4(2x) +4(3) = 8x +12
[tex]\huge\boxed{Hi\:there!}[/tex]
To simplify this expression, we should use the Distributive Property.
It states that
a(b+c)=ab+ac
Let's use it:
4(2x+3)
8x+12
That's the answer.
[tex]\huge\boxed{\boxed{\boxed{Hope\:it\:helps!}}}[/tex]
[tex]\huge\bold{Good\:luck!}[/tex]
[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]
Kareem has $20,000 in his savings account that earns 5% annually. How much interest will he earn in one year?
Answer:
1000
Step-by-step explanation:
5% of my 20000 is 1000 so 21000 total or 1000 anually
find the value of A
help please
Answer:
a= 6
Step-by-step explanation:
(7a-4)= 38
7×6= 42
42-4= 38
help please! very important
PLEASE NO LINKS OR NEGATIVITY
Select the correct answer.
You're trying to determine how much money it would cost to hire a lawn mowing company to cut your grass. Your yard
measures 8,712 square feet. The lawn mowing company charges a base rate of $30, plus $20 for every tenth of an
acre. You determine that it will cost $70 to hire the lawn mowing company. Which sentence best describes this price
estimate?
A. The price should be $50 because you have a 0.1 acre yard.
B. The price should be $50 because you have a 0.2 acre yard.
C. The price should be $90 because you have a 0.3 acre yard.
D.
The price estimate is accurate,
PLEASE HELP! WILL MARK BRAINLIEST!!!
AnswerAnswers in explaination
Step-by-step explanation
PART A ANSWER: equation 1) y=1155x+982 and 2) y+100x+1000 both have x model the number of years and y model the investment they made.
PART B answer: The two equations I solved for above
Part C: if she goes with the first plan and invest for 20 years she'll get 24082 dollars and if she invest in the second one she'll get 3000 dollars. As you can see there is a huge difference between the two
PLEASE CAN SOMEONE HELP ME
Answer:
u=ABCDEF
Step-by-step explanation:
1. A hat store tracks the state of college and professional team hats for m, months. The number of
college hats sold is represented by (6m+3). The number of professional hats sold is represented by
(5m-2). Write an expressions to show how many more college hats were sold than professional hats.
Then evaluate the expression if m equals 10.
NYS
2. Which expression is equivalents to the expression -3(4x-2)-
2x ? Explain the process you used to find your solution.
A. -8x
B. -16%
C. -14x-2
D. -14x + 6
3. A square scrapbooking page has a perimeter of (8x+20) inches. What is the length of one side of the
scrapbooking page? Show your work.
1) The expression representing how many more college hats were sold than professional hats is [tex]m+5[/tex]
when [tex]m=10[/tex], [tex]15[/tex] more college hats were sold
2) The equivalent expression to [tex]-3(4x-2)-2x[/tex] is [tex]-14x+6[/tex]. The explanation is found in the steps below
3) The length of one side of the square scrapbooking page will be
[tex](2x+5)\text{ inches}[/tex]. The working is shown below.
1) According to the question, [tex]m[/tex] is the number of months hats were sold.
[tex]6m+3[/tex] is the number of college hats sold in [tex]m[/tex] months
[tex]5m-2[/tex] is the number of professional hats sold in [tex]m[/tex] months
Since [tex]6m+3>5m-2[/tex] when [tex]m>0[/tex]
the expression representing how many more college hats were sold than professional hats is
[tex](6m+3)-(5m-2)\\=6m+3-5m+2\\=m+5[/tex]
when the number of months hats were sold is [tex]10[/tex], [tex]m=10[/tex], and
[tex]m+5=(10)+5=15hats[/tex]
[tex]15[/tex] more college hats were sold in [tex]10[/tex] months
2) To get the equivalent expression to [tex]-3(4x-2)-2x[/tex], carry out the steps below
remove brackets
[tex]-12x+6-2x[/tex]
arrange like terms
[tex]-12x-2x+6[/tex]
simplify like terms
[tex]-14x+6[/tex]
The answer is (D)
3) Let the length of one side of the square be [tex]s[/tex]
The perimeter will be
[tex]4s=8x+20[/tex]
making [tex]s[/tex] the subject of the formula
[tex]\dfrac{4s}{4}=\dfrac{8x+20}{4}\\\\s=(2x+5)\text{ inches}[/tex]
Learn more about word problems here: https://brainly.com/question/17067890
A drawing of a man is 4 inches high. The actual man is 64
inches tall. What is the scale factor for the drawing?
Answer:
Step-by-step explanation:
The scale factor is the ratio between the man's actual height and the height of the drawing.
Scale = 64/4 = 16
Answer:
1/16
Step-by-step explanation:
the actual man is 16 times bigger than drawing.
A Freight Train Travels 144 miles in 6 hours.How Far will it travel in 15 hours
Please help me out kindda hard
Hello there, there are multiple ways of solving this problem, let me show you.
[tex]{\huge{\boxed{\mathbb{QUESTION}}}}}[/tex]
A Freight Train Travels 144 miles in 6 hours. How Far will it travel in 15 hours?
_________________
For this problem I will show you 2 methods.
[tex]{\huge{\boxed{\mathbb{METHOD\:ONE}}[/tex]
Cross multiplication, cross multiplication involves algebra to use.
Let x be our answer for this problem. Here is our it would look like
[tex]\frac{6}{144}=\frac{15}{x}[/tex], now we will cross multiply, here is what it'd look like now.
[tex]6x=2160[/tex], then do simple algebra and divide both sides by 6. and then we get [tex]x=360[/tex] miles in 15 hours.
_________________
[tex]{\huge{\boxed{\mathbb{METHOD\:TWO}}[/tex]
For method two we can look for the unit rate. Also known as our rate for one.
divide 144 by 6 and we get 24, then multiply it by 15 and we get 360.
_________________
[tex]{\huge{\boxed{\mathbb{EXACT\:ANSWER}}[/tex]
360 miles in 15 hours.
Have a good day :) !What is the answer to 27 · 64?
Answer:
1728
Step-by-step explanation:
27
64
-----------
108
1620
1728
Answer:
1728
Step-by-step explanation:
27•64= 0108+162 =1728
please solve quickly for 50 points
Please help with this I will give brainliest
Answer:
I beleave its 27
Step-by-step explanation:
Evelyn can run 3 miles in 40 minutes
Answer:
m= 4.5 miles
Step-by-step explanation:
Let the number of miles Evelyn can run be m and can be modeled by the equation below
m= kx
Where x Is the Minutes
When m= 3
x= 40
3= k40
k= 3/40
If x= 60
m=3/40(60)
m = (60*3)/40
m= 180/40
m= 4.5 miles