Answer:
22 people
Step-by-step explanation:
Change 2 3/4 into a fraction, 11/4.
Then divide by 1/8
11/4 x 8/1 = 22
Find the 75th term of the following arithmetic sequence 16,25,34,43
Answer:
[tex]\boxed {\boxed {\sf 682}}[/tex]
Step-by-step explanation:
The nth term of an arithmetic sequence can be found using the following formula.
[tex]a_n=a+d(n-1)[/tex]
where a is the first term, d is the common difference, and n is the term.
First, we should find the common difference.
We can do this by subtracting each term from the term following it. Basically, subtract the first term from the second term, the second from the third, and so on.
[tex]d= a_2-a_1[/tex]
The second term is 25 and the first is 16.
[tex]d= 25-16[/tex]
[tex]d=9[/tex]
Now we know the common difference is 9. We also know the first term is 16 and we are looking for the 75th term.
[tex]d=9 \\a=16 \\n= 75[/tex]
Substitute the values into the formula.
[tex]a_{75}=16+9(75-1)[/tex]
Solve according the PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction).
Solve the parentheses first.
[tex]a_{75}=16+9(74)[/tex]
Multiply next.
[tex]a_{75}=16+666[/tex]
Finally, add.
[tex]a_{75}=682[/tex]
The 75th term in the sequence is 682.
If f(x)=x²-16 is continuous at x = -4, find f(-4).
Answer:
0
Step-by-step explanation:
f(-4) means x = -4 so then plug -4 into the function.
y = -4²-16
y = 0
Answer:
f(-4) =0
Step-by-step explanation:
f(x)=x²-16
Let x = -4
f(-4) = (-4)^2 -16
= 16-16
= 0
On Saturday, the Anderson
Family had dinner at a
restaurant. They ordered 2
pizzas and 4 cheeseburgers for
$31.50. The following weekend,
the Anderson Family had dinner
at the same restaurant where
they ordered 3 pizzas and 2
cheeseburgers for $33.25. Which
system of equations can be used
to determine the cost of one
pizza (p) and one cheeseburger
(c)?
Answer:
[tex]\left\{\begin{matrix}2p + 4c = 31.50\\3p + 2c = 33.25\end{matrix}\right.[/tex]
Step-by-step explanation:
Let's call (as suggested)
p = the cost of one pizza
c = the cost of one cheeseburger
The Anderson Family ordered 2 pizzas and 4 cheeseburgers and paid $31.50, thus:
2p + 4c = 31.50 [1]
Next weekend, they ate at the same restaurant and ordered 3 pizzas and 2 cheeseburgers for $33.25, thus:
3p + 2c = 33.25 [2]
To know the cost of one pizza and one cheeseburger, we need to solve the system of equations defined by [1] and [2]
[tex]\left\{\begin{matrix}2p + 4c = 31.50\\3p + 2c = 33.25\end{matrix}\right.[/tex]
(03.06a LC) How many solutions does the equation 4x + 8 = -2 - 2 + 5x have? (5 points)
Two
One
None
Infinitely many
Answer:
1 x=12
Step-by-step explanation:
combine -2 ans -2 then add -8 the subtract 5 from 4 and divde 1 from each side
Apply the distributive property to create an equivalent expression. 6(3c-5d+6)=
Answer:
18c - 30d + 36
Step-by-step explanation:
I need help with these four questions.
What is the system of checks and balances designed to ensure?
Answer:
ensure that no single branch of government would have too much power
Step-by-step explanation:
The table shows the cost in dollars, y, for shipping x number of chargers and electronic tablets.
Which function shows the combined cost in dollars, y, for three shipments with x number of chargers and tablets?
y = 2.00x + 4.00
y = 6.00x + 12.00
y = 3.50x + 2.50
y = 10.50x + 7.50
please help
Using the function f(x) = 3x – 5, what would the output be for an input of 4?
Answer:
Step-by-step explanation:
3 x 4 - 5
= 7
The required output of the given function at x = 4 is given as f(x) = 7.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
To evaluate output from the function f(x) = 3x - 5, at x = 4 we must put the value of x in the function:
f(4) = 3(4) - 5
f(4) = 7
Thus, the required output of the given function at x = 4 is given as f(x) = 7.
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1.Why is multiplying essential in the process of dividing fractions?
Answer: Few phrases make me cringe the way I do when I hear, “Ours is not to reason why; just invert and multiply.” A student’s job in math class is to reason, and a teacher’s job is to help the students see that math makes sense. Understanding division of fractions is complicated, bringing together many ideas that build up to a method that makes sense, especially in the tricky case of a fraction divided by a fraction. Liping Ma writes about research asking teachers to explain what it means to divide by a fraction. Most U.S. teachers were startled to find how difficult this was for them. What if we start with the simpler case of a whole number divided by a fraction?
1. - 2(x + 11) = -18
Answer:
x = - 2
Step-by-step explanation:
Step 1:
-2 ( x + 11 ) = - 18 Equation
Step 2:
- 2x - 22 = - 18 Multiply
Step 3:
- 2x = 4 Add 22 on both sides
Step 4:
x = 4 ÷ - 2
Answer:
x = - 2
Hope This Helps :)
What is the value of x?
- (12 – 8x) = 5x +15 – 7x
Enter your answer in the box.
X=
Answer:
Step-by-step explanation:
-(12-8x)=5x+15-7x
-12+8x=5x+15-7x
8x+7x-5x=15+12
10x=27
x=27/10
Answer:
x = 27/10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
-(12 - 8x) = 5x + 15 - 7x
Step 2: Solve for x
Distribute negative: -12 + 8x = 5x + 15 - 7xCombine like terms: -12 + 8x = -2x + 15Add 2x on both sides: -12 + 10x = 15Isolate x term: 10x = 27Isolate x: x = 27/10Calculate the expression below. Use the correct
order of operations.
3x (4 - 2) + 1
Answer: 7
Step-by-step explanation:
3x (4 - 2) + 1
3x (2) + 1
6 + 1
7
Can someone help me with my math homework?
Please and I will mark brainliest
College for Readiness and High School students
Answer:
Sure, I can try to help.
Step-by-step explanation:
Answer:
The discrimination is positive
Step-by-step explanation:
The graph shows the parabola with branches go up in positive y-direction. This gives you that a>0.
Since parabola has two x-intercepts, then the equation has two different solutions and the discriminant is greater than 0.
A math class has 9 girls and 1 boy in the seventh grade and 3 girls and 3 boys in the eighth grade. The teacher randomly selects a seventh grader and an
eighth grader from the class for a competition. What is the probability that the students she selects are both boy?
Answer:
10% of choosing a 7th grade boy.
50% of choosing 8th grade boy
Step-by-step explanation:
Answer:
Step-by-step explanation:
prob(boy 7th grade)= 1/10 it is just one boy out of 10 students
prob(boy 8th grade)= 3/6=1/2 there are 3 boys out of 6 students
Prob(both boys)=( 1/10)*(1/2)=1/20
A real estate company wants to give one promotional item to each of its 100 clients. The
company orders a mixture of mugs and pens as the promotional items. The budget for
purchasing all promotional items is $305.
Custom Creations has a consistent rate per mug and pen and offers free shipping. The table
shows the price for each item.
Custom Creations
Price per Mug Price per Pen
$5.55
$2.50
i really dont know but good luck
what is the LCD of 1/3 and 1/4
5. Which is the best first step to solve 5x+12x = 40 by completing the square?
A. Subtract 40 from both sides.
B. Divide all terms by 12.
C. Divide all terms by 5
D. Divide 12 by 2
Answer:
B
Step-by-step explanation:
To make the perfect square the first step is Subtract 40 from both sides option (A) is correct.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
The complete question is:
Which is the best first step to solve 5x²+12x = 40 by completing the square?
A. Subtract 40 from both sides.B. Divide all terms by 12.C. Divide all terms by 5D. Divide 12 by 2We have a quadratic equation:
5x²+12x = 40
To make the perfect square:
First, subtract 40 from both sides.
5x²+12x - 40 = 40 - 40
5x²+12x - 40 = 0
Thus, to make the perfect square the first step is Subtract 40 from both sides option (A) is correct.
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PLS HELP. It’s question 11
Answer:
B.) 10 cm squared
Step-by-step explanation:
Find the value of each variable in the circle to the right. The dot represents the center of the circle.
9514 1404 393
Answer:
a = 57.5
b = 90
c = 65
Step-by-step explanation:
The measure of an inscribed angle is half that of the arc it intercepts. The angle at 'a' intercepts an arc of 115°, so its measure is (115/2)° = 57.5°
__
The inscribed angle at 'b' is a semicircle, 180°, so the measure of 'b' is (180/2)° = 90°.
__
The arc 'c' is the remainder of a semicircle after 115° have been taken away. Its measure is 180° -115° = 65°.
(a, b, c) = (57.5, 90, 65)
00:00 A truck can carry up to 2,000 pounds. The truck is carrying 1,600 pounds divided equally among 8 crates. What is the weight of each crate? Enter your answer in the box. pounds
Which of the following describes [tex]9x + 3y - 15[/tex]
A: Ratio
B: Equation
C: Inequality
D: Expression
Answer:
equation
Step-by-step explanation:
obviously!
You do 2/3 of your math homework problems on Saturday. What fraction of your math problems must you do on Sunday in order to finish your homework?
Answer:
1/3 of your math problems need to be completed on Sunday if you did 2/3 on Saturday.
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
You already did 2/3 on Saturday. So what left to do on Sunday in order to finish your homework is 1/3 more.
Help please *an image is attached*
A 3-pound box of grapes costs $12.00. What is the price per ounce?
Answer:
$2.64
Step-by-step explanation:
I hoped I could help you!!
The length of DF is ______ units.
How to you Simplify x+4-5x-2?
Answer:
Combine the like terms
-4x+2
Thats it
find the missing angles
Jacob pays $30.40 for 3.2 ounces of steak. What is the price per ounce of the steak?
Answer:
30.40/3.2=9.5 so he pays $9.50 per ounce of steak
Step-by-step explanation:
Solve a One-Step Matrix Equation
Solve the matrix equation:
[X1
X2]
+
[-2
5]
=
[8
15]
X1 =?
X2 =?
Answer: 10 , 10
Step-by-step explanation:
By solving one-step matrix equation, we get [tex]x_{1} =10[/tex], [tex]x_{2}=10[/tex].
What is one-step matrix equation?A matrix equation is an equation of the form Ax = b , where A is an m × n matrix, b is a vector in R m , and x is a vector whose coefficients x 1 , x 2 ,..., x n are unknown.
A one-step equation is an algebraic equation you can solve in only one step. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.
Given one-step matrix equation
[tex]\left[\begin{array}{c}x_{1} &x_{2} \end{array}\right]+\left[\begin{array}{c}-2 &5 \end{array}\right] =\left[\begin{array}{c}8 &15 \end{array}\right][/tex]
By adding the matrix the respective equations are:
[tex]x_{1} +(-2)=8[/tex].....(1)
[tex]x_{2} +(5)=15[/tex].....(2)
By solving [tex]x_{1} +(-2)=8[/tex]
⇒ [tex]x_{1} -2=8[/tex]
Add 2 on the both sides of the equation
⇒ [tex]x_{1}-2+2 =8+2[/tex]
⇒ [tex]x_{1} =8+2[/tex]
⇒ [tex]x_{1} =10[/tex]
Solving equation 2
[tex]x_{2} +(5)=15[/tex]
⇒ [tex]x_{2} +5=15[/tex]
Subtract 5 on both sides of the equation
⇒ [tex]x_{2} +5-5=15-5[/tex]
⇒ [tex]x_{2}=10[/tex]
By solving one-step matrix equation, we get [tex]x_{1} =10[/tex], [tex]x_{2}=10[/tex].
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