Can someone help me? It's urgent and thank you!
Use an algebraic approach to solve the problem.
Aura took three biology exams and has an average score of 87. Her second exam score was 11 points better than her first, and her third exam score was 5 points better than her second exam. What were her three exam scores?
Answer:
Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.
Step-by-step explanation:
Use the formula for the mean: sum of elements / number of elements
Let x represent her first exam score.
Her second exam score can be represented by x + 11, since it was 11 points better than her first.
Her third exam score can be represented by (x + 11) + 5, since it was 5 points better than her second.
Plug in all of these expressions into the mean formula. Plug in 87 as the mean, and plug in 3 as the number of elements (since there are 3 scores):
mean = sum of elements / number of elements
87 = ( (x) + (x + 11) + (x + 11) + 5 ) / 3
Add like terms and solve for x:
87 = (3x + 27) / 3
261 = 3x + 27
234 = 3x
78 = x
So, her first score was a 78.
Find her second score by adding 11 to this:
78 + 11 = 89
Find her third score by adding 5 to the second score:
89 + 5 = 94
Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.
(5x-23)
(7x-1)*
Help me please
Answer:
(5x-23)° + (7x-1)° = 180°
5x-23 + 7x-1 = 180
12x - 24 = 180
12x = 204
x = 17
.°. (5x-23)° = 62°
& (7x-1)° = 118°
-31,-22,-33 find the 35th term
Answer:
easy bro go and use m-a-t-h w-a-y
Step-by-step explanation:
it's going to help
35 points. Brainliest gets double the points.
If a and b are two distinct rational numbers, then which of the following statements is true?
a+b is always a rational number while a−b is not always a rational number.
Both a+b and a−b are not always rational numbers.
Both a+b and a−b are always rational numbers.
a+b is not always a rational number while a−b is always a rational number.
pls add explanation if possible
Answer:
Both are rational.
Step-by-step explanation:
As a rational number can be written in the form p/q where p,q are co-prime integers, let a=p1/q1 b=p2/q2.
And we know the product of two integers is an integer
p1q2, p2q1 are integers. And the sum or difference of two integers is rational, rather being specific, it is an integer.
Thus a+b and a-b is rational.
A rectangle measures 8/3 inches by 9/4 inches. What is its area?
Answer:
To find the area, you have to multiply the length times the width
Step-by-step explanation:
Answer:
The area of this rectangle is 6 square units.
Step-by-step explanation:
Multiply the width (8/3 inches) by the height (9/4 inches) to get the rectangle area:
8 9
----- * -----
3 4
8 * 9
This results in ---------- which itself reduces to 6.
4 * 3
The area of this rectangle is 6.
Eugene has to buy cupcakes for a picnic. He needs to make sure that there are more than 8 cupcakes so each of his friends gets at least one cupcake. If Eugene buys y boxes that each contain 4 cupcakes, which inequality represents this situation?
A.
y < 8
B.
y > 8
C.
4y > 8
D.
4y < 8
Answer:
C
Step-by-step explanation:
4xy=4y
since each friend must get at least a cupcake, 4y must be larger than 8
Is 3x – 1= 7 and
3x = 8 equivalent
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Take the 1st equation & solve it :-
[tex]3x - 1 = 7 \\ 3x = 7 + 1 \\ 3x = 8[/tex]
Now, take the second equation :-
[tex]3x = 8[/tex]
[You can't further solve this equation]
So, from the 2 solved equations we can see that,
[tex]\large\bold{3x = 8 \ is \ equivalent \ (=) \ 3x = 8 }[/tex]
✐ The answer will be ⇻ Yes, 3x – 1= 7 and 3x = 8 are equivalent to each other.
____________________
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
Which of the equations below represents a line perpendicular to the x-axis?
A. X=3
B. X=3y
C. X=y
D. X=-3y
Answer: A. x = 3
This is a vertical line that goes through 3 on the x axis. Two points on this line are (3,0) and (3,1). Any vertical line is perpendicular to the x axis.
Which is a better estimate for the length of an almond?
a. 3 meters b. 3 centimeters
Answer:
3 centimeters
Step-by-step explanation:
nope
Answer:
[tex]B[/tex]
Step-by-step explanation:
slecet the correct answer
Answer:
b
Step-by-step explanation:
Help pleaseeeeeeeeeeeeeeeeeeeeee
Answer:
-8 X 3 = -24 + 9 = -15 or you could do -24+9=-15
Step-by-step explanation:
Please help i'm struggling!
Answer:
37
Step-by-step explanation:
Answer:
37
Step-by-step explanation:
1st term -2 + 3= 2nd term 1 + 3= 3rd term 4....... and so on to 14th term, which is 37
Which of the following points is a solution to the system of inequalities below?
y<2x+1
y≥−3x−4
There are 2 vending
machines in an office
building.
The drink machine is
restocked by Derek every
24 days.
The snack machine is
restocked by Emily every
16 days.
If Derek and Emily met
today, in how many days
will they meet again?
Answer:
32 days
Step-by-step explanation:
Derek
24 then 48 then 72
Emily
16 then 32 then 48
16 + 16 =32
Answer:
48 days
Step-by-step explanation:
answer is in photo above
find the lowest common multiple of 24 and 16
Becky says that when she simplifies the following expression, the value is 6 less than her age. What is Becky's age? (7+11) - 8÷2 *
20
14
26
11
Answer:
Becky's age is equal to 20.
Step-by-step explanation:
The given expression is :
(7+11)-(8÷2)
Using Bodmas rule to solve it furthur,
(18)-4 = 14
According to the given condition, let the age is A.
The value is 6 less than her age,
14 = A-6
or
14+6 = A
A = 20
Hence, Becky's age is equal to 20.
The picture is above I’ll mark as brainliest.
Answer:
A. 42 [tex]u^{2}[/tex]
Step-by-step explanation:
The area of the figure is length × width. The length of the figure is 7 units, and the width is 6 units.
Finding the area:
length × width
= 7 × 6
= 42 [tex]u^{2}[/tex]
Use the table to answer the question.
The school cafeteria surveys random students about their favorite food and records the data in the table. If there are 530 students in the school, approximately how many would be expected to choose chicken nuggets?
a. 16 students
b. 40 students
c. 80 students
d. 106 students
Answer:
in the survey, 16 out of 80 students who where asked favored chicken nuggets.
so we need to calculate like this:
530 * 16/80
=530 * 1/5
=530/5
=106
hope this helps your understanding, wish you good grades
Hey im confused on how to solve this. Can Anyone help me?
Answer:
The minimum unit cost is $9374.
Step-by-step explanation:
The unit cost C for making x engines is given by the quadratic function:
[tex]C(x)=0.3x^2-162x+31244[/tex]
We want to determine the minimum unit cost.
Since this is a quadratic function with a positive leading coefficient, the minimum value will be its vertex. The vertex of a quadratic can be found using the following formulas:
[tex]\displaystyle \text{Vertex}=\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]
In this case, a = 0.3, b = -162, and c = 31244.
Find the x-coordinate of the vertex:
[tex]\displaystyle x=-\frac{(-162)}{2(0.3)}=\frac{162}{0.6}=270[/tex]
In other words, in order to achieve the minimum cost, only 270 engines must be made.
Then to find the minimum cost, substitute the value back into the function. So:
[tex]C(270)=0.3(270)^2-162(270)+31244=\$ 9374[/tex]
The minimum unit cost is $9374.
round to the nearest ten i dont get it
Answer:
130
Step-by-step explanation:
instead of 132 round to the nearest 10 so its 130
Answer:
130
Step-by-step explanation:
The Chang family is on their way home from a cross-country road trip. During the trip, the function D(t)=3260−55t can be used to model their distance, in miles, from home after t hours of driving. find D(12) and interpret the meaning in the context of the problem.
Answer:
D(12) = 2,600 miles
It means a distance of 2,600 miles is already traveled from home after 12 hours
Step-by-step explanation:
To find D(12); all we have to do is to substitute the value of 12 for D
We have this as;
D(12) = 3260-55(12)
D(12) = 2,600
In the context of this problem, what this mean is that the distance away from home is 2,600 miles after traveling 12 hours
one fourth of a number is equal to 15/16. write the expression to represnt the above sentence.
note: use x to represent a number.
Answer:
1/4x = 15/16
Step-by-step explanation:
1/4x = 15/16
m to the power of 5 ×m to the power of 6 × n to the power of 11 over m to the power of 3 × n to the power of 5 × n
Step-by-step explanation:
[tex] \frac{( {m}^{5} \times {m}^{6} \times {n}^{11})}{ {m}^{3} \times {n}^{5} \times n} \\ = \frac{ {m}^{11} \times {n}^{11} }{ {m}^{3} \times {n}^{6} } \\ = {m}^{8} \times {n}^{5} \\ = {m}^{8} {n}^{5} [/tex]
Answer:
[tex]\frac{m^5 \times m^6 \times n^{11}}{m^3 \times n^5 \times n^1}[/tex]
Step-by-step explanation:
m to the power of 5 = m⁵
m to the power of 6 = m ⁶
n to the power of 3 = n³
n to the power of 11 = n¹¹
[tex]m^5 \times m^6 \times n^{11}[/tex] over [tex]m^3 \times n^5 \times n^1[/tex] = [tex]\frac{m^5 \times m^6 \times n^{11}}{m^3 \times n^5 \times n^1}[/tex]
Simplified form:
[tex]m^{(5+6-3)} \times n^{(11 - 5- 1)} = m^8 \times n^{6}[/tex]
What is 5/2x + 2y = 5
Answer:
y= -x+1/2
Step-by-step explanation:
The difference between 32.6 and a number is 10.2. Which equation can be used to solve this problem?
32.6 minus y = 10.2
y minus 36.2 = 10.2
10.2 minus y = 32.6
y + 32.6 = 10.2
Answer:
The answer is 10.2-y=32.6 D. y+32.6=10.2
Step-by-step explanation:
Given : The difference between 32.6 and a number is 10.2
Let the number be : y
⇒ 32.6 - y = 10.2
⇒ 32.6 minus y = 10.2
What process allows your body to cool off on a hot day?
A. insulation
B. evaporation
C. convection
(Ik I put the subject as math it's cuz biology hardly gets any answers)
Answer:
I believe the Answer is B
Answer:
B. evaporation
Step-by-step explanation:
Please help please explain it step by step please
Answer:
1. 10 root 3
2.
A=30
B = 60
Step-by-step explanation:
In picture
The Chang family is on their way home from a cross-country road trip. During the trip, the function D (t) = 3260 - 55t can be used to model
their distance, in miles, from home after t hours of driving.
part a:find D(12) and interpret the meaning in the context of the problem. part b: if D(t) =2490, find the value of t and interpret its meaning in the context of the problem
Answer:
See below.
Step-by-step explanation:
D(t) = 3260 - 55t
The function that shows their distance from home as a function of time shows that they started 3260 miles from home and are driving at 55 miles per hour.
part a:
D(12) = 3260 55(12)
D(12) = 3260 - 660
D(12) = 2600
Interpretation: After 12 hours of driving home, they are 2600 miles from home.
part b:
D(t) = 2490
3260 - 55t = 2490
-55t = -770
t = 14
Interpretation: When they are 2490 miles from home, they have driven for 14 hours.
Which input value produces the same output value for the two functions on the graph?
x = −1
x = 0
x = 3
x = 4