Answer:
He paid $2.35 for each pair of socks.
An equation using the variable S is
$77.99 = 9S + (3 × $8.28) + $32
Step-by-step explanation:
Let S be the cost of a pair of socks
From the question, Mark purchase nine pairs of socks, that is, the total cost of the pairs of socks is 9S
He purchase three packages of undershirts for $8.28 each; the total cost of the three packages of shirt will be 3 × $8.28 = $24.84
and he also purchase a pair of pants for $32
Since he spent a total of $77.99, we can write that
$77.99 = 9S + (3 × $8.28) + $32
Now, we can determine S, the cost of a pair of socks
$77.99 = 9S + (3 × $8.28) + $32
$77.99 = 9S + $24.84 + $32
$77.99 = 9S + $56.84
9S = $77.99 - $56.84
9S = $21.15
S = $21.15/9
S = $2.35
Hence, he paid $2.35 for each pair of socks.
another one guyssslol
There are 240 students going on a field trip. Each school bus can hold 48 students. Complete the equation to show which operation to use and how many school buses are needed.
Answer:
240÷48=5 no of buses needed, use division
What is 7 3/8 + 2 1/8
Answer:
9.5
Step-by-step explanation:
Someone invested some money at 8% and $300 more than
twice this amount at 12%. Her total annual income from
the two investments is $548. How much is invested at
each rate?
32
Answer:
$1600 at 8% and 3500 at 12%
Step-by-step explanation:
The rule of the interest is I = PRT, where
P is the amount of investment R is the rate in decimalT is the timeAssume that the amount of money is $x
∴ P = x
∵ The rate is 8%
∴ R = 8/100 = 0.08
∵ She has an annual income
∴ T = 1
→ Substitute them in the rule to find the interest amount
∴ I = x × 0.08 × 1
∴ I = 0.08x
∵ She invested $300 more than twice the previous amount
∴ P = 2x + 300
∵ The rate is 12%
∴ R = 12/100 = 0.12
∵ T = 1
→ Substitute them in the rule to find the other interest amount
∴ I = (2x + 300) × 0.12 × 1
∴ I = 0.24x + 36
∵ Her total annual income from both investments is $548
→ Add the two amount of interest and equate their sum by 548
∴ 0.08x + 0.24x + 36 = 548
→ Add the like terms in the left side
∴ 0.32x + 36 = 548
→ Subtract 36 from both sides
∴ 0.32x + 36 - 36 = 548 - 36
∴ 0.32x = 512
→ Divide both sides by 0.32
∴ x = 1600
∴ She invested $1600 at 8%
→ Substitute x by 1600 in the expression of the other amount to find it
∵ 2x + 300 = 2(1600) + 300 = 3500
∴ She invested $3500 at 12%
Jeremy stands on the edge of a river and throws a rock into the water. The rock leaves his hand at a height 4 feet above the water. The rock reaches the highest point along its path when it is a horizontal distance of 28 feet from his hand and 17 feet above the water. Write a function to represent the height of the rock in terms of its distance from Jeremy’s hand.
Answer:
The height, h, of the rock as a function of the horizontal distance from Jeremy's hand is h = -13/784·(x - 28)² + 17
Step-by-step explanation:
The given parameters are;
The height of the rock above the water when it leaves Jeremy's hand = feet
The maximum height of the rock = 28 feet
The horizontal distance at maximum height = 17 feet
Therefore, the given coordinates of the maximum height = (28, 17)
The equation of a parabola in vertex form is f(x) = a(x - h)² + k
Taking the maximum point as the vertex of the parabola, we have;
(h, k) = (28, 17)
Substituting the values gives;
f(x) = a·(x - 28)² + 17
At x = 0, the height = 4, we have;
f(0) = 4 = a·(0 - 28)² + 17
4 - 17 = a×28²
-13 = 784 × a
a = -13/784
Therefore, the height of the rock, f(x) = h, as a function of the horizontal distance from Jeremy's hand is therefore;
f(x) = h = -13/784·(x - 28)² + 17
Which choice is equivalent to 6(y-3)+2y-2
A. 8y-20
B. 4y-20
C. 8y-5
D. 8y-16
Answer: its 8y-20
You need to rmove the parenthesis and combine like terms
The high school decided to buy new unitorms for the girls and boys' basketball teams. They plan to buy 35 uniforms with a total cost of $1,235. The store
offers discounts based on the number of items the school buys, as shown below. What will the discounted price be for the high school?
Answer:
$802.75
Step-by-step explanation:
1235x0.35=432.25
1235-432.25=802.75
The Edison Lightbulb Company tests 5% of their daily production of lightbulbs. If 500 bulbs were test on Tuesday, what was the total number of bulbs produced that day?
Answer:
1,000 lightbulbs that day were tested
Step-by-step explanation:
How to find the short sides of a right angle triangle if your only given the length of the hypotenuse which is 15. And the shorts sides are equal to each other.
When you are adding in commas to separate periods, which direction do you move to place them? What is the second set of period called?
PLEASE ! Find the slope of the line graphed.
Answer:
slope = -1/2
Step-by-step explanation:
From the graph, pick two points:
[tex](x_{1} , y_{1} ) (x_{2} , y_{2} )[/tex]-> (0, -2) and (-4, 0)
Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
so (-2 - 0)/(0-(-4)) = -2/4 -> -1/2
A large container holds 5 gallons of water. It begins leaking at a constant rate. After 10 minutes, the
container has 4 gallons of water left.
Part 1 out of 2
At what rate is the water leaking? Express your answer as a positive value.
The water is leaking at the rate of
gal/min.
Answer:
2/5 or 0.4
Step-by-step explanation:
This is simplified. For the question 4/10 .
Find the difference quotient for f(x) = 3x2 – 12.
_x+_h
The difference quotient for f(x) = 3x2 – 12 is 6x + 3h
How to determine the difference quotient?The function is given as:
f(x) = 3x^2 – 12.
Calculate f(x + h)
f(x + h) = 3(x + h)^2 – 12
The difference quotient is then calculated using:
[tex]f'(x) = \frac{f(x + h) - f(x)}{h}[/tex]
This gives
[tex]f'(x) = \frac{3(x + h)^2 - 12 - 3x^2 + 12}{h}[/tex]
Evaluate the difference
[tex]f'(x) = \frac{3(x + h)^2- 3x^2}{h}[/tex]
Expand
[tex]f'(x) = \frac{3x^2 + 6xh + 3h^2- 3x^2}{h}[/tex]
Evaluate the difference
[tex]f'(x) = \frac{6xh + 3h^2}{h}[/tex]
Evaluate the quotient
f'(x) = 6x + 3h
Hence, the difference quotient for f(x) = 3x2 – 12 is 6x + 3h
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Solve: x/5 =10 can you help me solve that
Answer:
d
Step-by-step explanation:
10*5=50
could u vote me brainliest plz? thx :)
Answer:
50
Step-by-step explanation:
x/5 time 5 = 10 times 5
x = 50
Two fitness clubs are asding new members. Fitness club A cutrently has 450 memebers and adds 15 nee memeners each month. Fitness club B currently has 400 members amd adds 25 new members each month. After how many months will fitness club A and B have the samr number of members?
Answer:
It will take 5 months for the two fitness clubs to have the same number of members
Step-by-step explanation:
Let the number of months it takes fitness club A and B to have the same number be = x
For the two clubs to have the same number in x months, that means we can set up an equation as follows
450 +15x = 400 + 25x
Grouping like terms
450 - 400 = 25x -15x
50 = 10x
x= 5
Therefore, it will take 5 months for the two fitness clubs to have the same number of members
whats the answer and how
Answer: its c or 35
Step-by-step explanation: because at 10 salespeople its 40, so 9 salespeople is 35
Write the coordinate of G'after G(1, 2) was reflected over the line y=x.
Answer:
(-1,2)
Step-by-step explanation:
Answer:
(2,1)
Step-by-step explanation:
Jack runs 4 laps in 6 minutes. At that pace, how long did it take him to run half of a lap? Show your work. Write and solve a proportion for the situation.
Answer: half a lap would take 45 seconds
Step-by-step explanation:
Graph: +2 = 2(x + 3)
y
x
y
6
4
2
-6
-4
-2
2
4
6
-2
-4
-6
Draw
Answer: 6
4
2
-6
-4
-2
2
4
6
-2
-4
-6
Draw
Step-by-step explanation:
Answer:
good job
Step-by-step explanation:
Is the following a function? (plz help ;-;)
Answer:
Yes this is a function
Step-by-step explanation:
For every inout there is one output
Given the following function, find f(-1), f(0), and f(5).
f(x)=x2-4
f(-1) =
f(0)=
f(5)=
Answer:
-6, -4, 6
Step-by-step explanation:
1.) f(-1)= (-1)2 - 4
= -2-4
= -6
2.) f(0)=(0)2-4
= -4
3.) f(5)= (5)2 -4
=10-4
6
What is an equation of the line that passes through the points(6,-6) and (-6,-8)
Answer:
y=1/6x-7
Step-by-step explanation:
please help!!!!!! im desperate!!!
Answer:
148degrees
Step-by-step explanation:
add 180 plus 32 which is 212 subtract that from 360 which is 148
Which set represents the same relation as the graph below?Which set represents the same relation as the graph below?
A coordinate plane has 7 points. The points are (negative 5, 4), (negative 3, negative 2), (negative 1, negative 2), (2, 0), (3, 3), (4, 5), (6, negative 4).
StartSet (4, negative 5), (negative 2, negative 3), (Negative 2, negative 1), (0, 2), (3, 3), (5, 4), (negative 4, 6) EndSet
StartSet (negative 5, 4), (negative 3, negative 2), (negative 1, negative 2), (2, 0), (3, 3), (4, 5), (6, negative 4) EndSet
StartSet (negative 5, 4), (negative 3, negative 1), (3, 3), (4, 5), (6, negative 4) EndSet
StartSet (4, negative 5), (negative 3, 2), (negative 1, 2), (2, 0), (4, 5), (6, 4) EndSet
Answer:
B; SECOND GRAPH
Step-by-step explanation:
Took the test
The set of ordered pairs that represents the same relation as the graph given is: B. (-5, 4), (-3, -2), (-1, -2), (2, 0), (3, 3), (4, 5), (6, -4).
What is a Relation?A relation is a relationship between the input (x-values) and output (y-values), which can be displayed on a graph on a coordinate plane on the vertical axis and the horizontal axis.
From the graph given as shown in the image attached below, the set that has same coordinate points as indicated on the graph is: B. (-5, 4), (-3, -2), (-1, -2), (2, 0), (3, 3), (4, 5), (6, -4).
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Please help me!!! I feel sick and really want to go to bed so please help soon!! thank u!!!
Answer:
I think It is 8 as well, but not sure
Step-by-step explanation:
Can someone please help me asap I’ll mark brainlist?!?!
Answer:
40
Step-by-step explanation:
15/40 divided by 5= (15 divided by 5)/(40 divided by 5)= 3/8
Answer:
a = 40
Step-by-step explanation:
Cross multiply, then divide:
15 × 8 = 120120 ÷ 3 = 40I hope this helps!
I need some help solving these
Answer:1. 4x5
2. 7xm
3. 3xa
Step-by-step explanation: length times height to get area!
Answer:
Number 1 would be 4 x 5 = area
Number 2 would be 7 x m = area
And number 3 would br 3 x a = area
If i have 2 snickers and my friend takes one what would I have left?
A. 2
B. 1
c. All of the above
Answer:
1
Step-by-step explanation:
73,836 divided by 84
show work pls.
Answer:
879
Step-by-step explanation:
84 |73836
1738-672=663
663-588=756
The value of -4 - x is positive. What must be true about x ?
NEED HELP NOW!!!!!
Answer:
x is bigger than or equal to 5.