Answer:
50 chairs with arms and 50 without arms will cost $7500
Step-by-step explanation:
Create two equations using the given information. The unknowns are :
W = Number of chairs with arms
N = Number of chairs with No arms
First equation (associated with the total number of chairs to buy):
W + N = 100
Second equation (associated with the amount to spend):
80 W + 70 N = 7500
Solving: solve for W in the first equation: W = 100 - N
Use it to substitute for W in the second equation:
80 (100 - N) + 70 N = 7500
8000 - 80 N + 70 N = 7500
subtract 8000 from both sides and combine
- 10 N = - 500
Divide both sides by -10 in order to solve for N
N = -500 / (-10) = 50
Now use this value in the substitution equation to solve for W:
W = 100 - 50 = 50
So the person can buy 50 chairs with arms and 50 chairs without arms paying for them $7,500.
Richard Brian puts $30 worth of gas in his truck. The price per gallon was $2.50. Which equation can be solved to find the number of gallons Richard Brian's purchased?
Answer: See explanation
Step-by-step explanation:
From the question, we are informed that Richard Brian puts $30 worth of gas in his truck and the price per gallon was $2.50.
The equation that can be solved to find the number of gallons Richard Brian's purchased will be the worth of gas in the truck divided by the price per gallon. This will be:
x = 30 / 2.50
where x = number of gallon.
= 12 gallons
HELPPPPPPPP !!!!!!!!!
Tell whether the number is prime or composite.
68
Answer:It's composite
Step-by-step explanation:It's composssssiiiiitttteeeee
10 oranges for 4.70 how much is the cost per orange?
Answer:
0.47 for each orange
Step by step explanation:
because I divided 4.70 ÷ 10 and I came out to be 0.47
Complete the statement. Round to the nearest hundredth if necessary. 64 lb ≈ kg
Answer:
64 lb = 29.029912 kg
Rounded to the nearest hundredth is 29.03 kg
hope this helps!
Solve:
4(-6) =
-9(5) =
-1.5(-7) =
Answer:
5
Step-by-step explanation:
DOES ANYONE KNOW THESE ANSWERS PLEASE HELP
If you roll a number cube two times, what is the probability of rolling an even on the first roll and a four on the second roll?
Answer:
1/12
Step-by-step explanation:
Probability is a ratio derived as the number of possible outcomes divided by the total outcome.
On a number cube, the even sides are 2, 4 and 6. This means that the possible outcome for rolling an even is 3 while the total outcome is 6. Hence the probability of rolling an even P(E)
= 3/6
The probability of rolling a 4 P(4)
= 1/6 (4 appears on one side)
Hence the probability of rolling an even on the first roll and a four on the second roll
P(En4) = 3/6 * 1/6
= 3/36
= 1/12
1. An AP has a common difference of 3. Given that the nth term is 32, and the sum of the first n terms is 185, calculate the value of n.
Answer:
The value of n is 10
Step-by-step explanation:
The formula of the nth term of the arithmetic progression is a[tex]_{n}[/tex] = a + (n - 1)d
a is the first termd is the common difference between each 2 consecutive termsn is the position of the termThe formula of the sum of nth terms is S[tex]_{n}[/tex] = [tex]\frac{n}{2}[/tex] [2a + (n - 1)d]
∵ An AP has a common difference of 3
∴ d = 3
∵ The nth term is 32
∴ a[tex]_{n}[/tex] = 32
→ Substitute them in the 1st rule above
∵ 32 = a + (n - 1)3
∴ 32 = a + 3(n) - 3(1)
∴ 32 = a + 3n - 3
→ Add 3 to both sides
∴ 35 = a + 3n
→ Switch the two sides
∴ a + 3n = 35
→ Subtract 3n from both sides
∴ a = 35 - 3n ⇒ (1)
∵ The sum of the first n terms is 185
∴ S[tex]_{n}[/tex] = 185
→ Substitute the value of S[tex]_{n}[/tex] and d in the 2nd rule above
∵ 185 = [tex]\frac{n}{2}[/tex] [ 2a + (n - 1)3]
∴ 185 = [tex]\frac{n}{2}[/tex] [2a + 3(n) - 3(1)]
∴ 185 = [tex]\frac{n}{2}[/tex] [2a + 3n - 3]
→ Multiply both sides by 2
∴ 370 = n(2a + 3n - 3)
∴ 370 = 2an + 3n² - 3n
→ Substitute a by equation (1)
∴ 370 = 2n(35 - 3n) + 3n² - 3n
∴ 370 = 70n - 6n²+ 3n² - 3n
→ Add the like terms in the right side
∵ 370 = -3n² + 67n
→ Add 3n² to both sides
∴ 3n² + 370 = 67n
→ Subtract 67 from both sides
∴ 3n² - 67n + 370 = 0
→ Use your calculator to find n
∴ n = 10 and n = 37/3
∵ n must be a positive integer ⇒ 37/3 neglecting
∴ n = 10
∴ The value of n is 10
3 1Evaluate the expression. 8 2+ 3.8 – 10 x 2
Answer: 65.8
Step-by-step explanation:
First multiply 10 x 2=20
then you add 82 and 3.8 which is 85.8
then you subtract 20 from 85.8 and you get 65.8
Let f(x)=151+4e−0.2x.
What is the y-intercept of the graph of f(x)?
Enter your answer in the box.
y-intercept =
Answer:
y-intercept: (0,)
0, 4e+151
809.366, 0
Step-by-step explanation:
Answer:
Step-by-step explanation:
There are 320 students in a school, There are 36 more boys than girls. What fraction of the students are boys?
Answer:
89/160
Step-by-step explanation:
Total number of students= 320
Total number of students=x+y=320
Let x= number of boys
Let y= number of girls
If there are 36 more boys than girls:
36+y=x
x+y=320 ( given x= 36+y)
36+y+y=320
36+2y=320
2y=320-36
2y=284
y=284/2
y=142
Therefore number of girls=142
Since 36+y=x
36+142=x
x=178
Therefore number of boys =178
Fraction of students that are boys=
178/320
89/160
The shelf life of a battery produced by a major company is known to be normally distributed, with a mean life of 4 years and a standard deviation of 0.75 years. What is the upper quartile of the battery shelf life? What range of years contains the middle 68% of all battery shelf lives?
Answer:
4.5 years ; (3.25, 4.75)
Step-by-step explanation:
Given that :
Mean , m = 4
Standard deviation, s = 0.75
The upper quartile, which is the 3rd quartile of a standard normal distribution is 0.67
Therefore, the upper quartile Q3:
Q3 = mean + 0.67 * standard deviation
Q3 = 4 + 0.67(0.75)
Q3 = 4 + 0.5025
Q3 = 4.5025
Q3 = 4.5 years
Range of values that contain the middle 68%
According to the empirical rule;
68% is within 1 standard deviation of the mean
Therefore ;
Interval will be ;
Mean ± 1 standard deviation
(4 - 0.75) ; (4 + 0.75)
(3.25, 4.75)
Choose the two situations that describe volume.
A. measuring the length and width of a box
B. finding the total number of cubes a box will hold
C. counting how many blocks make up a block tower
D. measuring the length of each side of a desk using cubes
E. counting the number of cubes it takes to cover the entire surface of a desk
What is it?
Answer:
B and C are volume
A = area/perimeter
D = Perimeter
E = surface area
Raymond's age plus two times Melanie's age equals 75. Raymond is 3 years older than Melanie. How old is Melanie? ?
Answer:
Melanie = 24 years old
Raymond = 27 years old
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
The perimeter of square is 24 meters. What is the length of one side of the square. Show your work
Answer:
6+6+6+6
Step-by-step explanation:
Perimeter of square is 24 m.
Perimeter of square = 4 × Side
[tex] \bf \implies \: \large \: 24 \: = \: 4 \: \times \: Side[/tex]
[tex]\bf \implies \: \: Side \: = \: \frac{24}{4} \\ [/tex]
[tex]\bf \implies \: \: Side \: = \: \cancel\frac{24}{4} \: ^{6} \\ [/tex]
[tex]\bf \implies \: \: Side \: = \: 6 \: meters[/tex]
A tree planter can plant 40 trees in 8 hours.
How many trees can a tree planter plant in 2
hours?
Answer:
He can plant 10 trees in 2 hours.
Step-by-step explanation:
First you need to find the number of trees he can plant in an hour.
For this purpose, we will divide 40 by 8 to get an idea about how many he can plant in an hour.
Trees planted in an hour = 40/8 = 5
Now for 2 hours = 5*2 = 10 trees.
Find the slope of the line that contains the pair of points: (6,3)
Answer:
1/2
Step-by-step explanation:
Let the coordinate points be (6,3) and (4,2)
Slope = y2-y1/x2-x1
x1 = 6, y1 = 3, x2 = 4 and y2 =2
Substitute
slope = 2-3/4-6
Slope = -1/-2
Slope = 1/2
Hence the slope of the coordinate is 1/2
Note that the other Coordinate was assumed
10 x L - 9 + -2P im stuck there
Answer:
thx this really helps
Step-by-step explanation:
show that (X+1)(x+3)(x+5)=ax3+bx2+cx+d
Answer:
a = 1
b = 9
c = 23
d = 15
Step-by-step explanation:
Expand it out:
(x^2 + 4x + 3)(x+5)
(x^3 +4x^2 +3x + 5x^2 + 20x + 15)
=x^3 + 9x^2 + 23x +15
One teacher wants to give each student 2/3 of a slice of pizza. If the teacher has 4 slices of pizza how many student will get a slice of pizza
w2b RC.132ETGZEEEEEEEEEEEEEEEEEEEEE
Answer:
6 Students!
Step-by-step explanation:
answer all questions for brainlist and 30 points
Answer:
All answers in explanation...
Step-by-step explanation:
16: S = more shoes than Ruben 10+s
17: M = money spent on dinner M-5
18: M = Mary's ringtones 3 + 2M
19: C = cost S= shoe rental C = S + (3*4)
20: C= cost C + 12.75 + (4 * 3)
Hope this helps :)
I need helppp soo like yeah
Answer:
x = 30°
Step-by-step explanation:
Since 2 of the sides are congruent then the triangle is isosceles and the 2 base angles are congruent, both 75°
The sum of the 3 angles in a triangle = 180°, then
x = 180° - (75 + 75)° = 180° - 150° = 30°
In 5 + In x = 1
this is from my algebra 2 class and we just have to solve
Answer:
2
Step-by-step explanation:
In 5 + In x = 1
In 5 + In x = In 10 (Because In 10 = 1)
In(5x) = In 10
5x = 10
x = 10/5
x = 2
please help me in this question
Answer:
m= 4Step-by-step explanation:
(-5)^(m + 3) × (-5)^8 = (-5)^15(-5)^(m + 3 + 8) = (-5)^15(-5)^(m + 11) = (-5)^15m + 11 = 15m = 4What is the function of this graph?
Answer:
x=y^2-2
Step-by-step explanation:
This graph, is a parabola that opens to the right.
To answer this question, we just use the vertex form of a sideways parabola- x=a(y-k)^2+h.
In this case, the vertex is (-2, 0), and our value of a is 1, since it opens to the right.
This gives us: x=1(y-0)^2+(-2)
Which simplifies to: x=y^2-2.
Also, the answer to the previous two questions are wrong.
The D value (Domain) is actually [2, ∞)
The R value (Range) is actually "All real numbers" (-∞, ∞)
Let me know if this helps!
Colin was thinking of a number. Colin halves it and gets an answer of 5.2. What was the original number?
Answer: 10.4
Step-by-step explanation:
Let the number that Colin is thinking of be represented as x.
We are informed that Colin halves the number and gets an answer of 5.2. This can be written as:
x ÷ 1/2 = 5.2
0.5x = 5.2
Divide through by 0.5
0.5x/0.5 = 5.2/0.5
x = 10.4
The number is 10.4
help i’ll give brainliest
Answer:
C is your answer good sir
Answer:3/11
Step-by-step explanation:
5+5=10 u add one to the denominator making that 11 and the numartaor is 3
I really need help for this geometry question, I would appreciate any help thank you.
Answer:
5
Step-by-step explanation:
In a 30 60 90 triangle the shortest side is considered to be half the hypotenuse. So in this case, 10 is the hypotenuse and 10/2 = 5.
I need help with this