Answer:
There are 8 inventors.
Step-by-step explanation:
Let 's' be the salespersonLet 'i' be the inventorsGiven that there are 3 more than twice as many salespeople as inventors.
i.e s = 3+2iAlso given that the whole company has 27 employees.
i.e.
s + i = 27
substituting s = 3+2i
3 + 2i + i= 27
3 + 3i = 27
3i = 27 - 3
3i = 24
divide both sides by 3
i = 8
Thus, there are 8 inventors.VERIFICATION
As the total number of employees is 27.
so the salespeople will be:
s = 3+2i
= 3 + 2(8)
= 3 + 16
= 19
Thus, the total employees are verified as:
s + i = 27
19 + 8 = 27
27 = 27
Solve the system of equations using the substitution method.
y=2+56x
4x−3y=3
Enter your answer in the boxes.
(___,___)
Answer:
(6,7)
Step-by-step explanation:
took the test, was correct.
x= 6, y=7
solve for the first variable in one of the equations, then substitute the result into the other equations.
The value of x is 0.05 and y is 4.8 for given system of equations.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given system of equations are
y=2+56x...(1)
4x−3y=3...(2)
Substitute (1) in equation (2)
4x-3(2+56x)=3
4x-6+168x=3
172x-6=3
Add 6 on both sides
172x=9
Divide both sides by 172
x=9/172
x=0.05
Now plug in x value in equation 1
y=2+56(0.05)
=2+2.8
y=4.8
Hence, the value of x is 0.05 and y is 4.8 for given system of equations.
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Determine whether the ordered pair is a solution of the linear inequality.
x ≤ 3; (–2, 6)
Answer:
[tex]x\le \:3\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:3\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:3]\end{bmatrix}[/tex]
Thus, -2 comes under the interval domain of the inequality (-∞, 3].
Hence, (-2, 6) is a solution to the linear inequality.
Step-by-step explanation:
Given the linear inequality
x ≤ 3
substitute the value of x = -2
-2 ≤ 3
TRUE
It is clear that -2 is indeed less than 3. Thus, the ordered pair (-2, 6) is a solution to the linear inequality.
Also,
[tex]x\le \:3\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:3\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:3]\end{bmatrix}[/tex]
Thus, -2 comes under the interval domain of the inequality (-∞, 3].
Hence, (-2, 6) is a solution to the linear inequality.
Order from least to greatest, (15 points) and brainy award.
Answer:
pi/2 ... 2pi -square root 9..... and then pi +3
Step-by-step explanation:
pretty much the opposite of what it is now
Shirabi spent $208 on a sewing machine to make purses. She spends a total of $10 on thread, fabric, and accessories for each purse and plans to charge $36 for each purse. The equation represents her break-even point, when x represents the number of purses sold.
208 + 10x = 36x
How many purses must she sell in order to break even?
Answer:
8
Step-by-step explanation:
You want to isolate x so that you can solve for it based on the value you have.
This gives you 26x=208. 208/26 equals 8
Answer:
D) 8
Step-by-step explanation:
edge2020
At 5:00 a.m., the temperature outside was 6°F below zero. By noon, it rose by 15°F. At 7:00p.m., the temperature dropped by 5°F. What
was the evening temperature?
URGENT PLS!!!!
Answer:
21F
Step-by-step explanation:
15+6=21
PLEASE HELP!!!! WILL GIVE BRAIN I PROMISE.
Answer:
No, they are not inverses.
Step-by-step explanation:
To find out if this are inverses we will have to switch the x and y in one of the equations. Let's do it with the second equation:
(Remember that f(x)/g(x) and y are virtually the same)
y = -4x + 2
Switch x and y
x = -4y + 2
Now solve for y
x - 2 = -4y
[tex]-\frac{x}{4} + \frac{2}{4} = y\\-\frac{x}{4} + \frac{1}{2} = y[/tex]
Therefore, the 2 functions in the question are not inverses of each other because the actual inverse has a negative in front of the -x/4.
I hope this helps!!
- Kay :)
The options are
0
1
2
4
Answer:
it is 1
Step-by-step explanation:
because the line goes through 1 on the y-axis
Answer:
The answer is 1
Step-by-step explanation:
Which expression is equivalent to 2(14x - 3y + 28x + 12.2 - 5y - 17.5)?
A: 84x - 16y - 10.6
B: 28x - 6y - 10.6
C: 42x - 8y - 5.3
D: 84x - 16y - 5.3
Answer:the answer is a
Step-by-step explanation:
The expression 2(14x - 3y + 28x + 12.2 - 5y - 17.5) is equivalent to the expression 84x - 16y -10.6 option (A) is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have an expression:
= 2(14x - 3y + 28x + 12.2 - 5y - 17.5)
= 28x - 6y + 56x + 24.4 - 10y - 35
Adding like terms
= 84x - 16y -10.6
Thus, the expression 2(14x - 3y + 28x + 12.2 - 5y - 17.5) is equivalent to the expression 84x - 16y -10.6 option (A) is correct.
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Write the word sentence as an equation.
t less than 5 is 12
Answer:
t-5=12
Step-by-step explanation:
Gabriel was given a gift card for a coffee shop. Each morning, Gabriel uses the card to
buy one cup of coffee. Each cup of coffee costs $4 and the original amount of money
on the gift card was $20. Make a table of values and then write an equation for A, in
terms of x, representing the amount money remaining on the card after buying x
cups of coffee.
Number of Cups of Coffee Amount of Money Remaining on Card
Answer: A =
Select all the groups of numbers that are ordered correctly from least to greatest.
A, 2,−4,6,−8
B, −13,−16,12,1
C,−110,0.2,310,14
D,−112,−0.75,−0.25,112
E,−8,−34,−3,14
Answer:
C
Step-by-step explanation:
Here is an inequality on a number line.
What is the value of 1 − 2sin^2(105°)?
A.) -√3/2
B.) -1/2
C.) 1/2
D.) √3/2
Answer:
a
Step-by-step explanation:
edge
Answer:
a
Step-by-step explanation:
edge
What are the three methods to solve a system of linear equations?
Write the expression in simpliest form WILL MARK BRAINLIEST
8 ( -3x + 2)
−24x+16
Hope this helps!
Answer:
-24× + 16
Step-by-step explanation:
hope this helps :D
The equation x+3y=2 can be rewritten in the equivalent form y=___x+____ which revels a slope equals to ___
-3,-2,-1,-2/3,-1/3,1/3,2/3,1,2,3
Hello!
[tex]\large\boxed{Slope = -\frac{1}{3}}[/tex]
x + 3y = 2
Rewritten into slope form: y = mx + b
Find the slope when rewritten:
Move x to the right hand side of the equation. (Subtract)
x - x + 3y = 2 - x
3y = 2 - x
Divide both sides by 3:
y = 2/3 - 1/3x
Rearrange:
y = -1/3x + 2/3.
The slope is equivalent to -1/3.
What is the area of the circle shown below? 14 cm
Answer:
154cm squared
Step-by-step explanation:
determine the slope of the lines.
line 1: y=9
line 2: x=-3
are the slopes parallel, perpendicular, or neither?
What is the diameter of a sphere with a volume of 9409 in, to the nearest tenth of an inch?
Answer:
26.29 cu. in.
Step-by-step explanation:
what is the linear equation of a line that goes through (-8,4) and (6,-3)
Answer:
D
Step-by-step explanation:
Let's first find the slope.
y2-y1/x2-x1
-3-4/6--8
-7/14
-1/2
So it is D
Proportional means
Check ALL that apply.
*
same
equal
different
other
Answer:
promotional means same
hope it may help if it so please mark as brienlist
Find the equation of the line that passes through the given points. Write the equation in slope-intercept form.
(-2,-4) and (-4,-3)
Step-by-step explanation:
m=(y1-y)/(x1-x2)
m=(3-(-4))/(-4-(-2))
m=7/-2=-7/2
y=mx+c
y=-7/2x+c
7. -50 + 5 p 13
(p= -26)
will give 5 stars
-17.6
Because
50 + 5/13 x -26
50+2.6 x -26
50 + -67.6
-17.6
Calculate the height of a right circular cylinder with a surface area of 300 square inches and a radius of 5 inches. a. 2.45 inches c. 8.25 inches b. 4.55 inches d. 3.65 inches
Answer:
The height of the right circular cylinder is 4.55 inches ⇒ b
Step-by-step explanation:
The formula of the surface area of a right circular cylinder is
S.A = 2πrh + 2πr², where
r is its radiush is its height∵ The surface area of a right circular cylinder is 300 square inches
∴ S.A = 300 in.²
∵ Its radius is 5 inches
∴ r = 5 in.
∵ π = 3.14
→ Substitute them in the rule above
∵ 300 = 2(3.14)(5)(h) + 2(3.14)(5)²
∴ 300 = 31.4h + 157
→ Subtract 157 from both sides
∵ 300 - 157 = 31.4h + 157 - 157
∴ 143 = 31.4h
→ Divide both sides by 31.4
∵ 4.554140127 = h
∴ 4.55 = h
∴ The height of the right circular cylinder is 4.55 inches
Answer:
B.) 4.55
Step-by-step explanation:
Edge 2021
Ob babysits the kids next door every day after school for 1.5 hours. He earns $3.50 an hour. How much money will he earn in 6 weeks if school is in session 5 days a week the whole time? Show your work.
Answer:
$157.5
Step-by-step explanation:
Given that:
Number of hours worked after the school = 1.5 hours
Earnings per hour = $3.50
Earnings for one day or 1.5 hours = 1.5 \times 3.50 = $5.25
Earnings for 5 days or a week = Number of days [tex]\times[/tex] Earnings for 1.5 hours = 5 [tex]\times[/tex] 5.25 = $26.25
Number of weeks for which Ob works = 6
Total earnings in 6 weeks = Number of weeks [tex]\times[/tex] Earnings in one week = Number of weeks [tex]\times[/tex] Earnings in 5 days
Total earnings in 6 weeks = 6 [tex]\times[/tex] $26.25 = $157.5
Given a mean of 80 and a standard deviation of 3, label the normal curve below.
Answer:
The points from the left;
71, 74 , 77, 80, 83, 86 , 89
Step-by-step explanation:
Here, we want to label the normal curve given the mean and the standard deviation
From what we have, the central part is the mean while the other parts are deviations from the mean
We will label the graph starting from the left to the right
1 is 3 SD from the mean (negatively)
That will be 80-3(3) = 80-9 = 71
2 is 2 SD away
That will be;
80 -2(3) = 80-6 = 74
The 3rd part is 1 SD away
That will be 80-3 = 77
The midpoint is for the mean which is 80
The point after this will be;
80 + 3 = 83
The point after this will be;
83 + 3 = 86
Next is
86 + 3 = 89
For the lunch special at a high school cafeteria, students can get either salad or french fries as a side order. The following table shows the number of each side order for the lunch specials purchased on one day, classified by the grade of the student
Grade 9
Grade 10
Grade 11
Grade 12
Total
Salad
37
34
21
28
120
83
71
57
37
248
French fries
Total
120
105
78
65
368
From those who purchased the lunch special that day, one student will be selected at random. What is the probability that the student selected will be in grade 10 given that the student ordered
french fries as the side order?
A
71/368
B
105/368
C
71/245
D
245/308
Answer:
C 71/248
Step-by-step explanation:
College Board
The probability that the selected student will be be in grade 10 given that the student ordered French fries is 71/245
P(French fries n grade 10) = 71 Total who ordered French fries = 248The conditional probability can be defines thus :
Number in grade 10 who ordered French fries = 71Total number who ordered French fries = 245Hence,
P(grade 10 | French fries) = 71/245Learn more : https://brainly.com/question/18904995
If I have an acid with a pH of 5 and an acid with a pH of 3 which is stronger and by how much? 5, by 10 times
3, by 100 times
3, by 10 times
Answer:
3, by 100 times
Step-by-step explanation:
a pH of 3 is ten times more acidic than a pH of 4. Likewise, a pH of 3 is one hundred times more acidic than a pH of 5.
While on a business trip to Belleville, Cindy treated her co-workers to a meal that cost $2.86. Cindy knew that when the bill came, she would need to pay Belleville sales tax of 15% and would want to leave an 18% tip on the original $2.86. Including tax and tip, how much did Cindy's meal cost?
Answer:
i think about $3.80
Step-by-step explanation:
Write the ratio
2/3 /5
in simplest form
Answer:
A) 2/15
Step-by-step explanation:
So just divide it normally, do keep change flip
2/3*1/5
2/3 keep
divison change
Denomeinator, flip it, 5 to 1/5
now multiply
2/15