Answer:
4 1/8
Step-by-step explanation:
subtracting a whole number with a fraction just means I have to change one of the numbers so they match with the other.
meaning I should change the whole number 5 to a fraction.
I will use the bottom number to figure out what the fraction in the whole number should look like.
5 = 5/1
I want the bottom number to be 8 like the other fraction 7/8
I multiply the top and bottom number of 5/1 by 8, giving me
40/8
now I subtract 40/8-7/8 = 33/8 or 4 and 1/8
what is the slope of a line parallel to the line whose equation is 2x + y = 3?
Step-by-step explanation:
Here is the answer to the question
Answer:
-2/1
Step-by-step explanation:
Rewrite equation in point-slope form
y=-2x+3
in y=mx+b, m= the slope
The slope of the line is -2/1
Any lines parallel to this line will have the same slope
5-2(a+3b)/2 When a=4 and b=1.
Hello macelynn190!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
[tex] \huge \tt \frac{5 - 2(a + 3b)}{2} [/tex]
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
To solve this question we need to substitute the given values of 'a' & 'b' in the equation & then simplify it.
Given,
a = 4b = 1Now, substitute this in the place of 'a' & 'b'..
[tex]\large \tt \frac{5 - 2(a + 3b)}{2} \\ = \large \underline{\underline{\tt \: \frac{5 - 2((4) + 3(1))}{2} }}[/tex]
Lastly, simplify it...
[tex]\large \tt \: \frac{5 - 2((4) + 3(1))}{2} \\ = \large \tt\frac{5 - 2(4 + 3)}{2} \\ = \large \tt \: \frac{5 - 2(7)}{2} \\ = \large \tt \: \frac{5 - 14}{2} \\ = \large \tt\frac{-9}{2} \\ = \large \boxed{\boxed{ \bf \: -\frac{9}{2}=-4.5}}[/tex]
The answer is -9/2 or -4.5__________________
Hope it'll help you!
ℓu¢αzz ッ
Given info:-
Simplify: 5-2(a+3b)/2. When a=4 and b=1.
[5-2(a+3b)]/2
Now, put a=4 and b=1 (Because this is given in question only)
so,
⇛[5-2{4+3(1)}]/2
⇛[5-2{4+3}]/2
⇛[5-2{7}]/2
⇛[5-2×7]/2
⇛[5-14]/2
⇛-9/2 Ans.
Similar questions:
Evaluate -[-1⅘ ÷ 0.3(1.2)] - 5/6
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find the midpoimt of the line segment between the points (4,-7) and (12, -1)
a. (8, -4)
b. (4, -3)
c. (16, -4)
d. (4, -4)
The midpoint is the middle of the line. Thus for a line segment, it is finding the halfway point between the x and y values.
Midpoint = ( [¹/₂ (x₁ + x₂)] , [¹/₂(y₁ + y₂)])
∴ for a line segments with endpoints (4,-7) and (12, -1),
Midpoint = ( [¹/₂ (12 + 4)] , [¹/₂(-7 - 1)])
= ( [¹/₂ (16)] , [¹/₂(-8)])
= (8, -4) (OPTION A)
the cost is 15,000.00 and a markup of 90%
help plez :)
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show)
Answer:
x = 12.2 mi
Step-by-step explanation:
Given the two sides of the right triangle:
a = 6.1 mi
b = 10.6 mi
c = x
Use the Pythagorean Theorem to solve for the value of the hypotenuse, x:
c² = a² + b²
c² = (6.1)² + (10.6)²
[tex]\sqrt{(c^{2})} = \sqrt{37.21 + 112.36}[/tex]
c = 12.2 mi
Therefore, the value of the hypotenuse is: x = 12.2 mi
___________
[tex] \: [/tex]
[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]
Step by step :x² = (10,6)² + (6,1)²
x² = 112,36 + 37,21
x² = 149,57
x = 12,22mi✔
His new employer has offered Malcom Davis a choice of profit-sharing plans. For Plan A, he can receive 1/90 of the company’s gross income. For Plan B, he can receive 1/60 of the company’s profit. Gross income is the total amount the company takes in. Profit is the difference of the gross income and expenses. The company’s expenses for one month are $100,000.
A) Write an equation for finding the gross income that would give Malcom Davis the same amount of money with either plan.
B) Solve the equation from Exercise A and interpret the solution.
C) How much would Malcom Davis receive when the two plans are the same?
D) If the gross income of the company is less than the amount from Part B, which plan would be better for Malcom Davis? Show work to support your answer.
Malcom Davis earnings is an illustration of equations and proportions.
The equation is: [tex]\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}[/tex]The gross income must be $300000, for Dave to earn the same amount with either plan.His earning is $3333.33 when the plans are the same.Let the profit be P, and the gross income be G.
So, we have:
[tex]\mathbf{P= G - 100000}[/tex]
(a) The equations
For plan A, we have:
[tex]\mathbf{A = \frac{1}{90}G}[/tex] ----1/90 of the company's gross income
For plan B, we have:
[tex]\mathbf{B = \frac{1}{60}P}[/tex] ----1/90 of the company's profit
When both are the same, we have:
[tex]\mathbf{A= B}[/tex]
This gives
[tex]\mathbf{\frac{1}{90}G= \frac{1}{60}P}[/tex]
Substitute [tex]\mathbf{P= G - 100000}[/tex]
[tex]\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}[/tex]
Hence, the equation is: [tex]\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}[/tex]
(b) Solve the equation in (a), and intepret
[tex]\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}[/tex]
Cross multiply
[tex]\mathbf{60G = 90G - 9000 000}[/tex]
Collect like terms
[tex]\mathbf{90G - 60G = 9000 000}[/tex]
[tex]\mathbf{30G = 9000 000}[/tex]
Divide both sides by 30
[tex]\mathbf{G = 3000 00}[/tex]
The gross income must be $300000, for Dave to earn the same amount with either plan.
(c) His earnings based on (c)
We have:
[tex]\mathbf{A = \frac{1}{90}G}[/tex]
Substitute [tex]\mathbf{G = 3000 00}[/tex]
[tex]\mathbf{A = \frac{1}{90} \times 300000}[/tex]
[tex]\mathbf{A = 3333.33}[/tex]
His earning is $3333.33 when the plans are the same
(d) If the gross income in less than (b)
If the gross income is less than $300,000, then plan A would better for Malcom Davis, because his earnings in plan A would be greater than plan B
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Solving quadratic equation by Factorization
[tex]10x {}^{2} - x = 2[/tex]
Help me pleasee
[tex]x = - \frac{2}{5} \\ x = \frac{1}{2} \\ \\ \\ hope \: \: it \: \: helps \: \\ \\ see \: \: the \: \: attachment[/tex]
help what is the answer to this'
Answer:
Your answer is x [tex]\geq[/tex] 77
Step-by-step explanation:
[tex]\frac{x}{7} \geq 8+3[/tex]
[tex]\frac{x}{7} \geq 11[/tex]
[tex]\frac{x}{7 } * 7 \geq 11*7[/tex]
[tex]x \geq 77[/tex]
Hope this helps!
Help help help help help help help
9514 1404 393
Answer:
1400 in 2020
Step-by-step explanation:
The number of students is increasing by 100 each year, so in 3 more years, the number will be 1100 +3×100 = 1400 students in 2020.
SOLVE FOR X ILL GIVE BRAINILEST
Answer:
x = -4
Explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x = -4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
[tex](-2)(3x)+(-2)(-4)-x-3=33[/tex] [tex]-6x +8 - x - 3 = 33[/tex] [tex](-6x-x)+(8-3)=33[/tex] [tex]-7x + 5 = 33[/tex]Step 2: Subtract 5 from both sides.
[tex]-7x + 5 - 5 = 33 - 5[/tex] [tex]-7x = 28[/tex]Step 3: Divide both sides by -7.
[tex]\frac{-7x}{-7} =\frac{28}{-7}[/tex] [tex]x = -4[/tex]Step 4: Check if solution is correct.
[tex]-2(3(-4)-4)- (-4)-3=33[/tex] [tex]-2(-12-4)+4-3=33[/tex] [tex](-2)(-12)+(-2)(-4)+4-3=33[/tex] [tex]24 + 8 + 4 - 3 = 33[/tex] [tex]32 + 4 - 3 = 33[/tex] [tex]36 - 3 = 33[/tex] [tex]33 = 33[/tex]Therefore, x = -4.
Enrollment at a golf academy has grown exponentially since the academy opened. A graph depicting this growth is shown. Determine the percentage rate of growth.An exponential graph has Time in Years on the x-axis and Enrollments on the y axis. A curve that rises from left to right begins at zero comma fifteen and passes through four comma seventy-five.a. 1.5%b. 5%c. 50%d. 0.5%
Applying the points given, it is found that the growth rate of the exponential function is:
c. 50%
An exponential function has the following format:
[tex]y = a(1 + r)^x[/tex]
In which:
a is the initial value, that is, the value of y when x = 0.r is the growth rate, as a decimal.In this problem:
The curve begins at (0,15), thus a = 15.It passes through (4, 75), which means that when [tex]x = 4, y = 75[/tex], and this is used to find r.[tex]y = a(1 + r)^x[/tex]
[tex]75 = 15(1 + r)^4[/tex]
[tex](1 + r)^4 = 5[/tex]
[tex]\sqrt[4]{(1 + r)^4} = \sqrt[4]{5}[/tex]
[tex]1 + r = 1.4953[/tex]
[tex]r = 1.4953 - 1[/tex]
[tex]r = 0.4953[/tex]
Thus, approximately 50%, option c.
A similar problem is given at https://brainly.com/question/23416643
Answer:
50% is the correct answer
Step-by-step explanation:
I took the test.
HELP ASAP NOW LIKE NOW
Consider cashiers and people who line up for the cashiers in a supermarket, in how many ways can 3 people line up for 3 cashiers
The total number of ways in which the 3 people line up for the 3 cashiers is 36 ways.
First, we consider the number of ways in which we can arrange the 3 cashiers. Since order matters, we use permutation. So, we have ³P₃ ways of arranging the 3 cashiers. ³P₃ = 3 × 2 × 1 = 6 ways.
Also, the number of ways we can arrange the 3 people to line up since order matters is ³P₃ = 3 × 2 × 1 = 6 ways.
So, the total number of ways in which we can arrange both the 3 cashiers and the 3 people in a line is ³P₃ × ³P₃ = 6 × 6 = 36 ways.
The total number of ways in which the 3 people line up for the 3 cashiers is 36 ways.
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Answer:
60 ways
Step-by-step explanation:
So, sadly there is no real algorithm that I could find for this so I just went ahead and listed all the ways that the people can be organized
3,0,0
0,3,0
0,0,3
2,1,0
2,0,1
1,2,0
1,0,2
0,2,1
0,1,2
1,1,1
So, we have 10 ways to organize them. But we need to remember that there are also 6 ways to randomly organize 3 people. So, 10x6 is 60
Solve for x.
(x÷2)+6=50
x = 22
x = 28
x = 38
x = 88
The answer is x = 88
You and a group of friends went out to eat at Red Lobster. Your bill came to $89.75. You gave the waitress a 28% tip. What is the total bill including the tip?
Answer:
tip total = $25.13
total(bill+tip) = $114.88
equivalent equation to 3/50-x/50=7/50
Answer:
x=-4
Step-by-step explanation:
Multiply both sides by 50 and you get
3-x =7,
so x= -4
If 20 apples cost N300 how many apples can be bought for N1875
Answer:
28125
Step-by-step explanation:
300÷20=15
15×1875=28125
Select the equation that contains the points, (-2,-2) and (4, 10).
O y+6=-2(x+1)
O y+2 = 6(x+6)
O None of the other answers are correct
O y-6= 2(x-2)
O y-6=-2(x - 2)
A carpenter bought a piece of wood that was 0.54 meters long. Then he sawed 0.39 meters off the end. How long is the piece of wood now?
Answer:
Simply substract 0.39 from 0.54 = 0.15
Therefore the carpenter is left with 0.5 metre of wood.
What is the equation for the line that is parallel to the x-axis and passes through the point (5, -2)?
Answer:
y = -2
Step-by-step explanation:
What is the equation of the line parallel to the line with the equation −x+3y=−3
that passes through the point (1, –6)
Answer:
y = 1/3x - 19/3
Step-by-step explanation:
3y = x -3
y = 1/3x -3
Slope = 1/3
Point= (1,-6)
y-intercept = -6 - (1/3)(1) = -6 - 1/3 = -19/3
Find the slope, m, and y-intercept, b, for the graph of the linear equation represented by the table below.
Answer:
y = -3x - 2
Step-by-step explanation:
M: -3
B: -2
6x² +12x²y + 6xy² chỉ tui đi
Answer:
6x(x+2xy+y^2)
Step-by-step explanation:
i need all of the answers THANK UU
1. C because 3×3=9
9×3=27
27×3=81.....
2. Answer is C explaination in picture number 2
3. D explaination in picture number 1
Using the slope formula, find the slope of the line through the given points.
(1,6) and (3,4)
Maria stated that 5/6 is between 4/5 and 6/7
Answer:
It's true, if that's what your asking.
Step-by-step explanation:
5/6 = 0.833 to 3 sig.fig.
4/5 = 0.800 to 3 sig.fig.
6/7 = 0.857 to 3 sig.fig.
0.833 is more than 0.800 and less than 0.857.
12. The function t = 19m + 65 represents the temperature t (in degrees Fahrenheit)
of an oven after preheating for m minutes.
The temperature in Fahrenheit after preheating for 2 minutes is 103⁰F
The question looks incomplete but we can as well find the temperature in Fahrenheit after preheating for 2 minutes
Give the function t = 19m + 65 that represents the temperature t (in degrees Fahrenheit) of an oven after preheating for m minutes.
If t = 2,
t = 19(2) + 65
t = 38 + 65
t = 103⁰F
Hence the temperature in Fahrenheit after preheating for 2 minutes is 103⁰F
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In ΔBCD, \text{m}\angle B = (5x+14)^{\circ}m∠B=(5x+14)
∘
, \text{m}\angle C = (x+19)^{\circ}m∠C=(x+19)
∘
, and \text{m}\angle D = (2x+19)^{\circ}m∠D=(2x+19)
∘
. What is the value of x?x?
Answer:
x = 16
Step-by-step explanation:
m<B+m<C+m<D = 180°
5x + 14 + x + 19 + 2x + 19 = 180
8x + 52 = 180
8x = 180 - 52
x = 128/8
x = 16
convert the equation 2x - 4y = 16 to slope intercept form
Answer:
y = 1/2x -4
Step-by-step explanation:
Slope intercept form is y = mx+b where m is the slope and b is the y intercept
2x-4y = 16
Subtract 2x from each side
2x-4y-2x = -2x+16
-4y =-2x+16
Divide each side by -4
-4y/-4 = -2x/-4 +16/-4
y = 1/2x -4
The slope is 1/2 and the y intercept is -4
Solve pls
6(n-4)=3n
Find the value of y that will make these two triangles congruent:
Answer:
5
Step-by-step explanation:
if the triangles are congruent then the side lengths must be equal:
JL=PM
PN=LK
NM=JK and
4y + 12 = 32 subtract 12 from both sides
4y = 20 divide both sides by 4
y = 5