Given the cost of glass per square foot, the cost for the replacement of the triangular shaped window glass is 1826.77$.
What is a Triangle?A triangle is simply a polygon with three vertices, three side and three sides.
An equilateral triangle is of triangle with all its three sides equal in length.
There area of an equilateral triangle is expressed as;
A = (√3/4) × a²
Where a is the length of the sides.
Given the data in the question;
Length of the side of the equilateral triangle a = 15ftCost of glass per square foot C = $18.75 per ft²Cost of window replacement CoW = ?First we determine the area of the window which is in the shape of an equilateral triangle.
A = (√3/4) × a²
A = (√3/4) × (15ft)²
A = (√3/4) × 225ft²
A = 97.4279ft²
Now, cost of window replacement will be the area of the window multiplied by the cost of glass per square foot.
CoW = A × C
CoW = 97.4279ft² × $18.75 per ft²
CoW = 1826.77$
Therefore, given the cost of glass per square foot, the cost for the replacement of the triangular shaped window glass is 1826.77$.
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Enter the number of rows needed and the number of seats that will be left over.
Answer: 6.
Step-by-step explanation: The total number of seats is 328. There are 14 rows with 23 seats in each row. To solve this, we need to multiply the amount of rows with the amount of seats in each row, which would look like this:
14 x 23 = 322.
As you can see, there are only 322 seats. However, there are 328 seats in total, so there are 6 extra seats that aren't in a specific row. Therefore, there are 6 extra seats.
Hope this helps! :)
If it’s 1 pm what time will it be in 30 hours
Answer:
7pm
Step-by-step explanation:
1pm + 24 = 1pm
30 - 24. = 6
1pm + 6 = 7pm
Would like to know how to do this problem.
well it would be very helpful thank you
Lin’s family needs to travel 325 miles to reach her grandmother’s house. At 377 miles, what percentage of the trip’s distance have they completed?
None of these answer this question and I cant get it anywhere else
Answer:
325/377×100= 116% it means they completed 116%of the trip
Need help please!
1.) m varies directly as a and b; m=10 when a=4 and b=7. Find m when a=11 and b=8.
2.) q varies jointly as x and y. Find q when x=2 and y=5, given that q=90 when x=3 and y=5.
3.) F varies jointly as x and y. If F=1 when x=1/2 and y=1/3, find F when x=2 and y=3.
4.) Let x be proportional to p and q^2, and inversely proportional to r^3. If x=9 when p=4, q=9, and r=3, find x if p=6, q=2, and r=5.
Answer:
4) v=kx^2/y^3
2= k(4^2)/(3^3)
2 =k16/27
k = 2(27/16) = 27/8
v = (27/8)(3^2)/(2^3 = (27/8)(9/8) = 243/64
v = 243/64 when x=3 and y=2
Step-by-step explanation:
here
F varies jointly as x and y and the value of x is 3 and y is 2.
We have given that,
1.) m varies directly as a and b m=10 when a=4 and b=7. Find m when a=11 and b=8.
What is the formula?v=kx^2/y^3
2= k(4^2)/(3^3)
2 =k(16/27)
k = 2(27/16)
k = 27/8
v = (27/8)(3^2)/(2^3)
= (27/8)(9/8)
= 243/64
v = 243/64 when x=3 and y=2.
Therefore we get the value of x is 3 and y is 2.
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1. A group of 34 women sells at least one of the following foodstuffs: yam, maize and plantain. Of those, 22 sell yam, 14 sell maize, 18 sell plantain, 7 sell both yam and maize, 9 sell yam and plantain and no one sells all three items.
i. Draw a Venn diagram to illustrate this information
ii. Find the number who sell maize aiind plantain
iii. What is the probability that a woman selected at random from the group sells plantain only?
Please see Explanation
Step-by-step explanation:[tex]a)\ As\ shown\ in\ the\ figure.[/tex]
[tex]b)\ According\ the\ picutre,[/tex]
[tex]we\ know\ only\ 3\ people[/tex]
[tex]sell\ maize\ and\ 5\ people\ sell\ plantain.[/tex]
I hope this helps you
:)
The 3 people sell only maize, 5 people sell only plantain and 4 people sell maize and plantain and the probability that a woman selected at random from the group sells plantain only is 0.147.
It is given that a group of 34 women sells at least one of the following foodstuffs: yam, maize, and plantain.
22 sell yam, 14 sell maize, 18 sell plantain, 7 sell both yam and maize, 9 sell yam and plantain, and no one sells all three items
What is the Venn diagram?It is defined as the diagram that shows a logical relation between sets.
The Venn diagram consists of circles to show the logical relation.
i) Venn diagram is shown in the picture below:
ii) As per the picture 3 people sell only maize, 5 people sell only plantain
and 4 people sell maize and plantain.
iii) Total number of women in the group = 34
The number of women who sells plantain = 5
We know the probability = [tex]\rm \frac{favorable \ event}{total \ outcome}[/tex]
Probability [tex]=\frac{5}{34} \\\\\\= 0.147\\[/tex]
Thus, the 3 people sell only maize, 5 people sell only plantain
and 4 people sell maize and plantain and the probability that a woman selected at random from the group sells plantain only is 0.147.
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Simplify cos^4x+2cos^2xsin^2x+sin^4x
Answer: 1
Step-by-step explanation:
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
BC = 11
hope it helps...!!!
Answer:
x = 11
BC = 48
Step-by-step explanation:
11 + 37 = 48 and 4(11) + 4 = 48 and since they are both being multiplied by 11 in place of the x, that makes it congruent. BC is 48 because 11 + 37 = 48. hope it makes sense
→ 12 cm.
3,5cm.
16cm.
>3.5cm.
Find the total
Volume.
Can someone please help me
Answer:
Step-by-step explanation:
CONE:
height of cone = h = 12 cm
r =3.5 cm
[tex]Volume \ of \ cone =\dfrac{1}{3}\pi r^{2}h[/tex]
[tex]=\dfrac{1}{3}*\dfrac{22}{7}*3.5*3.5*12\\\\\\=22*0.5*3.5*4\\\\= 154 \ cm^{3}[/tex]
Cylinder:
h = 16 cm
r = 3.5 cm
[tex]Volume \ of \ cylinder = \pi r^{2}h\\[/tex]
[tex]= \dfrac{22}{7}*3.5*3.5*16\\\\\\= 22*0.5*3.5*16\\\\= 616 \ cm^{3}[/tex]
Total volume = 154 + 616
= 770 cm³
What is the Area of this shape?
Answer:
448 ft ^2
Step-by-step explanation:
[tex]A = \frac{b_{1} + b_{2}}{2} * h\\A = \frac{17 + 39}{2} * 16\\A = \frac{56}{2} * 16\\\\A = 28 * 16\\\\A = 448 ft^{2}[/tex]
Hope this helps,
If best, mark brainliest, if not, hope it helps anyway.
A line passes through ( – 8,6) and ( – 2, 3).
Find the y-intercept, b, of the line.
Answer:
[tex]\displaystyle [0, 2][/tex]
Step-by-step explanation:
First, find the rate of change [slopes]:
[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-6 + 3}{8 - 2} = m; \frac{-3}{6} \\ \\ -\frac{1}{2} = m[/tex]
We now plug the above information into the Slope-Intercept Formula. It does not matter which ordered pair is selected:
[tex]\displaystyle y = mx + b \\ \\ 3 = -\frac{1}{2}[-2] + b \hookrightarrow 3 = 1 + b; \boxed{2 = b} \\ \\ y = -\frac{1}{2}x + 2[/tex]
OR
[tex]\displaystyle y = mx + b \\ \\ 6 = -\frac{1}{2}[-8] + b \hookrightarrow 6 = 4 + b; \boxed{2 = b} \\ \\ y = -\frac{1}{2}x + 2[/tex]
Therefore, the line passes through the y-intercept of [tex]\displaystyle [0, 2].[/tex]
I am joyous to assist you at any time.
Find the roots of p(x)=x^3-10x^2+25
Answer:
{−1.47596288535, 1.73968983949, 9.73627304586}
Step-by-step explanation:
The roots of this cubic are real and irrational, as indicated by a graph of it. (Rational roots would be divisors of 25.) The same graphing calculator can provide an iterative solution to 12 significant figures. Here, we have used Newton's method iteration. The iteration function is ...
g(x) = x -p(x)/p'(x) . . . where p'(x) is the derivative: 3x^2-20x
We started each iteration using the value shown on the graph.
x ∈ {−1.47596288535, 1.73968983949, 9.73627304586}
__
The second attachment shows another calculator's solution. The values of x that are roots are the opposite of the constant in each binomial factor. You will notice this solution has a couple more significant figures than the one shown above.
__
Additional comment
There are several formulas for finding the "exact" roots of the cubic. Here's a trig approach that works reasonably well for cubics with 2 or 3 real roots.
We can define, for p(x) = x³ +ax² +bx +c, ...
s = -a/3 = 10/3
t = b -a²/3 = -100/3
r = a(2a² -9b)/27 +c = -10(200)/27 +25 = -1325/27
d = √(-4t/3) = √(400/9) = 20/3
h = 4r/d³ = -53/80
Now, the roots are ...
x = s +d·sin(arcsin(h)/3 +2nπ/3) . . . . for n=-1, 0, 1
= 10/3 +20/3·sin(arcsin(-53/80)/3 + n(2π/3)) . . . . . "exact solution"
= (10/3)(1 +2·sin(-13.8303° +n(120°))
= -1.47596..., or 1.73969..., or 9.73627...
MATH Arithmetic QUESTION
Answer:
Point A
Step-by-step explanation:
It can be seen from the image that the chosen value for N is greater than zero but less than 1, i.e,
[tex]0 < n < 1[/tex]
The square of such numbers will always result values less than N since they're decimals with zeroes on the whole number parts.
Hence, the value for N squared will be in the region of Point A.
A computer and printer cost a total of $1101. The cost of the computer is two times the cost of the printer. Find the cost of each item.
Cost of computer:
Cost of printer:
Answer:
Cost of Computer: $734
Cost of Printer: $367
Step-by-step explanation:
These two equations can represent the costs; x = price of computer; y = price of printer.
x + y = 1101
2y = x
If you graph these, you get an intersection point of (734, 367). This means that the only place that both equations are fulfilled is on (734, 367).
Then you can check your work:
734+367=1101
367*2=734
The function h(x) is a transformation of the square root parent function,
f(x) = V. What function is h(x)?
Answer:
Step-by-step explanation:A. h(x) = √(x-2)
Step-by-step explanation:
To translate a function right by p units and up by q units, the function becomes ...
g(x) = f(x -p) +q
Here, there is no translation upward, but there is a translation of 2 units to the right. The transformed function's name is given as h (not g), so you have ...
(p, q) = (2, 0)
h(x) = f(x -2) +0
h(x) = √(x -2)
The function h(x) , a transformation of the parent function f(x) = √x is √(x+1). Option A is correct option.
What is transformation of a function?The transformation of the function is a function that curves a graph formed by the moving the original graph to left / right / up / down or by expansion or compression.
The transformation is of type horizontal shift when the curve moves to left or right. For y = f(x) , when this curve moves left or right the transformation is given by y = f(x +c), c > 0 moves y=f(x) to the left by c units
and if c < 0 , moves y =f(x) to the right by c units
Given that the graph of the f(x) = √x by dotted line and the graph of its transformation h(x) given by solid line.
h(x) is clearly formed by moving f(x) one units to the left as it is moved to left by 1 on origin
Then transformation of y =f(x) moving one unit to left will be given by
y = f(x+1) =√(x+1)
Therefore , transformation h(x) of f(x) is h(x) =√(x+1) and option A is correct option.
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Jenny brought an antique vase for $ 120 and advertises to sell it at a profit of 35% calculate the selling cost
35% of 120 is :
120 x 0.35 = 42 $ profit
selling cost 120+42=162$
5 divided by 62.55 need help asap due today and also i cant watch ads
HELP ITS FOR RIGHT NOW!!!!!
You are building a tabletop. You will use the plan shown, except that you will make all dimensions 2 1/2 time as large. What will be the area of your tabletop?
Answer:
109.375
Step-by-step explanation:
We need to multiply all of the lengths and widths by 2 1/2 in order to make the dimensions 2 1/2 times larger.
For length:
[tex]5\frac{1}{4}[/tex] x [tex]2\frac{1}{2}[/tex] = 13.125 or [tex]13\frac{1}{8}[/tex]
For width:
[tex]3\frac{1}{3}[/tex] x [tex]2\frac{1}{2}[/tex] = 8.333 or [tex]8\frac{1}{3}[/tex]
Then to find the area use the equation:
A = l x w (Area = length x width)
And plug in the values:
A = [tex]13\frac{1}{8}[/tex] x [tex]8\frac{1}{3}[/tex] = [tex]\frac{875}{8}[/tex] or [tex]109\frac{3}{8}[/tex] or 109.375
Find the coordinates that partitions (-8,-2) and (6, 19) with the ration 5:2
Step-by-step explanation:
Using the section formula , if a point ( x , y ) divides the line joining the points ( x1 , y1 ) and ( x2 , y2 ) into the ratio m : n , then
( x , y ) = ( mx2 + nx1 / m + n , my2 + ny1 / m + n)
Let the points be A(-8,−2) and B(6,19). Let a point P(x,y) divides AB in the ratio 5:2
Therefore, we have
[tex]P(x,y) =( \frac{5 \times 6 + 2 \times - 8}{5 + 2} , \: \frac{5 \times 19 + 2 \times - 2}{5 + 2}) [/tex]
[tex]P(x,y) = ( \frac{30 + ( - 16)}{7} , \: \frac{95 + ( - 4)}{7} )[/tex]
[tex] P(x,y) = (2, 13)[/tex]
Answer:
(2, 13)
Step-by-step explanation:
Let P be the point that partitions the segment.
Let M = (-8, -2)
Let N = (6, 19)
If point P partitions the segment MN in a 5 : 2 ratio, then to calculate the x and y values of point P:
divide the difference of the x (or y) values of the two endpoints by the sum of the ratiosmultiply this by 5, since P partitions the segment at 5 : 2add this to the x (or y) value of point Mx-value of P:
[tex]\sf \implies \left(\dfrac{x_N-x_M}{5+2}\right)\cdot5+x_N[/tex]
[tex]\sf \implies \left(\dfrac{6-(-8)}{5+2}\right)\cdot5+(-8)=2[/tex]
y-value of P:
[tex]\sf \implies \left(\dfrac{y_N-y_M}{5+2}\right)\cdot5+y_N[/tex]
[tex]\sf \implies \left(\dfrac{19-(-2)}{5+2}\right)\cdot5+(-2)=13[/tex]
[tex]\sf P=(2,13)[/tex]
In two or more complete sentences, compare the number of x-intercepts in the graph of f(x)=x2 to the number of x-intercepts in the graph of g(x)= (x+2)2 -7
the figure represent 7/9 0f a full circle Find the measure of the marked central angle
Step-by-step explanation:
tbh I don't know I need help with that too please like this comment
The measure of the marked central angle of the sector will be 280°.
What is the arc length of the sector?Let r is the radius of the sector and θ be the angle subtended by the sector at the center. Then the arc length of the sector of the circle will be
Arc = (θ/2π) 2πr
The figure addresses 7/9 of a complete circle. Then the arc length of the circle will be given as,
Arc / P = 7/9
Simplify the equation, then we have
(θ/2π) 2πr / 2πr = 7/9
θ/2π = 7/9
θ = 14π / 9
θ = 280°
The central angle of the sector will be 280°.
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In the diagram below, what kind of line is BF relative to ABC?
Line BF is one of the three angle bisectors that meet at point F (incenter), hence, line BF as it relates to ABC is called the: interior angle bisector.
What is an Interior Angle Bisector?An interior angle bisector can be described as the line segment that divides an interior angle into two halves.
When the three interior angle bisector of a triangle meet at a point, the point is referred to a the incenter.
The diagram guven shows the incenter where the three interior angle bisectors meet.
Therefore, line BF as it relates to ABc is called the: interior angle bisector.
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In the past year, Jose watched 32 movies that he thought were very good. He watched 80 movies over the whole year. Of the movies he watched, what percentage did he rate as very good?
Answer:
40%
Step-by-step explanation:
Givens and Formula
% Good = (number good / total number) * 100
% Good = ?
Number Good = 32
Total Number = 80
Solution
% Good = (32 / 80) * 100
% Good = 2/5 * 100
% Good = 40%
1. Determine the correlation coefficient for the following data.
4 8 10 9 11 6
y 1.6 2.4 2.0 2.6 2.1 2.2
Х
Answer:
mm what's that?
Step-by-step explanation:
wala akong pake char
help for 40 points and brainliest
[tex]\sf 2^{-6}[/tex]
these two options apply
[tex]\rightarrow \sf \dfrac{1}{2^6}[/tex]
[tex]\rightarrow \sf 2^{-2} \ * \ 2^4 \ * \ 2^{-8}[/tex]
in decimals : 0.015625
Answer:
Option C and D
Step-by-step explanation:
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
Example:
If the given exponent is a⁻ᵇ, then the result will be 1/aᵇ.
This exponent includes a negative sign. To make the exponent positive, take the exponent's reciprocal and change the negative sign to a positive sign. The same will be done to the given expression.
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
First, take the exponent's reciprocal as said above.
⇒ [tex]2^{-6}[/tex]
⇒ [tex]\frac{1}{2^{-6} }[/tex]
Now, change the exponent's sign.
⇒ [tex]\frac{1}{2^{-6} }[/tex]
⇒ [tex]\frac{1}{2^{6} }[/tex]
Now, simplify the term.
⇒ [tex]\frac{1}{2^{6} }[/tex]
⇒ [tex]\frac{1}{2 \times 2 \times 2 \times 2 \times 2 \times 2} }[/tex]
⇒ [tex]\frac{1}{8 \times 8}[/tex]
⇒ [tex]\frac{1}{64}[/tex]
Using the simplified result we obtained, let's verify all the options to see which is equivalent to the term.
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
A)------------------------------------------------------------------------------------------------------
Keep in mind that the exponent is the number of times the base needs to multiply itself.
[tex]-2^{6} \rightarrow -2 \times -2 \times -2 \times -2 \times -2 \times -2[/tex]
NOTE: If there are even number of "-", then the result should be positive. If there are odd number of "-", then the result should be negative.
[tex]-2 \times -2 \times -2 \times -2 \times -2 \times -2[/tex]
⇒ [tex]2 \times 2 \times 2 \times 2 \times 2 \times 2[/tex]
⇒ [tex]64[/tex]
[tex]-2^{6} = 64 \neq \frac{1}{64}[/tex]
B)------------------------------------------------------------------------------------------------------
Since -64 is already a simplified term, we can compare this with the simplified result.
[tex]-64 \neq \frac{1}{64}[/tex]
C)------------------------------------------------------------------------------------------------------
[tex]\frac{1}{2^{6}}[/tex]
⇒ [tex]\frac{1}{2 \times 2 \times 2 \times 2 \times 2 \times 2 }[/tex]
⇒ [tex]\frac{1}{8 \times 8 }[/tex]
⇒ [tex]\frac{1}{64}[/tex]
[tex]\frac{1}{2^{6} } = \frac{1}{64} = \frac{1}{64}[/tex]
D)------------------------------------------------------------------------------------------------------
[tex]2^{-2} \times 2^{4} \times 2^{-8}[/tex]
⇒ [tex]\frac{1}{2^{2}} } \times 16 \times \frac{1}{2^{8} }[/tex]
⇒ [tex]\frac{1}{4} \times 16 \times \frac{1}{256}[/tex]
⇒ [tex]\frac{1}{4} \times 1 \times \frac{1}{16}[/tex] [16² = 256]
⇒ [tex]\frac{1}{4} \times \frac{1}{16}[/tex]
⇒ [tex]\frac{1}{64}[/tex]
[tex]2^{-2} \times 2^{4} \times 2^{-8} = \frac{1}{64} = \frac{1}{64}[/tex]
E)------------------------------------------------------------------------------------------------------
[tex]2^{3} \times 2^{-2}[/tex]
⇒ [tex]2^{3 - 2}[/tex]
⇒ [tex]2^{1} = 2[/tex]
[tex]2^{3} \times 2^{-2} = 2 \neq \frac{1}{64}[/tex]
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
Find the missing endpoint given one endpoint and the midpoint of a line segment. The midpoint of line segment AB is (2,-5) If the coordinates of a point A are (4,4), what are the coordinates of B
Answer:
(0, -14)
Step-by-step explanation:
Midpoint formula: [tex](x_m, y_m) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )[/tex]
Substitute known value: [tex](2, -5) = (\frac{4 + x_2}{2} ,\frac{4+y_2}{2} )[/tex]Find [tex]x_2[/tex] : [tex]2 = \frac{4+x_2}{2}[/tex] >> [tex]4 = 4 +x_2[/tex] >> [tex]0 = x_2[/tex] Find [tex]y_2[/tex] : [tex]-5 = \frac{4+y_2}{2}[/tex] >> [tex]-10 = 4 + y_2[/tex] >> [tex]-14 = y_2[/tex]Gabrielle is 15 years older than Mikhail. The sum of their ages is 81. What is Mikhail's age?
Answer:
33
Step-by-step explanation:
let g be Gabrielle age
m be mikhail age.
So according to this problem,
[tex]g + m = 81[/tex]
[tex]m + 15 = g[/tex]
Subsitue m+15 for g.
[tex](m + 15) + m = 81[/tex]
[tex]2m + 15 = 81[/tex]
[tex]2m = 66[/tex]
[tex]m = 33[/tex]
So mikhail age is 33.
What is the range of this data set?
36.6, 39.8, 33.3, 34.8, 35.8, 39.6, 36.7, 36.9, 37.5, 32.2, 33.1, 33.3
Answer:
Step-by-step explanation:
39.8 - 32.2 = 7.6
Range is subtracting the highest and lowest numbers by each other .
Based on the calculations, the range for this data set is equal to 7.6.
What is a range?In Mathematics, a range can be defined as the difference between the highest number and the lowest number contained in a data set.
Mathematically, range is calculated by using this formula;
Range = Highest number - Lowest number
From the given data set, we have:
Highest number = 39.8.Lowest number = 32.2.Substituting the given parameters into the formula, we have;
Range = 39.8 - 32.2
Range = 7.6.
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7 – (5t - 13) = -25
i need help with this question
Answer:
t=9
Step-by-step explanation:
Solve -
Distribute :7-(5t - 13) = - 25
7 - 5t + 13 = - 25
Add the numbers :7 – 57 + 13 = -25
20-51 = -25
Rearrange terms :20-51 = -25
-51+ 20 = -25
Subtract 20 from both sides :-51 + 20 = -25
-51+20-20-25-20
Simplify :Subtract the numbers
-51+ 20-20-25-20
-5:=-25-20
Subtract the numbers
-51 = -25-20
-51 = -45
-51 = -45
Divide both sides by the same factor : -51 = -45 -5t -5 -45- -5 =
Simplify : Cancel terms that are in both the numerator and denominator :: -5t - = -45 - -5
t = - 45 - -5
Divide the numbers :
t = - 45 - -5 ” t=9 ” here’s the answer
How many terms are in the expression? 9a + 6b + 3c + 1 A) 1 B) 2 C) 3 D) 4
Answer:
D.) there is 9a and 6b ,3c and 1 thats four different terms
Step-by-step explanation:
Have a nice day! :D