Answers
Answer:
Step-by-step explanation:
180-78=102
102÷2=51
E=51
Related Questions
Copy the problems onto your paper, mark the givens and prove the statements asked.
Given ∠E ≅ ∠T, M − midpoint of TE Prove: MI ≅ MR
Answers
MI ≅ MR proved by using ASA postulate of congruence
Step-by-step explanation:
Let us revise the cases of congruence
SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and including angle in the 2nd Δ ASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅ 2 angles and the side whose joining them in the 2nd Δ AAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles and one side in the 2nd Δ HL ⇒ hypotenuse leg of the 1st right Δ ≅ hypotenuse leg of the 2nd right Δ∵ M is the mid-point of TE
∴ MT = ME
In Δs TMI and EMR
∵ ∠T ≅ ∠E ⇒ given
∵ ∠TMI ≅ EMR ⇒ vertical opposite angles
∵ MT = ME ⇒ proved
∴ Δ TMI ≅ ΔEMR by ASA postulate of congruence
- From congruence, corresponding sides are equal
∴ MI ≅ MR
MI ≅ MR proved by using ASA postulate of congruence
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The question is about a geometry proof related to congruent angles and midpoints, but additional information is needed to provide a specific solution.
Explanation:The question appears to be a geometry proof involving congruent angles and midpoints. The goal is to prove that two line segments MI and MR are congruent given ∠E ≅ ∠T, and M is the midpoint of TE.
To prove this, one would need to provide more information about the points I and R, such as their positions relative to point E, T, and M.
Without this additional information, it is difficult to give a specific proof. However, typical proof strategies might involve showing that triangles EMI and TMR are congruent by Side-Angle-Side (SAS), Angle-Side-Angle (ASA), or Angle-Angle-Side (AAS) postulates, depending on the position of points I and R.
[tex]\lim_{x\to \infty} \frac{\sqrt{9x^{2} +x+1} -\sqrt{4x^{2} +2x+1} }{x+1}[/tex]
Answers
Answer:
[tex]\lim _{x\to \infty \:}\left(\frac{\sqrt{9x^2+x+1}-\sqrt{4x^2+2x+1}}{x+1}\right)=1[/tex]
Step-by-step explanation:
Considering the expression
[tex]\lim _{x\to \infty \:}\frac{\sqrt{9x^2+x+1}-\sqrt{4x^2+2x+1}}{x+1}[/tex]
Steps to solve
[tex]\lim _{x\to \infty \:}\frac{\sqrt{9x^2+x+1}-\sqrt{4x^2+2x+1}}{x+1}[/tex]
[tex]\mathrm{Divide\:by\:highest\:denominator\:power:}\:\frac{\sqrt{9+\frac{1}{x}+\frac{1}{x^2}}-\sqrt{4+\frac{2}{x}+\frac{1}{x^2}}}{1+\frac{1}{x}}[/tex]
[tex]\lim _{x\to \infty \:}\left(\frac{\sqrt{9+\frac{1}{x}+\frac{1}{x^2}}-\sqrt{4+\frac{2}{x}+\frac{1}{x^2}}}{1+\frac{1}{x}}\right)[/tex]
[tex]\lim _{x\to a}\left[\frac{f\left(x\right)}{g\left(x\right)}\right]=\frac{\lim _{x\to a}f\left(x\right)}{\lim _{x\to a}g\left(x\right)},\:\quad \lim _{x\to a}g\left(x\right)\ne 0[/tex]
[tex]\mathrm{With\:the\:exception\:of\:indeterminate\:form}[/tex]
[tex]\frac{\lim _{x\to \infty \:}\left(\sqrt{9+\frac{1}{x}+\frac{1}{x^2}}-\sqrt{4+\frac{2}{x}+\frac{1}{x^2}}\right)}{\lim _{x\to \infty \:}\left(1+\frac{1}{x}\right)}.....[1][/tex]
As
[tex]\lim _{x\to \infty \:}\left(\sqrt{9+\frac{1}{x}+\frac{1}{x^2}}-\sqrt{4+\frac{2}{x}+\frac{1}{x^2}}\right)=1[/tex]
Solving
[tex]\lim _{x\to \infty \:}\left(\sqrt{9+\frac{1}{x}+\frac{1}{x^2}}-\sqrt{4+\frac{2}{x}+\frac{1}{x^2}}\right)....[A][/tex]
[tex]\lim _{x\to a}\left[f\left(x\right)\pm g\left(x\right)\right]=\lim _{x\to a}f\left(x\right)\pm \lim _{x\to a}g\left(x\right)[/tex]
[tex]\mathrm{With\:the\:exception\:of\:indeterminate\:form}[/tex]
[tex]\lim _{x\to \infty \:}\left(\sqrt{9+\frac{1}{x}+\frac{1}{x^2}}\right)-\lim _{x\to \infty \:}\left(\sqrt{4+\frac{2}{x}+\frac{1}{x^2}}\right)[/tex]
Also
[tex]\lim _{x\to \infty \:}\left(\sqrt{9+\frac{1}{x}+\frac{1}{x^2}}\right)=3[/tex]
Solving
[tex]\lim _{x\to \infty \:}\left(\sqrt{9+\frac{1}{x}+\frac{1}{x^2}}\right)......[B][/tex]
[tex]\lim _{x\to a}\left[f\left(x\right)\right]^b=\left[\lim _{x\to a}f\left(x\right)\right]^b[/tex]
[tex]\mathrm{With\:the\:exception\:of\:indeterminate\:form}[/tex]
[tex]\sqrt{\lim _{x\to \infty \:}\left(9+\lim _{x\to \infty \:}\left(\frac{1}{x}+\lim _{x\to \infty \:}\left(\frac{1}{x^2}\right)\right)\right)}[/tex]
[tex]\lim _{x\to \infty \:}\left(9\right)=9[/tex]
[tex]\lim _{x\to \infty \:}\left(\frac{1}{x}\right)=0[/tex]
[tex]\lim _{x\to \infty \:}\left(\frac{1}{x^2}\right)=0[/tex]
So, Equation [B] becomes
⇒ [tex]\sqrt{9+0+0}[/tex]
⇒ [tex]3[/tex]
Similarly, we can find
[tex]\lim _{x\to \infty \:}\left(\sqrt{4+\frac{2}{x}+\frac{1}{x^2}}\right)=2[/tex]
So, Equation [A] becomes
⇒ [tex]3-2[/tex]
⇒ 1
Also
[tex]\lim _{x\to \infty \:}\left(1+\frac{1}{x}\right)=1[/tex]
Thus, equation becomes
[tex]\frac{\lim _{x\to \infty \:}\left(\sqrt{9+\frac{1}{x}+\frac{1}{x^2}}-\sqrt{4+\frac{2}{x}+\frac{1}{x^2}}\right)}{\lim _{x\to \infty \:}\left(1+\frac{1}{x}\right)}=\frac{1}{1}=1[/tex]
Therefore,
[tex]\lim _{x\to \infty \:}\left(\frac{\sqrt{9x^2+x+1}-\sqrt{4x^2+2x+1}}{x+1}\right)=1[/tex]
Keywords: limit
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Please answer this question.
Answers
Answer:
2
Step-by-step explanation:
GL Stats: lviixea conrldence Intervals Practice
On each problem, verify that the conditions for a confidence interval are met!
(1) Suppose the height of senior girls at Anytown High School is known to be normally distributed. A sample of
leights in inches of 23 randomly selected senior girls were: 63, 68, 60, 59, 68, 65, 67, 64, 69, 69, 61, 67, 61, 60,
66, 67, 68, 66, 70, 79, 76, 75, 65. Construct and interpret a 99% confidence interval for the true mean height
Answers
Answer:
99% Confidence interval: (63.65,69.65
Step-by-step explanation:
We are given the following data:
63, 68, 60, 59, 68, 65, 67, 64, 69, 69, 61, 67, 61, 60, 66, 67, 68, 66, 70, 79, 76, 75, 65
Formula:
[tex]\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}[/tex]
where [tex]x_i[/tex] are data points, [tex]\bar{x}[/tex] is the mean and n is the number of observations.
[tex]Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}[/tex]
[tex]Mean =\displaystyle\frac{1533}{23} = 66.65[/tex]
Sum of squares of differences = 575.217
[tex]S.D = \sqrt{\dfrac{575.217}{22}} = 5.11[/tex]
99% Confidence interval:
[tex]\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}[/tex]
Putting the values, we get,
[tex]t_{critical}\text{ at degree of freedom 22 and}~\alpha_{0.01} = \pm 2.818[/tex]
[tex]66.65 \pm 2.818(\dfrac{5.11}{\sqrt{23}} ) = 66.65 \pm 3.002 = (63.65,69.65)[/tex]
What do you know about two different integers that are opposites?
Answers
Only if they are each the same distance away from zero, but on opposite sides of the number line.
Hope this help! :)
Answer:If you add a negative and a positive you do the the integers step by changing the add operation to a subtraction.
Step-by-step explanation:-4+3
integers property -4 - 3 = 1
negative plus a positive is a positive.
Someone help me please
Answers
Answer:
A because it is increasing
Step-by-step explanation:
Answer:
I would say c
Step-by-step explanation:
you think if you go down a hill what happen is you speed up so you would need to be go down or heading in a negative direction.
Please solve for me!!
During a trip , Jonathan had driven a total of 75 miles by 6:20 PM and a total of 85 miles by 6:40 Pm. He drove at the same rate for the entire trip. At what time had he driven a total of 140 miles?
Answers
Answer:
8:30 PM
Step-by-step explanation:
Let's say that x is minutes since 6:20 PM, and y is position in miles.
Since Jonathan drives at a constant rate, the position vs time graph is linear. Two points on the line are (0, 75) and (20, 85). The slope of the line is:
m = Δy / Δx
m = (85 − 75) / (20 − 0)
m = ½
So the equation of the line is:
y = ½ x + 75
We want to find x when y is 140.
140 = ½ x + 75
65 = ½ x
x = 130
So 130 minutes after 6:20 PM is when Jonathan's position will be 140 miles. 130 minutes is 2 hours and 10 minutes. So the time will be 8:30 PM.
By calculating the speed at which Jonathan was driving and applying that rate to the total distance, it can be concluded that Jonathan would have driven a total of 140 miles by about 8:30 PM.
Explanation:Jonathan drove 10 miles from 6:20 PM to 6:40 PM, giving a 20-minute duration. We can say the rate of speed he was driving at is 10 miles/20 minutes. We can simplify this rate down to 1 mile/2 minutes to make it easier to work with.
To calculate when he would've driven a total of 140 miles we follow these steps:
Subtract the 75 miles he had already driven from the total of 140 miles we want to find out about, which gives us 65 miles.
Divide these 65 miles by the rate he's driving at (1 mile/2 min), which gives us 130 minutes.Add these 130 minutes to the original time of 6.20 PM. The result is approximately 8.30 PM.Therefore, Jonathan would've driven a total of 140 miles by about 8:30 PM.
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5. A hummingbird feeder holds 2/3 of a cup of hummingbird solution. A bottle of solution will fill the feeder 8 times. How much hummingbird solution is in the bottle.
Answers
Answer:
1.26 liters.
Step-by-step explanation:
Given that, a hummingbird feeder holds [tex]\frac{2}{3}[/tex] of a cup of hummingbird solution.
Again, a bottle of solution will fill the feeder 8 times.
Therefore, a bottle of solution will measure [tex](\frac{2}{3}\times 8) = \frac{16}{3} = 5.33[/tex] cups of hummingbird solution.
Now, one cup is equivalent to 0.236588 liters.
So, 5.33 cups is equal to (0.236588 × 5.33) = 1.26 liters. (Answer)
What’s the slope for Y=8x+2
Answers
x + 6y = -7
2x + 12y = -14
Answers
ALL OF THESE WILL BE SOLVE FOR X AND Y!!!
Problem 1 Solve For x: x=−6y−7
Show work: Add -6y to both sides.
x+6y+−6y=−7+−6y
x=−6y−7
Problem 1 Solve For y: y = -1/6x + -7/6
Show work: Add -x to both sides.
x+6y+−x=−7+−x
6y=−x−7
Step 2: Divide both sides by 6.
6y/6 = -x -7/6
Problem 2 Solve For x: x=−6y−7
Show work: Add -12y to both sides.
2x+12y+−12y=−14+−12y
2x=−12y−14
Step 2: Divide both sides by 2.
2x/2 = -12y - 14/2
Problem 2 Sovle For y: y=-1/6x + -7/6
Show work: Add -2x to both sides.
2x+12y+−2x=−14+−2x
12y=−2x−14
Step 2: Divide both sides by 12.
12y/12 = -2x-14/12
What is the answer to 13d+25=8d
Answers
13d + 25 = 8d
13d - 8d = -25
5d = -25
d = -5
so the answer is (-5)
Answer:
Step-by-step explanation:
13d + 25 = 8d
13d = 8d -25
13d - 8d = -25
5d = -25
d = -5
Estimate by rounding the largest number to hundreds and then multiplying.
691 x 4 is approximately
Answers
Answer:
approximately 2,800
Step-by-step explanation:
you would round 691 to 700 then multiply by 4
Answer:
2,800
Step-by-step explanation:
In saying "largest number," I believe the question means that you should round 691 up to 700 (nearest hundreds). Multiple 700 by 4, and you will get 2,800! Hope this helps! :)
A frame around a rectangular family portrait has a perimeter of 150 inches. The length is ten more than four times the width. Find the length and width of the frame.
Answers
Answer: The length is 62 inches and the width is 13 inches
Step-by-step explanation: The perimeter of the rectangular portrait has been given as 150 inches. We also know that the perimeter of a rectangle is given as
Perimeter= 2(L + W)
However we don't have the measurements for the length and width. What we do have are descriptions of both. The length is given as W, while the length is ten more than four times the width. That is, the length equals
10 + 4W
Therefore we have the length and the width as
L = 4W + 10 and
W = W
If the perimeter is 150, and
Perimeter = 2(L + W) then,
150 = 2(4W + 10 + W)
150 = 2(5W + 10)
150 = 10W + 20
Subtract 20 from both sides of the equation
130 = 10W
Divide both sides of the equation by 10
13 = W
With that in mind we can now calculate the length as
L = 4W + 10
Substitute for the value of W
L = 4(13) + 10
L = 52 + 10
L = 62
Therefore, the length is 62 inches and the width is 13 inches
Answer:
Length = 62 inches, Width = 13 inches
Step-by-step explanation:
Let L represent the length of the frame, W, the width and P, the perimeter
Perimeter of a rectangle, P = 2 (L + W) .....eq 1
Also, P = 150 inches
and
L = 10 + 4W .....eq 2
Slotting in the respective values of P and L in eq 1
150 = 2 {(10 + 4W) + W}
Expanding the bracket
150 + 2 (10 + 5W)
150 = 20 + 10W
Subtracting 20 from both sides of the equation
150 - 20 = 20 - 20 + 10W
130 = 10W
Dividing both sides by the coefficient of W which is 10
13 = W
Therefore, W = 13 inches
Slotting in the value of W in eq 2
L = 10 + 4 (13)
L = 10 + 52
L = 62 inches
Lets ensure that the values of L and W are correct
P = 2 (L + W)
150 = 2 (13 + 62)
150 = 2(75)
150 = 150
Hence, L = 62 inches, W = 13 inches
In the triangle below, what is the sine of 30°?
Answers
Answer:
There's no picture. Is it D.√3 / 2
Step-by-step explanation:
In circle L, arc NOP is 90° and the radius is 5 units. Which statement best describes the length of arc NOP?
Answers
Answer:
[tex]\frac{1}{4}[/tex] of circumference of the circle
Step-by-step explanation:
We are given that
Arc NOP=Central angle=[tex]\theta=90^{\circ}[/tex]
Radius of circle=5 units
We have to find the statement which describes best the length of arc NOP.
Arc length=[tex]\frac{central\;angle}{360}\times 2\pi r[/tex]
Using the formula
Arc length=[tex]\frac{90}{360}\times circumference\;of\;circle[/tex]
Where Circumference of circle=[tex]2\pi r[/tex]
Arc length NOP=[tex]\frac{1}{4}[/tex]circumference of circle
Hence, the arc length NOP=[tex]\frac{1}{4}[/tex] of circumference of the circle
Answer:
1/4 the circumference of circle L
Step-by-step explanation:
buzz makes 75% of her free throws.If she whats to set the record of making 48 free throws in 5 minutes,how many free throws does she have to make?
Answers
Answer:
63
Step-by-step explanation:
Answer:
65
Step-by-step explanation:
75% of 65 = 48
PLEASE HELP ME ASAP IT"S VERY URGENT WILL MARK THE BRAINLEST
The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.
What is the value of x?
Enter your answer in the box.
x =
Answers
Answer:
Step-by-step explanation:
3x - 6 + 2x + 108 + 88 = 360 Gather like terms
5x + 108 + 88 - 6 = 360
5x = 190 Divide by 5
x = 190/5
x = 38
4. Which of the following points are solutions to the system of inequalities 2x - 3y > 9 and -x -
4y > 8?
• (-1,-3)
(1,3)
(-1,3)
(1,-3)
Answers
Answer:
(1, -3)
Step-by-step explanation:
+5x+3.
What are the factors of the polynomial?
(2x+3)(x+1)
(2x-3)(x-1)
(3x+2)(x+1)
(3x-2)(x-1)
Answers
2x^2 + 5x + 3
What are the factors of the polynomial?
(2x+3)(x+1)
(2x-3)(x-1)
(3x+2)(x+1)
(3x-2)(x-1)
Answer:Option A
The factors are:
[tex]2x^2+5x+3 = (2x+3)(x+1)[/tex]
Solution:Given that, the quadratic equation is:
[tex]2x^2 + 5x + 3[/tex]
We have to find the factors of polynomial
Find the factors:[tex]2x^2+5x+3[/tex]
Split 5x as 2x and 3x
[tex]2x^2+5x+3 = 2x^2 +2x + 3x + 3[/tex]
[tex]\mathrm{Break\:the\:expression\:into\:groups}[/tex]
[tex]2x^2+5x+3=\left(2x^2+2x\right)+\left(3x+3\right)[/tex]
[tex]\mathrm{Factor\:out\:}2x\mathrm{\:from\:}2x^2+2x\mathrm{:\quad }2x\left(x+1\right)[/tex]
Thus we get,
[tex]2x^2+5x+3 = 2x(x+1) + (3x+3)[/tex]
[tex]\mathrm{Factor\:out\:}3\mathrm{\:from\:}3x+3\mathrm{:\quad }3\left(x+1\right)[/tex]
Thus we get,
[tex]2x^2+5x+3 = 2x(x+1) + 3(x+1)[/tex]
[tex]\mathrm{Factor\:out\:common\:term\:}x+1[/tex]
Thus we get,
[tex]2x^2+5x+3 = (2x+3)(x+1)[/tex]
Thus the factors are found for given polynomial
Final answer:
The correct factors of the polynomial +5x+3 are (2x+3)(x+1), as they multiply to give the original polynomial. None of the other provided options yield the correct polynomial upon multiplication.
Explanation:
The question asks to identify the factors of the polynomial +5x+3. Factors are expressions that, when evaluated, produce the value of the polynomial. Let's examine the provided options to find which pair of binomials gives us the correct polynomial upon multiplication:
(2x+3)(x+1) = 2x² + 2x + 3x + 3 = 2x² + 5x + 3, which matches the original polynomial.
(2x-3)(x-1) = 2x² - 2x - 3x + 3 = 2x² - 5x + 3, which does not match the original polynomial.
(3x+2)(x+1) = 3x² + 3x + 2x + 2 = 3x² + 5x + 2, which does not match the original polynomial.
(3x-2)(x-1) = 3x² - 3x - 2x + 2 = 3x² - 5x + 2, which does not match the original polynomial.
Therefore, the correct factors of the polynomial +5x+3 are (2x+3)(x+1).
lines AD and BE intersect at point C, as shown. create an expression that represents the measure of the angle DCE in terms if X
part 2 of question: using your expression, solve for the missing value of X if DCE was 120 degrees.
Answers
Answer:
Please, find the image with the diagram of the lines corresponding to this question:
The answers are:
Equation: m ∠ DCE = 180º - x
Value of x = 60º
Explanation:
First question:
You must use the fact that the angles DCE and BCD are adjacent angles, because they share the vertex (C) and have a common side (CD).
Thus, as a first fact, the measure of the angle BCE is equal to the sum of the measures of the angles BCD and DCE.
On the other hand, BE is a straight line, thus the measure of angle BCE is 180º.
Hence, you can write:
m ∠ DCE + m ∠ DCB = 180ºm ∠ DCE + x = 180ºm ∠ DCE = 180º - xSecond question:
Solve for x:
Given: m ∠ DCE = 180º - xAdd x to both sides: m ∠ DCE + x = 180º Subtract m ∠ DCE from both sides: x = 180º - m ∠DCESubstitute m ∠DCE with 120º:
x = 180º - 120º = 60ºHence, for m ∠DCE = 120º, x = 60º.
Which statement describes the graph of f(x) = x² - 6x + 9 ?
a line with an x-intercept of (-3, 0)
a parabola with an x-intercept of (-3, 0)
a line with an x-intercept of (3, 0)
a parabola with an x-intercept of (3, 0)
Answers
Answer:
About
step 1 highlight numbers
step 2 do ctrl+f
step 3 type in 9
ENJOY
1051541451431641621571721571511441234567881234567812345678123678326470547 2999999259923478990124999995689902993413269916749953349999914649932724997 2994567809912568990139956799809929936781467998299634699818991169966144990 2999994569970124995699801323459999012615302799995324993243699019923412993 2994567801993569980299356780239999456725634569974326992644399243992369936 2994567801992689901239967899029939945745315319931253399436998011992349950 2998012345299999388352999991039953991232012479934673289999982640499999415l
Step-by-step explanation:
Give each trig ratio as a fraction in simplest form.
1 point
Sin A=
Sin A=
Your answer
Answers
[tex]\boxed{sinA=\frac{a}{c}} \\ \\ \boxed{cosA=\frac{b}{c}}[/tex]
Explanation:The trigonometric functions are very important in math and physics. Sound, light and electricity all involve oscillations and are modeled by sine and cosine functions. So, we can provide a trig ratio for the sine and cosine function by taking a right triangle as shown in the figure below. So the relationships are as follows:
[tex]sinA=\frac{Opposite \ side}{Hypotenuse} \\ \\ cosA=\frac{Adjacent \ side}{Hypotenuse} \\ \\ \\ For \ the \ figure: \\ \\ a:Opposite \ side \\ \\ b:Adjacent \ side \\ \\ c:Hypotenuse[/tex]
So we can write:
[tex]\boxed{sinA=\frac{a}{c}} \\ \\ \\ \boxed{cosA=\frac{b}{c}}[/tex]
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question for class 4
Answers
Jenny had $17 more than Susan, and together they had enough money to buy a game for $93 and to have a pizza for $6. How much money did Susan have?
Answers
Answer:
Susan had $41.
Step-by-step explanation:
The amount of money they have is enough for $99 spending. The answer can be found by testing two numbers and seeing whether the amounts need to be increased or decreased to make the distance between them 17, with a sum of 99.
40 and 57: distance of 17, but not enough for $99. $41 and $58 equal 99, with a distance of 17 between them. Jenny, with $17 more, has 58. Susan has 41.
Subtracting 1 from which digit in the number 12,345 will decrease the value of the number by 1,000
Answers
Match the following items by evaluating the expression for x = -2.
x-2
x-1
x0
x1
x2
Answers
By substituting x = -2 in each expression, we find that x-2 equals -4, x-1 equals -3, x₀ equals 1, x₁ equals -2, and x₂ equals 4.
Explanation:To solve this, we need to substitute x = -2 into each expression. Here are the results:
For x-2, substituting -2 would give us -2 - 2 which is -4.In the expression x-1, substituting -2 would provide us with -2 - 1, which equals -3.For x₀, any non-zero number to the power of zero is 1.When we put -2 into x₁, we simply get -2.Finally, for x₂, -2 squared equals to 4.Learn more about Evaluating expressions here:https://brainly.com/question/21469837
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17. WEATHER Heavy rain in Brieanne's town caused the river to rise. The river rose three
inches the first day, and each day after rose twice as much as the previous day. How
much did the river rise in five days?
Answers
Answer:
30
Step-by-step explanation:
It states that it rained twice as much in 5 days all you do is multiply the 2 times 3 which is 6 so then u multiply 6 times 5 which is 30.
The river rose a total of 93 inches over five days.
The question asks how much a river rises in five days given a certain pattern of increase. To find the solution, we use a geometric sequence because the river rises by a constant multiple each day. On the first day, the river rises three inches. Since on each subsequent day the river rises by twice the amount it did the previous day, the sequence of increases over five days is: 3 inches, 6 inches, 12 inches, 24 inches, and 48 inches.
The total rise of the river is the sum of these increases:
3 + 6 + 12 + 24 + 48 = 93 inches.
Therefore, the river rose a total of 93 inches over the span of five days.
Suppose Ellie starts making a lamb stew using a 6.5-quart pot. She decides to make a bigger stew. She pours everything into a pot that is 40 percent bigger. How big is the bigger pot?
Answers
Answer:
The bigger pot is a 9.1-quart pot
Step-by-step explanation:
Initial pot size = 6.5-quart
New pot is 40% bigger than the initial pot size
Bigger pot size = 6.5-quart + (0.4 × 6.5-quart) = 6.5-quart + 2.6-quart = 9.1-quart
what is 6(5−8v)+12=−54
Answers
Answer:
v = 2
Step-by-step explanation:
Homework answers plz
Answers
Answer: 10.5
Step-by-step explanation:
Hello the answer is 10.5 you just have to multiply 3 1/2 times 3 and there's your answer
Have a great day hope this helps!:):):
Answer:
10 1/2
Step-by-step explanation:
convert 3 1/2 into an improper fraction
3 1/2 = 7/2
if the flour is tripled that means
3 1/2 x 3
= 7/2 x 3
= (7x3) / 2
= 21/2 (convert to mixed fraction, by long division)
= 10 1/2