Complete question :
The Hiking Club is taking another trip. The hike leader's watch shows that they gained 296 feet in altitude from their starting position. Their altitude is now 285 feet, but there is no record of their starting altitude. Write and solve an equation to represent this situation and find their starting altitude.
Answer:
Expression :
285 = x + 296
Starting altitude, x = - 11 feets
Step-by-step explanation:
Let starting position = x
Altitude gained = 296 feets
Final attitude = 285 feets
The starting altitude could be obtained by the expression :
Final altitude = starting altitude + Altitude gained
285 = x + 296
Solve for x, to obtain starting altitude ;
285 - 296 = x + 296 - 296
-11 = x
Hence, starting altitude is - 11 feets
WILL MARK BRAINLIEST!!
In a survey conducted at a pet store, 150 customers were asked if they owned
birds or fish. The survey data are shown in the relative frequency table.
Own a bird
Do not own a
bird
Total
Own fish
0.04
0.08
0.02
0.86
Do not own fish
Total
What percentage of the people surveyed own a bird?
Using proportions, it is found that the percentage of the people surveyed own a bird is given by:
C. 6%.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. When the proportion is multiplied by 100%, a percentage is found.
The proportion of people who own a bird is:
p = 0.04 + 0.02 = 0.06.
Hence the percentage is of 6%, which means that option C is correct.
More can be learned about proportions at https://brainly.com/question/24372153
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5. Find the next 4 terms of the sequence
47, 45, 40, 32, 21, , , , ,
Answer:
7 -10 -30 -53
Step-by-step explanation:
47-2 = 45
45-5 = 40 (2+3=5)
40-8 = 32 (5+3=8)
32-11 = 21(8+3=11).........
21-14 = 7
7-17 = -10
-10 -20 = -30
-30-23 = -53
Suppose that out of 30 gift cards in a
prize box, there are 7 for restaurants,
What is the probability that a restaurant
gift card will be drawn?
Answer:
7/30
Step-by-step explanation:
a1 + a2 + a3 + a4 + a5
NO LINKS!!!!!!!!! please solve it and explain it.
Answer:
Linear: y = 2x-1
Step-by-step explanation:
slope 1 = (5 - -9)/(3 - -4) = 14/7 = 2
slope 2 = (19-5)/(10-3) = 14/7 = 2
equation: y = mx + b b = y-mx = 19 - 2*10 = -1
y = 2x - 1
Abigail is 54. Inches tall which of the following is Abigail height
Answer:
4.5 feet
Step-by-step explanation:
One foot is 12 inches, therefore she is 4 (12x4=48) and she would have 6 left over which is half of a foot. (:
Find the x in PQR, please
Answer:
Answer is A
Step-by-step explanation:
Use the the pythagorean theorem
x=√12²+5²
x=13
Answer:
13
Step-by-step explanation:
As the given triangle is right angled, we can use Pythagoras theorem to find hypotenuse
Base² + Perpendicular² = Hypotenuse²
PQ² + RP² = RQ²
(12)² + (5)² = x²
144 + 25 = x²
169 = x²
x = √169
x = 13.
Henry was thinking of a number. Henry divides by 2, then adds 10 to get an answer of 15. What was the original number?
Answer:
Henry was thinking of the number 10.
Step-by-step explanation:
Variable x = Henry's original number
Set up an equation:
x ÷ 2 + 10 = 15
Isolate variable x:
x ÷ 2 = 5
x = 10
TAKE HOME
1. Find the angle between the vectors:
i-23 + 5k and 3i+j - 2k
Answer:
The angle between the two vectors
∝ = 64°
Step-by-step explanation:
Step(i):-
Given that the vectors
[tex]a^{-} = i^{-} - 2j^{-} +5k^{-}[/tex]
and
[tex]b^{-} = 3i^{-} +j^{-} -2k^{-}[/tex]
[tex](a^{-} . b^{-} ) = (i^{-} - 2j^{-} +5k^{-} ) . (3 i^{-} + j^{-} - 2k^{-} )[/tex]
= 3 (i⁻ . i⁻) - 2(j⁻.j⁻) -10(k⁻.k⁻)
= 3 - 2 -10
= -9
Step(ii):-
Let '∝' be the angle between the two vectors
[tex]cos\alpha = \frac{a^{-}.b^{-} }{|a||b|}[/tex]
[tex]cos\alpha = \frac{|-9| }{\sqrt{1+4+25}\sqrt{9+1+4} }[/tex]
[tex]cos\alpha = \frac{|-9| }{\sqrt{30}\sqrt{14} }[/tex]
[tex]\alpha =cos^{-1} ( \frac{|-9| }{\sqrt{30}\sqrt{14} })[/tex]
∝ = cos⁻¹(0.4392) = 63.947
Final answer:-
The angle between the two vectors
∝ = cos⁻¹(0.4392) = 63.947
∝ = 64°
How do you Find the value of x.
Answer: 65
Step-by-step explanation: well 115 is 115 on the opposite direction therfore 65 would be 65 on the opposite side also please give brainlest i am only one away from leveling up
Can someone pls helpppp ASAP this is due in 25 min :(
For the right triangles below, find the values of the side lengths d and a.
Round your answers to the nearest tenth.
Answer:
a = 1.4 and d = 6.9
Step-by-step explanation:
To get the value of d and a, we will use the SOH CAH TOA identity
For the first tringle;
Opposite = d ((opposite angle 60 degrees)
Adjacent = 4
Tan theta = opp/adj
Tan 60 = d/4
d = 4tan60
d = 4(1.732)
d = 6.9
For the second triangle;
Opposite = a
Hypotenuse = 2
Since sin theta = opp/hyp
Sin45 = a/2
a = 2sin45
a = 2(0.7071)
a = 1.4
Hence a = 1.4 and d = 6.9
who can help me please ?
If a is inversely proportional to x, a=15 when x=25 find the constant of variation, k
Answer:
Step-by-step explanation:
"Inversely proportional to x" in this situation is represented by a = k/x.
Find k:
Let a = 15 and x = 25, then calculate k:
15 = k/25)
Multiplying both sides by 25 yields k = 15(25), or k = 3/5
3
and so a = -----------
5x
Expressions with Irrational Numbers: Mastery Test 1 Type the correct answer in the box. The product of 2/3 and 3v12 in simplified form is Reset
Answer:
[tex]$\frac{1}{6}$[/tex]
Step-by-step explanation:
Expressing the irrational numbers into its simplified form :
Given :
The product of [tex]$\frac{2}{3}$[/tex] and [tex]$\frac{3}{12}$[/tex]
Therefore,
[tex]$=\frac{2}{3} \times \frac{3}{12}$[/tex]
[tex]$=\frac{2}{12}$[/tex]
[tex]$=\frac{1}{6}$[/tex]
So the simplified form is [tex]$\frac{1}{6}$[/tex]
At a recent meeting, the manager of a national call center for a major Internet bank made the statement that the average past-due amount for customers who have been called previously about their bills is now no larger than $20. Other bank managers at the meeting suggested that this statement may be in error and it needs to be tested. The file called Bank Call Center attached below, contains data for a random sample of 67 customers from the call center population. What should be conducted based on the sample data? Test using α = 0.10
Answer:
As the calculated z does not fall in the critical region we fail to reject H0 and conclude that there is sufficient evidence that the average past-due amount for customers who have been called previously about their bills is now no larger than $23.
Step-by-step explanation:
As the standard deviation for the past due amounts is 63
The sample size n= 67
1) Formulate the null and alternate hypothesis
H0: u ≤ 23 against the claim Ha: u > 23
2) The test statistics is
Z= x- u / σ/ √n
z= 20- 23/ 63/ √67
z= 0.00581
z= 0.006
3) The significance level ∝= 0.1
4) The critical value for ∝= 0.1 is Z > ±2.33
5) As the calculated z does not fall in the critical region we fail to reject H0 and conclude that there is sufficient evidence that the average past-due amount for customers who have been called previously about their bills is now no larger than $23.
HELP WILL MARK BRAINLIEST
Answer:
Volume = 12
Step-by-step explanation:
Answer:
12cm³
Step-by-step explanation:
L=3cm
W=2cm
H=2cm
Volume=L*W*H
Volume =3*2*2
=12 cm³
A ring-shaped region is shown below. Its inner radius is 19 m, and its outer radius is 24 m. Find the area of the shaded region. Use 3.14 for . Do not round your answer.
Answer:
675.1 sq m
Step-by-step explanation:
Area of larger circle = 3.14(24^2) = 3.14(576) = 1808.64
area of smaller circle = 3.14(19^2) = 3.14(361) = 1133.54
area of ring = Area of larger circle - area of smaller circle
= 1808.64 - 1133.54 = 675.1
HELPPPPP ME PLEASEE
Answer: <
6.12 x 10^4 < 612,000
Step-by-step explanation:
Answer:
<
Step-by-step explanation:
because 6.12 × 10^4 = 61,200 and 612,000 is obviously a way bigger number, so greater than symbol is the correct answer.
Penny is going to fly her plane to her sister's house, which is 544.32 miles away. Penny's airplane flies at an average speed of 672 miles per hour. How long does it take Penny to fly to her sister's house?
Answer:
0.81 hour
Step-by-step explanation:
Given data
Distance= 544.32 miles
Speed= 672 miles per hour.
We know that
Speed= distance/time
Substitute
672= 544.32/time
cross multiply
time*672= 544.32
time= 544.32/672
time= 0.81 hour
A shopper bought 7 ears of corn and 6 pounds of bananas and paid $5.15. At the same store, another shopper bought 4 ears of corn and 1 pound of bananas and paid $1.85 . What is the price of an ear of corn?
Please help!
Answer:
$0.70 per ear of corn
Step-by-step explanation:
Let c = Ear of corn
Let b = pound of bananas
First shopper:
7c + 6b = $5.15
Second Shopper:
4c + 1b = $1.85
Solve one equation for b since you are solving for c:
4c + 1b = $1.85
b = $1.85 - 4c
Substitute into other equation:
7c + 6b = $5.15 <--- b = $1.85 - 4c
7c + 6 ($1.85 - 4c) = $5.15
7c + $11.1 - 24c = $5.15
-17c + $11.1 - $11.1 = $5.15 - $11.1
-17c /-17 = -$11.85 /-17
c = $0.70 per ear of corn
Leave a like and mark brainliest if this helped
How many soultions does the equation 2(p+5) = 4 - 10p have? Explain how you found your answer.
Answer:
1, p = -0.5
Step-by-step explanation:
2(p+5) = 4 - 10p
2p+10 = 4 - 10p
2p + 10p = 4 - 10
12p = -6
p = -6/12
p = -0.5
2(-0.5+5) = 4 - 10(-0.5)
-1 + 10 = 4 + 5
9 = 9
Find the measure of the indicated angles below.Drag the points to show the measure of the four angles
Answer Plzz
A. Angle E = 113°
B. x = 16°
ExplainNumber A
92 + 70 + 85 + ? = 360
162 + 85 + ? = 360
247 + ? = 360
? = 360 - 247
? = 113°
Number B
108 + 84 + ( x + 30 ) + ( 2x + 18 ) = 360
(180 + 84 + 30 + 18) + (x + 2x) = 360
312 + 3x = 360
3x = 360 - 312
3x = 48
x = 48/3
x = 16°
#LearnWithBrainly
Suppose you know the perimeter of a rectangle. How can you write
an equation for the area in terms of the length of a side?
Step-by-step explanation:
L+W+L+W=26 so 2L=26–2W and you can find length from the perimeter as L=13−W
LW=42 so L=42/W is the other way to find the length, from the area. Both ways require you to know W, but if you have both pieces of information the two answers for length must be the same 42/W=13−W, and you solve this:
42=13W−W2
W2–13W+42=0
(W−6)(W−7)=0
Either W−6=0 or W−7=0
What is the area of the irregular figure?
Answer:
106 m
Step-by-step explanation:
Brₐinliest plz close to leveling up
Answer:
Pretty sure it 13440
Sorry if its wrong but hope this helps.
A function is defined by the rule f(x) = 11 - 2x. What is the value of f(-3) ?
Answer:
17
Step-by-step explanation:
11 - 2(-3) = 11 + 6 = 17
should put -3 where x is
help? is this right or no?
Answer:
C
Step-by-step explanation:
Symmetry means to have the same structure on both sides. So, imagine a mirror reflecting, lets say half a piece of bread the structure will be the same on both sides.
pls give brainlist if helpful
Given that the discriminant of a quadratic equation is 1, determine the number of real solutions.
When I have walked 20% of the way to school, I have 1200 metres more to walk than when I have 20% of the walk remaining.
How far, in metres, is it from my home to my school?
Answer:
The house is 2000 meters from the school.
Step-by-step explanation:
Given that, when I have walked 20% of the way to school, I have 1200 meters more to walk than when I have 20% of the walk remaining, to determine how far, in meters, is it from my home to my school the following calculation has to be done:
100 - 20 = 80
80 = 20 + 1200
80 - 20 = 1200
60 = 1200
1200/60 = 20
20 x 100 = 2000
Therefore, the house is 2000 meters from the school.
You answer 0.8 questions correctly.
a. What percent of the questions did you answer correctly?
you answer 0.8 questions correctly. what percent of the questions did you answer correctly. What fraction of the questions did you answer incorrectly? Use / for fraction and answer
Answer:
Step-by-step explanation:
Fraction:
0.8 = 8/10 = 4/5
Percent:
0.8*100 = 80%
Answer:
Solution :-0.8 can be written as
8/10 and
Percentage = 8/10 × 100
Percentage = 8 × 10
Percentage = 80%
Or,
Simply
Percentage = 0.8 × 100
Percentage = 80%
[tex] \\ [/tex]
Ms. Belk made this box and whisker plot
after a quiz she gave. Which statement is
NOT true about the data in the plot?
(answer choices)
A. the interquartile range is 20
B. the upper extreme is 95
C. the lower quartile is 65
D.the median score is 75
any scams or external websites will be reported.
Answer:
D is incorrect
Step-by-step explanation:
the median score is 70