Answer:
p = -1
Step-by-step explanation:
3(2p - 1) - 2*(3p+ 4) = 11p
Use distributive property: a(b +c) =a*b +a*c
3*2p -3*1 -2*3p + (-2)*4 = 11p
6p - 3 - 6p - 8 = 11p
6p - 6p - 3 - 8 = 11p
- 11 = 11 p
Divide both sides by 11
-11/11 = p
p = -1
Pieter wrote and solved an equation that models the number of hours it takes to dig a well to a level of 72 feet below sea level.
7h – 5(3h – 8) = –72
Which statement is true about Pieter’s solution?
It cannot be a fraction or decimal because the depth of the well is a whole number.
It must be a positive number since it represents a number of hours.
It must be a negative number because the depth is below sea level.
It cannot be greater than –72 because that is the depth of the well.
Answer:
The answer is B or It must be a positive number since it represents a number of hours.
Step-by-step explanation:
+
In the figure below, if m<1 = (x + 16)° and m
The < sign is angle
Answer:
Step-by-step explanation:
∠1 + ∠BFE = 180 {linear pair}
x + 16 + 3x + 20 = 180
x + 3x + 16 + 20 = 180 {Combine like terms}
4x + 36 = 180
Subtract 36 from both sides
4x = 180 - 36
4x = 144
Divide both sides by 4
x = 144/4
x = 36
HELP PLS hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeellllllllllllllllllllllppppppppppppp
Answer:
[tex]r\le \:12.5[/tex]
Step-by-step explanation:
Answer:
r<=12.5
Step-by-step explanation:
87.5-150 = -62.5
-62.5/-5 = 12.5
you multiplied by a negative so the symbol switches
<=
Find the missing side of each triangle. Leave your answer in simplest radical form.
(Please show ur work)
Answer:
x=[tex]\sqrt{220}[/tex]
Step-by-step explanation:
Since this is a right angle triangle, and we have two lengths already found, we can use pythagoras to find x.
We know that
a²+b²=c²
Where a, and b are the smaller lengths (the adjacent and opposite), and C is always the longest one (the hypotenuse).
In this case,
x=a
b=6
c=16
So to plug these into the equation, we get:
x²+6²=16²
To isolate x,
we get:
x²=16²-6²
x=[tex]\sqrt{16^2-6^2}[/tex]
[tex]x=\sqrt[]{220}[/tex]
_________
[tex] \: [/tex]
x² = 16² - 6²
x² = 256 - 36
x² = 220
x = √220
x ≈ 14.9cm
7. a Police can estimate the speed of a vehicle before the brakes are applied using the formula
0.75d =
s°
30.25
where s is the speed in miles per
hour and d is the length of the vehicle's skid
marks. What was the approximate speed of a vehicle that left skid marks measuring 140 feet?
O about 10 miles per hour
O about 75 miles per hour
about 15 miles per hour
about 56 miles per
hour
Answer:
A
Step-by-step explanation:
Question
The formula for simple interest is I=Prt.
Solve the formula for t.
We can solve for t by making it the subject of the equation.
since I = Prt [divide both sides by Pr]
∴ I = t Prdo question four plzzz
Answer:
B
Step-by-step explanation:
help pls im in need!!
Answer:
x=-23
Step-by-step explanation:
-0.48x+0.28=4.6
-0.2x=4.6
x=-23
Answer:
it’s -0.2x =4.6
Step-by-step explanation:
X = -23 is the answer for the equation but
your asking for what the number is before the x right
it’s -0.2x =4.6
than multiple both sides by 10
divide both sides by -2
simplify
X=-23
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:
At a local fitness, members pay a $6 membership fee and $3 for each aerobics class. Nonmembers pay $4 for each aerobics class. For what number of aerobics classes will the cost for members and nonmembers be the same?
Answer:
4 classes
Step-by-step explanation:
1. Write an equation for the cost for both members and nonmembers, in which x is the number of aerobics classes.
Cost = 3x + 6 for members
Cost = 4x for nonmembers
2. Set the equations to equal each other and solve.
3x + 6 = 4x
-3x -3x
6 = x
3. Check your answer
4*6 = 24
(3*6) + 6 = 24
For 4 aerobics classes, the cost for members and nonmembers is the same.
5. In your part-lime job selling kitchen knives, you have two different sets available.
The better sel sells for $35, the cheaper set for $20. Last week you sold more of the
cheaper set, in fact Iwice as many as the better sets. Your receipts for the week totaled
$525. How many of the better sets did you sell?
Answer: 8.75
Step-by-step explanation:
575 divided by 3 equals 175. Divided by 20 equals 8.75. Probably rounds up to 9 but i dont know.
Determine a series of transformations that would map polygon ABCD onto polygon A’B’C’D’?
Answer:
A Translation 4 units leftwards followed by a reflection across the x-axis.
Step-by-step explanation:
he transformations are:
Translation 4 units leftwards.
Reflection across the x-axis.
You can deduct this transformations by using one vertex. Notice that E(4, -9) and E'(0, 9). You can observe that the transformed coordinate has the inverse y-coordinate, which indicates a x axis reflection. Also, it was shifted 4 units leftwards only.
10. If you can travel 97 miles in 30 minutes, how many mileScan you
travel at the same rate in 8 hours?
A sample of 2,000 union members was selected, and a survey recorded their opinions regarding a proposed management union contract. A total of 1,600 members were in favor of it. A 95% confidence interval estimated that the population proportion was between 0.78 and 0.82. This indicates that about 80 out of 100 similarly constructed intervals would include the population proportion.
a. True
b. False
Answer:
a
Step-by-step explanation:
True, the 95% confidence interval suggests that there is a high likelihood (about 80 out of 100 intervals) that the true population proportion of union members in favor of the proposed management union contract falls between 0.78 and 0.82.
The confidence interval estimated for the population proportion of union members in favor of the proposed management union contract was between 0.78 and 0.82, with a confidence level of 95%.
The confidence level represents the probability that the interval contains the true population parameter.
In this case, with a confidence level of 95%, it means that if we were to repeat the survey and construct 100 similar confidence intervals, approximately 95 of those intervals would contain the true population proportion.
Therefore, when it is stated that "about 80 out of 100 similarly constructed intervals would include the population proportion," it means that the estimated confidence interval aligns with the confidence level of 95%, indicating that approximately 80% of those intervals would contain the true population proportion.
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What is the distance between W(3, 1) and X(-2,-5)? Round to the nearest tenth.
10
A. 61.0
B. 3.3
C. 2.2
D. 7.8
Answer:
D. 7.8
Step-by-step explanation:
Distance formula: [tex]\sqrt{(x_{2} - x_{1})^2 +( y_{2} - y_{1})^2 }[/tex]
Substituting (-2 - 3)² + (-5 - 1)²
Distance = [tex]\sqrt{(-5)^2 + (-6)^2}[/tex]
Distance = [tex]\sqrt{25 + 36}[/tex]
Distance = 7.8
tbh ive fogotten how to do all of these so plz helpppppppppp
Answer:
16.26°
Step-by-step explanation:
Start by labelling the given sides of a triangle as either adjacent, opposite or hypotenuse side.
• Adjacent side: side on which the right angle and angle of interest lie
• Opposite side: side facing the angle of interest
• Hypotenuse side: side facing the right angle
In this case, the side with '24' is the adjacent side while the side with '7' is the opposite side.
Given these two sides, we use tangent to find the unknown angle.
[tex]\boxed{ \tanθ = \frac{opp}{adj} }[/tex]
[tex] \tanθ = \frac{7}{24} [/tex]
Tasking the inverse of tangent on both sides:
[tex]θ = \tan^{ - 1} ( \frac{7}{24} ) [/tex]
θ= 16.260° (3 d.p.)
Thus, the second option is correct.
Notes:
[tex]\boxed{ \sinθ = \frac{opp}{hyp} }[/tex]
[tex]\boxed{ \cosθ = \frac{adj}{hyp} }[/tex]
...
PLEASE HELP!!
What is the equation of the line —3x – 2y = 30 in slope-intercept form?
Answer:
2nd option
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
- 3x - 2y = 30 ( add 3x to both sides )
- 2y = 3x + 30 ( divide terms by - 2 )
y = - [tex]\frac{3}{2}[/tex] x - 15 ← in slope- intercept form
7 find the missing length
Answer:
8km
Step-by-step explanation:
it is 8km because it is not that much bigger than 6km
Answer:
C) 8 km
Step-by-step explanation:
x is another leg next to 6.
10 is the hypotenuse.
a^2 + b^2 = c^2
a & b are legs and c is the hypotenuse.
x^2 + 6^2 = 10^2
x^2 + 36 = 100
x^2 = 100 - 36
x^2 = 64
√x^2 = √64
x = 8
P.S It may look just slightly different, but your teacher or the program did not make it up to scale.
Hope This Helps! •v•
Bacteria can multiply at an alarming rate when each bacteria splits into two new cells, thus doubling. If we start with only one bacteria which can double every hour, how many bacteria will we have by the end of any day?
Answer:
16777216
It took a lot of space on the calculator
can anyone plz tell me how to lucid dream tonight without an alarm im 13 and i never had one ill give brainliet
get a journal and pencil and when you go to sleep, don't put on any alarms. then write down in the morning what you dreamt about. every detail you can thing of. if you have the dream again, write down more details. this will help you begin to lucid dream.
What is the arithmetic mean between 35 and 105?
A 60
C. 70
B. 65
D. 75
with formula of solutions,thanks
Answer:
70
Step-by-step explanat
cộng lại chia đôi
PLEASE HELP WILL MARK BRAINLIEST!
Answer:
P of rectangle = 2(L + W)
21 units = 2(n units + W)
21 units = 2nunits + 2W
21 = 2n + 2W
2W = 21 - 2n
W = 21 - 2n units.
2
on simplifying
10.5 - n units
The width of the rectangle is units (10.5 - n) units.
Given f(x) = 10x.
a. Graph b(x) = f(x) - 30. Then complete the table of corresponding points for b(x)
Answer:
b(x) = 10x - 30
Step-by-step explanation:
You are given that f(x) = 10x, so in-order to graph the equation, you must plugin the value of f(x).
This gives the equation b(x) = 10x - 30
or y= 10x - 30
The slope of the linear function → b(x) = f(x) - 30 is [m] = 10 and the [y] intercept is at [c] = - 30
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
Given is the function -
f(x) = 10x
We have the function -
f(x) = 10x
Now -
b(x) = f(x) - 30
b(x) = 10x - 30
This is the equation of a straight line.
Refer to the graph attached.
The slope of the line is [m] = 10
The [y] intercept is at [c] = - 30
Therefore, the slope of the linear function → b(x) = f(x) - 30 is [m] = 10 and the [y] intercept is at [c] = - 30
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A ship starts at sea level and then descends 20 feet in 4 1/2 minutes. How many feet did it descend per minute?
How many feet would it descend in 8 minutes?
Answer:
1. 4 1/2 can be converted into 4.30 / 20 = 0.125f per minute
2. it would descend 4.64 or 5f rounded in 8 minutes (8/0.125)
Answer:
4.45 feet p/m
35.56 feet per 8 minutes
Step-by-step explanation:
20 / (60x4.5) = 60 seconds = ( 1 x 4.5 minutes)
20/270=0.0740740741 1 = multiplier of feet/seconds
60 x 0.0740740741 1 =4.44444445 feet in one minute = 4.45feet
60 x 8 = 480 seconds (1 x 8 minutes)
480 x 0.0740740741 1 =35.5555556 feet
= 35.56feet in 8 minutes
Choose the option that best describes what it means to get 70% on a test.
If there were 70 points possible, you earned all of them.
If there were 100 points possible, you earned 7.
If there were 100 points possible, you earned 30.
O If there were 100 points possible, you earned 70.
Answer:
If there were 100 points possible, you earned 70.
Step-by-step explanation:
So 70% means 70 per cent which means 70 parts per 100 parts. So this means that out of the total 100 maximum possible points, you have earned 70 of them but did not earn 30
by factoring out the GCF what is 12r-4?
Answer:
4(3r-1)
Step-by-step explanation:
GCF is the highest number that divides exactly into two or more numbers. In this case, it would be 4 because it's the largest number that both 12 and 4 divide into.
A cleaning solution uses 5 cups of soap for every 2 cups of vinegar. If Emery put 4 cups of soap in a container, how
many cups of vinegar must she use?
1.6 cups of vinegar used for 4 cups of soap.
What is Unitary Method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
For 5 cups of soap = 2 cups of vinegar
For 1 cups of soap = 2/5 cups of vinegar used.
Now we have to find how much vinegar required for 4 cups of soap.
So, for 4 cups of soap
=2/5 * 4
=8/5
=1.6 cups of vinegar used.
Hence, 1.6 cups of vinegar used.
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Jada and her friends want to go indoor skating on Saturday night. Jacaranda Skating Zone charges $40 for entry and $12 per hour to skate, while Wiles Skating Zone charges $10 for entry and $22 per hour to skate. At how many hours would it be the same cost at either skating zones?
At 3 hours both Jacaranda and Wiles would have the same cost
Let y represent the total charges by Jacaranda and x represent the number of hours. Hence:
y = 12x + 40
Let z represent the total charges by wiles and x represent the number of hours. Hence:
z = 22x + 10
Since they are to have the same cost, hence:
y = z
12x + 40 = 22x + 10
10x = 30
x = 3 hours
Therefore at 3 hours both Jacaranda and Wiles would have the same cost.
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RIGHT
ACUTE
OBTUSE
EQUIANGULAR
Step-by-step explanation:
option B is correct answer ( Acute angle triangle)
hope this helps you.
Answer:
Acute triangle
Step-by-step explanation:
Acute triangle have less than 90 degrees
What is the change from -1 to 7
