Answer:
34.5
Step-by-step explanation:
17 + 70/x when x = 14.
substitute x for 14
17 + 70/4
17 + 17.5
34.5
Maria has 14 fewer apps on her phone than Orlando. If the total number of apps on both phones is 34, how many apps are on each phone?
Setting up and equation from the word problem, Orlando has 24 apps on his phone, and Maria has 10 apps on her phone.
How many apps are on each phone?Let's assume that Orlando has x number of apps on his phone. According to the given information, Maria has 14 fewer apps, so the number of apps on Maria's phone would be (x - 14).
The total number of apps on both phones is 34, so we can set up the equation:
x + (x - 14) = 34
Simplifying the equation:
2x - 14 = 34
Adding 14 to both sides:
2x = 48
Dividing both sides by 2:
x = 24
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4. Amy, Betty and Carol have 96 books altogether. Betty has 6 books less than Amy and Carol has half as many as Betty. How many books does each girl have?
The Amy has 42 books, Betty has 36 books, and Carol has 18 books.
Let's set up equations to represent the given information:
Let A represent the number of books Amy has.
Let B represent the number of books Betty has.
Let C represent the number of books Carol has.
Let's say Amy has x books.
Betty has 6 books less than Amy, so Betty has (x - 6) books.
Carol has half as many books as Betty, so Carol has (x - 6)/2 books.
According to the problem, the total number of books they have is 96.
So, we can write the equation:
x + (x - 6) + (x - 6)/2 = 96
To solve the equation, we can simplify it by multiplying through by 2 to remove the fraction:
2x + 2(x - 6) + (x - 6) = 192
2x + 2x - 12 + x - 6 = 192
5x - 18 = 192
5x = 210
x = 42
Amy has 42 books.
Betty has (42 - 6) = 36 books.
Carol has (36)/2 = 18 books.
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K
A random sample of 1008 adults in a certain large country was asked "Do you pretty much think televisions are a necessity or a luxury you could do without? Of the 1008
adults surveyed, 511 indicated that televisions are a luxury they could do without. Complete parts (a) through (e) below.
(a) Obtain a point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without.
(Round to three decimal places as needed.)
The point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without is 0.5069.
Is a survey population or sample?A population is described as a collection of people who belong to the same species and cohabit in a certain region. In order to survive throughout time, individuals of a population frequently rely on the same resources, are susceptible to the same environmental restrictions, and depend on the availability of other members.
A sample is a more limited representation of the population as a whole. It serves as a good sample for a study's population. The people who are invited to participate in surveys are considered the sample while conducting them.
Let assume,
x be the population who believe that televisions are a luxury
n is the random sample of adults.
So, x = 511, n = 1008
Thus, population, p = x/n
or, p = 511 /1008
or, p = 0.5069
Thus, The point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without is 0.5069.
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A training field is formed by joining a rectangular and two semicircles. The rectangle is 95 m long and 74m wide. Find the area
Answer:
7030
Step-by-step explanation:
The area is calculated by multiplying the lengths of two adjacent sides of a rectangle.
To find the area of a rectangle, multiply the length by the width.
Formula: A = L * W where A is the area, L is the length, W is the width, and * means multiply.
Since the length is 74 and width is 95.
Multiply 74 with 95, you get 7030.
So the answer is 7030, this can be also written as "A = 74 * 95".
Please hurry need help, Answer choices-
A.9
B.-2
C.11
D.3
The numerical value of x in angle ABD is 9 as angle ABC is divided into two equal halves.
What is the numerical value of x?An angle bisector divided an angle into two equal halves.
From the diagram:
Line BD divides angle ABC into two equal halves.
Angle ABD = ( 3x - 7 ) degrees
Angle DBC = 20 degrees
Since angle ABD and DBC are equal haves;
Angle ABD = Angle DBC
Plug in the values:
( 3x - 7 ) = 20
Solve for x:
3x - 7 = 20
Add 7 to both sides:
3x - 7 + 7 = 20 + 7
3x = 27
x = 27/3
x = 9
Therefore, the value of x is 9.
Option A)9 is the correct answer.
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Find the exact value of x.
.
4
6
X =
Do the side lengths form a Pythagorean triple?
yes
no
Step-by-step explanation:
\( \hookrightarrow \: b =4\: and \: p =6\)
Now,
\( \hookrightarrow \: h = \sqrt{ {p}^{2} + {b}^{2} } \\ \hookrightarrow \: h = \sqrt{ {6}^{2} + {4}^{2} } \\ \hookrightarrow \: h = \sqrt{52} \\ \hookrightarrow h = 2 \sqrt{13} \)
So far, I got 3 out of 5 but I don't know the rest
The indicated 40% of the people who are female and 10% female who are left-handed indicates;
The percentage of people who are not female who are left handed is 16.8%What is a percentage?A percentage is the representation of a quantity as a fraction with a denominator of 100.
The percentage of females in the town = 40%
The percentage of the females that are left handed = 10%
The percentage of left handed people in the town = 20.8%
Let F represent the females, let L represent the left handed, and let U represent all the people in the town, we get;
The percentage of the people that are both females and left handed is therefore;
P(F ∩ L) = 10% × 40% = 4%
Therefore, in 100 people in the town, 4 are female and left handed, which indicates;
20.8 percent of all people in the town are left handed, therefore, in 100 people, 20.8 are left handed
The number of people that are left handed but not female is therefore;
20.8 - 4 = 16.8
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Determine the turning points and distinguish between them when necessary y=x³ - 3x - 9x + 4
The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).
To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.
1. Find the derivative of the function:
y' = 3x² - 6x - 9
2. Set the derivative equal to zero and solve for x:
3x² - 6x - 9 = 0
3. Factorize the quadratic equation:
3(x² - 2x - 3) = 0
4. Solve the quadratic equation by factoring or using the quadratic formula:
(x - 3)(x + 1) = 0
This gives us two possible values for x: x = 3 and x = -1.
5. Substitute these critical points back into the original function to find the corresponding y-values:
For x = 3:
y = (3)³ - 3(3)² - 9(3) + 4
= 27 - 27 - 27 + 4
= -23
For x = -1:
y = (-1)³ - 3(-1)² - 9(-1) + 4
= -1 - 3 + 9 + 4
= 9
6. Therefore, the turning points are (3, -23) and (-1, 9).
Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.
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How many pounds are in 1.2 tons
Answer: 2,400
Step-by-step explanation: Multiply the mass value by 2000
Answer:
2400 pounds
Step-by-step explanation:
1 ton is 2000 pounds
So we can multiply the number of tons by 2000 to get the answer.
1.2 * 2000 = 2400 pounds
May I please have a Brainliest? I put a lot of thought and effort into my answers, so I would really appreciate it!
which property is illustrated by the following ?
if r = -12, then r - 16 = -28
Write as a money amount and as a decimal in terms of dollars 42\100
Assume that a sample is used to estimate a population mean
μ
. Find the margin of error M.E. that corresponds to a sample of size 17 with a mean of 54.8 and a standard deviation of 18.6 at a confidence level of 99%.
Report ME accurate to one decimal place because the sample statistics are presented with this accuracy.
M.E. =
please help want! easy thank you so much!!
7. Serena estimates that she can paint 40 square feet of wall space every half-hour. Can Serena paint at least 180 square feet of wall space in 2.5 hours? Why or why not?
A. Yes, 180(2.5)= 450, and 450 > 180
B. Yes, 80(2.5) = 200, and 200 > 180
C. No, 40(2.5) = 100, and 100 < 180
D. No, 80(0.5)= 40, and 40 < 180
B. Yes, 80(2.5) = 200, and 200 > 180
Step-by-step explanation:1. Addition:If Serena can paint 40 square feet in 30 minutes, then:
40 + 40 = 80 sq. ft.
30 + 30 = 1 hour
80 + 40 = 120 sq. ft.
60 + 30 = 1.5 hours
120 + 40 = 160 sq. ft.
90 + 30 = 2 hours
160 + 40 = 200 sq. ft.
120 + 30 = 2.5 hours
So, what I just did was adding the 30 minutes and the 40 square feet at the same time until I got to 2.5 hours, and seeing if I also got to 180 square feet. Which I did. I actually got to 200 sq. ft. That means our answer is B. Yes, 80(2.5) = 200, and 200 > 180
Solution:
B. Yes, 80(2.5) = 200, and 200 > 180
I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!
Draw a box between the
A. minimum; maximum
B. first quartile; third quartile
C. second quartile; third quartile
D. first quartile; second quartile
and
Draw a box between the first quartile; third quartile
What is the coefficient in the second term, 6x - 2y + 2?
Answer:
-2
Step-by-step explanation:
since the second term is -2y the coeffencent is -2
como me llamo respondan no me acuerdo
Answer:
TE YAMAS JOSE??? Porque no te acuerdas?
Step-by-step explanation:
chicaliza44 es su nombre de usuario. No sé de qué nombre estás hablando. como en la vida real o mentalmente
Some students are making muffins for a fundraiser. They have already made 80 muffins
and they can make 30 muffins in an hour. How many additional hours would they spend
to make 380 muffins?
Answer:
10 hours
Step-by-step explanation:
380 - 80 = 300
30 : 1 = 300 : x
x = 300 / 30
x = 10
HELP PLEASE WILL GIVE BRAINLIEST BE QUICK
Answer:
(2,0) and (4,0)
Step-by-step explanation:
The roots of the parabola are the points where the value of the function is zero, i.e., where the graph crosses the x-axis.
(2,0) and (4,0)
4(5 + 4n) = 84
Pls help I need shown work to pls
Step-by-step explanation:
4(5+4n)=84
20+16n=84
16n=84-20
16n=64
n=64/16
So, N= 4
Nathan and Olivia are saving money for school supplies. Nathan saves $2 per
week and already has $30 in his bank. Olivia saves $4 per week and has $10 in her
bank. After how many weeks will they have tha same amount of money in their
bank accounts? *
7 weeks
9 weeks
11 weeks
10 weeks
8 weeks
n: 2x + 30
o: 4x + 10
4x + 10 = 2x + 30
2x = 20
x = 10
in 10 weeks
From the top of the 140-foot high tower, an air traffic controller observes an airplane on the runway at an angle of depression of 18°.
18°
140 ft
How far is it from the base of the tower to the airplane? Round your answer to the nearest tenth of a foot.
Answer:
Step-by-step explanation:
The angle of depression is the downward angle the air traffic controller
looks down from in the tower. It also equals the angle of elevation which is the angle formed by the runway and the line of sight.
With this information you can find the remaining angle:
180 - (90 + 18)
180 - 108 = 72
Let Angle B = 72°
Angle A = 18°
Angle C =90°
We have one side - 140 feet - this is side a - it is across from angle A.
There is a right triangle formed by the runway (side b) the tower, side a, and the line of sight (side c)
Using the law of sines:
sin A/a = sinB/b
sin 18°/a = sin72°/b
.3090/140 = .9510/x
cross multiply and then divide
140 × .9510/.3090
133.14/.3090
430.873 ft
round to a tenth = 430.9 ft
Which expression is equivalent to 16x16x16
Answer:
16^3
Step-by-step explanation:
16 x 16 x 16 is the same thing as 16 to the 3rd power. The power is how many times you multiply the number by itself.
Which of the following is equivalent to (a + b/2) ^2?
2a + 2* 4/b
2a + 4/b + 4/b^2
a^2 + 4ab + 4b^2
a^2 + 4a/b + 4b^2
a^2 + 4a/b + 4/b^2
Answer:
a^2 + 4a/b + 4/b^2
Step-by-step explanation:
Which of the following is equivalent to (a + b/2) ^2?
The expression (a + b/2)² is equivalent to (a² + b²/4 + ab).
What is algebraic expression?In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations.
Given is the algebraic expression as -
(a + b/2)²
We can write -
(a + b/2)² = a² + (b/2)² + 2 × a × b/2
(a + b/2)² = a² + (b/2)² + ab
(a + b/2)² = a² + b²/4 + ab
Therefore, the expression (a + b/2)² is equivalent to (a² + b²/4 + ab).
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Help&EXPLAIN
Don’t use for points or will be reported and I’ll take the points back
Answer:
i guess the answer maybe A
Need help ASAP on a timer
Answer:
1/2
Step-by-step explanation:
A student is growing two plants for a science experiment. Each plant was a different height at the start of the experiment. Plant A was given only water and plant B was given water and food. The system of equations show how the heights of the plants, y, in inches have change over x weeks. Plant A: y = 8 + ½ x Plant B: y = 4 + (5/4) x
Answer:
A: 12.5 per week B= 12.75
Step-by-step explanation:
1/2 times 7 (days in a week) is 3.5. So A is 8+3.5=12.5. 7 times 5/4 is 8.75. So B is 4+8.75=12.75
Factor 40r^3-156r^2+108r
Answer:
4r(10r-9)•(r-3)
Steps:
\(40r^{3}-156r^{2}+108r\)
\(4r(10r^{2}-39r+27)\)
4r(r•(10r-9)-3(10r-9)
4r(10r-9)•(r-3)
Help plzzzzz I need to finish this
Answer:
F i think
Step-by-step explanation:
it starts at 3 and goes up 2.50 each time so it is the most reasonable
Suppose that a fashion company determines that the cost, in dollars, of producing x cellphone cases is given by C(x)equalsnegative 0.05 x squared plus 55 x. Find StartFraction Upper C (251 )minus Upper C (250 )Over 251 minus 250 EndFraction , and interpret the significance of this result to the company. StartFraction Upper C (251 )minus Upper C (250 )Over 251 minus 250 EndFraction equals nothing (Simplify your answer.) Interpret the significance of this result to the company. Choose the correct answer below. A. It represents the additional cost to produce one more item after making 250 items. B. It represents the additional cost to produce one item after the fixed costs have been paid. C. It represents the average cost per item to produce 250 items. D. It represents the average cost of producing 251 items.
Answer:
(a)$29.95
(b)A
Step-by-step explanation:
The cost, in dollars, of producing x cellphone cases is given by:
\(C(x)=-0.05 x^2+55 x.\)
We are required to evaluate: \(\dfrac{C(251)-C(250)}{251-250}\)
\(C(251)=-0.05(251)^2+55(251)=10654.95\\C(250)=-0.05(250)^2+55(250)=10625\\\text{Therefore:}\\\\\dfrac{10654.95-10625}{251-250}=29.95\)
\(\dfrac{C(251)-C(250)}{251-250}=\$29.95\)
The value calculated above represents the additional cost to produce one more item after making 250 items.
Given f(4)= -5, correct the error from below and then write the equation of the line that is perpendicular to the line 3y=x+6 in Standard form.
y-5= -3(x-4)
y-5= -3x+12
y= -3x+17