The solution to the equation one-third (x + 9) = negative 12 is x = -45
How to solve the equation?The equation is given as:
one-third (x + 9) = negative 12
Rewrite properly as:
1/3 (x + 9) = -12
Multiply both sides by 3
x + 9 = -36
Subtract 9 from both sides
x = -45
Hence, the solution to the equation one-third (x + 9) = negative 12 is x = -45
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the ratio of new airplanes to old air planes in a fleet of 720 planes of which 240 are old airplanes
Answer:2
Step-by-step explanation:(720-240)/(240)
Make this into an expression. the product of four and a number, divided by seven
Answer:
4x ÷ 7
Step-by-step explanation:
the product of 4 and a number (x)
would be 4x. Then you would divide by 7.
RATIONAL EXPONENTS pls help what do i do??
Answer:
x = 3
Step-by-step explanation:
[tex]26=-1+(27x)^{\frac{3}{4}}[/tex][tex]\implies 26+1=27^{\frac{3}{4}} x^{\frac{3}{4}}[/tex][tex]\implies 27\div 27^{\frac{3}{4}} =x^{\frac{3}{4}}[/tex][tex]\implies 27^{1-\frac{3}{4}} =x^{\frac{3}{4}}[/tex][tex]\implies 27^{\frac{4-3}{4}} =x^{\frac{3}{4}}[/tex][tex]\implies 27^{\frac{1}{\cancel 4}} =x^{\frac{3}{\cancel 4}}[/tex][tex]\implies 27 =x^{3}[/tex][tex]\implies 27^{\frac{1}{3}} =x[/tex][tex]\implies (3^3)^{\frac{1}{3}} =x[/tex][tex]\implies x = 3[/tex]Answer:
x = 3Step-by-step explanation:
[tex]26=-1+\left( 27x\right)^{\frac{3}{4} }[/tex]
[tex]\Longleftrightarrow 27=\left( 27x\right)^{\frac{3}{4} }[/tex]
[tex]\Longleftrightarrow \left( 27\right)^{\frac{4}{3} } =\left[ \left( 27x\right)^{\frac{3}{4} } \right]^{\frac{4}{3} }[/tex]
[tex]\Longleftrightarrow \left( 27\right)^{\frac{4}{3} } =\left( 27x\right)^{\frac{3}{4} \times \frac{4}{3} }[/tex]
[tex]\Longleftrightarrow \left( 27\right)^{\frac{4}{3} } =27x[/tex]
[tex]\Longleftrightarrow x=\frac{27^{\frac{4}{3} } }{27}[/tex]
[tex]\Longleftrightarrow x=27^{\frac{4}{3} -1}[/tex]
[tex]\Longleftrightarrow x=27^{\frac{1}{3} }[/tex]
[tex]\Longleftrightarrow x=\sqrt[3]{27}[/tex]
[tex]\Longleftrightarrow x=3[/tex]
If u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to (StartFraction u Over v EndFraction) (x)?
x3 – x2
–x3 + x2
–x3 + x2 – 1
x3 – x2 + 1
Based on the calculations, an expression which is equivalent to [u/v](x) is: C. -x³ + x² - 1.
Given the following data:
u(x) = x⁵ – x⁴ + x²v(x) = -x²What is an expression?An expression is a mathematical equation which is used to show the relationship that exist between two or more numerical quantities or variables.
In this exercise, we would evaluate the given expressions by factorizing the function u(x) as follows:
u(x) = x⁵ – x⁴ + x²
u(x) = x²(x³ – x² + 1)
Rewriting the expressions as a fraction, we have:
[tex]\frac{u(x)}{v(x)} = \frac{x^2(x^3 - x^2 + 1)}{-x^2}\\\\\frac{u(x)}{v(x)} = -(x^3 - x^2 + 1)\\\\\frac{u(x)}{v(x)} = -x^3 + x^2 - 1[/tex]
Therefore, u(x)/v(x) = -x³ + x² - 1.
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Answer:
c
Step-by-step explanation:trust
In a mathematic test 30 students obtained the following scores
3,4,7,2,9,5,2,1,8,2,3,6,9,3,4,3,4,1,5,3,3,1,7,7,7,5,6,4,6,5
a) Prepare a frequency table for the data
b) Draw a pictogram
c) Construct a barchart
Answer:
a) Prepare a frequency table for the data
Step-by-step explanation:
This Week's High Temperatures (°F)
29, 38, 45, 31, 50, 58, 62
Last Week's High Temperatures (°F)
44, 31, 66, 32, 26, 58, 78
Which measures of center and variability for the
temperatures were lower this week than last week?
Check all that apply.
mean
median
mode
range
mean absolute deviation
Done
The measures of center and variability for the
temperatures that were lower this week than last week include mean, range, mean absolute deviation.
What is a mean?It should be noted that a mean simply means the average set if numbers given.
Also, the range is the difference between the highest number and the lowest number in the data.
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Answer:
mean,range,mean absolute deviation
Step-by-step explanation:
just took it on edge
The diagram shows a rectangle. The area of the rectangle is 310 m². Work out the value of w when 5x-9 is the length and 3x+7 is the another length
Answer:
w = 10
Step-by-step explanation:
First we take the two values for the breadth of the rectangle
So:
5x - 9 = 3x + 7
now we solve this equation as follows:
5x - 3x = 9 + 7
2x = 16
x = 8
now that we have found the value for x, we can substitute it in the equation, 5x - 9,or in the equation, 3x + 7.
when we substitute x in any of these equations, we get
5(8) - 9 = 31
3(8) + 7 = 31
now that we have the value for the breadth we can form the following equation:
31 × w = 310
31w = 310
w = 310/31 = 10
Answer:
10
Step-by-step explanation:
Firstly, we find the value of X
since 5X-9 and 3X+7 are lenghts
5X-9= 3X+7
5X-3X= 7+9
2X = 16
dividing bothsides by 2
2X/2= 16/2
X = 8
Hence,
5X-9= 5(8)-9= 40-9 = 31
3X+7=3(8)+7= 24+7= 31
To find the width
Area= lenght×width
310= 31×w
31w= 310
w= 310/31
W= 10
Using the information in the diagram, what is the height of the tree to the nearest foot?
45 ft
54 ft
60 ft
135 ft
Answer:
60 ft
Step-by-step explanation:
a = 90
b = 108ft
the base angle can be found by using sin(x) = 120/108x2
=> x = 33.7 degrees
To find height, use tan(33.7) = Opp/ Adjacent = x / 90
=> x = 60.02 or 60 ft
Geometry, Angles questions
Answer:
X= 82⁰
z= 82⁰
Step-by-step explanation:
for X:
we can use co-interior angles sum up to make 180 so,
x+ 98= 180
x= 180-90= 82⁰
for z, we can use either angles on a straight line or corresponding angles
using angles on a straight line,98 + z= 180
z= 180-98= 82⁰
using corresponding anglescorresponding angles are always equal and can be found in the F shape diagram when lines are parallel
therefore X and z are corresponding angles and since we found x= 82⁰ then z= 82⁰
If f(x)=2 sin 3x+C, then the maximum value of f(x) is:
1)C
2) C+2
3) C+3
4) C+6
Reason:
The largest sin(x) can get is 1, and the same goes for sin(3x).
Consequently, the largest 2sin(3x) can get is 2.
You can visually verify these claims by graphing each function with a tool like Desmos. Take note of the y coordinate of the highest points. See below.
Therefore, the largest f(x) = 2sin(3x)+C can get is 2+C or C+2
Use the equation of y = 1.5x +5 to predict the amount of milk needed for a 17-pound goat and a 55-pound goat
The amount of milk needed for a 17-pound goat and a 55-pound goat are 55 and 87.5 cubic units, respectively
How to determine the amount of milk?The equation is given as:
y =1.5x + 5
For a 17-pound goat, we have:
x = 17
This gives
y =1.5 * 17 + 5
y = 30.5
For a 55-pound goat, we have:
x = 55
This gives
y = 1.5 * 55 + 5
y = 87.5
Hence, the amount of milk needed for a 17-pound goat and a 55-pound goat are 55 and 87.5 cubic units, respectively
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Which of the following is most likely the next step in the series?
Answer:
C
Step-by-step explanation:
Option C is correct, the polygon in c option is the next step in the series
What is Polygon?A polygon is a plane figure made up of line segments connected to form a closed polygonal chain.
In the first step we can see a triangle
The triangle has three sides
In the second step there is a rectangle which has four sides
The third step has pentagon which has five sides
So in next step the polygon should have six sides
Hexagon is the next step in the series
Hence, option C is correct, the polygon in c option is the next step in the series
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Guys help me with a) and b) tasks
ANSWER:
a) 40
b) 25
Thanks<3
Step-by-step explanation:
there are 2 similar triangles : ABE and DCE
that means they have the same angles, and the scaling factor from one triangle to the other is the same for every side.
and that means that
DE/AE = EC/BE (= DC/AB)
we know that
AE = AD + DE
BE = BC + EC
a.
so, we have actually
DE/(AD+DE) = EC/(BC+EC)
DE/(10+DE) = 8/(2+8) = 8/10 = 4/5
DE = 4(10+DE)/5
5DE = 4(10+DE) = 40 + 4DE
DE = 40 cm
b.
AD/DE = 3/5
BC/EC must be 3/5 too.
15/EC = 3/5
15 = 3EC/5
75 = 3EC
EC = 25 cm
enter a number in the box so that the equation will have infinitely many solutions.
Answer:
5
Step-by-step explanation:
10c+15=5(2c+3)
use distributive property
10c+15=10c+15
Hope this helps!
If not, I am sorry.
Answer:
You would have to insert 5 for there to be infinite solutions.
solve for x !
[tex]x {}^{2} + 5x + 6 = 0[/tex]
ty! ~
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve for x ~
[tex]\qquad \sf \dashrightarrow \: {x}^{2} + 5x + 6 = 0[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{2} + 3x + 2x + 6 = 0[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{}( x+ 3) + 2(x + 3)= 0[/tex]
[tex]\qquad \sf \dashrightarrow \: {}^{}( x+ 2)(x + 3)= 0[/tex]
[tex] \begin{cases} \sf \: x = - 2 \: \: \: \: \: \: \: \sf if \: (x + 2) = 0 \\ \\ \sf \: x = - 3 \: \: \: \: \: \: \: if \: (x + 3) = 0\end{cases} [/tex]
I hope that helps ~
You toss a coin and roll a number cube. The table shows the sample space,
where H means heads, T means tails, and the numbers represent the number
cube roll?
What is the probability of tossing heads and rolling a number less than 3?
A.1/4
B.1/3
C.1/6
D.1/2
Please help me on this and answer quickly if you get it correct and I’ll give brainlist if you don’t I won’t give brainlist but hurry please!!
Using it's concept, it is found that the probability of tossing heads and rolling a number less than 3 is given by:
C. 1/6
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there were 12 trials. Of those, 2 are H1 and H2, which are heads and a number less than 3, hence the probability is given by:
p = 2/12 = 1/6.
Which means that option C is correct.
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a school spent 150$ on advertising for a breakfast fundraiser each plate of food was sold for 8.00$ but cost the school 2.00$ to prepare after all expenses were paid the school raised 2,400$ at the fundraiser . which equation can be used to find x the number of plates that were sold?
Answer:
375 plates were sold
Step-by-step explanation:
$2400 (profit) - $150 (advertising) = $6 (profit per plate $8 cost - $2 expense) times x
2400 - 150 = 6x
Simplify the left side: 2400 - 150 = 2250
2250 = 6x
Divide both sides by 6
2250/6 = 375
13 = m/4 + 7 can you show work too
The correct value of this equation is m = 24
Resolution methodThis equation contains a fractional term. We note that the denominator of this equation is the term 4. Therefore, we will multiply the sides by 4:
13 = m/4 + 7
13 . 4 = 4(m/4) + 7 . 4
52 = m + 28
Now, let's isolate the variable "as negative" and after the equality - we'll be subtracting the terms:
52 = m + 28
-m = 28 - 58
-m = -24
m = 24
Therefore, the correct value of this equation will be m = 24
Select the correct answer from each drop-down menu. two six-sided fair dice are rolled simultaneously. the probability that the sum of the two numbers rolled is greater than 3, given that the sum of the numbers is not greater than 5, is . the probability that one of the numbers is a 6 and the sum of the two numbers is an odd number is .
Two six-sided fair dice are rolled simultaneously.... 6 and the sum of the two numbers is an odd number is mathematically given as
x=7/10
What is the sum of the two numbers?Generally, the equation for Number is mathematically given as
[tex]x=P\frac{E > 3}{Enot > 5}\\\\Therefore\\\\x=P\frac{E > 3}{E\leq5}\\\\x=P\frac{4\leq E \leq5}{E\leq5}\\\\x=P\frac{7/36}{10/36}[/tex]
x=7/10
In conclusion, the sum of the two numbers
x=7/10
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Alex got 27 questions out of 30 correct. what present of the questions did he get correct?(use fish method)
if we take 30 to be the 100%, what is 27 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 30 & 100\\ 27& x \end{array} \implies \cfrac{30}{27}=\cfrac{100}{x} \\\\\\ \cfrac{10}{9}=\cfrac{100}{x}\implies 10x=900\implies x=\cfrac{900}{10}\implies x=90[/tex]
What is the (LCM) of 5/6 and2/5
Answer:
30
Step-by-step explanation:
[tex]\frac{5\cdot\frac{6}{6} }{2\cdot\frac{6}{6} } = \frac{25}{30}, \frac{12}{30}[/tex]
Ms. Rudolph randomly selects one student from a group of students. 14 students are wearing a black shirt, 6 students are wearing a red shirt, and 9 students are wearing a blue shirt.
Show your work to determine the PROBABILITY that the selected student is wearing a BLACK shirt?
You may write your answer as a FRACTION or DECIMAL.
Answer:
14
29 as a fraction
Step-by-step explanation:
Based on the given conditions, formulate:
14=19+14+6）
2 Calculate
14
9+14+6
Calculate
14
23+6
Calculate the sum or difference
14
29
X
Calculate the sum or difference
14
29
Alternative forms
~ 0.482759, ~ 48.275862%,
4.827586 × 10
Hope it help :)
If the measure of arc AB is 50 degrees, what is the measure of angle ADB?
90 degrees
100 degrees
25 degrees
50 degrees
Answer:
25 degrees
Step-by-step explanation:
arc divided by 2 = angle
50/2=25
Sybil can put a total mass of 950 g in her bag. she buys a book that weighs 450 g and a notebook that weighs 210 g. write an equation to represent how much more mass, m, her bag can hold. then, solve for the answer and include an explanation of how you solved the equation
Answer:
M =290
Step-by-step explanation:
Subtraction of numbers
The mean percent of childhood asthma prevalence in 43 cities is 2.25%. A random sample of 31 of these cities is selected. What is the probability that the mean childhood asthma prevalence for the sample is greater than 2.7%? Interpret this probability. Assume that σ= 1.27%.
The probability is
(Round to four decimal place)
The Probability that the mean childhood asthma prevalence for the sample is greater than 2.7% is 0.0357.
What is Probability ?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
For a Normal Distribution, the z-score formula
[tex]z = \dfrac{X-\mu}{\sigma}[/tex]
Here X is the mean and sigma is the standard deviation.
Mean of 2.25% = 2.25
The standard deviation of 1.27%, sigma = 1.27
For Sample 31 the value of the standard deviation is
s = 1.27/√31
s = 0.2442
Substituting the values
Z = ( 2.25 -1.27)/0.2442
Z = 1.8
the p-value from the graph of z and p = 0.9643
To determine value of probability greater than X is 1 - 0.9643 = 0.0357
The Probability that the mean childhood asthma prevalence for the sample is greater than 2.7% is 0.0357.
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What is the value of x?
Enter your answer in the box.
Answer:
25
Step-by-step explanation:
c^2=a^2+b^2
where c = hypotenuse
so, x^2 = 24^2+7^2
x^2 = 576 + 49
x^2 = 625
x = square root of 625
x = 25
List the first 4 terms of a geometric sequence with the first term of 2 and a common ratio of 5.
Answer:
2, 10, 50, 250
Step-by-step explanation:
For geometric sequences, multiply the previous term by the common ratio.
Using the formula for geometric sequences [tex]a_{n} =ar^{n-1}[/tex] , with [tex]a_{n}[/tex] being the nth term (so n=4 for the fourth term), a being the first term, and r being the common ratio.
Our starting term is 2. So that is automatically the first term of the four.
Second term:
[tex]a_{2} =2*5^{2-1}=2*5^1=2*5=10[/tex]
Third term:
[tex]a_{3} =2*5^{3-1}=2*5^2=2*25=50[/tex]
Fourth term:
[tex]a_{4} =2*5^{4-1}=2*5^3=2*5*5*5=10*25=250[/tex]
the diagram is not drawn to scale!!
pls
Answer:
135°
Step-by-step explanation:
That triangle in the corner is an right angle isosceles triangle as that line the midpoint of both sides :
the base angle of this triangle (x) will be :
180 = 90 + 2x
90 = 2x
x= 45
Angles on a straight line add up to 180. So to work out a :
180 = 45 + a
135 = a
Hope this helped and brainliest please
A restaurant is analyzing its customer satisfaction level. the manager performs an observational study of customers during the lunch hour on a monday and draws the conclusion that most of the customers are satisfied with the service they receive. the conclusion drawn from the study is because the sample is . in this instance, an study was conducted.
The conclusion drawn is not valid. This is as a result of the fact that the sample is inappropriate.
How to determine the conclusion of a study?
We are told that a restaurant is analyzing its customer satisfaction level. Now, the conclusion drawn was that most of the customers are satisfied with the service they receive.
Now, we can say that the conclusion drawn is not valid. This is as a result of the fact that the sample is inappropriate as it does not deal with the actual response from the customers but only observational.
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11. Find the total surface area.
4 in.
6 in.
2 in.
Answer:
Appearantly, you forgot to mention the question