The fraction expression given as -1/3-4/5 is a negative number
How to categorize the number?The fraction expression is given as
-1/3 - 4/5
From the above expression, we observe that:
The numbers are fractionsThe numbers are negative numbersThe sum of two negative numbers will result in another negative number
This means that the value of -1/3 - 4/5 is a negative expression
Solving further, we have:
-1/3 - 4/5
Evaluate the expression
-1/3 - 4/5 = -17/15
See that 17/15 is negative
Hence, -1/3 - 4/5 is negative
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(8d+4)⁰
(6d+8)°
3. Find d. Show a picture of your work.
d =
pic goes here (or ok to type your steps)
Answer:
d=12
Step-by-step explanation:
8d+4+6d+8 = 180 (Straight angle = 180)
14d+12=180
14d=168
d=12
:]
Answer:
D =12
Step-by-step explanation:
8d+4+6d+8 =180 (being a linear pair)
14d+12=180
14d=180-12
14d=168
d= 168/14
d=12#
You run $2\frac{1}{2}$ miles as a part of an exercise routine. you run $\frac{1}{3}$ of that distance on a hill. you run down a slope for the last $\frac{1}{2}$ of the hill. on how many miles of your run do you run down the slope?
Given,
Total distance [tex]=2\frac{1}{2}[/tex] miles
You run 1/3 of that distance on a hill.
Distance on a hill[tex]=\frac{1}{3} * 2\frac{1}{2}[/tex] miles
You run down a slope for the last 1/2 of the hill=[tex]\frac{1}{3} * 2\frac{1}{2}*\frac{1}{2}[/tex] miles[tex]=\frac{5}{12}[/tex] miles
Distance you run down the slope [tex]=\frac{5}{12}[/tex] miles
What is 955 divided by 36 rounded to the nearest tenth?
The first three terms of an arithmetic sequence are as follows.-26, -19, -12Find the next two terms of this sequence.-26, – 19, -12,
1) Given that we were told that the first three terms of this Sequence. Let's find the common difference:
[tex]\begin{gathered} -26+7=-19 \\ -19+7=-12 \\ d=7 \end{gathered}[/tex]2) Based on that, we can do the following to find the next two terms:
[tex]\begin{gathered} -26+7=-19 \\ -19+7=-12 \\ -12+7=-5 \\ -5+7=2 \\ \\ -19,-12,-5,2 \\ Or \\ \\ a_4=a_1+d(n-1) \\ a_4=-26+7(4-1) \\ a_4=-26+21 \\ a_4=-5 \\ \\ a_5=-26+7(5-1) \\ a_5=-26+7(4) \\ a_5=-26+28 \\ a_5=2 \end{gathered}[/tex]Thus, the next terms are -5 and 2
What is an equation in point-slope form for the line perpendicular to y =-5x - 14 that contains (10, -4)?
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]y = \stackrel{\stackrel{m}{\downarrow }}{-5}x-14\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {-5\implies \stackrel{slope}{\cfrac{-5}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-5}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-5}\implies \cfrac{1}{5}}}[/tex]
so we're really looking for the equation of a line whose slope is 1/5 and it passes through (10, -4)
[tex](\stackrel{x_1}{10}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{ \cfrac{1}{5}}(x-\stackrel{x_1}{10}) \implies {\large \begin{array}{llll} y +4= \cfrac{1}{5} (x -10) \end{array}}[/tex]
How would i solve for X?
Please help!
Answer: 49 degrees
Step-by-step explanation:
130+99=229
229-180=49
49 degrees
180 degrees is a straight line
Question 8
g Principal (p) = 1500, Rate (r) = 7%, Time (t)
= 8 years. Calculate the Interest.
n
et A.
C.
$840
$2,340
B.
D.
$1200
$660
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$1500\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ t=years\dotfill &8 \end{cases} \\\\\\ I = (1500)(0.07)(8) \implies I = 840[/tex]
a school Liberian ordered new books for the library of the new books covered 1/3 are science 2/5 are biography,and the rest of the books are friction. what fraction of the books ordered are fiction?
Given that of the new books the new books the new liberian ordered;
-1/3 are science
-2/5 are biography
Let s, b and f represent the fraction of science, biography and fiction of the new book.
[tex]s+b+f=1[/tex]substituting the values of s and b given;
[tex]undefined[/tex]Solve for L.
A=LW
L=
You toss a coin and roll a number cube. Find P(heads and an even number)
1- 1
2- 1/12
3- 1/6
4- 1/4
The probability of a head and an even number is 1/4.
What is probability?Probability is the occurrence of a certain event out of the total events than can occur in a given context.
Given event is a coin is tossed and then a die is rolled.
∴ The sample space (S) is = (H,1), (T,1), (H,2), (T,2), (H,3),(T,3), (H,4), (T,4), (H,5), (T,5), (H,6), (T,6).
So, the number of sample spaces N(S) = 12.
The number of heads and an even number N(H,E) = 3.
∴ The probability of a head and an even number is = N(H,E)/N(S).
= 3/12.
= 1/4.
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It takes 0.5 gallon of cream to make 1 pound of butter.
How much butter could you make with 0.25 gallons of cream?
How much cream would you need to make 2.5 pounds of butter?
A company prices its tornado insurance using the following assumptions:
• In any calendar year, there can be at most one tornado.
• In any calendar year, the probability of a tornado is 0.04.
• The number of tornadoes in any calendar year is independent of the number of tornados in any other calendar year.
Using the company's assumptions, calculate the probability that there are fewer than 2 tornadoes in a 14-year period.Round your answer to 4 decimals.
The correct answer is 0.4834
There can only be one tornado every year on the calendar. This indicates that there are only two conceivable outcomes of the event: either there will be one tornado or none at all.
The likelihood of a tornado in any given year is 0.14. This indicates that an event's chance of occurring is fixed. p = 0.14
The frequency of tornadoes in one year is unrelated to the quantity in other years. This indicates that the incidents are unrelated to one another.
The likelihood that there won't be more than two tornadoes in a 12-year period has to be calculated. This indicates that the number of trials, n, is set at 12.
p = 0.14
q = 1 - p = 1 - 0.14 = 0.86
n = 12
x = 2
We need to find: P( x < 2)
Fewer than 2 tornadoes means either 1 or 0 tornado. So,
P(x < 2) = P(x=0) + P(x=1)
the likelihood of less than two tornadoes occurring in a 12-year period is 0.4834
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A father and a son go hunting. The father kills an average of 2 animals every 5 shots and the son kills one animal every 2 shots. If the two fired at the same animal at the same time, what is the probability that they will obtain kill?
The probability that the father and son will obtain a kill if they both fired at an animal the same time is 0.9
What is the probability of an event?The probability of an event is the likelihood of the occurrence of event.
The average number of animals the father kills every 5 shots he takes = 2
The average number of animals the son kills every 2 shots he takes = 1
[tex]Probability = \dfrac{Number \ of \ required \ items}{Number \ of \ possible \ outcomes}[/tex]
Which gives:
The probability that the father kills an animal = [tex]P(F) = \dfrac{2}{5} = 0.4[/tex]
The probability that the son kills an animal is; [tex]P(s) = \dfrac{1}{2} =0.5[/tex]
The probability that if the father and the son fires at the same animal, the probability that they will obtain a kill, which is the probability that the animal is killed , P(A) = The probability that the father kills the animal + The probability that the son kills the animal
P(A) = P(F) + P(s) = P(F) ∪ P(s)Which gives: P(A) = 0.4 + 0.5 = 0.9
The probability that the animal will be killed is approximately 0.9
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Solve it please
Iwhdhehehdhdh
Hello!
To evaluate h(3)
==> must plug '3' into x's position in the equation:
[tex]h(3)=3^2-4(3)+5\\h(3)=9-12+5=2[/tex]
Hope that helps!
Answer:
2
Step-by-step explanation:
substitute 3 for the x
3²-4(3)+5
9-12+5
2
A department store is selling 3 pairs of socks for $5. Mrs. Wagner want to buy a dozen pairs. How much will this cost?
What is the length of side AC of the triangle? A=6x + 7 B= 5x + 5 C = 7x - 1
ok it literally shows on the figure the length of the side AC is 6x + 7.
Answer:
AC = 25 units
Step-by-step explanation:
since ∠ A and ∠ C are congruent then the 2 legs BC and AB are congruent
BC = AB ( substitute values )
7x - 1 = 5x + 5 ( subtract 5x from both sides )
2x - 1 = 5 ( add 1 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Then
AC = 6x + 7 = 6(3) + 7 = 18 + 7 = 25
Suppose the sequence 28, 14, ... is geometric.
a)Determine the common ratio.
b) List the next 3 terms in the sequence. Explain your reasoning.
please help me!!
Answer:
see explanation
Step-by-step explanation:
(a)
common ratio r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{14}{28}[/tex] = [tex]\frac{1}{2}[/tex] = 0.5
(b)
to find the next term, multiply the previous term by r = 0.5
14 × 0.5 = 7
7 × 0.5 = 3.5
3.5 × 0.5 = 1.75
the next 3 terms in the sequence are 7 , 3.5 , 1.75
⇒In a geometric sequence to find the common ratio(r) we use the formula
[tex]r=\frac{T_{2} }{T_{1} }[/tex]
But in general we use the formula is [tex]r=\frac{T_{n+1} }{T_{n} }[/tex]
In this case we are going to use
[tex]r=\frac{14}{28} \\r=\frac{1}{2}[/tex]
⇒The common ratio of the sequence is [tex]\frac{1}{2}[/tex], to get the 3 consecutive terms you are going to multiply the current term by the common ratio which in this case is [tex]\frac{1}{2}[/tex]
[tex]T_{3} =T_{2} * r\\\\T_{3}=14(\frac{1}{2} )\\T_{3} =7[/tex]
[tex]T_{4} =T_{3} *r\\T_{4}=7(\frac{1}{2} )\\T_{4}=\frac{7}{2}[/tex]
[tex]T_{5}=T_{4} *r\\T_{5}=\frac{7}{2} *\frac{1}{2} \\T_{5}=\frac{7}{4}[/tex]
If you have any questions ask me as soon as possible.
GOODLUCK!!
1/2x+1/2+1/2x+1/2?
PLEASE HELP!
Answer:
X+1
Step-by-step explanation:
x+1
two sides of a triangle are 18 ft and 23 ft. Find the range for the measure of the third side.
Using the triangle inequality theorem the range of measures of the third side is 5 < x < 41
How to find the third side of the triangle?The triangle inequality theorem states that any side of a triangle must be shorter than the other two sides added together.
In other words, the triangle inequality theorem describes the relationship between the three sides of a triangle. According to this theorem, for any triangle, the sum of lengths of two sides is always greater than the third side.
Therefore, for a triangle that has the sides a, b and c will follow the principle below:
c < a + b
b < a + c
a < b + c
Therefore, the triangle has two sides as 18 ft and 23 ft. The range of the third side is as follows:
x < 23 + 18; x < 41
18 < 23 + x
23 < x + 18
Therefore, base on the first and third inequality.
x < 41
x > 5
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(X-3)^2=5 to 3 significant figures
The solution to the equation is x = 5.24
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to evaluate the expression?The equation is given as
(x - 3)^2 = 5
Take the square root of both sides
So, we have
x - 3 = 2.24
Add 3 to all sides of the equation
So, we have
x = 5.24
Hence, the solution is x = 5.24
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I need help in math can you please help me
That's it, do you have any question about the answer? my ple
Expand & simplify
(
x
+
3
)
2
(
2
x
−
5
)
Answer:
4x²+2x-30
Step-by-step explanation:
(x+3) 2(2x-5)
(x+3) (4x-10)
4x²-10x+12x-30
4x²+2x-30
Pleasehelp Name the reciprocal
Answer:
x = 12
Step-by-step explanation:
3/4x = 9
x = 9/1(4/3)
x = 12
Louises saving change by -9 dollars each time she goes bowling in all a change by -$99 during the summer how many times did she go bowling in the summer
Answer:
11 times
Step-by-step explanation:
-99/-9=11
classify as =1 , <1 , >1 . for n>1.
|1.1n|
a. <1
b. >1
c. =1
The value of the absolute value expression given; | 1.1n | for n > 1 as required in the task content can be classified as; Choice B; >1.
What is the best classification of the expression | 1.1n | for n > 1?It follows from the task content that the best classification of the expression | 1.1n | for n > 1 be determined.
Since the domain of variable n is such that n > 1, it follows that 1.1 × n > 1.1.
There, it follows that; 1.1n > 1.1 > 1.
By definition; The absolute value |n| of any real number n is the non-negative value of x irrespective of its sign. For instance, the absolute value of 15 is 15, and also the absolute value of −15 is also 5.
Hence, the absolute value sign; | 1.1n | indicates positive values.
Ultimately, the correct classification of.the expression is; Choice B; > 1.
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You have 8 nickels, 5 dimes, 6 quarters and 4 pennies. How much money do you
have?
$2.49
$2.44
$2.54
$2.59
Find the circumference of each circle round answer to the nearest tenth
Answer: ask your teacher
Step-by-step explanation:u have to multiply
Jenny wants to buy a new dress for her first school dance. She borrows $25.63 from her sister to help pay for the dress. Then Jenny earns $16.33 helping her dad organize his home office. If she gives all the earnings to her sister, Jenny will still owe her sister $ .
Answer:
Jenny owes her sister 9.3 dollars.
Step-by-step explanation:
23.63 - 16.33 = 9.3
In Salt Lake City, it is 8˚ colder than it is in Houston. What's the temperature in Salt Lake City? the Houston degree is 8
The temperature in salt lake city will be 0° Celsius.
What is temperature?
Temperature tells us about the degree of hotness or coldness of a body. According to the thermodynamics, temperature is a measure of the average kinetic energy of the atoms or molecules in the system.
Given is Salt Lake City where it is 8˚ colder than it is in Houston.
The degree of coldness on Celsius scale increase as the temperature tends to negative values and degree of hotness on Celsius scale increase as the temperature tends to positive values. The temperature in Houston is 8° Celsius. Since, the temperature is 8 degrees colder, we will subtract 8° from the temperature value in Houston. Therefore, temperature in salt lake city will be -
T[S] = + 8 - 8 = 0° Celsius
Therefore, the temperature in salt lake city will be 0° Celsius.
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[23+4x(2+5)<15-5x(8-7)]2^5
Answer:
[tex]23+4x(2+5)<15-5x(8-7)]2^5[/tex]