Answer:
64
Step-by-step explanation:
let the number be x, then
[tex]\frac{1}{8}[/tex] x + 5 = 13 ( subtract 5 from both sides )
[tex]\frac{1}{8}[/tex] x = 8 ( multiply both sides by 8 )
x = 64
The number is 64
Answer:
The number is 64
Step-by-step explanation:
Let x be the number
1/8 x +5 = 13
Subtract 5 from each side
1/8x +5-5 = 13-5
1/8 x = 8
Multiply each side by 8
8*1/8x = 8*8
x = 64
HELPPPPPPPPPPPPPPPPPPPPPPPPPP
What are the rules for subtraction and multiplication with negative numbers???
Answer:
Step-by-step explanation:
+(+) Two like signs become a positive sign 3+(+2) = 3 + 2 = 5
−(−) 6−(−3) = 6 + 3 = 9
+(−) Two unlike signs become a negative sign 7+(−2) = 7 − 2 = 5
−(+) 8−(+2) = 8 − 2 = 6
The next term in the geometric sequence -1, -2, -4, ... is -6. True or False
Answer:
False
Step-by-step explanation:
Geometric series have ratios.
The ratio here is 2.
So the next term should be -8.
a number plus 12 is 36. write an equation and use equation to solve
Answer:
EQUATION IS GIVEN BELOW.
Step-by-step explanation:
let the number be 'x'
now,
x+12 =36
or, x=36-12
therefore,x=24
which graph shows a linear function?
Answer:
Step-by-step explanation:
You have shared only one graph, that of a quadratic function with vertex at (0, 0) and an equation based upon y = ax^2, where a is a constant coefficient.
Please go back to the source of your question and describe the other graphs that were given to you.
The graph that shows a straight line is the linear function.
a recipe for chocolate chip cookies calls for 1 1/4 cups of flour. if you are making 2 1/3 recipes, how many cups of flour are needed?
Answer:
2 11/12 cups of flour
Step-by-step explanation:
well 2 recipes is 2 1/2 cups of flour
1/3 is 1/3 x 1 1/4= 1/3 + 1/12= 5/12
so 2 11/12 cups of flour
In a recent survey of 400 students in a college, were listed as studying Typing (T) were registered for both courses and were listed as studying accountancy (T).
Answer:
The intersect of typing and accounting ( T ∩ A ).
Step-by-step explanation:
if 200 student study typing;
200 study accounting;
the set rule pictures this as;
typing( T ) = { 200 typing student }
accounting ( A )= { 200 accounting student }
To get the number of students enrolled for both courses;
We intersect the typing and accounting sets values.
that is;
students enrolled for both courses = T ∩ A
Why are (1,2) and(2,1) not equal ordered pair?
Answer:
The pairs ( 1 , 2 ) and ( 2 , 1 ) are not equal because their respective elements are not equal.
Step-by-step explanation:
The pair of elements which are in specific order is called an ordered pair. The pair ( 1 , 2 ) is not same as the pair ( 2 , 1 ). In the pair ( 1 , 2 ) 1 is in the first position and 2 is in the second position. In the pair ( 2 , 1 ), 2 is in the first position and 1 is in the second position.
Two ordered pairs ( a , b ) and (c , d ) are said to be equal if a = c and b = d. We write ( a , b ) = ( c , d ).
Hope I helped!
Best regards!!
Learn more:
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I RLY NEED HELP ASAP!!!!
Answer:
33°
Step-by-step explanation:
A right triangle is formed based on the information given.
Use trigonometric ratio formula to find the number of degrees of the angle indicated with "?".
Let the angle = x°
162.5 yds is opposite to x°
298 yds is the hypotenuse of the right triangle formed.
Therefore, [tex] sin(x) = \frac{opposite}{hypotenuse} [/tex]
[tex] sin(x) = \frac{162.5}{298} [/tex]
[tex] sin(x) = 0.5453 [/tex]
[tex] x = sin^{-1}(0.5453) [/tex]
[tex] x = 0.5453 [/tex]
[tex] x = 33.0 [/tex]
How do you graph y = √ 5 - x? How do I find the coordinates by hand?
Each point is of the form (x,y). We replace x with some number to get a paired y value.
For instance, if x = 1, then,
[tex]y = \sqrt{5-x}\\\\y = \sqrt{5-1}\\\\y = \sqrt{4}\\\\y = 2[/tex]
Meaning x = 1 and y = 2 pair up. The point (x,y) = (1,2) is on the curve.
Then let's try x = 4
[tex]y = \sqrt{5-x}\\\\y = \sqrt{5-4}\\\\y = \sqrt{1}\\\\y = 1[/tex]
Showing (4,1) is also on the curve.
The point (5,0) is also on the curve too because of the steps below
[tex]y = \sqrt{5-x}\\\\y = \sqrt{5-5}\\\\y = \sqrt{0}\\\\y = 0[/tex]
We can't go any higher than x = 5 or else the expression 5-x will be negative. Eg: if x = 7, then 5-x = 5-7 = -2. We cannot take the square root of a negative and get some real number output.
So let's go in the opposite direction. Let's try x = -4
[tex]y = \sqrt{5-x}\\\\y = \sqrt{5-(-4)}\\\\y=\sqrt{5+4}\\\\y = \sqrt{9}\\\\y = 3[/tex]
Showing (-4,3) is also on the curve.
The x values I'm picking are such that the y value is an integer. For the majority of the x values, you'll get some decimal value which is a bit tricky to graph on paper. So effectively you'll have to use trial and error to find the right x values to pick. The goal is to get the stuff under the square root to simplify to some perfect square (0,1,4,9,...etc)
After generating enough points, you draw a curve through them all. The more points, the more accurate the graph.
An object is moving at a speed of 95 kilometers every 7.5 weeks. Express this speed in
feet per day
Answer:
5,936.76 feet/dayStep-by-step explanation:
Formula to use to get the speed is expressed as speed = Distance/Time
Given parameters
Distance = 94km
Time = 7.5weeks
Since we are to express the answer in feet per day, we will convert the distance to feet and time to days.
For the distance:
Given the conversion
1 km = 3280.84 feet
95km = (95*3280.84)feet
95km = 311,679.8 feet
For the time:
If 1 week = 7 days
7.5weeks = (7.5 * 7)
7.5weeks = 52.5 days
Speed In ft/day = 311,679.8 feet/ 52.5 days
Speed in ft/day = 5,936.76 feet/day
Hence the speed in feet per day is 5,936.76 feet/day
Estelle is raking leaves in her yard. After 1 hour, she has 2 bags of leaves. After 3 hours, she has 6 bags of leaves. Which graph represents Estelle's leaf raking progress? (2 points)
Answer:
You're looking for the graph [tex]y=2x[/tex]
Step-by-step explanation:
If Estelle is raking in leaves at a constant rate, which we usually assume for cases like this, we're looking for a function of the form
[tex]y=kx+m[/tex]
x here is going to be the number of hours, or time.
y is going to be the number of bags she has raked in.
First of all, we know that at time 0, she hasn't raked in any leaves. So when x is 0, we know y is 0. Let's put these values in our function.
[tex]0 = k * 0 + m[/tex]
[tex]0 = 0 + m[/tex]
[tex]m = 0[/tex]
We now know m is 0.
We also know that after 1 hour, Estelle has 2 bags of leaves. So when x is 1, y will be 2. Let's put these values in.
[tex]2 = k*1[/tex]
We're excluding m as we know it's 0.
[tex]k=2[/tex]
So k is 2, and m is 0. Let's put these values in our original function [tex]y=kx+m[/tex]:
[tex]y = 2x + 0[/tex]
[tex]y=2x[/tex]
The equation is y=2x.
Putting this into a graphing calculator, we get this graph (attached).
17. Factorise using factor theorem:
x^3-3x^2-4x+12
Answer:
(x - 3)(x - 2)(x + 2)
Step-by-step explanation:
Given
x³ - 3x² - 4x + 12 ( factor the first/second and third/fourth terms )
= x²(x - 3) - 4(x - 3) ← factor out (x - 3) from each term
= (x - 3)(x² - 4) ← x² - 4 is a difference of squares and factors in general as
a² - b² = (a - b)(a + b), thus
x² - 4
= x² - 2²
= (x - 2)(x + 2)
Thus
x³ - 3x² - 4x + 12 = (x - 3)(x - 2)(x + 2) ← in factored form
Answer:
(x - 2)(x - 3)(x + 2).
Step-by-step explanation:
The Factor Theorem states that if x - a is a factor of f(x) the f(a) = 0.
f(x) = x^3 - 3x^2 - 4x + 12
We try the factors of 12:
f(2) = 2^3 - 3*4 - 8 +12
= 8 - 12 - 8 + 12 = 0
- so (x - 2) is a factor of f(x)
Dividing:
x^2 - x - 6 <-----------Quotient
-----------------------------
x - 2 )x^3 - 3x^2 - 4x + 12
x^3 - 2x^2
-x^2 - 4x
-x^2 + 2x
-6x + 12
-6x + 12
So we factor x^2 - x - 6:
= (x - 3)(x + 2)
3. Travis gets a job which pays $22.50/h. Samantha
gets a job that starts at $0.01/h and doubles every
day. How long will it take before Samantha makes
more per hour than Travis?
a. 12 hours
b. 12 days
C. Samantha will never make more than Travis
d. 6 months
Answer: 12 days
Step-by-step explanation:
Select all the properties that can be used to solve 7y – 15 = –29. Group of answer choices Identity Property of Multiplication Inverse Property of Multiplication Commutative Property of Addition Addition Property of Equality Distributive Property
Answer:
Inverse property of multiplication
Step-by-step explanation:
a student guesses on every question of multiple choice quiz with 6 questions each with 3 possible answers. what is the probability that at least 5 of his answers are correct
Answer:
P[ x >= 5 ] = 0,005487
Step-by-step explanation:
The possibility of the student to answer correctly one question is 1/3
We have three answers and only one is right.
The possibility of answer at least 5 right question is:
Possibility of answer 6 question plus the possibility of answer 5 questions
The possibility of answering at least 5 answers are correct is:
To answer 2 questions 1/3*1/3 = 1/9
To answer three 1/3*1/3*1/3 = 1/ 27
To answer 5 is 1/3*1/3*1/3*1/3*1/3 = 1/243
And to answer all the question right is (6) is 1/729
Therefore probability of answer at least 5 right questions is
P[ x >= 5 ] = P [5] + P [6]
P[ x >= 5 ] = 1/ 243 + 1/729
P[ x >= 5 ] = 972/ 177147
P[ x >= 5 ] = 0,005487
Which Answer Choice?
Answer:
Answer Choice A: -1.8
Step-by-step explanation:
That's the closest to a middle value between -3.8 and 0 on the number line of the answer choices given.
A data set with whole numbers has a low value of 20 and a high value of 96.
Find the class width for a frequency table with seven classes.
Find the class limits for a frequency table with seven classes.
Answer and Step-by-step explanation:
The computation of the class width for a frequency is shown below:
Class width is
[tex]= \frac{Range}{Number\ of\ class} \\\\ = \frac{96 - 20}{7}[/tex]
= 10.86
= 11
Now the class limits for a frequency table
Particulars Lower class limit to upper class limit
First class 20 - 30
Second class 31 - 41
Third class 42 - 52
Fourth class 53 - 63
Fifth class 64 74
Six class 75 - 85
Seventh class 86 - 96
The class width for a frequency table with seven classes is 10.86.
The class limits for a frequency table with seven classes are;
Particulars Lower class limit to upper class limit
First-class 20 - 30
Second class 31 - 41
Third class 42 - 52
Fourth class 53 - 63
Fifth class 64 74
Six class 75 - 85
Seventh class 86 - 96
GivenA data set with whole numbers has a low value of 20 and a high value of 96.
1. The class width for a frequency table with seven classes is;
[tex]\rm Frequency = \dfrac{Highest \ term - lowest\ term }{Class}\\\\ Frequency = \dfrac{96-20}{7}\\\\ Frequency = \dfrac{76}{7}\\\\ Frequency =10.86[/tex]
The class width for a frequency table with seven classes is 10.86.
2. The class limits for a frequency table with seven classes are;
Particulars Lower class limit to upper class limit
First-class 20 - 30
Second class 31 - 41
Third class 42 - 52
Fourth class 53 - 63
Fifth class 64 74
Six class 75 - 85
Seventh class 86 - 96
To know more about Frequency click the link given below.
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-x - 3y - 20 + 3x + 8y
Answer:
2x +5y -20
Step-by-step explanation:
-x - 3y - 20 + 3x + 8y
Combine like terms
-x+ 3x - 3y+ 8y - 20
2x +5y -20
Answer:
2x + 5y - 20
Step-by-step explanation:
-x + 3x = 2x
-3y + 8y = 5y
In the first quadrant, you start at ( 6, 5 ) and move 3 units left .
What point will you end up on ?
Answer:
(3,5)
∧
this is x number
Step-by-step explanation:
the x number is left and right movement. if you move 3 units left you would subtract 3 from the x number. so 6-3=3 and you don't have to do anything on the y value because you don't move it.
Answer:
(3,5)
Step-by-step explanation:
When using graphs:
X-axis:
Move left-subtractMove right-addY-axis:
Move down-subtractMove up-addWhen writing points on a graph, it should be (X,Y)
So (6,5) all you have to do is subtract 3 from 6(6-3=3) so your final answer should be (3,5)
Hopefully this helps :)
can you answer this
Answer:
3 square fhfhfjshxfjkzkdjzhx h2jxfjwjznnznzn
A contractor is hired to build an apartment complex. Each 840-square-foot unit has a bedroom, kitchen, and bathroom. The bedroom will be the same size as the kitchen. The owner orders 980 square feet of tile to completely cover the floors of two kitchens and two bathrooms. Determine how many square feet of carpet is needed for each bedroom.
Answer:
350 sq ft
Step-by-step explanation:
Given that:
840 sq ft area has a bedroom, kitchen and bathroom.
Let the area of bedroom be [tex]x[/tex] sq ft.
Then the area of kitchen will also be [tex]x[/tex] sq ft.
Let the area of bathroom be [tex]y[/tex] sq ft.
As per question statement:
[tex]x+y+x=840\\\Rightarrow 2x+y=840 ...... (1)[/tex]
Tiles ordered to cover two kitchens and two bathrooms is 980 sq ft.
i.e.
[tex]2x+2y=980 ..... (2)[/tex]
Subtracting equation (1) from (2):
i.e. (2) - (1):
[tex]y = 140[/tex] sq ft
Putting the value of [tex]y[/tex] in (1):
[tex]2x+140=840\\\Rightarrow 2x =700\\\Rightarrow \bold{x=350\ sq\ ft}[/tex]
Therefore, the carpet needed for each bedroom = 350 sq ft
Simplify:
3x(2y+5)-2y(3x-5)-5(3x+2).
The final result contains how many terms?
Answer:
10y-10
Step-by-step explanation:
2 terms
Combine like term: 7x+2y+9x+9
Answer:
16x +2y +9
Step-by-step explanation:
I hope this helps. Just combine the numbers with the same Variable/letter. That's why only 7x and 9x were combined together
can someone help me with these problems please?
Answer:
Please who knows the full question to this problem am unable to see the full question.....
Volume varies 1/P.
V=K/P.
21=K/1.
K=21.
The relation is V=21/P.
....if P=0.7 and K=21.
and the relation to solve the question is V=21/P then put the value of P in the formula which will be...
V=21/0.7.
V=30m^3.
This is my answer..i hope it helps
O Sr. Lima investiu R$5000,00 em um fundo de ações. No 1º ano as ações do fundo valorizaram-se 35%; no 2º ano, valorizaram-se 20% (em relação ao 1º ano) e no 3º ano desvalorizaram-se 30% (em relação ao 2º ano). Que valor o Sr. Lima terá ao final dos três anos? a) R$ 10.530,00 b) R$ 5.670,00 c) R$ 6.853,00 d) R$ 7.500,20 e) R$ 8.320,40
Responda :
R $ 10.530
Explicação passo a passo:
Investimento inicial = R $ 5.000
Apreciação no primeiro ano = 35%
Apreciação no segundo ano = 20% em relação ao primeiro ano
Valorização no terceiro ano = 30% em relação ao segundo ano
Se o investimento se valorizar em 35% no primeiro ano:
35% do investimento: 0,35 × R $ 5.000 = R $ 1.750
Total após o primeiro ano = R $ (5.000 + 1.750) = R $ 6.750
2º ano:
Valorização de 20% em relação ao primeiro ano:
20% de 6750 = 0,20 * 6750 = R $ 1.350
Total = (6.750 + 1.350) = R $ 8.100
3 º ano:
Valorização de 30% em relação ao segundo ano:
30% de 8100 = 0,30 * 8100 = R $ 2.430
Total = (8.100 + 2.430) = R $ 10.530
No final do terceiro ano:
R $ 10.530
A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service. What will be the total cost for 8 hours of work?
Answer:
C(h) = 50h + 25
$425
Step-by-step explanation:
Et the plumber works for h hours.
Cost of one hour = $50
Therefore, cost of h hours = $50h
Total cost = cost of h hours + plumber service call charge
C(h) = 50h + 25 (required equation)
Plug h = 8
C(8) = 50* 8 + 25 = 400 + 25 = $425
this is the photo of the question
Answer:
Plant B
Step-by-step explanation:
The only measure of variation we really need to check is the mean, or average, of tomatoes that each plant produced. This is because if Kathryn was a farmer, she would want a plant that on average, produces more tomatoes. For that reason, in this context, the mode, median and range are irrelevant. To find the mean of a data set, you simply divide the sum of all of the data by the number of data in the set. Therefore:
Mean of Plant A: (4 + 6 + 7 + 3 + 6 + 2 + 1 + 3 + 6 + 5) / 10 = 43 / 10 = 4.3
Mean of Plant B: (5 + 6 + 7 + 6 + 8 + 9 + 6 + 7 + 8 + 9) / 10 = 71 / 10 = 7.1
As you can see, the mean tomatoes Plant B produces is larger than that of Plant A, therefore, Kathryn should choose Plant B if she was a farmer.
g(x)= 4x, Find g(x²)
Answer:
The answer is
[tex] {16}^{2} [/tex]
Help pls explanation needed
Answer:
x = 1/2 thus Line 3 is false
Step-by-step explanation:
Solve for x:
10 - 2 x = 14 x + 2
Hint: | Move terms with x to the left hand side.
Subtract 14 x from both sides:
10 + (-2 x - 14 x) = (14 x - 14 x) + 2
Hint: | Combine like terms in -2 x - 14 x.
-2 x - 14 x = -16 x:
-16 x + 10 = (14 x - 14 x) + 2
Hint: | Look for the difference of two identical terms.
14 x - 14 x = 0:
10 - 16 x = 2
Hint: | Isolate terms with x to the left hand side.
Subtract 10 from both sides:
(10 - 10) - 16 x = 2 - 10
Hint: | Look for the difference of two identical terms.
10 - 10 = 0:
-16 x = 2 - 10
Hint: | Evaluate 2 - 10.
2 - 10 = -8:
-16 x = -8
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of -16 x = -8 by -16:
(-16 x)/(-16) = (-8)/(-16)
Hint: | Any nonzero number divided by itself is one.
(-16)/(-16) = 1:
x = (-8)/(-16)
Hint: | Reduce (-8)/(-16) to lowest terms. Start by finding the GCD of -8 and -16.
The gcd of -8 and -16 is -8, so (-8)/(-16) = (-8×1)/(-8×2) = (-8)/(-8)×1/2 = 1/2:
Answer: x = 1/2
Me ajudem por favor: 3x+30=80
0.06 es la repuesta
Step-by-step explanation:
Aqui esta como lo podias aser:
1. 3x + 30=80
-30. -30
3x=50
÷3. ÷3
Necesitas que divinir 50 en 3
3(0.06) + 30=80 x=0.06