5 5 I think of a number, treble it then add on 3, the result is equal to 6. Find the value of the original number I thought of.
Let the number be x
If 3 is added to tripple the number then the result is 6[tex]\\ \sf\longmapsto 3x+3=6[/tex]
[tex]\\ \sf\longmapsto 3x=6-3[/tex]
[tex]\\ \sf\longmapsto 3x=3[/tex]
[tex]\\ \sf\longmapsto x=1[/tex]
Answer:
The number is 1
Step-by-step explanation:
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The distribution of SAT scores is approximately normal with a mean of 1500.
If 1628 is the 90th percentile, what is the standard deviation?
Answer:
Hello,
Answer
[tex]\sigma=457,95...[/tex]
Step-by-step explanation:
p(z<a)=0.9
p(z<1.29)=0.9015
p(z<1.28)=0.8997
using linear interpolation: with 4 decimals
p(z<1.282)<0.9
[tex]\dfrac{1628-1500}{\sigma} =1.282\\\\\sigma =\dfrac{1628-1500}{1.282}\\\\\sigma=457,95...\\[/tex]
Describe and correct the error in determining the formula for the sequence below
Answer:An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15.. . is an arithmetic progression with a common difference of 2.
Step-by-step explanation:
Translate the sentence into an equation.
Four times the sum of a number and 7 equals 3
Answer:
[tex]4(x+7)=3[/tex]
Step-by-step explanation:
Since the sum is being multiplied 4 different times, it's best to write the equation of the sum and the number 4 being in the outside. and since it's saying it equals 3, just add the equal sign
Hope this helps!
- doomdabomb
PLEASE HELP!!!
The following data are the distance from the workplace ( in miles) for the 5 employees of a small business.
10,17,12,14,12
Assuming that these distance constitute an entire population, find the standard deviation of the population. Round your answer to two decimal places.
Answer:
stdev= 2.366431913
Step-by-step explanation:
10 stdev= 2.366431913
17
12
14
12
How much state tax is withheld from $36,200 if the tax rate is 4%?
Answer:
$1448
Step-by-step explanation:
Tax=rate*amount=(4/100)*36200=1448
prove it using mathematical induction
Answer:
Mathematical induction can be used to prove that an identity is valid for all integers n≥1. Here is a typical example of such an identity: 1+2+3+⋯+n=n(n+1)2. More generally, we can use mathematical induction to prove that a propositional function P(n) is true for all integers n≥1.
Step-by-step explanation:
I'd really appreciate a brainleast please:)
Name the number that is
represented by the letter Y.
Y
Z
WVX
+
-10 -5
+
5
0
10
Answer:
y is 8 if you count towards the right side of the screen you will figure out that y is 8 followed by 9 leading you to 10, therefore x is 11.
I hope this helps
Which polynomial can be factored using the binomial theorem?
64x2 + 200x + 625
64x2 + 400x + 625
14,641x4 - 11,979x3 + 9,801x2 – 8,019x + 6,561
14,641x4 - 23,958x3 + 19,602x2 – 16,038x + 6,561
Answer:
B
Step-by-step explanation:
64x2 + 400x + 625=(8x+25)^2
4. Tony bought a computer, a cell
phone, and a television. The
computer costs 2.5 times as much
as the television. The television cost 5 times as much as the cell phone. If Tony spent a total of $925, how much did the cell phone
cost?
Answer:
$50
Step-by-step explanation:
Let x represent the cost of the cell phone.
Since the TV cost 5 times as much as the cell phone, its cost can be represented by 5x.
Since the computer cost 2.5 times as much as the TV, its cost can be represented by 12.5x.
Create an equation to represent the situation, and solve for x:
x + 5x + 12.5x = 925
18.5x = 925
x = 50
So, the cell phone cost $50
Answer:
$50
Step-by-step explanation:
Let x represent the cost of the cell phone.
Since the TV cost 5 times as much as the cell phone, its cost can be represented by 5x.
Since the computer cost 2.5 times as much as the TV, its cost can be represented by 12.5x.
Create an equation to represent the situation, and solve for x:
x + 5x + 12.5x = 925
18.5x = 925
x = 50
So, the cell phone cost $50
I will mark as brainliest:)
Answer:
Point E.
.................
3 and 4 are complementary
Complementary angles are those whose sum is 90° hence angles 3 and 4 will not be complementary angles but they will have adjacent angles so it will be true.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.
Given,
Angle 3 and angle 4 are only two angles of a single line
So,
∠3 + ∠4 = 180°
So they will be supplementary angle not complimentary angle.
Angle 3 and 4 are adjacent angle because they are neighbors of each other.
Hence, they will not be complementary angles but will be the adjacent angle.
For more about the angle
brainly.com/question/13954458
#SPJ5
Consider the graph of the quadratic function. Which
interval on the x-axis has a negative rate of change?
3
0-2 to-1
2
O -1.5 to 0
O 0 to 1
-3
-2
21
2
3
x
О 1 to 2.5
Answer:
1 to 2.5
Step-by-step explanation:
A negative rate of change requires the instantaneous slope to be negative, and the interval from 1 to 2.5 is the only place segment where that can happen.
what is the lub of 0.2,0.23,0.234,0.2343,0.23434,0.234343
Answer:
The lub is 0.2343, while the glb is 0.2
Step-by-step explanation:
btw the 43 seems to be repeating for the lub.
Have a good day!
The fraction model below shows the steps that a student performed to find a quotient. Which statement best interprets the quotient? A: There are 5 1/5 five-sixths in 4 1/3. B: There 6 1/6 five sixths-in 4 1/3. C: There are 5 1/5 four and one-thirds in 5/6. D: There are 6 1/6 four and one-thirds in 5/6.
Answer:
The answer is D
Step-by-step explanation:
there are 8 1/6 five and one sixth in 2/3
The capacity of a small container is 380 ml. and the capacity of a big container is 1250 ml. If Akash uses 8 small containers and 1 big container to fill up an empty tank, then what is the capacity of the tank? With statements
Answer:
3290 ml
Step-by-step explanation:
he fills into the tank 8×380 ml and 1×1250ml.
that is all there is to it.
so,
capacity tank = 8×380 + 1250 = 3040 + 1250 = 3290 ml
What's the measure of an arc with a central angle of 120°?
Answer:
the answer is 240 degrees
Of every 300 magic cakes Farah makes, 90 are chocolate, what percentage of chocolate cakes Farah makes?
De cada 300 pasteles mágicos que hace Farah, 90 son de chocolate, ¿qué porcentaje de pasteles de chocolate hace Farah?
Answer:
Total magic cakes =300
chocolate cakes =90
so if you want the percentage of chocolate you will divide the number of chocolate cakes over the total number of chocolates
% of chocolate cakes = 90/300×100%
=30%
Using the identity. (a - b) ²= (a² - 2ab + b²), evaluate 699²
Step-by-step explanation:
hope it helps you.......
[tex]\\ \sf\longmapsto 699^2[/tex]
[tex]\\ \sf\longmapsto (700-1)^2[/tex]
[tex]\\ \sf\longmapsto 700^2-2(700(1)+(1)^2[/tex]
[tex]\\ \sf\longmapsto 490000-1400+1[/tex]
[tex]\\ \sf\longmapsto 488600+1[/tex]
[tex]\\ \sf\longmapsto 488601[/tex]
The second term in a geometric sequence is 50. The forth term in the same sequence is 112.5. what is the common ratio in this sequence?
Answer:
1.5
Step-by-step explanation:
Let the first term be a and the common ratio be r
ATQ, ar=50 and ar^3=112.5, divide these two. r^2=2.25, r=1.5
GIVEN THAT GENERAL TERM =7n+4
evaluate sum of 5th termand 6th term
Answer:
general term - 7n+4
5th term - 7(5) + 4 = 39
6th term - 7(6) + 4 = 46
Find the length of side
x in simplest radical form with a rational denominator.
Thanks in advance
Answer:
2
Step-by-step explanation:
Pythagoras. c² = a² + b²
since both "side angles" are equal (45 degrees), we know it is an isosceles triangle, that means also the other side = x.
and so,
8 = x² + x² = 2x²
4 = x²
x = 2
Answer:
x = 2
Step-by-step explanation:
sin(45)/x = sin(90)/[tex]\sqrt{8}[/tex]
[tex]\sin \left(45^{\circ \:}\right)=\frac{\sqrt{2}}{2}[/tex]
x = [tex]\sqrt{8}[/tex] [tex]\sin \left(45^{\circ \:}\right)[/tex]
[tex]x = \sqrt{8} \frac{\sqrt{2}}{2}[/tex]
x = [tex]\frac{\sqrt{16} }{2}[/tex]
x = 4/2
x = 2
The area of a parallelogram is 60 f2.
The height is 5 ft. How long is the
base?
Answer:
12 feet
BRAINLIEST, PLEASE!
Step-by-step explanation:
Area = base x height
60 = base x 5
base = 60/5
base = 12
the product of two rational number is _______ number
give answers this question
Answer:
rational number
Step-by-step explanation:
multiplying two rationals is the same as
multiplying two such fractions, which will
result in another fraction of this same form
since integers are closed under
multiplication. Thus, multiplying two rational numbers produces another rational number.
"The product of two rational number is rational" So, multiplying two rationals is the same as multiplying two such fractions, which will result in another fraction of this same form since integers are closed under multiplication.Sep 5, 2020
Which expression is equivalent to: 16x - 16
4(2x - 2)
4(4x - 16)
4(4x - 4)
Answer:
4(4x-16)
Step-by-step explanation:
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IF ANYONE IS READING THIS AND IS TIRED OF BOTS, MAY I PLEASE GET SOME HELP?
You deposit $400 in an account earning 5% interest compounded annually. How much will you have in the account in 15 years?
I'm a little bit stuck.
A(t)=P(1+r)t
A = accrued amount = what you are solving for
P = principle investment = $400
r = rate of growth = 5% = 0.05
t = time = 10 years
A(10) = 400(1.05)10 (use calculator to solve)
A(10) ≈ 4,200
Terrell loves to listen to music, so he buys a subscription to a music-streaming service. He pays $4.99 each month. How much does the streaming service cost per year?
Is speed the rate of change in the velocity of a moving body?
No, speed is the rate of change of distance.
Velocity is the rate of change of displacement.
Distance is scalar quantity, it has just magnitude.
Displacement is vector quantity, it has both magnitude as well as direction. So, speed and velocity are scalar and vector respectively too.
How many real solutions does this system of equations have? x2 +3 = y
3х — у+1 = 0
Answer:
Step-by-step explanation:
y = x²+3
y = 3x+1
x² + 3 = 3x +1
x² - 3x + 2 = 0
(x-2)(x-1) = 0
x = 2, 1
Two solutions
(2,7) and (1,4)
A nurse is preparing to administer cefaclor 40 mg/kg/day PO divided in equal doses every 8 hr to a child who weighs 48 lb. Available is cefactor
suspension 375 mg/5 ml. How many mL should the nurse administer per dose? (Round the answer to the nearest tenth. Use a leading zero if it
applies. Do not use a trailing zero.)
This question is solved by proportions.
Step 1:
A nurse is preparing to administer cefaclor 40 mg/kg/day.
This means that the first step is finding the baby's weight in kg.
The child weighs 48lb. Each lb has 0,453592kg.
So the child weighs 48*0.453592 = 21.7724kg.
Step 2:
Here, we find the daily dose.
For each kg, the baby is administered 40 mg.
Since the baby weighs 21.7724 kg, the daily dose is of 40*21.7724 = 870.896 mg.
Step 3:
Here, we find how many mL in a day.
For 375 mg, 5 mL are administered. How many mL for 870.896 mg?
375 mg - 5 mL
870.896 mg - x mL
Applying cross multiplication:
[tex]375x = 5*870.896[/tex]
[tex]x = \frac{5*870.896}{375}[/tex]
[tex]x = 11.6[/tex]
Step 4:
Here, we find how many mL per dose.
Equal doses every 8 hours, so 24/8 = 3 doses per day.
11.6/3 = 3.9
Thus, the nurse should administer 3.9 mL per dose.
For more on proportional variables, you can check https://brainly.com/question/23536327.
Answer:
x = 3.9 ml quantity of ml / dose
Step-by-step explanation:
The child weighs 48 lbs.
Then the weigh in kgs is 48 * 0.454 = 21.792 kgs (since 1000 lbs = 454 kgs)
If the nurse has to prepare doses according to 40 mg/kg/day then for a child of 21.792 kgs it is needed 21.792*40 mg or 871.68 mg/day, and the fact that he or (she) need to take three doses then each dose will be of
871.68/3 = 290.56 mg
So far we know that each dose should contain 290.56 mg, now we have the cefactor in a suspension wich density is 375 mg/5 ml or 75 mg/ml
Then by rule of three
if 75 mg ⇒ 1 ml
290.56 mg ⇒ x (ml)
x = 290.56/75 ( mg*ml)/ mg
x = 3.87 ml round to the nearest tenth
x = 3.9 ml
