Answer:
45. 20
46. 30
47. 60
Step-by-step explanation:
Let :
Badia = xCharli = 1 1/2x = 1.5xSiva = 2(1.5)x = 3xSolving
x + 1.5x + 3x = 1105.5x = 110x = 20Solution
Badia = 20Charli = 30Siva = 60Answer:
Badia made 20 nails
Charli made 30 nails
Siva made 60 nails
Step-by-step explanation:
Let b = number of nails Badia made
Let c = number of nails Charli made
Let s = number of nails Siva made
Given:
Charli made one and half times as many as Badia⇒ Equation 1: c = 1.5b
Given:
Siva made twice as many as Charli⇒ Equation 2: s = 2c
Given:
They all made a total of 110 nails⇒ Equation 3: b + c + s = 110
Substitute Equation 1 into Equation 2:
⇒ s = 2(1.5b) = 3b
Substitute s = 3b and Equation 1 into Equation 3 and solve for b:
⇒ b + c + s = 110
⇒ b + 1.5b + 3b = 110
⇒ 5.5b = 110
⇒ b = 20
Substitute found value of b into Equation 1 and solve for c:
⇒ c = 1.5b
⇒ c = 1.5(20)
⇒ c = 30
Substitute found value of c into Equation 2 and solve for s:
⇒ s = 2c
⇒ s = 2(30)
⇒ s = 60
Therefore:
Badia made 20 nailsCharli made 30 nailsSiva made 60 nails
Lorenzo increases all the prices on his restaurant menu by 8%
After the increase, the price of lasagne is £9.45
Work out the price of lasagne before the increase.
Step-by-step explanation:
to add 8% the simplest operation is to multiply the basic amount by 1.08.
so,
£9.45 = original price × 1.08
original price = £9.45/1.08 = £8.75
the price before the increase was £8.75.
Decide whether the data in the table represent a linear function or an
exponential function. Explain how you know.
X
y
1
4
2
-5
3
-14
-23
5
-32
O A. The data represent an exponential function because there is a
common ratio of
5
4
OB. The data represent a linear function because there is a common
difference of -9.
OC. The data represent a linear function because there is a common
difference of 9.
OD. The data represent an exponential function because there is a
4
Answer:
Its a linear function as there is a common difference of -9.
Step-by-step explanation:
x y Difference
1 4
2 -5 -9
3 -14 -9
4 -23 -9
5 -32 -9
For a difference in x of we have a difference in y of -9.
What is the length of AP?
Answer: 4) 24
Step-by-step explanation:
The mean length of 7 childrens' index finger is 9.4cm. The mean length of 5 adults' index finger is 10.2cm. What is the mean length (rounded to 2 DP) of these 12 people's index finger?
Answer:
9.73 cm to 2 DP
Step-by-step explanation:
Total of the lengths involved = 7*9.4 + 5*10.2
= 116.8 cm
So the mean of the 12 fingers
= 116.8/12
= 9.73 cm to 2 DP.
if g(x) = 3x+1 what is g(2)?
Answer:
7
Step-by-step explanation:
Substitute 2 into x
g(2)= 3(2)+1
= (3x2)+1
= 6+1
= 7
Find the value of x in the equation without evaluating the power
Answer:
See below
Step-by-step explanation:
2 ^(5+x) = 2^8 (because 256 = 2^8)
equate the exponents 5+x = 8 then x = 3
1/3 ^(2+x) = 1 / 3^ 6 (because 729 = 3^6 )
equate the exponents 2+ x = 6 then x = 4
Answer:
a) x = 3
b) x = 4
Step-by-step explanation:
Use the Exponential Power Rule.
[tex]a^x \times a^y = a^{x+y}[/tex]
Also covert the term on the right to the same base as on the left.
If you are allowed to have calculator do [tex]\log_{\text{base}} (\text{number})[/tex] to get the exponent. For example [tex]\log_{2} (256) = 8[/tex], that means [tex]256 = 2^8.[/tex]
Without calculator you can divide with base untill you have it fully factored, then count. For example:
256/2 = 128
128/2 = 64
64/2 = 32
32/2 = 16
16/2 = 8
8/2 = 4
4/2 = 2
2/2 = 1
We had to divide with base two 8 times so 256 = 2⁸.
a)
[tex]2^5 \cdot 2^x = 256\\2^{5+x} = 2^8[/tex]
Now that we have same base we can equate the exponents!
[tex]5 + x = 8\\x = 8 - 5\\x = 3[/tex]
b)
[tex](\frac{1}{3})^2 \cdot (\frac{1}{3})^x = \frac{1}{729}\\\\(\frac{1}{3})^{2+x} = \frac{1}{3^6}\\\\(\frac{1}{3})^{2+x} = (\frac{1}{3})^6[/tex]
[tex]2 + x = 6\\x = 6 - 2\\x = 4[/tex]
What is the solution to the following
equation?
7x - 20 = -41
-
a). X=-3
b). X=3
Answer:
A). X = -3
Step-by-step explanation:
Step 1: Add 20 to both sides.
[tex]7x-20+20=-41+20[/tex] [tex]7x=-21[/tex]Step 2: Divide both sides by 7.
[tex]7x/7 = -21/7\\[/tex] [tex]x=-3[/tex]Step 3: Check if solution is correct.
[tex]7(-3)-20=-41[/tex] [tex]-21-20=-41[/tex] [tex]-41=-41[/tex]help me please I need it
Answer:
A
Step-by-step explanation:
The formula for a rectangular prism is length*width*height. Thus, the equation would be 6*4*16, which equals 384 cm^3.
The quotient of (x4 – 3x2 4x – 3) and (x2 x – 3) is a polynomial. what is the quotient?
The quotient of (x⁴ - 3x² + 4x - 3) and (x² + x - 3) is x² - x + 1
How to determine the quotient?The quotient expression is given as:
(x⁴ - 3x² + 4x - 3) ÷ (x² + x - 3)
Factor the dividend of the quotient expression
(x² + x - 3)(x² - x + 1) ÷ (x² + x - 3)
Cancel out the common factors
x² - x + 1
The above means that:
The quotient of (x⁴ - 3x² + 4x - 3) and (x² + x - 3) is x² - x + 1
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I don't have a question but x + 8900 = 390
Answer:
you did it wrong you have to subtract X from 8900.
First you want to subtract 390 from 8900 and that equals
8510Triplets Peter, Reeta and Nikita have two ways for getting home from school each day: cycle on a tandem bike or walk. The bike can carry either one or two riders at a time. Regardless of the number of people pedalling, cycling speed is 5 times walking speed. The triplets always leave school at the same time and always use the same path between school and home, whether walking or cycling. The school is 5km from home and their walking speed is 4 kilometres per hour.
d) On Thursday, it is Reeta's turn to walk. Peter drops Nikita off at a certain point leaving her to walk home, Meanwhile he returns to pick up Reeta and they cycle home together. If all three arrive home at the same time, how far from school are the drop-off ad pick up points.
Answer:
Pick up point is 1.43 km from the school and drop point is 3.57 km from the school ( to the nearest hundredth).
Step-by-step explanation:
School <----------- 5 km ---------------> Home
_______ P _______ D _______
x km y km 5-x-y km
_______
y
_________________
5-x km
D is the point where Peter drops off N and P is the pick point x km from the school where Peter picks up R. He travels back y km to pick up R.
We work in times:
Time = distance / speed
The time that R walks from the school to point P is the same as Peter travels the distance (x + 2y) km, so we have
x/5 = (x + 2y)/20
20x = 5x + 10y
15x - 10y = 0 A
The time that N walks home equals the time that Peter travels y + 5 - x km.
So (y + 5 - x)/20 = (5 - x - y)/5
5y + 25 - 5x = 100 - 20x - 20y
15x + 25y = 75
3x + 5y = 15 B
Solving equation A and B
15x - 10y = 0
3x + 5y = 15
Multiply the second equation by 2:
6x + 10y = 30
Adding this to the first equation
21x = 30
x = 30/21 = 1.4285
So 3(1.4285) + 5y = 15
y = 2.1428
Pick up x = 1.43 km
and the drop is 1.43 + 2.14 = 3,57 km from the school
A box has a length of 5 feet, width of 4 feet, be a height of 8 inches. what is the volume of the box in cubic inches
Answer:
160in³
Step-by-step explanation:
V = lwh
V = 5(4)(8)
V = 40(4)
V = 160in³
Between which two consecutive whole numbers does \sqrt{37}
37
lie? Fill out the sentence below to justify your answer and use your mouse to drag \sqrt{37}
37
to an approximately correct location on the number line.
Natural numbers are those that can be counted and ordered. The two consecutive whole numbers between which √37 lies are 6 and 7.
What are natural numbers?Natural numbers are those that can be counted and ordered. Cardinal numbers are those used for counting, while ordinal numbers are those used for ranking.
The value of √37 is equal to 6.0827 units. Therefore, the two consecutive whole numbers between which √37 lies are 6 and 7.
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Frank worked 48 hours this week. He gets paid $18 per hour for the first 40 hours and then
Gets time-and-a-half (1.5) for the rest of the time. How much money did he make this week
in total?
Find the three arithmetic means in this sequence.
2, __, __, __, -18
Answer:
-16 -14 -12
Step-by-step explanation:
This is the answer because if you subtract -18 from 2, you would get -16 and so on and so on.
contsruction workers resurface parts of the N1 highway . they completed 2km per day how many kilometers are completed in total after the first three years
Answer:
2 190km
Step-by-step explanation:
365×3= 1 095
1 095×2km= 2 190km
. Find the value of x for which ABCD must be a parallelogram.
B
3x
4x - 5
A
D
Answer:
x = 5
Step-by-step explanation:
make them equal to each other
3x = 4x-5
x = 5
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HELP ASAP THIS IS DO TOMORROW!
Answer:
The volume of the box is 250cm³
Step-by-step explanation:
V = Length * Width * Height
V = 5cm * 5cm * 10cm
V = 250cm³
The volume of the given box (rectangular prism).
Solution:[tex]V = whl[/tex]
[tex]V = 10 \times 5 \times 5[/tex]
[tex]\large\boxed{\sf{V = 250 \: {cm}^{3}}}[/tex]
Therefore, the volume of the given box (rectangular prism) is 250 cubic centimeters.
1. How many ounces of pure salt must be added to 11oz of
40% salt solution to produce a 75% solution? (Pure salt is 100%.)
Round your answer to the nearest hundredth of an oz.
oz.
To produce a 75% solution, it is required to add a total of 3.85 ounces of pure salt to the initial solution.
How many ounces of salt are there in the initial solution?11 oz = 100x = 40x = 11 x 40 / 100x = 4.4 ozHow many ounces of salt need to be added?4.4 oz = 40x = 75x = 75 x 4.4 / 40x = 8.258.25 - 4.4 = 3.85 ouncesLearn more about ounces in: https://brainly.com/question/26950819
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Help please thank you!
Answer:
Here is the answer...hope it helps
a little help!!!!!!!!!!!!!!!
Answer:
See below ~
Step-by-step explanation:
2. a. Combination (as there is no particular order in which they are selected)
3. b. 5 (As there are 5 letters present)
4. Ways in which the word can be arranged :
13! / (2! x 2! x 2! x 2!)13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 / 1613 x 12 x 11 x 10 x 9 x 7 x 6 x 5 x 4 x 3 a. 389,188,8005. No. of ways :
17 x 16 x 1517 x 240c. 40806. P (Honda) :
No. of Hondas / Total Cars36/67b. (.5373)What is the missing number in the table?
x
1
2
3
4
5
y
6
36
216
???
7,776
252
396
864
1,296
In circle J with the measure of minor arc \stackrel{\Large \frown}{HK}=58^{\circ}, HK ⌢ =58 ∘ , find \text{m} \angle HLK.m∠HLK
By applying the central angle property, the measure of angle HLK is equal to 29°.
What is the central angle property?The central angle property states that an inscribed angle is equal to half the measure of a central angle that is subtended by the same arc.
This ultimately implies that, a central angle is double (twice) the measure of an inscribed angle that is subtended by the same arc.
By applying the central angle property, we have:
HK = 2m∠HLK
58 = 2m∠HLK
m∠HLK = 58/2
m∠HLK = 29°.
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Which algebraic representation shows a reduction? (x, y) → (x - 3, y - 3) (x, y) → (12x, 12y) (x, y) → (-3x, -3y) (x, y) → (-3x, y)
Answer:
hello!!!!
im pretty sure the answer is (x, y) --> (-3x, -3y)
please read the explanation it always helps!!!
Step-by-step explanation:
reduction most likely means that you are dealing with dilations in geometry....
and that means you will need to multiply both x and y by a negative number.
i hope this helps!!!
3. What is the best description of an isosceles triangle?
a triangle with a right angle
a triangle with all equal sides
a triangle with no equal sides
a triangle with two equal sides
Answer:
a triangle with two equal sides
Step-by-step explanation:
If $535 is invested at an interest rate of 7% per year and is compounded continuously how much for the investment be worth in 15 years?
Answer:
some people an fly high until good bye
Step-by-step explanation:
Answer:
The final balance would be $1,528.84
Step-by-step explanation:
The final balance would be $1,528.84 and the total compound interest would be $993.84
2) Frank's Auto Zone charges $125 for parts and $75 per hour for labor.
Gracie's Engine Works charges a flat fee of $425 for the same job. Aft
how many hours would the companies charge the same amount?
Mark only one oval.
A) 2 hours
B) 3 hours
C) 4 hours
D) 5 hours
Answer:
the answer is c 4 hours because it's 75 per hour
i have 1 day to answer this so please help me
Answer:
The answer is D. Hope this helps :)
how to make a decimal into a fraction
Answer:
you have to make a fraction into a whole number.
Step-by-step explanation:
math question need helpp
Answer:
(5^6)/(5^3) = 5^3 or 125
Step-by-step explanation:
^ = raised power
(5^6)/(5^3)
because base (5) is same:
law of indices: n^a ÷ n^d = n^(a-d)
therefore
5^6 ÷ 5^3 = 5^(6-3)
= 5^3 which is 125