Answer:
The minimum balance is 68 liters
Step-by-step explanation:
Let the number of liters of petrol required be x
Given that One litre of petrol has a mass of 737g, x liters will have a mass
= 0.737x kg
Recall that 1 kg = 1000g
Since the empty fuel tank has a mass of 1050kg
The total mass = 1050 + 0.737x IN kg
For the total mass to exceed 1100kg, then
1050 + 0.737x > 1100
0.737x > 1100 - 1050
0.737x > 50
Divide both sides by 0.737
x > 50/0.737
x > 67.84260516
One number is 16 more than the other and their average is 60. The numbers are *
Answer:
68
Step-by-step explanation:
Let The first number = X
& the Second one = X + 16
Sum of these two numbers = 120
X + X + 16 = 120
2X = 120 - 16
2X = 104
X = 52
So , the first number = 52
& Second one = 52 + 16 = 68
Answer:
The numbers are 52 and 68.
Step-by-step explanation:
Let x be the first number and y be the second. The question tells us that:
1) x = y + 16
2) (x + y) / 2 = 60
2 equations, 2 unknowns. Solve the system. Plug equation 1 into equation 2:
(y + 16 + y) / 2 = 60
2y + 16 = 120
y + 8 = 60
y = 52
Now plug the value of y back into either original equation. I'll use the first:
x = 52 + 16
x = 68
Lisa, Taryn, and Catherine go to a store to buy party supplies. The store has a sale on the supplies they want for 3_4 the original price. The girls agree to each pay 1_3 of the cost.
Answer:
1/4 of the cost
Step-by-step explanation:
Lisa, Taryn, and Catherine go to a store to buy party supplies. The store has a sale on the supplies they want for 3/4 the original price. The girls agree to each pay 1/3 of the cost. What fraction of the original price did each girl pay?
Discounted price = 3/4 the original price
Each girl agreed = 1/3 of the cost
Amount each girl paid = 3/4 * 1/3
= (3 * 1) / (4 * 3)
= 3 / 12
= 1/4 of the cost
Amount each girl paid = 1/4 of the cost
The breakdown of a sample of a chemical compound is represented by the function p(t) = 500 (0.25)^t, where p(t) represents the number of milligrams of the substance and t represents the time. In years. In the function p(t), explain what 0.25 and 500 represent.
Given:
The function is:
[tex]p(t)=500(0.25)^t[/tex]
Where p(t) represents the number of milligrams of the substance and t represents the time.
To find:
The correct explanation for the number 0.25 and 500 in the given function.
Solution:
The general exponential function is:
[tex]y=ab^x[/tex] ...(i)
Where, a is the initial value and b is the growth/decay factor. If [tex]0<b<1[/tex], then decay factor and if [tex]b>1[/tex], then growth factor.
We have,
[tex]p(t)=500(0.25)^t[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=500[/tex], it means initial there are 500 milligrams of the substance.
[tex]b=0.25[/tex], this value is less than 1, it means the substance is decreasing by a factor of 0.25.
Therefore, 0.25 means the substance is decreasing by a factor of 0.25 and 500 means the initial value of substance is 500 milligram.
Prove that 7 root 3 is an irrational number.
Step-by-step explanation:
because it has decimal values, the number is irrational
Find the median of 2,4,4,8
Answer:
4
Step-by-step explanation:
First, the numbers should be in ascending or descending order . Since, 4 numbers are in ascending order we don't have to do that .
Second, find the "middlest" of them . If there were total of odd numbers it would have been easier but, here is total of even number(4) and mean of 2 middlest number would be its median: (4+4)/2=4 .
Evaluate the expression for the given value. 3x(x−2), when x=7 please help just give me the straight answer im failing and my mom will kick me ouit she aubuses me hellllp
[tex]\longrightarrow{\blue{105}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]3x \: (x - 2)[/tex]
Plugging in the value [tex]x\:=\:7[/tex] in the above expression, we have
➺ [tex] \: 3 \times 7 \: (7 - 2)[/tex]
➺ [tex] \: 3\times 7 \: (5)[/tex]
➺ [tex] \: 3 \times 35[/tex]
➺ [tex] \: 105[/tex]
Note:-[tex]\sf\purple{PEMDAS\: rule.}[/tex]
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
What time will it be in 3/4 hour? Answer for me please x
Answer:
9:25
hope this helps
have a good day ;)
Step-by-step explanation:
3/4 of an hour=45 minutes so add 8:40 + 45 min
Answer:
9 : 25
Step-by-step explanation:
It shows 8 : 40
After 3/4 hour or 45 minutes.
8 : 40 + 20 minutes + 25 minutes
9 : 00 + 25 minutes = 9 : 25
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
28[tex]\pi[/tex] in
Step-by-step explanation:
The circumference of a circle is [tex]2\pi r[/tex] in which [tex]r[/tex] represents radius.
[tex]2\pi[/tex]×14 = 28[tex]\pi[/tex] in
Answer:
[tex]circumference \: of \: the \: circle = 2\pi \times radis[/tex]
[tex] = 2 \times \frac{22}{7} \times 14[/tex]
[tex] = \frac{11}{1} \times 2[/tex]
[tex] = 11 \times 2[/tex]
[tex]22cm[/tex]
the image of O(3,2)in half turn about origin gives....?
Answer:
O' (- 3, - 2 )
Step-by-step explanation:
Under a half turn about the origin
a point (x, y ) → (- x, - y ) , then
O (3, 2 ) → O' (- 3, - 2 )
Someone plz help me!
Answer:
56.25 cm
Step-by-step explanation:
your teacher wrote the approach already : the law of sines.
in our example we have
sin(28)/27 = sin(102)/c
c×sin(28)/27 = sin(102)
c×sin(28) = 27×sin(102)
c = 27×sin(102)/sin(28) = 27×0.98/0.47 = 56.25 cm
3. For the following system of equations, complete a table of at least 5 points for each equation, then graph the system on the coordinate plane. Describe the solution.
y = -3x + 4
6x + 2y - 8 = 0
Answer:
I'll do it for the equation, then you can try to solve the second one. Of your not able to, just comment and I'll answer the second one
Step-by-step explanation:
y = -3x+4
When
___x__l _y____
0 l 4
1 l 1
2 l -2
3 l -5
4 l -8
Suppose that there are 20 numbers in a data set and that they are all different. a. How many of the values in this data set are between the first quartile and the third quartile?
Step-by-step explanation:
6duryrvrurbryebeirvbrudgdhd7rhdudhsydydhd
Please please help me with this
Step-by-step explanation:
i think is k , m , l
bcause 4 is the smallest number,
and 12 is the biggest number.
Darla is painting a mural. She needs to paint a rectangular stripe that measures 1 half yard by 6 yards. Which is the area of the stripe?
Answer:
3 yards^2
Step-by-step explanation: Area of a rectangle=Length*Width. 6 yards*0.5 yards=3 yards^2
Help with this question, not sure what the answer is
Answer:
3rd option
Step-by-step explanation:
The zeros ( where the graph crosses the x- axis ) are x = 3 and x = 7
The corresponding factors are then (x - 3) and (x - 7)
The equation is then
f(x) = a(x - 3)(x - 7) ← a is a multiplier
To find a substitute any point on the graph into the equation.
Using (8, 15 ) , then
15 = a(8 - 3)(8 - 7) = a(5)(1) = 5a ( divide both sides by 5 )
3 = a
Thus
f(x) = 3(x - 3)(x - 7)
ayuda porfavor es urgente
Select all expressions that at equivalent to the expression 3x + 5. A. 9x − (−5 + 6x) B. 9x − (5 − 6x) C. 9x − (6x + 5) D. 9x − (6x − 5) E. 9x − (−6x + 5)
Answer:
A. 9x − (−5 + 6x)
D. 9x − (6x − 5)
Step-by-step explanation:
Select all expressions that at equivalent to the expression 3x + 5.
To get our answer, we have to solve each option
A. 9x − (−5 + 6x)
= 9x + 5 - 6x
= 9x - 6x + 5
= 3x + 5
Option A is correct
B. 9x − (5 − 6x)
= 9x - 5 + 6x
= 9x + 6x - 5
= 15x - 5
Option B is wrong
C. 9x − (6x + 5)
9x - 6x - 5
= 3x - 5
Option C is wrong
D. 9x − (6x − 5)
= 9x - 6x + 5
= 3x + 5
Option D is correct
E. 9x − (−6x + 5)
= 9x + 6x - 5
= 15x - 5
Therefore, Option A and D are the correct options with the right expressions
Date:
ASSIGNMENT: Wages and Salaries
1. Martha works as a window dresser in her hometown
of Victoria, BC. To finish a window at a local clothing
store, she charged $16.72 per hour. If it takes her
five hours to finish the window, how much will her
gross pay be for the job?
the triangles are similar, what is the value of x?
Two triangles that intersect at a single vertex. The smaller triangle has an upper angle measuring 126 degrees and the angle where the vertices intersect measuring 16 degrees. The larger triangle has an upper angle measuring 126 degrees. The exterior angle made where the triangles intersect above the point of intersection measures 3 x degrees.
x = 16
x = 38
x = 42
x = 54
Answer:
I think it would be 42. If its wrong I'm sorry
Sam, a researcher, and his team conduct a study to examine the effect of WakeMe, an energy drink, on intelligence levels of people in a small town. The people from this town are randomly divided into two equal, representative groups. Members of one group, Group MW, are made to drink WakeMe and then take an intelligence test. Members of the other group, Group NoMW, are made to drink plain water packaged in WakeMe bottles and then take an intelligence test. In this scenario, ______ is the control group and the ______ is the experimental group.
Answer:
Hence, In this scenario, __Group NoMW____ is the control group and the ___Group MW___ is the experimental group.
Step-by-step explanation:
The control group is the one which is not subjected to any testing situation or condition.
While the experimental group is the one which is subjected to testing condition.
Hence, In this scenario, __Group NoMW____ is the control group and the ___Group MW___ is the experimental group.
Another fairly simple one, pretty much a free Brainliest and 30 points.
Answer:
Solution given:
[tex]8\frac{7}{12}-3\frac{1}{3}=\frac{8*12+7}{12}-\frac{3*3+1}{3}[/tex]
=[tex]\frac{103}{12}-\frac{10}{3}[/tex]
taking lcm
=[tex] \frac{103-10*4}{12}=\frac{63}{12}=\frac{21}{4}=5\frac{1}{4}[/tex]
Answer:
5 1/4
Step-by-step explanation:
8 7/12 - 3 1/3
We need to get a common denominator of 12
8 7/12 - 3 1/3 *4/4
8 7/12 - 3 4/12
5 3/12
Simplifying the fraction
5 1/4
17 points Please help me with the answer and understanding
•Please actually help me out I want to better understand this
•trolls will be reported
Because the graph is starting high and going down, your answer is c- exponential decay
Answer:
This is exponential decay.
Step-by-step explanation:
Lets break down the answers:
A: Linear Growth. Well, we can eliminate this because the line is going down, its decay. Also, linear means line, a straight line.
B: Exponential Growth. This might work, but then again, it says *growth* not decay. Exponential is correct because as the values get bigger and bigger, the line curves.
C: Exponential Decay. Yes! This is exactly what we need. Exponential because of the curve... and of the decay.
D: Linear Decay. No, linear, again, is for lines. But now, we have already eliminated it because it says linear.
find the value of x
7
17
x*
Answer:
the awnser is 24
Work out the answers to:
a) 5 divided 0.1
b) 8 divided 0.02
c) 2.4 divided 0.3
d) 32 divided 0.16
Answer:
a) 50
b) 400
c) 8
d) 200
Step-by-step explanation:
a) 5 divided 0.1
[tex]\frac{5}{0.1} = \frac{5 \times 10}{0.1 \times 10} = \frac{50}{1} = 50[/tex]
b) 8 divided 0.02
[tex]\frac{8}{0.02} = \frac{8 \times 100}{0.02 \times 100} = \frac{800}{2} = 400[/tex]
c) 2.4 divided 0.3
[tex]\frac{2.4}{0.3} = \frac{2.4 \times 10}{0.3 \times 10} = \frac{24}{3} = 8[/tex]
d) 32 divided 0.16
[tex]\frac{32}{0.16} = \frac{32 \times 100}{0.16 \times 100} = \frac{32 \times 100}{16} = 200[/tex]
Brainliest goes to whoever answers correctly also if you want more points then answer my others
Answer:
It is a value that is an abnormal distance from the other values in a data set.
Step-by-step explanation:
An outlier is something that stands out from another thing. Such as color in a black and white film.
When completely factored, 2x3 - 200x
equals-
Answer:
Step-by-step explanation:
The only way this can be factored is by pulling out the GCF. 2 and x are common to both terms:
[tex]2x(x^2-100)[/tex]
BUT you should also recognize that what's inside the parenthesis is the difference of perfect squares. And that factors to
(x - 10)(x + 10). So the complete factorization is
2x(x - 10)(x + 10)
which ordered pair is a solution to the system of inequalities graphed?
Answer:
(2,2)
Step-by-step explanation:
fits the requirements
Evaluate the exponential expression.
3•42
Answer:
48
Step-by-step explanation:
Trust me
Does anybody know it
The lengths of two pieces of fabric are in the ratio 7:5. If the first length is 210 meters, what is the second length? *
Answer:
150 meters
Step-by-step explanation:
[tex]\frac{7}{5} =\frac{210}{x\\}[/tex]
cross multiply:
7x = 1050
solve for x by dividing both sides by 7:
x = 150
the second length is 150 meters
Answer:
150 meters
Step-by-step explanation:
To get from 7 to 210 it was multiplied by 30 (we know this because 210 divided by 7 is 30) so that means to get from 5 to the missing length of the second rope, you multiply by 30. 5 times 30 is 150, so the second rope is 150 meters long.
:) ur welcome
