Answer:
After solving the pair of simultaneous equations we get x=5 and y=1. Solution Set = {5,1}
Step-by-step explanation:
We need to solve the pair of simultaneous equations
[tex]0.6x-4y=-1\\0.8x-3.5y=0.5[/tex]
We can solve using substitution method.
Let:
[tex]0.6x-4y=-1--eq(1)\\0.8x-3.5y=0.5--eq(2)[/tex]
Find value of x from eq(1) and put it in eq(2)
[tex]From \ eq(1):\\0.6x-4y=-1\\0.6x=-1+4y\\x=\frac{-1+4y}{0.6}[/tex]
Putting in equation 2
[tex]0.8x -3.5y =0.5\\0.8(\frac{-1+4y}{0.6})-3.5y=0.5\\1.33(-1+4y)-3.5y=0.5\\-1.33+5.32y-3.5y=0.5\\-1.33+1.82y=0.5\\1.82y=0.5+1.33\\1.82y=1.83\\y=\frac{1.83}{1.82}\\y=1.00[/tex]
So, we get value of y= 1.00
Now finding value of x by putting value of y in eq(1)
[tex]x=\frac{-1+4y}{0.6}\\x= \frac{-1+4(1.00)}{0.6}\\x=\frac{3}{0.6}\\x=5[/tex]
We get value of x = 5
So, After solving the pair of simultaneous equations we get x=5 and y=1. Solution Set = {5,1}
what is the value of tan(arrcos( -[tex]\sqrt{2}[/tex] /2)?
Answer:
tan(arrcos( -√2 /2)) = -1
(result in radians)
Step-by-step explanation:
A savings bond currently made Jamar $2,112.64 worth of interest in 7 years. If the investment gained 5.5% annual simple interest each year, approximately how much was the bond originally bought for?
Answer:
$5487.38
Step-by-step explanation:
Given that:
Interest currently made = $2112.64
Time = 7 years
Rate of interest = 5.5% annual
To find:
The price for which the bond was originally bought ?
Solution:
We need to find nothing but the principal amount.
First of all, let us have a look at the formula for Simple Interest.
[tex]Simple\ Interest = \dfrac{PRT}{100}[/tex]
Where [tex]P[/tex] is the principal amount
[tex]R[/tex] is the Rate of Interest
[tex]T[/tex] is the time for which the investment is made
Let us put the given values in the formula:
[tex]2112.64 = \dfrac{P\times 5.5\times 7}{100}\\\Rightarrow P =\dfrac{2112.64\times 100}{5.5\times 7}\\\Rightarrow P =\dfrac{211264}{38.5} \\\Rightarrow \bold{P =\$5487.38}[/tex]
4 1/3 divided by 4/7
Answer:
The answer is 91/12 in exact form or 7 7/12 in mixed number form.
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
An orange punch is 45% juice and a mango punch is 20% juice. By combining the two, a company is making 500 L of a fruit punch that is 40% juice. How many liters of orange punch are needed for the company’s concoction? Make sure to include units. PLEASE FAST. AND SHOW WORK
Answer:
400 liters of orange punch and 100 liters of mango punch are required to create a mixture with 40% juice.
Step-by-step explanation:
Given that the orange punch has 45% juice and the mango punch has 20% juice, if you want to create a mixture of 500 liters of fruit punch that has 40% juice, to determine the percentage of punch of each fruit to be used, the following calculation must be performed:
45 x 1 + 20 x 0 = 45
45 x 0.9 + 20 x 0.1 = 42.5
45 x 0.8 + 20 x 0.2 = 40
Therefore, it takes 80% orange punch and 20% mango punch to create a mixture with 40% juice. Thus, since 500 x 0.8 equals 400, 400 liters of orange punch and 100 liters of mango punch are required to create a mixture with 40% juice.
How do you do this question?
Answer:
S(50) = 0
Step-by-step explanation:
The initial condition is S(0) = 0, so start at the origin. The slope there is approximately 1. So as t increases by a small amount, S increases by the same amount. Continuing this logic, we end up tracing the vector field until we get to t=50, where S is approximately 0.
Each little tickmark is a slope value telling you which direction to go. If you place yourself at the origin (0,0) then the tick mark here tells us to go roughly in the northeast direction. As you step forward to the northeast just a tiny bit, the slope value changes to aim more toward the east (rather than north). For more information, check out Euler's method. Specifically it's Euler's method dealing with slope fields.
The diagram below shows what could be each step of this process. Each red dot is a stepping stone, so to speak, going from (0,0) to (50,0). This is an approximation. Without the actual function F(t, S), it's hard to say where exactly S(50) is located. But S(50) = 0 is a fairly good guess I think. MathPhys has a great diagram showing what could be the solution for S(t) given the initial condition S(0) = 0. Note how they drew a curve through all of the red points I've marked.
John is eating out with friends, and it is his turn to pay gratuity. The bill for the food is $48.53. If he plans to tip 20%, what should the tip be?
Answer:
$9.76
Step-by-step explanation:
20% is 1/5 of the bill. The answer is 48.53 +( 48.53*1/5) which is 9.76 so the $9.76
Plz mark brainliest if correct!
Hope this helps
Answer:
Step-by-step explanation: well you can just plug it into a calculator.
the answer is 9.706 or 9.7 if you simplify it and if you are rounding to the nearest tenth then its 10.
hope this helps!
In a-d, choose whether the fraction and percent are equivalent.
50/33 and 117% yes or no (HURRY UP)
Answer: no
Step-by-step explanation:
117% equals 1.17 and 50/33 equals 1.51 repeating so they aren’t equal.
whats the answer to this MARKING BRAINLIEST
Answer:
400 square feet
Step-by-step explanation:
20 x 20 = 400
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Answer:
400 square feet
Step-by-step explanation:
Area = length x width
A = lw
A = 20 x 20
20 x 20 = 400
Area = 400 ft^2
HELP ME SOLVE THis Plz Solve last one plz
Answer:
the last one is 128.9
PLEASE HELP ME ASAP
Which graph best represents the solution set of y > 3x - 4
Answer:
Step-by-step explanation:
THE MIDDLE ONE
Write the following as a base-10 numeral in standard form.
4 x 105 + 2 x 102 + 7 =
9514 1404 393
Answer:
400207
Step-by-step explanation:
Any calculator can form this sum for you. It is ...
4×10^5 +2×10^2 +7
= 400,000 +200 +7
= 400207
A market trader bought 100 loaves at 84p each
Answer:
8400p.
Step-by-step explanation:
I'm assuming you're asking about the total price of the loaves here. Please specify your question further next time.
(84*100)p
= 8400p
Hope that helped!
Factor the algebraic
12a+20=
Answer:
4(3a+5)
Step-by-step explanation:
When you factor an algebraic expression, you divide the initial expression by a common factor to produce your answer.
have a gr8 day (:
Does the ratio 15/12 and 5/4 form a proportion?
Answer:
yes
Step-by-step explanation:
5 times 3 is 15 and 12 and 15 and 12 divided by 3 you will get 5/4
If we know that the length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 3.3 minutes and a standard deviation of 1 minute, find the point in the distribution in which greater than 75.8% of the college students in trying to find a parking spot in the library parking lot.
A. 2.6 minutes
B.2.8 minutes
C.3.2 minutes
D.4.2 minutes
Answer:
i believe its c
Step-by-step explanation:
A car dealership sold 84 cars in April. The dealership wants to increase the number of cars sold by 25% in May. How many cars will the dealership need to sell to reach their goal?
Answer:
The car dealer must sell 105 cars in May to reach his goal.
Step-by-step explanation:
Given that the car dealer sold 84 cars in April, and wants to increase his May sales by 25%, to determine the number of cars he must sell to reach his goal it is necessary to perform the following calculation:
84 + (84 x 0.25) = X
84 + 21 = X
105 = X
Therefore, the car dealer must sell 105 cars in May to reach his goal.
PLEASE HELP IT IS 3:30 AM
FIND THE EQUATION OF THE LINE
USE EXACT NUMBERS
y= ( )x + ( )
Answer:
The answer is y = -1/3x + 5 !
Step-by-step explanation:
If you observe the line, the y-intercept is 5, from the point in the graph (0,5). From that point, we can see that the rise over run is -1/3. Thus, y = -1/3x + 5.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided
Harry rides his bike 25 miles Karen rides her bike 25 miles Who rides farther?
you wrote ehte question wrong
In solving the problem 7(2x - 4) + 7 = 0 what order are the steps?
A. Distributive property, inverse, simplify
B. Inverse, combine like terms, inverse
C. Distributive property, combine like terms, inverse, inverse, simplify
D. Combine like terms, inverse, distributive property, simplify
12. F(x) = 4x squared
Answer:
y-intercept: [tex]y=0[/tex]
axis of symmetry: [tex]x=0[/tex]
vertex: [tex](0,0)[/tex]
Step-by-step explanation:
To find the y-intercept, set x = 0 and solve for y.
I am assuming f(x) = y
[tex]y=4x^2[/tex]
[tex]y=4(0)^2[/tex]
[tex]y=0[/tex]
The y-intercept of the equation is y = 0.
Now, for the axis of symmetry, you need the equation [tex]x=\frac{-b}{2a}[/tex]
In an equation.. [tex]y=ax^2+bx+c[/tex]
In this case, there is only an a, so plug in the values into the equation.
[tex]x=\frac{0}{2(4)}[/tex]
[tex]x=0[/tex]
The axis of symmetry is x = 0.
To find the vertex, change the format of the equation from standard form to vertex form.
Vertex form: [tex]y=a(x-h)^2+k[/tex]
The vertex is [tex](h,k)[/tex]
[tex]y=4x^2 = 4(x+0)^2+0[/tex]
[tex](h,k)=(0,0)[/tex]
The vertex in this case is (0,0).
Graphing makes things a lot easier. If you can graph it, all you have to do is look at the graph and the answers are all there!
Hope this helped you!
The weight, in pounds, of a newborn baby tt months after birth can be modeled by W.W. The table below has select values showing the linear relationship between tt and W.W. Determine the weight of the baby at birth.
Answer:
12 pounds
Step-by-step explanation:
Please give me thanks
When you give me thanks
Have a good day :)
The weight of the baby at birth is 8 pounds.
Given,
The weight, in pounds, of a newborn baby tt months after birth, can be modeled by W.
The table below has select values showing the linear relationship between
t and W.
We need to determine the weight of the baby at birth.
The table is given as:
t w1 10
4.5 17
9 26
How do we read the tables given?The table has two columns and it always has a relationship between them depending on the question.
Example:
Miles. Hours
2. 3
6. 9
8. 12
Here we see that every 1-5 hours there's a mile increase.
We have,
W = weight of the baby
t = number of months.
From the table:
The baby weight-
At 1 month = 10
At 4.5 months = 17
At 9 months = 26
We see that,
In,
(4.5 - 1) = 3.5 months there is an increase of (17 - 10) = 7 pounds.
So we can write it as:
3.5 months = 7 pounds
1 month = 7/3.5
1 month = 70/35 = 10/5 = 2 pounds
This means in after every month there is an increase of 2 pounds.
We have,
1In the first month, the weight of the baby is 10 pounds.
And every month there is an increase of 2 pounds.
So,
The weight of the baby at birth is:
= 10 - 2
= 8 pounds
Thus the weight of the baby at birth is 8 pounds.
Learn more about finding relationships in a given table here:
https://brainly.com/question/28350476
#SPJ2
Can anyone pls help? Will give brainliest if you're correct.
Answer:
2 ninths, or 2/9
Step-by-step explanation:
Multiply -2/3 by -1/3 to get the answer
Answer: f=2/9
you have to multiply 2/-3 and -3/2f
Trust me it will work
Please need help thank
Answer:
10
Step-by-step explanation:
Answer:
I think it’s 10:)
Step-by-step explanation:
The LMC of 6 and 7 is
Answer:
6, 12, 18, 24, 30, 36. 42, 46, 52, 58, 64,
7, 14, 21, 29, 36
Your answer is 36.
Step-by-step explanation:
LCM means the multiple which the two numbers share with the least value. So, I just found the multiples of each number until I found the one which was common. If you would like me to explain this in more depth, tell me! I'd be glad to help.
A surveyor observes that point A is located on level ground 25 feet from a flag pole. The base of the flagpole represents point B. Approximate the height of the flagpole to the nearest tenth of a foot when the angle between the ground and the top of the flagpole is:______.(a) 30° (b) 38° (c) 45°
Answer:
Step-by-step explanation:
The set up will give a right angled triangle
Given
Distance of point A from the flagpole = 25feet
If angle of elevation is 30°
Required
Height of flagpole (opposite)
Using TOA
tan theta = opp/adj
tan30° = opp/25
opp = 25tan30°
opp = 14.4feet
Hence the height of flagpole when the angle of elevation is 30° is 14.4feet
If angle of elevation is 38°
Required
Height of flagpole (opposite)
Using TOA
tan theta = opp/adj
tan38° = opp/25
opp = 25tan38°
opp = 19.53feet
Hence the height of flagpole when the angle of elevation is 38° is 19.5feet
If angle of elevation is 45°
Required
Height of flagpole (opposite)
Using TOA
tan theta = opp/adj
tan45° = opp/25
opp = 25tan45°
opp = 25feet
Hence the height of flagpole when the angle of elevation is 45° is 25feet
-2(y-1)=9 what is the answer
-2(y-1) = 9
Use distributive property:
-2y + 2 = 9
Subtract 2 from both sides
-2y = 7
Divide both sides by-2:
Y = -7/2
Expression A: 3(x + 2) Expression B: 3x + 6....... Which statement does not show that these expressions are equivalent? O A. Substituting any value of x makes the expressions equivalent B. The expressions name the same number regardless of the value of x. O C. Both expressions involve addition. O D. 3(x+2) can be rewritten as 3x + 6 using the distributive property. SUBMIT E PREVIOUS
Answer:
D. 3(x+2) can be rewritten as 3x + 6 using the distributive property
Step-by-step explanation:
Given
[tex]3(x + 2) = 3x + 6[/tex]
Required
Explain
From the list of given options, option D answers the question.
This is because, the expression above involves distributive property and only option D correctly states that.
A distributive property is:
[tex]a*(b + c) = a*b + a * c[/tex]
In this case:
[tex]a = 3[/tex] [tex]b = x[/tex] and [tex]c = 2[/tex]
So:
[tex]a*(b + c) = a*b + a * c[/tex]
Substitute values for a, b and c
[tex]3*(x + 2) = 3 * x + 3 * 2[/tex]
[tex]3(x + 2) = 3x + 6[/tex]
Answer:
C. Both expressions involve addition.
Step-by-step explanation:
I tried it, and it was correct
Select " Yes" or " No" to indicate whether the ordered pair is on the graph of the function f(x)= -9^x+1. ( Make sure you look at the picture. Need help Asap Please
Answer:
yes
no
no
Step-by-step explanation:
please answer i need help
Answer:
first answer is 9.84
Step-by-step explanation:
9.84 is the square root of 97, rounded to the nearest hundredth.
the legs measure 9 x 9 and 4 x 4 = 81 and 16.
81 + 16 = 97, so your answer is the square root of 27, which rounded to the nearest hundredth, equals 9.84. Rounding towards the nearest whole, 10 would be your best bet.
hope this helps!!
Johnny took a test. All the questions have equal value. He answered 38 of the questions correctly. This was 95% of the questions. How many questions were on the test?
Answer:
40 questions
Step-by-step explanation:
38=.95x where x is the total tests
38/.95 = x
40 = x