Answer:
z+ 38 = 90
z = 90 - 38
z= 52 degree
1. Raphael bought eight pens and nine erasers from a shop and paid GHC 33. His friend, Yao bought five similar pens and six erasers from the same shop and paid GHC 21. Calculate the price of the pen and the erasers respectively.
The price of the pen and the erasers Raphael and his friend bought are GHC 3 and GHC 1 respectively.
How to solve equation simultaneouslylet
x = price of pen
y = price of erasers
The equation
8x + 9y = 33
5x + 6y = 21
multiply (1) by 6 and (2) by 948x + 54y = 198
45x + 54y = 189
subtract to eliminate y48x - 45x = 198 - 189
3x = 9
x = 9/3
x = 3
substitute into (1)
8x + 9y = 33
8(3) + 9y = 33
24 + 9y = 33
9y = 33 - 24
9y = 9
y = 9/9
y = 1
How to solve simultaneous equation:
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The graph of y=f(x) is shown below. find all the values of x where f(x)=4
f(x) = 4 means "y=4".
If you draw in y=4 as a line on the graph, you're looking for points where the f(x) graph hits y=4. (see picture below)
This happens at one point and the x-value of that point is -2.
-2 is the only x-value where this happens.
If 2x-y=9 and 3x+4y=19, then y=
Answer:
x = 5
y = 1
Step-by-step explanation:
2x - y = 9
3x + 4y = 19
We multiply the first equation by 4
8x - 4y = 36
3x + 4y = 19
11x = 55
x = 5
Now we put 5 in for x and solve for y
2(5) - y = 9
10 - y = 9
-y = -1
y = 1
Let's Check the answer
2(5) - 1 = 9
10 - 1 = 9
9 = 9
So, x = 5 and y = 1 is the correct answer.
The Sparrowtown Times had 8,910 subscribers last year. This year, after the paper was bought out, it had 40% fewer. How many subscribers were there this year?
Other than a desktop computer, laptop, tablet, or Smartphone, discuss two other ways computer technologies are used in our daily lives
Answer:
Smart TV, Smart Navigation in cars
Step-by-step explanation:
Smart TV :
Today Television has evolved to be integrated with computer technologyIt comes integrated with Android software.It can be now connected with internet to watch any type of content by connecting TV with internetSmart navigation in cars:
Computer technologies are used in car alsoCar system is embedded with computer technologies which not only helps in finding location and traffic of placeit also helps in parking of car as well (backward moving)I WILL GIVE BRAINERLEST ABD LIKE AND 5 STARS IF YOU ANSWER
How many people n would be seated in
each section if there were 27 total
people in the gym?
Answer:
IT SAYS IT 27 PEOPLE WOULD BE SEATED
Step-by-step explanation:
What is the rule for the equation below?
Answer:
b=a-3
Step-by-step explanation:
seventeen minus three gives 14, 14 minus 3 gives 11 and so on.
GUYS IS THIS CORRECT? CLASS 6 MATHS
Answer:
yes these all are correct
Find the term independent of x in the expansion of (-x + 3/x)^4, if x is not equal to zero
To find the term independent of x in the expansion of (-x + 3/x)^4, we can use the binomial expansion formula:
(a + b)^n = a^n + na^(n-1)b + (n(n-1))/2a^(n-2)*b^2 + ... + b^n
In this case, we have a = -x and b = 3/x, so we can substitute these values into the formula to get:
(-x + 3/x)^4 = (-x)^4 + 4*(-x)^3*(3/x) + 6*(-x)^2*(3/x)^2 + 4*(-x)*(3/x)^3 + (3/x)^4
The term independent of x is the constant term in this expansion, which is (3/x)^4. This term does not contain any x variables, so it is independent of x.
Therefore, the term independent of x in the expansion of (-x + 3/x)^4 is (3/x)^4. Note that this term is only defined if x is not equal to zero, because dividing by zero is undefined.
what do you mean by binomial expression?
A binomial expression is a mathematical expression that is composed of two terms, typically separated by a plus or minus sign. The two terms are called the binomial terms.
For example, the expression "x + 3" is a binomial expression, with the terms "x" and "3" being the binomial terms. The expression "2x^2 - 4y" is also a binomial expression, with the terms "2x^2" and "-4y" being the binomial terms.
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Question 1 of 5 Which number line shows the solutions to x < 5? OA. -3 -6 -4 -2 0 2 4 6 8 OB. O C. -8 -6 -4 -2 0 2 4 6 8 -8-6-4-2 0 2 4 6 8 OD. 864 2 0 2 4 6 8
The number line that shows the solutions of x < 5
B. O What is number line?A number line is a visual representation of the real numbers, ordered from left to right, with zero in the middle. It is typically a straight line that extends infinitely in both directions, with evenly spaced markings that represent specific points along the line.
The solution of x < 5 should consist of number less than 5
The inequality used is less than and hence should have values saying less than
Other options has numbers more than 5 such as 6 except option B
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5800 dollars is placed in an account with an annual interest rate of 9%. To the nearest tenth of a year, how long will it take for the account value to reach 17600 dollars?
a city has a population of 32000 people supposed each year the population Grows by 4% what will the population be after 12 years
Answer:
Step-by-step explanation:
32,000 × 1.04¹² = 51,233
\(\huge\colorbox{pink}{An§wer}\)
32,000 × 1.04¹² = 51,233Step-by-step explanation:
hope it helps ( ꈍᴗꈍ)Which can be represented using the product (50) × (-5) ?
O saving $5 each day for 50 days
O a submarine rising by 50 feet each hour for 5 hours
O earning $50 each month for 5 months
O an airplane losing altitude by 5 feet each second for 50 seconds
Answer: D
Step-by-step explanation:
Select the correct answer from each drop-down menu.Consider and .Triangle is triangle . Since triangle uses to map onto triangle , the triangles .
ANSWER:
Triangle HJI is a translation and reflection of Triangle EFG. Since triangle EFG uses only rigid transformations to map onto triangle HJI, the triangles are congruent
STEP-BY-STEP EXPLANATION:
The size of the sides is the same in both triangles, which means that there is no dilation.
The triangle moved to the right and was rotated, which means that there is a translation and a reflection, therefore, they only used rigid transformations, therefore, the angles are congruent.
When 1370 subjects were asked, "On how many days in the past 7 days have you felt lonely?" the mean was 1.5 and the standard deviation was 2.16. The margin of error for a 95% confidence interval for the population mean is 0.12. Construct that confidence interval, and interpret it. The confidence interval goes from nothing to nothing. (Round to two decimal places as needed.)
Answer:
Confidence Interval = (1.41, 1.59)
Step-by-step explanation:
To construct a confidence interval for the population mean, we can use the following formula:
Confidence Interval = sample mean ± (margin of error * standard error)
where the standard error is equal to the standard deviation divided by the square root of the sample size.
Given the information provided, we can calculate the standard error as:
standard error = 2.16 / sqrt(1370) = 0.058
Then, we can calculate the margin of error as 0.12.
Substituting these values into the formula, we get:
Confidence Interval = 1.5 ± (0.12 * 0.058)
Confidence Interval = (1.41, 1.59)
Therefore, we can interpret the 95% confidence interval as follows: we are 95% confident that the true population mean of the number of days that people feel lonely in the past 7 days is between 1.41 and 1.59. This means that if we were to take many samples of 1370 subjects and compute the confidence intervals for each sample using the same method, we would expect about 95% of the intervals to contain the true population mean.
what is x if 0 divded by x is 0
Answer:
its just 0, you cant really have an equation if it's just 0's, like
0+0= 0
Answer:
Undefined
Step-by-step explanation:
Share £65 in the ratio 3:2
Answer:
£39 : £26
Step-by-step explanation:
3 + 2 = 5
65 ÷ 5 = 13
13× 3 = 39
13 × 2 = 26
Yana is in the school computer lab writing a paper for history class. The graph represents the number of words Yana has written after a number of minutes
Yana opened her saved paper, wrote, took a break, deleted some of the words, and then began writing again. Then the correct option is A.
What is a function?
A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
Yana is in the school computer lab writing a paper for history class. The graph represents the number of words Yana has written after a number of minutes.
The graph is given below.
From the graph, Yana opened her saved paper, wrote, took a break, deleted some of the words, and then began writing again.
Then the correct option is A.
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Giving brainliest for CORRECT awnser.
Answer:
64
Step-by-step explanation:
x^2 +16x+c
Take the coefficient of x
16
Divide by 2
16/2 =8
Square it
8^2 = 64
This is c
Answer:
c = 64
Step-by-step explanation:
The value for c is A. 64. That comes from the process of completing the square where you take half the linear term, square it, and add it in. Our linear term is 16. Half of 16 is 8, and 8 squared is 64.
A graph titled Runner's Speed has distance (miles) on the x-axis and Time (minutes) on the y-axis. A line goes through points (1, 10) and (2, 20). Use the graph to find the slope. slope = StartFraction rise Over run EndFraction What is the runner’s speed? minutes per mile
Answer:
10 minutes per hour
Step-by-step explanation:
i just did it
Answer:
10 minutes per mile :D
Step-by-step explanation:
Evaluate. 48-2^4x2.................
Answer:
16
Step-by-step explanation:
PEMDAS
Answer:
48-\(2^{4}\)×2= 16
Step-by-step explanation:
hope it helps! good luck :)
The machinery in a cereal plant fills 350 g boxes of cereal. The specifications for the machinery permit for a certain amount of fill tolerance. It is found that the weights of filled cereal boxes are normally distributed with a mean of 350 g and a standard deviation of 4 g. What is the probability that a box of cereal is under filled by 5 g or more?
There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.
First, we can standardize the problem by using the z-score formula:
z = (x - μ) / σ
Where:
x = the weight value we want to find the probability for (345 g in this case)
μ = the mean weight (350 g)
σ = the standard deviation (4 g)
Substituting the values into the formula:
z = (345 - 350) / 4 = -1.25
Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.
The probability of obtaining a z-score less than -1.25 is approximately 0.1056.
However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.
The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.
Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
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What is the solution?
Answer:
1)x=13-15 => x=-2
2)-6x=-30 => x=5
3)x/4=18 => x=72
4)x-2=-11 => x=9
Step-by-step explanation:
what is the surface area of a cereal box ?
length: 3.10
width: 7.77
height: 13.50
its a frosted flakes cereal box and im not sure what the answer is PLS HELP!!!!
Answer:
SA= 341.664
Step-by-step explanation:
1. this is the equation to find the surface area of a cuboid (flakes box): SA=2lw+2lh+2hwl= length , w= width , h= heightl= 3.10 , w= 7.77 , h= 13.502. replace letters by numbers:
SA= 2(3.10)(7.77) + 2(3.10)(13.50) + 2(13.50)(7.77)
3. simplify:
SA= 48.174 + 83.7 + 209.79
4. add:
SA= 341.664
What is the slope of the line with the equation of y = 3x that passes through the point (2, 4)?
A)1
B)2
C)3
D)4
Answer:
The slope is 3
Step-by-step explanation:
hope this helps
There are 10 pill bottles. 9 bottles are full of non-poisonous pills and there is one bottle full of poisonous pills. The non-poisonous pills weight 1 ounce each and the poisonous pills weigh 1.1 ounces each. There is a weighing scale that you can use only 1 time. How do you figure which bottle has the poisonous pills?
Answer: open all the bottles count the pills or ask in each bottle the 1 ounce will have 1 less then all of the 1.1 ounce
Step-by-step explanation:
Raul is pouring concrete
Answer:
wow-
Step-by-step explanation:
Bet he's doing a good job ;)
which of the following are solutions to the equation sin x cos x= -1/4
Answer:
x=-pie/12
sinxcosx=-1/4
multiply both sides by 2
sin2x = 2sinxcosx we know
now equation will be
sin2x = -1/2
2x=-pie/6
x=-pie/12
Please help I’m really lost!
Answer:
The answer is C
Answer:
the answer is c.......
Find the equation (in terms of x ) of the line through the points (-2,-5) (3,0)
First, find the slope of the line using the given two points (-2,5) and (3,0)
\(\begin{gathered} \text{Let} \\ (x_1,y_1)=(-2,5) \\ (x_2,y_2)=(3,0) \\ \\ m = \dfrac{y_2 - y_1}{x_2 - x_1} \\ m=\dfrac{0-5}{3-(-2)} \\ m=\dfrac{-5}{3+2} \\ m=\frac{-5}{5} \\ m=-1 \end{gathered}\)Now that we have the slope, solve for the equation using the point-slope form, in this instance we will use (-2,5)
\(\begin{gathered} y-y_1=m\left(x-x_1\right) \\ y-5=-1\lparen x-(-2)) \\ y-5=-x-2 \\ x=-y-2+5 \\ x=-y+3 \end{gathered}\)The equation therefore (in terms of x) is x = -y + 3.