Final answer:
To solve the system of equations, use the method of elimination. Multiply the second equation by 4 to make the coefficients of 'x' in both equations opposite. Add the two equations together to eliminate 'x' and solve for 'y'. Substitute the value of 'y' into one of the original equations and solve for 'x'. The solution to the system of equations is x = -5/2 and y = -1.
Explanation:
To solve the system of equations:
4x + 9y = -19
-4x - 7y = 13
We can use the method of elimination. Multiply the second equation by 4 to make the coefficients of 'x' in both equations opposite:
16x + 28y = -52
Now, add the two equations together to eliminate 'x':
37y = -39
Divide both sides by 37:
y = -1
Substitute the value of 'y' into one of the original equations:
4x + 9(-1) = -19
4x - 9 = -19
Add 9 to both sides:
4x = -10
Divide both sides by 4:
x = -10/4 = -5/2
Therefore, the solution to the system of equations is x = -5/2 and y = -1.
What should you do to get the two terms with variables on the left side of the equation?
Answer:
Either divide or multiply
Answer: you would subtract 3/4 from both sides of the equation
Step-by-step explanation:
Ava has a bag with 3 red, 2 blue, and 11 green beads.
She selects a bead at random. What is the probability that Ava does not select a green bead?
Answer:
5/16 or 31.25%
Step-by-step explanation:
There are 16 beads altogether 11 are green and the rest aren't so there for is 5 out of 16 chance green won't be selected
Answer:
5/16
Step-by-step explanation:
find missing angle..x=??
Answer:
X=147°
Step-by-step explanation:
Angle on a straight line is 180
And x,33 is given on a straight line
It will be solved as
X+33=180
Substrate 33 from both sides
X=147°
Therefore x=147°
Find the surface area of the rectangular prism with l=15m, w=16m and h=4. im confused pls help me
Answer:
surface area= 728
please give me brainliest!! :)
Step-by-step explanation:
A = 2 ( w*l + h*l + h*w )
2 · ( 16 · 15 + 4 · 15 + 4 · 16 ) = 728
If angle 2 measures 155 degrees in the image below, what is the measurement of angle 1?
x
Angle 1 and angle 2 are supplementary angle. Then the measure of the angle 1 is 25°.
What is a Supplementary angle?Two angles are said to be supplementary angles if their sum is 180 degrees.
If angle 2 measures 155 degrees in the image below.
Angle 1 and angle 2 are supplementary angle.
∠1 + ∠2 = 180°
∠1 + 155° = 180°
∠1 = 25°
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Calculate the area of a rectangle with a base of 15 inches and an altitude of 7 inches
2.457 x 10^5 in standard form.
Answer:
245700
Step-by-step explanation:
2.457×10^5
Which means that the decimal point will be moved to the right side 5 times
Which means that
2.457×10^5
=245700
Or
It can also be written as 2.457×100000
It will give
245700
Answer:
245700
Step-by-step explanation:
2.457 × 10⁵
2.457 × 100000
245700
What is the mode of the following set of numbers? 15, 20, 18, 20, 15, 20 A 20 B 18 C 5 D 19 .
Answer:
A
Step-by-step explanation:
Mode is the one that appears the most. The number that is there the most is 20 that makes it the mode.
The correct answer is A. 20.
To find the mode of a set of numbers, one must identify the number that appears most frequently in the list. In the given set of numbers: 15, 20, 18, 20, 15, 20, we can see that the number 20 appears three times, which is more frequent than any other number in the set. The number 15 appears twice, while the numbers 18 and 20 each appear once. Since 20 is the number with the highest frequency, it is the mode of the set.
Therefore, the mode of the given set of numbers is 20.
Can you answer part B? I will mark you as brainliest
Answer:
The fraction is 2/10
Step-by-step explanation:
Barney is an ecologist who studies the change in the tiger population of Siberia over time.
The relationship between the elapsed time t, in decades, since Barney started studying the population, and the
number of tigers, N(t), is modeled by the following function:
N() = 710 (35)
Complete the following sentence about the rate of change in the tiger population. Round your answer to two
decimal places.
The tiger population loses
3/5
of its size every____ decades
The tiger population loses approximately 3/5 of its size every 97.14 decades.
Explanation:The rate of change in the tiger population can be determined by examining the equation N(t) = 710(35). The coefficient of 35 represents the exponential growth factor of the population, which can be interpreted as the population multiplying by 35 over each time period.
To determine the rate of change in terms of the percentage size lost, we can calculate the fractional change by subtracting 1 from the growth factor. In this case, 35 minus 1 equals 34. The percentage size lost can then be calculated by dividing the fractional change by the growth factor and multiplying by 100, giving us (34/35) x 100 = 97.14%.
Therefore, the tiger population loses approximately 3/5 of its size every 97.14 decades.
Marty and Juan took turns driving a cargo truck. The ratio of the miles Marty drove to the miles Juan drove is 6 to 7. Juan drove 150 more miles than Marty. How many miles did Marty and Juan drive in all?
The total miles are 1950 miles. Marty drove 900 miles and Juan drove 1050 miles, if the ratio of the miles Marty drove to the miles Juan drove is 6 to 7 and Juan drove 150 more miles than Marty.
Step-by-step explanation:
The given is,
Ratio of the miles Marty drove to the miles Juan drove is 6 to 7
Juan drove 150 more miles than Marty
Step:1
Calculate the difference in the ratio of the miles Marty drove to the miles Juan drove,
X = 7-6 = 1
Calculate the difference in the miles of Marty drove to the miles of Juan drove,
X = 150 ( Juan drove 150 more miles than Marty)
Equate the Difference between ratio and miles,
From the above values,
X = 150 miles
Step:2
From the ratio of Marty : Juan = 6 : 7
Distance drove by Marty,
= 6X = ( 6 × 150 ) = 900
Distance drove by Marty = 900 miles
Distance drove by Juan,
= 7X = ( 7 × 150 ) = 1050
Distance drove by Juan = 1050 miles
Step:3
Check for solution,
Difference in the miles of Marty drove to the miles of Juan drove
150 = 1050 - 900
150 = 150
Result:
The total miles are is 1950 miles. Marty drove 900 miles and Juan drove 1050 miles, if the ratio of the miles Marty drove to the miles Juan drove is 6 to 7. Juan drove 150 more miles than Marty
Find the area of a semicircle with a diameter of 20inches. Use 22/7 as an approximation for pi
Answer:
2200/7 ≈ 314.2857143
Step-by-step explanation:
The formula for the area of a circle is πr²
Since the diameter is 20, the radius is going to be 10 inches
Now just plug that in and get π(10²) which equals 100π
Now multiply 100 with (22/7) and that gives you 2200/7
Answer:
157 1/7 inches
Step-by-step explanation:
I used the formula, A = pi x r squared then divided by 2, since a semicircle is half of a normal circle.
(22/7 x 10 squared divide by 2)
The two sets of data below show the number of bubbles blown in fifty trials using two different bubble solutions.
A box plot titled Bubbles Created with Solution 1. The number line goes from 80 to 116. The whiskers range from 80 to 114, and the box ranges from 100 to 112. A line divides the box at 110.
Bubbles Created with Solution 1
A box plot titled Bubbles Created with Solution 2. The number line goes from 72 to 110. The whiskers range from 72 to 110, and the box ranges from 74 to 80. A line divides the box at 76.
Bubbles Created with Solution 2
Which best describes the measure of center that can be used to most accurately compare the two data sets?
the mean, because it increases the influence of outliers
the mean, because it decreases the influence of outliers
the median, because it increases the influence of outliers
the median, because it decreases the influence of outliers
Answer:
D. the median, because it decreases the influence of outliers
Step-by-step explanation:
Answer:
d :)
Step-by-step explanation:
what does 2(5*-3) =
Answer:
[tex]-30[/tex]
Step-by-step explanation:
Step 1: Multiply inside the parenthesis
[tex]2(5 * -3)[/tex]
[tex]2(-15)[/tex]
Step 2: Multiply
[tex]2(-15)[/tex]
[tex]2 * -15[/tex]
[tex]-30[/tex]
Answer: [tex]-30[/tex]
Can you solve for x please.
Answer:
3/4
Step-by-step explanation:
Multiply both sides by x
2x/3 = 1/2
Multiply both sides by 3
2x = 3/2
Divide both sides by 2
x = 3/4
The dot plot shows the number of raffle tickets bought by each person.
Number of Raffle Tickets Bought
A dot plot going from 0 to 5. 0 has 4 dots, 1 has 0 dots, 2 has 4 dots, 3 has 6 dots, 4 has 3 dots, 5 has 5 dots.
Where is the peak of the dot plot?
A. 1
B. 3
C. 5
D. 6
The peak of the dot plot with the given data set is: B. 3
What is a Dot Plot?A dot plot is a graphical tool used to represent data set that do not have ranges.Each dot represents a data point.The peak of a dot plot is where you have the more frequency of a data point.Therefore, the peak of the dot plot with the given data set is: B. 3
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In a research study, one third of the volunteers received drug A, one third received drug B, and one third received a placebo. Out of all the volunteers, 15% received drug A and got better, 9% received drug B and got better, and 10% received the placebo and got better. What is the conditional probability of a volunteer getting better if they were given the placebo? please help! 100 pts
it is 10% because 10 percent got better in the experiment
If f(x) = 2x2 + bx + c, find the value of "c" that makes the vertex of the given graph the same as the vertex of f(x).
A.) 24
B.) 56
C.) 75
D.) 90
Well it was a lucky guess but the answer is 75
The value of c that makes the vertex the same is 75.
Option C is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The vertex of the function f(x) = 2x² + bx + c has an x-coordinate given by
-b/2a, where a = 2 is the coefficient of the x² term.
The x-coordinate of the vertex is x = -b/4.
To find the y-coordinate of the vertex, we can substitute this value of x into the function f(x) and simplify:
f(-b/4)
= 2(-b/4)² + b(-b/4) + c
= b²/8 - b²/4 + c
= -b²/8 + c
We want the vertex of the new function to be the same as the vertex of f(x), so the x-coordinate of the vertex should still be -b/4.
This means that the new function must have the form
g(x) = 2x² + bx + d, where d is a constant.
We want the y-coordinate of the vertex of g(x) to be the same as the y-coordinate of the vertex of f(x), which is -b^2/8 + c.
Therefore, we must have:
g(-b/4) = -b²/8 + c
Substituting the form of g(x) and simplifying:
2(-b/4)² + b(-b/4) + d = -b²/8 + c
Simplifying further:
-b²/8 + d = -b²/8 + c
d = c
This shows that the value of d (the constant term in the new function g(x)) must be the same as the value of c (the constant term in the original function f(x)) in order for the vertex of the new function to be the same as the vertex of f(x).
Therefore,
The value of c is 75.
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Option 2: Senator Kennedy's Initiative proposed extending the school day by 30%-a radical increase. If each 6-hour
school day were extended according to Senator Kennedy's plan, each day would be how many hours?
Answer: ok
Step-by-step explanation:
Use the table to work out the values of a, b, c, and d.
y= 32 +1
-2
–5
-1
ъ
1
с
d
2
a=
b =
c=
d =
1
The question involves using the quadratic formula where a=1, b=0.0211, and c=-0.0211 to find the two possible values for d.
Explanation:To solve for the values of a, b, c, and d using the given information, we can identify the quadratic formula, which is expressed as:
x = (-b ± √(b² - 4ac)) / (2a)
Given that a = 1, b = 0.0211, and c = -0.0211, we can substitute these into the formula to find the value for x, which could represent d in this case:
x = -0.0211 ± √(0.0211² - 4(1)(-0.0211)) / 2(1)
This simplifies to:
x = -0.0211 ± √(0.00044421 + 0.0844) / 2
From this, we can calculate the two possible values for d.
Casandra finds a treasure chest packed with metallic coins.The chest has a volume of 0.25 m3. The coins have a combined mass of 4825 kg. Hoping to find gold, she calculates the density to determine the metal of the coins. What kind of the coins made of
Missing information
Options
What kind of metal are the coins made of?
Bronze (8700 kg per cubic meter)
Silver (10500 kg per cubic meter)
Lead (11300 kg per cubic meter)
Gold (19300 kg per cubic meter)
Answer:
Gold
Step-by-step explanation:
Density is mass per unit volume of an object hence calculated as
d=m/v
Where m is the mass of an object, v is the volume and d is rhe density.
Substituting 4825 Kg for m and 0.25 m3 for v then
D=4825/0.25=19300 kg/m3
From the options given, this density is equivalent to that of gold.
What is the ratio of the volume of Sphere A to the volume of Sphere B
Answer:1
Step-by-step explanation:
To find the ratio of the volume of sphere A to B
We get
A:B
V=4/3πr^3:4/3πr^3
4/3πr^3×3/4πr^3
Ratio of A to B
=1
Answer: 27
Step-by-step explanation:
The coned shaped room has a height of 15 ft and a radius of 72. Find the volume
Answer:
81430.08
Step-by-step explanation:
Final answer:
The volume of a cone with a height of 15 ft and a radius of 72 ft is found using the formula V = (1/3)πr²h, and the calculated volume is approximately 81457.9 cubic feet.
Explanation:
The question is asking to find the volume of a cone, which has a height of 15 ft and a radius of 72 ft. The formula to calculate the volume of a cone is V = (1/3)πr²h, where 'V' represents the volume, 'r' is the radius of the base, and 'h' is the height of the cone.
To solve for the volume:
V = (1/3)π(72 ft)²(15 ft)
V = (1/3)π(5184 ft²)(15 ft)
V = (1/3)π(77760 ft³)
V = 25920π ft³
Therefore, the volume of the cone is approximately 25920π cubic feet, or when π is approximated as 3.14159, the volume is about 81457.9 cubic feet.
Which expression is equivalent to log Subscript 12 Baseline (StartFraction one-half Over 8 w EndFraction?
log Subscript 12 Baseline 8 minus log Subscript 12 Baseline one-half + log Subscript 12 Baseline w
log Subscript 12 Baseline one-half minus (log Subscript 12 Baseline 8 + log Subscript 12 Baseline w)
log Subscript 12 Baseline one-half minus log Subscript 12 Baseline 8 + log Subscript 12 Baseline w
log Subscript 12 Baseline one-half divided by log Subscript 12 Baseline 8 + log Subscript 12 Baseline w
correct option is B) log Subscript 12 Baseline one-half minus (log Subscript 12 Baseline 8 + log Subscript 12 Baseline w)
Step-by-step explanation:
Here we need to simplify a logarithmic expression and find which expression is equivalent to it . Let's find out:
We have ,
log Subscript 12 Baseline (StartFraction one-half Over 8 w EndFraction) or ,
⇒ [tex]Log_1_2(\frac{\frac{1}{2} }{8w} )[/tex]
We know that : [tex]Log(\frac{a}{b} )=Log(a)-Log(b)[/tex]
⇒ [tex]Log_1_2(\frac{1}{2}) - Log_1_2(8w)[/tex]
We know that : [tex]Log(ab) = Log(a)+Log(b)[/tex]
⇒ [tex]Log_1_2(\frac{1}{2}) -( Log_1_2(8)+Log_1_2(w))[/tex]
Therefore , correct option is B) log Subscript 12 Baseline one-half minus (log Subscript 12 Baseline 8 + log Subscript 12 Baseline w)
The expression that could be considered equivalent to logSubscript 12 Baseline (StartFraction one-half Over 8 w EndFraction would be:
B). log Subscript 12 Baseline one-half minus (log Subscript 12 Baseline 8 + log Subscript 12 Baseline w) or [tex]Log_{12}(\frac{1}{2}) - (Log_{12}(8) + Log_{12}(w))[/tex]
Given that,
[tex]Log_{12} (\frac{1/2}{8w} )[/tex]
Using the expression,
[tex]Log({\frac{a}{b}) = Log (a) - Log(b)[/tex]
We get,
[tex]Log_{12} (\frac{1/2}{8w} )[/tex]
[tex]= Log_{12}(\frac{1}{2}) - Log_{12} (8w)[/tex]
Using expression [tex]Log(ab) = Log(a) + Log(b)[/tex]
∵ [tex]Log_{12}(\frac{1}{2}) - (Log_{12}(8) + Log_{12}(w))[/tex]
Thus, option B is the correct answer.
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can 60/5 be simplified
To simplify the fraction, we can divide.
60 / 5 = 12
Best of Luck!
Answer: yes
Step-by-step explanation: 60 divided by 5 is 7
is 26/7 a rational number
Answer:
Yes.
Step-by-step explanation:
26/7 is a rational number since it can be represented in the form p/q where q is not equal to 0.
Answer:
Step-by-step explanation:
No it is not, 26/7 is 3.714285714285714... which is going on. This makes it irrational. If it had an end or if it were repeating, it'd be a rational number.
what is missing blank
Answer:
-1
Step-by-step explanation:
the y s are decreasing by 3 while the x s are increasing by 2.
brainliest?
Answer:
-1
Step-by-step explanation:
if you look at the pattern, the x's pattern is minus 2, and the y's pattern is minus 3. to find the answer you just continue the pattern.
Hope this helps!
The probability of a hurricane being within 100 miles of a location in two days is 40%.
likely or unlikely
Answer: Unlikely
Step-by-step explanation:
We know that,
When the probability of an event is
100% , then it is known as certain.0% , then it is known as uncertain.<50% then , it is unlikely to happen.>50% then it is likely to happen.Given : The probability of a hurricane being within 100 miles of a location in two days is 40%.
Event : " Hurricane being within 100 miles of a location in two days "
Clearly, 40% < 50%.
Therefore , it unlikely to happen a hurricane being within 100 miles of a location in two days.
Yea Answer: unlikely
Step-by-step explanation:
Use the number line to show 2\3 divided by 1\12.
What is the quotient?
Step-by-step explanation:
[tex] \frac{2}{3} \div \frac{1}{12} \\ \\ = \frac{2}{3} \times \frac{12}{1} \\ \\ = \frac{2}{1} \times \frac{4}{1} \\ \\ = 8[/tex]
The quotient of the division is 8. It is shown on a number line.
What is a number line?A number line is a representation of real numbers in the form of a graded straight line.
The given expression is 2/3 ÷ 1/12.
Simplify the expression as follows:
2/3 ÷ 1/12
=2/3 × 12
= 2 ×4
= 8
Hence, the quotient of the division is 8. It is shown on a number line.
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Find the median for the frequency table above
Answer:3
Step-by-step explanation:
the median is always the middle number
hope this helps.