Answer:
Question 1
9|x/4| -10=8 Answer- x= (8,-8)
Question 2
4+|3x+3|=28 Answer- x=(7,-9)
Question 3
4|x-9|+7=67 Answer- x=(24,-6)
Step-by-step explanation:
How many pounds of a 15% copper alloy must be mixed with 700lb of a 30% copper alloy to maybe a 25.5% copper alloy
Answer:
[tex]300\; \rm lb[/tex].
Step-by-step explanation:
Let [tex]x[/tex] represent the mass (in pounds) of that [tex]15\%[/tex] copper alloy required, such that the final mixture would contain [tex]25.5\%[/tex] copper by mass.
Consider: if [tex]x[/tex] pounds of that [tex]15\%[/tex] copper alloy is mixed with [tex]700[/tex] pounds that [tex]30\%[/tex] copper alloy, what would be the mass of copper in the mixture?
Mass of copper in [tex]x[/tex] pounds of that [tex]15\%[/tex] copper alloy: [tex](0.15\, x)\; \rm lb[/tex].Mass of copper in [tex]700[/tex] pounds of that [tex]30\%[/tex] copper alloy: [tex]700 \times 0.30 = 210\; \rm lb[/tex].Therefore, the mixture would contain [tex](210 + 0.15\, x) \; \rm lb[/tex] of copper.
The mass of that mixture would be [tex](700 + x)\; \rm lb[/tex]. The mass fraction of copper in that mixture would be:
[tex]\displaystyle \frac{(210 + 0.15\, x)\; \rm lb}{(700 + x)\; \rm lb} \times 100\%[/tex].
This ratio is supposed to be equal to [tex]25.5\%[/tex]. These two pieces of equations combine to give an equation about [tex]x[/tex]:
[tex]\displaystyle \frac{(210 + 0.15\, x)\; \rm lb}{(700 + x)\; \rm lb} \times 100\% = 25.5\%[/tex].
[tex]\displaystyle \frac{210 + 0.15\, x}{700 + x} = 0.255[/tex].
Simplify and solve for [tex]x[/tex]:
[tex]210 + 0.15\, x= 0.255\, (700 + x)[/tex].
[tex](0.255 - 0.15)\, x= 210 - 0.255 \times 700[/tex].
[tex]\displaystyle x = \frac{210 - 0.255 \times 700}{0.255 - 0.15} = 300[/tex].
Therefore, [tex]300\; \rm lb[/tex] of that [tex]15\%[/tex] alloy would be required.
What is the solution set for - 4x + 10 = 5(x + 11)? HELPPPPPPP
Answer:
-5
Step-by-step explanation:
-4x +10 =5(x +11)
-4x +10 =5x +55
-4x - 5x =55 - 10
-9x =45
x=-45 :9
x=-5
Suppose tan(b) = –2, and the terminal side of b is located in quadrant II. What is cot(b)?
Answer:
- 1/2
Step-by-step explanation:
Just took the test
The value of cot (b) using trigonometry is -1/2 when tan b = -2.
Since we are given that tan(b) = -2 and the terminal side of angle b is in quadrant II, determine the value of cot(b).
In quadrant II, the sine and cosine values are positive, while the tangent and cotangent values are negative.
Given:
tan(b) = -2
The cotangent (cot) of an angle is the reciprocal of the tangent:
cot(b) = 1 / tan(b)
Now, substituting the given value of tan(b):
cot(b) = 1 / (-2)
cot(b) = -1/2
So, the value of cot(b) is -1/2.
Learn more about Trigonometry here:
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Is it geometric or arithmetic? Why
Answer: It is Geometric.
Step-by-step explanation: Because it does not have a fixed pattern that adds or subtract which arithmetic does.
Write the slope intercept form of the equation of the line through the given point with the given slope.
1) through: (3,4), slope = 2
2) through: (5,-5), slope=-6/5
Answer:
1) y = 2x-2
2) y = -6/5+1
Step-by-step explanation:
Determine whether each equation represents a proportional relationship.
y = 3 + x
Proportional Relationship
Not a Proportional Relationship
y = 1.6%
y = 3/(4x)
y = x
y = 12x
y = 2x + 1
Answer:
Proportional Relationship: I Not a Proportional Relationship:
y=1.6x I y=3/(4x)
y=x I y=2x+1
y=12x . I y=3+x
Explanation:
I took the test and that's how i got these answers.
I dont understand do I multiply four to get the area?
Answer:
yes
Step-by-step explanation:
3×5×45=365m²
Answer:
yes
Step-by-step explanation:
Which ratio is equivalent to 3:7?
A 6:7
B 3:21
C 24:56
D 15:30
Answer:
c
Step-by-step explanation:
Answer:
C. 24:56
Step-by-step explanation:
3/7 * 8/8
3*8 = 24
7*8 = 56
24/56
If you put cold water in a cup and then put the same temperature water in it would it get colder or would it stay the same temperature?
Hello! Please help with this fill in the blank, thanks!
Triangle ABC is rotated 180 degrees around point E, therefore, A maps to D, B maps to C, and C maps to B.
===================================================
Explanation:
If you were to rotate triangle ABC 180 degrees around point E, then it would line up perfectly with triangle DCB
Point A lands on point DPoint B lands on point CPoint C lands on point BNote how in the sequence ABC we have A first, B second, then C third
Then for the sequence DCB we have D first, C second, then B third
This order matters so we can pair up the points properly
A goes to D (A is first of ABC; D is first of DCB)B goes to C (B is second in ABC; C is second in DCB)C goes to B (C is third in ABC; B is third in DCB)what percenr of 60 is 15
Answer:
9%
Step-by-step explanation:15% of 60 is 9%
Answer:
25%
Step-by-step explanation:
What value of x makes the following equation true?
4 + 3x = 106
Answer:
34
Step-by-step explanation:
Step 1:
4 + 3x = 106 Equation
Step 2:
3x = 102 Subtract 4 on both sides
Step 3:
x = 102 ÷ 3 Divide
Answer:
x = 34
Hope This Helps :)
find standard deviation, o, for the binomial distribution which has the stated values of n and p. round your answer to the nearest hundredth. n =503: p=0.7
Answer:
Step-by-step explanation:
N=503
P=0.7
Sqrt(503×0.7(1-0.7))=10.28
The standard deviation, for the binomial distribution, is 10.28 which has the stated values of n and p; n =503: p=0.7.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much the data is spread out.
[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]
σ is the standard deviation
xi is each value from the data set
X is the mean of the data set
n is the number of observations in the data set.
We have:
The value of n = 503
The value of p = 0.7
For the binomial distribution:
As we know,
The formula for the standard deviation:
σ = √[p(1 - p)n]
Plug the values of p, and n, we get:
σ = √[0.7(1 - 0.7)503]
σ = √[0.7(0.3)503]
σ = √[0.21x503]
σ = √[105.63]
σ = 10.277 ≈ 10.28
Thus, the standard deviation, for the binomial distribution is 10.28 which has the stated values of n and p; n =503: p=0.7.
Learn more about the standard deviation here:
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Plzz do correctly also worth a lot of points
Answer:
I believe the Answer is B
I'm really sorry if this is wrong.
Step-by-step explanation:
I tried my best :)
. Steve drove for 812 hours at 72 miles per hour. How much distance did he travel?
Answer:
58464
Step-by-step explanation:
Multiply the two numbers
Answer:
If Steve drives for 812 hours at 72 miles per hour, he drives 58,464 miles in total.(Side Note: if you mean 8 1/2 hours then it's 612 miles
Step-by-step explanation:
To find distance dealing with time and speed, we can use the formula d=rt.
D= Distance
R= Speed
T= Time
Now we plug in our values! D=72 × 812 and we get D= 58,464 miles or if you meant 8 1/2 hours, then it's 612 miles
Hope this helps! :)
Find the linear function with the following properties.
f(−4)=6
Slope of f=−6
Given:
f(−4)=6
Slope of f=−6
To find:
The linear function with the given properties.
Solution:
We have,
f(−4)=6
It means, the value of linear function is 6 at x=-4. So, the linear function passes through the point (-4,6).
Slope of f=−6
The point slope form of a linear function is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope of the linear function.
On substituting the values, we get
[tex]y-6=(-6)(x-(-4))[/tex]
[tex]y-6=-6(x+4)[/tex]
[tex]y-6=-6x-24[/tex]
Add 6 on both sides.
[tex]y-6+6=-6x-24+6[/tex]
[tex]y=-6x-18[/tex]
The function form of this linear equation is
[tex]f(x)=-6x-18[/tex]
Therefore, the required function is [tex]f(x)=-6x-18[/tex].
7 x 10 PowerPoint 6.
Answer:
420
Step-by-step explanation:
7 x 10^6 = 7 x 60 = 420
Answer:
7000000
Step-by-step explanation:
10^6 = 1000000
1000000 x 7
A SURVEY OF 1,000 PEOPLE WAS DONE BY NEW YORK TIMES. 90% OF THE PEOPLE
DID NOT KNOW THE NAME OF THEIR REPRESENTATIVE IN CONGRESS. HOW MANY
OF THE 1,000 PEOPLE KNEW THE NAME OF THE CONGRESSMAN?
Step by step explains I need to show my work !
Answer:
100 people
Step-by-step explanation:
first we gotta find 90% of 1000 to do that we multiply 1,000×90% or 1000×0.90 (same thing)
this equals 900 so 900 people don't know the name of their rep in congress subtract 1000-900 thus 100 ppl know there rep in congress
Answer:
100 people did know they're representative
Step-by-step explanation:
You just have to scale up the problem for example 10% of 100 is 10 but 10% of 1,000 is 100(If you need me to be more clear please let me know)
Jennifer and Jacob took 3h5min to decorate the Christmas tree.they took 1h55min longer to decorate the Christmas tree than to wrap the present.what is the total time they took to decorate the Christmas tree and wrap the present?
Answer:
5 hours
Step-by-step explanation:
3h5min+1h55min=5hours
Answer:
3+1=4
55+5=60
60 minutes make an hour
=5
Step-by-step explanation:
Round the numbers to estimate the quotient.
29 1/5 divided by 4 6/7
Which numbers should be used?
____divided by____
The estimated quotient is:
Answer:
29.2 divided by 4.9 = 6.0
Step-by-step explanation:
29.2 divided by 4.9 = 5.95918367
5.95918367 → 6.0
Key:
→ = rounded to the nearest tenth
Answer:
29 ÷ 5 the estimated quotient is 5 4/5
Step-by-step explanation:
I took the test (;
;)))))))))))))))))))))))))))))))))))))))))))))))
Answer:
;)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
Step-by-step explanation:
yes yes do the ;))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
4. What is the slope of the line that contains the points (-6,1) and (4,-4)? A. 2 B. -2 C. 1 2 a 1 D. 2
Answer:
It would be -[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Use the slope formula to find the slope m.
Two numbers add up to 64. One of the numbers is 24. What is the other number?
Answer:
40
Step-by-step explanation:
If there are two numbers and you're trying to find the other one, you can subtract 64 and 24, you would get 40
Check; 40 + 24 = 64
This table gives a few (x, y) pairs of a line in the coordinate plane. What is the x-intercept of the line?
Answer:
x=-14
Step-by-step explanation:
The x-intercept of a line is the value of x that makes y=0.
A line can be expressed in its slope-intercept form:
y=mx+b
Once determined the equation of the line, the x-intercept can be calculated by setting y=0 and solving for x.
Let's find the slope of the line.
Suppose we know the line passes through two points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let's pick the first two points of the table (-94,24) (-74,18). The slope is:
[tex]\displaystyle m=\frac{18-24}{-74+94}=\frac{-6}{20}=-\frac{3}{10}[/tex]
The equation of the line is:
[tex]\displaystyle y=-\frac{3}{10}x+b[/tex]
Now use one of the points to find b, for example (-94,24):
[tex]\displaystyle 24=-\frac{3}{10}\cdot (-94)+b[/tex]
Operating:
[tex]\displaystyle 24=\frac{141}{5}+b[/tex]
Solving:
[tex]b=24-\frac{141}{5}=-\frac{21}{5}[/tex]
The complete equation of the line is:
[tex]\displaystyle y=-\frac{3}{10}x-\frac{21}{5}[/tex]
To find the x-incercept, set y=0 and solve:
[tex]\displaystyle 0=-\frac{3}{10}x-\frac{21}{5}[/tex]
[tex]\displaystyle x=\frac{\frac{21}{5}}{-\frac{3}{10}}=-\frac{21}{5}\cdot \frac{10}{3}[/tex]
x=-14
A family spends $540 every month on food. If the family's income each month is $1800, what percent of the family's income is spent on food?
Answer:
1,260
Step-by-step explanation:
This is if you subtract those numbers up you would get 1,260
Tia types 66 words in 3 minutes. She wants to know how many words she can type in 5 and 10 minutes if she keeps the same rate. How many words does Tia type in 1 minute? Find the unit rate.
Answer:
Step-by-step explanation:
she can type 22 words in 1 minute and it takes her .045 seconds to type 1 word
she can type 110 words in 5 minutes and 220 words in 10 minutes.
find the perimeter of the figure below composed of a rectangle and a semi circle round to the nearest tenths place
Given parameters:
We have two shapes, the rectangle and semi circle;
The problem is to find the perimeter of the shape given
The perimeter of a body is the total length of the body.
Here, it is the sum of the perimeter of the rectangle and semi-circle.
Note, to remove repetition, we to deduct 6 which is a common point to both of them.
Perimeter of a semi-circle = Circumference of semi- circle
= πr² x [tex]\frac{1}{2}[/tex]
The diameter here is 6 and radius is 3;
Circumference of semi-circle = π x 3² x [tex]\frac{1}{2}[/tex] = 14.14
Perimeter of rectangle = 2(6+8) = 28
The perimeter of the figure = 14.14 + 28 - 6 = 36.1
The perimeter of the figure is 36.1
how many centiliters are in 3 quarts?
Answer:
283-284
The real answer is like 283.906
Given that (-8,-6) is on the graph of f(x), find
the corresponding point for the function
f(x) - 3
Answer:-8,-9
Step-by-step explanation:
Can you conclude with a high degree of confidence that the population means for Iowa and New Jersey students are different? A. Because of the extremely low p-value, we cannot reject the null hypothesis with a very high degree of confidence. Hence, the population means for Iowa and New Jersey students are not different. B. Because of the extremely high p-value, we can reject the null hypothesis with a very high degree of confidence. Hence, the population means for Iowa and New Jersey students are different. C. Because of the extremely low p-value, we can reject the null hypothesis with a very high degree of confidence. Hence, the population means for Iowa and New Jersey students are different. D. Because of the extremely high p-value, we cannot reject the null hypothesis with a very high degree of confidence. Hence, the population means for Iowa and New Jersey students are not different.
Complete Question
The complete question is shown on the first uploaded image
Answer:
Option A is correct
Step-by-step explanation:
From the question we are told that
The 95% confidence interval of the mean score of all New Jersey third graders is (58.957 , 63.043)
The sample size is n = 184
The sample average is [tex]\mu = 65 \ points[/tex]
The standard deviation is [tex]\sigma = 13 \ points[/tex]
The 90% confidence interval for the difference in mean score between lowa and New Jersey is (-6.33 , -1.67 )
The p-value is [tex]p-value = 0.0048[/tex]
Generally given that the p-values is very low compared to the level of significance (100 -90 = 10% = 0.10 ) we can reject the null hypothesis which is usually a claim that the means of the population are the same )
Hence the population means are different .