Answer:
Step-by-step explanation:
5x-(x-18)=6-2(x+15)
5x-x+18=6-2x-30
6x=-42
x=-7
The equivalent value of the expression is x = -7
Given data ,
Let the equation be represented as A
Now , the value of A is
5x - ( x - 18 ) = 6 - 2 ( x + 15 )
On simplifying the equation , we get
5x - ( x - 18 ) = 6 - 2 ( x + 15 )
So , the left hand side of the equation is equated to the right hand side by the value of 6 - 2 ( x + 15 )
Opening the parenthesis on both sides , we get
5x - x + 18 = 6 - 2x - 30
From the distributive property , we get
5x - x + 18 = 6 - 2x - 30
On further simplification , we get
4x + 18 = -2x - 24
Adding 2x on both sides , we get
6x + 18 = -24
Subtracting 18 on both sides , we get
6x = -24 - 18
6x = -42
Divide by 6 on both sides , we get
x = -42/6
x = -7
Therefore , the value of x = -7
Hence , the expression is x = -7
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Bob can eat 24 pizzas in 1 1/3 hours. How many pizzas per hour?
Answer:
Step-by-step explanation:
Lin runs 5 miles in 40 minutes.
A. How many minutes per mile that?
B. How many miles per minute is that?
C. If Lin runs 9 miles at the same rate, how long does it take her?
Graph the line with the equation y = 1/5 x - 5 , ILL MARK BRAINLIST
Answer:
The line will cross point (0,-5) and (25,0)
Step-by-step explanation:
Proved graph in the picture using desmos graphing software
A gallon of gas last summer was $2.28. This week, a gallon costs $3.48.
What is the percent change?
Answer:
52.63%
Step-by-step explanation:
The gasoline increased by $1.20. This means it grew by about 52.63% (Double-check to make sure I am correct)
Suppose that 11% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped). Consider a random sample of 200 shafts, and let X denote the number among these that are nonconforming and can be reworked. (Round your answers to four decimal places.) (a) What is the (approximate) probability that X is at most 30
Answer:
0.9726 = 97.26% approximate probability that X is at most 30
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
11% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped).
This means that [tex]p = 0.11[/tex]
Random sample of 200 shafts
This means that [tex]n = 200[/tex]
Mean and Standard deviation:
[tex]\mu = E(x) = np = 200*0.11 = 22[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{200*0.11*0.89} = 4.42[/tex]
(a) What is the (approximate) probability that X is at most 30
Using continuity correction, this is [tex]P(X \leq 30 + 0.5) = P(X \leq 30.5)[/tex], which is the pvalue of Z when X = 30.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{30.5 - 22}{4.42}[/tex]
[tex]Z = 1.92[/tex]
[tex]Z = 1.92[/tex] has a pvalue of 0.9726.
0.9726 = 97.26% approximate probability that X is at most 30
the total for a restaurant bill is $95.20 if the bill is split among 8 friends equally, how much will each person pay
Answer:
11.90
Step-by-step explanation:
Translate each of the following English statements into logical expressions. The domain is the set of all real numbers. (a) There are two numbers whose ratio is less than 1. (b) The reciprocal of every positive number is also positive. (c) There are two numbers whose sum is equal to their product. (d) The ratio of every two positive numbers is also positive.
Step-by-step explanations:
Since the domain is a set of all real numbers, all the expression are with respect to real numbers.
a. 3 x,y : x/y < 1 ∧ y/x < 1
b. ∀x > 0, 1/x > 0
c. 3 x,y : x + y = xy
d. ∀x > 0 ∧ y > 0, x/y > 0 ∧ y/x > 0.
3 means "there exists"
∀ means "for every value of"
∧ means "and"
Sam has 6 boxes of pencils. Each pack has x pencils in it. After Julie gives Sam 4 more pencils, he has a total of 40 pencils.
40 - (x + 4) = 6
6(x + 4 ) = 40
6x + 4 = 40
6 + 4x = 40
Answer:
6x + 4 = 40
Step-by-step explanation:
6 boxes
x = number of pencils per box
therefore Sam had 6x and received 4 more
Answer:
6x + 4 = 40
explanation
Step-by-step explanation:
6 boxes
x = number of pencils per box
therefore Sam had 6x and received 4 more
1. It costs $3.45 to buy 3/4 lb of chopped walnuts. How much would it cost to purchase
7.5 lbs of walnuts? Explain or show your reasoning.
Answer:
$34.50
Step-by-step explanation:
First, how many 3/4 lbs are in 7.5 lbs?
7.5 lbs = 15/2 lbs.
(15/2) / (3/4) = 10
There are 10 "3/4" lbs in 7.5 lbs.
So, if it costs $3.45 to purchase 3/4 lbs of chopped walnuts, it would cost $3.45 times 10 dollars to purchase 7.5 lbs of chopped walnuts, or $34.50.
Let me know if this helps!
what's the answer to this
Mary is baking cookies, and the recipe calls for 1 1/2 cups of sugar. If she has 6 1/3 cups of sugar left after she bakes the cookies, how much sugar (s) did she have before she started baking cookies? Which equation would you use to solve for (s)?
Answer:
7 5/6
Step-by-step explanation:
1 1/2= 1 3/6
6 1/3= 6 2/6
1 3/6
+6 2/6
————-
7 5/6
Of the 80 students in the student body, 60 voted for the winning candidate. What percent voted for the winning candidate
Answer:
20 studenti fac laba on a romania
Answer:75%
Step-by-step explanation:
Total no. of students= 80
No. of students who voted the winning candidate=60
% of students that voted for the winning team=60/80 x 100%
What is the greatest common factor of 3 and 27?
Answer:
9
Step-by-step explanation:
3*9=27
The greatest common factor of 3 and 27 is 3.
Given numbers are 3 and 27.
To find the greatest common factor of 3 and 27, find the factor each number individually.
So, the factor of 3 are:
3 = 1, 3
and, the factor of 27 are:
27= 1, 3, 9, 27
Now, the greatest common factor will be 3.
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Which expression does not equal to the others?
A
567 /1,000
-------------------
B
56.7 / 10,000
----------------------
C
5.67 /10
---------------------
D
56.7 /100
Answer:
B is not equal to the others
Step-by-step explanation:
Find the slope of the line through the given points.
(-7, 7), (-1, 10)
Answer:
slope={10-7)/(-1--7)=3/(-1+7)=3/6=1/2
Answer:
3/6 or 1/2 (simplified)
Step-by-step explanation:
Use the slope formula: (change in y)/(change in x)
John owns a hot dog stand. His profit, in dollars, is given by the equation P(x) = -x + 10x + 34, where x is the number of hot dogs sold. What is the most he can earn?
O A. $39
OB. $59
O C. $99
O D. $25
A . it is increasing and linear
B. it is decreasing and linear
C. it is increasing and non linear
D. It is decreasing and non linear
Answer:
The answer is B.
Step-by-step explanation:
From the interval -6 < x < 0, the line is straight which is linear equation. The line shows its going down so it will be decreasing gradient.
Divide 4 1/2 by the following unit fractions. 1/8 b. 1/4 c. 1/6
Answer:
a. 36
b. 18
c. 27
g(x)=1/6(8)^x-5. x=9
Answer:
[tex]g(9) = \frac{2048}{3}[/tex]
Step-by-step explanation:
Given
[tex]g(x) = \frac{1}{6}(8)^{x-5}[/tex]
[tex]x = 9[/tex]
Required
Solve
Substitute 9 for x in [tex]g(x) = \frac{1}{6}(8)^{x-5}[/tex]
[tex]g(9) = \frac{1}{6}(8)^{9-5}[/tex]
[tex]g(9) = \frac{1}{6}(8)^{4}[/tex]
Remove bracket
[tex]g(9) = \frac{1}{6}* 8^4[/tex]
[tex]g(9) = \frac{1}{6}* 4096[/tex]
[tex]g(9) = \frac{1* 4096}{6}[/tex]
[tex]g(9) = \frac{4096}{6}[/tex]
Simplify fraction
[tex]g(9) = \frac{2048}{3}[/tex]
A trapezoid has 62 feet base and 36.4 feet base, as well as 70 feet height. What is the area?
In a class of 30 students, 13 of them are boys.
What percentage of the class are girls?
Give your answer to 1 decimal place.
Answer:
56.7%
Step-by-step explanation:
30-13=17
(on a scientific calculator) 17/30=
0.56666667 x 100= 56.7 (round it up)
you can use this method everytime when trying to find a percantge.
Find the volume of this cuboid 5cm
Answer:
125[tex]cm^{3}[/tex]
Step-by-step explanation:
5x5x5= 125
IF YOU ARE SMART DO THIS PROBLEM NOT PEOPLE WHO DONT WANN HELP
An aquarium holds 11.94 cubic feet of water, and 2.6 feet long and 1.4 feet wide. What is its depth? Round your answer to the nearest whole number.
Answer:
3.28ft
Step-by-step explanation:
Rectangular Prism Formula:
l*w*d = v
(plug in values)
2.6*1.4*d=11.94
3.64*d=11.94
d = 3.28ft
PLEASE HELPP!!
|y.
2
X X
-2 1
45
2
3
What is the slope of line b?
01
2
2.
-2
0 -1
2
Answer:
slope = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line
m = [tex]\frac{0-(-2)}{4-0}[/tex] = [tex]\frac{0+2}{4}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]
Pls someone help the multi choice answers are
A:3:10
B:2/5
C:3:7
D:1/2
it will be A
Step-by-step explanation:
because it adds up to 3:10
The experimental probability and theoretical probability of an event are not
necessarily the same.
A) true B) false
A class of 50 students is divided into two groups. One group has 8 more students than the
other. How many students are in each group?
$76 nor week plus S16 for each sale
Answer:
Step-by-step explanation:
Hi can someone help me with these 2.
Step-by-step explanation:
13. 43/5 = 8 3/5
(I) he can make 8 rows .
(ii)= 3 soldiers will be left in the last row .
14. 17/2 = 8 1/2
I) she can make 8 booklets
2) yes she will have any extra sheet
3 ) 1 sheet will be left extra .
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
which shows the product of 23 and 39
Answer:
23 * 29
Step-by-step explanation:
pls give thanks, 5 star, brainliest
Write 125 as a fraction
reduced to lowest terms.
Answer:
1/8
Step-by-step explanation:
