Answer:
Step-by-step explanation:
Aisha’s estimate is not reasonable.
They earned about $100 and spent about $120 so they should have about $20 less than they started with.
Factor the expression. 63a - 42b
Answer:
21(3a-2b)
Step-by-step explanation:
Answer:
21(3a-2b)
Step-by-step explanation:
63a - 42b
21(3a-2b)
the number obtained on rationalizing the denominator of 1/(√7--2) is
[tex] \frac{1}{ \sqrt{7} -(- 2)} \\ rationalizing \: \: \: the \: \: \: denominator \: \: \: we \: \: \: have \\ = \frac{1}{ \sqrt{7} + 2 } \times \frac{ \sqrt{7} - 2}{ \sqrt{7} - 2} \\ = \frac{ \sqrt{7} - 2}{ {( \sqrt{7} )}^{2} - {(2)}^{2} } \\ = \frac{ \sqrt{7} - 2 }{7 - 4} \\ = \frac{ \sqrt{7} - 2}{3} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Given that:
1/(√7 - 2)
The denominator is (√7-2).
We know
The rationalising factor of (√a-b) is (√a+b)
Therefore, the rationalising factor of √7-2 is √7+2.
On rationalising the denominator them
⇛[1/(√7-2)]×[(√7+2)/(√7+2)]
⇛[1(√7+2)]/[(√7-2)(√7+2)]
Since, (a-b)(a+b) = a²-b²
Where, a = √7 and b = √2.
⇛[1(√7+2)]/[(√7)²-(2)²]
⇛[1(√7+2)]/[(√7*7)-(2*2)]
⇛[1(√7+2)]/[7-4]
⇛[1(√7+2)]/3
⇛(√7+2)/3
Hence, the denominator is rationalised.
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The weight of 120 books is 36kg, find the weight per book
Answer:
0.3kg
Step-by-step explanation:
Since the weight of 120 books is 36kg, the weight per book will be:
= 36kg / 120
= 0.3kg
5. Find the value of x.
17x – 18
7x
if 17x-18=7x
then 17x-7x=18
10x=18
x=1.8
5 cm is about 2 inch. Explain in a line graph to find out how many inch are in 50 cm.
Answer:
20 inches
Step-by-step explanation:
If that's centimeters on the x-axis and inches in the y-axis, then the slope is 2/5 and the y-intercept is 0.
[tex]y=\frac{2}{5}x[/tex]
The slope of 2/5 in this context means 2 inches per 5 centimeters. Then, either by solving the equation or by graphing the line, you can determine that there are about 20 inches in 50 centimeters.
Hello help please please I need help help help
Answer:
45
Step-by-step explanation:
They are both the same length-
QUESTION 7
Find the slope of the line passing through the points (8, 3) and (9,7).
A. 4
B. -4
C. 1/4
D. -1/4
I got the X and Y wrong, its 4. Sorry! mark the other answer instead
Reason:
9 - 8 = 1
7 - 3 = 4
Because that 7 and 3 are Y, 4 goes over. so it makes a whole number
Answer:
A. 4
Step-by-step explanation:
yeah-ya............. right?
A+b/a-b =5/3 what are the following ratios? a+b/3b
Witch equation can be simplified to find the inverse of y=5x^2+10
Answer:
[tex]\huge\boxed{y=\sqrt{\dfrac{x-10}{2}}\ \text{for}\ x\geq10}[/tex]
Step-by-step explanation:
[tex]y=5x^2+10\\\\\text{exchange x to y and vice versa}\\\\x=5y^2+10\qquad|\text{subtract 10 from both sides}\\\\x-10=5y^2\qquad|\text{divide both sides by 5}\\\\\dfrac{x-10}{5}=y^2\\\\y^2=\dfrac{x-10}{5}\to y=\sqrt{\dfrac{x-10}{2}}[/tex]
If:
7158=2
4923=1
5806=4
Find:
9472=?
3148=?
8195=?
8096=?
Answer:
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Class 11
>>Maths
>>Sets
>>Complement of Sets
>>If U = {1,2,3,4,5,6, 7, 8, 9 }, A = {2,
Question
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If U={1,2,3,4,5,6,7,8,9},A={2,4,6,8} and B={2,3,5,7}. Verify that
(i) (A∪B)
′
=A
′
∩B
′
(ii) (A∩B)
′
=A
′
∪B
′
Medium
Solution
verified
Verified by Toppr
U={1,2,3,4,5,6,7,8,9}
A={2,4,6,8}
B={2,3,5,7}
(i) (A∪B)
′
={2,3,4,5,6,7,8}
′
={1,9}
A
′
∩B
′
={1,3,5,7,9}∩{1,4,6,8,9}={1,9}
∴(A∪B)
′
=A
′
∩B
′
(ii) (A∩B)
′
={2}
′
={1,3,4,5,6,7,8,9}
A
′
∪B
′
={1,3,5,7,9}∪{1,4,6,8,9}={1,3,4,5,6,7,8,9}
∴(A∩B)
′
=A
′
∪B
can you find the error?
Both step 1 and step 2 were correct with the process of moving the value of x into the place of x and continuing to solve. However, step 3 is incorrect because when it is a negative value being subtracted by another negative value, it remains a negative. So the answer is -14 instead of 14.
Answer:
-32 - 8 = -40
Step-by-step explanation: basicly for 1 instead of putting 3 and 2 together he multiplyed then minus 8
then for 2 he did -6 and -8
then: 14............
1092 is what percent of 1140
%95.79 because it is
find the perimeter of the triangle A(4,-2) B(9,-2) C(9,10)
Answer:
30 units
Step-by-step explanation:
A graph can help you see the lengths of the sides. This is a right triangle, so the length of the hypotenuse is found using the Pythagorean theorem:
5² +12² = b² = 169
b = √169 = 13
The perimeter is 5+12+13 = 30 units.
Help help help math math math math
Answer:
x = 15
Explanation:
First, add both equations on one side, and set it equal to 180° because it's supplementary:
2x + 8 + 8x + 22 = 180
combine like terms:
10x + 30 = 180
subtract 30 on both sides of the equation and you end up with:
10x = 150
divide both sides by 10 and you get:
x = 15
Answer:
x=5
Step-by-step explanation:
need help with math problem give 5 stars and a good rating
Answer:
B,C,D
Step-by-step explanation:
24ft =288 in A IS FALSE
2 miles = 10560 ft B IS TRUE
1/2 miles = 2640 ft C IS TRUE
0.5 miles = 880 Yds D IS TRUE
0.5 ft = 6 in E IS FALSE
Find the common factors of the algebraic expression:- 7a²b, 14abc
please help me please it's important
factor of 7a²b, 14abc
7a²b, 14abc= 7ab
.872 to scientific notation
Answer:
8.72×10²
Step-by-step explanation:
8.72×10²=872Bob paid $54 for shoes if they were on sale for 10% off what was the original price
The mean hourly wage for employees in goods-producing industries was $24.57, April 12, 2012 (Bureau of Labor Statistics). Suppose a sample of 30 employees from the manufacturing industry is taken, in April 2012, to see if the mean hourly wage differs from the reported mean of $24.57 for the goods-producing industries.
a. State the null and alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries.
b. Suppose a sample of 30 employees from the manufacturing industry showed a sam- ple mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour and compute the p-value.
c. With a = .05 as the level of significance, what is your conclusion?
d. Repeat the preceding hypothesis test using the critical value approach.
Step-by-step explanation:
a. The null hypothesis is generally an exact value and the alternative hypothesis is the one we are trying to show. We are trying to show that the population mean is different from $24.57, so the hypotheses are as follows:
Null: The population mean hourly wage in the manufacturing industry is the same as the population mean hourly wage in the goods-producing industries
Alternative: The population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries
b.
Because we know the population standard deviation, we can use a z test
Plugging in the values:
Expected population mean: 24.57
Sample average: 23.89
Sample size: 30
Population standard deviation: 2.4, we get 0.1207 as our p-value.
c. Using a = 0.05, our p-value is greater than that, so we can not conclude the alternative hypothesis (The population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries)
d. Using a critical value calculator, we can find that for a two-tailed approach, the critical value would be 1.96. This would mean that the z score would have to be greater than 1.96 or less than -1.96 for the results to be significant. The population mean we would plug in here is 24.57, while the raw score would be 23.89 and the standard deviation would be 2.4. The z score we get is -0.283, which is not in the values specified (>1.96 or <-1.95) so we cannot conclude the alternative hypothesis
PLEASE HELP ILL GIVE A HEART AND 5 STARS
Answer:
I Think it's True (If it's not please don't hate)
The school band is selling items to raise $9,500 for a trip. For each item sold, the band's profit is a percent of the selling price, as shown in the table. The flutists' goal is to raise 18% of the total amount needed. The trumpeters' goal is 85% of the flutists' goal. If both of these groups meet their goals, which group raised more money? What was the difference in the amounts the students raised?
The goal amount of the student groups are given in percentages, which are fractions based on one hundred.
The flutist raised more money than the trumpetersThe difference in the amounts the student raised is $256.5Reasons:
The amount the school band is raising for the trip = $9,500
Goal of the flutist = To raise 18% of the total amount
Goal of the trumpeters = 85% of the flutist's goal
Required:
The group that raise more money, given that their goals are met
Solution:
Given that the goal of the trumpeters trumpeters is 85% of the goal of the flutist, the flutist raised more money.
Required:
The difference in the amount raised by the students
Solution:
The amount raised by the flutist = 18% of $9,500 = 0.18 × $9,500 = $1,710
Amount the trumpeters raised = 85% of $1,710 = 0.85 × $1,710 = $1,453.5
The difference in the amount raised = $1,710 - $1,453.5 = $256.5
Learn more about percentages here:
https://brainly.com/question/1367867
A $300 bike is marked down to $175. Find the percent markdown to the nearest whole percent.
Answer:
58
Step-by-step explanation:
58 because you divide 200 by 100 then getting that answer (3) then divide 175 by 3 which equals one percent and you get 58.333 you round it to the nearest whole and u get 58
i need help for my bro
Which of the following expressions is equivalent to log 5 - k log 2?
Select one answer
Answer:
C
Step-by-step explanation:
log5- klog2= log5-log2^k = log(5/2^k)
You have a box with 4 green marbles, 7 blue marbles, and 2 red marbles. What is the probability of picking a green marble?
Answer:
Step-by-step explanation:
If the picking is random, there are 4 chances out of a possible 13 options.
4/13
The container hold 1/2 gallon of water. It is 3/4 full. How many gallons of water are in the container?
Based on the capacity of the container and the capacity currently being used, the amount of water in the container is 3/8 gallons.
The container is capable of holding 1/2 gallons of water.
If it is holding 3/4 of that 1/2 gallons, the amount of water it would be holding is:
= Capacity of container x Percentage full
= 1/2 x 3/4
= 3/8 gallons of water
In conclusion, the container is currently holding 3/8 gallons of water.
Find out more about this at https://brainly.com/question/11459708.
pls can u help me with this question
Answer:
yes less than a min
Step-by-step explanation:
A bag of mixed nuts has 18 almonds, 8 cashews, and 14 peanuts. If one nut is selected, what is the probability that a peanut is chosen?
Provide the answer as a simplified fraction.
Answer:
7/20
Step-by-step explanation:
Answer:
ok so here is answer option no1
1/8 + 1/4 = 3/8
or you could do
18 plus 14 equals 32divided into 8 equals 4
Step-by-step explanation:
if this is wrong I'm very very very really really really sorry.
7. A boutique is offering a 25% discount on purchase made in cash. Calculate the cash price Janelle paid for articles totaled to $465.
Answer:
$348.75
Step-by-step explanation:
$465 * 25%= 116.25
465-116.25 = $348.75
Identify the focus and directrix of the parabola represented by the equation (y-2)^2= 24 (x-5)
Answer: Directix= -1
Focus (11, 2)
Step-by-step explanation: