[tex]42 - 42 \times 15\%[/tex]
[tex] =42 - 42 \times \frac{15}{100} [/tex]
[tex] =42 - 21 \times \frac{15}{50} [/tex]
[tex] =42 - \frac{315}{50} [/tex]
[tex] = 42 - 6 \: \frac{15}{50} [/tex]
[tex] = 41 \: \frac{50}{50} - 6 \: \frac{15}{50} [/tex]
[tex] = 35 \: \frac{35}{50} [/tex]
[tex] = 35.70[/tex]
Answer:The family did spend $35.70 on the meal after the coupon
b.Solution:[tex]35.70 + 42 \times 20\%[/tex]
[tex] = 35.70 + 42 \times 0.2[/tex]
[tex] = 35.70 + 8.4[/tex]
[tex] = 44.10[/tex]
Answer:The family did spend $44.10 on the meal in total.
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To a motorist travelling due North at 50km/hr, the wind appears to come from North West at 60mk/hr. Find the true velocity of the wind.
Answer:43.1 km/h
Step-by-step explanation:
Suppose velocity of motorist [tex]\vec{v_1}=50\hat{j}[/tex]
The appeared velocity of wind or resultant velocity is [tex]\vec{v_r}=60[\hat{i}\cdot \frac{1}{\sqrt{2}}+\hat{j}\cdot \frac{1}{\sqrt{2}}][/tex]
Suppose the true velocity of wind is [tex]v_2[/tex]
so, [tex]\vec{v_1}+\vec{v_2}=\vec{v_r}[/tex]
[tex]\vec{v_2}=\frac{60}{\sqrt{2}}\hat{i}+(\frac{60}{\sqrt{2}}-50)\hat{j}\\\vec{v_2}=42.42\hat{i}-7.57\hat{j}\\absolute\ velocity=\sqrt{42.42^2+(-7.57)2}=43.09\approx 43.1\ km/h[/tex]
(7 x 5) - (7 x 3) = 7x( -(
)?
Step-by-step explanation:
ans:7*(-(3-5))..........
Please help me asap
Answer:
the answer is C. y=3x-4
Step-by-step explanation:
the slope can be found by taking two points and putting them in this equation:
[tex]\frac{y_{2}-y_{1} }{x_{2}- x_{1} }[/tex]
so using the first two points, the equation would be
[tex]\frac{2-(-1) }{2-1}[/tex]
giving you 3 for the slope
the y-intercept (where x=0) is found by subtracting 3 from -1 which is -4.
Help Please!! i will give 25 points and Brainliest answer!!
Answer:
L x W (original)
(L+3) x w (one dimension changed)
(L+3)(W+3) (both dimensions changed)
Step-by-step explanation:
Rectangle when one dimension increase 3 units, area will change from original (L and w are its two sides)
L x W to (L+3) x w
If both dimension increase 3 units, the area will become
(L+3)(W+3)
Finding a Solution
What is the solution of the system of equations?
A small dog weighs 6 1/2 pounds. A larger dog weighs 2 2/3 times as much as a small dog. How much does the larger dog weigh?
Answer:
17 1/3 pounds
Step-by-step explanation:
6 1/2=6.5
6.5×2=13
6.5×2/3=4.3333333333
13+4.33=17.33=17 1/3
So the larger dog weighs 17 1/3 pounds
Please give brainliest, thank me and rate it 5 if this helped you.
Answer:The larger dog weighs 17 1/3 pounds .
Step-by-step explanation:6 1/2 × 2 2/3
= 13/2 × 8/3
= 104 /6
= 52/3
= 17 1/3
That is how you solve it and the steps you do to get to the answer.
But now I will explain.So the first step is you change 6 1/2 and 2 2/3 into a improper fraction which 6 1/2 as an improper fraction is 13/2 and 2 2/3 as an improper fraction is 8/3 .The next step is you multiply the improper fractions together which are 13/2 multiply 8/3 which you get 104/6.After that you simplify 104/6 ,and you get 52/3 . You divided both 104 and 6 (104/6) by 2 which gives you 52/3. (104 ÷ 2 /6 ÷ 2 =52/3) Lastly you change 52/3 which is a improper fraction into a mixed number which gives you 17 1/3 as your answer.
I hope this helps :)
Please give brainliest if it helps .Thanks :)
April invests in an annually compounded account with an interest rate of 4.1%. After 6 years, she plans to have $8600 in her account. For this to be true, what must be her initial investment?
Answer:
d
Step-by-step explanation:
i think so
Answer:
Step-by-step explanation:
6758
Must round 6757.62 to nearest whole
Tell whether x and y show direct variation. Explain your reasoning.
1. x + y = 6
2. y - x = 0
3. y/x = 20
4. x = y + 2
Answer:
a certain number that i do not know
Step-by-step explanation:
a certain number that i do not know
Solve the equation X-12/4=9
X=44
X=83
X=48
X=25
Answer:
X=48
Step-by-step explanation:
WILL MARK BRAINLIEST
30 POINTSSS
Answer: 2/5y and -.2y are like terms, and -6 and -2 are like terms
Step-by-step explanation:
Answer:
Hey! Seems like you already have an answer but I am going to tell you why it's your answer!
Step-by-step explanation:
So 2/5y and 0.2y are like terms because they both have a letter at the end are a variable. Now -6 and -2 or both negative numbers so what you're looking out for or matching sign's like the one's I put above hope this helps a bit!!! Good Luck!!!!
An item is originally $52. It is on sale for 20% off. What is the sale price?
Answer:
$41.6
Step-by-step explanation:
20/100 x 52 = 10.4
52 - 10.4 = 41.6
What is the answer for 5x+17>37
Answer:
x > 4
Step-by-step explanation:
Answer:
x = 4
Step-by-step explanation:
2,400 divided by what is 30?
Answer:
80
Step-by-step explanation:
Just use 2,400 / 30 to solve. The answer should be 80:
Therefore, 2,400 / 80 = 30
Hope this helps :)
the pie chart shows the information about the favourite ice cream flavour of each student in a school there are 720 students in a school complete the table
Answer:
chocolate= 180 students
vanilla= 120
strawberry= 210
mango= 210
Step-by-step explanation:
The chocolate section of the pie chart is at a right angle (90 degrees), which means a quarter of the students prefer chocolate
720/4= 180
The vanilla section is 60 degrees which is 2/3 of 90
180/3=60
60x2=120
the mango and strawberry sections represent whats left which is 420 students. The sections are equal to each other so they're each 210 students
Set A = 2,5, 6, 8, 11
Set B= 3, 4, 6, 9, 10, 12
What is the union of sets A and B?
how do I graph the proportional relationship of y=2.25×
Answer:
[tex]y = 2.25x \\ \boxed{y = \frac{9}{4} x}[/tex]
Slope=9/4 and intercept=0Coordinates :---
• (x, y)
→(-2, -9/2)
→(-1, -9/4)
→(0, 0)
→(1, 9/4)
→(2, 9/2)
Please answer this correctly without making mistakes
K-3/2=10 then k=??????? Helpppppppppppppppppppp meeeeeeee
Answer:
11 1/2 or 23/2
Step-by-step explanation:
K = 10 + 3/2 = 10 + 1 + 1/2
If y is 9, what is x?
Answer:
Ima just steal the points
Step-by-step explanation:
There is a bag with only red marbles and blue marbles the probability of randomly choosing a red marble is 7/12 there are 42 red marbles in the bag and each is equally likely to be chosen work out how many marbles there must be
Answer:
72
Step-by-step explanation:
Given that:
P(Red) = Probability of randomly choosing a red
Probability of randomly choosing a red = 7/12
Number of red marbles = 42
The number of marbles in the bag :
P(Red) = number of red marbles / total number of marbles
Total number of marbles = (red marbles + blue marbles)
P(red) = 7/ 12 ;number of red = 42
P(Red) = number of red marbles / total number of marbles
Let:
x = total number of marbles
7/12 = 42 / x
(7/ 12)x = 42
7x / 12 = 42
7x = 12 * 42
7x = 504
x = 504 / 7
x = 72
what is equivalent to 60% of 25
Which shows a pair of shapes that are not similar? All corresponding angles have equal measure.
Answer:
Its either C or D but i think its D
Step-by-step explanation:
Please solve this
Need help
Answer:
See answer below
Step-by-step explanation:
There is NO elementary function that gives the antiderivative of e^(-x^2)
This expression in fact is called the Gaussian integral, since it gives the Gaussian bell curve.
Its integration is done by numerical methods, it is widely used in Statistics, and there are tables to calculate definite integrals associated with probability distributions.
A rubber band ball weighed some amount. Fatima added two rubber bands to the ball, and now the ball weighed 88 grams. Fatima added two more rubber bands, and now the whole ball weighed 94 grams.
Answer:
Step-by-step explanation:
92
On a certain hot summer's day, 195 people used the public swimming pool. The daily prices are $1.75 for children and $2.25 for adults. The receipts for admission totaled $383.75. How many children and how many adults swam at the public pool that day?
Answer:
3x-x+2=4
Step-by-step explanation:
Children = x
Adults = y
x + y = 754...1
1.50x + 2.25y = 1422...2
Multiply (1) by 2.25
2.25x + 2.25y = 1696.50...3
1.50x + 2.25y = 1422...2
Subtract (2) from (3)
0.75x = 274.50
x = 366
Substitute x = 366 in (1)
x + y = 754
366 + y = 754
y = 388
366 children and 388 adults swam at the pool.
6x + 2(3x – 9y + 5) + (-9)
PLZ I NEED ANSWERS. THIS IS MIDDLE SCHOOL LEVEL NOT COLLEGE
Consider the division expression 7 1/2÷ 2. Select all multiplication questions that correspond to this division expression.
A. 2 x ? = 7 1/2
B. 7 1/2 x ? = 2
C. 2 x 7 1/2 = ?
D. ? x 7 1/2 = 2
E. ? x 2 = 7 1/2
PLZ I NEED ANSWERS. THIS IS MIDDLE SCHOOL LEVEL NOT COLLEGE
Step-by-step explanation:
7 [tex]\frac{1}{2}[/tex] ÷ 2
A. 2 × ? = 7[tex]\frac{1}{2}[/tex]
Divide 2 on both sides to bring all the constants on one side...
? = 7 1/2 ÷ 2
B. 7 1/2 x ? = 2
Divide 7 1/2 on both sides to isolate the ?
? = 2 ÷ 7 1/2
C. 2 x 7 1/2
You already know that the initial problem is asking for an answer that is half of 7 1/2 not twice 7 1/2
D. ? x 7 1/2 = 2
Divide 7 1/2 on both sides
? = 2÷ 7 1/2
E. It's basically the same thing as A
Whatever is bolded is the answer
I hope this made sense and I hope this helps!!!
21. Solve and graph:
7(h+3) > 6(h - 3)
Answer: h>-39
Step-by-step explanation:
Suppose we want to estimate the average weight of an adult male in Mexico. We draw a random sample of 2,000 men from a population of 3,000,000 men and weigh them. We find that the average person in our sample weighs 200 pounds, and the standard deviation of the sample is 30 pounds. Calculate 94%,98%,96% confidence interval
Answer:
1.- CI = 94% ( μ₀ - 1,04 < x < μ₀ + 1,04 )
2.- CI = 98 % ( μ₀ - 2,05 < x < μ₀ + 2,05 )
3.- CI = 96 % ( μ₀ - 1,75 < x < μ₀ + 1,75 )
Step-by-step explanation:
Sample size n = 3000000
Sample mean x = 200
Standard deviation s = 30
From z-table values of z(c):
CI 94 % Confidencial level α = 6 % α = 0,06 z(c) = 1,55
CI 98 % Confidencial level α = 2 % α = 0,02 z(c) = 2,05
CI 96 % Confidencial level α = 4 % α = 0,04 z(c) = 1,75
MOE = z(c) * σ/√n
1.-MOE = 1,55* 30 / √2000 MOE = 1,04
2.-MOE = 2,05*30/√2000 MOE = 1,38
3.-MOE = 1,75*30/√2000 MOE = 1,17
Then CI
1.- CI = 94 % ( μ₀ - MOE < x < μ₀ - MOE )
CI = ( μ₀ - 1,04 < x < μ₀ + 1,04 )
2.-CI = 98 %
CI = ( μ₀ - 2,05 < x < μ₀ + 2,05 )
3.- CI = 96 %
CI = ( μ₀ - 1,75 < x < μ₀ + 1,75 )
Using the t-distribution, it is found that:
The 94% confidence interval is (198.73, 201.27).The 96% confidence interval is (198.61, 201.39).The 98% confidence interval is (198.43, 201.57).We are given the standard deviation for the sample, which is why the t-distribution is used to solve this question.
The information given is:
Sample mean of [tex]\overline{x} = 200[/tex]. Sample standard deviation of [tex]s = 30[/tex]. Sample size of [tex]n = 2000[/tex].The interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which t is the critical value for the two-tailed confidence interval.Considering a 94% confidence level, using a calculator, with 200 - 1 = 199 df, the critical value is t = 1.8916, hence:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 200 - 1.8916\frac{30}{\sqrt{2000}} = 198.73[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 200 + 1.8916\frac{30}{\sqrt{2000}} = 201.27[/tex]
The 94% confidence interval is (198.73, 201.27).
Considering a 96% confidence level, using a calculator, with 200 - 1 = 199 df, the critical value is t = 2.0673, hence:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 200 - 2.0673\frac{30}{\sqrt{2000}} = 198.61[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 200 + 2.0673\frac{30}{\sqrt{2000}} = 201.39[/tex]
The 96% confidence interval is (198.61, 201.39).
Considering a 98% confidence level, using a calculator, with 200 - 1 = 199 df, the critical value is t = 2.3452, hence:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 200 - 2.3452\frac{30}{\sqrt{2000}} = 198.43[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 200 + 2.3452\frac{30}{\sqrt{2000}} = 201.57[/tex]
The 98% confidence interval is (198.43, 201.57).
You can learn more about the use of the t-distribution to build a confidence interval at https://brainly.com/question/16162795
Determine whether the equation is true or false.
Answer:
false
Step-by-step explanation: