Answer:
l = 7x - 9
Step-by-step explanation:
The length of the rectangle is represented by the expression "7x - 9".
What is the perimeter of the rectangle?The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.
The perimeter of a rectangle is given by the formula:
Perimeter = 2 (length + width)
Therefore, we can set up the equation:
20x - 18 = 2 (length + (3x - 1))
Expanding the parentheses and combining like terms, we get:
20x - 18 = 2 × length + 6x - 2
Moving all the terms to one side, we get:
14x - 18 = 2 × length
Dividing both sides by 2, we get:
7x - 9 = length
Thus, the rectangle's length is expressed by the expression "7x - 9".
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A hotel reservation number consist of 4 digits, followed by 1 letters, followed by 3 digits. How many different reservation numbers are possible?
Answer:
24000000
(might not be correct)
Step-by-step explanation:
might not be right but ill try:
ten digits: 10
4times:10x10x10x10=10000
times a letter:24 letters= 10000x24=240000
time three digits: 10x10x10=100x240000=24000000
The total number of combination for the repeating and not repeating cases are 260000000 and 604800 respectively.
What is permutation and combination?Permutation and combination are the ways of counting.
Permutation implies selection of objects regardless of arrangement while Combination implies the selection when arrangement is important.
Given that,
The hotel reservation number contains 4 digits, 1 letter and then 3 digits.
Now, there are two possible cases for the given problem as follows,
Case 1 : The digits are repeating.
Then the total number of combinations for digits varying from 0 to 9 and 26 letters will be,
10 × 10 × 10 × 10 × 26 × 10 × 10 × 10
= 260000000
Case 2 : The digits are not repeating.
Then, for seven digits out of 10 the number of combinations are ¹⁰P₇.
And, for 26 letters it is ²⁶P₁.
Thus the total number of combinations are ¹⁰P₇ × ⁶P₁ which is equal to,
10 × 9 × 8 × 7 × 6 × 5 × 4 × 26
= 604800
Hence, the different number of combinations for the reservation number for the two cases are 260000000 and 604800 respectively.
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given: AC is parallel to DF, m<1 = m<4
prove: AE is parallel to BF
plz help:(
Answer:
..
Step-by-step explanation:
Gomenosai
please help this is for my study guide thanks!
Will give Brainliest. Amoli and Ella are converting measurements between inches and feet. Amoli says that the constant of proportionality is 12. Ella says it is 1/12. Who do you agree with? Explain your thinking.
2/5+1/2=====================
Answer:
9/10
Step-by-step explanation:
To add fractions, find the LCD and then combine.
Exact Form:
9/10
Decimal Form:
0.9
A scientist begins with 50 milligrams of a radioactive substance that decays exponentially. After 40 hours, 25 mg of the substance remains. How many milligrams will remain after 59 hours? Round to the nearest milligram.
Based on the information given, the number of milligrams that will remain after 59 hours will be 13.125 milligrams.
Since after 40 hours, 25 mg of the substance has been removed, therefore, the rate per hour will be:
= 25/40 = 0.625.
The amount that will be removed in 59 hours will be:
= 59 × 0.625 = 36.875
The number of milligrams that will remain will be:
= 50 - 36.875 = 13.125 milligrams
Read related link on:
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Match question I need help
Please.
Answer:
b
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given the function g(x) = x2 - 4x + 0, determine the average rate of change of
the function over the interval 1 < x < 7.
Answer:
4
Step-by-step explanation:
ARC = [tex]\frac{g(b) -g(a)}{b-a}[/tex], b = 7, a = 1
24/6 = 4
-(b-z)-(-2b+z)-(-3b-z)
Step-by-step explanation:
4b + z I think lol I honestly looked it up
50 points for the answers to this question
Answer:
linear, non linear, non linear, non linear
Classify the triangle by both its
sides and its angles using the
choices provided. Choose all that
apply.
H
th
130°
커
O isosceles
equilateral
scalene
acute
obtuse
right
equiangular
Answer:
obtuse isosceles
Step-by-step explanation:
the dashes on the sides show congruency. since two sides have the same number of dashes those two sides are congruent. since the third side has 3 dashes instead of 2, it isn't congruent to the other two meaning the triangle is an isosceles triangle.
since the angle is >90, the triangle is obtuse
Mrs. Salcido cut a small birthday cake into 6 equal pieces for 6 children one child was not hungry, so she gave the birthday boy a piece. draw and label a tape diagram to show how much each of the 5 children receive.
Answer: Answer below.
Step-by-step explanation:
Because one child was not hungry and the cake was cut into 6 equal pieces, this mean one person got 2/6 or 1/3 of the cake and the rest got 1/6 other than the child who was not hungry. I can't draw this but you want to draw a child with 2 equal slices of the cake, one with no slices, and 4 more with 1/6 slices of the cake. Sorry I couldn't draw it, but hope this helps!
help!!!!!!!!!!!!!!!!!!
Find the value of x that makes the equation true:
x + 3 = 4
a. x = 12
b. x = 2
c. x = 1
d. x = 7
The sum of 4 consecutive integers is (-28).
Write an equation with these integers equaling (-28).
Answer:
Step-by-step explanation:
Let the lowest integer be x, then:
x + x + 1 + x + 2 + x + 3 = -28.
Solve each of the following equations. Show its solution set on a number line. Check your answers. 2|2-x|=-5
Answer:
Use the distributive property to multiply 2 by x−1.
l2x-2I=11
2x-2=-11
Add 2 to both sides of the equation.
2x=-9
Divide both sides by 2.
x=13/2
That's the final answer
Hope u have a great day!!
CRITICAL THINKING Is it more difficult to walk up the ramp or the hill? Explain.
The ramp walk is more difficult than the hill. Those who know can only be about that.
Pls help. The question is on the picture
Volume of the square part" 20 x 20 x 37 = 14,800 m^3
Volume of a cone ( round part): PI x r^2 x h/3 = 3.14 x 10^2 x 37/3 = 3,872.67 m^3
The1/4 of the circle is inside the square so multiply the volume of the cone by 3/4:
3872.67 x 3/4 = 2904.50m^3
Total volume = 14,800 + 2904.50 = 17,704.50
Round to nearest m = 17,705 m^3
[tex]\int \frac{dx}{x^2\left(9+x^2\right)}[/tex][tex]\int \frac{dx}{x^2\left(9+x^2\right)}[/tex]
Answer:21 :)
Step-by-step explanation:
According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 2007 were for identity theft. In that year, Alaska had 321 complaints of identity theft out of 1,432 consumer complaints ("Consumer fraud and," 2008). Does this data provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%? State the random variable, population parameter, and hypotheses.
Testing the hypothesis, it is found that since the p-value of the test is of 0.3015, which is greater than the significance level of 0.05, the data does not provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%.
At the null hypothesis, we test if the proportion is of 23%, that is:
[tex]H_0: p = 0.23[/tex]
At the alternative hypothesis, we test if this proportion is lower than 23%, that is:
[tex]H_1: p < 0.23[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.In this problem, the parameters are: [tex]p = 0.23, n = 1432, \overline{p} = \frac{321}{1432} = 0.2242[/tex]
Then, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.2242 - 0.23}{\sqrt{\frac{0.23(0.77)}{1432}}}[/tex]
[tex]z = -0.52[/tex]
The p-value of the test is the probability of finding a sample proportion of 0.2242 or below, which is the p-value of z = -0.52.
Looking at the z-table, z = -0.52 has a p-value of 0.3015.Since the p-value of the test is of 0.3015, which is greater than the significance level of 0.05, the data does not provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%.
A similar problem is given at https://brainly.com/question/14639462
A bank pays 5/100 simple interest per annum for deposits $200 in the bank for two years what will be his total amount in the bank at the end of two years
Answer: $420
To find the total simple interest over the two years, we first find 5/100 (5%) of 200 which is 10. That’s the interest of 1 year so we multiply that by 2 to get 20 for 2 years. Each year a deposit of $200 is made so over two years $400. $20 add $400 is $420 which is the total.
I really need help. Giving brainliest to the real answer. Please my grade closes tomorrow (don’t mind the writing I tried doing it myself)
Answer:
1. B
2. D
3. E
4. C
5. A
6. F
Can someone please explain to me how to solve this?
Will give brainly if you answer the question
Answer:
D.12
Step-by-step explanation:
College brother told me its 12 which is D.
Answer:x=1
Step-by-step explanation:
What is the least common denominator of 10/19 and 2/13
Answer:
Step-by-step explanation:
Step 1 find the least common multiple of lcm of the denominators
PLEASE HURRY NEED HELP!!!!!
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.88 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent.
Answer:
80.22
Step-by-step explanation:
dur rn help pls ))))))))))
I believe it is a because I had a question just like that in 8th grade
35% of a number is what fraction of
that number?
Answer:
1/2
Step-by-step explanation:
because I just took the test
Answer:
Step-by-step explanation:
35/100 = 7/20
can someone heelp me plz plz
Answer:
d)fluid ounce may be right answer
which expression is equivalent to 12x4(x-3)(x+5) / 30 x (x+3) (x+5)
Answer:
D. 2x^3(x-3)/5(x+3)
Step-by-step explanation:
when we simplify it.. we get 2x^3(x-3)/5(x+3).
Expand the function.
f(x) = (2x + 3)4
Answer:
y = 8x + 12
Step-by-step explanation:
y = (2x + 3)4
Distribute the 4 to the 2x and 3
y = 8x + 12
^ Expanded form