Answers
Answer:
Length = 22 cm
Width = 4 cm
Step-by-step explanation:
Area = 88 cm²
Length = x + 7
Width = x - 11
Area of rectangle = length*width
Therefore:
(x + 7)(x - 11) = 88
x(x - 11) +7(x - 11) = 88
x² - 11x + 7x - 77 = 88
Add like terms
x² - 4x - 77 = 88
x² - 4x - 77 - 88 = 88 - 88
x² - 4x - 165 = 0
Factorize
x² - 15x + 11x - 165 = 0
x(x - 15) +11(x - 15) = 0
(x + 11)(x - 15) = 0
x = -11 or x = 15
Let's use the positive number.
Therefore:
Length = x + 7
Plug in the value of x
Length = 15 + 7 = 22 cm
Width = x - 11 = 15 - 11 = 4 cm
Related Questions
A rectangular block of wood measures 5 inches wide. Over time, the width of the block of wood will shrink by 5%. A builder lets the block of wood shrink. He wants to use it to fill a gap that measures 3.5 inches wide.
How much does the builder need to cut off the wood block so that it will fit exactly in the gap? Enter the answer in the box.
The bulder needs to cut
? Inches off the block of wood.
Answers
Answer:
1.25 inches
Step-by-step explanation:
5 - 5% is 4.75
4.75 - 3.5 is 1.25
WILL
GIVE
BRAINLIST ANSWER
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Answers
Click on the picture for the graph!
Remember to label!
Hope this helps! Have a great day!
A recipe calls for 8 ounces of fruit juice for every 32 ounces of soda. How much soda should you use if you use 16 ounces of fruit juice? DO NOT FORGET THE UNITS!
Answers
Answer:
64 ounces of soda
Step-by-step explanation:
for every 8 ounces you need 32 ounces of soda and 16 would be two servings of fruit juice so I multiplied 32 by 2 and got 64
1
1
1
4
2
4
2
2
3
9
343
4 16
4
1
B
D
y
ху
1 12
1 3
2
1
25
3 3/2
37
4
2
9
Which table shows y as DIRECTLY PROPORTIONAL tox?
0
A)
A
B)
B
D
D
D
Answers
Answer:
what are you trying to do or say
3x[9-(4+2)divide by 2
Answers
Answer:
4.5 or 9/2 using bodmas ruke
Please help me with this assignment!
Answers
Answer:
Since potential vice presidents are chosen before the election occurs, they are often selected partially due to their potential effect on the election. Presidential candidates often choose running mates who can capture key demographics or who have a high level of experience in an area that voters regard as important.
Step-by-step explanation:
What is equivalent to 3^-5
Answers
Answer:
The answer is the choose: (D)
[tex] {3}^{ - 5} = \frac{1}{ {3}^{5} } [/tex]
Fred has a jug that contains
750 milliliters of milk. How many
liters of milk are in the jug?
Answers
Answer:
.75 liters
Step-by-step explanation:
add a decimal point at the end of 750 and move it 3 places to the left because mili is one thousandth of a liter
Please help
Find the Arc Length of arc b, given the radius is 5 cm.
Answers
Answer:
Arc length= 180/360 ( 2 pi × 5cm)180/360 (2 ×22/7×5cm)
18/36=1/2× 2×22/ 7 ×5cm
1×22/7×5cm
22/7×5cm
110/7
=15.715cm
The following data describes weekly gross revenue (), television advertising expenditures (), and newspaper advertising expenditures () for Showtime Movie Theaters.
Weekly Gross Revenue ($1000s) Televison Advertising ($1000s) Newspaper Advertising ($1000s)
98 5 1.5
90 2 2
95 4 1.5
92 2.5 2.5
95 3 3.3
94 3.5 2.3
94 2.5 4.2
94 3 2.5
Required:
Find an estimated regression equation relating weekdy gross revenue to television advertising expenditures and newspaper advertising expenditures (to 2 decimals).
Answers
Answer:
Hope this helps
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZZZZZZZZ
10. If 1000 cm = 1 l, find the capacity of the following water tank in litre
a) 1 = 200 cm, b = 150 cm, h = 100 cm
Answers
[tex] \large \boxed{volume = l \times b \times h}[/tex]
[tex]200 \times 150 \times 100[/tex][tex]3000000 \: \: cm {}^{3} [/tex]Through the statement above we have,
[tex] \small\mathrm{1000 \: cm³ = 1 \: \: }l[/tex][tex]\small\mathrm{1 \: cm {}^{3} = \dfrac{1}{1000} \: }l[/tex][tex] \small\mathrm{3000000 \: cm {}^{3} = 3000000 \times \dfrac{1}{1000} \: }l[/tex][tex] \small\mathrm{3000000 \: cm {}^{3} = 3000000 \times \dfrac{1}{1000} \: }l[/tex][tex]\small\mathrm{ 3000 \: \: litres}[/tex]_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
what property is occurring in the following example? 11.5 + (- 11.5) = 0
A- Commutative
B- Associative
C- Addictive Inverse
D- Distributive Property
PLEASE I NEED ANSWERS!!
Answers
Answer: A property occurring in the example 11.5 + (-11.5) = 0, is additive inverse.
Step-by-step explanation:
A property where sum of any number and its inverse is equal to zero is called additive inverse property.
For example, 11.5 + (-11.5) = 0
Here, 11.5 is the number and its inverse is (-11.5). The sum of both these is equal to zero. Hence, it shows a property of additive inverse.
Thus, we can conclude that property occurring in the example 11.5 + (-11.5) = 0, is additive inverse.
Please help me :( I feel worthless because of math
Answers
Answer:
I think 262 is the right answer.
Step-by-step explanation:
Don't feel worthless because of math! Math is a diffcult to understand subject, and a real pain in the butt.
At the city Museum child admission is $6.40 in adult admission is $9.70 on Sunday 149 tickets were sold for a total sales of $1145 how many adult tickets were sold that day
Answers
Answer:
Adult=58
Step-by-step explanation:
c=child, a=adult
6.4c+9.7a=1145 equation 1
c+a=149 equation 2
a=149-c modified equation 2 to isolate a
6.4c+9.7(149-c)=1145 substitute value of a from equation 1 into equation 2
6.4c+1445.3-9.7c=1145
-3.3c=-300.3
c=91
solve for a
c+a=149
91+a=149
a=58
Check answer:
6.4c+9.7a=1145
6.4(91)+9.7(58)=1145
582.40+562.60=1145
1145=1145
Use words to explain how to multiply (3^3) (3^4).
Pls help
Answers
Answer:
9^7
Step-by-step explanation:
Multiple the two 3's and get 9 then when you multiply exponents you add them and get 7
Suppose that documentation lists the average sales price of a single-family home in the metropolitan Dallas/Ft. Worth/Irving, Texas, area as $213,200. The average home price in Orlando, Florida, is listed as $198,000. The mean of a random sample of 43 homes in the Texas metroplex was $217,800 with a population standard deviation of $30,300. In the Orlando, Florida, area a sample of 35 homes had a mean price of $204,700 with a population standard deviation of $33,800. At the 0.05 level of significance, can it be concluded that the mean price in Dallas exceeds the mean price in Orlando
Answers
Answer:
"0.0373" seems to be the appropriate solution.
Step-by-step explanation:
The given values are:
n₁ = 43
n₂ = 35
[tex]\bar{x_1}=217800[/tex]
[tex]\bar{x_2}=204700[/tex]
[tex]\sigma_1=30300[/tex]
[tex]\sigma_2=33800[/tex]
Now,
The test statistic will be:
⇒ [tex]Z=\frac{\bar{x_1}-\bar{x_2}}\sqrt{\frac{\sigma_1^2}{n_1} +\frac{\sigma_2^2}{n_2} }[/tex]
On substituting the given values in the above formula, we get
⇒ [tex]=\frac{217800-204400}{\sqrt{\frac{(30300)^2}{43} +\frac{(33800)^2}{35} } }[/tex]
⇒ [tex]=\frac{217800-204400}{\sqrt{\frac{918090000}{43} +\frac{1142440000}{35} } }[/tex]
⇒ [tex]=\frac{13400}{7347.93}[/tex]
⇒ [tex]=1.7828[/tex]
then,
P-value will be:
= [tex]P(Z>1.7828)[/tex]
= [tex]0.0373[/tex]
2 5/6 times 8 as a mixed number.
Answers
Answer:
lets make it an improper fraction:
17/6 x 8/1(consider 8 over 1) = 22 2/3
Simplify first though
17 x 8 divide by 2 = 4
_____
6 divide by 2 = 3 (8 and 6 are divisible by 2)
Your new simplified multiplication:
17 x 4
_____ then you can do your multiplication across.
3
WILL
GIVE
BRAINLIST
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Answers
Answer:
1/6
Step-by-step explanation:
Given the following data;
A single fair die = 6
To find an outcome of A5;
Since the die was tossed just once, the outcome would be a fraction of the total number of outcomes.
P(A5) = number of times tossed/total number of outcomes
P(A5) = 1/6
compute the value of the discriminant and give the number of real solutions of the quadratic equation
Answers
mag aral ng mabuti para may alm
Step-by-step explanation:
yan ang answer
The segment below is dilated by a scale factor of 5 to form N'O'. What is the
measure of N'O'?
Answers
Answer:
N'O' = 25
Step-by-step explanation:
N'O' = 5 × NO = 5 × 5 = 25
Please, show some work
Answers
I can not see the photo
9514 1404 393
Answer:
A. x -4y
Step-by-step explanation:
The first expression factors as ...
= 2x(x -4y)
The second expression factors as ...
= 3x^2(x -4y)
Factors that are common between these factorizations are ...
x, (x -4y)
Of these, the one on your list of choices is ...
x -4y
Pwease help this is very important I will give you brain thing if its correct ♡
Answers
Answer:
1. x-8
2. I dont know sorry
Step-by-step explanation:
Answer:
1. 8 - x
The answer is 8 - x because the plant is 8 inches tall total this week, and to get how many it grew you would subtract it's height last week from 8.
2. The other expression, x - 8, could show how much a plant wilted, if it did. If the height went down, subtracting 8 from x could show how much the plant wilted.
Step-by-step explanation:
:-) hope this helps!
Work out the mean for the data set below: 5, 6 Give your answer as a decimal.
Answers
Answer:
5.5
Step-by-step explanation:
5 + 6 =
11 / 2 =
5.5
A billing company that collects bills for doctors' offices in the area is concerned that the percentage of bills being paid by medical insurance has risen. Historically, that percentage has been 31%. An examination of 8,606 recent, randomly selected bills reveals that 32% of these bills are being paid by medical insurance. Is there evidence of a change in the percent of bills being paid by medical insurance
Answers
Answer:
Following are the responses to the given question:
Step-by-step explanation:
[tex]H_o : p =0.31\\\\H_a: p \neq 0.31\\\\n = 8606 \\\\ p^ = 0.32[/tex]
[tex]TS = \frac{(p^ - p)}{\sqrt{(\frac{pq}{n})}}[/tex]
[tex]= \frac{(0.32-0.31)}{\sqrt{(\frac{0.31\times 0.69}{8368})}}\\\\=\frac{0.01}{5.4}\\\\=0.00185\\\\[/tex]
Write an inequality for the graph
Answers
A closed circle means the inequality will be greater than (>) or less than (<)
An arrow pointing right to increasingly positive values means the inequality is getting greater (> or ≥)
A narrowing pointing left to increasingly negative values means the inequality is getting lesser (< or ≤)
So for this graph with an open circle and rightward pointing arrow, “x” will be some number on the number line greater than the first point of -38:
x > -38
Which expression is shown on the number line?
Answers
Answer: i think its e
Step-by-step explanation:......
Answer:
no.A 5/3÷×1/3 is the answer
Perform the indicated operation. -6 + 6
Answers
Answer:
0
Step-by-step explanation:
It is zero, since -6+6 is bassicly 6-6 which is 0
Suppose that A, B, C, D, and E are matrices with the following sizes:
A B C D E
(4x 1) (4 x 1) (1 x 2) (2 x 1) (1 x 4)
Determine whether the matrix expression E (3B + A) is defined. Matrix is defined Enter the size of the resulting matrix (enter 'NA in each box if undefined).
E (3B + A) is a 3 X 3.
Answers
Answer:
The expression E (3B + A) is defined. The size of the resulting matrix is (1 x 1).
Step-by-step explanation:
Let's consider the following operations between matrices.
E (3B + A)
B is a matrix of (4 x 1), that is, it has 4 rows and 1 column. Let F = 3B. This is the product of a scalar by a matrix, which results in a matrix of the same size as the original. Then, F is a matrix of (4 x 1).
Now, let's consider the sum F + A, which we well call G. We can sum F and A because they are of the same size and we will get G, a matrix of the same size, (4 x 1).
Finally, we have the product E . G. We can multiply 2 matrices of sizes (m x k) and (k x n), that is, the number of columns of the first matrix must be equal to the number of rows of the second matrix, and the resulting matrix has a size (m x n). This is the case because E is (1 x 4) and G is (4 x 1), and the resulting matrix will be (1 x 1).
5 fractions with denominator of 1 between 0 and 1/14
Answers
Answer:
Are there options to choose from?
Step-by-step explanation:
pls help and stay tuned bcs their will be more questions bcs i just not that smart
._.
Answers
Answer:
I beileve it is Y.
Step-by-step explanation: