Answers
: 2(2x-7)+2(4x+3)=112
Step-by-step explanation:
Answer: Third Choice. 112 = 2 (2x - 7) + 2 (4x + 3)
Concept:
Here, we need to know how to find the perimeter of a rectangle.
Perimeter (rectangle) = 2l + 2w
l = length
w = width
Solve:
Given information
l = 2x - 7
w = 4x + 3
Perimeter = 112 cm
Given expression
Perimeter = 2l + 2w
Substitute values into the expression
[tex]\boxed{112 = 2 (2x - 7) + 2 (4x + 3)}[/tex]
Expand parentheses
112 = 4x - 14 + 8x + 6
Combine like terms
112 = (4x + 8x) + (6 - 14)
112 = 12x - 8
Add 8 on both sides
112 + 8 - 12x - 8 + 8
120 = 12x
Divide 12 on both sides
120 / 12 = 12x / 12
[tex]\boxed{x=10}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Related Questions
Find the greatest number of students for whom 30 apples, 45pears and 60 oranges can be equally distributed. Find the shares of each item.
Answers
Answer: The greatest number of students for whom 30 apples, 45 pears and 60 oranges can be distributed equally is 15.
Step-by-step explanation:
taking HCF
so
HCF of 30,45,60
30 = 2*5*3
45 = 3*3*5
60=3*2*2*5
HCF = 3*5 = 15
so
1 student will get = 30/15 = 2 apples
1 student will get = 45/15 = 3 pears
1 student will get = 60/15 = 4 oranges
eighteen divided by the sum of two and seven
Answers
Answer:
2
Step-by-step explanation:
18/(2+7)=18/9=2
18/2+7
18/9
2
The greater of two numbers is 6 more than 4 times the smaller. Their sum is 41. FInd the numbers.
Answers
Answer:
7 and 34
Step-by-step explanation:
let x and y be the 2 numbers with x > y
The 2 equations to solve are
x = 4y + 6 → (1)
x + y = 41 → (2)
Substitute x = 4y + 6 into (2)
4y + 6 + y = 41 , that is
5y + 6 = 41 ( subtract 6 from both sides )
5y = 35 ( divide both sides by 5 )
y = 7
Substitute y = 7 into (1)
x = 4(7) + 6 = 28 + 6 = 34
The 2 numbers are 7 and 34
Please help me with 23
Solve for d
Answers
Answer: 72 degrees, if I read the question correctly.
Step-by-step explanation: The sum of all the angles in a complete circle is 360 degrees. Angles oppor=site each other are equal, so we have two angles of 95 degrees each, for a total of 190. That leaves 170 for the other two angles, which are also equal, So they must 85 each. If I read the diagram correctly, it assigned this angle equal to d + 13, I have no clue why, but if so:
d + 13 = 85
d = 72 degrees
Between 8.5% and 9.4% of the city's population uses the municipal transit system daily. According to the latest census, the city's population is 785,000. How many people use the transit system daily?
Answers
Given:
City's population= 785,000.
Calculating of city's population:
[tex]\to \bold{785000 \cdot 8.5 \% = 785000 \cdot \frac{8.5}{100}=785000 \cdot \frac{\frac{85}{10}}{100}}[/tex]
Calculating the complex fraction:
[tex]\to \bold{\frac{\frac{85}{10}}{100}, \text{write as 100 like} \ \frac{100}{1}}[/tex]
[tex]\to \bold{785000 \cdot \frac{ \frac{85}{10}}{100}=785000 \cdot \frac{\frac{85}{10}}{\frac{100}{1}}=785000 \cdot \frac{85}{1000}=66725}[/tex]
Therefore, [tex]\bold{8.5\% \ of\ 785000\ is\ {66725}}[/tex]
Calculating [tex]\bold{9.4\%}[/tex] of the city's population:
[tex]\to \bold{9.4\% (\frac{9.4}{100})}:\\\\\to \bold{785000 \cdot 9.4\% = 785000 \cdot \frac{9.4}{100}=785000 \cdot \frac{\frac{64}{10}}{100}}[/tex]
Calculating the complex fraction:
[tex]\to \bold{ \frac{\frac{94}{10}}{100}\ \text{write 100 as} \ \frac{100}{1}}\\\\\to \bold{785000 \cdot \frac{\frac{94}{10}}{100}=785000 \cdot \frac{\frac{94}{10}}{\frac{100}{1}}=785000 \cdot \frac{94}{1000}=73790}\\\\[/tex]
Therefore, [tex]\bold{9.4\%\ of\ 785000\ is\ {73790}}[/tex]
So, the final answer is "Between 66725 and 73790 people use the transit system daily".
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Segment AB is a line segment on a number line. Endpoint A is at –18, and the midpoint is at -6.
Determine the coordinate of endpoint B.
Coordinate of endpoint B
Answers
The morning temperature was at 23.5° F. Later that evening the temperature had dropped to 15.6° F. What was the change in temperature?
According to Jake the temperature had a change of -7.9° F.
Is Jake’s answer a true of false statement? Please explain your reasoning for your answer.
Answers
Answer:
Jake's answer is true; the change in temperature is -7.9° F.
Step-by-step explanation:
The change in temperature is the final value minus the initial value. Evening minus the morning.
The final value is 15.6° F, the initial value is 23.5° F.
So 15.6 - 23.5 = -7.9
Jake's answer is true.
I need help with maths lol
Answers
Answer:
Step-by-step explanation:
To get equivalent expressions, if you are adding or subtracting, the number and letter you get on the left must be the same as the one on the right.
In B. The answer is incorrect because 4t is minus on the left. The letters are different, so 4t must remain minus. Not B
In C the numbers will combine when you add. If they are the same,, they remain the same. They do not become powers the answer for C is 10s. So C is not correct.
In D you are indicating that 6 is multiplied by 4s. You can only multiply 6 and 4. They don't add. Not D
A is correct.
If there are 16 boys and 32 girls in a room, fill out all of the possible ratios of boys to girls that could be made. They already used 16:32 as an example
Answers
Answer: 8:16
Step-by-step explanation:
Ratios are like fractions, you can DIVIDE, so...
16 divided by 2 is 8
32 divided by 2 is 16
So there you have it!
4. Rosa says, “Integers are
whole numbers and their
opposites.” She's correct.
Find the opposites of these
integers: 12, 29
Their opposites are
-12 and -29.
torso panel
Their opposites are
1
and 1.
12 29
torso panel
Answers
Answer:
-12,-29Step-by-step explanation:
if it is on a numbering . then write the inverse of the number given eg.1 = -1,2 = -2 etc.
please help, will mark brainliest !
Answers
Answer:
the last one
Step-by-step explanation:
PLEASE HELP ASAPPPPPPPPPPP
Answers
[tex]\boxed{\boxed{\sf Area\:of\:the\:figure=10x^4-50x^3+5x^2+246x-196}}[/tex]
Refer to the attachment for calculations.
11. The rectangle has a width of 8 in, a length of x-5 in, and an area of 16 inSolve
for x. Hint: label the figure.
Answers
Answer:
X=7
Step-by-step explanation:
refer to picture for explnation
Please Explain Step By Step
Answers
Answer:
its hard i don't know
Step-by-step explanation:
very bad
very very bad
very much bad
bad
Tyron made 60 cakes. He gave 20% of his cakes to Ana . And 1/6 of his cakes to Dora. What fraction of the 60 cakes does he have left?
Answers
Answer:
19/30
Step-by-step explanation:
Total cakes made by Tyron = 60
Cakes given to Ana = 20% of 60
[tex]=\dfrac{20}{100}*60\\\\= 2*6\\\\= 12 \ cakes[/tex]
Number of cakes given to Dora= [tex]\dfrac{1}{6}*60=10[/tex]
Remaining cakes = 60 - ( 12 +10)
= 60 - 22
= 38 cakes
Fraction of left cakes = [tex]\dfrac{38}{60}=\dfrac{19}{30}[/tex]
What are nudibranch? Only some of the most colorful sea creatures on Earth! These marine mollusks boast a variety of
unique shapes and colors, and they live anywhere in the world's oceans, from the tropics to Antarctica. There are many
different types of nudibranchs, some no longer than an inch, and some as long as two feet! Some use toxic appendages
to defend themselves, while others use camouflage. Some even make their own chemicals to keep predators at bay.
Why do nudibranchs have these defenses? Because they are naked! Nudibranch means "naked gills," so named for
their soft bodies and their exposed gills, which sit atop their backs. While common to the ocean, these unusual creatures
can be spotted on underwater dives.
In 2-3 sentences, summarize the information in the paragraph.
Answers
Nudibranchs are a detachment of marine gastropods, close to the snails, but without shell and with a pronounced mantle.
Their secondary cutaneous gills are soft, unprotected outgrowths of integuments of various shapes and are located on the sides or on the dorsal side of the body; some species have no gills at all. They inhabit mainly warm seas and oceans. Some species are poisonous and have a bright color. All nudibranchs are hermaphrodites. They are very picky about their food.
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can yall pls go to my other question before this one plss!!
Answers
Answer:
Ok
Step-by-step explanation:
A square sandbox has an area of 42ft to the power of 2. What is the approximate perimeter of the sandbox to the nearest hundredth?
Answers
The length of each side is then sqrt(42) feet or about 6.480741 feet.
Since a square has four sides, you’d have 4*6.480741 for the perimeter, or about 25.922964 feet.
Rounding this to the hundredths place, you’d have 25.92 feet.
What is A= 2/h (a+b) for h?
Answers
Answer:
h= 2A/a+b
Step-by-step explanation:
you know the gig
Choose the inequality that represents the following graph.
H 4
+
-4
+
2.
+
4
-5
-3
-2
-1
0
1
3
5
Choose 1 answer:
2 <-3
3 <-3
С
> -3
D
a 2-3
Answers
Answer:
B
Step-by-step explanation:
The solid circle at - 3 indicates that x can be equal to - 3
The arrow pointing left indicates the values of x are less than - 3
Then
x ≤ - 3 → B
what is the answer and the remainder for the problem
76,000 divided by 816
I NEED ANSWER ASAP PLEASE I BEG OF YOU
Answers
the remainder is 137
Answer:76000 divided by 816 equals
93 with a remainder of 112
Step-by-step explanation: 0 0 0 9 3
8 1 6 7 6 0 0 0
− 0
7 6
− 0
7 6 0
− 0
7 6 0 0
− 7 3 4 4
2 5 6 0
− 2 4 4 8
1 1 2
What is the first step to solving the division problem below?
6288 divided by 8
Answers
Answer:
devide it by 2 three times
Step-by-step explanation:
6288/2=3144
3144/2=1572
1572/2=786
i think that's the easiest way to do it
Can someone please explain to me how we do this please...
Answers
Answer:
(7/8, 0)
Step-by-step explanation:
The formula to find the midpoint is (x1+x2/2, y1+y2/2).
(5.5-3.75/2, 2.25-2.25/2)
(1.75/2, 0/2)
(0.875, 0)
(7/8, 0)
Best of Luck!
Find the area of 12.5 cm and 5 cm
Answers
Answer:
62.5
Step-by-step explanation:
l*w = a
12.5*5 = 62.5
the area of a rectangle is its width times its height
simplify (x+3)^2 -3 (2x+3)
Answers
Answer:
x^2.
Step-by-step explanation:
(x+3)^2 -3 (2x+3)
= (x + 3)(x + 3) - 3(2x + 3)
= x^2 + 3x + 3x + 9 - 6x - 9
= x^2 + 6x + 9 - 6x - 9
= x^2 + 6x - 6x + 9 - 9 Simplify like terms:
= x^2.
If some could please help me with this that would be great.
Answers
Answer:
I can't really see anything in here could you make the photo up close. Please thanks, I really want to help you :)))
Step-by-step explanation:
Solve the equation-
200=16(6t-3)
Answers
Hi ;-)
200 = 16(6t - 3)
16 · 6t - 16 · 3 = 200
96t - 48 = 200 / + 48
96t = 248 / : 96
t = ²⁴⁸/₉₆ = ³¹/₁₂ = 2 ⁷/₁₂
The solution of the linear equation 200 = 16 (6t - 3) will be 2.58.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given below.
200 = 16 (6t - 3)
Simplify the equation, then the value of the variable t will be
200 = 16 (6t - 3)
12.5 = 6t - 3
6t = 15.5
t = 2.58
The solution of the linear equation 200 = 16 (6t - 3) will be 2.58.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
Express cos9x cos3x as a sum of two trigonometry function
Answers
Step-by-step explanation:
the answer is in the image above
If b is the midpoint of ac
Ab = 2x and ac = 5x + 8
Find bc
Answers
Answer:
3x+8
Step-by-step explanation:
2x+bc=5x+8
bc=5x-2x+8
bc=3x+8
Mrs. Magee purchased 3 ice cream cones with a $10 bill. Mrs. Magee was given $2.86 in change. What is the price of one ice cream cone?
Answers
Answer
5.56
Step-by-step explanation
The price of one ice cream cone is $2.38
The given parameters;
the money given by Mrs Magee for the 3 ice cream cones = $10the change given to Mrs Magee = $2.86The actual amount Mrs Magee purchased the 3 ice cream cones;
Total amount paid = $10 - $2.86 = $7.14
The price of one ice cream cone is calculated as follows;
[tex]Price \ of \ each = \frac{Total \ cost}{total \ number } \\\\Price \ of \ each = \frac{\$7.14}{3} = \$2.38[/tex]
Thus, the price of one ice cream cone is $2.38
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