Answer:
61 meters
Step-by-step explanation:
The perimeter of a rectangle is 2l + 2w, l being the length and w being the width. Substitute the known value into the equation and solve:
312 = 2(95) + 2w
312 = 190 + 2w
122 = 2w
w = 61
A prime number is an integer greater than 1 with exactly two different positive factors, 1 and the number itself. There are three children in a family. Each of their ages is a prime number. The sum of their ages is 41 and at least two of the children have ages that differ by 16. Determine all possibilities for the ages of the children.
Answer:
Hence,
a=19,b=19,c=3
a=11,b=7,c=23
Step-by-step explanation:
[tex]Let\ their\ ages\ be\ a,b\ and\ c\ respectively, where\ a,b,c\ are\ primes\\Hence,\\a+b+c=41\\b-c=16\\Listing\ out\ all\ the\ primes\ from\ 0\ to\ 41\ we\ get:\\2,3,5,7,11,13,17,19,23,29,31,37,\\Hence,\\Lets\ seperate\ out\ the\ primes\ who\ differ\ by\ 16 :\\3\ and\ 19, 7\ and\ 23\ ,[/tex]
Hence,
[tex]Lets\ consider\ this\ set\ as\ b,c:\\Hence,\\To\ find\ a \\a=41-(b+c)\\Hence, By\ doing\ this\ indiviually\ we\ get:\\[/tex]
[tex]a=41-(19+3)\\a=41-22\\a=19\\Hence, a=19,b=19,c=3[/tex]
[tex]a=41-(23+7)\\a=41-30\\a=11\\Hence, a=11,b=7,c=23[/tex]
Find the product.
(v - 7su^2) (v + su^2)
Enter the correct answer.
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Reminder :
[tex](x + a)(x + b) = {x}^{2} + (a + b)x + (a \times b) \\ [/tex]
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[tex] {v}^{2} + ( - 7s {u}^{2} + s {u}^{2})v +( ( - 7s {u}^{2})(s {u}^{2} )) = \\ [/tex]
[tex] {v}^{2} - 6s {u}^{2} v - 7 {s}^{2} {u}^{4} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
v² - 6su²v - 7s²[tex]u^{4}[/tex]
Step-by-step explanation:
Each term in the second factor is multiplied by each term in the first factor, that is
= v(v + su²) - 7su²(v + su²) ← distribute both parenthesis
= v² + su²v - 7su²v - 7s²[tex]u^{4}[/tex] ← collect like terms
= v² - 6su²v - 7s²[tex]u^{4}[/tex]
(EASY) I WILL MARK THE BRAINLYEST !!!
so, these problems are currently my last two problems. There were two rude people that answered them and didn't actually give me an answer and responded with "no". Can you guys please help me? These are the only two questions giving me problems at the moment. Thank you for taking the time to help me.
1) |5x+5|+22>57
solve for both absolute values
( it would help if you could include how to graph it on a number line as well as the interbal notation )
2) I= prt
solve for I
Answer:
-8>x>6
Step-by-step explanation:
I 5x+5I +22> 57subtract 22 on both sides
I5x+5I >35
SPLIT
5x+5>35 5x+5< -35 ( flip sign and 35 negative)
5x>30 5x< -40
x>6 x< -8
Draw a number line Write zero in the middle
From zero count to the left until- 8 make an open circle because- 8 is not included From -8 draw an arrow to the left (because x is less than -8)
From zero count to the right until 6 Make an open circle bc 6 is not included. From 6 draw an arrow to the right (because x is more than 6)
PART 2 is not already solved?
If you need to solve fot t
Divide both parts by pr
t= (l/ pr)
Find three consecutive integers where the sum of the first and the twice second is 5.
Answer:
1,2, and 3
Step-by-step explanation:
1+ (2*2) is equal to 5, so it has to be 1 and 2, and you can figure out that 3 goes after that.
The sum of two numbers is 100, The difference between the two numbers is 95
workout the two numbers
Answer:
Let the numbers be x and y
x+y=100
x-y=95
taking x-y=95
x=95+y
x+y=100
95 + y +y = 100
2y=100-95
y=5/2
y=2.5
x=95+y
x=95+2.5
x= 97.5
Hope it helps...............
The two numbers are 97.5 and 2.5.
What is Addition and Subtraction?Subtraction is the process of taking out certain value from a given amount of number.
The process of subtraction can also be termed as finding difference.
Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.
The process of doing addition is also called as finding the sum.
Let x and y be the two numbers.
The sum is 100 and the difference is 95.
x + y = 100 ⇒ x = 100 - y
x - y = 95
Substituting x = 100 - y in the second equation,
100 - y - y = 95
100 - 2y = 95
2y = 100 - 95
2y = 5
y = 5/2 = 2.5
x = 100 - y = 100 - 2.5 = 97.5
Hence the numbers are 97.5 and 2.5.
Learn more about Addition and Subtraction here :
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NEED HELP ASAP!!!! please! 25 points!
Answer: 2-4= -2
Step-by-step explanation: hope it helps
Answer: (0 + 2) + ( 2 - 4)
Step-by-step explanation:
If z = 13 - 71, what is the value of z?
BE
O 6
O 2/30
218
O 20
Answer:
z=-58 bc 13-71= -58
Step-by-step explanation:
A submarine is at a depth of 100 feet below sea level. Then it starts to dive at a rate of 50 feet per minute. What is the slope? I will give brainliest and help you ☻
Answer:
Independent variable: Time in minutes
Dependent variable: The elevation in feet
Slope: -50
Y-Intercept: -100
Step-by-step explanation:
Just did the assignment
Struggling with this problem need help badly
Answer:
Step-by-step explanation:
Please help me with this question
Answer:
Step-by-step explanation:
(a). SR = 15√2 km ≈ 21.2 km
R is 21.2 km due South-East of S
(b). RQ² = 35² + 15² ⇒ RQ = 5√14 km ≈ 38.1 km
R is 38.1 km due South-West of Q
51×59 evaluate and answer
evaluate 68 x 71 mentally.
Answer:
4828 = 68 x 71
Step-by-step explanation:
how I looking at it all I did was multiply
Answer:
4828
Step-by-step explanation:
68x71=4828
The cost to manufacture calculators is represented by the function (). The correct explanation of the statement (17)=225 is:
225 calculators cost $17
3,825 calculators cost $225
17 calculators cost $13.24
17 calculators cost $225
Answer:
225 Calculators cost $17
Step-by-step explanation:
Since the Function () is Representing the cost, it is logical 17 dollars is the cost, and the 225 is the number of calculators.
Use inverse operations to solve: x + 3.2 = 7
Answer:
x=3.8
Step-by-step explanation:
You would use the inverse operation by subtracting 3.2 from both sides of the equation, leaving you with x=3.8
Round -5 1/2 to the nearest whole number
Answer:
dear explain your question briefly
Step-by-step explanation:
We will try to explain you
The round off -5 1/2 to whole number is -6.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
Fraction: -5 1/2
Now, converting it to the decimal
= -11/2
= -5.5
now, rounding off to whole -5.5 will lie between -5 and -6.
Hence, the whole number round off for - 1/2 is -6.
Learn more about Fraction here:
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pls help me in this
[tex]A=\frac{3\sqrt{3}}{2}(8)^2=\boxed{96\sqrt{3} \text{ cm}^2}[/tex]
This week, 957 people went to the beach. Last week, 1,207 people went to the beach. The number of people who went to the beach fell by what percent? Use pencil and paper. Explain how you know whether the answer is greater than or less than 25%
Answer:
Less than 25%
Step-by-step explanation:
1. Find the difference of the two numbers: 1,207 - 957 = 250
decrease = original number - new number
2. Then, divide the decrease by the original number
250/1,207 = 0.207
3. Multiply the answer by 100 to get the percentage
0.207 x 100 = 20.7%
Therefore, the number of people fell by 20.7%
Hence, the answer is less than 25%
Step-by-step explanation:
What is the conjugate of the denominator (5 – V2)?
Answer:
5 + [tex]\sqrt{2}[/tex]
Step-by-step explanation:
Given a ± [tex]\sqrt{b}[/tex] , then the conjugate is
a ∓ [tex]\sqrt{b}[/tex]
Given
5 - [tex]\sqrt{2}[/tex] , then the conjugate is 5 + [tex]\sqrt{2}[/tex]
At a grand-opening sale, 20% of the first 500 customers won a prize. How many of the first 500 customers won a prize ?
Answer:
100
Step-by-step explanation:
30 points!!
Find the missing term to make each statement true
1. 18e + __ = 12e
2. __ - (-21x) = 21x
3. 90z + __ = 80z
Answer:
1. 18e + (-6e) = 12e
2. 0x - (-21x) = 21x
3. 90z + (-10z) = 80z
1. 18e + (-6e) = 12e
2. 0x - (-21x) = 21x
3. 90z + (-10z) = 80z
PLZZZZ HELPPPP THIS IS A TIMED TESTTT!!
DEFG has been dilated to D’E’F’G’. Use a pair of corresponding sides to determine the scale factor.
Answer:
2/3
Step-by-step explanation:
DEFG ~ D'E'F'G'
[tex]\frac{D'G'}{DG}[/tex] = [tex]\frac{2}{3}[/tex]
so, these problems are currently my last two problems. There were two rude people that answered them and didn't actually give me an answer and responded with "no". Can you guys please help me? These are the only two questions giving me problems at the moment. Thank you for taking the time to help me.
1) |5x+5|+22>57
solve for both absolute values
( it would help if you could include how to graph it on a number line as well as the interbal notation )
2) I= prt
solve for I
Answer:
Step-by-step explanation:
Answer:
k
Step-by-step explanation:
Para preparar una limonada usé litro de jugo de limón natural. Además, utilicé litros de agua. ¿Cuántos litros de líquido utilicé para hacer la limonada?
Answer:
Falta la cantidad de litros de agua utilizados para hacer limonada, e.g. si utilizaste 1 litro de jugo de limon y 3 litros de agua, utilizaste 4 litros de liquido en total. Si utilizaste 1 litro de jugo de limon y 5 litros de agua, utilizaste 6 litros de liquido en total.
Para encontrar la solucion al problema todo lo que tienes que hacer es sumar 1 litro de jugo de limon mas la cantidad de litros de agua que hayan sido utilizados. Tanto el jugo de limon como el agua se miden en litros.
An artist will use isometric transformations of square LMNO to create a symmetrical design with contrasting colors.
Which statement is true?
If LMNO is reflected over the y-axis, the small center square in the image will have a lesser area.
It LMNO is reflected over the x-axis, the small center square in the image will have the same area.
If LMNO is rotated 180° counterclockwise about point O, the small center square in the image will have a lesser area.
If LMNO is rotated 180° counterclockwise about point O, the small center square in the image will have a greater area.
Answer:
The Answer is B: It LMNO is reflected over the x-axis, the small center square in the image will have the same area.
Step-by-step explanation:
The other answers state that the canter square will change size when reflection doesn't do that. Reflection keeps the size and shape of the object. It only changes the positioning.
I hope this helps. Brainliest would be nice to.
Answer:
The Answer is B: It LMNO is reflected over the x-axis, the small center square in the image will have the same area.
Step-by-step explanation:
A student says that the graph of the equation y = 3(x + 8) is the same as the graph of y = 3x, only translated upwards by 8 units. Do you agree? Why or why not?
A.S.A.P. I HAVE TO TURN THIS IN AT 10:30 HURRY PLEASE :)
Given:
A student says that the graph of the equation [tex]y = 3(x + 8)[/tex] is the same as the graph of [tex]y = 3x[/tex], only translated upwards by 8 units.
To find:
Whether the student is correct or not.
Solution:
Initial equation is
[tex]y=3x[/tex]
[tex]f(x)=3x[/tex]
Equation of after transformation is
[tex]y=3(x+8)[/tex]
[tex]g(x)=3(x+8)[/tex]
Now,
[tex]g(x)=f(x+8)[/tex] ...(i)
The translation is defined as
[tex]g(x)=f(x+a)+b[/tex] ...(ii)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
From (i) and (ii), we get
[tex]a=8\text{ and }b=0[/tex]
Therefore, the graph of [tex]y=3x[/tex] translated left by 8 units. Hence, the student is wrong.
1. It takes 17 minutes
to ride 6 1\4 miles on a
bike. How many miles
can Peter ride in 1 hour?
Answer:
21.6
Step-by-step explanation:
I think
16) tan Ø
7C
6
Y
3
A)
B) -2
3
C)
داد
D)1
2
Answer:
:O
Step-by-step explanation:
What is the decimal equivalent of
7/8
?
A. 0.780
B. 0.870
C. 0.875
D. 0.885
6x + 21y = 103
-6x + 23y = 51
What is the image of (-3,9) after a reflection over the y = x?
Answer:
(9,-3)
Step-by-step explanation: