Let length be x
ATQ
[tex]\\ \sf\longmapsto 2(Length+Width)=124[/tex]
[tex]\\ \sf\longmapsto 2(x+35)=124[/tex]
[tex]\\ \sf\longmapsto 2x+70=124[/tex]
[tex]\\ \sf\longmapsto 2x=124-70[/tex]
[tex]\\ \sf\longmapsto 2x=54[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{54}{2}[/tex]
[tex]\\ \sf\longmapsto x=27m[/tex]
Statements Reasons 1. Given 1. Given 4 2. RS + ST = PS + SQ 2. Addition Property 3. RS + ST = RT; PS + SQ = PQ 3. 4. RS=ST;RQ=ST 4. Substitution Property
Help me
6 = 1/5 (4y + 10)
Step-by-step explanation:
open the bracket
6={(1/5×4y) + 1/5×10}
6=4/5y+2
6-2=4/5y
4=4/5y
divide both sides by 4/5
y=1/5
The answer you are looking for is y=5.
Solution/Explanation:
Writing out the problem,
6=1/5(4y+10)
Using the Distributive Property,
6=4/5y+2
Subtracting 2 from both sides of the equation,
6-2=4/5y
4=4/5y
Multiplying both sides by 5, to transform the fraction into a whole number,
20=4y
Finally, dividing both sides by 4,
So, therefore the final answer is y=5.
Simplify this algebraic expression completely.
6x-4(x+3)
A. 2x+ 3
B. 2x - 12
C. 2x - 3
O D. 2x + 1
Step-by-step explanation:
6x-4(x+3)
6x-4x-12
2x-12
So, option b is correct.
I hope it helped u
stay safe stay happy
3y+7<2-y help doing a test rn please help fast
Answer:
y<-5/4
Step-by-step explanation:
3y+7<2-y
-7 on both sides
3y<-5-y
+y on both sides
4y<-5
divide by 4 on both sides
y<-5/4
Use the formula for the volume of a sphere.
Answer:
113.1 cm³
Step-by-step explanation:
we even have the formula. we only need a calculator to simply type this in.
the only "trap" here : we were given the diameter, and for the radius we need to cut that in half.
so,
r = 3
V = 4/3 × pi × r³ = 4/3 × pi × 3³ = 4/3 × pi × 27 =
= 4 × pi × 9 = 113.1 cm³
the area of a circle is 38.5 cmsq. thje circumference of the circle is
Step-by-step explanation:
Solution,
Area=38.5 cm²
by using the formula of are of a circle i.e, πr², we get
πr²= 38.5 cm², where π=22/7
r²=38.5 cm²/π
r²=12.25 cm²
r=√12.25 cm²
r=3.5 cm
Now, by using the formula of circumference of a circle i.e, 2πr, we get
2πr=2×π×3.5 cm, where π=22/7
=22 cm
So, the circumference of the circle is 22 cm.
I hope it helped U
stay safe stay happy
Answer:
The circumference is 21.9899977262 (22 if rounded).
Step-by-step explanation:
First, we need to multiply pi by the area of the circle (3.14 x 38.5). This gives us 120.89. Next, we need to find the square root of 120.89. Which gives us 10.9949988631. Now we need to mulitply 10.9949988631 b which gives us 21.9899977262. Now if you would like you can round the number. This gives us a final answer of 22.
Let me know if you have any questions.
what is Eight decreased by 3 times a number is 2
Answer:
8- 3x = 2 I think this is
Answer: The unknown number is 2.
Step-by-step explanation:
Let the number be x
8-3x = 2
or, -3x = -6
so, x = -6/-3
so, x = 2
find the value :
of x
[tex]\\ \rm\longmapsto <AEC+<CED+x=180[/tex]
[tex]\\ \rm\longmapsto 47+90+x=180[/tex]
[tex]\\ \rm\longmapsto 137+x=180[/tex]
[tex]\\ \rm\longmapsto x=180-137[/tex]
[tex]\\ \rm\longmapsto x=43[/tex]
can you please answer this question
Answer:
1/40
219/250
69/16
Step-by-step explanation:
1.
0.025=(025)/(1000)=1/40
2.
0.876=876/1000=219/250
3.
4.3125=43125/10000=1725/400=69/16
Name all the angles that have v as vertex
Step-by-step explanation:
. The vertex for angle BAC, written ∠BAC, is point A. The angle can also be named as ∠CAB or by only its vertex, ∠A. W
Solve the equation with all steps.
3/2x-2/3x=2
Answer:
[tex]x = \frac{5}{12} [/tex]
Step-by-step explanation:
[tex] \frac{3}{2x} - \frac{2}{3x} [/tex]
➡️ [tex] \frac{3}{2x} - \frac{2}{3x} = 2[/tex]
➡️ [tex] \frac{5}{6x} = 2[/tex]
➡️ [tex]5 = 12x = 12x = 5[/tex]
➡️ [tex]x = \frac{5}{12} [/tex]
Answer:
x = [tex]\frac{12}{5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{3}{2}[/tex] x - [tex]\frac{2}{3}[/tex] x = 2 ( multiply through by 6 to clear the fractions )
9x - 4x = 12
5x = 12 ( divide both sides by 5 )
x = [tex]\frac{12}{5}[/tex]
Which number below comes first when the numbers are listed from least to greatest? Explain. 22 16 -3, 817, - 4.5 7 5 ... Which number comes first when the numbers are listed from least to greatest?
A. - 4.5 because it is the negative number with the greatest absolute value.
В. 16 because it is the greatest positive number. 5
C. V17 because it is the greatest positive number.
D. -3 because it is the negative number with the greatest absolute value. 22 hen click Check Answer
Answer: Choice A.
- 4.5 because it is the negative number with the greatest absolute value.
===================================================
Explanation:
Stuff to the left is smaller than stuff on the right for any number line.
For example, we can say 2 < 5 since 2 is to the left of 5.
Another example: -7 < 4
To find the smallest item of your given list, we need to look at the value that is furthest to the left. That value would be -4.5 and this value is negative with the largest absolute value (i.e. it is furthest away from 0).
Check out the number line diagram below. It shows where all of the values are placed. We can see that -4.5 is the left-most item.
what is a × 2. what is a(2)
Answer:
a × 2 means 'a' multiplied by 2
a(2) also means 'a' multiplied by 2
So both mean the same.
a × 2 means 2 times the value of variable "a".
a(2) represents a function "a" with input 2.
a × 2 means the value of variable "a" multiplied by 2. In mathematical terms, it is simply "2 times a" or "2 * a."
a(2) indicates a function notation, where "a" is a function and "2" is the input to that function.
It is not multiplication but rather a way of representing the value of the function "a" when the input is 2.
Hence, a × 2 means 2 times the value of variable "a".
a(2) represents a function "a" with input 2.
To learn more on Number system click:
https://brainly.com/question/1763119
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Ryan and Cody are selling cookie dough for a school fundraiser. Customers can buy packages of white chocolate chip cookie dough and packages of double chocolate cookie dough. Ryan sold 6 packages of white chocolate chip cookie dough and 12 packages of double chocolate cookie dough for a total of $204. Cody sold 7 packages of white chocolate chip cookie dough and 7 packages of double chocolate cookie dough for a total of $147. What is the cost each of one package of white chocolate chip cookie dough and one package of double chocolate cookie dough?
9514 1404 393
Answer:
white: $8double: $13Step-by-step explanation:
Let w and d represent the costs of white chocolate chip cookie dough and double chocolate chip cookie dough, respectively.
6w +12d = 204 . . . . . . Ryan's sale
7w +7d = 147 . . . . . . . . Cody's sale
We can divide out the common factor to put these equations into standard form:
w +2d = 34
w +d = 21
Subtracting the second of these equations from the first, we get ...
(w +2d) -(w +d) = (34) -(21)
d = 13
Using the second equation, we can find w:
w = 21 -d = 21 -13 = 8
The costs of the chocolate chip cookie dough packages are ...
white: $8
double: $13
what is the common denominator of 4/5 and 9/4
hope this helps some
Name a pair of angles that are a linear pair
Choose the correct answer below.
A.
B.
C.
D.
Answer:
a but
Step-by-step explanation:
i think a
Seven less than the product of 8 and a number equals 4
i need helpp !! ill mark brainliest !
393/1000. i think, sorry. :c
divide rs. 560/-among A,B and C in such a way that A and B are in 2:3 while B and C are in 4:5
plz help me with this answer
Answer:
128 : 192 : 240
Step-by-step explanation:
Given that
A : B = 2 : 3
That is B = 1.5A
Then in fractional form
[tex]\frac{B}{C}[/tex] = [tex]\frac{4}{5}[/tex] , so
[tex]\frac{1.5A}{C}[/tex] = [tex]\frac{4}{5}[/tex] ( cross- multiply )
4C = 7.5A ( divide both sides by 4 )
C = 1.875A = 1.875 × 2 = 3.75
The ratios of A : B : C = 2 : 3 : 3.75
Sum the parts of the ratio , 2 + 3 + 3.75 = 8.75
Divide the quantity by 8.75 to find the value of one part of the ratio
560 ÷ 8.75 = 64 , then
2 parts = 2 × 64 = 128
3 parts = 3 × 64 = 192
3.75 parts = 3.75 × 64 = 240
Then A : B : C = 128 : 192 : 240
? divided by 9> 700
like whats the answer
im confused help......
4/6 into a decimal then round to nearest hundredth full explanation
Answer:
0.67
Step-by-step explanation:
4/6 = 0.66666667
The 6 in the thousandth place is greater than 5, therefore we add 1 to the 6 that's in the hundredth place.
I hope this helps :)
A patient is receiving 1 liter of IV fluids every 8 hours. At thatrate, how much will he receive in 3 hours? *
Answer:
3/8 L
Step-by-step explanation:
Set up a ratio:
1 L/8 hrs=x L/3 hrs (same as 180 minutes)
Cross multiply to solve.
8x=3 so x=3/8 L
help me plesss
100 points
1,If(29)^2=841,then find the value of radical of 0.084?
2,the sum of two consecuative square odd intigers is 130, find the number?
#1
√0.084√(841×0.0001)√ab=√a√b
√841√0.0001√(29)²√(0.01)²29(0.01)0.29#2
Let they be x and x+2
x²+(x²+4x+4)=1302x²+4x=126x²+2x=63(x+9)(x-7)=0x+9=0 and x-7=0x=-9,7It's given that two consecutive square nos
A square no must be positive integer so -9 can't be that
x=7 onlyThe next odd no=7+2=9
The numbers are 7 and 9
compare each number in the top row of the table with the number below it describing any pattern you see complete the table with a variable expression involving n.
1 2 3 4. ... n
1 16 81 256 ... ?
Answer:
The pattern is [tex]n^{4}[/tex].
Step-by-step explanation:
[tex]1^{4}[/tex] = 1, [tex]2^{4}[/tex] = 16, [tex]3^{4}[/tex] = 81, [tex]4^{4}[/tex] = 256
So the pattern is [tex]n^{4}[/tex].
A town’s population increases at a rate of 2.3% every year. The current population is 7,500 people. Which equation models this scenario?
Answer:
7500 ( 1.023 ) ^(x)
Step-by-step explanation:
x is the number of years that go by
en un colegio hay 250 varones el 60 % son mujeres ¿cuantos estudiantes hay en total ?
me ayudan por favor
Answer: 625 estudiantes
Step-by-step explanation:
100%-60%=40% varones
40/100 = 250/x
(250*100)/40 = 625 estudiantes
A ball is thrown into the air with an upward velocity of 32 ft/s. It’s height h in feet after t seconds is given by the function h = -16t + 32t + 6 in how many seconds does the ball reach it maximum height? Round to the nearest hundredth if necessary
Answer:
gfxdg
Step-by-step explanation:
Find the equation of the line that contains the point (21,27) and is parallel to the x-axis.
Answer:
y - 27 = 0 (x - 21) or y = 27
Step-by-step explanation:
If you roll two dices, what is your probability not get 2 on both dice ?
Answer:
10/12 or 5/6
Step-by-step explanation:
So assuming each dice has 6 sides
6+6=12
12-2=10
10/12 or 5/6
Answer:
possible outcomes =1,1,2,2,3,3,4,4,5,5,6,6
probability that you don't get 2 on both dice is
10/12
=5/2
Alphonso was earning S1,860 per month
and then got a 12% raise. How much
will he make per month now?
Answer:
2,083.3
Step-by-step explanation: