Answer:
The length can be 5 and the width 10.
Step-by-step explanation:
perimeter is equal to 2L + 2W
area is equal to L * W
you get 2 equations:
30 = 2L + 2W
50 = L*W
we'll solve by substitution.
you can use either equation to solve for either variable.
we'll use the second equation to solve for L.
second equation is:
50 = L*W
divide both sides of this equation by W to get:
L = 50/W
we now have a value of L that we can substitute in the first equation which we can then use to solve for W.
the first equation is:
30 = 2L + 2W
replace L with 50/W to get:
30 = 2*(50/W) + 2W
simplify to get:
30 = 100/W + 2W
multiply both sides of this equation by W to get:
30W = 100 + 2W^2
subtract 30W from both sides of this equation to get:
2W^2 - 30W + 100 = 0
factor this equation to get:
(2W - 20) * (W - 5) = 0
solve for W to get:
W = 10 or W = 5
if W = 10, then use the equation of 50 = L*W to get L = 5
if W = 5, then use the equation of 50 = L*W to get L = 10
you have 2 possible solutions.
L = 5 and W = 10 or:
L = 10 and W = 5
both are plausible so we'll test them both out.
when L = 5 and W = 10:
the first equation becomes 2*5 + 2*10 = 10 + 20 = 30
the second equation becomes 5*10 = 50
both equations confirm that the solution of L = 5 and W = 10 is good.
when L = 10 andW = 5:
the first equation becomes 2*10 + 2*5 = 20 + 10 = 30
the second equation becomes 10*5 = 5
both equations confirm that the solution of L = 10 and W = 5 is good.
the ticket can have either:
a length of 5 and a width of 10 or:
a length of 10 and a width of 5.
since the length is usually longer than the width, you are free to choose that the ticket most likely has a length of 10 and a width of 5.
alternatively, you can simply say that the dimensions are 5 by 10 and let the recipient of that information determine which is the length and which is the width.
mathematically, the length can be 10 and the width 5 or the length can be 5 and the width 10.
a and b are natural numbers. The diameter of cell a is 2.3 , and the diameter of cell b is 2.3 .
Which is a true statement?
A. If a = 4 and b = 6, then cell a is 100 times greater than cell b.
B. If a = 4 and b = 6, then cell b is 100 times greater than cell a.
C. If a = 4 and b = 6, then cell a is 2 times greater than cell b.
D. If a = 4 and b = 6, then cell b is 2 times greater than cell a.
Answer:
I think its A
Compare the values of the two expressions using -3(-2) + 3 __3(-4)+9
Answer:
>
Step-by-step explanation:
expression 1: -3(-2) + 3 = 9
expression 2: 3(-4) + 9 = 3
Answer:
I think its number 1
Step-by-step explanation:
Jackson is throwing a pizza party. He has 6\tfrac{1}{2}6 2 1 pounds of cheese available and he needs \tfrac{1}{2} 2 1 pound of cheese to make each pizza. How many pizzas can he make?
He can make 8 pizzas because 4 x 1/2 is 8
Answer:
8
Step-by-step explanati
4 x1/2=my awnser.
Jolon used the slope-intercept form to write the equation of a line with slope 3 that passes through the point (5, –2). His work is shown below.
Step 1: Negative 2 = 3 (5) + b
Step 2: negative 2 = 15 + b
Step 3: Negative 2 + 15 = 15 + 15 + b
Step 4: Negative 13 = b
Step 5: y = 3x – 13
Analyze the steps. In which step did the Jolon make an error?
Answer:
step 3
Step-by-step explanation:
He should have subtracted 15 instead off adding 15. this would have gotten rid of the fifteen on the right side and left him with -17=b. Instead, he would have added 15 and gotten 13=30+b. That threw off the rest of the equation. The rest of the equation is wrong. b should equal -17
the slope-intercept equations should be y=3x-17
Task 1:Different ways to represent Relations. Complete the table with the different ways.
Answer:
I dont know
Step-by-step explanation:
This i dont know
PPPPPPPPLEASE HELP ME!!
Answer:
B.) -9.75 x 2
Step-by-step explanation:
Fee would be negative because it’s being taken away from the customer’s account. The 2 is just how many times it was taken away.
You can spend up to $35 on a shopping trip.
a. You want to buy a shirt that costs $14. Identify an inequality that represents the amount of money, x-
(in dollars), you will have left if you buy the shirt.
b. You notice that the shirt is on sale for 30% off. Identify the new inequality.
c. Do you have enough money to buy the shirt that is on sale and a pair of pants that costs $23? Which best explains your answer?
Answer.
What are the four key points of Dalton’s Atomic Theory?
a.
b.
c.
d.
2. In 1913, Neils Bohr proposed a new atomic model known as the _________ model, which is patterned after the solar system.
Answer:
a. all matter is made of atoms
b. atoms are indivisible and indestructible
c. atoms of given elements are identical in mass and properties
d. compounds are combination of 2> different types of atoms
2. it's called Planetary model
Answer:
1. All matter are made up of atoms, which are indivisible
2. All atoms of the same element are identical; different elements have different types of atom.
3. Atoms can neither be destroyed nor created
4. Compounds are combinations of two or more different types of atoms.
Rutherford-Bohr Model
Step-by-step explanation:
Hope this helps
please help 50 POINTS
Answer:
a)
V = lwh = 8*3*7 = 168b)
A = lw = 8*3 = 24V = Ah = 24*7 = 168plz help me with this math
Answer: -6 4/9 -3 2/9 - 8 2/9 =-17 8/9
-12.48-(-2.99)-5.62= 15.11
-19 2/9 - 4 1/9 - (-3 4/9)= -19 8/9
-353.92- (-283.56) - 131.29 = 201.65
83 1/5- 108 2/5 -(-99 1/5) = 74
Step-by-step explanation:
Find the next two numbers in a pattern?
7, - 28,112, - 448 __, __, . . .
Answer:
1,792 -7168
the pattern is to multiply by -4
Step-by-step explanation:
7 · -4 = -28
-28 · -4 = 112
112 · -4 = -448
-448 · -4 = 1,792
1,792 · -4 = -7168
Do any of u guys understand this?
Answer:
i dont
Step-by-step explanation:
can some one help me?
Answer:
Im pretty sure it's 3/8
Help Please!!!!
ty :D
Answer:
3.6
Step-by-step explanation:
33/9
what you do is divide the numerator with the denominator= 33÷9=3.6
Answer:
The choice B; 3.6
I hope I helped you^_^
Which equation is equivalent to 4(p + 8) = 2(r – 6) when solved for r?
Answer:
[tex]r=2p+22[/tex]
Step-by-step explanation:
[tex]4(p+8)=2(r-6)\\4p+32=2r-12\\4p+32+12=2r\\4p+44=2r\\\frac{4p+44}{2} =\frac{2r}{2} \\2p+22=r[/tex]
Hope this helps you
Let me know if you have any other questions :-)
The equation equivalent to 4(p + 8) = 2(r – 6) when solved for r is
r = 2p + 22.
To solve for r in the equation 4(p + 8) = 2(r – 6), follow these steps:
1. Distribute the numbers: Distribute the numbers on both sides of the equation.
[tex]\[4 \cdot p + 4 \cdot 8 = 2 \cdot r - 2 \cdot 6\][/tex]
2. Simplify: Perform the calculations on each side of the equation.
[tex]\[4p + 32 = 2r - 12\][/tex]
3. Isolate r terms: Move the terms containing r to one side of the equation by adding 12 to both sides.
[tex]\[4p + 32 + 12 = 2r\][/tex]
[tex]\[4p + 44 = 2r\][/tex]
4. Divide by 2: Divide both sides by 2 to solve for r.
[tex]\[\frac{4p + 44}{2} = r\][/tex]
[tex]\[2p + 22 = r\][/tex]
Thus, the equation 4(p + 8) = 2(r – 6) when solved for r becomes r = 2p + 22.
To know more about Equation here
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Suppose 30=a×60.
What is 30a?
Answer:
30 x2 a=2
Step-by-step explanation:30 / 60 = 2 30 x 2 = 60
Answer:
a = 0.5
Step-by-step explanation:
a=0.5 because 0.5×60=30
What is the product?
(−4)⋅(−6)⋅(−3)⋅(−5)
−360
−240
240
360
Answer:
360
Step-by-step explanation:
since there are an even amount of negative numbers the negatives are cancelled out by each other
can someone help with this pls? i don’t understand math at all
Pls pls pls pls help!
Answer:
1)
1/2 - C
1/4 - B
1/8 -D
? - A
1/2*1/4*1/8 = 1/16 of the class got an A
2) 40 lb = 840 oz
840 x* 2 1/4 = 1890 oz
Archie's dog eats 1890 oz of dog food in 2 1/4 years.
Answer:
1440 ounces
Step-by-step explanation:
80 pounds+ 10=90
90 pounds to ounces is 1440 ounces
sorry List 5 examples of positive and negative numbers around us
PLz help me and fast i wanna get this done
water drains out of the bathtub at a rate of 5 gallons in 2 1/4 minutes. how much water drains out of the tub each minute?
Answer:
[tex]2~2/9[/tex] gallons per minute
Step-by-step explanation:
If it drains at a rate of [tex]x[/tex] gallons in [tex]y[/tex] minutes, the tub drains [tex]x/y[/tex] gallons in [tex]1[/tex] minute.
We can plug in for [tex]x[/tex] and [tex]y[/tex] for this equation!
The amount it drains in one minute is [tex]5/(2~1/4)=5/(9/4)=20/9=2~2/9[/tex].
So, the answer is [tex]\boxed{2~2/9}[/tex] gallons per minute.
The quantity of water that drains out of the tub each minute is 2.23 gallons.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that water drains out of the bathtub at a rate of 5 gallons in 2¹/₄ minutes.
2¹/₄ minuts = 5 gallons
1 minute = 5 / 2¹/₄
1 minute = 5 /2.25
1 minute = 2.23 gallons
Therefore, the quantity of water that drains out of the tub each minute is 2.23 gallons.
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PPPPPPPPlease help me (20 points!!!!)
[tex]\longrightarrow{\mathfrak{\frac{-9}{6}÷\frac{3}{-2}}}[/tex]
[tex]\longrightarrow{\sf{\frac{-\cancel{9}}{\cancel{6}}\times\frac{-\cancel{2}}{\cancel{3}}}}[/tex]
[tex]\longrightarrow{\sf{\frac{3}{3}}}[/tex]
[tex]\longrightarrow{\boxed{\bf{1}}}[/tex]
Identity applied -
[tex]\star{\:\:\:\:\:\:\boxed{\bf{\frac{a}{b}÷\frac{c}{d}=\frac{a}{b}\times\frac{d}{c}}}}[/tex]
Drag the tiles with equivalent ratios into each box, two tiles have no match
Marlye posted a story on her blog. On the first day there were 80 responses and on the second day there were 180 responses. What percent is the increase, 100, of the original number of responses, 80?
a. 55%
b. 80%
c. 100%
d. 125%
100/80 = 1.25 or 125%
May someone help me with this. The question is in the picture.
Answer:
first we have to find oput how many they accepted, 60% of 10,000 is 6000. Next we have to find out how many of those 6000 will actually enroll.
to find 40% of 6000 we can first find 10% which is 600, so 600x4=2400 or 40% of 6000.
2400 will actually enroll
HELP I AM GOING TO BE ASKING QUESTIONS ALL DAY!!!!
Answer: yes, no. yes, yes
Step-by-step explanation:
Someone please answer this
Answer:
Step-by-step explanation:
11- cubic function
12- cubic function
13-
-10, -4
-5, -2
0,0
5, 2
14- straight line across x-axis on -3
can someone help with this pls? i don’t understand math at all
Line segment EF is shown on a coordinate grid:
A coordinate plane is shown. Line segment EF has endpoints negative 3 comma 2 and negative 1 comma 2.
The line segment is rotated 180 degrees counterclockwise about the origin to form E′F′. Which statement describes E′F?
Group of answer choices
E′F′ is perpendicular to EF.
E′F′ and EF are equal in length.
E′F′ is half the length of EF.
E′F′ is greater than twice the length of EF.
Answer:
E'F' and EF are equal in length.
Step-by-step explanation:
This is because it is a mirror translation over the y-axis, and the length is not changed.