Answer:
250Step-by-step explanation:
Area of the shape of the table = Length * Breadth (Rectangular in nature)
Area of the study table = 2m * 1.25m
Converting the units to cm
Since 100cm is equivalent to 1m, hence;
Area of the study table = 200cm * 125cm
Area of the study table = 25000cm²
If the study table is decorated with square design of size 10cm x 10cm, then the area of one square of such design will be 100 cm².
The number of square designs = Area of the study table/area of one square design
= 25000/100
= 250
Hence the number of such design on the study table is 250
This bag has an unknown number of lollipops and jelly snakes in it. I know that Pr (jelly snake) = 4/5. How many jelly snakes could I have in the bag, if I know I have over 10 lollies total?
Answer:
40.
Step-by-step explanation:
Let J represent jelly snake.
Let L represent lollipops
Let S represent sample space
Let y represent the number of jelly snake in the bag. I.e
Number of J = y
Number of L = 10
Number of S = 10 + y
From the question given, we were told that the probability of jelly snake P(J) is 4/5.
But probability of jelly snake, P(J) is given by:
P(J) = nJ/nS
nJ = y
nS = 10 + y
P(J) = 4/5
Thu, we can obtain the number jelly snake, y, in the bag as follow:
P(J) = nJ/nS
4/5 = y/(10 + y)
Cross multiply
5y = 4(10 + y)
Clear bracket
5y = 40 + 4y
Collect like terms
5y – 4y = 40
y = 40
Therefore, the number of jelly snake in the bag is 40
If v=5 and w=24, what is 5v+w?
Answer:
49
Step-by-step explanation
5v + w
5(5) + 24
25 + 24
49
First you have to substitute the variables with numbers given (v=5 ; w=24)
Start with multiplying 5*5 which equals 25, then finish off with adding the two numbers.
Answer:
5v+w = 5(5)+24 = 49
Step-by-step explanation:
As you can see we have two variables
v & w
And we have no coefficient to w but we do to v which is...
5
So... we must replace the variables (v & w) replacing them with the numbers you gave us, 5 for v and 24 for w.
The sentence is
5v+w= ?
If you replace v with 5 it becomes...
5(5)+w
When seeing a number & a variable or numerous variables that placed right next to each other, it means that the number and the variable(s) are to be multiplied together.
So now we have 5(5)+w meaning 5 times 5 plus the variable w
The second value you gave us is 24 which is supposed to be subbed in for w.
So... when we replace w with 24 we get...
5(5)+24
Now we evaluate the expression.
According to PEMDAS... since we have no parenthesis or exponents we do m, multiplication first. 5*5=25
We are now left with...
25+24
25 + 24 = 49.
So...
5v+w is now 5(5)+24 which is equal to...
49
Hopefully this helped you!
Have a good day!
Evaluate the expression 52 + 2x when x = 5. Choose the phrase below that describes the resulting number.
Answer:
62
Step-by-step explanation:
hope that helps! if it is an answer
The Phrase is: "The resulting number is 62."
We have the expression as
52 + 2x
Now, To evaluate the expression 52 + 2x when x = 5,
we substitute the value of x into the expression and simplify:
=52 + 2(5)
= 52 + 10
= 62.
Thus, The resulting number is 62.
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Please answer this question now
Answer:
373.66 cm².
Step-by-step explanation:
The following data were obtained from the question:
Pi (π) = 3.14
Radius (r) = 7 cm
Slant height (l) = 10 cm
Surface Area (SA) =?
The surface area of the cone can be obtained by using the following formula:
SA = πr² + πrl
SA = (3.14 × 7²) + (3.14 × 7 × 10)
SA = (3.14 × 49) + 219.8
SA = 153.86 + 219.8
SA = 373.66 cm²
Therefore, the surface area of the cone is 373.66 cm².
NEEEEDDDD ASSAAAAPPPPP NEED ANSWER NOWWWW
Answer:
w=10
Step-by-step explanation:
-2=-(w-8)
2=w-8
w=10
Question:
-2=-(w-8)
Answer:
-2=-w+8
w=8+2
w=10
Step-by-step explanation:
Rule: Multiply x by 0. Then add 7 to the result to get y
Answer:
Let's simplify step-by-step.
x(0)+7
=0+7
Combine Like Terms:
=0+7
=(0+7)
=7
Step-by-step explanation:
Answer:
y = 7
Step-by-step explanation:
x · 0 = 0
0 + 7 = 7
y = 7
A club has 16 members, included Mary and Peter. If two representative are
randomly selected from those members, find the probability that
(d) Mary or Peter is chosen.
Answer:
12.5 percent; 2/16; 1/8
Step-by-step explanation:
Peter and Mary make up 2 of the clubs members, so the probability that they are chosen is 2/16. This simplifies to 1/8, and in decimal form is .125. Therefore, the percentage form of the probability they are chosen is 12.5 percent.
PLS SIMPLIFY b3·b^−5·b^11
A) b^9
B) b^15
C) b^19
D) b^-165
Answer:
a) b⁹
Step-by-step explanation:
b³ • b⁻⁵ • b¹¹
add the exponents
b³ ⁺ ⁽⁻⁵⁾ ⁺ ¹¹
b⁹
Answer:
b^9
Step-by-step explanation:
b^3·b^−5·b^11
Since the bases are the same, and we are multiplying, we can add the exponents
b^(3+-5+11)
b^9
Which graph shows a linear function?
Answer:
the bottom
Step-by-step explanation:
Answer: the second one
Step-by-step explanation:
A tank contains 15,000 L of brine with 24 kg of dissolved salt. Pure water enters the tank at a rate of 150 L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate.How much salt is in the tank after t minutes
Answer:
Step-by-step explanation:
Let y(t) be the amount of salt in the tank after time t.
(A) Incoming rate = 0 (due to Pure water having no salt)
(B) Mixed solution comes out at 150 L/min. Initially the tank has 15,000 L of brine with 24 kg of salt.
concentration of salt at time t = y(t) / 15000 kg/L
Outgoing rate = y(t)/15000 * 150 = y(t) / 100
(C) we know that,
[tex]\frac{dy}{dx} =(incoming\ rate) - (outgoing\ rate)[/tex]
[tex]\frac{dy}{dx} =0-\frac{y(t)}{100} = \frac{-y(t)}{100}[/tex]
Separate variable and integrate
[tex]\int {\frac{dy}{y} } = - \int {\frac{1}{100} } \, dt[/tex]
[tex]ln|y|=-\frac{1}{100}t + D[/tex]
[tex]y=e^{D} e^{\frac{-t}{100} }[/tex]
[tex]y= Ce^{\frac{-t}{100} }\ [C=e^{D} ][/tex]
At t= 0 , y(0) = 24 kg
[tex]24=C\ e^{0}[/tex]
C= 24
(D) Therefore, the amount of salt in the tank after time t :
[tex]y(t)=24e^{\frac{-t}{100} }\ kg[/tex]
Mummy shade has three children one is Ade, the one second is sumbo. WHAT IS THE NAME OF THE THIRD ONE
just to think wisely about it.
Answer:
Shade
Step-by-step explanation:
she's called Mummy shade, so I think her other child's name is shade
Answer:
Shade
Step-by-step explanation:Her name is Mummy shade
Probability ~
The probability of selecting a white chocolate from a box is 1/5 and the probability of selecting a dark chocolate from the same box is 1/3. The other chocolates are milk chocolates.
A. Find the probability of selecting a milk chocolate.
B. How many chocolates in total could be in the box? Give reasons. Is there more than one answer?
A.
A - selecting a milk chocolate
[tex]P(A)=1-\dfrac{1}{5}-\dfrac{1}{3}=\dfrac{15}{15}-\dfrac{3}{15}-\dfrac{5}{15}=\dfrac{7}{15}[/tex]
B.
The number of the chocolates must be a multiple of 15, so there can be 15,30,45,... etc. chocolates in the box.
-19+[27-{14+(5-2)×4÷2
EXAMPLE QUESTION+ANSWER;-
16 - [5 - 2 { 14 of 2 - (8/4 * 2 - 1 + 3 } ]
= 16 - [5 - 2 { 14 of 2 - (2 * 2 - 1 + 3 } ]
= 16 - [5 - 2 { 14 of 2 - (4 - 1 + 3 } ]
= 16 - [5 - 2 { 14 of 2 - (3 + 3 } ]
= 16 - [5 - 2 { 14 of 2 - 6} ]
= 16 - [5 - 2 { 28 - 6} ]
= 16 - [5 - 2 {22} ]
= 16 - [5 - 44]
= 16 + 30
= 55
Answer: 55
reduce 63/72 to its lowest terms
Answer:
7/8
Step-by-step explanation:
63 ÷ 9/72 ÷ 9
= 7/8
Answer:
7/8
Step-by-step explanation:
63/9 = 7
72/9 = 8
then:
63/72 = 7/8
1/2x+1/3y=2
1/3x+1/2y=13/6 (x is not equal to 0, y is not equal to 0)
by substitution method,
step by step
Answer:
x=2
y=3
Step-by-step explanation:
x/2+y/3=2 so
3x/6+2y/6=12/6
then multiply by 6
3x+2y=12
equation number 2
x/3+y/2=13/6
2x/6+3y/6=13/6
multiply by 6
2x+3y=13
so the system is now
3x+2y=12
2x+3y=13
from the first equation 2y=12-3x, y=6 - 3x/2
then put y in the second equation
2x+3*(6-3x/2)=13
2x+18-9x/2=13
2x-9x/2=13-18
4x/2-9x/2=-5
-5x/2=-5
*(-1/5) *(-1/5)
x/2=1
*2 *2
x=2
so y=6-3*2/2=6-3
y=3
Step-by-step explanation:
Given that:
(1/2x)+(1/3y) = 2 --------(1)
(1/3x)+(1/2y) = 13/6-----(2)
Put 1/x = a and 1/y = b then
(1) becomes
(a/2 )+( b/3) = 2
⇛ (3a+2b)/6 = 2
⇛ 3a+2b = 2×6
⇛ 3a+2b = 12 --------(3)
(2) becomes
(a/3)+(b/2)=13/6
⇛ (2a+3b)/6 = 13/6
⇛ 2a+3b=13----------(4)
On adding (3)&(4) then
3a+2b=12
2a+3b=13
(+)
_________
5a+5b = 25
_________
⇛ 5a+5b = 25
⇛ 5(a+b)=25
⇛ a+b=25/5
⇛ a+b=5 -------------(5)
On subtracting (3) from (4)
2a+3b=13
3a+2b=12
(-)
_________
-a+b = 1
_________
⇛ -a+b = 1
⇛ b = 1+a --------(6)
On Substituting the value of b in (5) then
a+1+a = 5
⇛2a+1 = 5
⇛ 2a = 5-1
⇛ 2a = 4
⇛ a = 4/2
⇛ a = 2
On Substituting the value of a in (6) then
b = 1+2
b = 3
Now,
a = 2
⇛ 1/x=2
⇛ “x” = 1/2
and
b= 3
⇛ 1/y = 3
⇛“y” = 1/3
Answer:- Hence, the value of x and y with be 1/2 and 1/3 respectively.
The solution for the given problem is (1/2,1/3)
Check:-
If x = 1/2 and y = 1/3 then
LHS = (1/2x)+(1/3y)
= 1/2(1/2)+1/3(1/3)
= 1/(2/2)+1/(3/3)
= (1/1)+(1/1)
= 1+1
=2
= RHS
LHS=RHS is true
and
LHS=(1/3x)+(1/2y)
⇛ 1/3(1/2)+ 1/2(1/3)
⇛ 1/(3/2)+1/(2/3)
⇛ (2/3)+(3/2)
⇛ (4+9)/6
⇛ 13/6
⇛ RHS
LHS = RHS is true
also read similar questions: Simultaneous equations: 1. 2x+2y=10 X+2y=6 2. 3x+y=18 2x+y=13 3. X+y=1 X-y=5 4. 3x+4y=29 X-4y=-17 5. 4c+3y=11 2x+y=7
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ASAP!!!!!!!!! PLEASE help me with this question! This is really urgent! No nonsense answers please.
==========================================================
Explanation:
Let point A be the center of the circle.
Arc DCF is 316 degrees. Arc FG is 20 degrees. Subtracting the arc measures gives 316-20 = 296 which is the measure of arc DCG, and by extension, it is the measure of reflex angle DAG. The acute angle DAG is 360-296 = 64 degrees
Triangle DAG is isosceles with AD = AG, so the base angles are ADG and AGD. Let's call each of these angles x for now. The sum of the three angles add to 180
x+x+64 = 180
2x+64 = 180
2x = 180-64
2x = 116
x = 116/2
x = 58
Therefore angle ADG is 58 degrees. It adds to angle ADB = 90 to get 90+58 = 148, which is the measure of angle BDG.
Note: angle ADB is 90 because tangent BD forms a right angle with the radius AD.
Another note: angle ADG is half that of the arc it cuts off, so in a sense it's similar to an inscribed angle
NEEDDD HELPPPP ASAPPPPPPPPPP !!
Answer:
42 = 8x + 13x
42 = 21x
x = 2
8 = 8c -4(c + 8)
8 = 8c - 4c - 32
8 = 4c - 32
40 = 4c
c = 10
Answer:
42 = 8x + 13x42 = 21x
42/21 = x
x = 2
check:
42 = 8*2 + 13*2
42 = 16 + 26
8 = 8c - 4(c+8)8 = 8c -4*c -4*8
8 = 8c - 4c - 32
8 + 32 = 4c
40 = 4c
40/4 = c
c = 10
Check:
8 = 8*10 - 4(10+8)
8 = 80 - 4*18
8 = 80 - 72
A line passes through the given points. Write an equation for the line in point-slope form. Then rewrite the equation in slope-intercept form. (4, –2), (9, –8)
Answer:
Step-by-step explanation:
(-8+2)/(9-4)= -6/5
y + 2 = -6/5(x - 4)
y + 10/5 = -6/5x + 24/5
y = -6/5x + 14/5
A group of people buys 5 pounds of corn meal to divide equally among 6 families write a fraction or mixed number that shows how many pounds of corn meal each family gets'.
Answer:
5/6 pounds
Step-by-step explanation:
A group of people buys 5 pounds of corn meal to divide equally among 6 families write a fraction or mixed number that shows how many pounds of corn meal each family gets'.
Given the following :
Amount of corn meal purchased = 5 pounds
Number of people to share = 6 families
Assume, it is divided equally among them;
Then; each family gets ;
(Pounds of corn meal purchased/number of families) ;
5 / 6 pounds of corn meal will be distributed to each family.
Five less than the product of a number and 6
A. 5-6n
B. 6(n-5)
C. 6n-5
D. 6(5-n)
Answer:
C. 6n - 5
Step-by-step explanation:
Hello!
A product of a number and 6 means we have to multiply a number by 6.
This can be shown by 6n.
Then 5 less means we subtract by 5.
We get the answer: 6n - 5
Hope this Helps!
Answer:
B) 6(n-5)
Step-by-step explanation:
Mark as Brainliest
A right cylinder has a radius of 2 units and a height of 5 units.
A right cylinder has a radius of 2 units and a height of 5 units.
What is the volume of the cylinder? Round to the nearest tenth.
31.4 cubic units.
62.8 cubic units
157.1 cubic units
314.2 cubic units.
Answer:
62.8 cubic units
Step-by-step explanation:
Because, The formula of volume of cylinder is Volume = square of radius multiply by its height
The volume of the cylinder round to the nearest tenth is 62.8 cubic inches
How to calculate the volume of a cylinder?The formula for calculating the volume of a cylinder is expressed as;
V = πr²h
where
r is the radius of the cylinder
h is the height of the cylinder
Given
radius = 2 units
height = 5 units
Substitute
V = (3.14)* 2² * 5
V = 3.14 * 20
V = 62.8 cubic inches
Hence the volume of the cylinder round to the nearest tenth is 62.8 cubic inches
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Based on the cladogram, which characteristics are common to amphibians, lemurs, and humans? vertebrae, tetrapod, hair amniotic egg, hair, biped tetrapod, vertebrae tetrapod, hair
Answer:
C. did the assignment
Step-by-step explanation:
edge 2021
Answer:
C. Tetrapod, vertebrae
Step-by-step explanation:
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each value to the correct expression.
The answer is shown below:
What is expression?An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. Let us understand how to write expressions. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression.
1+5.2 + (1+3)²
=1+10 + 16
=27
0.25*4³-1
=0.25*64-1
=16-1
=15
4+8(1/4+2)
=4+8(9/4)
=4+2*9
=4+18
=22
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How many hours are there in ten quarters of an hour?
Answer:
2 1/2 hours
Step-by-step explanation:quarters means 1/4 and there are 4 of them in each hours so if you have 10 quarters of a hour they add up to 2 hours and a half, because 2 hours times 4 equals 8 quarters and then add the other 2 quarters and you get half
Will Give Brainliest, answer ASAP x=
y=
z=
Opposite angles are identical.
11y = 55
Y = 55/11
Y = 5
3z-4 = 110
Add 4 to both sides
3z= 114
Z = 114/3
Z = 38
180 -110 = 70
55 + x = 70
X = 70-55
X =15
X = 15, y = 5, z = 38
Answer:x=15, y=5, z=38
Step-by-step explanation: you know that opposite angles are the same. y=5
add 4 to both sides. and you get the value for x y z.
The diagram below is divided into equal parts. Which ratio correctly compares the number of shaded sections to the total number of sections? A diagram is divided into 4 shaded parts and 4 white parts. One-half 4 to 4 2:1 StartFraction 8 Over 4 EndFraction
Answer: 1/2 is correct.
Step-by-step explanation:
There are 8 total parts, and 4 of them are shaded. 4 is half of 8, therefore, your answer is 1/2.
Hope this helps!
Answer:
The answer is A
Step-by-step explanation:
because there are 4 shaded parts and 8 parts in total.
4/8=1/2
It's A
solve for x and y plz 12x - 5y = -20 x + 4 = y
Answer:
(0,4)
Step-by-step explanation:
System of Equations:
[tex]\left \{ {{12x-5y=-20} \atop {x+4=y}} \right.[/tex]
x= y-4 .... Change format so you can substitute to first equation
12(y-4)-5y=-20 .... Plug in x= y-4 to first equation
12y - 48 -5y = -20 ..... Distributed
7y -48 =-20 .... Added like terms
7y=28 .... Added 48 to both sides
y=4
.... Plug y into the second equation to find x
x + 4=y
x +4 = 4 .... Plugged in y
x = 4-4 .... Subtracted 4 from both sides
x=0
Your answer is (0,4)
Hope this helps:)
A business tenant has a percentage lease stating rent payment is greater of 2% of the business's total gross sales volume or a minimum base rental of $1,000.00 per month. In the past year, sales totaled $435,000. How much rent did the business pay?
Answer:
The answer is $12,000. 12 months × $1,000 per month = $12,000 minimum annual base rent; $435,000 gross sales × 2% = $8,700. The tenant paid $12,000 because the minimum base rent was more than the percentage of gross sales.
Step-by-step explanation:
Need help how to find this slope
Answer:
slope = - [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 1)
m = [tex]\frac{1-2}{3-0}[/tex] = - [tex]\frac{1}{3}[/tex]
Which expression is equivalent to the product of p+7/3 and6/p , where p0? PLZZZZ HELPPPPPPP
Answer: [tex]6+\dfrac{14}{p}[/tex] .
Step-by-step explanation:
To find : The expression is equivalent to the product of [tex]p+\dfrac73\text{ and }\dfrac6p[/tex], where p ≠0.
Product of [tex]p+\dfrac73\text{ and }\dfrac6p[/tex] = [tex](p+\dfrac73)\times\dfrac6p[/tex]
Using distributive property: [tex](b+c)a= ba+ca[/tex]
[tex](p+\dfrac73)\times\dfrac6p=p\times\dfrac6p+\dfrac73\times\dfrac6p\\\\= 6+\dfrac{7}{1}\times\dfrac2p\\\\=6+\dfrac{14}{p}[/tex]
Hence, the required expression is [tex]6+\dfrac{14}{p}[/tex] .
Answer:
B!!!
Step-by-step explanation:
Multiply then divide every number by 2 to simplify.
