Answer:
The brother is 11 years and the sister 14 years
Step-by-step explanation:
Let x represent the age of the brother and let y represent the age of the sister. Since the sum of their ages is 25 years, the sum can be represented by the equation:
x + y = 25 (1)
The sister age is 8 years less than twice the brother’s age, this can be represented by the equation:
y = 2x -8
2x - y = 8 (2)
Solve equation 1 and equation 2 simultaneously. Add equation 1 and equation 2, this gives:
3x = 33
x = 33/3
x = 11 years
Put x = 11 in equation 1:
11 + y = 25
y = 25 - 11
y = 14 years
43:39 Which two operations are needed to write the expression that represents "five less than the quotient of a number and three"? multiplication and subtraction division and subtraction multiplication and addition division and addition
Answer:
The expression that represents "five less than the quotient of a number and three"
Is X ÷ 3 = Quotient - 5
Therefore, the two operations are needed to write the expression is Division and Subtraction
Step-by-step explanation:
Which two operations are needed to write the expression that represents "five less than the quotient of a number and three"?
Quotient = Dividend ÷ Divisor
Let the number the represented by X
Hence:
The expression that represents "five less than the quotient of a number and three"
Is X ÷ 3 = Quotient - 5
Therefore, the two operations are needed to write the expression is Division and Subtraction
Answer:
B
Step-by-step explanation:
I took the unit test.
can clothing help resist disease
Answer:
no
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
Because the clothing can have a bunch of germs on it from people touching it and you never know who could have touched it and been sick
Solve for k. You may either explain each step of the process in the box below or attach a photo that shows your work in solving it.
4k + 13 = 3k + 5
it equals -8.
4k + 13 = 3k + 5
4k + 13 - 13 = 3k + 5 - 13
4k = 3k - 8
4 k − 3 k = 3k - 8 - 3k
k = -8
You are going to open a certificate of deposit (CD) that earns simple interest. One bank offers an CD in which you must deposit 500 dollars for 3 years and 2% interest. Another bank offers a CD in which you deposit 250 dollars for 2 years with 3% interest. Which CD will earn more interest?
Answer:
i love this one 123465678891011121314
The case 1 (a certificate of deposit (CD) ) will earn more interest.
What is simple interest?Simple interest is the interest amount for a particular principal amount of money at some rate of interest.
Simple Interest is calculated using the following formula: SI = P × R × T, where P = Principal, R = Rate of Interest, and T = Time period.
Given
Case 1:
Principal p = $500
Time t = 3 years
Rate of interest r = 2%
Based on the given conditions
Simple Interest = [tex]\frac{prt}{100}[/tex]
= [tex]\frac{500(2)(3)}{100}[/tex]
= $30
Case 2:
Principal p = $250
Time t = 2 years
Rate of interest r = 3%
Based on the given conditions
Simple Interest = [tex]\frac{prt}{100}[/tex]
= [tex]\frac{250(3)(2)}{100}[/tex]
= $15
The case 1 CD will earn more interest.
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Simplify 12° (4 points) 127 O 124 1 124 1 124 O 1210
Answer:
the answer is b
Step-by-step explanation:
because that problem would cause the 12 to have a negative exponent but to change that make the exponent positive with a one on top
the temperature dropped 18 F over a 5-hour period of time. What was the constant temperature change per hour?
Answer:
it dropped 3.6 F each hour
Write the equation of the line in point - slope form .
Answer:
(-5,1)
Step-by-step explanation:
What is the rate of changes of the graph below?
Answer:
-1/2
Step-by-step explanation:
Find the coordinates of J if M(-2, 1) is the midpoint of JL and L(-7, 2)
Answer:
J (3,0)
Step-by-step explanation:
Jane moved from a house with 54 square feet of closet space to an apartment with 37.26 square feet of closet space. What is the percentage decrease of Jane's closet space?
Answer:
37.26 div by 54=0.69
Step-by-step explanation:
(what is 2+2+2+2+2+1234)
Who here watches f1, and who is your fav driver
Answer:
1244
Step-by-step explanation:
A school held several evening activities last month - a music concert, a basketball game, a drama play, and literacy night. The music concert was attended by 250 people. 350 peolpe attended the drama play.
50% of the people who attended the drama play also attended the music concert. What percentage of the people who attended the music concert also attended the drama play?
Answer:
70% of the people attended the music concert also attended the drama play
Step-by-step explanation:
Drama:
50 x 350 = 175
100
350 ÷ 2 (50%) = 175
50% (1/2) of 350 = 175
Music Concert:
175 x 100% = 70%
250
175 of 250 = 70%
70% of the people attended the music concert also attended the drama play
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
A school held several evening activities last month - a music concert, a basketball game, a drama play, and literacy night
The music concert was attended by 250 people
350 people attended the drama play.
50% of the people who attended the drama play also attended the music concert.
350/2=175
We need to find the percentage of the people who attended the music concert also attended the drama play.
175/250 x 100 = 70%
Hence 70% of the people attended the music concert also attended the drama play
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The numbers are 24 carts to 30 boxes, 30 carts to 36 boxes, 36 carts to 42 boxes. What function does this show?
Answer: add 6
Step-by-step explanation:
The function is add 6 because we see
24 + 6 = 30
30 + 6 = 36
36 + 6 = 42
The answer to the question is add 6.
Answer:
the answer is 6
Step-by-step explanation:
Find slope (-8, -15), (-2, 5)
Answer:
m=10/3
Step-by-step explanation:
If this helps plz give me brainliest :)
The slope of a line is -1/5 and the -intercept is 5. What is the equation of the line written in slope-intercept form? Type the equation in the space provided. Be sure to use the slope-intercept form noted in the lesson.
y=mx+b
Answer:
y = -1/5 x + 5
Step-by-step explanation:
Drag each complex number to the correct location on the image.
Simplify the complex numbers and match them with the correct values.
numbers:
-i^25
i^16
i^17
-i^32
i^9x-i^11
i^23/-i^11
Values
1
-1
i
-i
The required match of complex numbers is given by
1 = [tex][i^{16},][/tex],
-1 = [tex]-i^{32}, i^9*-i^{11}, i^{23}/-i^{11}[/tex]},
i = [tex]{i^{17}[/tex],
-i = {[tex]-i^{25}[/tex]}
Perfect matches of a simplified complex number to be identified.
The number that constitutes of real and imaginary numbers are called complex numbers. Standard form of complex number = a + bi
i² = -1 , i³ = -i and [tex]i^4=1[/tex]
1)
[tex]=-i^{25}\\=-(i^{24})*i\\=-i(i^4)^7\\=-i[/tex]
2)
[tex]=i^{16}\\=(i^{4})^4\\=1[/tex]
3)
[tex]=i^{17}\\=(i^4)^4*i\\=i[/tex]
4)
[tex]=-i^{32}\\=-(i^4)^8\\=-1[/tex]
5)
[tex]=i^9*(-i^{11})\\=i*(i^4)^2*(-i^8*i^3)\\=i*(-i)\\=i*[(-1)(-i)]\\=i*i\\=-1[/tex]
6)
[tex]= i^{23}/-i^{11}\\= -i^12\\=-(i^4)^3\\= -1[/tex]
Thus, the required match of complex numbers is given by
1 = [tex][i^{16},][/tex],
-1 = [tex]-i^{32}, i^9*-i^{11}, i^{23}/-i^{11}[/tex]},
i = [tex]{i^{17}[/tex],
-i = {[tex]-i^{25}[/tex]}
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I can't figure out −5x+ 3 ≥ −72
Answer:
x ≤15
Step-by-step explanation:
-5x+ 3 ≥ −72
Subtract 3 on both sides
-5x+3-3≥ -72-3
(-5x)(-1) ≤(-75)(-1)
5x≤75 Divide by 5
x ≤15
I hope its right
A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. Six hundred feet of fencing is used. Find the dimensions of the playground that maximize the total enclosed area. What is the maximum area?
Answer:
the smallest dimension = 100 ft
the largest dimension = 150 ft
Maximum Area = 15000 ft²
Step-by-step explanation:
let x represent length of one side and L represent length of adjacent side
so from the question
3x + 2L = 600
2L = 600 - 3x
L = (600 - 3x)/2
L = (600/2) - (3x/2)
L = 300 - (3x/2)
now Area of rectangle = L × x
Area = (300 - (3x/2)) × x
Area = 300x - 3x²/2
now we differentiate with respect to x and equate to 0 in other to find critical point
dA/dx ⇒ 300x/x - 3x²/x = 0
300 - 3x = 0
3x = 300
x = 300/3
x = 100
so we input value of x into our previous equation
Area = 300x - 3x²/2
= 300(100) - (3(100)²)/2
= 30000 - 15000
Area = 15000
also we input value of x in L = 300 - (3x/2)
L = 300 - (3(100))/2)
L = 300 - 150
L = 150
Therefore
the smallest dimension = 100 ft
the largest dimension = 150 ft
Maximum Area = 15000 ft²
What is a perfect square
Answer:
the product of a rational number multiplied by itself.
the product of a polynomial multiplied by itself.
Step-by-step explanation:
please help
will give brainlyest
Answer:
the answer is b
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Step-by-step explanation:
A store has 5 rings and 9 bracelets for sale. If all 14 items sell, how much money will the store take in? Choose the correct answer and explanation. Bracelets cost $88. Rings cost $125. A. $1,417 9 × $88 = $792; 5 × $125 = $625; $792 + $625 = $1,417 B. $1,427 9 × $88 = $802; 5 × $125 = $625; $802 + $625 = $1,427 C. $1,565 9 × $125 = $1,125; 5 × $88 = $440; $1,125 + $440 = $1,565 D. $2,982 5 + 9 = 14; $88 + $125 = $213; 14 × $213 = $2,982
Answer:
The correct answer is A. $1,417 9 × $88 = $792; 5 × $125 = $625; $792 + $625 = $1,417.
Step-by-step explanation:
From the question,
A store has 5 rings and 9 bracelets for sale. If all 14 items sell, the amount of money the store will take in can be determined by summing up the total cost of the rings and the total cost of the bracelets.
First, we will determine the total cost of the rings
From the question, a ring cost $125
∴ 5 rings will cost 5 × $125
5 × $125 = $625
Hence, the total cost of the rings is $625
For the bracelets
From the question, a bracelet cost $88
∴ 9 bracelets will cost 9 × $88
9 × $88 = $792
Hence, the total cost of the bracelets is $792
The amount the store will take in will be $625 + $792 = $1417
Hence, if all 14 items sell, the amount of money the store will take in will be $1417.
The correct answer is A. $1,417 9 × $88 = $792; 5 × $125 = $625; $792 + $625 = $1,417
Answer:
The correct answer is A. $1,417 9 × $88 = $792; 5 × $125 = $625; $792 + $625 = $1,417.
Step-by-step explanation:
From the question,
A store has 5 rings and 9 bracelets for sale. If all 14 items sell, the amount of money the store will take in can be determined by summing up the total cost of the rings and the total cost of the bracelets.
First, we will determine the total cost of the rings
From the question, a ring cost $125
∴ 5 rings will cost 5 × $125
5 × $125 = $625
Hence, the total cost of the rings is $625
For the bracelets
From the question, a bracelet cost $88
∴ 9 bracelets will cost 9 × $88
9 × $88 = $792
Hence, the total cost of the bracelets is $792
The amount the store will take in will be $625 + $792 = $1417
Hence, if all 14 items sell, the amount of money the store will take in will be $1417.
The correct answer is A. $1,417 9 × $88 = $792; 5 × $125 = $625; $792 + $625 = $1,417
Step-by-step explanation:
What is the slope of the line that passes through the points (-10,8) and (-15,-7)
Answer:
3
Step-by-step explanation:
Use the formula y2-y1/x2-x1
Plug in the values (-7-8)/(-15-(-10))
-15/-5
3
Answer:
slope = m , m = rise / run rise = change in y run = change in x
Step-by-step explanation:
to find change in y just subtract the second y from the first , like thus,
P1=(-10,8) = (X1,Y1)
P2=(-15,-7) = (X2,Y2)
-7-8=-15= change in Y
to find the change in X just subtract the second x from the first, like thus,
-15-(-10) = -15+10 = 5
m= -15/5
m=-3
it's a slope of negative 3... make sense?
This is very confusing for me, please help
Answer:
Math: Deals 6710 - 9506 fire damage and combustion to the second weakest enemy and 2 random enemies.
Step-by-step explanation:
wra
The table shows the daily low temperatures for Cleveland, Ohio, over five
days. Which expression can be used to find the average daily low
temperature during the five days? *
it would be the first one
[15+(-2)+8+(-6)+5]+5
a and b are complimentary angles. if m a = (6x+29) and m b = (x-5) then find the value of a.
Answer:angle a is about 85.57°
Step-by-step explanation:
Since they are complimentary, their sum equals 90° (6x+29+x-5=90°). You use this equation to find the value of x, which is ~ 9.428. After finding the value of x you plug it back in into a’s equation to find the value of a.
Please help me ASAP I have 20 minutes left What linear equation is
represented by the table?
Select one:
A.y = 4x
B.y= 2x – 2
C. y=2x
D.y= 4x-2
Answer:
y = 4x-2
Step-by-step explanation:
What is the Ratio of dimes to pennies
Answer:
10 to 5
Step-by-step explanation:
What percentage of students age 15 and above travel to school by bus? Round to the nearest whole percent. Can someone please work it out step by step thank you!
There were 9 roses in the vase. Sally cut some more roses from her flower garden. There are now 12 roses in the vase. How many roses did she cut?
Mary reduced the size of a triangle to a
height of 3 in. What is the new width if it
was originally 5 in wide and 15 in tall?
Answer:
1 in
Step-by-step explanation: