Answer:
Alvin: 49
Elga: 40
Step-by-step explanation:
The equation is 89 = x + (x-9).Remove the parenthesis and combine the like terms. 89 = 2x - 9Add 9 on both sides. 98 = 2x Divide by 2 on both sides. x = 4949 is the age of Alvin. (49-9) 40 is the age of Elga.Hey there!☺
[tex]Answer:\boxed{40}[/tex]
[tex]Explanation:[/tex]
Elga's age can be represented as "x". If Elga is x years old, then Alvin's age would be represented as "x+9", since Alvin is 9 years older than Elga.
Their combined age is 89. If you were to write that as an equation in terms of "x", you would have the following equation.
[tex]x+x+9=89[/tex]
Since the question is asking for Elga's age, which is x, you're going to be solving the equation for the value of x.
First add like terms: [tex]x+x+9=89 \rightarrow 2x+9=89[/tex]
Subtract both sides by 9 to leave x alone: [tex]2x+9-9=89-9 \rightarrow 2x=80[/tex]
Divide both sides by 2 to find x: [tex]\frac{2x}{2} = \frac{80}{2} \rightarrow x=40[/tex]
Since x is equal to 40, Elga is 40 years old, and Alvin would be 49 years old.
You can also check if the answer is correct by adding their ages.
[tex]40+49=89\ \br \checkmark[/tex]
Elga is 40 years old.
Hope this helps!
[tex]\text{-TestedHyperr}[/tex]
A. 5x = 3x B. 5 = 3 How can we get equation b from equation a? A. Add/subtract the same quantity to/from both sides B. Add/subtract a quantity to/from only one side C. Multiply/divide both sides by the same non-zero constant D. Multiply/divide both sides by the same variable expression
Answer: D- multiply divide both sides by the same variable expression. B- no
Step-by-step explanation:
Multiply/divide both sides by the same variable expression. The correct option is D.
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given expression will be solved as below:-
5x = 3x
Multiply both sides of the expression by (1/x ).
( 1/x ) 5x = ( 1/x )3x
5 = 3
Divide both sides by x.
5x = 3x
5x / x = 3x / x
5 = 3
Therefore, multiply/divide both sides by the same variable expression. The correct option is D.
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what is 6.257 x 10^-7
Answer:
-62570000
Step-by-step explanation:
6.257× -10000000
-62570000
Solve the following equation for d.
T= Gd - N3
Answer: [tex]d=\frac{T+N3}{G}[/tex]
Step-by-step explanation:
To solve for d, we want to use algebraic properties to isolate d.
[tex]T=Gd-N3[/tex] [add both sides by N3]
[tex]T+N3=Gd[/tex] [divide both sides by G]
[tex]\frac{T+N3}{G} =d[/tex]
[tex]d=\frac{T+N3}{G}[/tex]
Now, we know that [tex]d=\frac{T+N3}{G}[/tex].
Which fraction is equal a whole number ?
A. 3/6 B.7/8 C.10/4 D.8/4
Answer:
D. 8/4
Step-by-step explanation:
Actually, 8/4 is basically 8 divided by 4, which is 2. And 2 is a whole number not decimal number, so that would be your answer.
The fraction number (8/4) that is equal to the whole number is 2. Then the correct option is D.
What is a fraction number?A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.
A. The fraction number is given as
[tex]\dfrac{3}{6}[/tex]
And it can be written as
[tex]\dfrac{1}{2}[/tex]
B. The fraction number is given as
[tex]\dfrac{7}{8}[/tex]
C. The fraction number is given as
[tex]\dfrac{10}{4}[/tex]
And it can be written as
[tex]\dfrac{5}{2}[/tex]
D. The fraction number is given as
[tex]\dfrac{8}{4}[/tex]
And it can be written as 2.
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A freight company using a semi truck has been hired to transport a container with a mass of 64,0000 mg. The truck can carry a maximum load of 5920 kg. Can the truck safely carry the container?
Answer:
Yes, many times over.
Step-by-step explanation:
I'm sure there is a typo in the question.
640,000 mg = 0.64 kg
Find x
Worth 10 pts
Pls show work
Explanation:
The tickmarks indicate which segments are the same length. On the left side, the single tickmark segments are the same length, and the same can be said about the double tickmarks segments as well. Because of this, the segment x cuts the diagonal sides in half.
The segment x is known as a midsegment of the triangle. It is half as long as the parallel side of 24 units. So x = (1/2)*24 = 12.
i’m taking a test
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poI nT s
my last account got B A N N E D
Answer:
yayz fwee pwoints thwank ywuo
Step-by-step explanation:
18/40 in it's simplest form
Answer:
9/20
Step-by-step explanation:
I guess I was help full for u
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Points F, G and H are collinear. If GH = 16, what is FH?
Answer:
FH = 36 units
Step-by-step explanation:
Points F, G and H are collinear.
Therefore, by joining segments FG and GH we get a segment FH.
FH = FG + GH
By substituting the values of the segments given in the question,
FH = (3x - 1) + (2x + 2)
= 5x + 1
Since, GH = 16
2x + 2 = 16
2x = 14
x = 7
Therefore, FH = (5x + 1)
= 35 + 1
= 36 units
Measure of segment FH = 36 units.
Enter the equation of the line in slope-intercept form. Slope is -6,and (4,3) is on the line. The equation of the line is
Answer:
Step-by-step explanation:
y - 3 = -6(x - 4)
y - 3 = -6x + 24
y = -6x + 27
Find the coordinates of the midpoint of a segment with the endpoints (9.–3) and (5,1).
Answer:
(7,-1)
Step-by-step explanation:
Answer:
(7,-1)
Step-by-step explanation:
Midpoint = [(x1+x2)÷2] , [(y1+y2)÷2]
= [(9+5)÷2] , [(-3+1)÷2]
= (7 ,-1)
Estimate \sqrt(80) the nearest tenth. Then locate \sqrt(80)on a number line.Estimate \sqrt(80) the nearest tenth. Then locate \sqrt(80)on a number line.
Answer:
8.9
Step-by-step explanation:
We know that 81 = 9², so √80 will be slightly less than 9. We can get a pretty good estimate by averaging 9 with 80/9. That result is 8.94, so about 8.9.
The attached graph shows that point on a number line.
Find an equation of the line that passes through the points (3,-2) and (-7,6).
Answer:
y = -4/5x + 2/5
Step-by-step explanation:
Answer:
y = -0.8x + 0.4 or
y= -4/5x + 2/5
Step-by-step explanation:
Nicole lives in a home worth $135000. She has a mortgage of $88000. She owes $42000 on her car that is worth $11000. She has a credit card balance of $28000. She also has a checking account with a balance of $900 and $300 in gift cards. What is Nicole's net worth?
Answer:
305,200
Step-by-step explanation:
What is the product of 5/8 x 3/4 ?
Answer:
15/32 or 0.46875
Step-by-step explanation:
Answer:
Step-by-step explanation:
B
Solve for the length of BC
Answer:
BC= 9cm
Step-by-step explanation:
You'll need to use the Pythagorean theorem:a^2 + b^2 = c^2
12^2 + b^2 = 15^2The slanted side of the triangle is always going to be 'c' because it is the longest side of the triangle.
Now simplify: 144 + b^2 = 225I got these numbers because 12^2= 144 and 15^2= 225
Subtract. 225 - 144 = 81Now find the square root of 81. The answer is 9.Calculate the median, the range and identify the Q1 and Q3 for the following set: 5, 1, 6, 8, 1, 7, 4, 5, 6, 11, 3, 4, 4, 2, 5, 5 (hint draw a box and whisker plot)
Answer:
Arrange the data in ascending order
1,1,2,3,4,4,4,5,5,5,5,6,6,7,8,11
n=16
position of median = (n+1)/2 = 17/2 = 8.5 th item
8.5 th item is the average of 8 and 9th item
median = (5+5)/2 = 5
Range = largest value - smallest value
= 11 -1 = 10
position of Q1= (n+1)/4 = 17/4 = 4.25 th item
Q1 = 4 + 0.25(5th item - 4th item )
4 + 0.25(4-3)
= 4.25
position of Q3= (n+1)/4 = 3*17/4 = 12.75 th item
Q1 = 12 + 0.75(13th item - 12th item )
12 + 0.75(6-6)
= 12
Step-by-step explanation:
What is the result when the number 92 is decreased by 50%?
Answer:
46
Step-by-step explanation:
50%=0.5
0.5*92=46
whats the answer for -2x^2-28x-102=0
Answer:
NO REAL SOLUTIONScomplex solutions: x = -7 ± i√2
Step-by-step explanation:
[tex]-2x^2-28x-102=0\\{}\qquad\qquad^{\div(-2)}\qquad\ \ ^{\div(-2)}\\x^2+14+51=0\quad\implies\quad a=1\,,\ b=14\,,\ c=51\\\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-14\pm\sqrt{14^2-4\cdot1\cdot51}}{2\cdot1}=\dfrac{-14\pm\sqrt{196-204}}{2}[/tex]
[tex]x=\dfrac{-14\pm\sqrt{-8}}{2}[/tex] means NO REAL SOLUTIONS (as there is no real √[-8])
However in complex numbers we have:[tex]x=\dfrac{-14\pm\sqrt{-8}}{2}=\dfrac{-14\pm2\sqrt{-2}}{2}=\dfrac{2(-7\pm\sqrt{-2})}{2}=-7\pm\sqrt{-2}\\\\\\x_1=-7+i\sqrt2\ ,\qquad x_2=-7-i\sqrt2[/tex]
If there are 2.2 pounds in 1 Kilogram, how many pounds are there in x kilograms?
A)2.2x
B)2.2/x
C)x/2.2
D)2.2+c
Answer:
The answer is A
Step-by-step explanation:
If there are 2.2 in 1 kilogram and you are trying to find out how many are in many kilograms then you multiply.
Hopefully this helps you :)
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The expression that represents the pound of weight in x kilogram can be written as 2.2x, where x represents the weight in kilograms.
What is Units conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
As it is given that there are 2.2 pounds in 1 Kilogram. Therefore, the expression that represents the pound of weight in x kilogram can be written as 2.2x, where x represents the weight in kilograms.
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How do I solve this problem?
What is
y = - (2+2)(x - 1)
On a graph
Petra is shopping with 2 of her friends. She buys a note book and six identical pencils. The note book costs the same as 2 of the pencils. Her bill is £16.80. How much does a note book cost?
Answer: £4.20
Each 2 of pencils is £4.20 multiply that by 3 your get 12.60, the notebook is the same price of 2 pencils so that must mean it is £4.20
4.20 x 4 = 16.80
3 £4.2 from the 6 pencils
and 1 £4.2 from the notebook
Hope this helps!
The required cost of a notebook would be an amount of £4.20.
What is the equation?The equation is defined as mathematical assertions that have a minimum of two terms containing variables or numbers that are equal.
Let's assume that n is the cost of a notebook, p is the cost of a pencil, and b is the total bill.
We know that the notebook costs the same as two pencils, so we can write this as an equation:
n = 2 × p
We also know that Petra's bill is £16.80, so we can write this as an equation:
b = n + 6 × p
Substituting the first equation into the second equation, we get:
b = n + 6 × p
b = (2 × p) + 6 × p
b = 8 × p
We can now solve for p by dividing both sides of the equation by 8:
p = b / 8
p = £16.80 / 8
p = £2.10
Since the notebook costs the same as two pencils, we can now solve for n by substituting the value of p into the first equation:
n = 2 × p
n = 2 × £2.10
n = £4.20
Therefore, the cost of a notebook is £4.20.
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uhm pls help me rn i need help
Answer:
hey i would help you but i cant because my school computer blocked the image
Step-by-step explanation:
if you could tell me text wise i might be able to help you out :)
2a + 6
what is the verbal expression for this is expression
Answer:
The sum of two times a number and six.
or
Two times a number plus six.
Step-by-step explanation:
Step 1: Convert 2a into words
2a = two times a number
Step 2: Convert + 6
+ 6 = the sum of 6 or plus 6
Step 3: Combine to make sentence
The sum of two times a number and six.
Two times a number plus six.
Who knows how to answer this. It's Dividing complex numbers.
Answer:
answe is 1+i
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Answer:
[tex]\large\boxed{1+i}[/tex]
Step-by-step explanation:
[tex]$\frac{4+2i }{3-i} $[/tex]
Factor the numerator
[tex]$\frac{2(2+i) }{3-i} $[/tex]
Multiply both numerator and denominator by the conjugate of the denominator.
[tex]$\frac{2(2+i) }{3-i} \cdot \frac{3+i }{3+i} = \frac{2(2+i)(3+i) }{9-i^2} $[/tex]
Once [tex]i^2=-1[/tex]
[tex]$\frac{2(2+i)(3+i) }{10} $[/tex]
Solving the numerator
[tex]2(2+i)(3+i) = 2(6+2i+3i+i^2) = 2(6+5i-1)=2(5+5i)[/tex]
[tex]$\frac{2(5+5i)}{2 \cdot 5} =\frac{5+5i}{5}=\boxed{1+i} $[/tex]
What is the distance between-5 and 8?
Answer:
13
Step-by-step explanation:
-5+5=0
0+8=8
5+8=13
Answer: 13
Step-by-step explanation:
round 6(2f-4)=31 i need help with this
Answer:
f ≈ 5
Step-by-step explanation:
Step 1: Write equation
6(2f - 4) = 31
Step 2: Solve for f
Distribute 6: 12f - 24 = 31
Add 24 on both sides: 12f = 55
Divide both sides by 12: f = 55/2
Simplify: f = 4.58333
Round: f ≈ 5
is anyone elses brainly down
Answer:
may I have brainly??
Step-by-step explanation:
6
You have $12 to spend on ride tickets (t) at the fair. Each ticket (t) costs $2. Write an
Inequality that represents the number of tickets you can purchase.*
(1 Point)
Answer:
12 less than or equal to 2
Step-by-step explanation:
The inequality for the given statement is $12 ≤ $2(n).
What is inequality?The equations with inequalities are those who have unequal sides on both sides. Unlike the equation, we compare the two values when we work with inequality. The equal sign is substituted between by being less than (or less than or equal to), larger than (or greater or equal to), or not equal to sign.
As per provided data from the question,
Total money to spent on the ride tickets = $12
Price of each ticket for a ride =$2
So, the inequality will be : $12 ≤ $2(n), here n is the number of rides.
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