Natalie Albert deposited checks totaling $1,735,97 into her savings account, she withdrew $100.00 while depositing some coins. If her total deposit was $1,668.71 then Natalie deposited $32.74 in coins.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let's call the amount Natalie deposited in coins "x".
We know that her total deposit was $1,668.71,
so we can write an equation:
1,735.97 - 100.00 + x = 1,668.71
Simplifying, we get:
1,635.97 + x = 1,668.71
Subtracting 1,635.97 from both sides, we get:
x = 32.74
Therefore, Natalie deposited $32.74 in coins.
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6 Jenny is y2 years old and her daughter Allyson is y years old, If Jenny lives to the age of 13y,
Allyson will be y years old. How old is Allyson now? (Note: the difference in ages must
remain constant.)
Answer:
Allison is 7 years now, Jenny is 49 yeas now. Check. 13y = 13*7 = 91 will happen in 91-49 = 42 years. Jenny will be 7 + 42 = 49 years old at that time.
Step-by-step explanation:
Car A uses regular gasoline at $1.21 a gallon and gets 19 miles per gallon (mpg) in town. Assume that
you drive 100 miles a week, or 400 miles a month. What is your gas bill each month?
Answer:
Step-by-step explanation:
Remark
If you drive 400 miles a month, and you get 19 miles per gallon, then you will need
gallons = miles / miles per gallon
Givens
m = 400
mpg = 19
Cost per gallon = 1.21
Solution
gallons = 400 / 19 = 21.05
You need to buy 21.05 gallons
1 gallon costs 1.21
21.05 gallons cost x Cross multiply
x = 1.21 * 21.05
Answer: x = 25.47 Cost for 1 month's fuel.
The length of a rectangle is 3 feet longer than its width.
If the perimeter of the rectangle is 54 feet, find its length and width.
Answer:
Length = 15ft
Width = 12ft
Step-by-step explanation:
First, re-read the problem until you acknowledge it and can put it into your own words.
This is what I did:
Find the area of a rectangle by first finding the length and the width. Note that:
L = Length
W = Width
Find L and W
We will need formula:
P=2L+2W
A=LW
The length of a rectangle is 3 ft longer than its width :
L = 3 + W Equation [1]
"the perimeter of the rectangle is 30 ft" means
P = 54 Equation [2]
P = 54 = 2L + 2W
54 = 2(3+W) + 2W
54 = 6 + 2W + 2W
54 = 6 + 4W
48 + 4w
12 ft = w
L = 3 + W
L = 3 + 12
L = 15 ft
Area if needed
A = L*W
A = (12 ft)*(15 ft)
A = 180 sq ft
Kavinsky
[tex] \tt(6x4−2x3 +7x2 −x) + ( 7x4+ 2x3−5x + 7)[/tex]
[tex] \\ [/tex]
With Solution!!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \tt \dashrightarrow \:\tt(6x {}^{4} −2x {}^{3} +7x {}^{2} −x) + ( 7x {}^{4} + 2x {}^{3} −5x + 7)[/tex]
[tex]\qquad \tt \dashrightarrow \:\tt6x {}^{4} −2x {}^{3} +7x {}^{2} −x + 7x {}^{4} + 2x {}^{3} −5x + 7[/tex]
Now, move all like terms aside :
[tex]\qquad \tt \dashrightarrow \:6 {x}^{4} + 7 {}x^{4} - 2 {x}^{3} + 2 {x}^{3} + 7 {x}^{2} - x - 5x + 7[/tex]
Add the like terms ~
[tex]\qquad \tt \dashrightarrow \:13 {}x^{4} + 7 {x}^{2} + 6x + 7[/tex]
Answer:
13(x)⁴ + 7(x)²-6(x) + 7
Explanation:
[tex]\hookrightarrow \sf (6x^4 -2x^3+7x^2-x)+(7x^4+2x^3-5x+7)[/tex]
remove the parenthesis
[tex]\sf \hookrightarrow 6x^4-2x^3+7x^2-x+7x^4+2x^3-5x+7[/tex]
group the variables
[tex]\hookrightarrow \sf 6x^4+7x^4-2x^3+2x^3+7x^2-x-5x+7[/tex]
add similar terms
[tex]\sf \hookrightarrow 13x^4+7x^2-x-5x+7[/tex]
simplify
[tex]\hookrightarrow \sf 13x^4+7x^2-6x+7[/tex]
Leila had 160 dollars to begin with. She just spent k dollars. Using k, write an expression for the number of dollars she has left.
Answer:
160 - k dollars
Step-by-step explanation:
Hello!
If Leila has 160 dollars and spends the amount k, then you are therefore subtracting k from 160. This is because you are using the value of k from 160.
So the expression would be 160 - k dollars
which is more likely to have a mass close to 3 kilograms small feather a five year old cat or a grown elephant or a peach. dont delete this question dbs at brainly (dbs = drag on balls)
Answer:
5 year old cat
Step-by-step explanation:
because a kg is about a pineapple
Write an equation to represent the following statement. jjj divided by 999 is 555. Solve for jjj. j=j=j, equals
Answer:
j ÷ 9 = 5
Step-by-step explanation:
If the statement says, j divided by 9 is 5, it is obvious you are dividing in this situation.
So the equation is, j ÷ 9 = 5
The next part says solve for j.
This part is pretty easy; all you have to do is do the opposite operation and multiply 9 by 5.
So, j = 45
5-6y^2=113 solve by square roots
Answer:
[tex]y=\frac{\sqrt{113}-5 }{-6}[/tex]
Step-by-step explanation:
[tex](5-6y)^2=113[/tex]
[tex]\sqrt{(5-6y)^2} =\sqrt{113}[/tex]
[tex]5-6y=\sqrt{113}[/tex]
[tex]-6y=\sqrt{113} -5[/tex]
[tex]y=\frac{\sqrt{113}-5 }{-6}[/tex]
I hope this helps!
382.85 rounded to three significant figures
Answer:
382.85
Sig Figs
5
382.85
Decimals
2
382.85
Scientific Notation
3.8285 × 10^2
E-Notation
3.8285e+2
Words
three hundred eighty-two point eight five
Step-by-step explanation:
The chart above shows the results of survey taken by a movie theater the theater asked what genre the movie goers preferred to see if the theater owner asked 100 people how many people would prefer drama? Round to the nearest whole number show your work
Answer:
The Cost of operating the theater if there are 100 people at a show is 20,000Rs.
Step-by-step explanation:
Theater is a place where the movies are shown in big screens and Speakers are used for the clear audio of the movie.
In a theater there will be 3 to 4 shows for a movie or different movie.
Theater can consist of 250 - 300 seats and can cost up to 250rs for a seat.
Consider a ticket cost of 200rs. For 100 people in a show ,
Cost = 200 × 100
Cost = 20,000.
Hence the cost of operating theater if there are 100 people at a show is 20,000Rs.
The Cost of operating the theater if there are 100 people at a show is 20,000Rs.
The theater is a place where the movies are shown on big screens and Speakers are used for the clear audio of the movie.
In a theater, there will be 3 to 4 shows for a movie or a different movie.
Theater can consist of 250 - 300 seats and can cost up to 250rs for a seat.
What is the meaning of cost?
The average cost of a college education has gone up dramatically.
Consider a ticket cost of 200rs.
For 100 people in a show,
Cost = 200 × 100
Cost = 20,000.
Hence the cost of operating a theater if there are 100 people at a show is 20,000Rs.
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Which expression represents that an unknown number x is no less than 6?
x < 6
x > 6
x ≤ 6
x ≥ 6
Answer:
x≥ 6
Step-by-step explanation:
hope this helps loves x please make me brainlest
Answer: your answer would be D. x ≥ 6
x is greater or equal to 6
Step-by-step explanation:
What is the value of 5 in 50.14
Answer:
5 is in hundreds place, 0 is in the tens place, 1 is in the tenths place and 4 is in the hundreths place.
Step-by-step explanation:
Hi can someone help me pls
Answer:
f(x) = 45x + 5
Step-by-step explanation:
The parking fee for a minibus at an event is $5 entering the parking lot. There is an extra charge of $45 per passenger.
The formula that simulates the parking fee for this sentence is
f(x) = 45x + 5
This is because 45x represents the charge per passenger and we are using addition because the $5 minibus parking fee; to enter the parking lot - increases the total cost of the parking fee.
Find the (LCD) 5/6 and 11/8
Answer:
24
Step-by-step explanation:
First we write the first few multiples of 6 (the first denominator) :
6,12,18,24,30
Now we write the first few multiples of 8 (the second denominator) :
8,16,24,32,40
As we can see 24 is the lowest number that appears in both list.
Therefore it is the LCD of 5/6 and 11/8
2/3 of the pizza was left over from last night. Then, Marcy ate another 2/9 of it. Which of the following statements is true?
A.Very little of the pizza is left.
B.About half of the pizza is left.
C.Most of the pizza is left.
Answer:
B.About half of the pizza is left.
Step-by-step explanation:
When we solve:
2/3 of the pizza was left over from last night. Then, Marcy ate another 2/9 of it.
We get 4/9.
. Write an expression equivalent to 3w - 3w + 3w with just one term. - What property or properties applies?
Answer:
w(3-3+3)
Step-by-step explanation:
distibutitve property
What is the slope of
the line?
Give your answer as
a fraction in simplest
form.
Answer:
3/4
Step-by-step explanation:
The answer is 3/4, because we rise 3 and run 4 the formula is always rise over run, and thats why its 3/4
Hoped this helped!!
Coach Morrison used the graph below to track the total miles the girl’s and boy’s track teams ran each day for a week.
Help help help math math
Answer:
48
Step-by-step explanation:
just multiply 16 x 3 and you will your answer
Answer:
48 Oz.
please make this answer brainliest If I helped you!
Step-by-step explanation:
1lb = 16 Oz.
3lb = 48 Oz.
16x1=16
16×3=48
-15 divided by -1 2/3
Answer:
9
Step-by-step explanation:
15 / 5/3 = 15 x 3/5=9
Because a negative numebr divided by a negative number is always positive.
Answer:
9
Step-by-step explanation:
There is a bag containing 7 red marbles, 2 blue marbles, 8 green marble and 12 yellow marbles. Rodolfo Ronaldo will choose 3 marbles without replacement. How many possible outcomes does this experiment have?
Answer:
22707
Step-by-step explanation:
Algebra Find the value of x.
Answer:
To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.y-step explanation:
ANSWER THE FOLLOWING:
Answer:
1. (a) 1/12
(b)35/36
(c) 31/36
2. Blue - 1/3
Red- 4/15
If the area of the following parallelogram is 30 square centimeters, what is the length of the base?
25 cm
5 cm
6 cm
150 cm
Answer: 6 cm
Step-by-step explanation:
The formula for the area of a parallelogram is
hb=a
Where
b is the base
h is the height (5 for this)
and a is the area (30 for this)
Let's sub these values into our equation
[tex]5b=30[/tex]
Divide both sides by 5 to isolate b
[tex]5b=30\\\frac{5b}{5} =\frac{30}{5} \\b=6[/tex]
The base is 6cm long.
Answer:
Base = 6 cm
Step-by-step explanation:
Given:
[tex]\text{Area of parallelogram} \text{ = 30 cm}^{2}[/tex]
[tex]\text{Height of parallelogram = 5 cm}[/tex]
Formula:
[tex]\text{Area of parallelogram} = \text{Base} \times \text{Height}[/tex]
Substitute the height and the area of the parallelogram:
[tex]:\implies 30 \ \text{cm}^{2} = \text{Base} \times 5[/tex]
Divide both sides by 5:
[tex]:\implies \dfrac{30}{5} = \dfrac{\text{Base} \times 5}{5}[/tex]
Simplify both sides:
[tex]:\implies 6 \ \text{cm} = \text{Base}[/tex]
Find the indicated measures, given that EA is a diameter
a) mDEF =
b) mEFG =
c) mAC=
d) Explain how you found each angle measure below. Be sure to show all of your work.
Using the knowledge of the measure of a semicircle, the measures in the circle given are:
a. m(DEF) = 152°
b. m(EFG) = 70°
c. m(CA) = 28°
What is the Measure of a Semicircle?Half of a circle is a semicircle = 180°.
Given the following:
m(CDE) = 152°m(FG) = 31°m(AG) = 110°m(DC) = m(EF) = 180 - 110 - 31 = 39° (semicircle)a. m(DEF) = [m(CDE) - m(DC)] + [m(EF)]
m(DEF) = (152 - 39) + 39
m(DEF) = 152°
b. m(EFG) = m(EF) + m(FG)
m(EFG) = 39 + 31 = 70°
c. m(CA) = 180 - 152 (semicircle)
m(CA) = 28°
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find the area of a circle whose radius is 14cm
Answer:
Formula for area of circle;
A = π[tex]r^{2}[/tex]
Where 'π' represents pi(3.14 or 22/7), and 'r' stands for the radius which is being squared.
What we know:
Radius = 14cmPlug in what we know;
A = π[tex]r^{2}[/tex]
(For pi I'll be using 3.14 instead of 22/7)
A = 3.14(14^2) ← (The symbol ' ^ ' means to the power of.)
A = 3.14(196)
A = 615.44, 615.44 centimetres is the area of this circle.
Answer:
≈[tex]615.44cm^2[/tex]
Step-by-step explanation:
So the equation for area of circle.
[tex]\pi r^2\\\pi 14^2[/tex]
So 14^2, or 14 x 14 is 196.
Now you can either keep it in terms of pi, 196pi, or times it by pi.
[tex]196*pi\\196*3.14\\615.44[/tex]
So the answer would be around 615.44cm^2
Train A travels 100 miles in 4 hours, Train B travels 196 miles in 7 hours, and Train C travels 375 miles in 15 hours. Which two trains are traveling at the same rate?
Answer:
Trains 1 and 2 are going the same speed :)
Step-by-step explanation:
We need to divide to solve :)
Train 1:
100/4 = 25
Train 2:
196/7 = 28
Train 3:
375/25 = 25
Trains 1 and 2 are going the same speed :)
Have an amazing day!!
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simplify 8+6x6/11 +7×2.
Answer:
Step-by-step explanation:
Answer:
[tex]\frac{44}{25}[/tex]
Step-by-step explanation:
1) Simplify 6 × 6 to 36.
[tex]\frac{8+36}{11+7*2}[/tex]
2) Simplify 8 + 36 to 44.
[tex]\frac{44}{11+7*2}[/tex]
3) Simplify 7 × 2 to 14.
[tex]\frac{44}{11+14}[/tex]
4) Simplify 11 + 14 to 25.
[tex]\frac{44}{25}[/tex]
If 8 pounds of ground beef cost $10.32, how much would 12 pounds cost?
Answer:
$15.48 for 12 lbs
Step-by-step explanation:
Check photo for work
The 12 pounds of ground beef cost is $15.48.
What is unitary method ?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
According to the question
8 pounds of ground beef cost $10.32
i.e 8 pounds of ground beef = $10.32
1 pounds of ground beef = [tex]\frac{10.32}{8}[/tex]
1 pounds of ground beef = $1.29
Therefore,
12 pounds of ground beef = 1.29*12
12 pounds of ground beef = $15.48
Hence, 12 pounds of ground beef is of $15.48.
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F(x) = x+2-3 choose correct transformation