Jade has $451. 89 in her checking account. After 3 checks, each for the same amount, are deducted from her account, she has $358. 92 left in her account. Assume she makes no other withdrawals or deposits. Which equations represent c, the amount of one check, in dollars? Select three options. 451. 89 minus c = 358. 92 451. 89 minus 3 c = 358. 92 358. 92 3 c = 451. 89 358. 92 c c c = 451. 89 c = 3 (451. 89 minus 358. 92).
The equation from the given equations, representing c, the amount of one check(for the given condition), in dollars is given by: Option C: [tex]358.92 + 3c = 451.89[/tex]
How to interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.
Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.
Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.
Thus, [tex]a \div b[/tex] = a divided in b equal parts.
Also, we can write: [tex]a \div b = a \times \dfrac{1}{b}[/tex]
(it is since a = a times 1 so [tex]a/b = 1 \times (a/b) = (1/b) \times a[/tex])
For the given case, the amount those 3 checks together have is the difference in Jade's account's initial and final balance.
Amount deducted by 3 checks = $451.89 - $358.92
Amount of all 3 checks is $c
Thus, total of their amount = $(c + c + c) = 3c
Thus, we get:
[tex]3c = 451.89 - 358.92\\\\\text{Dividing both the sides by 3}\\\\c = \dfrac{451.89 - 358.92}{3} \text{\: (in dollars)}\\or\\\\358.92 + 3c = 451.89[/tex]
Thus, the equation from the given equations, representing c, the amount of one check(for the given condition), in dollars is given by: Option C: [tex]358.92 + 3c = 451.89[/tex]
Learn more about division here:
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Fifty Points and Brainliest!
Select all that have a proportional relationship:
Answer:
B and D both have a proportional relationship
Step-by-step explanation:
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Your Welcome :)
Diane bought 3 CDs that were each the same price. Including sales tax, she paid a total of $32.10. Of that total, $1.80 was tax. What was the price of each CD before tax?
All you have to do is take $32.10 and then subtract 1.80. So it should look like 32.10 - $1.80. The answer should be 30.30
Brad, Stella, and Gilbert want to get a thank you gift for Maria. They will split the cost evenly. They buy 6 roses at $2.15 each and a box of chocolates for $7.90. The store has a "no sales tax" day.
Brad estimates the cost per person to be $8. Is this reasonable?
A yes or no
Stella estimates the cost per person to be $7. Is this reasonable?
B yes or no
Gilbert estimates the cost per person to be $6. Is this reasonable?
C yes or no
Answer: Stella has a reasonable Answer
Step-by-step explanation:
When you add up all of the Costs, you get an answer of $20.80
You Divide $20.80 by 3
And you get your answer of 6.93333
Which estimates around 7 dollars making Stella Right!
Hope this helps :)
The total of a number and -15 is at most -10?
Answer:
This sounds like you're trying to find the average of a group of numbers. For instance, suppose you want to find the average age of a group of people whose ages are 16, 18, 23, and 28. First, you sum the numbers: 16 + 18 + 23 + 28. You get 85. Then you divide 85 (the sum) by how many numbers you added together (4). So you divide 85 by 4, which gives you 21.25. Hope this helps!
(help) what is 10 1/2 ÷ 9 2/6 = ?
Answer:
1 1/8
Step-by-step explanation:
10 1/2 ÷ 9 2/6 =
= 10 1/2 ÷ 9 1/3
= 21/2 ÷ 28/3
= 21/2 × 3/28
= 3/2 × 21/28
= 3/2 × 3/4
= 9/8
= 1 1/8
Answer: 1.125 or [tex]1\frac{1}{8}[/tex]
Step-by-step explanation:
Turn the mixed fraction into a regular fraction. Multiply the whole number by the denominator, then add that total to the number in the numerator. (For example: [tex]9\frac{2}{6}[/tex] = 9 ×6=54 +2=[tex]\frac{56}{6}[/tex])Once both mixed fractions are turned into regular fractions, flip one of them so they are written as their reciprocal (example: [tex]\frac{56}{6}[/tex]= [tex]\frac{6}{56}[/tex]) ONLY DO THIS TO ONE OF THE FRACTIONS, this will allow you to seamlessly cross multiply)After this, change the division sign to a multiplication sign and multiply the numerators by each other and the denominators by each other. You should be left with [tex]\frac{126}{112}[/tex]Simplify!The picture attached shows these steps in detail!
Bailey buys a car for $18,000 and it has a depreciation value of 16% per year after 3
years how much will her car be worth?
Answer:
$10668.67
Step-by-step explanation:
If the car value goes down 16% each year, after the first year, it will be worth 1520.
The next year, it will be worth $12700.80
After the third year, the car will be worth $10,668.67
Factor the expression using the GCF.
42+24n
Answer:
6(7+4n)
Step-by-step explanation:
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Given the piecewise function above evaluate the following statements. (write "DNE" if the limit does not exist)
The piecewise function of the above evaluate the following statements has the limit of the function as,
a) Does not exist (DNE)b) 3-13e) Does not exist (DNE)2What is the limit of a function?
The limit of a function at a certain point is the points, or boundary, in which the function can be existed.
The first function is given as,[tex]\lim_{x \to -2} f(x)[/tex]
Here, the limit of the function is -2. This limit does not exist for the given graphed function.
The second function is given as,[tex]\lim_{x \to 0} f(x)[/tex]
Here, the limit of the function is 0. At this limit the function is continues and the value of the function at point 0 is 3.
The third function is given as,[tex]\lim_{x \to 2} f(x)[/tex]
Here, the limit of the function is 2. At both the place, upside or downside, we get the value as -1. Thus, the value of function is -1.
The forth function is given as,[tex]f(2)[/tex]
Here, the function has the initial value 2. At this value, the value of the function is 3. Thus, the limit of the function at this point is 3.
The fifth function is given as,[tex]\lim_{x \to 4} f(x)[/tex]
Here, the limit of the function is 4. For this limit, the asymptotes goes from positive infinite and negative infinite. Thus, the limit does not exist for this point.
The sixth function is given as,[tex]\lim_{x \to \infty} f(x)[/tex]
Here, the limit of the function is ∞. For this limit, the function will tend asymptotically to the number 2.
The piecewise function of the above evaluate the following statements has the limit of the function as,
a) Does not exist (DNE)b) 3-13e) Does not exist (DNE)2Learn more about the limit of a function here:
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Saqui buys streamers for \$0.09$0.09dollar sign, 0, point, 09 per meter.
What is the price, in dollars, of 300300300 centimeters of streamers?
There are 100100100 centimeters in a meter.
Answer:
$0.27
Step-by-step explanation:
1/4 The ratio of meters of streamers to cost of streamers is 1 : 0.09
We want to know the ratio of centimeters of streamers to cost of
streamers.
2/4 We need to convert meters to centimeters.
There are 100 centimeters in 1 meter.
So, if 1 meter of streamers costs $0.09, then 100 centimeters of
streamers also cost $0.09.
3/4 The ratio centimeters of streamers to cost for 300 centimeters of
streamers.
Now, we can find an equivalent ratio to find the cost for 300
centimeters of streamers.
4/4 The streamers cost $0.27 per 300 centimeters.
Jenna's rectangular garden borders a wall. She buys 80 ft of fencing. What are the dimensions of the garden that will maximize its area?
A.) 5’ x 70’
B.) 3’ x 74’
C.) 15’ x 50’
D.) 20’ x 40’
Answer:
D. 20' x 40'
Step-by-step explanation:
Which table shows a set of ordered pairs that satisfies the equation shown?
y=1/3x
Answer: B
Step-by-step explanation: I graphed all the points and all the points on graph b were correct and on the line. i don't know how to put a pic of the graph on here so just trust me or go to desmos and graph the points on there.
PLEASEE HELPPPP!!!!!!!!
QRS and UST are shown below.
Which statement is true?
Answer:
no, they are not similar
the triangle above is an isosceles triangle, meaning two sides are equal which also means the two angles below are both 55 since one given angle is 55 the other is 55 as well
in the other triangle we are given a different angle, considering this angle is the third unknown angle in the other triangle we will use this to find out if the sum of this angle and the other two 55 degree angles will equal 180 degrees
(sum of interior angles in a triangle is 180)
55 + 55 + 65 = 180?
175 ≠ 180
175 degrees is not equal to 180 degrees so therefore they are not similar.
2 x 3 ( 3 + 1 ) x 4 +7 - 5
Step-by-step explanation:
2x3(3+1)x4+7-5
6(4)x4+2
24x4+2
96+2
98
hope this helps you
have a good day
Kevin drank 3 1/4 of water and 1 3/4 pints of juice. How much more water than juice did Kevin drink
the common factor of 6ab and 11cd
The common factors between the two expressions is 1.
What is a common factor?A common factor is a number that may be divided by two without leaving a residue. Numbers frequently share more than one aspect in common.
In order to find the common factor between the two expressions, we need to write the terms in factors form. Therefore, both the expression can be written as,
[tex]6ab = 2 \times 3 \times a \times b\times 1[/tex]
[tex]11cd= 11 \times c \times d \times 1[/tex]
As we can see that except for 1, there are no common factors in the two expressions.
Hence, the common factor between the two expressions is 1.
Solve for X. Round your answer to the nearest tenth,if necessary.
Answer:
[tex]21\sqrt{2}[/tex]
Step-by-step explanation:
Special traingle relationships for a 45-45-90 triangle says that the hypotenuse is always (leg length)(square root 2).
[tex]21\sqrt{2} *\sqrt{2} =42[/tex]
Answer:
29.7
Step-by-step explanation:
[tex]x = \frac{42}{ \sqrt{2} } = 21 \sqrt{2} [/tex]
which is about 29.7.
find the distance point between ( 0,0 ) and ( 4,3 )
Answer: The distance between the two points is 5.
WILL GIVE BRAINLIEST The number of milligrams of a certain drug that is in a patient's bloodstream h hours after the drug is injected is given by the following function.
When the number of milligrams reaches 6 , the drug is to be injected again. How much time is needed between injections?
Round your answer to the nearest tenth, and do not round any intermediate computations.
Answer:
3.6 hours
Step-by-step explanation:
Given that the number of milligrams of a drug in a patient's bloodstream after h hours is D(h) = 25e^(-0.4h), you want to know how much time elapses before the number reaches 6 milligrams.
SolutionYou want to solve for h the equation ...
D(h) = 6
25e^(-0.4h) = 6 . . . . . . use the given expression for D(h)
e^(-0.4h) = 6/25 . . . . . divide by 25
-0.4h = ln(6/25) . . . . . take natural logs
h = ln(6/25)/-0.4 ≈ 3.6
About 3.6 hours is the time needed between injections.
__
Additional comment
Because there are 6 mg remaining after the first injection when the second is given, it will take about 4.1 hours for the amount to decline to 6 mg after the second injection.
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Find the missing value
Answer:
26
Step-by-step explanation:
Being equilateral triangle
factor 6(x^2 - 16) - (3x+1) (x-4) + (8-2x) (x+2)
Answer:
Step-by-step explanation:
a² - b² = (a + b)(a - b)
x² - 16 = x² - 4²
= (x + 4)(x -4)
8 - 2x = (-2)*(-4) - 2x
= -2( -4 + x)
= -2( x - 4)
6(x² - 16) - (3x +1)(x - 4) + (8 - 2x) = 6(x +4)(x-4) -(3x +1)(x -4) - 2(x -4)
= (x -4) [6*(x+4) - (3x+ 1) - 2]
= (x -4) [ 6x + 24 - 3x - 1 - 2]
= (x - 4) [ 6x - 3x + 24 - 1 - 2]
= (x - 4)(3x + 21)
= (x -4) 3*(x +7)
= 3(x -4)(x+7)
Write 16 as a product of primes.
Use index notation when giving your answer.
Answer:
2⁴
Step-by-step explanation:
16
= 4 × 4
= 2 × 2 × 2 × 2
= 2⁴
Hope it helps ⚜
16
to find:the index notation.
solution:[tex]16[/tex]
[tex]4 \times 4 = 16[/tex]
[tex] {4}^{2} = 16[/tex]
[tex]2 \times 2 \times 2 \times 2 = 16[/tex]
[tex]2 {}^{4} = 16[/tex]
7 14(-1/8) – 5] + 9
evaluate
Answer:
(-4/8) - (-9/7) = 11/
14
≅ 0.7857143
Spelled result in words is eleven fourteenths.
Step-by-step explanation:
Please tell me if correct
Can u find x? with work
Find y and Find z??? Plsss thank youuu
Answer:
x = 8
y = 12
z = 48
Step-by-step explanation:
Using CPCTC (Corresponding Parts of Corresponding Triangles are Congruent), we can set up two equations to solve for x and y...
3x=24
9y=108
Start by solving for x...
3x=24
Divide both sides by 3
x=8
Then, solve for y...
9y=108
Divide both sides by 9
y=12
Note that angles in a triangle add up to 180 degrees. We can use this information to set up an equation:
24+108+z=180
132+z=180
z=48
My friends are walking to their house. They first walks directly north 20 feet. They then turn to the right and walk directly east 20 feet and they arrive at their house. If my friends had walked from their starting point directly to their house in a straight line, How many feet would they walk?
Answer:
28.28 ft
Step-by-step explanation:
20^2+20^2=c^2
400+400=c^2
28.28 = c
can anyone help with A ? it’s the pythagorean theorem
Answer:
The sides are not a right triangle
Step-by-step explanation:
The Pythagorean theorem states that a² + b² = c²
-> a and b are the legs
-> c is the hypotenuse
We can plug the values that we have in, and see if it will solve correctly.
a² + b² = c²
11² + 5² = 13²
121 + 25 = 169
146 ≠ 169
What is the answer I have to type in the yellow boxes?
[tex]\\ \rm\bull\rightarrowtail y=(1x^2)+3(x)[/tex]
[tex]\\ \rm\bull\rightarrowtail y=1(-6)^2+3(-6)[/tex]
[tex]\\ \rm\bull\rightarrowtail y=1(36)+(-18)[/tex]
Note the rule
(+)(-)=(-)[tex]\\ \rm\bull\rightarrowtail y=36-18[/tex]
[tex]\\ \rm\bull\rightarrowtail y=18[/tex]
Answer:
36 -18
18
Step-by-step explanation:
This is slightly confusing, since the question says "find the y coordinate if x = -4" yet underneath if appears they want x = -6 !
If x = -6
Substitute -6 into the equation in place of x
⇒ y = 1 × (-6)² + 3(-6)
Apply the rule (-a)² = a² and a(-b) = -ab:
⇒ y = 1 × (6)² + -3×6
⇒ y = 1 × 36 + -18
Using order of operations, carry out the multiplication first:
⇒ y = 36 + -18
Then the addition (subtraction)
⇒ y = 36 - 18
⇒ y = 18
What equations for x=-3 is a possible solution?
Answer:
2,4,5
Step-by-step explanation:
what 0.008 is 1/100 of
Answer:
0.8
Step-by-step explanation:
Which one is larger?
Answer:
-17 or b
Step-by-step explanation:
b = 4(-3) - 5
b = -12 - 5
b = -17
when a = -3 c is -20
- 17 is larger. you may think "oh its 20 that must be larger!" but thats wrong. -17 you be larger because its closer to 0
