Danielle's expression doesn't provide the correct time frame for saving unless $385 is her savings rate. She needs to divide the cost of the television by her regular savings amount to find the needed time to save.
Explanation:Danielle is trying to figure out how long it will take to save enough money to buy a flat screen television that costs $510. However, her expression 510 ÷ (35×11) will not accurately give her the information she needs unless $385 (which is 35×11) represents her monthly savings or some other specific saving interval. To determine how long it will take to save the money, Danielle would need to know her savings rate per week, month, or another interval of time and then divide the total cost of the television by that rate.
For example, if Danielle can save $50 each month, the correct expression would be $510 ÷ $50/month. This would yield 10.2 months, assuming she can save that amount consistently every month without any additional costs or interest. Budgeting and cutting unnecessary expenses can also help Danielle accelerate her savings plan. If she finds ways to increase her savings rate by reducing discretionary spending, she would be able to purchase her desire faster.
A plus catering service typically plans on making 5 meals more than what the client has purchased in order to be sure they have enough food. This cost is passed onto the client. Each meal cost the client $17.
Which expression below describes the total amount of money charged to the client for any number of meals purchased.
A. 17(x + 5)
B. (17 + 5)x
C. 17x + 5
D. 17 + 5x
A cracker company packages its product in a box that is shaped like a rectangular prism. The box is 6 inches long, 2 inches wide, and 8 inches high.
V=lwh
What is the volume of the box?
A.22 in³
B.50 in³
C.96 in³
D.16 in³
you run one lap around a mile track every 8 minutes. Your friend runs around the same track every 10 minutes. You both start at the starting line at the same time
Which expressions are perfect square trinomials? Check all that apply.
x2 + 16x + 8
x2 + 14x + 49
x2 – 5x + 25
x2 – 24x + 144
x2 + 9x – 81
The expressions that give perfect square trinomials are:
[tex]x^2+14x + 49[/tex] and [tex]x^2-24x+144[/tex]
A quadratic trinomial of the form [tex]ax^2+bx+c[/tex] is a perfect trinomial if it can be expressed as [tex](mx + n)^2[/tex]
Let us consider [tex]x^2+14x + 49[/tex]
[tex]x^2+14x+49\\x^2+7x+7x+49\\x(x+7)+7(x+7)\\(x+7)(x+7)\\(x+7)^2[/tex]
Let us consider:
[tex]x^2-24x+144\\x^2-12x-12x+144\\x(x-12)-12(x-12)\\(x-12)(x-12)\\(x-12)^2[/tex]
All other options do not give a perfect square when tested
Therefore, the expressions that give perfect square trinomials are:
[tex]x^2+14x + 49[/tex] and [tex]x^2-24x+144[/tex]
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Which rhetorical device would you use to make a comparison between the current situation and another situation A refrain
B parallel structure
C imagery
D allusion
when rounded to the nearest hundred which of the following would round of to 4,600
Mandy has 36 cups of apple juice. she uses 1/4 of the juice to make punch. she then uses the remaining juice to pour single servings that are 1/3 cup each. how many single servings does Mandy pour?
factor Completely 2x^2+11x-63
Answer:
(x + 9) × (2x - 7)
Step-by-step explanation:
You need to write the equation as a difference
2x^2 + 18x - 7x - 63
Then factor the expressions
2x(x + 9) - 7(x + 9)
Factor again
Tell whether the sequence is Arithmetic, Geometric, or Neither. -5, 95, 195, 295, 395
Which fraction has a repeating decimal as its decimal expansion?
A. 3/19
B.3/16
C. 3/11
D. 3/8
Answer:
3/11 CCC
Step-by-step explanation:
10d+10=5d+45 plz help
What is 75 1/2 Times 100 3/4
I need the expanded form of 5 times 923
Two fifths of the fish in Gary's fish tank are guppies onefourth of the guppies is red what fraction of the fish in Gary's tank are red guppies what fraction of the fish in Gary's tank are not red guppies show your work
Write 24.357 in the Expanded form using fractions
solve by factoring and show work x^2-3x-10=0
Write a word phrase to represent the numerical expression 5+(17-8)
At the gas station each liter of gas costs $3 but there is a promotion that for every beverage you purchase you save 0.20 cents on gas. Is your total savings on gas proportional to the number of beverages you purchase?
Answer:
Yes
Step-by-step explanation:
The answer is yes it is proportional
what is 3.24 x 10^-4 divided by 8.1 x 10^-7 in scientific form?
what is another way to write 4 hundreds
Another way to write 4 hundred is to express it in scientific notation which is 4.0 × 10²
Scientific notation is another way of expressing figures in standard form. It is a proper form of writing a large number in simpler ways.
Another way to 4 hundred is to express it in a standard form or scientific notation.
400 hundred in scientific notation = 4.0 × 10²
Therefore, we can conclude that 4 hundred is to express it in scientific notation which is 4.0 × 10².
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Write 5,256 divided into 52 and show your work
The perimeter of a rectangle is 524cm. The length is is 42cm more than the width. What is the length of the rectangle?
Write 7.50x +15y=750 in slope intercept form.
The inverse of a function occurs when _____.
Final answer:
The inverse of a function occurs when the roles of x and y are interchanged, reflecting the function's graph across y = x.
Explanation:
The inverse of a function occurs when the roles of x and y are interchanged, which involves reflecting the function's graph across the line y = x. For a function to have an inverse, it must pass the horizontal line test, meaning each output value corresponds to a unique input value.
How many solutions does the following equation have?
The solution to the given equation is x = -1. Thus, the answer is option B exactly one solution.
How to determine the number of solutions for the equation
To determine the number of solutions for the equation 3(x + 5) = -4x + 8, simplify and solve it:
Distribute the 3 on the left side of the equation:
3x + 15 = -4x + 8
Combine like terms:
3x + 4x = 8 - 15
7x = -7
Divide both sides of the equation by 7 to isolate the variable x:
x = -1
Now, we have found a solution for the equation, which is x = -1.
Since we have found exactly one solution, the answer is (b) exactly one solution.
A rectangular park, with dimensions of 1500ft x 2000ft has a diagonal walking path that goes from corner to corner. How long is the walking path?
250 ft
2500 ft
3500 ft
5000 ft
Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function.
f(x) = -2x4 + 4x3 + 3x2 + 18
To list all possible rational zeros of the function f(x) = -2[tex]x^{4}[/tex] + 4[tex]x^{3}[/tex]+ 3[tex]x^{2}[/tex] + 18, apply the Rational Zeros Theorem, which suggests dividing the factors of the constant term (±1, ±2, ±3, ±6, ±9, ±18) by the factors of the leading coefficient (±1, ±2), leading to a list of possible rational zeros.
To use the Rational Zeros Theorem to find all possible rational zeros of the function f(x) = -2[tex]x^{4}[/tex] + 4[tex]x^{3}[/tex]+ 3[tex]x^{2}[/tex] + 18, we need to look at the factors of the constant term and the leading coefficient. For the constant term (18), the factors are
±1, ±2, ±3, ±6, ±9, ±18. For the leading coefficient (-2), the factors are ±1 and ±2. According to the Rational Zeros Theorem, the possible rational zeros are obtained by taking all the factors of the constant term and dividing them by the factors of the leading coefficient.
The list of all possible rational zeros is ±1, ±2, ±3, ±6, ±9, ±18, ±1/2, ±3/2, ±9/2, and ±18/2.
A hiker leaves camp and hikes 9 miles north and than hikes 7 miles east. What is the resulting displacement of the hiker?
Ross drove 300 miles at r miles per hour and 360 miles at r+10 miles per hour. If the time needed to drive 300 miles was equal to the time needed to drive 360 miles, find the rates at which Ross drove (Express the time needed for each part of the trip as t=d/r)
To evaluate the following expression, what steps should you do first? 7 × (4 + 16) ÷ 4 - 2