A number is squared, and then three is added to its square. The result is 228. What is the number?
Answer:
[(15)(15) + 3] = 225
Step-by-step explanation:
A rental car company charges $40 per day to rent a car and $0.06 for every mile driven. Aaden wants to rent a car, knowing that:
He plans to drive 100 miles.
He has at most $130 to spend.
Write and solve an inequality which can be used to determine xx, the number of days Aaden can afford to rent while staying within his budget.
We know that it costs $0.06 for every mile driven and we plan to drive 100 miles, that means we can set the inequality as:
40x + 0.06(100) ≤ 130
40x + 6 ≤ 130
Rearranging the inequality so we have the variable alone on one side, we get:
40x ≤ 124
Divide both sides by 40 to get x alone.
x ≤ 3.1
Solution: Aaden can afford to drive the car for 3 days and stay under his budget.
50 points find x
Please help
Answer:
x = 17
Step-by-step explanation:
The dash on each side means that all side lengths are equal in length.
Therefore, the shape shown is a regular polygon (hexagon).
Exterior angle of a regular polygon = 360 ÷ number of sides
⇒ Exterior angle of a regular hexagon = 360 ÷ 60 = 60°
Therefore,
4x - 8 = 60
Add 8 to both sides:
⇒ 4x = 68
Divide both sides by 4:
⇒ x = 17
Calculate the Social Security and Medicare tax that would be applied to an annual salary of $35,400,
a. Social Security tax: $2,194.80, Medicare tax: $513.30
b. Social Security tax: $21,948.00, Medicare tax: $5,133.00
C Social Security tax: $6,621.60, Medicare tax: $513.30
d. Social Security tax: $66,216.00, Medicare tax: $5,133.00
Answer:
the answer is A)Social Security tax: $2,194.80, Medicare tax: $513.30
Step-by-step explanation:
The Social Security and Medicare tax that would be applied to an annual salary of $35,400 is: a. Social Security tax: $2,194.80, Medicare tax: $513.30.
Social Security tax and Medicare tax:Social security tax rate is 6.2% of the annual salary while Medicare tax rate is 1.45% of the annual salary.
Hence:
Social security tax=6.2%×$35,400
Social security tax=$2,194.80
Medicare tax=1.45%×$35,400
Medicare tax=$513.30
Inconclusion the Social Security and Medicare tax that would be applied to an annual salary of $35,400 is: a. Social Security tax: $2,194.80, Medicare tax: $513.30.
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Use the parabola tool to graph the quadratic function f(x)=(x−4)(x+2).
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
Answer:
your m
Step-by-step explanation:
PLEASE HELP ASAP!!!
Match the graph with the correct equation.
A. y+1= -1/4 (x+5)
B. y-1= -4 (x+5)
C. y-1= -1/4 (x+5
D.y-1= -1/4 (x-5)
Answer:
Step-by-step explanation:
20 points
The letters in the word "MISSISSIPPI are each written on an index card
and placed in a paper bag. What is the probability of choosing the letter
"S" from the bag? *
4/11
7111
4/7
06/11
Submit
Answer:
4/11
Step-by-step explanation:
The word "MISSISSIPPI" has 11 letters in it and has 4 "S". So, the probability of you picking a S out of a paper bag would be 4/11.
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
q(a+1) - 2q(a) if q(x) = x²+3x+4
[tex]q(x) = {x}^{2} + 3x + 4 [/tex]
_________________________________
Step(1)
To find q(a) we just need to put a instead of x in q(x) function.
Let's do it...
[tex]q(a) = {a}^{2} + 3a + 4 [/tex]
Multiply sides by -2 :
[tex] - 2q(a) = - 2( {a}^{2} + 3a + 4) [/tex]
[tex] - 2q(a) = - 2 {a}^{2} - 6a - 8 [/tex]
_________________________________
Step (2)
To find q(a+1) we just need to put a+1 instead of x in q(x) function.
Let's do it...
[tex]q(a + 1) = ({a + 1})^{2} + 3(a + 1) + 4 \\ [/tex]
[tex]q(a + 1) = {a}^{2} + 2a + 1 + 3a + 3 + 4 \\ [/tex]
[tex]q(a + 1) = {a}^{2} + 5a + 8 [/tex]
_________________________________
Step (3)
[tex]q(a + 1) - 2q(a) = [/tex]
[tex] {a}^{2} + 5a + 8 - 2 {a}^{2} - 6a - 8 = \\ [/tex]
[tex] - {a}^{2} - a = - a(a + 1)[/tex]
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
The expression for q(a+1) - 2q(a) is -a² - a
Given the expression q(x) = x²+3x+4
First, we need to get the function q(a+1)
q(a+1) = (a+1)²+3(a+1)+4
Expand
q(a+1) = a² + 2a + 1 + 3a + 3 + 4
q(a+1) = a² + 5a + 8
For the function q(a)
q(a) = a²+3a+4
2q(a) = 2(a²+3a+4)
2q(a)= 2a² + 6a + 8
Taking the difference:
q(a+1) - 2q(a) = a² + 5a + 8 - ( 2a² + 6a + 8)
q(a+1) - 2q(a) = a² + 5a + 8 - 2a² - 6a - 8
q(a+1) - 2q(a) = -a² - a
Hence the expression for q(a+1) - 2q(a) is -a² - a
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How is the product of 4 and 2 shown using integer tiles?
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JE
There are (bananas, pears, and peaches in a bag. One eighth of the fruits are pears. One half are bananas. Are there more pears or bananas?
Answer:
The answer would be that there are more bananas than pears
Step-by-step explanation:
Well, if we were to put the fractions into decimal form 1/8 would be .125 and if we put 1/2 into decimal it would be 0.5 or in this case .500
And since .500>.125 that shows that there are more bananas than pears in the bag, and the other 3/8 are peaches.
PLEASE HELP!!!! I will mark braineist
the following sentence. states, Americans looking for more land and resources left their homes. Which sentence is edited correctly?
The text states, “Americans, looking for more land and resources, left their homes."
The Text states Americans looking for more land and resources left their homes.
The text states “Americans, looking for more land, and resources left their homes."
The text states, "Americans look for more land and resources left their homes".
Step-by-step explanation:
The first sentence makes the most sense since they used quotations to state what was mentioned in the text, and the punctuations/commas/point are placed correctly.
3. Find the least number should be subtracted 9240 to make perfect square.
24
Find the square root of 9240 = √9240 = 96.125... now, take the whole number in the square root of 9240 which is 96 and now square this number so, 96² = 9216. Take the 9216 and subtract it from 9240 which is 24.
3) John has decided to invest his $20,000 in two saving accounts. He decides to invest some of it at 4.5% annual interest and the rest of it at 2.5% annual interest. After one year, his total interest from both accounts is $750. How much did he invest in each account?
The amount he invested in the account that yields 4.5% interest is $7,500.
The amount he invested in the account that yields 2.5% interest is $12,500.
What is the system of equations that represent the question?a + b = $20,000 equation 1
0.045a + 0.025b = $750 equation 2
Where:
a = amount he invested in the account that yields 4.5% interest
b = amount he invested in the account that yields 2.5% interest
How much was invested in the account that yields 4.5% interest?Multiply equation 1 by 0.025
0.025a + 0.025b = 500 equation 3
Subtract equation 3 from 2
250 = 0.02a
a = 12,500
How much was invested in the account that yields 4.5% interest?Subtract 12,500 from 20,000
20,000 - 12,500 = $7,500
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Hector’s car holds 12.6 gallons of gas. If it cost $3.25 per gallon, how much does it cost for him to his tank?
Answer:
$40.95
Step-by-step explanation:
Simply multiply 12.6 by 3.25.
Hope that helps!
Find the measure of ∠ABC.
Answer:
I think it's just 100
Step-by-step explanation:
Its 100 because it's a litteraly on 100
I need this fast pls
w ≥ 652.5
On 652.5, plot a closed point to the right.
Answer:
w ≥ 652.5- (B, the second choice)
Step-by-step explanation:
To graph, you would put a closed dot on 652.5
:) Hope this helped
Have a wonderful day
I know math isn't always easy, but you will get through this!
list two numbers that have the same value as 34 divided 3
Answer:
89/8
99/9
Step-by-step explanation:
34/3 =11.33
can anyone help me find the surface area of the problem and give an explanation, too. it would be very appreciated!
I'm assuming the formula is SA= hp+ 2(B)
hp= height * perimeter
2(B)= 2 * base
Answer:
731 square feet
Step-by-step explanation:
The surface area can be found using the given formula, along with the formula for the area of a trapezoid. (The bases have the shape of a trapezoid.)
We are given "h", so we need to find "p" and "B" for the formula.
__
Lateral Area dimensionsThe perimeter is the sum of the side lengths:
p = 13 ft + 7 ft + 10 ft + 8 ft = 38 ft . . . perimeter
The height is shown as 15 ft.
__
Base AreaThe base area is the area of a trapezoid with base lengths 13 ft and 10 ft and height 7 ft. (The height is the perpendicular distance between the parallel bases. The two right angle corners show you the bases are parallel, and that 7 ft is the distance between them.)
A = 1/2(b1 +b2)h
A = 1/2(13 ft +10 ft)(7 ft) = 80.5 ft²
__
Total Surface AreaUsing your formula for the surface area, we find ...
SA = hp +2(B)
SA = (15 ft)(38 ft) +2(80.5 ft²) = 570 ft² +161 ft²
SA = 731 ft²
The area of the trapezoidal prism is 731 square feet.
What is the factored form of x2 - 6x – 16?
O (x – 4)(x - 2)
O (x + 4)(x - 2)
O (x-2)(x + 8)
O (x-8)(x + 2)
The factored form of equation x² - 6x - 16 is,
⇒ (x - 8) (x + 2)
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The equation is,
⇒ x² - 6x - 16
Now, We can simplify as;
⇒ x² - 6x - 16
⇒ x² - 8x + 2x - 16
⇒ x (x - 8) + 2(x - 8)
⇒ (x - 8) (x + 2)
⇒ (x - 8) (x + 2)
Thus, The factored form of equation x² - 6x - 16 is,
⇒ (x - 8) (x + 2)
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A chef trimmed fat off a steak and was left with a steak a weighing 8.80 ounces. If the weight of the fat was equal to 12 percent of the original weight, what was
the original weight, in ounces, of the steak?
Answer:
10.00
Hope it helps!!!brainliest pls!!!Lori creates the following design for a T-shirt.
Lori found the areas of Triangle 1 and Rectangle 1. Find the areas of the remaining figures.
The area of Rectangle 1 is 8.68 square inches.
The area of Triangle 1 is 6.48 square inches.
The area of Rectangle 2 is ... square inches.
The area of Triangle 2 is ... square inches.
The area of the whole figure is ... square inches.
Johnny Drive 150 miles in 3 hours. What is the unit rate
Answer:
50 mph
Step-by-step explanation:
r = d/t
r = 150/3 = 50
Answer:
1 hour = 50 Miles therefore 3 hours × 50 miles = 150 miles×per hour.
A loaf of bread costs Rs.0.79 today. If its price increases by 6% per year, how much will an equivalent loaf cost in 20 years?
Answer:
.79x(.06x20)=.948
round up to .95
Compounding is a process where the interest is credited to the initial amount and interest, on the whole, is charged again. The price of the loaf of bread after 20 years will be 2.53.
What is compounding?Compounding is a process where the interest is credited to the initial amount and interest, on the whole, is charged again. And this continues for t period of time.
It is given by the formula,
A = P(1+r)ⁿ
where A is the value after n period of time, P is the initial amount, and,
r is the rate of increment or decrement.
Given that a loaf of bread costs Rs.0.79 today, and its price increases by 6% per year. Therefore, the price of bread will increase every year by 6% of the previous year's cost. Thus, it can be concluded that the price increases compounding.
Therefore, the equivalent loaf cost in 20 years will be,
Cost of the loaf after 20 years = 0.79(1+0.06)²⁰
= 0.79(3.2071)
= 2.53
Hence, the price of the loaf of bread after 20 years will be 2.53.
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Which equation is equivalent to the given equation?
HELP
PLEASE HELP ASAP!!! WILL GIVE BRALIEST!!
Answer:
Its d!
Step-by-step explanation:The answer is D:)
Which set of angles are corresponding angles?
A) 1 and 5
B) 1 and 4
C) 2 and 4
D) 3 and 5
Answer:
Step-by-step explanation:
A) 1 and 5 are corresponding angles.
Answer:
Option A: 1 and 5
Step-by-step explanation:
The correct answer is 1 and 5, option A.
-8.46 greater or less than 5.31
Hello.
-8.46 is less than 5.31, because it is negative.
Answer:
-8.46 is less than 5.31
Step-by-step explanation:
-8.46 is a negative number, which is smaller than the positive number 5.31
Positive numbers are always greater than negative numbers.
I WILL GIVE BRAINLIEST PLEASE HELP
This scatter plot shows hot drink sales and outside temperature above 0 °F. The equation represents the linear model for this data.
y=−12x+50
According to the model, how many hot drinks are sold when the temperature is 0 °F?
Answer:
50
Step-by-step explanation:
HELP PLEASE I will give brainliest
Answer:
1 and 4/15
Step-by-step explanation:
Answer:
1 4/15
Step-by-step explanation:
simple subtracting
If the m 4 = 12x - 10 and m5 is 10x + 10. Find the value of x.