The sales tax would be $42.00, making the total cost $112.00.
To calculate the sales tax on an item, one must first convert the sales tax rate from a percentage to a decimal. Converting 60% to a decimal by dividing by 100 gives us 0.60.
Then, multiply this decimal by the selling price to find the amount of sales tax.
Amount of sales tax = price x rate of sales tax
So for a selling price of $70.00, the sales tax would be calculated as follows:
= $70.00 x 0.60 = $42.00
The sales tax on a $70.00 item at a rate of 60% is $42.00.
To find the total cost, one must add this tax to the original selling price.
Total cost = selling price + sales tax
Total cost = $70.00 + $42.00
Total cost = $112.00
Thus, the total amount paid including sales tax would be $112.00.
Please help me ASAP 50 points
Answer:
x=2
Vertex (2,-8)
Intercepts: 2 ±2/3 sqrt(6)
Because the parabola opens upwards, it has a minimum at the vertex
Domain: all real numbers
Range: y>= -8
Step-by-step explanation:
y= 3x^2 -12x+4
To find the axis of symmetry, we use the formula
h= -b/2a where ax^2 +bx+c
h = -(-12)/2*3 = 12/6=2
The axis of symmetry is x=2
The x coordinate of the vertex is at the axis of symmetry. To find the y coordinate, substitute x into the equation
y= 3(2)^2 -12(2) +4
y = 3*4-24+4
= 12-24+4
= -8
The vertex is at (2,-8)
We can use the quadratic formula to find the x intercepts
x = -b ±sqrt(b^2-4ac)
-----------------------
2a
= 12 ± sqrt(12^2 - 4*3*4)
---------------------------------
2*3
= 12± sqrt(144-48)
----------------------
6
= 12±sqrt(96)
---------------
6
=2 ±1/6 * 4sqrt(6)
= 2 ±2/3 sqrt(6)
Because the parabola opens upwards, it has a minimum at the vertex.
The domain is the values that x can take.
X can be all real numbers
The range is the values that y can take. Since there is a minimum, y must be greater than that minimum
Range: y>= -8
Answer:
y>= -8
Step-by-step explanation:
What is the LARGEST number of real zeros a polynomial with degree n can have?
Answer:
n
Step-by-step explanation:
The zeros of the function are the x-intercepts of the function. They can be real or imaginary. The most a polynomial can have is its degree. If the degree is n then there can be n amount.
Find the value of each variable. (Please help I’m so stuck)
Answer:
x = z = 45°, y = 90°
Step-by-step explanation:
This is an isosceles triangle ( given 2 equal sides )
Hence x = z ( base angles )
z and 135° form a straight angle and are supplementary
z = 180° - 135° = 45°
hence x = z = 45°
the sum of the 3 angles in the triangle = 180°
To find y subtract the sum of x and z from 180
y = 180° - (45 + 45)° = 180° - 90° = 90°
How Many Pumpkins Did Kate Sell This Weekend
Answer:
60 pumpkins
Step-by-step explanation:
Saturday, she sold 6*7 pumpkins. That's 42 pumpkins.
Sunday, she sold 6*3 pumpkins. That's 18 pumpkins.
42+18=60
A box of light fixtures cost $43 if you had $600 and I bought is moving boxes as you could how much money would you have left
Answer:
13 Boxes with $41 left over
Step-by-step explanation:
$600/$43 = 13.9 (so she can buy 13 boxes of light fixtures)
$43 x 13 = $559
$600-$559=$41 left over
how can 12x50 help you find 12x49
Whether using mental math to recognize the proximity of 12x49 to 12x50 or applying the distributive property, both methods yield the result 588 for the multiplication of 12 and 49.
Method 1: Using mental math:
Recognize that 12x50 = 600, a number that many people find easier to work with mentally.
Since 49 is one less than 50, 12x49 is essentially one group of 12 less than 12x50.
Therefore, simply subtract 12 from 600: 12x49 = 600 - 12 = 588.
Method 2: Using the distributive property:
Recall the distributive property: a(b + c) = ab + ac. In this case, a = 12, b = 50, and c = -1 (since 49 is 1 less than 50).
Apply the distributive property: 12(50 - 1) = 12 * 50 + 12 * (-1).
Simplify: 12x49 = 600 - 12 = 588.
Therefore, regardless of the method you choose, 12x50 serves as a stepping stone to calculating 12x49 by either providing a familiar reference point (600) or allowing you to leverage the distributive property.
74.362 to the nearest tenth
Answer:
73.4
Step-by-step explanation:
When they ask for the nearest tenth you check the hundreth, it its 5 or ore than you increase the tenth
The number 74.362 would round down to 74.4
For Rounding some number to a specific value is making its value simpler mostly done for better readability or accessibility.
Rounding to some place keeps it accurate on the left side of that place but rounded or sort of trimmed from the right in terms of exact digits.
We need to round 74.362 to the nearest tenth,
To round 74.362 to the nearest tenth, we need to look at the digit in the hundredth place, which is 2. Since 2 is less than 5, we round down and keep 4.
Therefore, rounding 74.362 to the nearest tenth gives us 74.4.
Learn more about rounding numbers here:
brainly.com/question/1285054
#SPJ6
CHECK MY WORK PLEASE AND ANSWER SOME QUESTION!!!!!!!! ASAP
WILL GIVE BRAINIEST
Which number is a solution of the inequality?
g > 6.4
A. 7***
B.6
C.6.4
D.-7
Which number is a solution of the inequality?
y+2>8
A. -5
B.-6
C.6***
D.7
Which number is a solution of the inequality? ( i need help with this one and on)
6>z(10-z)
A. 0
B.1
C.2
D.3
If N is the set of natural numbers that are factors of 24, choose the selection below that correctly shows this set in roster form.
A. {2, 4, 6, 12}
B. { 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24}
C. { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24}
D. { 1, 2, 3, 4, 6, 8, 12, 24}
1.
g > 6.4
Answer: A. 7 > 6.42.
y + 2 > 8 subtract 2 from both sides
y > 6
Answer: D. 7 > 63.
6 > z(10 - z)
A. z = 0 → 6 > 0(10 - 0) → 6 > 0 CORRECT
B. z = 1 → 6 > 1(10 - 1) → 6 > 1(9) → 6 > 9 FALSE
C. z = 2 → 6 > 2(10 - 2) → 6 > 2(8) → 6 > 16 FALSE
D. z = 3 → 6 > 3(10 - 3) → 6 > 3(7) → 6 > 21 FALSE
Answer: A. 04.
The list of factors of 24:
1, 24, 2, 12, 3, 8, 4, 6
Answer: D. {1, 2, 3, 4, 6, 8, 12, 24}Beanbag chairs it normally sell for $36.30 on sale for $32.12 find the percent of discount
Answer:
Step-by-step explanation:
830000 in scientific notation
Answer:
8.3 * 10 ^5
Step-by-step explanation:
830000
To change this to scientific notation, we move the decimal 5 places to the left. The exponent will be positive 5 because we moved it to the left
8.3 * 10^ +5
8.3 * 10 ^5
janice buys 74 packs of gum in a variety of flavors. she chooses twice as many packs of green apple gum as packs of spearmint gum and 6 fewer packs of cinnamon gum that packs of green apple gum. How many packs of spearmint gum does janice buy?
Answer:
A) 16
Step-by-step explanation:
g= green apple
c= cinnamon
s= spearmint
74=g+c+s
g=2s
g-6=c
so we can replace c in the equation
74=g+g-6+s (because c=g-6)
we can also replace g in the equation
2s+2s-6+s=74 (because g=2s)
so, 5s-6=74 (add 6 to both sides)
5s=80 (divide by 5)
s=16
Answer: Hello there!
Let's define G has the number of packs of green apple, S as the number of packs of spearmint, and C as the number of packs of cinnamon.
Now we want to know the number of spearmint gum packs that Janice buys:
We know that:
G + S + C = 74
G = 2S
G - C = 6
Now we have a system of 3 equations and 3 variables, let's solve it.
In the second equation we can remove G of the equations, and replace it in the first and third equation:
G + S + C = 74
2S + S + C = 74
3S + C = 74
and
G - C = 6
2S - C = 6
Now we only have two equations, lets isolate C in the second equation
2S - C = 6
C = 2S - 6
now we can replace it in the first equation, and solve it for S
3S + C = 74
3S + 2S - 6 = 74
5S = 74 + 6 = 80
S = 80/5 = 16
She buy's 16 packs of spearmint gum.
Can someone explain this please ? Like explain how to do it
Answer:
-2
Step-by-step explanation:
First, you have to find the slope.
Rise 1
------- = ------ = 1
Run 1
So, the slope is 1.
Next, if you write the graph in the slope intercept from, then it will be,
y=mx+b
y=1x+-3
We already know that x is 1 So,
y=1(1)+-3
y=-2
So, the answer is -2! Hope this helps!!!
Answer:
When x = 1 , y = -2.
Step-by-step explanation:
I'm assuming you want the equation of this line.
The 2 points close together are (0, -3) and (-1, -4).
Slope = (y1-y2) / (x1 -x2)
= (-4-(-3)) / (-1 - 0)
= -1 / -1 = 1
The y-intercept is where y = -3.
The equation of a straight line is y = mx + c where m = the slope and c = the y-intercept, so the equation of this line is y = 1x - 3
or y = x - 3 (the 1 may be omitted).
When x = 1, y = 1 - 3 = -2 (answer)
You spent z dollars today. Today, you spent 5.5 times as many dollars as you spent yesterday. Which expression correctly shows how much you spent yesterday?

5.5z

5.5 ÷ z

5.5(1 − z)

z ÷ 5.5

none of the above
Answer:
Z ÷ 5.5
Step-by-step explanation:
The correct expression to show how much was spent yesterday when z dollars were spent today and that amount is 5.5 * the spending of yesterday is z divided by 5.5. The correct answer is option (D) z ÷ 5.5.
If you spent z dollars today and that amount is 5.5 * what you spent yesterday, to find out how much you spent yesterday, you would divide the amount spent today by 5.5. This is because the relationship between what was spent today (z dollars) and what was spent yesterday is multiplicative. Today’s spending (z) is equal to 5.5 * yesterday’s spending, so to find out what you spent yesterday, you would express it as z divided by 5.5.
Thus, the correct answer to the student's question is option (D) z ÷ 5.5.
inequalities
[tex] - 5 \times + 2 \geqslant - 48[/tex]
how do I solve it
[tex]\bf -5x+2\geqslant -48\implies -5x \geqslant -50\implies \stackrel{\textit{now, we're dividing by -5}}{\cfrac{-5x}{-5}\stackrel{\stackrel{\downarrow }{\frac{}{}}}{\leqslant}\cfrac{-50}{-5}}\implies x\leqslant 10[/tex]
what pairs of numbers that would satisfy the statement:the sum of 2 numbees is 18
There is an infinite number of such pairs. Even if you consider just the integers, there is still an infinite number of pairs. If you limit the number in the pairs to whole numbers, then here are the pairs:
0, 18
1, 17
2, 16
3, 15
4, 14
5, 13
6, 12
7, 11
8, 10
9, 9
How do I find the missing side for question 39
Hello from MrBillDoesMath!
Answer:
#39 6.1 (approx)
$41 14.6 (approx)
Discussion:
# 39
From plane trigonometry
cos(69) = x/17 or
x = 17 * cos(69) = 6.1 (approx)
#41
sin(59) = x/17 or
x = 17 * sin(59) = 14.6 (approx)
Regards,
MrB
How many solutions does the following equation have? 7(y+3)=5y+8
Answer:
Alright well solve for y by simplifying both sides of the equation then isolating the variable
Exact form: y = - 13/2
Decimal form: y = - 6.5 Hope this helps have a nice day :)
Step-by-step explanation:
At what points will Al be producing the most equal amounts of sandwiches and salads?
At what point will Al not be using his resources efficiently?
What point is not possible for production at this time??
Answer: D, Y, X
Step-by-step explanation:
The (salad, sandwich) coordinates are as follows:
A: (0, 10)
B: (1, 8)
C: (2, 6)
D: (3, 4) MOST EQUAL AMOUNTS
E: (4, 2)
F: (5, 0)
X: (4, 8) OUTSIDE OF THE PRODUCTION LINE
Y: (1, 3) UNDER THE PRODUCTION LINE
Answer:
Step-by-step explanation:
Given is a graph showing the salads produced on x axis and sandwiches produced on y axis.
The straight line ABCDEF shows the points on the straight line and Y is below the line and X is above the line.
On the line there is no point where x=y exactly.
But approximately nearer at the point where x=3 and y =4 So (3,4) is the point where most equal number are produced
2) Y is below the line meaning that resources are not utilized effectively
3) X is not possible as it is beyond the firm's capacity level shown by line ABCDEF.
Alan has an annual base salary of $24,000. In addition to his salary, he earns 8% of his total sales (S). If he wants to earn at least $56,000 next year, how much does he need to sell?
A. S > $244,480
B. S > $550,000
C. S > $448,000
D. S > $400,000
Answer:
D. S > $400,000
Step-by-step explanation:
His salary is base salary plus commission
salary = 24000 + .08 sales
He wants a salary of at least 56000
56000<= 24000 +.08 sales
Subtract 24000
56000-24000<= 24000-24000+.08*sales
32000<= .08 * sales
Divide each side by .08
32000/.08 <= .08/.08 * sales
400000<= sales
sam reads 100 words each 1/2 minute
Answer:
I think that the answer is 50 because 100 divided by 2 equals 50
Step-by-step explanation:
Answer:
The answer is 200 words a minute
Step-by-step explanation:
1/2 of a minute = 30 seconds, 60 seconds are in a minute
60/30 = 2
100*2
200 words per minute
What is (1,11)(1,-2)
Answer:
explanation
Step-by-step explanation:
That is a line on a graph that intersects both points x=1 and y=11, and x=1 and y=-2.
Carlos writes 1/8 of a page in 1/2 of a minute. How many pages will he have written in one minute?
Answer:
1/4 pages
Step-by-step explanation:
1/8 page in 1/2 minutes
X number of pages in 1 minute
Answer:
2/8
Step-by-step explanation:
Since 1/2 a minute is 1/8 of a page. One full minute would mean another 1/2, so that means we need another 1/8, and 1/8 + 1/8= 2/8
What is four and 1 fith divided by 2 thirds
Answer: 6.27 or 6.3
Step-by-step explanation: 4 1/5 ÷ 2/3 can be changed to a multiplication problem by using the reciprocal of the second fraction: 3/2
Multiply 4 1/5 by 3/2 = 6.3
Answer:
I think that the answer is 63/10
Step-by-step explanation:
PLEASE HELP ME! 44 points and will mark brainliestttt
The graphed line shown below is Y=-2X-8
Which equation, when graphed with the given equation, will form a system that has infinitely many solutions?
A Y=--(2X+8)
B y= -(2x-8)
C y=-2 (x-4)
D y= -(-2x+8)
Answer:
a
Step-by-step explanation:
no need
Suppose a+b=2a. Which one of these expressions equals b−a? Choose 1 answer: 1) 2B 2) 2A 3) A-B 4) -2B 5) -B SQUARED
The expression for [tex]\(b - a\) is \(0\)[/tex].
To find the expression for [tex]\(b - a\)[/tex], we can use the given equation [tex]\(a + b = 2a\)[/tex] and solve for [tex]\(b\).[/tex]
Starting with [tex]\(a + b = 2a\)[/tex], we can subtract [tex]\(a\)[/tex] from both sides to isolate [tex]\(b\):[/tex]
[tex]\[b = 2a - a\][/tex]
[tex]\[b = a\][/tex]
Now, we can substitute [tex]\(b = a\)[/tex] into the expression [tex]\(b - a\):[/tex]
b - a = a - a
b - a = 0
Therefore, the expression for [tex]\(b - a\) is \(0\)[/tex].
1/3(x+6) = 2/3(x-9) help please
Answer:
x = 1/24
Step-by-step explanation:
someone halp what 1+1 idk eee
Answer:
2
Step-by-step explanation:
Answer: 1+1 =2
Step-by-step explanation: If you add 1 plus another 1 you would just have to add and you will find 2.
4 lbs of onions cost $12. How many lbs of onions can you get with $147? PLEASE SHOW WORK....
Answer:
Step-by-step explanation:if is it 12 per. pound just divide 147 by 12 and you get your answer hope it was helpful
Answer:
49 lbs of onions
Step-by-step explanation:
147/12 = 12.25
12.25 x 4 = 49
What is 78.9 in word form?
78.9 in word form is, seventy-eight and nine tenths!
Hope that helped!
Seventy eight point 9 billion, i'm assuming?
Hopefully i helped you, and sorry if i'm wrong at all :(
What is the remainder when the polynomial f(x)=3x^3-4x^2+2x+8 is divided by (x-5)
The remainder when the polynomial f(x) = 3x³ - 4x² + 2x + 8 is divided by (x - 5) is constant an equal f(5).
Substitute x = 5 to the polynomial:
[tex]f(5)=3(5^3)-4(5^2)+2(5)+8=3(125)-4(25)+10+8\\\\=375-100+18=275+18=293[/tex]
Answer: (3x³ - 4x² + 2x + 8) : (x - 5) = q(x) + 293.