First we have to find 25% of 900 pounds (i hope that's the right currency). so 900 x .25 = 225
so we subtract 225 from 900 and get 675 pounds.
to find sales tax we have to find 6% of 675, so 675 x .06 = 40.50
675 + 40.50 = 715.5 pounds
Find the missing part. l = 8, w = 4, h = 2 Find the diagonal (d) of the base.
pythagoras
a^2 = b^2 + c^2
a^2 = (8)^2 + (4)^2
a^2 = 64 + 16
a^2 = 80
[tex]a = \sqrt{80} [/tex]
Answer:
The length of the diagonal (d) = 4[tex]\sqrt{5}[/tex] units.
Step-by-step explanation:
We are given the length (l) = 8, width (w) = 4 and height (h) = 2.
Now we have to find the diagonal of the base.
The given figure is a rectangle box. The base of the rectangular box is a rectangle with the length (l) = 8 and the width(w) = 4
The length of the diagonal (d) = [tex]\sqrt{l^2 + w^2}[/tex]
d = [tex]\sqrt{8^2 + 4^2}[/tex]
d = [tex]\sqrt{64 + 16}[/tex]
d = [tex]\sqrt{80}[/tex]
d = [tex]\sqrt{16} \sqrt{5}[/tex]
d = 4[tex]\sqrt{5}[/tex]
So, the length of the diagonal (d) = 4[tex]\sqrt{5}[/tex] units.
FACTOR THE TRINOMIAL: x^2+6x+5
PLZZ HELP AND ANSWER W/ STEPS
Answer: (x + 1)(x + 5)
Step-by-step explanation:
Need to find two numbers whose product is the c-value (5) and whose sum is the b-value (6).
x² + 6x + 5
∧
1 + 5 = 6 this works!
So the factors are: (x + 1)(x + 5)
A dinner plate has a diameter of 14 inches. Approximately how many square inches is the area of the plate?
Answer:
153.94 square inches
Step-by-step explanation:
A = Pi(r)^2
A = Pi(7)^2
A = Pi(49)
A = 153.93804
Answer: 153.938 [tex]in^{2}[/tex]
Step-by-step explanation:
π = 3.14 and d = diameter
* Hopefully this helps:) Mark me the brainliest:)
∞ 234483279c20∞
1/2 + 1/6 is simplest form
Answer:
[tex]\frac{2}{3}[/tex]Step-by-step explanation:
[tex]\frac{1}{2}[/tex] + [tex]\frac{1}{6}[/tex]
⇒ [tex]\frac{3}{6}[/tex] + [tex]\frac{1}{6}[/tex] = [tex]\frac{4}{6}[/tex]
⇒[tex]\frac{2}{3}[/tex]
what is the area of this parallelogram? A 10.35 cm2 B 12.5 cm2 C 20.25 cm2 D 30.6 cm2
If g(x)=x^2+2find g (3)
Answer:
3^2 = 9
9+2 = 11
g(3)= 11
Step-by-step explanation:
ANSWER
[tex]g(3) = 11[/tex]
EXPLANATION
The given function is
[tex]g(x) = {x}^{2} + 2[/tex]
We substitute b x=3 into the function to obtain;
[tex]g(3) = {3}^{2} + 2[/tex]
Simplify;
[tex]g(3) = 9 + 2[/tex]
[tex]g(3) = 11[/tex]
Which of the following is the solution to the following system of inequalities? Let the green region represent the solution set. X+2y<=4 3x-y>2
Answer:
See picture attached.
Step-by-step explanation:
To find the solution, graph each equation using the y = mx + b form.
Start by converting to this form.
x + 2y < 4 becomes y < -1/2x +2
3x - y > 2 becomes y < 3x - 2
Then mark each y-intercept. These points are (0,2) and (0,-2).
Using the slope mark the next points at (-1,4) and (1, -1) respectively.
Connect using dash lines since this is not equal to in either inequality.
Test a point no on either line like (-1,-1).
If the inequality holds true, shade the area.
Where the areas overlap is the solution. See picture.
Inequalities are used to represent unequal expressions.
The solution to the inequality is [tex]x \le \frac 87[/tex] and [tex]y < \frac{10}7[/tex]
The inequalities are given as:
[tex]x + 2y \le 4[/tex]
[tex]3x - y > 2[/tex]
Express both inequalities as equations'
[tex]x + 2y = 4[/tex]
[tex]3x -y = 2[/tex]
Make y the subject in [tex]3x -y = 2[/tex]
[tex]y = 3x - 2[/tex]
Substitute [tex]y = 3x - 2[/tex] in [tex]x + 2y \le 4[/tex]
[tex]x + 2(3x - 2) \le 4[/tex]
Open brackets
[tex]x + 6x - 4 \le 4[/tex]
[tex]7x - 4 \le 4[/tex]
Collect like terms
[tex]7x \le 4+4[/tex]
[tex]7x \le 8[/tex]
Divide both sides by 7
[tex]x \le \frac 87[/tex]
Substitute 8/7 for x in [tex]3x - y > 2[/tex]
[tex]3 \times \frac 87 - y > 2[/tex]
[tex]\frac{24}7 - y > 2[/tex]
Collect like terms
[tex]- y > 2 -\frac{24}7[/tex]
Take LCM
[tex]- y > \frac{14 -24}7[/tex]
[tex]- y > \frac{-10}7[/tex]
Divide both sides by -1
[tex]y < \frac{10}7[/tex]
Read more about inequalities at:
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Find all polar coordinates of point P where P = ordered pair 5 comma negative pi divided by 6 .
A.(5, negative pi divided by 6 + 2nπ) or (-5, negative pi divided by 6 + 2nπ)
B.(5, negative pi divided by 6 + 2nπ) or (-5, negative pi divided by 6 + (2n + 1)π)
C.(5, negative pi divided by 6 + 2nπ) or (5, pi divided by 6 + (2n + 1)π)
D.(5, negative pi divided by 6 + (2n + 1)π) or (-5, negative pi divided by 6 + 2nπ)
Answer:
The correct option is B.
Step-by-step explanation:
If polar coordinates of point P are
[tex]P=(r,\theta)[/tex]
Where, r is real number and θ is in radian, then all polar coordinates of point P are defined as
[tex]P=(r,\theta+2n\pi)[/tex]
[tex]P=(-r,\theta+(2n+1)\pi)[/tex]
The given coordinates are [tex]P(5,-\frac{\pi}{6})[/tex]. So, all polar coordinates of point P are
[tex]P=(5,-\frac{\pi}{6}+2n\pi)[/tex]
[tex]P=(-5,-\frac{\pi}{6}+(2n+1)\pi)[/tex]
Therefore correct option is B.
What is the slope of the line with the equation 3y+5x=4
Question 4 options:
-5
−53
35
3
I think none of these are right. It's Y=-5/3x +4/3
ANSWER
[tex] - \frac{5}{3} [/tex]
EXPLANATION
The given line has equation
[tex]3y + 5x = 4[/tex]
Rewrite the equation in the form:
[tex]y = mx + b[/tex]
Add -5x to both sides.
[tex]3y + 5x - 5x = - 5x + 4[/tex]
[tex]3y = - 5x + 4[/tex]
Divide through by 3.
[tex]y = - \frac{5}{3}x + \frac{4}{3} [/tex]
Comparing to the slope intercept formula,
[tex]m = - \frac{5}{3} [/tex]
The slope is
[tex] - \frac{5}{3} [/tex]
The bases of a trapezoid are 20 and 32 feet. The height of the trapezoid is 6 feet
Answer:
The Answer is 156
Step-by-step explanation:
A=(B1+B2)H/2
1) to find the area of a trapezoid you must First add the 2 bases
20+32= 52
2) Then Multiply the 2 bases sum by the Height
52 x 6 = 312
3) divide the product 312 By 2
312/2= 156
That is Your answer!
Hopes this helps!
For the area of a trapezoid use formula: Area = (BaseX+BaseY) times Height divided by 2.
so for this problem you’d plug in (20+32) times 6 then divide it by two.
20+32=52 times 6 equals 312
Divide by 2 and you get 156.
Area= 156
Square root of 2y+3=11 what’s the value of y in this equation
Answer:
y=4
Step-by-step explanation:
2y+3=11
Subtract 3 from both sides: 2y=8
Divide both sides by 4: y=4
Answer:
Step-by-step explanation:
2y square root plus 3 = 11
[tex] {x}^{2} - 64[/tex]
(x-8) (x+8) is the answer
If b2 + 2b − 24 = 0, and b < 0, what is the value of b?
A) −6
B) −4
C) −2
D) 0
The value of b is -6.
Explanation:To find the value of b, we need to solve the quadratic equation b2 + 2b - 24 = 0.
Since b < 0, we can eliminate the positive solution.
We can factor the equation by finding two numbers whose product is -24 and sum is 2.
The numbers are -4 and 6.
So, the factored form of the equation is (b - 4)(b + 6) = 0.
Setting each factor equal to zero, we find that b = -6 or b = 4.
Since b < 0, the value of b is -6.
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Final answer:
Using the quadratic formula, we find that b = -6 (option A), considering the requirement that b < 0 for the equation b² + 2b - 24 = 0.
Explanation:
To find the value of b given the quadratic equation b² + 2b − 24 = 0 and knowing that b is less than zero, we can use the quadratic formula:
The quadratic formula is −b ± √(b² − 4ac /2a), where a, b, and c are coefficients from the quadratic equation in the form ax2 + bx + c = 0.
In this case, a = 1, b = 2, and c = −24. Applying these values to the quadratic formula, we have:
−(2) ± √((2)² − 4(1)(−24) /2(1))
The discriminant part of the formula, b² − 4ac, equals (2)² − 4(1)(−24) = 4 + 96 = 100. Therefore, the square root of the discriminant is 10.
Simplifying further, we have:
(−2 ± 10) / 2 = −6 or +8
Since b < 0, we disregard the positive solution and consider b = −6, which is option A.
find all numbers whose absolute value is 6
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷The answer is 6 and -6.
Since absolute value is to figure the distance from 0, it is regardless of positive or negative.
6, -6 are the only numbers.
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
DOGE
A distribution has a mean of 16 and a standard deviation of 6. What is the Z score that corresponds with 34?
Answer:
Z = 3
Step-by-step explanation:
In a normal distribution, the Z score that corresponds with a data point x is calculated using the formula;
[tex]Z=\frac{x-mean}{standard deviation}[/tex]
For the case given, the z score will be;
[tex]Z=\frac{34-16}{6}=3[/tex]
Ameri is standing 50 feet from the base of a building from where he stands the angle formed between the top of the building in the ground at his feet is 60 how tall is the building
Answer:
The answer would be...
Step-by-step explanation:
50 square root of 3 ft
Answer:
The answer is C.50 StartRoot 3 EndRoot ft
Step-by-step explanation:
Which expression is equivalent to m^2-13m-30?
(m – 15) (m + 2)
(m – 10) (m – 3)
(m + 15) ( m – 2)
(m + 10) (m + 3)
Answer: First option
Step-by-step explanation:
You have the quadratic equation given in the problem:
[tex]m^2-13m-30[/tex]
To find an equivalent expression you cacn factorize. Find two numbers whose sum is -13 and whose product is -30.
These numbers would be -15 and 2.
Therfore, you obtain the following equivalent expression:
[tex](m-15)(m+2)[/tex]
If you don't want to apply the method above, you can use the quadratic formula:
[tex]x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}[/tex]
Where:
[tex]a=1\\b=-13\\c=-30[/tex]
When you susbstitute values you obtain that:
[tex]x=15\\x=-2[/tex]
Then you can rewrite the equation as [tex](m-15)(m+2)[/tex]
Answer:
[tex](m-15)(m+2)[/tex]
Step-by-step explanation:
The given expression is
[tex]m^2-13m-30[/tex]
Split the middle term
[tex]m^2-15m+2m-30[/tex]
Factor
[tex]m(m-15)+2(m-15)[/tex]
Factor further to obtain;
[tex](m-15)(m+2)[/tex]
The correct answer is A.
What is the Slope and y intercept
Answer:
The slope is .075 and the y intercept is -.125
Step-by-step explanation:
8y = .2(3x -5)
Distribute the .2
8y = .6x - 1
Divide by 8
8y/8 = .6x/8 -1/8
y = .075x -.125
This is in slope intercept form y= mx+b where m is the slope and b is the y intercept.
The slope is .075 and the y intercept is -.125
What is the capacity of the cube in liters 7 cm
Answer:
0.343 L
Step-by-step explanation:
A liter has 1000 mL which is 1000 cm^3
The volume of the cube = s^3
s = 7
Volume = 7^3
V = 343 cc
The number of liters = 343 / 1000 = 0.343 L
Select the correct answer.
What would be the tax amount to be paid on $22,000 taxable income according to the marginal tax rate (tax rate below $9,225 is 10%, and between $9226 and $37,450 is 15%)?
A: $2536.50
B: $3123.25
C: $2838.75
D: $1225.25
Answer:
I'd go with B because it's closest, not sure if some context is missing to get an exact answer....
Step-by-step explanation:
22000 falls in the 15% tax rate bracket
Tax=income•rate
Tax=22000•(15/100)
Tax=3300
Answer:
The answer is C
Step-by-step explanation:
convert 84 inches to yards
Answer:
The answer is 2.333 yards
Step-by-step explanation:
In every one yard there's thirty-six inches.
84/36= 2.333
Hope this helps :)
To convert 84 inches to yards, first convert inches to feet by dividing by 12, resulting in 7 feet. Then, convert feet to yards by dividing by 3, resulting in approximately 2.33 yards.
To convert 84 inches to yards, we need to use the relationships between inches, feet, and yards.
Start by converting inches to feet, and then convert feet to yards.
1. Convert inches to feet:
There are 12 inches in a foot, so divide the number of inches by 12.
84 ÷ 12
= 7 feet
2. Convert feet to yards:
There are 3 feet in a yard, so divide the number of feet by 3.
7 ÷ 3
= 2.33 yards
Thus, 84 inches is equal to approximately 2.33 yards.
A circle is centered at the point -3 2 and passes through the point 1 and 5 the radius of the circle is blank units
Answer:
The radius of the circle is 5 units
Step-by-step explanation:
Given in the question,
centered point = (-3 , 2)
a point in the circle = (1,5)
To find the radius of circle we will use the circle equation
(x – h)² + (y – k)² = r²,
with the centre being at the point (h, k) and the radius being r.
Plug values in the equation
(1 – (-3))² + (5 – 2)² = r²
(1+3)² + (3)² = r²
4² + 3² = r²
25 = r²
r = √25
r = 5
solve and simplify using the square root property x2-8=11
Answer:
x = ±sqrt(19)
Step-by-step explanation:
x^2-8=11
Add 8 to each side
x^2-8+8=11+8
x^2 = 19
Take the square root of each side
sqrt (x^2) = ±sqrt(19)
x = ±sqrt(19)
Which equation is an identity?
3w + 8 – w = 4w – 2(w – 4)
–3y + 3 = –3y – 6
9 – (2v + 3) = –2v – 6
7m – 5 = 8m + 7 – m
Answer:
3w + 8 – w = 4w – 2(w – 4)Step-by-step explanation:
[tex]3w+8-w=4w-2(w-4)\qquad\text{use the distributive property}\\\\2w+8=4w-2w+8\\\\2w+8=2w+8\qquad\text{subtract}\ 2m\ \text{from both sides}\\\\8=8\qquad\bold{TRUE}[/tex]
[tex]-3y+3=-3y-6\qquad\text{add}\ 3y\ \text{to both sides}\\\\3=-6\qquad\bold{FALSE}\\\\9-(2v+3)=-2v-6\\\\9-2v-3=-2v-6\qquad\text{add}\ 2v\ \text{to both sides}\\\\6=-6\qquad\bold{FALSE}\\\\7m-5=8m+7-m\\\\7m-5=7m+7\qquad\text{subtract}\ 7m\ \text{from both sides}\\\\-5=7\qquad\bold{FALSE}[/tex]
What is 3 8/9 - 1 5/8
Answer:
2 19/72
Step-by-step explanation:
Overall without stating all the steps, it'd be 2.
Besides 6 and 1, what is one factor of 6?
Three times two equals six
Another factor of 6, besides 6 and 1, is 3. Factors are numbers that divide into another number without leaving any remainder. Both 2 and 3 are factors of 6 since 2 multiplied by 3 equals 6.
Besides 6 and 1, another factor of 6 is 3.
Factors are whole numbers that divide evenly into another number. For the number 6, the factors are 1, 2, 3, and 6. The process of factoring involves finding all numbers that you can multiply together to get the number in question. In this case, 2 multiplied by 3 equals 6.
We can also verify this by noting that dividing 6 by 3 gives us 2 with no remainder, confirming that 3 is indeed a factor of 6.
9. What’s the answer to this please
Solve for x. |x| – 5 = 7
Answer:
x = 12Step-by-step explanation:
x - 5 = 7
⇒ x = 7 + 5 = 12
To solve for x, add 5 to both sides of the equation and then determine the absolute value of x.
Explanation:To solve for x in the equation |x| – 5 = 7, we need to isolate x on the left side of the equation. To do this, we can add 5 to both sides:
|x| – 5 + 5 = 7 + 5
|x| = 12
Now, we have an absolute value equation. The absolute value of a number is its distance from zero. Therefore, we have two possible solutions: x = 12 or x = -12.
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the table shows how much jake charged for the last 4 orders of pup cakes. what is the constant of proportionality in cost per pup cake?
Answer:
$2.50
Step-by-step explanation:
Let's take a look at the 4 orders and check the price per pup cake in each order:
Order 1: $5 for 2 cakes, so $2.50 per cake.
Order 2: $7.50 for 3 cakes, so $2.50 per cake.
Order 3: $12.50 for 5 cakes, so $2.50 per cake.
Order 4: $20.00 for 8 cakes, so $2.50 per cake.
Jake has a very consistent pricing of his cakes... they're always $2.50 each.
That price is the relation between the price asked and the number of cakes sold, that's the constant of proportionality in this case.
Answer:
Option 3rd is correct
$2.5 is the constant of proportionality in cost per pup cake
Step-by-step explanation:
The direct proportionality states that:
[tex]y \propto x[/tex]
then the equation is in the form of :
[tex]y = kx[/tex] ....[1]
where, k is the constant of proportionality.
As per the statement:
The table shows how much Jake charged for the last 4 orders of pup cakes.
Let y represents the cost and x represents the pup-cakes
Consider any values of x and y from the given tables.
x = 3 and y = $7.5
To find constant of proportionality in cost per pup cake.
Substitute these in [1] we have;
[tex]7.5 = 3k[/tex]
Divide both sides by 3 we have;
2.5 = k
or
k = 2.5
Therefore, $2.5 is the constant of proportionality in cost per pup cake
Given that the radius of the circle is 5 cm , calculate the area of the shaded sector. (Take pie = 3.142). Someone please help me out.
THE AREA OF A CIRCLE = πr^2
Here π = 3.142
r = 7.5
now A = πr^2
A = 3.142× 7.5×7.5
A = 176.7375cm^2
Hope it helped you.
Answer:
The area of shaded = 13.09 cm^2
Step-by-step explanation:
360 /6 = 60
So the shaded area is 1/6 of the circle
Area of circle = pie r^2
So area of shaded = 1/6(pie r^2)
= 1/6 * 3.142 * 5^2
= 13.09 cm^2