Answer:
Tip Total: $ 6
Tip Each Person: $ 6
Total (Bill + Tip): $ 46
Answer:
$6
total cost: $45.51
Step-by-step explanation:
to find 15% of the dinner bill. we multiply 39.51 by the decimal form of 15%, which is 0.15
39.51 x 0.15 ≈ 5.926
you can estimate this by rounding up to a $6 tip, or to include cents, you can round to $5.93
to find the total cost with the estimated amount we can add:
39.51 + 6= $45.51 is the total cost
A class of 50 students in a P.E class has dressed up for class.38% of them have on white shirts. how many students have on white shirts?
The number of students with white shirts on is 19.
The answer is 19 because you do 50 times 38 and get 1900 and divide it by a 100 and get 19.
14 = 14
14 + 3 + c = 14 + 8
Answer:
[tex]14+3+c=14+8\quad :\quad c=5[/tex]
Hope this helps!!!
"The subject of this question is Mathematics." The student asked to solve two equations, one of which is already true and the other involves finding the value of a variable. By simplifying the equation, we can find that c is equal to 5.
Explanation:The subject of this question is Mathematics.
In the equation 14 = 14, both sides are equal to each other, so the equation is true by the reflexive property of equality.
In the equation 14 + 3 + c = 14 + 8, we can simplify both sides of the equation. Starting with the left side, 14 + 3 + c becomes 17 + c. On the right side, 14 + 8 becomes 22. So, the equation can be rewritten as 17 + c = 22.
To solve for c, we subtract 17 from both sides of the equation. This gives us c = 22 - 17, which simplifies to c = 5.
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lyn invested $7,000 into a investment paying 3% interest, compounded semi-annually, twice a year. After five years, how much would the investment be worth? A=P(1+r/n)^nt
A.) $8,050.00
B.) $8,123.79
C.) $1,123.79
D.) $8,114.92
E.) $1,050.00
Answer:
Option B.) $8,123.79
Step-by-step explanation:
we know that
The compound interest formula is equal to
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
[tex]t=5\ years\\ P=\$7,000\\ r=0.03\\n=2[/tex]
substitute in the formula above
[tex]A=\$7,000(1+\frac{0.03}{2})^{2*5}[/tex]
[tex]A=\$7,000(1.015)^{10}=\$8,123.79[/tex]
The worth of the investment after 5 years at an interest of 3% is $8,123.79.
How much would the investment be worth?As the function for interest is already given to us, also,
The principal amount, P = $7,000
The rate of Interest, r = 3%
Time period, t = 5 years
Compounded semiannually, n = 2
Substitute the values,
[tex]A=P(1+\dfrac{r}{n})^{nt}[/tex]
[tex]=7000(1+\dfrac{0.03}{2})^{2 \times 5}\\\\=\$ 8,123.79[/tex]
Hence, the worth of the investment after 5 years at an interest of 3% is $8,123.79.
Learn more about Compound Interest:
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Malik buys and sells parts. he bought tires for $45
Please add more to the question.
What is the equation of the line passing through the point (-4, -5) and having a slope of 4?
A. Y= 4x + 21
B. Y= 4x - 21
C. Y= 4x + 11
D. Y= 4x - 11
Answer:
C. is the answer
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = 4, thus
y = 4x + c ← is the partial equation
To find c substitute (- 4, - 5) into the partial equation
- 5 = - 16 + c ⇒ c = - 5 + 16 = 11
y = 4x + 11 → C
The area of a circle is given by A(r)=pie^2 and the radius in terms of the circumference is given by r(C)=C/2pie. Find A(r(C))
Answer:
[tex]\large\boxed{A(r(C))=\dfrac{C^2}{4\pi}}[/tex]
Step-by-step explanation:
[tex]A(r)=\pi r^2\\\\r(C)=\dfrac{C}{2\pi}\\\\A(r(C))\to\text{put}\ r=\dfrac{C}{2\pi}\ \text{to}\ A(r):\\\\A(r(C))=\pi\left(\dfrac{C}{2\pi}\right)^2\qquad\text{use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\ \text{and}\ (ab)^n=a^nb^n\\\\A(r(C))=\pi\cdot\dfrac{C^2}{2^2\pi^2}\qquad\text{cancel one}\ \pi\\\\A(r(C))=\dfrac{C^2}{4\pi}[/tex]
Compute the volume of the right square pyramid shown.
A.147 cubic units
B.241 cubic units
C.441 cubic units
D.447 cubic units
Answer:
A. 147 cubic units
Step-by-step explanation:
The area of the square base is ...
B = (7 units)² = 49 units²
The volume is given by the formula ...
V = (1/3)Bh = (1/3)(49 units²)(9 units) = 147 units³
Number 14 step by step pleasee
Answer:
C 3/14
Step-by-step explanation:
There are a total of 8 checkers
P (black) = black/total
= 2/8 = 1/4
Then we keep the checker, so there are only 7 checkers in the bag, 6 red and 1 black
P ( red) = red/total
= 6/7
P (black, red) = 1/4 * 6/7
= 6/28 = 3/14
what’s the probability of a C or a Z
Answer:
Zero
Step-by-step explanation:
A letter C or Z is not in the word Bulldog.
Two sides of a right triangle measure 10 m and 8 m. Explain why this is not enough information to be sure of the length of the third side. Give two possible values for the length of the third side.
Two possible values for the length of the third side of a right angle triangle are 6 and [tex]\sqrt{164}[/tex].
What is right angle triangle?" Right angle triangle is a triangle whose one of the interior angle is of 90°."
Formula used
Pythagoras theorem,
(Hypotenuse)² = (Opposite side)² + (adjacent side)²
According to the question,
Two sides of a right triangle measure 10 m and 8 m
Here it is not mentioned 10m and 8m representing which side , that's why this is not enough information to be sure of the length of the third side.
Two possibilities
If Hypotenuse = 10m
Length of one of the side of the right triangle = 8m
Measure of other side 'x' equals to
[tex](10)^{2} = 8^{2} + x^{2}[/tex]
⇒[tex]x^{2} = 100 -64[/tex]
⇒[tex]x^{2} =36[/tex]
⇒[tex]x=6[/tex]
If Hypotenuse is not given then,
(Hypotenuse)² = [tex]10^{2} +8^{2}[/tex]
⇒(Hypotenuse)² = [tex]100 + 64[/tex]
⇒ Hypotenuse = [tex]\sqrt{164}[/tex]
Hence, two possible values for the length of the third side of a right angle triangle are 6 and [tex]\sqrt{164}[/tex].
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Final answer:
Without knowing which of the two given sides is the hypotenuse in a right triangle, we cannot definitively calculate the length of the third side. It could be greater or less than 10.3 m depending on whether the 10 m side is the hypotenuse or one of the legs.
Explanation:
If two sides of a right triangle measure 10 m and 8 m, it is not enough information to be sure of the length of the third side. The reason is that without knowing which of the sides is the hypotenuse, or whether the given sides are the two legs or one leg and the hypotenuse, we cannot use the Pythagorean Theorem to find the exact length of the third side.
If the 10 m side is the hypotenuse, the other side (of length 8 m) would be a leg, and we could find the length of the remaining leg using the equation a² + b² = c², where c is the hypotenuse and a and b are the other two sides. Thus, the length of the third side would be less than 10.3 m.
However, if the side that measures 10 m is not the hypotenuse, then the remaining side would have to be longer than 10 m to satisfy the Pythagorean Theorem. The length of the third side would be greater than 10.3 m in this case.
Without additional information, we cannot commit to a single value for the third side and must acknowledge that both possibilities exist.
Please help ASAP!!!!!!
Answer:
8
Step-by-step explanation:
Find the point on the x-axis where x = 3 and look at the height of the line there.
what number do you add to complete the square
x^2+16x=3
Answer:
(x+8)^2 - 67
Step-by-step explanation:
1) Rearrange the quadratic into the standard format: ax^2 + bx + c
In this case you rearrange it to x^2 + 16x - 3
2) Write out the initial bracket: (x + b/2)^2 - Just divide the value of b (which in this case is 16) by 2 (which in this case gives you 8)
3) Multiply out the brackets and compare to the original to find what you need to add or subtract to complete the square
In this case you do (x+8)^2 which gives you x^2 + 16x +64
You compare this to the original: x^2 + 16x - 3
4) Add or Subtract the adjusting number to make it match the original
In this case you need to subtract 67 from x^2 + 16x +64 (which is the same as (x+8)^2) in order to make it match the original x^2 + 16x - 3
64 - 67 = -3
Simplify the given expression. (4 + 2i) - (1 - 7i) (2 points)
The final answer is 3+9i
Answer:
3+9i
Step-by-step explanation:
The given expression is
(4 + 2i) - (1 - 7i)
Expand the parenthesis to obtain;
4 + 2i-1 + 7i
Group the imaginary parts and the real number parts separately to obtain;
4 -1+ 2i+ 7i
Combine the similar terms to get;
3+ 9i
Solve for y. 3.2 = 2y. please answer thanks :)
Answer:
Simplifying
3.2 = 2y
Solving
3.2 = 2y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-2y' to each side of the equation.
3.2 + -2y = 2y + -2y
Combine like terms: 2y + -2y = 0
3.2 + -2y = 0
Add '-3.2' to each side of the equation.
3.2 + -3.2 + -2y = 0 + -3.2
Combine like terms: 3.2 + -3.2 = 0.0
0.0 + -2y = 0 + -3.2
-2y = 0 + -3.2
Combine like terms: 0 + -3.2 = -3.2
-2y = -3.2
Divide each side by '-2'.
y = 1.6
Simplifying
y = 1.6
Step-by-step explanation:
the value of a $3000 computer decreases about 30% each year. write a function for the computers value V(t). Does the function represent growth or decay?
Answer:
Function represents decay.
[tex]V(t)=3000(0.70)^t[/tex]
Step-by-step explanation:
Given that the value of a $3000 computer decreases about 30% each year. Now we need to write a function for the computers value V(t). then determine if the function represent growth or decay.
It clearly says that value decreases so that means function represents decay.
For decay we use formula:
[tex]A=P(1-r)^t[/tex]
where P=initial value = $3000,
r= rate of decrease =30% = 0.30
t= number of years
A=V(t) = future value
so the required function is [tex]V(t)=3000(1-0.30)^t[/tex]
or [tex]V(t)=3000(0.70)^t[/tex]
Please help! I got 40 every time but there is no 40 on the multiple choice! :(
ok well i forget how to find the area of a trapezoid but you can solve it by breaking it down into a rectangle and two triangles
so for the rectangle multiply 7 by 4 to get 28
for the triangle you have to subtract 7 from ten to get 3 this is the length of the base. then you multiply 4 by 3 by 0.5 to get 6
now you have two triangles so multiply 6 by 2 to get 12
now add it all up to get 28+12=40
ummmmmmmmmmmmmmmm so this isn't an answer choice
i looked up the trapezoid formula and it is [tex]A=\frac{a+b}{2} h[/tex]
so if you fill in the blanks A=((7+10)/2)4
so A=(17/2)4
A=8.5*4
A=34
so the actual answer is 34 feet
but i see how you got 40
Chelsea buys 8 packs of markers. Each pack contains the same number of markers. Chelsea gives 10 markers to her brother. Then she has 54 markers left. How many markers were in each pack?
First, see how many she had in all(before she gave some to her brother):
54 + 10 = 64
Then, divide to get how many were in each package:
64/8 = 8
There were 8 markers in each package.
NEED HELP.. FAST!!
Rewrite with only sin x and cos x.
cos 2x + sin x
The answer is:
The rewritten expression is:
[tex]cos(2x)+sin(x)=(cos(x)+sin(x))*(cos(x)-sin(x))+sin(x)[/tex]
Why?To solve this problem we need to use the trigonometric identity of the double angle for the cosine which states that:
[tex]cos(2\alpha)=cos^{2}(\alpha)-sin^{2}(\alpha)[/tex]
Also, if we want to rewrite only with terms of cos(x) and sin(x), we can apply the following property:
[tex](a^{2} -b^{2})=(a+b)(a-b)[/tex]
So, rewriting the trigonometric equation, we have:
[tex]cos^{2}(\alpha)-sin^{2}(\alpha)=(cos(x)+sin(x))*(cos(x)-sin(x))[/tex]
Then, we are given the expression:
[tex]cos(2x)+sin(x)[/tex]
Now, rewriting the given expression with only sin(x) and cos(x), we have:
[tex]cos(2x)+sin(x)=(cos(x)+sin(x))*(cos(x)-sin(x))+sin(x)[/tex]
Hence, the answer is:
[tex]cos(2x)+sin(x)=(cos(x)+sin(x))*(cos(x)-sin(x))+sin(x)[/tex]
Have a nice day!
Which correctly solves the inequality t+18<43 Select one: a. t<25 b. t>61 c. t>25 d. t<61
For this case we must solve the following inequality, finding the values for the variable "t":
[tex]t + 18 <43[/tex]
We subtract 18 from both sides of the inequality:
[tex]t + 18-18 <43-18\\t <25[/tex]
Thus, the variable "t" is defined for all strict lower values than 25.
Answer:
[tex]t <25[/tex]
Option A
How can I change whole number 4 into fraction?
Convert the whole number 4 into a fraction using 4 as the denominator:
4/1 × 4/4 = 16/4
Hope this helps :D
Answer:ignore sorry
Step-by-step explanation:
help me with this question
Answer:
D. 1/6.
Step-by-step explanation:
1/6 = 0.1666...These are all of the steps to completely get the correct answer to this question.
Hope this help!!!
Kyle.
I believe the answer is D
Find the value of x in this figure.
Hello! :)
All angles in triangles must equal 180* degrees. So there is the 90 degrees at the meter Q and you add: 43+90=133* degrees. Remember, to make 180 so you do 180-133=47* degrees. I didn’t get any answer choices but if there are, choose the closest one to 47* degrees.
Hope this helped and I hope I answered in time!
Good luck!
~ Destiny ^_^
Answer:
The value of x = 47°
Step-by-step explanation:
From the figure we can see that a circle with center O.
PQ is a tangent to the circle fro point P.
m<P = 43°
Therefore <Q = 90°
To find the value of x
From the given triangle we can write,
x + m<Q + m<P = 180
x = 180 - (m<Q + m<P)
= 180 - (90 + 43)
= 180 - 133 = 47°
Therefore the value of x = 47°
Please help ASAP!!!!!
Answer:
2.02
Step-by-step explanation:
2.02
Which expressions are equivalent?
3x + 5x and 8x
3(x + 4) and 3x + 12
a + b + a and 2a + b
18x + 2y and 15x + 3x + 2x
3a + 4a + 10 and 17a
The equivalent expressions are
3x + 5x and 8x
3(x + 4) and 3x + 12
a + b + a and 2a + b
What are equivalent expressions?
Equaivelnt expressions are expressions that the terms are equal. That is to say rearranging the terms will result to the term to be compared with it.
In this case the expressions are said to be equaivalent
Examining the expressions we can see that
3x + 5x = 8x
3(x + 4) = 3x + 12
a + b + a = 2a + b
Find the area of the blue triangle on the left side of this isosceles trapezoid. A) 16.25 in2 B) 32.5 in2 C) 45 in2 D) 65 in2
Answer:
(A. 16.25 in^2
The area of triangle with base of the triangle be 10 in and the height be 9 in, 45 in²
What is an area?
Area is the amount of space occupied by a two dimensional shape or object.
The area of triangle = (1/2) * base * height
Let the base of the triangle be 10 in and the height be 9 in, hence:
The area of triangle = (1/2) * 10 * 9 = 45 in²
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maria has 30 sheets of green paper. she uses 3/5 of the sheets for a project. how many sheets of paper does maria use for the project.
Answer:18
Step-by-step explanation:
Answer:
i think the answer is 18
Step-by-step explanation:
find x and y for a triangle with 60° and 30
Answer:
90 degrees
Step-by-step explanation:
FIGURE IT OUT
x=15 and y=25.98 or 26
The area of a square is 64n^36 units. What is the side length of one side of the square? 8n^6 8n^18 64n^6 64n^18
Answer:
[tex]\large\boxed{8n^{18}}[/tex]
Step-by-step explanation:
The formula of an area of a square:
[tex]A=s^2[/tex]
s - side length
We have
[tex]A=64n^{36}[/tex]
Method 1:
Substitute:
[tex]s^2=64n^{36}[/tex]
[tex]s^2=8^2n^{18\cdot2}[/tex] use [tex](a^n)^m=a^{nm}[/tex]
[tex]s^2=8^2(n^{18})^2[/tex] use [tex](ab)^n=a^nb^n[/tex]
[tex]s^2=(8n^{18})^2\to s=8n^{18}[/tex]
Method 2:
Substitute:
[tex]s^2=64n^{36}\to s=\sqrt{64n^{36}}[/tex] use [tex]\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}[/tex]
[tex]s=\sqrt{64}\cdot\sqrt{n^{36}}[/tex]
[tex]s=8\sqrt{n^{(18)(2)}[/tex] use [tex](a^n)^m=a^{nm}[/tex]
[tex]s=8\sqrt{(n^{18})^2}[/tex] use [tex]\sqrt{a^2}=a[/tex] for [tex]a\geq0[/tex]
[tex]s=8n^{18}[/tex]
12km 5km pythagorean theorem
Answer:
In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. The theorem can be written as an equation relating the lengths of the sides a, b and c, often called the "Pythagorean equation":[1]
Step-by-step explanation:
Math help please,,, thank u uwu!
Answer:
AC=BD
CAD=CBD
ACB=ADB
Step-by-step explanation:
You're essentially looking for anything of equal proportions. Obviously, your circle is split by several lines, and each side is symmetric. Since you know this, it's simply a matter of identifying one element then finding its symmetric match.
Follow the lines and trace the path with your finger for each question. If you do this, you'll see that AC=BD is an answer that involves a symmetric pair, because these two are equal distances and equal (but opposite) in placement.
Continuing with this method, keep track of the parts of the triangles you trace. With CAD=CBD, you trace across a hypotenuse, a leg, and a base in BOTH, making this true.
Continuing further with ACB=ADB, you trace across a hypotenuse, a leg, and a base with both AGAIN, making this true.
With AB=CD, this is obviously incorrect. You can't jump between points.
Answer:
only letter c is incorrect A, B, and D are correct
Step-by-step explanation: