Answer:
The Hotel charge without tax in first city is $3500 and The hotel charge before tax in the second city is 2000
Step-by-step explanation:
Let x be the hotel charge without tax in first city
We are given that The hotel charge before tax in the second city was $1500 lower than in the first.
So, Hotel charge without tax in second city =x-1500
Tax% in first city = 10%
So, tax in first city = 0.1x
Tax% in second city =5%
So, tax in second city = 0.05(x-1500)
We are given that The total hotel tax paid for the two cities was $600.
So,0.1x+0.05(x-1500)=600
0.1x+0.05x+75=600
0.15x=600-75
[tex]x=\frac{600-75}{0.15}[/tex]
x=3500
Hotel charge without tax in first city = $3500
The hotel charge before tax in the second city =x-1500=3500-1500=2000
Hence The Hotel charge without tax in first city is $3500 and The hotel charge before tax in the second city is 2000
|18-x|, if x<18. Pls help
Answer:
I18 - xI such that x < 18.
ok, first let's what happens if x = 18:
I18 - xI = I18 - 18I = 0
So, at the moment we have the condition:
I18 - xI > 0.
now, if x is a really large negative number, suppose, x = -100
I18 + 100I = I118I = 118
So, as x can freely move in the negative range, we can see that I18 - xI can be any positive number, so the only restriction that we have is:
I18 - xI > 0.
This means that the domain is:
D = (-∞, 18)
and the range is:
R = (0, ∞)
Shawn received $5 change from $20 when he bought some binders. How many binders did he buy if each binder costs $3?
Answer:
5 binders
Step-by-step explanation:
3 times 5 binders would be 15$, and since he paid with 20$, that is 5 dollars change
As an algbraic equation:
3x+5=20
3x=15
x=5
Which of the following are in correct order from greatest to least? pi/2, 330°,5pi/3 ,7pi/6 ,2pi/3 5pi/3,7pi/6 ,2pi/3 , pi/2 , 330° pi/2, 2pi/3 , 7pi/6, 5pi/3, 330° 330°, 5pi/3, 7pi/6,2pi/3 , pi/2 (answer is D)
Answer:
D) 330°, 5π/3 , 7π/6 , 2π/3 , π/2
Step-by-step explanation:
Lets clear the question first. We have been given 4 options:
A) π/2 , 330°, 5π/3, 7π/6, 2π/3
B) 5π/3, 7π/6 , 2π/3 , π/2 , 330°
C) π/2, 2π/3 , 7π/6, 5π/3, 330°
D) 330°, 5π/3 , 7π/6 , 2π/3 , π/2
Lets convert all the values into degrees
330° = 330°
π/2 = 180/2 = 90°
5π/3 = 300°
7π/6 = 210°
2π/3 = 120°
Arrange them from greatest to lowest.
330° , 300° , 210° , 120° , 90°
or
330° , 5π/3 , 7π/6 , 2π/3 , π/2
which is option D
21. If the area of the plane shape below is
36cm, find its height.
Answer:
4 cm
Step-by-step explanation:
The figure is a parallelogram with area (A) calculated as
A = bh ( b is the base and h the perpendicular height )
Here A = 36 and b = 9 , thus
9h = 36 ( divide both sides by 9 )
h = 4 cm
Answer:
Step-by-step explanation:
considering the breadth of the shape as 5cm and length as 9cm...
now... for finding the height of the plane shape...
we need to use the formula for area of a trapezium...
so. area of a trapezium = 1/2 x height x sum of parallel sides
we are given area of trapezium = 36cm^2
SO SUBSTITUTING THE EQUATION...
36 = 1/2 x height x (9+9)
height = 4cm
Two bottles of water and three small bags of fruit cost a total of £2.55. If a bottle of water costs 15p more than a bag of fruit, what is the cost of a bag of fruit?
Answer:
The cost of a bag of fruit is 45p
Step-by-step explanation:
Let w be the number of water bottles.
Let f be the number of bags of fruits.
"Two bottles of water and three small bags of fruit cost a total of £2.55"
2w + 3f = 2.55
"a bottle of water costs 15p more than a bag of fruit"
w = 0.15 + f
Substitute the second formula to the first and solve.
2w + 3f = 2.55
2(0.15 + f) + 3f = 2.55
0.3 + 2f + 3f = 2.55
0.3 + 5f = 2.55
5f = 2.55 - 0.30
5f = 2.25
f = 2.25 ÷ 5
f = 0.45
Substitute to the second formula again and solve for w.
w = 0.15 + 0.45
w = 0.6
Now verify:
2w + 3f = 2.55
2(0.6) + 3(0.45) = 2.55
1.2 + 1.35 = 2.55
2.55 = 2.55 (Correct)
Explain how to solve (c)/(9)=3. Give the solution in you explanation
Answer:
c = 27
Step-by-step explanation:
If c divided by 9 equals to 3, then the other way around would be 3 times 9 equals to c, which is how you would get 27. If you look at PEMDAS, multiplication and division are together and work the other way around when used with each other, just like addition and subtraction.
I know this is kind of a lame answer with no fancy math words to back it but please, it's the best I could do.
20 cm
8 cm
8 cm
20 cm
15 cm
Find the area of the arrow above.
[? ] square centimeters Irregular figures please help explain answer
Answer:
Step-by-step explanation:
Area of the base = l x w
= 20 x 18 = 360 cm^2
Area of the triangle = hb/2
(31 x 20)/2 = 620/2 = 310 cm^2
Area of the arrow = 360 + 310
= 670 cm^2
Answer:
610 squared centimeters
Step-by-step explanation:
What do I have to do?
Answer:
You sold 3 of your $19 paintings
Step-by-step explanation:
19x + 29 = 86
19x + 29 - 29 = 86 - 29
19x = 57
19x / 19 = 57 / 19
x = 3
What is the measure of
Answer:
Okay buddy the answer is 63 because if you look at all the angles they are suppose to add up to 180 so with the line D and A the angles is 128 so the angle on the other side is 52 so 52 plus65 is 117 so then 180-117 is 63
Step-by-step explanation:
mark me branliest
Shiva brought $37.00 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1 3 as much as the sketchbook, and the sketchbook cost 1 2 the cost of the paint set. Shiva had $2.00 left over after buying these items. What was the cost of each item?
Answer:
b= 3.5
s= 10.5
p=21
Step-by-step explanation:
b for brush
s for sketch book
p for paint set
b=1/3s
s= 1/2 p
b+s+p=37-2
1/3 s +s+2 s =35
1/3 s +s +2 s =35
10/3 s=35
s= 35*3/10
s= 10.5
b=1/3 s = 10.5/3 = 3.5
s= 1/2 p so p= 2s = 2( 10.5) = 21
10.5+3.5 + 21 = 35
A triangle has two sides with the lengths 8m and 15 m.
How many possible triangles could you draw if the angle between the two known sides were also given? Explain.
11 points need answer quick
Answer:
You could only draw one triangle because the other side of the triangle can only be one value. This is because when the angle measure between two sides and the length of the sides is given, the length of the other side is fixed. This is also modeled by the SAS principle of congruence.
Answer:
Step-by-step explanation:
You can draw 2 triangles
3(x+5)=2(3x-2) Help please! will mark brainliest!
Answer:
x=19/3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(x+5)=2(3x−2)
3x+15=6x+−4
3x+15=6x−4
Step 2: Subtract 6x from both sides.
3x+15−6x=6x−4−6x
−3x+15=−4
Step 3: Subtract 15 from both sides.
−3x+15−15=−4−15
−3x=−19
Step 4: Divide both sides by -3.
−3x
−3
=−19−3
x=19/3
Solve the following system:
y=x + 3
2x + y = 9
Answers:
(2,5)
(5,2)
(-2,5)
(2,-5)
Answer
your anwser would be (2,5)
Step-by-step explanation:
y - x = 3 ...1
2x + y = 9 ...2
...2 - ...1
2x + y -y + x = 9 - 3
3x = 6
x = 2
replace x you will receive y value
There is a group of $5$ children, where two of the children are twins. How many ways can I distribute $6$ identical pieces of candy to the children, if the twins must get an equal amount of candy?
Answer:
50
Step-by-step explanation:
Suppose that the kids get $x_1,x_2,x_3,x_4,x_4$ pieces of candy, respectively (each twin received $x_4$ pieces). Then we seek all quadruples $(x_1,x_2,x_3,x_4)$ satisfying
\[x_1+x_2+x_3+2x_4 = 6.\]We proceed by casework, based on the number of candies the twins receive.
If $x_4 = 0$, then there are 6 candies to distribute to 3 kids. This is like arranging 6 C's and 2 |'s (dividers), so there are $\binom{8}{2} = 28$ possible distributions.
If $x_4 = 1$, there are 4 candies remaining for the other 3 kids, so there are $\binom{6}{2} = 15$ possible distributions.
If $x_4 = 2$, there are 2 candies remaining, so there are $\binom{4}{2} = 6$ possible distributions.
If $x_4 = 3$, there are 0 candies remaining, for 1 possible distribution.
Adding all of these results from the separate cases, there are a total of
\[28 + 15 + 6 + 1 = \boxed{50}\].
Please answer correctly !!!! Will mark brainliest !!!!!!!
Answer:
Think it's 7.
Step-by-step explanation:
Because 5-4=1 so it have to be 7.
7+1=8
A common marketing strategy used by retailers to induce multiple copies of a product is to list a $3 item for A:one for $3 B:one for $3.50 C:two $6 D:three for $12
Q26:
Ava is making necklaces out of beads.
Ava bought 40
packages that each contain 100
beads.
Each necklace requires exactly 60
beads.
How many complete necklaces can Ava make?
Answer:
66 necklaces
Step-by-step explanation:
First determine how many beads Ava has
40 * 100 = 4000
Then divide by the number of beads per necklace
4000/60 =66.66666
Round down for complete necklaces
66 necklaces
1.
Look at the number line shown below.
32
Which word problems or inequalities could have a solution represented by the
number line?
Select all that apply.
A. Christopher has read for more than 32 minutes.
B. Christopher has read for less than 32 minutes.
C. Christopher has read for 32 minutes.
D. x < 32
E. x > 32
F. X = 32
Answer:
A -> E
B -> D
C -> F
Step-by-step explanation:
In all cases, we represent minutes that Christopher has read with variable x
Christopher has read for more than 32 minutes corresponds with the inequality: x > 32 ."More than" is equivalent to "greater than", which is symbolized by ">".
Christopher has read for less than 32 minutes, corresponds with the inequality: x < 32 . "Less than" symbolized by "<".
Christopher has read for 32 minutes corresponds with the equality: X = 32. Here the amount of time is fixed, so it agrees with an equality instead of an inequality.
Answer: ABDE
Step-by-step explanation:
Which is a true statement about a 45-45-90 triangle?
O A. Each leg is 3 times as long as the hypotenuse.
O B. Each leg is 12 times as long as the hypotenuse.
O C. The hypotenuse is 3 times as long as either leg.
O D. The hypotenuse is v2 times as long as either leg.
The hypotenuse is √2 times as long as either leg of a 45-45-90 triangle
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Now , the measure of ∠ACB = measure of ∠BAC = 45°
And , the measure of ∠ABC = 90°
So , the triangle is a 45-45-90 triangle
Now , the measure of the sides be AB = BC = 1 unit
And , From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
The measure of side AC ( hypotenuse ) = √ ( AB )² + ( BC )²
The measure of side AC ( hypotenuse ) = √ ( 1 + 1 )
The measure of side AC ( hypotenuse ) = √2 units
Hence , the measure of the hypotenuse of 45-45-90 triangle is √2 units
To learn more about triangles click :
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Find the slope and reduce.
P=(-2, 3) Q=(8,3)
Slope = [?]
Margo has 15 pounds of clay, Tim has 10 pounds of clay, Tray has 13 pounds of clay, Lila has 14 pounds of clay, and Jerry has 13 pounds of clay. How can they redistribute the clay so that they all have the same amount? Check all that apply.
Answer:
13 clay for each person
Step-by-step explanation:
Add all the clay to find the total.
15+10+13+14+13= 65 clay in total
There are 5 people in total.
Divide 65 by 5 to find the distribution for each person.
65÷5= 13
Each person get 13 clay after redistribution.
They redistribute the clay then Each person gets 13 clay after redistribution.
We have given that,
Margo has 15 pounds of clay, Tim has 10 pounds of clay, Tray has 13 pounds of clay, Lila has 14 pounds of clay, and Jerry has 13 pounds of clay.
What is the total of the clay?Add all the clay to find the total.
15+10+13+14+13= 65 clay in total
There are 5 people in total.
Divide 65 by 5 to find the distribution for each person.
[tex]65/5= 13[/tex]
Each person gets 13 clay after redistribution.
To learn more about the distribution visit:
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QUICK ANSWER PLEASE The left and right page numbers of an open book are two consecutive integers whose sum is 269. Find these page numbers.
Answer:
134 and 135
Because 269/2 is 134.5, so you know that one is 134 and the other is 135.
The page numbers are 134 and 135
What are integers?Any positive or negative number without fractions or decimal places is known as an integer, often known as a "round number" or "whole number."
Given:
The left and right page numbers of an open book are two consecutive integers whose sum is 269.
Let two consecutive integers are n, n+1.
Then,
the sum of two consecutive integers is 269.
According to the question,
n + n + 1 = 269
2n + 1 = 269
2n = 268
n = 134
The integers are 134 and 135.
Therefore, integers are 134 and 135.
To learn more about the integers;
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Solve the equation, –(x∕4) = 5, for x. Which of the following properties of equality did you apply? Question 7 options: A) Multiplication B) Multiplication and subtraction C) Division and addition D) Division
Answer:
A) Multiplication
The solution of given equation x= -20
Step-by-step explanation:
Step(i):-
Given equation - ( x /4) = 5
Multiply '-1' on both sides, we get
⇒ - ( (- x /4) ) = - 5
⇒ [tex]\frac{x}{4} = -5[/tex]
Step(ii):-
Multiply '4' on both sides, we get
⇒ [tex]\frac{x}{4} X 4= -5 X 4[/tex]
Cancellation '4' on left side , we get
x = -20
Conclusion:-
The solution of given equation x= -20
Answer:
A
Step-by-step explanation:
can someone pls help
Answer:
1318.8 meters
Step-by-step explanation:
What is the value of p in the equation?
4 (8-4p)+20= 12
-20
5
10
Answer:
2.5
Step-by-step explanation:
I think you're missing a value because none of those work. 2.5 does
4*2.5 = 10
8 - 10 = -2
4 (-2) = -8
-8 + 20 = 12
help please would appreciate
Answer:
Ah! Thank you for a little challenge!
Step-by-step explanation:
To do this, we need to first find our new lengths!
Height= [tex]50+x[/tex]
Radius= [tex]20+x[/tex]
Now, to find the Volume!
Using the volume formula for a cylinder(v=pi*r^2*h)
[tex]v=\pi(20+x)^{2} (50+x)[/tex]
So, we have our equation! let's solve!
[tex]V=\pi*(x^{2}+40x+400)(50+x)\\V=\pi(x^{3} +90x^{2}+2400x+20000)[/tex]
Now, I'm guessing you had trouble with it because it looked really scary.
So what I did in the first step was expand (20+x)^2, and I used the special formula(forgot what else it was called, (a+b)^2=a^2+2ab+b^2)
Next, I multiplied the expand form of that with (50+x), and the way to do that is by multiplying each term in the parentheses with every term in the next parentheses(distributive property).
So, uh, that's it! Not very scary, just a bit of in-head math!
Hope this helps! If you want to learn more or need more help, check out Khan Academy for the "squares of binomials" or "polynomials"
if the nth term of a sequence is
45 -9n what is the 8th term?
Answer:
- 27
Step-by-step explanation:
To find the 8 th term substitute n = 8 into the formula, that is
a₈ = 45 - 9(8) = 45 - 72 = - 27
You and some friends have $30. You want to order large
pizzas (p) that are $9 eachand drinks (d) that cost $1 each.
Write and graph an inequality that shows how many pizzas
and drinks can you order.?
what is factored form of the expression 16st+15t
Answer:
t(16s+15)
Step-by-step explanation:
The highest common factor of 16st+15t is t.
t(16s) + t(15)
Factor.
t(16s+15)
Answer:
t ( 16s+15)
Step-by-step explanation:
=> 16st + 15t
Taking t common
=> t ( 16s+15)
After seeing this video, another dog owner trained his dog, Lightning, to try to break Tillman’s skateboarding record.
Lightning’s fastest recorded time was on a 75-meter stretch where it took him 15.5 seconds. Based on these data,
did Lightning break Tillman’s record for fastest dog on a skateboard? Explain how you know.
Answer:
75/15.5 = 4.83870967742 =4.84 meters per second.
This is a faster time than 5 meters per second.
Step-by-step explanation:
