Answer:
x=14
Step-by-step explanation:
11x+18=172, subtract 17 from both sides, 11x=154, divide 11 from both sides, x=14
A college textbook costs $90,00. If the sales tax rate is 6.5%, then how much will the tax be?
Answer:
The sales tax is 6.5% of the selling price of the book: 0.065($90.00) = $5.85.
Step-by-step explanation:
will give brainliest. Which of the binomials below is a factor of this trinomial? 3x^2+16x+ 5 A- 3x-5 B. 3x-1 C. 3x+1 D. 3x+5
Answer: 3x + 1
Step-by-step explanation:
A p e x
Nathan earns $1500 a week. Calculate his new weekly wage if he receives a pay rise of 20%
Answer:
$1800
Step-by-step explanation:
1. Approanch
An easy way to calculate one's salary after they recive a raise is to, convert the percent that one's salary is increased into a decimal; divide the percent by 100. Then multiply the increase as a decimal by the original salary, to attain the amount the salary is raised by. Finally add the amount the salary is raised by to the original salary to find the new salary. A quicker way to do this is to convert the percent by the salary is increased into a decimal. Then add 1 to that number. Finally one will multiply that number by the original slary and get the new salary.
2. Solving
Original salary; 1500
Raise; 20%
a. convert the raise as a percent into a decimal, then add 1
20% = 0.2
0.2 + 1 = 1.2
b. multiply the number by the original salary
1.2 * 1500
1800
Answer:
$ 1800
Step-by-step explanation:
Rise in payment = 20% of 1500
[tex]= \frac{20}{100}*1500\\\\=20 *15\\\\= $300[/tex]
New weekly wage = 1500 + 300
= $ 1800
Trey is buying a computer on sale. The original price was $1,200. If the sale price is ⅚ of the original price, how much did Trey pay for the computer?
Type the numerical answer only
Select the correct answer from each drop-down menu.
Consider functions hand k.
For x > 0, the value of k(h(x)) is
For x > 0 functions h and k
the inverse
Answer:
not equal to
are not
Step-by-step explanation:
guessed on plato and got it right. Thank You!!!!
Answer:
The correct answers are:
Not equal to
Are not
Step-by-step explanation:
I got it right on the Edmentum test.
Create a system of equations with a solution of (4,1)
Answer:
x + y = 5 (or) xy = 4 (or) x - y = 3
Can somebody plz answer this math problem correctly thanks!
WILL MARK BRAINLIEST :DDD
Help I will make you a brainlist!!
What is the equation of the line with a y-intercept of -3 and a slope of 2?
y=-3x + 2
y = -2x - 3
y= 2x - 3
y= 3x + 2
Answer:
y = 2x - 3
Step-by-step explanation:
y = mx + b
slope is m, so m=2
y-intercept is b, so b= -3
============================================================
Given:-
Slope of the line -> 2Line's y-intercept -> -3To find:-
Equation of the lineRemember, slope-intercept form looks like so:-
[tex]\bigstar{\boxed{y=mx+b}[/tex]
Where
m stands for the slope
b stands for the y-intercept
in this case, m -> 2, and b-> -3
Plug in the values:-
[tex]\bigstar{\boxed{y=2x-3}[/tex]
=========================================================
note:-Hope everything is clear; if you need clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
An athlete runs 8 miles in 50 minutes on a treadmill at this rate how long will it take the athlete to run 9 miles
Answer:
56.25 minutes
Step-by-step explanation:
1 mile is 6.25 minutes
9 miles is _____?
6.25 minutes x 9 miles =
56.25 minutes
Find Unit Rate to help solve
Hope this helps :)
y varies directly with x. If x= 1 and y = 0.25 what is y if x = 9
Type your answer...
Answer:
y=2.25
Step-by-step explanation:
0.25x9=2.25
An astronaut was exploring the moon of a distant planet, and found some glowing goo at the bottom of a very deep crater. She brought a 10-gram of the goo to her laboratory. She found that when the goo was exposed to light, the total amount of goo increased by 100% every hour. How much goo will she have sfter 1 hour?After 2 hours? After 3 hours? After n hours?
Answer:
20 ; 40 ; 80 ; 10(2^n)
Step-by-step explanation:
Given that:
Initial amount of goo (p) = 10 gram
Total amount of goo increased by 100% every hour ;
How much goo will she have sfter 1 hour?After 2 hours? After 3 hours? After n hours?
Using the relation :
Final amount = initial * (1 + rate)^t
Rate = 100% = 100/100 = 1
t = number of hours
Hence, after 1 hour :
Final amount = 10(1 + 1)^1
Final amount = 10(2)^1 = 20 grams
After 2 hours : t = 2
Final amount = 10(1 + 1)^2
Final amount = 10(2)^2 = 10 * 4 = 40 grams
After 3 hours ; t = 3
Final amount = 10(1 + 1)^3
Final amount = 10(2)^3 = 10 * 8 = 80 grams
After n hours ; t = n
Final amount = 10(1 + 1)^n
Final amount = 10(2)^n grams
In 1912, the U.S. government began issuing licenses to radio stations. Each station was given a unique three-letter call sign. Radio stations in the western United States were given call signs starting with K. Stations in the east were given call signs starting with W. For example, the radio station with the call sign ABC is KABC in California, and WABC in Georgia.
a. How many different three-letter call signs are there?
Hint: don’t worry about the K or W – just find the number of ways to arrange any 3 letters
b. How many different three-letter call signs are there where the first letter is a D?
Hint: again, the K and W don’t matter
c. In a random selection of radio station call signs, what is the probability of selecting a radio station with a call sign that starts with the letter D?
Answer:
A would make sense
Step-by-step explanation:
What is the solution to the equation 4x + 8= -2 - 2 + 5x
Have?
Two
One
None
Invinitely many
Answer:
one solution
Step-by-step explanation:
4x + 8 = -2 -2 + 5x
4x + 8 = -4 + 5x
4x - 4x + 8 = -4 + 5x - 4x
8 = -4 + 5x - 4x
8 = -4 + x
8 + 4 = -4 + 4 + x
12 = x
HELP!!!! please will give brainliest
Answer:
m = -1
Step-by-step explanation:
The line is going down from left to right, meaning the slope is negative. The line is going down at the same rate at which it's going to the right, meaning the numerator and denominator are the same (a fraction with the same numerator and denominator is 1)
Ay can anybody please help me with this question !
Answer: a = 45°
Step-by-step explanation:
The measure of∠PSR is given: 90°
Given PS = RS, this is an isosceles triangle. so measure of ∠SPR, labeled "a" is equal to the measure of ∠SPR.
The total of all angles in a triangle is 180. So subtract 90, then divide by 2.
180-90 = 90
90/2 = 45
a = 45°
If "b" is supposed to be the measure of ∠SRQ, that is 15° The larger triangle is equilateral; all the angles are 60°. 60 - 45 = 15
which angles on the unit circle have central angles with measures less than 180 degrees
HELP PLEASE
find the area of the polygon with the given vertices P(1,1), Q(-2,1), R(-1,-4)
Answer:
Area = 7.5
Step-by-step explanation:
The area of the triangle bounded by vertices P(1,1), Q(-2,1), and R(-1,-4) will be 7.5 unit square.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.
Given the triangle with vertices P(1,1), Q(-2,1), R(-1,-4)
Length between two coordinates (x₁,y₁) and (x₂,y₂) is given by
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
By using this formula
PQ = 3 , QR = 5.099 and PR = 5.385
Now,
The area of a triangle with all three sides is given by
A = [tex]\sqrt{S(S - A)(S - B)(S - C)}[/tex] where A,B and c are sides and s = (A + B + C)/2
So,
S = (3 + 5.099 + 5.385)/2 = 6.742
Now,
A = [tex]\sqrt{6.742(6.742- 3)(6.742 - 5.099)(6.742 - 5.385)}[/tex]
A = 7.499 ≈ 7.5
Hence "The area of the triangle bounded by vertices P(1,1), Q(-2,1), and R(-1,-4) will be 7.5 unit square".
For more about triangles,
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A cookie factory uses 5/6 of a barrel of oatmeal in each batch of cookies. The factory used 6 2/3 barrels of oatmeal yesterday. How many batches of cookies did the factory make?
Write your answer as a fraction or as a whole or mixed number.
Answer:
8 batches
Step-by-step explanation:
6 2/3= 6 4/6 =40/6
40/6 divided by 5/6= 8
The histogram shows the duration, in minutes, of movies in theaters. A graph shows number of minutes labeled 84 to 147 on the horizontal axis and number of movies on the vertical axis. 2 moves are 84 to 91 minutes. 4 moves are 91 to 98 minutes. 5 movies are 98 to 105 minutes. 4 movies are 105 to 112 minutes. 3 movies are 112 to 119 minutes. 3 movies are 119 to 126 minutes. 2 movies are 126 to 133 minutes. 2 movies are 133 to 140 minutes. What relationship between the median and mean is shown by the histogram? The mean is less than the median. The median is less than the mean. The mean is equal to the median. The median and mean cannot be compared from a histogram.
The relationship between the median and mean shown by the histogram is; The median is less than the mean.
How to Interpret Histograms?From the given histogram, we see that it has a lot of its data on the left side.
Now, since the histogram has a lot of its' data to the right side, then we can say that it's skewed to the right. However, when the histogram is skewed to the right, it denotes that the mean will be more than the median.
Thus, we can conclude that the median is less than the mean.
Read more about Histograms at; https://brainly.com/question/2962546
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Answer:
b
Step-by-step explanation:
Daisy is calculating her assets. She has $10,000 in gold and silver jewelry, and $50,000 in her savings. She has paid $20,000 of her $150,000 house. She has also pain $10,000 of the $45,000 car she bought last year.
$80,000
$90,000
$285,000
$255,000
Answer:
10,000
Step-by-step explanation:
What is the circumference of circle E?
(Use 3.14 for a.)
Answer:
15.7
Step-by-step explanation:
circumference = pi x diameter
3.14 x 5 = 15.7
On laisse tomber une balle d'une hauteur de 1m.
A chaque rebond, elle rebondit aux 3/4 de la hauteur d'où elle est tombée.
Quelle hauteur, en cm, la balle atteint-elle au cinquième rebond ? Donner une valeur approchée à l'unité près.
.......................
Write in y=mx+b form
Step-by-step explanation:
b =-4 (y-intercept)
x =0
m = 0 (the line doesn't have a slope)
y = mx + c
y = 0(0) + (-4)
y = - 4
Help pls ASAP thank you !!!
Answer:
I haven't learned this but I think it's D.
Step-by-step explanation:
what is the HL postulate
Answer:
HL Postulate
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HL Postulate(Hypotenuse - Leg) or RHS theorem -> If any two right angles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
AC ≅ DF , BC ≅ EF and ∠B ≅ ∠E ( both 90 0 )
∴ Δ ABC ≅ Δ DEF by RHS theorem
Theorem : Prove RHS theorem or postulate.
Given : AC = DF , BC = EF and ∠B = ∠E = 90 0
Prove that : ΔABC ≅ ΔDEF
Construction : Extend DE to G so that EG = AB. Join GF.
Statements
Reasons
1) AB = GE 1) Construction
2) ∠B = ∠FEG 2) Each 900
3) BC = EF 3) Given
4) ΔABC ≅ ΔGEF 4) By SAS postulate
5) ∠A = ∠G 5) CPCTC
6) AC = GF 6) If the two angles are congruent then angle opposite to them are equal
7) AC = DF 7) Given
8) DF = GF 8) By transitive property
9) ∠D = ∠G 9) Angles opposite to equal sides in ΔDGF are equal
10) ∠A = ∠D 10) From (5) and (9)
11) ∠B = ∠E 11) Given
12)∠A+∠B=∠D+∠E 12) Adding (10) and (11)
13) ∠C = ∠F 13) ∠A + ∠B + ∠C = 180
and ∠D + ∠E + ∠F = 1800
14) ΔABC ≅ ΔDEF 14) By SAS postulate and from (3) (7) and (13)
Step-by-step explanation:
Answer:
Step-by-step explanation:
HL is the the Hypothenuse Leg Postulate that sais that
If the hypotenuse and leg of one triangle are congruent
to the hypotenuse and leg of another triangle
then the triangles are congruent.
To completely cover a cube,Joey uses a total area of 486 square inches of material. To the nearest whole cubic inch, what is the maximum volume the box could have? Pls help me and fast
Answer:
The maximum volume the cube could have is 729 cubic inches
Step-by-step explanation:
The total surface area of the cube equals the total area of material used.
Let A = total surface area of cube = 6L² where L = length of side of cube
Since A = total area of material used, A = 486 in²
So 486 in² = 6L²
L = √(486 in²/6)
= √81 in²
= 9 in
The volume of the cube V = L³ where L = length of side of cube
So, V = (9 in)³
= 729 in³
So the maximum volume the cube could have is 729 cubic inches.
The maximum volume that the box could have will be 729inches³.
Based on the information given, the first thing to do is to find the length of the shape. This will be:
Length = ✓(486/6)
Length = ✓81
Length = 9
Therefore, the volume of the cube will be:
= 9³
= 9 × 9 × 9
= 729 in³.
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Pls help. A, B, C, or D?
Answer:
b=1
Step-by-step explanation:
1) Distribute
6+7b-7=5+b
2) Combine like ter,s
7b-1=5+b
3) Isolate variable
6b=6
4) Solve
b=1
Answer:
b = 1
Step-by-step explanation:
6 + 7b - 7 = 5 + b
7b - b = 5 - 6 + 7
6b = 6
b = 1
PLSSS HELLPPPP I WILL HIVE BRAINLIEST!!!
Answer:
480 in^3
Step-by-step explanation:
A=l×b×h
10×8×5+4×4×5
=480
what number is the same as -1882384?
Answer:
-1,882384 x 10^6 or -1372^2
Step-by-step explanation:
Both forms equal -1882384.
Which statement best explains the relationship between
lines AB and CD?
O They are parallel because their slopes are equal.
O They are parallel because their slopes are negative
reciprocals.
equal.
negative reciprocals.
O They are not parallel because their slopes are not
O They are not parallel because their slopes are
Answer:
The best statement which explains the relationship between lines AB and CD is "They are parallel because their slopes are equal" ⇒ A
Step-by-step explanation:
Parallel lines have equal slopes and different y-interceptsThe rule of the slope of a line passes through points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]In the given figure
∵ The blue line passes through points A and B
∵ A = (-4, -2) and B = (4, 4)
∴ x1 = -4 and y1 = -2
∴ x2 = 4 and y2 = 4
→ Substitute them in the rule of the slope
∵ m(AB) = [tex]\frac{4--2}{4--4}[/tex] = [tex]\frac{4+2}{4+4}[/tex] = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]
∴ The slope of line AB is [tex]\frac{3}{4}[/tex]
∵ The green line passes through points C and D
∵ C = (0, -3) and D = (4, 0)
∴ x1 = 0 and y1 = -3
∴ x2 = 4 and y2 = 0
→ Substitute them in the rule of the slope
∵ m(CD) = [tex]\frac{0--3}{4-0}[/tex] = [tex]\frac{0+3}{4}[/tex] = [tex]\frac{3}{4}[/tex]
∴ The slope of line CD is [tex]\frac{3}{4}[/tex]
∵ The slope of line AB = the slope of line CD
∵ Parallel lines have the same slope
∴ AB // CD
∴ AB and CD are parallel lines
The best statement which explains the relationship between lines AB and CD is "They are parallel because their slopes are equal"
Answer:
a. they are parallel because their slopes are equal
Step-by-step explanation:
did the review on edge