Step-by-step explanation:
the slope is a line is always the factor of x.
and it is the ratio (y coordinate difference / x coordinate difference) when going from one point to another.
y = 2x + 4
has the slope 2. which is 2/1. so, for every increase of x by 1 unit, y increases by 2 units.
and this line has a y-intercept of 4 (the y-value when x = 0).
remember, the slope-intercept form of a line is
y = ax + b
a is the slope, b is the y-intercept.
a perpendicular slope (90°) turns that ratio upside down and flips the sign (because if the original line was going up, the perpendicular line is going down and vice versa).
so, the slope of the perpendicular line is -1/2.
the y-intercept was already given to us, so the desired line equation is
y = -1/2 x + 3
or
y = -x/2 + 3
Sonia will paint a large triangular sign with a base of 14 ft and a height of 8 ft. What is the area of the sign?
Answer:
56
Step-by-step explanation:
1/2 x 14 x 8
use the formula: half times base times height
Sam went on a fishing trip he took a trout for every three Catfish he caught what was his total cash if he caught 24 catfish
If total catch means how many fish did he catch in total then...
1 trout every 3 catfish
caught 24 catfish, 24÷3 = 8
Sam caught 8 trout and 24 catfish
8 + 24 gives us a total fish count of 32.
Which statement describes the meteors motion?
(10 brainly points)
The statement that describes the meteor's motion will be A. Its velocity was 7.8 km/d northward.
How to illustrate the information?It should be noted that based on the information given, the the meteors moving 468 km per minute
Also, the meteor was 45m wide from it.
Therefore, it should be noted that the reason that it wasn't visible was because it wasn't within it's range. This was illustrated as the fact that the velocity was 7.8 km/d northward.
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Today Olivia is carrying her history textbook and her lunch in her backpack. If the history textbook weighs 1/2 of a pound and her lunch weighs 2/3 of a pound, how much weight is in Olivia's backpack?
Weight is in Olivia's backpack is 5/6 pound.
As in the given problem olivia's history book weights 1/2 of a pound and
her lunch weighs 2/3 of a pound.
As both the units are same,
Thus total weight must be summation of both history book and her lunch box.
total weight is =1/2 +2/3 pound
= (3+2)/6
that is equal to 5/6 pound.
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Please what is the awnser..
i woll proof the answer here
Step-by-step explanation:
J.o.i.n pqp-yuth-ygd
Which of the following is not a function of x?
The circled graph given at the end of the answer is not a function of x.
What is the missing information?The graphs for which we choose the one which is not a function are missing, and are given at the end of the answer.
When does a graph represents a function?A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y. Vertically aligned points mean that a value of x is mapped to multiple values of y, that is, a single input is mapped to multiple outputs which disqualify the relation as a function.
For this problem, we have that:
The circled graphed has vertically aligned points, that is, values of x inside the circle are mapped to multiple values of y, hence the graph is not a function.The other two graphs have no vertically aligned points, meaning that each value of x is mapped to only one value of y, hence they are functions.Hence the circled graph given at the end of the answer is not a function of x.
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50 point help needed Which table represents y as a function of x
Answer:4
Step-by-step explanation:
tbh because i said so
Nanuk has a savings account which
gathers compound interest each year.
He opened the account with a deposit of
£2000.
After 4 years there is £2545.10 in the
account.
Work out the annual interest rate of the
savings account.
Give your answer as a percentage to 1
dp
The rate of interest compounded annually is 6.4 %.
What is compound interest?Compound interest is the interest we earn on both principle and interest.
Nanuk in his savings account had 2000 euros which became 2545.10 in 4 years compounded annually.
Here, Amount(A) = 2545.10, Principle(P) = 2000, Time in years(n) = 4 and we have determine the rate of interest which is r.
We know, For compound interest A = P( 1 + r/100)ⁿ which is,
[tex](\frac{A}{P})^\frac{1}{n}[/tex] [tex]= ( 1 + \frac{r}{100})[/tex].
[tex](\frac{A}{P})^\frac{1}{n} - 1 = \frac{r}{100}[/tex].
[tex](\frac{2545.1}{2000})^\frac{1}{4} - 1 = \frac{r}{100}[/tex].
[tex](1.28)^\frac{1}{4} - 1 = \frac{r}{100}[/tex].
[tex]1.064 - 1 = \frac{r}{100}[/tex].
[tex]0.064 = \frac{r}{100}[/tex].
[tex]r = 6.4[/tex].
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What are the three ways to represent a proportions
Answer: Product of extremes (numbers on extreme edges) = product of means i.e., ad = bc
a, b, c, d,…. are in continued proportion means, a:b = b:c = c:d
a:b = b:c then b is called mean proportional and b2 = ac
The third proportional of two numbers, a and b, is c, such that, a:b = b:c
d is fourth proportional to numbers a, b, c if a:b = c:d
Step-by-step explanation:
Answer: GoodMorning: ) ✨ According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other. Proportions are denoted using the symbol '::' or '='. For example, 2:5 :: 4:8 or 2/5 = 4/8.
Two values x and y are said to be directly proportional to each other when the ratio x:y always remains the same. Example : If we buy two pen for 50 Rs. It will cost us 100 Rs for four pen. Two values x and y are said to be inversely proportional to each other when the ratio x:y1 always remains the same.
Hope This Helps <3
Step-by-step explanation:
(2x + 1)(x + 8)
Put answer in standard form.
Answer:
2x² + 17x + 8
Step-by-step explanation:
Let's solve the problem,
→ (2x + 1)(x + 8)
→ 2x(x + 8) + 1(x + 8)
→ 2x² + 16x + x + 8
→ 2x² + 17x + 8
The answer is 2x² + 17x + 8.
The net price of an article is $79.84. What is the list price if a discount of 23% was allowed?
Answer:
about 61.48
Step-by-step explanation:
100-23= 77% of the original price 79.84x.77= 61.4768 round = $61.48
A _____ is a currency whose value is tied to another currency, meaning that the exchange rate is fixed.
A pegged currency is a currency whose value is tied to another currency, meaning that the exchange rate is fixed.
A fixed exchange rate, sometimes known as a tagged exchange rate, is a type of exchange rate regime in which a monetary authority fixes or pegs the value of one currency to the value of another, a basket of other currencies, or another measure of worth, such as gold.
An exchange rate stabilization strategy known as a currency peg involves a national government or central bank setting a fixed exchange rate for its own currency with a foreign currency or a basket of currencies.
A pegged currency is one whose value is fixed at a specific exchange rate because it is linked to another currency.
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A teacher supply store is sponsoring a raffle for teachers to win school supplies. The price of a raffle ticket is $1.00. For teachers the raffle tickets are 40% off, while for administrators there is a 10% discount. Ms. Russell purchased a combination of teacher-discount tickets and administrator-discount tickets for a total of 349 raffle tickets for the entire school. If she spent a total of $248.70 on raffle tickets, how many of each type did she purchase?
Answer:
Admin. tickets: 131
Teacher tickets: 218
Step-by-step explanation:
Let t = the number of teacher tickets
Let a = the number of admin tickets
t + a = 349
.6t + .9a = 248.70 teacher pay 60 cents and admin pays 90 cents.
Solve the first equations for t
t + a = 349
t = 349 -a Substitute 349 - a for t into the second equation
.6(349 -a) + .9a = 248.70 I want to clear the decimal, so I will multiply through by 10
6 (349 - a) + 9a = 2487 Distribute the 6
6(349) - 6a + 9a = 2487
2094 - 6a + 9a = 2487 Combine like terms
2094 + 3a = 2487 Subtract 2094 from both sides
3a = 393 Divide both sides by 3
a = 131 This is the number of admin tickets purchases.
Plug 131 for a into either of the first two equations
t + a = 349
t + 131 = 349 Subtract 131 from both sides of the equations
t = 218
The purchase for teachers $130.8 and for administrators $117.9.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let the number of teacher be x.
So, for Teacher after discount raffle tickets will be 0.60x
and, for administrators after discount raffle tickets will be 0.90(349-x)
Now, Total spent on raffle tickets=$248.70
248.70 = 314.1 - 0.9x + 0.6x
-65.4 = -0.3x
x= 218
Thus, for teachers $130.8 and for administrators $117.9
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Which image shows a pair of polygons
According to the question, there are two similar polygon images.
First similar polygon images whose pair coordinates are: (4,15) with (7,5). And the second image whose coordinates are: (13,4) and (14,15).
What is a polygon?
A closed form in a two-dimensional figure is a polygon. It has a flat, solid form, and all of its sides are attached to one another. In nature, sides need to be straight rather than curled. And the form is completely closed. It starts and ends at the same place. It is a plane form, meaning that only straight lines or line segments make up the shape.
What is an example of a polygon?Polygons include shapes like triangles, hexagons, pentagons, and quadrilaterals. The shape's number of sides is indicated by the name. For instance, a triangle has three sides, but a quadrilateral has four.
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Set up an equation that can be used to solve the problem. Solve the equation and determine the desired value.
When sales representatives for a pharmaceutical company drive to out-of-town meetings that require an overnight stay, they receive $160 for lodging plus $0.50 per mile driven. How many miles did Joe drive if his company reimbursed him $265 for an overnight trip?
The equation is ____. Joe drove ____ miles.
Answer:
1) y=160+0.5x
2) 210 miles=x
Between 10 pm and 7:36 am, the water level in a swimming pool decreased by 8/25 in. What is the constant rate
Answer:
he waters level dropped inch each hour
Step-by-step explanation:
- Between 10 P.M. and 7:45 A.M., the water level in a swimming pool
decreased by 13/16 inch
- Assuming that the water level decreased at a constant rate
- We need to find the drop each hour that means the unit rate of
decreased of the level of the water
- At first lets hind how many hours between 10 P.M. and 7:45 A.M.
∵ Between 10 P.M. and mid-night 2 hours
∵ Between mid-night and 7:45 A.M. 7 hours and 45 minutes
- Lets change 7 hours and 45 minutes to hours
∵ 1 hour = 60 minutes
∴ 45 minutes = 45 ÷ 60 = hours
∴ 7 hours and 45 minutes = hours
∴ The total hours between 10 P.M. and 7:45 A.M. = 2 + hours
∴ The total hours between 10 P.M. and 7:45 A.M. =
∵ The unit rate of decreased = The decreased level ÷ total hours
∵ The decreased level is inche
∵ The total hours = hours
- Lets change the mixed number to improper fraction
∵ =
∴ =
∵ The unit rate of decreased = ÷
- To solve the division of 2 fractions change the division sign to
multiplication sign and reciprocal the fraction after the division sign
∴ The unit rate of decreases = ×
∴ The unit rate of decreases = inch per hour
The water level dropped inch each hour
Answer:
1/30 inch per hour
Step-by-step explanation:
The time passed was 9 hours and 36 minutes, which is the same as 9.6 hours.
So, the constant rate, in inches per hour, is
[tex]\frac{8/25}{240/25}=1/30[/tex]
Paul had 84 fliers to post around town. Last week he posted 1/6 of them. This week, he posted 4/7 of the remaining fliers. How many fliers has he still not posted?
The number of fliers that he has not posted is 8
What is proportion?Proportion can be defined as the mathematical comparison of two elements or numbers.
From the information given, we have that;
Total number of fliers is 84First week, 1/6 of the floors were postedThis week, 4/7 of the remaining were posted.To determine the number of fliers remaining, we have that;
Remaining fliers for the First week
= 84 × 1/6
Multiply and find the quotient
= 14 fliers
Fliers remaining after the last week
= 14 × 4/7
Multiply and find the quotient
= 56/7
= 8 fliers
Thus, the number of fliers the he has not posted is 8
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The Japan Trench is 9 km below sea level. The Peru-Chile Trench is 8 km below sea level. What is the difference of depths between them, and which trench is deeper?
−17 km, and the Japan Trench is deeper
−1 km, and the Peru-Chile Trench is deeper
1 km, and the Japan Trench is deeper
17 km, and the Peru-Chile Trench is deeper
The depth of the Japan Trench is 9 kilometers. There are 8 km below sea level in the Peru-Chile Trench. The difference of depth between them is 1km.
1. −17 km, and the Japan Trench is deeper is False.
2. −1 km, and the Peru-Chile Trench is deeper is False.
3. 1 km, and the Japan Trench is deeper is True.
4. 17 km, and the Peru-Chile Trench is deeper is False.
Given that,
The depth of the Japan Trench is 9 kilometers. There are 8 km below sea level in the Peru-Chile Trench.
Based on the difference in depth between the Japan Trench and the Peru-Chile Trench, which is 1 km deeper, the Japan Trench is deeper.
The trench that is lower to sea level has a deeper depth. In other words, it is the one that is lower than the others by a wider amount.
The depth of the Japan Trench is 9 kilometers. There are 8 km below sea level in the Peru-Chile Trench. The Japan Trench is hence deeper as a result.
The difference is 9-8=1 km
Therefore, the difference of depth between them is 1km and 3rd option is True which is 1 km, and the Japan Trench is deeper.
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Answer:
c
Step-by-step explanation:
Identify the key features of the function f(x)=|x-3|
The key features of the function are
Domain: -∝ < x < ∝Range: [0, ∝)Vertex = (3, 0)How to determine the key features of the function?The function is given as
f(x) = |x - 3|
The above function is an absolute value function, and the key feature are:
DomainRangeVertexGenerally, the domain of an absolute value function is the set of all real values
This means that
Domain: -∝ < x < ∝
An absolute value function is represented as
f(x) = a|x - h| + k
Where
Vertex = (h, k)
By comparison, we have
Vertex = (3, 0)
a = 1
Because the variable a is positive, the vertex of the function is a minimum
So, the range is [0, ∝)
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sam ran 3 2/3 miles on friday. on saturday, he ran 2 1/9 more miles than he ran on friday. how many miles did he run on saturday? enter the answer in the box in the simplest fraction form. use "/" for the fraction bar
Answer:
5 7/9
Step-by-step explanation:
3 2/3 + 2 1/9 get the common denominator of 9 by making 2/3 6/9
3 6/9 + 2 1/9 add whole numbers to get 5 and numerators to get 7/9
thus 5 7/9
hope this helps! :)
Write the number 8.62 thousand or 8.62K in ordinary notation.
Answer:
8,620 (Scientific notation is 8.62*10^3)
Step-by-step explanation:
Question... isn't it just the real number?
Given that m<3= 55°
what is m<2?
what is m<1?
Answer:
m<1 = 70 OR 290
m<2 = 35
Step-by-step explanation:
m<2
m<3 + m<2 = 90°
55° + m<2 = 90°
90° - 55° = m<2
m<2 = 35°
m<1
I'm not sure if it is asking for the reflex angle outside of the blue triangle or the acute angle on the inside so I'll do both
acute angle
The Blue triangle is an isosceles triangle so the two sides on the same line on the left hand side are equal
55°+55°+m<1=180°
110°+m<1=180°
(m<1=70°)
reflex angle
using the above working for the acute angle:
360°-70°=m<1
m<1 = 290°
------------------------------------------------------------------------------------------
Hope this helps! :)
- Riona
-0.72 divided -0.9 answer
Answer:
0.8
Step-by-step explanation:
Answer:.9
Step-by-step explanation:
Through (-3, 1), perpendicular to y = 1/2x-5
Find the negative reciprocal of the slope of the original line and use the point-slope formula y-y_(1)=m(x-x_(1)) to find the line perpendicular to y(1)/(2)x-5.
y=-2x-5
Step-by-step explanation:
Henry’s mom made fruit arrangements for a party. She made 3 times as many strawberry arrangements as pineapple arrangements. Henry’s mom made a total of 20 arrangements. How many arrangements if each type did Henry’s mom make? Complete the bar model. Write an equation and solve
Answer:
15 strawberry arrangements, 5 pineapple arrangements
Step-by-step explanation:
First, you come up with an equation based on the problem:
3x+x=20
Then you simplify:
4x=20
Now you divide 20 by 4 to get the answer 5 FOR X
Still you have to find out the strawberry arrangements
Since it is three times, multiply 5 and 3 to get 15
5 strawberry arrangements, 5 pineapple arrangements
how do i find the range of this ??
the range of the graphed relation is just:
R: y ∈ {2, 3, 4, 5, 6}
How to find the range of the given relation?A relation maps elements x into elements y, and for that relation, we define the domain as the set of the possible inputs (values of x) and the range as the set of outputs (set of values of y).
On the table you already wrote we can see that the values of y are:
2, 3, 4, 5, 6
Then the range is just:
R: y ∈ {2, 3, 4, 5, 6}
Where "∈" means "belongs".
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Una calle de 90 metros de largo y 10 de ancho , se halla pavimentada con 24,000 adoquines. ¿cuantos adoquines se necesitan para pavimentar otra calle del doble de largo y cuyo ancho es los 4/5 de la calle anterior?
Se necesita 43,200 adoquines para cubrir una calle de 180 metros de largo y 8 metros de ancho.
¿Cuántos adoquines son requeridos para cubrir una calle?
Cada adoquin cubre una porción del área total de la calle (A), en metros cuadrados, de modo que el total de adoquines es directamente proporcional al área de la calle. El área de la calle es igual al producto de su largo y su ancho, ambos en metros. El total requerido de adoquines se estima mediante regla de tres simple:
x / 24000 = [2 · 90 · 0.8 · 10] / [90 · 10]
x / 24000 = 1.8
x = 43200
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A boat traveled 150 miles in 1/2 hours.At this rate,how many miles will the boat travel in 8 hours??
Answer:
Good
Step-by-step explanation:
it is a
Answer:2400 miles
Step-by-step explanation:
150 miles in 1/2 hour. 150x2=300. 300 miles in 1 hour.300x8=2400. 2400 miles in 8 hours.
If LN=12X+16, what is the length of LN in units
The length of LN in units is 64 units
How to determine the length of the line LNThe complete question is added as an attachment
From the question, we have the following parameters
LM = 10x + 8
MN = 5x - 4
LN = 12x + 6
The above means that
LN = LM + MN
So, we have
10x + 8 + 5x -4 = 12x + 16
Evaluate the like terms
So, we have
15x +4 = 12x + 16
Collect the like terms
So, we have
15x - 12x = 16 - 4
Evaluate the like terms
So, we have
3x = 12
Divide both sides by 3
x = 4
Next, we substitute x into LN = 12x + 16
So, we have
LN = 12(4) + 16
Evaluate
LN = 64
Hence, the length of LN in units is 64 units
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Megan's text messaging plan costs $15 for the first 500 messages and 5¢ for each additional text message. If she owes $21.55 for text messaging in the month of May, how many text messages did she send that month?
Answer:
631
Step-by-step explanation:
15+(0.05x131)=21.55
131+500=631