Let's start with the two consecutive numbers. We don't know what are the two numbers that are side by side (consecutive), so we'll use variables but with a twist...instead of x and y, we'll use x for the first number and x+1 for the other number because the other number is 1 more than the value of x. So part of the problem looks like this: (x)+(x+1).
The problem says "the sum of one-third of the first and one-fourth of the second equal 9." One-third of the first would be 1/3(x) and one-fourth of the second would be 1/4(x+1) so if the sum is 9, then the problem is:
1/3(x)+1/4(x+1)=9.
Since we need to solve for x, we must remove the fractions. Right now they have different denominators so we need to make them the same. The least common denominator is 12 so that's the denominator to use, thus...
1/3x becomes 4/12(x) and 1/4(x+1) becomes 3/12(x+1).
Now the equation is 4/12(x)+3/12(x+1)=9
Multiply both sides by 12 so the denominators are gone:
[12•]4/12x+3/12(x+1)=9•12
4x+3(x+1)=108
Using distribution, it's now 4x+3x+3=108. Continuing on with the math...
7x+3=108
7x=105
x=15
We found x! If x=15 the the next number must be 16. Let's check the math: Does 1/3(15)+1/4(16)=9?
5+4=9 and 9=9 so YES! The numbers are 15 and 16
Determine the slope and y-intercept of the linear function represented by the following scenario: Brooke and her friends decide to go bowling. The cost for the group is $15 for shoe rentals plus $4.00 per game.
The slope of the given scenario will be 4.
The y - intercept of the given scenario will be 15.
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The cost for the group is $15 for shoe rentals plus $4.00 per game.
Now,
Let number of games = x
And, Total cost of the bowling's = y
Here, The cost for the group is $15 for shoe rentals plus $4.00 per game.
So, We can formulate;
⇒ y = $4.00x + $15
⇒ y = 4x + 15
Compare with the standard form of equation of line y = mx + c, we get;
⇒ Slope = 4
And, The y - intercept = 15
Thus, The slope of the given scenario will be 4.
The y - intercept of the given scenario will be 15.
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Use the following figure to answer the questions. Isosceles trapezoids ABCD and WXYZ are similar to each other.
Determine which of the following statements are NOT TRUE for similar isosceles trapezoids ABCD and WXYZ. Select all situations that apply.
Answer:
Step-by-step explanation:
Answer:
AD is not parallel to BC -- they are going opposite directions
AD does not equal DC -- there is nothing saying that they are congruent in length
YX is not parallel to ZW -- they are going opposite directions
Someone help please
Answer:
[tex]6^\frac{1}{10}[/tex]
Find the length of the hypotenuse of a right triangle where the perpendicular sides are 3 in. And 4in. In length
Answer:
5 inches
Step-by-step explanation:
To find the hypotenuse or any side of a right triangle, use the Pythagorean theorem. This is [tex]a^2+b^2=c^2[/tex] where a and b are the perpendicular sides and c is the hypotenuse. So, plugin 3 and 4 for a and b. This gives 9+16=c^2, which is equal to 25=c^2. Then, take the square of both sides to get c=5.
Another way to solve this is to know the triples. Triples are right triangles that have integers for all of their sides. The triple 3,4,5 is the smallest and most common triple.
Harry buys a wand for $12.50 plus 8% tax. Ron buys his sister a diary for $13 plus 8% tax. Write the sum, in dollars, that Harry and Ron paid, including tax.
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Answer:
$27.54
Step-by-step explanation:
The straightforward way to do this is to compute the tax and total on each amount, then add those together. There is an easier way.
($12.50 + 0.08·12.50) + ($13.00 + 0.08·13.00) = $12.50·1.08 +13.00·1.08
= 1.08($12.50 +13.00)
= 1.08·$25.50
= $27.54
Together, Ron and Harry paid a total of $27.54.
is -4.9 bigger or smaller then 3.6
Answer:
Smaller
Step-by-step explanation:
On the number line, 3.6 is on the right side while -4.9 is on the left side. The closer to the right on the number line, the bigger the number.
Answer:
its smaller because negative numbers are to the left of positive numbers and when a number is to the left of another number its less than
if 2y - 7 = 18 what is the value of 2y + 3
Solve the equation for x.
5x = -60
Answer:
x=-12
Step-by-step explanation:
5x/5=1x = -60/5=-12
x=-12
Answer:
-12
Step-by-step explanation:
5x=-60
Divide both sides by 5 to isolate
X=-12
Please need help 15 points
One year of membership at a rec center includes a fixed monthly cost and a one-time membership fee. The following table contains some of the ordered pairs for this linear relationship between the number of months enrolled and the total cost paid for the membership.
Which graph correctly represents this linear relationship?
PLS ANSWERR AND EXPLAIN HOW YOU GOT THE ANSWE PLSSS YOULL BE MARKED AS BRAINLIST.just plss helpp
Answer:
Graf 2 is correct
Step-by-step explanation:
The correct graph that represents the linear relationship is Graph B with a positive slope.
The table shows a linear relationship between the number of months enrolled and the total cost paid for the membership.
To determine which graph represents this relationship, we need to check if the cost increases or decreases as the number of months enrolled increases. If the cost increases, it means the graph should have a positive slope. If the cost decreases, it means the graph should have a negative slope.
Let's look at the table:
Number of Months Enrolled Total Cost
1 75
2 100
3 125
As the number of months enrolled increases, the total cost increases. Therefore, the graph should have a positive slope. From the given options, the graph that correctly represents this linear relationship is Graph B, which has a positive slope.
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please help me if you can if your going to say I'm cheating i don't care cause i know I'm not thanks!!
Answer:
13.9 sorry if I'm wrong just trying to help.
Step-by-step explanation:
first plug in your numbers
a*2+ b*2= c*2
12*12= 144
7*7=49
144+49= 193
square root of 193: 13.89244399
rounded to nearest tenth is 13.9
PLEASE HELP!!!
Find the slope of the line graphed below.
Answer:
slope = -8/5
Step-by-step explanation:
m= y2-y1/x2-x1
m=(4-(-4))/(-1-4)
m= 8/-5
Answer:
-8/5
Step-by-step explanation:
Rewrite the equation below so that it does not have fractions.
3/4x-5=3/8
Do not use decimals in your answer
Answer:
6x-40=3
Step-by-step explanation:
3/4 x -5 =3/8
Multiply each side by 8 to get rid of the fractions.
8(3/4x -5 ) =8*3/8
Distribute
6x-40=3
_________
[tex] \: [/tex]
[tex] \frac{3}{4} x - 5 = \frac{3}{8} [/tex]
[tex] \frac{3}{4} x = \frac{3}{8} + 5[/tex]
[tex] \frac{3}{4} x = 5 \frac{3}{8} [/tex]
[tex] \frac{3}{4} x = \frac{43}{8} [/tex]
[tex]x = \frac{43}{8} \times \frac{4}{3} [/tex]
[tex]x = \frac{172}{24} [/tex]
[tex]x = \bold{7 \frac{1}{6}} [/tex]
A spinner included in a board game has four equally sized sections, as pictured below.
If a player spins and gets a 3, what is the probability they will get 3 on the next spin?
a. 0.25
b. 0.5
c. 0
d. 1
Answer:
.25
Step-by-step explanation:
Since it's a random and equal chance, you can completely disregard what he got previously. There is always a 1 in 4 chance no matter what. .025 is correct.
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Answer:
a. 0.25
Step-by-step explanation:
A spinner in an algebra problem is generally considered to have equal probabilities for equal areas. It is also generally considered to have the characteristic that the value produced by the next spin is independent of the value produced by the last spin.
With those assumptions in mind, the probability of getting a 3 is always 0.25. It is never anything else with this 4-section spinner.
what is -10 . -2 reflected to the y axis
What is 1 + 7k + k = -7? With work provided
Answer:
k=-1
Step-by-step explanation:
A cyclist rode at an average speed of 15 mph for 30 miles. How long was the ride? 0. 5 hours 1 hour 2 hours 3 hours.
Answer:
2 Hours
Step-by-step explanation:
using the relationship
distance = speed × time, then
time =[tex]\frac{distance}{speed}[/tex] =[tex]\frac{30}{15}[/tex] = 2 hours
A ball was thrown off of a 32 foot bridge and reached a maximum height of 50 feet after 3 seconds. How long
was the ball in the air?
a. 10 seconds
b. 6 seconds
c. 32 seconds
d. 8 seconds
PLEASE HELP NUMBER 3 ASAP ILL GIVE BRAINLIEST THANKS
Answer:
Sarah gets 2 A's.
Step-by-step explanation:
Sarah's mother gives her $10 for each B she receives. She received 3 B's, so 3x10 is 30. You subtract 80-30. You get 50. She receives $25 for each A. You then divide 50 by 25, and are left with 2. The answer is that Sarah received 2 A's on her report card.
Hope you have a great day,
Ginny
help me on maths asap
Answer:
x= 105°
Step-by-step explanation:
one interior angle of a hexagon is=120°
one interior angle of an octagon is=135° 360-255= 105
The size of the angle between the two regular polygons, marked x, is: 105°.
Interior Angle of a Regular PolygonAn interior angle of a regular polygon = [(n - 2)180]/n.Octagon has 8 sides, while hexagon has 6 sides.Thus,
x° = 360 - sum of one interior angle of the regular octagon and hexagon.
One interior angle of octagon = [(8 - 2)180]/8 = 135°
One interior angle of hexagon= [(6 - 2)180]/6 = 120°
x° = 360° - 135° - 120°
x° = 105°
Therefore, the size of the angle between the two regular polygons, marked x, is: 105°.
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HELP! GIVING OUT BRAINLIEST!
find the probability that the sum of 2 randomly chosen numbers (0,1,2,3,4,5,6,7,8,9) is no greater than 10
Answer:
1 po iyan tama iyan trust mr
If 2.2 is 1/5 of a fraction, what is 2.8 of a fraction?
Answer:
the fraction of 2.8 is 14/5 u can simplify it bye dividing 14 by 5 and u will get a mixed number
"Four is three times the sum of a number and two."
turn this into an equation
Answer:
4=3(n+2) or if you want the unknown variable to be x, then 4=3(x+2)
Step-by-step explanation:
Four is : 4=
3 times the sum : 3(_+_)
sum of a number and two : n+2
4=3(n+2)
Hello! :)
4=3(z+2)
Explanation:
4 is means 4=
3 times the sum of a number and two. There's a hint that tells us that we should multiply 3 by both the number and two, and here's how we indicate that:
3(z+2)
Let our number be z.
The sum of two numbers means we add the numbers together.
So, our equation looks like this:
4=3(z+2)
Hope it helps you!
If you have any query, feel free to ask!
~An excited gal
[tex]MagicalNature[/tex] here to help
The Quadratic equation y=0.5(x-1)(x-n) has an x - intercept at (1,0) and a vertex at (-2,4.5). what is the value of n A -5 B -2 C 2 D 5
Step-by-step explanation:
the point being that a quadratic equation has 2 x-intercepts (or solutions of x for y = 0).
the advantage of this nice form the equation is written in is, that we see immediately both conditions, when y can be 0 : one of the bracket expressions must be 0.
so, the point (1, 0) covers (x-1).
we get the solution for (x-n), when we consider that such a quadratic function is simply a parabola and is symmetric around its vertex point.
the x value of the vertex (-2) tells us, that it is 3 units on the left side of the (1, 0) x-intercept point.
due to the symmetry of the curve the second x-intercept point must be even further to the left with additional 3 units distance in x direction.
so, -2 - 3 = -5
and A is the correct answer option.
Elizabeth wants to buy her mother a pair of pearl earrings for Mother’s Day. The earrings cost $50. The sales tax rate is 7.5%. What is the total amount Elizabeth will have to pay to purchase this gift?
Answer:
$46.25
Step-by-step explanation:
50 divided by 7.5% equals 3.75
Minus 3.75 from 50 to find the removed amount.
Answer:
Cost of the gift = $53.75
Step-by-step explanation:
Total cost of the gift = cost of the earrings + (cost of the earrings × sale tax)
Cost of the gift = $50 + ($50 × .075) 7.5% = .075
Cost of the gift = $50 + $3.75
Cost of the gift = $53.75
Please help me! Thanks in advance
Answer:
the answer is
Step-by-step explanation:
that im not good with math so good luck
It costs $7 each way to travel to work each weekday by train. What is the weekly expense each way?
Answer:
it could either be 35 or 70
Step-by-step explanation:
Which of the following is a run on sentence
Answer:
It is defiantly either C or D.
Step-by-step explanation:
It's not A because it has a period with means there is 2 sentences and not 1.
It's not B because it does not have multiple commas.
It might most likely be C because it has the most amount of commas.
If I'm wrong about C, than try D.
2 √7+3√7
can you guys give me the answer and explanation
Answer:
5[tex]\sqrt{7}[/tex]
Step-by-step explanation:
This is similar to collecting like term in algebra
2[tex]\sqrt{7}[/tex] + 3[tex]\sqrt{7}[/tex]
= (2 + 3)[tex]\sqrt{7}[/tex]
= 5[tex]\sqrt{7}[/tex]
Evaluate and simplify the
expression when x=10 and y=7.
?
5+ y
6x
