[tex]9(4x-6) = 2(-3-2x)\\\\\implies 36x - 54 = -6-4x \\\\\implies 36x +4x = 54 -6 \\\\\implies 40x = 48\\\\\implies x = \dfrac{48}{40} = \dfrac{6}5[/tex]
On the first down the team returned the ball to the 30 yard line, then they ran the 42 yard line for a gain. which number represents the change? (number line is on pic)
a. -12
b. 0
c. +4
d. +12
Hi, can someone please help me with this? I’ll give branliest if i can!
The number which represents the gain as per the question is +12. Hence, option "d" is correct.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the information given in the question,
Firstly, the team returned the ball to the 30-yard line.
Then, hey ran to the 42-yard line for a gain.
Then, the number that shows the change will be,
= 42 - 30
= +12, there is gain of +12.
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Sam and Diane each open a savings account at the same time. Sam invests $4,500 in an account yielding
3.2% simple interest, and Diane invests $5,000 in an account yielding 6.2% simple interest. After twelve
years, who has the greater total of money, and how much greater is it?
Answer:
Step-by-step explanation:
The basketball team and volley ball team are having a competition to see which team can raise the most money for a local charity.
The basketball team is selling raffle tickets for 4.50 each and has already raised $275
The volleyball team is selling raffle tickets $2.50 each and has already raised $500
write an equation to present total (T) that each team has raised after selling (x) number of raffle tickets
Basketball Team: ____________
Volleyball Team: ____________
write an equation that would represent when the basketball team would have more money than the volleyball team.
How many tickets would the basketball team need to sale to have more money than the volleyball team?
Basketball Team Equation: _________
Volleyball Team Equation: _________
Basketball answer:_____
Volleyball answer:_____
Answer:
Step-by-step explanation:
write an equation to present total (T) that each team has raised after selling (x) number of raffle tickets
Basketball Team: T(B) = 4.50x(B)
Volleyball Team: T(V) = 2.50x(V)
The problem staes use x for the number of tickets, but I've noted these numbers as a function of basketball, x(B), and volleyball, x(V).
We know the amounts each team has raised, sio we can calculate the number of tickets:
Basketball
$275 = $4.50x(B)
x(B) = 61.11 [There can't be 0.11 ticket, so round down to 61 and declay an error in making change]: 61 tickets from the Baseball team
$500 = $2.50x(V)
x(V) = 200 tickets from the Volleyball team
---
"write an equation that would represent when the basketball team would have more money than the volleyball team."
We want the ratio of T(B) to T(V) to be greater than 1 [the total basketball sales are greater than the total Volleyball sales.]
T(B)/T(V) = ($4.50x(B))/($2.50x(V))
1 <= ($4.50/$2.50)*(x(B)/x(V))
1 <= 1.8(x(B)/x(V))
x(V) <= 1.8*(x(B))
The baseball team needs to sell 1.8 times the number of tickets sold by the baseball team.
----
The basketball team is jealous and wants to know how many more tickets they need to sell to catch up with the volleyballers.
To reach $500:
$500 = $4.50*x(B)
x(B) = 111.11 (Another rounding problem, but we don't need to worry. It wants to kniow "how many MORE."
(111.11 - 61.11) = 50 more tickets to reach the same $500 the Volleyball team has collected.
A circle is divided into equal parts. An angle turns through one of the parts, as
shown below. Which equation shows a way to find the measure of the angle?
Answer:
1/6 = 60/360
Step-by-step explanation:
The circle is split into 6 parts and a circle equals 360°
1/6 = x/360
Cross Multiply...
6x = 360
Divide to isolate x...
x = 60
The equation measures the angle that will be 1 / 6 = x / 360. Then the correct option is D.
What is a circle?It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.
A circle is divided into equal parts. An angle turns through one of the parts, as shown below.
Then the equation shows a way to get the measure of the angle that will be
The arc of the circle makes 360°. And the circle is divided into six equal parts, and then the angle of each section will be equal.
Let x be the angle of each section.
Then the ratio of the area of the complete circle and one-sixth circle. Then we have
A₁ = 6A₂
Then we have
A₂ / A₁ = [(x/360) πr²] / [πr²]
A₂ / 6A₂ = x / 360
1 / 6 = x / 360
Then the value of x will be
x = 60°
More about the circle link is given below.
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Find the value of x. Then find the measure of each labeled angle
Answer:
x = 12
9x = 108º
6x = 72º
Step-by-step explanation:
The angles sum to 180º
9x + 6x = 180
15x = 180
x = 12
9x = 9 * 12 = 108
6x = 6 * 12 = 72
In the given parallelogram, we can see that 9x° & 6x° are adjacent angles. 2 adjacent angles in a parallelogram sum up to 180°. So,
9x° + 6x° = 180°
15x° = 180°
x = 180/15
x = 12
Now,
6x° = 6 × 12 = 72°
9x° = 9 × 12 = 108°.
=》The value of 'x' is 12 & the measure of each labelled angle is 72° & 108°.
________
Hope it helps ⚜
solve for x help it's due today
Answer:
x = 8√2
Step-by-step explanation:
use the pythagorean theorem with the 2 sides being the same
16^2 = x^2 + x^2
256 = 2x^2
Divide both sides by 2
128 = x^2
Take the square root of both sides
x = √128
x = √(64 * 2)
x = 8√2
Answer:
x= [tex]8\sqrt{2}[/tex] or 11.31
Step-by-step explanation:
You know that the shape is a square that is divided making 2 triangles. They are examples of 45-45-90 degree triangles. So with this information, you know that both lengths of the triangles are equal, with a hypotenuse of 16.
Side C= 16
Side A= Side B
45-45-90 Formula
Side C= [tex]a\sqrt{2}[/tex]
16= [tex]a\sqrt{2}[/tex]
[tex](16= a\sqrt{2})^{2}[/tex]
256=[tex]2a^{2}[/tex]
128=[tex]a^{2}[/tex]
[tex]\sqrt{128}[/tex]=a
a= [tex]8\sqrt{2}[/tex] or 11.31
need help what is answer
Answer:
y=-4/3x+1 is the equation of the line perpendicular to 3/4x+5 and goes through the point 3,-3
Step-by-step explanation:
Note that the co-efficient before x is the slope, which i will call m, and a perpendicular line has a slope of -1/m.
-1/m=-4/3
so
y=-4/3x+z,
plug in 3 for x, and -3 for y to get z=1
y=-4/3x+1 is the equation
Renee bought a chocolate bar for her friend. The chocolate weighed 45.8 grams. Renee's little brother ate 29.6 grams of the chocolate. Now how much chocolate does Renee have?
Which equation describes the problem? Use c to express the unknown value.
Answer:
16.2
Step-by-step explanation:
45.8 - 29.6 = 16.2
Renee would have 16.2 grams of chocolate.
a÷b when a = 2 and b = 1/2
Answer:
4
Step-by-step explanation:
a ÷ b = 2 ÷ 1/2 = 2 × 2/1 = 4
Solve the angles of this parallelogram
[tex]6x + 2 + 14x + 2y + 15y + 10 + 6x + 12y = 360° \\ 26x + 29y + 12 = 360° \\ 26x + 29y = 360 - 12 \\ 26x + 29y = 348 \\ 26x + y = \frac{348}{29} \\ 26x + y = 12 \\ x + y = 312[/tex]
Given: 3x < 3.
Choose the solution set.
{x | x > 0}
{x | x < 0}
{x | x > 1}
{x | x < 1}
if you know this can you help ihave to have an 85 or above in math
Answer:
Divide 3 on both sides to get x < 1
Step-by-step explanation:
Hope this helps :)
Pleaseee help me A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depends on the number of
machines made. If x machines are made, then the unit cost is given by the function (x) -0.8x? - 256x+29,444. What is the minimum unit cost?
Do not round your answer.
Answer: 8,964
Step-by-step explanation: x= -b/2a. So, -(-256)/2(0.8)= 160. Plug in 160 to the whole equation.
0.8(160)^2 -256(160)+29444
=8,964
40 PTSS GUYS PLEASE DO THIS PROBLEM ILL GIVE BRAINLIST TOO!
Answer:
where are the problem?
Step-by-step explanation:
sorry no problem
Find any four rational numbers between -2 and -1
Answer:
-19/10, -18/10, -17/10, -16/10
Step-by-step explanation:
Four Rational numbers between -2 and -1 are:-
-1.9,-1.8,-1.7,-1.6
=> -19/10, -18/10, -17/10, -16/10
Answer:
-1.72, -1.8, -11/8, -29/20.
Step-by-step explanation:
Lilly wants to buy a tablet that costs $88.00. Her dad said that he would pay 25% of the cost. How much money will her father contribute towards the tablet? What is the proportion?
Answer:
22 dollars
Step-by-step explanation
If you multiply 88* the percent you will get 22. That means that Lily's dad will contribute 22 dollars to buying her tablet.
f(x) = -2^x
Find the domain and range and explain.
[tex]\\ \sf\longmapsto f(x)+-2^x[/tex]
Graph attached
How to find domain and range from co-ordinate pairs?
If a pair be (x,y)Then x=domain and y=rangeNow look at the graph
Co-ordinate is (0,-1)Here domain can be any real number .
[tex]\\ \sf\longmapsto D_f\in R[/tex]
And
Range starts from 0 and infinite in negative y direction.
[tex]\\ \sf\longmapsto R_f\in (\infty,0][/tex]
One week, London earned $313.50 at her job when she worked for 15 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $647.90?
Answer:
31 hours
Step-by-step explanation:
First you take 313.50 divide that by 15 get 20.9 per hour
Then you take 647.90 and divide that by 20.9
So then you're left with 31 as your answer.
A string of length if meter is cut into 6 equal pieces. What is the
total length of 2 of the pieces? You need to simplify.
Answer:
1/3
Step-by-step explanation:
2/6=1/3
A nurse spent 83% of a 12-h shirt caring for patients. How many hours were devoted to patient care?
Answer:
9.96
Step-by-step explanation:
12 * .83
Answer:
10 hours
Step-by-step explanation:
83% of 12 hours = 0.83 * 12 hours = 10 hours
2x-y=4
-2x+y=7
is there a solution
[tex] \text{Given : 2x - y = 4 and x + 2y = 7}[/tex]
[tex] \text{Solution : according to the question here we are provided with} \\ \text{two equations separately. So, let's name them as eq(1) and eq(2).} \\ \text{ The rest is followed as we continue to get to our goal} \\ \\ \sf {1}^{st} \: equation : \\ \quad\dashrightarrow \frak{2x - y = 4} \\ \\ \quad \dashrightarrow \frak{ \red{x = \frac{y + 4}{2} }} \qquad \sf ...eq(1) \\ \rm{ now \: \: as \:per \: our \: plan \: we \: need \: to \: get \: eq(2) } \\ \\ \sf{ {2}^{nd} \:equation} : \\ \quad\dashrightarrow \frak{ x + 2y = 7} \\ \\ \quad\dashrightarrow \frak{ \red{y = \frac{7 - x}{2}}} \qquad \sf ...eq(2) \\ \\ \text{Now, finding x and y} \\ \\ \underline{ \frak{Finding \: x}}\\ \\ \quad \hookrightarrow \frak{x = \frac{y + 4}{2}} \\ \\ \quad \hookrightarrow \frak{2x = \frac{7 - x}{2} + 4} \\ \\ \quad \hookrightarrow \frak{2x = \frac{7 - x + 8}{2}} \\ \\ \quad \hookrightarrow \frak{2x = \frac{1 - x}{2}} \\ \\\quad \hookrightarrow \frak{4x = 1 - x} \\ \\ \quad \hookrightarrow \frak{5x = 1} \\ \\\quad \star \qquad \underline{ \boxed{ \green{ \frak{x = \frac{1}{5}}}}} \\ \\ \underline{ \frak{Finding \: y}} \\ \\ \quad \hookrightarrow \frak{y = \frac{7 - x}{2}} \\ \\ \hookrightarrow \frak{2y = 7 - \frac{1}{5} } \\ \\ \hookrightarrow \frak{2y = \frac{35 - 1}{5} } \\ \\ \hookrightarrow \frak{2y = \frac{34}{5}} \\ \\ \hookrightarrow \frak{y = \frac{34}{5} \times \frac{1}{2}} \\ \\ \hookrightarrow \frak{y = \frac{17}{5} } \\ \\ \star \qquad \underline{ \boxed{ \frak{ \green{y = 3 \frac{2}{5} }}}}[/tex]
If you start with 85 milligrams of Chromium 51, used to track red blood cells, which
has a half-life of 27.7 days.
How long will it take for 90% of the material to decay?
About 92 days are taken for 90 % of the material to decay.
The mass of radioisotopes ([tex]m[/tex]), measured in milligrams, decreases exponentially in time ([tex]t[/tex]), measured in days. The model that represents such decrease is described below:
[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex] (1)
Where:
[tex]m_{o}[/tex] - Initial mass, in milligrams.[tex]m(t)[/tex] - Current mass, in milligrams.[tex]\tau[/tex] - Time constant, in days.In addition, the time constant is defined in terms of half-life ([tex]t_{1/2}[/tex]), in days:
[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex] (2)
If we know that [tex]m_{o} = 85\,mg[/tex], [tex]t_{1/2} = 27.7\,d[/tex] and [tex]m(t) = 8.5\,mg[/tex], then the time required for decaying is:
[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex]
[tex]\tau = \frac{27.7\,d}{\ln 2}[/tex]
[tex]\tau \approx 39.963\,d[/tex]
[tex]t = -\tau \cdot \ln \frac{m(t)}{m_{o}}[/tex]
[tex]t = -(39.963\,d)\cdot \ln \frac{8.5\,mg}{85\,mg}[/tex]
[tex]t\approx 92.018\,d[/tex]
About 92 days are taken for 90 % of the material to decay.
We kindly invite to check this question on half-life: https://brainly.com/question/24710827
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the systems of equations to their solutions.
2x + y = 12
x = 9 - 2y
x + 2y = 9
2x + 4y = 20
x + 3y = 16
2x - y = 11
y = 11 - 2x
4x - 3y = -13
y = 10 + x
-3x + 3y = 30
2x + y = 11
x - 2y = -7
x = 2, y = 7
x = 5, y= 2
x= 3, y=5
x = 7, y=3
Answer:
the answer is 87 keep trying also the answer 45 aha tricked you
Step-by-step explanation:
um not sure of the answer but loo-kit u p on o just keep trying quay
Answer:
Hey I got you!
Step-by-step explanation:
These are the correct answers I use another easier platform you could say
Which of the following equations have infinitely many solutions?
Answer:
All of the equations seem to have infinitely many solutions.
Step-by-step explanation:
Since the same equations are equal to each other, whatever you replace x with, it will be equal to the other equation's solution since all answers have equations equal to each other.
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!10
The box plots below show the average daily temperatures in January and December for a US city:
January
TH
December
What can you tell about the means for these two months (1 point)
Answer:
like i said no graph i cant help
Step-by-step explanation:
i'm so confused help me pelase
Answer:
Table 2
Step-by-step explanation:
We can solve this by dividing the number of pizzas at each table by the number of kids at each table. This will tell us how much pizza each kid is able to eat:
Table 1:
2 pizzas/5 kids = 2/5 pizzas per kid = 0.4 pizzas per kid
Table 2:
3 pizzas/7 kids = 3/7 pizzas per kid = 0.429 pizzas per kid
Table 3:
5 pizzas/12 kids = 5/12 pizzas per kid = 0.417 pizzas per kid
The kids at table 2 are able to eat slightly more pizza than the kids at the other tables.
Today, Lexi is going to an art museum to see a special exhibit. It takes Lexi 26 minutes to walk to the subway station. She will ride the subway for 5 minutes and then walk 7 minutes to the art museum. If Lexi needs to be at the art museum by 8:00 A.M., what is the latest time she can leave her house?
Answer:
7:22
hope this helps and please mark brainllest
help me with this please!
7. What is the percent of decrease from 40 to
30?
A. 10%
B. 25%
C. 30%
D. 33.3%
Answer:
25%
Step-by-step explanation:
25 percent decrease or reduction from 40 is 30
Describe how the graph of y= 2x is the same and different from the graph of y=2x+8
Answer:
They are the same because they have the same slope, 2. and they are different because they different y-intercepts, 0 and 8.
Step-by-step explanation:
Your equations y=mx+b
m is your slope, both 2 and
b is your y-intercept, 0 for your first one because it doesn't have any, and 8 for your second one.