Answer:
1,365 divided by 8 is equal to 169.5
the fraction form is 169 1/2
3x+4y-6=0
Write this in y=mx+b form, show your work
Answer:
y=(-3/4)x+3/2
Step-by-step explanation:
3x+4y-6=0
3x+4y=6
4y=6-3x
4y=-3x+6
y=(-3/4)x+3/2
To convert 3x + 4y - 6 = 0 to y = mx + b form is :[tex]y = -\frac{3}{4}x + 1.5.[/tex]
The equation given is 3x + 4y - 6 = 0. To write it in y = mx + b form, follow these steps:
Add 6 to both sides of the equation: 3x + 4y = 6.Subtract 3x from both sides to isolate the y-term: 4y = -3x + 6.Divide every term by 4 to solve for y:[tex]y = -\frac{3}{4}x + \frac{6}{4}.[/tex]Simplify the constants:[tex]y = -\frac{3}{4}x + 1.5.[/tex]Now, the equation is in slope-intercept form where m (the slope) is[tex]-\frac{3}{4}[/tex] and b (the y-intercept) is 1.5.
Meiko is hanging a picture collage on her wall. The dimensions of the collage are shown in the diagram. She plans to cover
the collage with smaller pictures that have the same shape as the collage. If the base of each small picture is 4.5 inches and
the height is 3.5 inches, how many small pictures will fit within the collage?
Answer: [tex]\frac{A_{collage}}{15.75\ in^2}[/tex]
Step-by-step explanation:
Since you did not attach the diagram and I don't know the dimensions of the collage, I will give you a general explanation of the procedure you need to use in order to solve the exercise:
1. You need to use the formula for calculate the area of a rectangle:
[tex]A=lw[/tex]
Where "l" is the length and "w" is the width.
2. Using the formula, you must calculate the area of an small picture.
You know that its length is 4.5 inches and its width is 3.5 inches. Therefore, its area is:
[tex]A_{picture}=(4.5\ in)(3.5\ in)\\\\A_{picture}=15.75\ in^2[/tex]
3. Calculate the area of the collage using the formula:
[tex]A_{collage}=(l_{collage})(w_{collage})[/tex]
4. Finally, divide the area of the collage by the area of an small picture in order to find the number of small pictures that will fit within the collage:
[tex]\frac{A_{collage}}{15.75\ in^2}[/tex]
Answer:
C is the answer
Step-by-step explanation: I took a test
Smith chose the underlined words for a reason. What
effect did she hope to have on the audience by using
words with strong negative connotations?
This was one of the matters that motivated Charlotte
Smith to declare that the bicycle had brought about "the
alarming increase of immorality among young women in
the United States" because of the "evil associations and
opportunities" it made possible.
-Wheels of Change,
Sue Macy
She wanted to encourage cycling for women's
health.
She wanted to persuade others that women should
not ride bicycles
She wanted to evoke patriotic feelings in citizens.
She wanted to convince men to ride bicycles.
Answer:
She wanted to persuade others that women should not ride bicycle
Answer:
B.
Step-by-step explanation:
Hugo is pumping regular gas into his truck.Write and wolve an absolute value equation to represent how many galloons of gas will he pumped when the total is $25 plus or minus $0.50
Please, find attached the picture with the whole question.
Answer:
[tex]9.8gallons\leq x\leq 10.2gallons\\ \\ \ [9.8gallons,10.2gallons][/tex]
Both are different forms to represent the same: the amount of gas is between 9.8 gallons and 10.2 gallons, including the borders.
Explanation:
1. Relation between the number of gallons of gas pumped and the total amount paid:
[tex]Number\text{ }of\text{ }gallons=amount\text{ }paid(\$)/price(\$/gallon)[/tex]
2. Conversion
The amount paid is said to be $ 25 ± $0.50
To transform that into number of gallons, divide by the price of the regular gas: $2.50/gallon
[tex]Number\text{ }of\text{ }gallons=\$25/(\$2.50/gallon)\pm$0.50/(\$2.50/gallon)[/tex]
[tex]Number\text{ }of\text{ }gallons=10gallons\pm0.2gallon[/tex]
3. Absolute value equation (inequality)
10 gallons ± 0.2 gallons converted to an absolute value inequality is:[tex]|x-10gallons|=0.2gallons[/tex]
Solution:
[tex]-0.2\leq x-10\leq 0.2[/tex]
[tex]-0.2+10\leq x\leq 0.2+10[/tex]
[tex]9.8\leq x\leq 10.2[/tex]
Hence, the solution is:
[tex]9.8gallons\leq x\leq 10.2gallons\\ \\ \ [9.8gallons,10.2gallons][/tex]
The absolute value equation that represents how many gallons of gas Hugo will pump, assuming a cost of $1.60 per gallon, is |1.6g - 25| ≤ 0.50. Solving this, we find Hugo will pump between approximately 15.31 and 15.94 gallons of gas based on his budget of $25 plus or minus $0.50.
Explanation:Given that Hugo is pumping regular gas into his truck and the total amount he is willing to spend varies between $24.50 and $25.50, we can create an absolute value equation to model this. Assuming the cost per gallon is $1.60, we want to find the number of gallons, represented by 'g', such that the absolute difference between the cost of g gallons and $25 is not more than $0.50.
The absolute value equation would, therefore, be: |1.6g - 25| ≤ 0.50. We can solve this as a compound inequality: -0.50 ≤ 1.6g - 25 ≤ 0.50.
Solving for 'g' in this inequality, we find: 15.3125 ≤ g ≤ 15.9375. This means Hugo will pump between approximately 15.31 and 15.94 gallons of gas.
Learn more about Absolute Value Equations here:https://brainly.com/question/35209059
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If 32x+1 – 3x+5, what is the value of x?
N
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оооо
o
[tex]\boxed{x=\frac{4}{35}}[/tex]
Explanation:Here we have the following equation:
[tex]32x + 1 = - 3x + 5[/tex]
So let's follows these steps:
Step 1: Add 3x to both sides:
[tex]32x + 1 +3x= - 3x + 5+3x \\ \\[/tex]
Step 2. Combine like terms:
[tex]32x + 3x + 1 = - 3x+3x + 5 \\ \\ 35x+1=5[/tex]
Step 3. Subtract -1 from both sides:
[tex]35x+1-1=5-1 \\ \\ 35x=4[/tex]
Step 4. Divide both sides by 35:
[tex]\frac{35}{35}x=\frac{4}{35} \\ \\ \\ \boxed{x=\frac{4}{35}}[/tex]
Learn more:Solving equations by graph: https://brainly.com/question/10643312
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A shipping container is in the shape of a right rectangular prism with a length of 8 feet, a width of 3.5 feet, and a height of 14.5 feet. The container is completely filled with contents that weigh, on average, 0.65 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?
Answer:
Volume = 8 * 3.5 * 14.5 =
406 cubic feet
.65 pounds / cubic foot * 406 =
263.9 pounds
Step-by-step explanation:
Answer:
264 pound if you had to round it
Step-by-step explanation:
How do i slove 6=m/7 -3
Answer:
m=63
Step-by-step explanation:
6=m/7-3
m/7=6+3
m/7=9
m=9*7
m=63
Find the missing number:
QUICKLY PLEASE
Answer:
10
Step-by-step explanation:
x-9/3=56/x+4 solve for x
Answer:
x = sqrt(273)/2 - 1/2 or x = -1/2 - sqrt(273)/2
Step-by-step explanation:
Solve for x:
x - 3 = 56/(x + 4)
Cross multiply:
(x - 3) (x + 4) = 56
Expand out terms of the left hand side:
x^2 + x - 12 = 56
Add 12 to both sides:
x^2 + x = 68
Add 1/4 to both sides:
x^2 + x + 1/4 = 273/4
Write the left hand side as a square:
(x + 1/2)^2 = 273/4
Take the square root of both sides:
x + 1/2 = sqrt(273)/2 or x + 1/2 = -sqrt(273)/2
Subtract 1/2 from both sides:
x = sqrt(273)/2 - 1/2 or x + 1/2 = -sqrt(273)/2
Subtract 1/2 from both sides:
Answer: x = sqrt(273)/2 - 1/2 or x = -1/2 - sqrt(273)/2
To solve the equation x - 9/3 = 56/x + 4 for x, multiply both sides by x, distribute and simplify, factor out x, set each factor equal to zero, and solve for x to get the solutions 0 and 63.
Explanation:To solve the equation x - 9/3 = 56/x + 4 for x:
Multiply both sides by x to get rid of the fraction: x(x) - 9/3(x) = 56 + 4(x)Distribute and simplify: [tex]x^2 - 3x = 56x + 4x[/tex]Combine like terms: [tex]x^2 - 63x = 0[/tex]Factor out x: x(x - 63) = 0Set each factor equal to zero: x = 0 or x - 63 = 0Solve for x: x = 0 or x = 63Therefore, the solutions for x are 0 and 63.
What are the solutions to the system of equations?
y=x2−5x+6y=−4x+6
(−1, 0) and (0, 6)
(0, 6) and (1, 2)
(−1, 0) and (6, 0)
(0, −1) and (6, 0)
Answer:
(0, 6) and (1, 2)
Step-by-step explanation:
hello :
(0, 6) and (1, 2)
put x =0 and y =6 in this system : y=x²−5x+6
y=−4x+6
you have : 6 = 0²-5(0)+6 =6 ...right
6 =-4(0)+6 .... right
same mhethod for:(1, 2)
The solutions are B) (0, 6) and (1, 2).
To find the solutions to the given system of equations:
y = x² − 5x + 6 and y = −4x + 6, we need to set the equations equal to each other and solve for x:
Set x² − 5x + 6 equal to −4x + 6:
x² − 5x + 6 = −4x + 6
Rearrange the equation to get:
x² − x = 0
Factor the equation:
x(x − 1) = 0
Solve for x:
x = 0 or x = 1
Substitute these values back into either original equation to find y:
When x = 0: y = −4(0) + 6 = 6 (so one solution is (0, 6)).
When x = 1: y = −4(1) + 6 = 2 (so another solution is (1, 2)).
Therefore, the solutions to the system of equations are B) (0, 6) and (1, 2)
Give the 46th term of the following sequence: -2, -5,-8, -11, -14, ...
[A] -137
[B] 44
[C] -134
[D] -138
Answer:
d
Step-by-step explanation:
it the 46 one in the pattern
I WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER
Every month, Midtown Grocery Store donates 8-ounce cans of vegetables to a food bank. The food bank's volunteers fill bags with these cans and deliver the bags to families in need.
There is a proportional relationship between the number of bags the food bank's volunteers can fill, x, and the total number of cans they deliver, y.
x (bags) y (cans)
5 50
7 70
8 80
9 90
What is the constant of proportionality? Write your answer as a whole number or decimal.
cans per bag
Answer:8 80
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
A person paid $60 for a vase at an estate auction. She resold it to an antiques dealer for $40. What was her profit or loss?
Answer:
she lost 20 dollars
Step-by-step explanation:
she paid fpr it for 60.
she sold it for 40.
40 is less than 60.
60-40=20
Answer: She losses 20$ for want she sold
What are the angle measures of triangle ABC?
mA= 30°, m ZB = 60°, m 2C = 90°
mZA= 90°, m ZB = 60°, m 2C = 30°
mZA= 60°, m ZB = 90°, m2C = 30°
mZA= 90°, m ZB = 30°, m2C = 60°
∠A = 90°, ∠B = 60° and ∠C = 30°
Step-by-step explanation:
Step 1: Find whether the triangle is a right angled triangle by using Pythagoras theorem. Given sides are a = 24 (opposite to ∠A), b = 12√3 (opposite to ∠B) and c = 12 (opposite to ∠C).⇒ 12² + (12√3)² = 144 + 432 = 576
⇒ √576 = 24 = a. This shows that the triangle is a right angled triangle.
So ∠A = 90°
Step 2: Use trigonometric equations to determine the other angles.⇒ cos B = AB/BC = 12/24 = 1/2
⇒ ∠B = 60°
Step 3: The sum of the angles in a triangle is 180°. To find ∠C,⇒ ∠C = 180° - (90° + 60°) = 180° - 150°
⇒ ∠C = 30°
The angle measures of triangle ABC is therefore;
mZA= 90°, m ZB = 60°, m ZC = 30°
Angle measures of Right trianglesBy testing for Pythagoras triple;
24² = 12² + (12√3)²576 = 144 + 432576 = 576.Hence, the triangle is a right-angled triangle.
We can then evaluate mZC as follows;
Sin C = 12/24 = 0.5C = Sin-¹(0.5) = 30°And angle B = 180 - 30 -90Angle, B = 60°Read more on angle measures in triangles;
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over a month the weight of a turkey increases from 20kg to 24kg calculate the increase as a percentage
Answer:
%120
Step-by-step explanation:
Step 1: Divide the new weight by the original weight.
24/20 = 1.2
Step 2: Change 1.2 into percent
To make a percent, multiply the number by 100
1.2 * 100 = %120
Answer: %120
Area of a triangle = 1/2 bh
Yo sup??
we know that area of a triangle is given by the formula
A=1/2*b*h
where
b=lenght of base
h=height of the triangle
in the given figure
h=x
b=5x/6
plugging in the values, we get
A=1/2*x*5x/6
A=5x²/12
Please name the triangle as ABC and you will get full credit.
Hope this helps
The square root of -1 is:
At the beach, Malia measured the footprints of the people who passed by. The line plot displays the length of each footprint. What fraction of the footprints measure more than afoot?
Length of Footprints
Answer:
still need the answer g?
The United States Air Force has 19 women for every 81 men enlisted. If a squadron has 750 members, approximately how many are women?
Answer: 143
Step-by-step explanation: 19 x 7.5 = 142.5 rounds to 143
Hope this helps
reduce to simplest form
6/3+(- 1/6)
Answer:
11/6
Step-by-step explanation:
6/3+(-1/6)
2+(-1/6)
2-1/6
12/6-1/6
11/6
Answer: 11/6
Step-by-step explanation:
Alan bought two bikes. He sold one to Beth for $300 taking a 25% loss. He also sold one to Greta for $300 making a 25% profit. Did Alan break even? If not, did he have a profit or loss and by how much?
No Alan did not break even
Alan incured a loss of 6.25 %
Solution:
Given that,
Alan bought two bikes
He sold one to Beth for $300 taking a 25% loss
He also sold one to Greta for $300 making a 25% profit
When a person sells two similar items, one at a gain of say x%, and the other at a loss of x%, then the seller always incurs a loss
Which is given as:
[tex]loss\ \% = (\frac{x}{10})^2[/tex]
Here, x = 25
[tex]loss\ \% = (\frac{25}{10})^2\\\\loss\ \% = 2.5^2\\\\loss\ \% = 6.25[/tex]
Thus the loss percentage is 6.25 %
family has an annual income of $23 comma 400. Of this, one fourth
is spent for food, one fifth
for housing, one tenth
for clothing, one ninth
for savings, one fourth
for taxes, and the rest for other expenses. How much is spent for each?
$
nothing is spent for food.
Amount spent for food = $5850, housing = $4680, clothing = $2340, savings = $2600, taxes = $5850, expenses = $2080.
Step-by-step explanation:
Step 1:
Given details are Total Income = $23,400
Step 2:
Amount spent for food, F= 1/4th of 23,400 = [tex]1/4 \times 23400[/tex]
= $5850
Step 3:
Amount spent for housing, H = 1/5th of 23,400 = [tex]1/5 \times23400[/tex]
= $4680
Step 4:
Amount spent for clothing, C = 1/10th of 23,400 = [tex]1/10 \times 23400[/tex] = $2340
Step 5:
Amount spent for savings, S = 1/9th of 13,400 = [tex]1/9\times 23400[/tex] = $2600
Step 6:
Amount spent for taxes, T = 1/4th of 23,400 = [tex]1/4 \times 23400[/tex] =$5850
Step 7:
Find amount spent on other expenses by totaling all expenditures and subtracting from the annual income.
Annual Income = F + H + C + S + T + E
Amount spent on other expenses, E = 23400 - (5850 + 4680 + 2340 + 2600 + 5850)
E = 23400 - 21320
E = $2080
Find the slope of the line below
Answer:
(5,1) (8,5)
(5-1)/(8-5)= 4/3 is the slope
Which expression is equivalent to the following complex fraction?
2 minus StartFraction 1 Over y EndFraction divided by 3 + StartFraction 1 Over y EndFraction
StartFraction 3 y + 1 Over 2 y minus 1 EndFraction
StartFraction (2 y minus 1) (3 y + 1) Over y squared EndFraction
StartFraction y squared Over (2 y minus 1) (3 y + 1) EndFraction
StartFraction 2 y minus 1 Over 3 y + 1 EndFraction
i hope this will help :)
Answer:
2y-1/ 3y+1
Step-by-step explanation:
can someone please help been trying to figure this out for 2 days -.-
Answer:
PC=40 units
Step-by-step explanation:
we know that
The circumcenter is the center of the triangle's circumcircle (the circle that passes through all three of the triangle's vertices)
That means
PC=RC=QC----> is the radius of the circumcircle
step 1
Find the value of x
equate PC and RC
[tex]3x+7=5x-15[/tex]
solve for x
[tex]5x-3x=7+15\\2x=22\\x=11[/tex]
Verify
substitute the value of x
[tex]PC=3x+7=3(11)+7=40\ units[/tex]
[tex]RC=5x-15=5(11)-15=40\ units[/tex]
[tex]QC=51-x=51-11=40\ units[/tex]
so
[tex]PC=RC=QC[/tex] ----> is ok
Lee earns $1,075 each month. How much does he earns in 6 months?
Answer:
6450
Step-by-step explanation:
1075*6=6450
Answer:
$6450.00
Step-by-step explanation:
1075 x 6 = 6450
add the .00 because the unit is dollars
Rajeev walked 7/8 of a mile in 1/4 of an hour. What was the speed in miles per hour?
Answer:
Rajeev walked at 3.5 miles per hour of speed
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Distance Rajeev walked = 7/8 of a mile = 0.875 miles
Time of walking = 1/4 of an hour = 15 minutes
2. What was the speed in miles per hour?
Let's use the Direct Rule of Three for answering this question, as follows:
Distance in miles Time in minutes
0.875 15
x 60
*************************************************
15x = 0.875 * 60
15x = 52.5
x = 52.5/15
x = 3.5
Rajeev walked at 3.5 miles per hour of speed
The system of equations is solved using the linear combination method.
3x+4y=8 = -2(3x+4y=8) — -x-By--16
3x +24y - 12 (3x +24y= 12) ► x+8y=4
00
What does 0 = -12 mean regarding the solution to the system?
There are no solutions to the system because the equations represent parallel lines.
There are no solutions to the system because the equations represent the same line.
There are infinitely many solutions to the system because the equations represent parallel lines.
There are infinitely many solutions to the system because the equations represent the same line.
1
Answer:
There are no solutions to the system because the equations represent parallel lines.
Step-by-step explanation:
The given system is solved using the linear combination method.
By solving we had the result 0=-12.
We need to interpret this result in terms number of solutions.
Since 0 is never equal to -12, it means the system has no solution.
This means that the lines do not intersect
r(x)=2[tex]\sqrt{x}[/tex] s(x)=[tex]\sqrt{x} \\[/tex]
Step-by-step explanation:
We have,
[tex]r(x)=2\sqrt{x}[/tex] and [tex]s(x)=\sqrt{x}[/tex]
and [tex](rs)(4)=8[/tex]
To find, the value of [tex](\dfrac{r}{s})(3) =?[/tex]
∴ [tex]r(x)s(x)=2\sqrt{x} \sqrt{x}[/tex]
[tex](rs)(x)=2x[/tex]
Also,
[tex](\dfrac{r}{s})(x) =\dfrac{2\sqrt{x} }{\sqrt{x} }[/tex]
[tex]=2[/tex]
∴ The value of [tex](\dfrac{r}{s})(3)[/tex] = 2
Thus, the value of [tex](\dfrac{r}{s})(3)[/tex] is equal to 2.
You refer:
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A pond initially contains 1000000 gal of water and unknown amount of an undesirable chemical. water containing 0.01 g of his chemical per gallon flows into the pond at a rate of 300 gal/h.the mixture flows out at the same rate ,so the amount of water in the pond remains constant .Assume that the chemical is uniformly distributed throughout the pond .How much of the chemical will be in the pond after a very long time ?
Final answer:
To calculate the amount of chemical in the pond after a very long time, multiply the rate at which the chemical flows in per hour by the number of hours that have passed.
Explanation:
To find out how much of the chemical will be in the pond after a very long time, we can first calculate the amount of chemical that flows into the pond per hour. Since 0.01 g of chemical flows in per gallon, and the rate of flow is 300 gallons per hour, the amount of chemical added per hour is 0.01 g/gal * 300 gal/hr = 3 g/hr.
Since the amount of water in the pond remains constant, the concentration of the chemical will also remain constant. Therefore, after a very long time, the amount of chemical in the pond will be the amount added per hour multiplied by the number of hours that have passed. So, if time is represented by 't', then the amount of chemical in the pond after a very long time is given by 3 g/hr * t.