Answer:
[tex]\boxed {x = -\frac{1}{7}}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]6(4x + 5) = 3(x + 8) + 3[/tex]
-Use Distributive Property:
[tex]6(4x + 5) = 3(x + 8) + 3[/tex]
[tex]24x + 30 = 3x + 24 + 3[/tex]
-Combine like terms:
[tex]24x + 30 = 3x + 24 + 3[/tex]
[tex]24x + 30 = 3x + 27[/tex]
-Take [tex]3x[/tex] and subtract it from [tex]24x[/tex]:
[tex]24x + 30 -3x = 3x - 3x + 27[/tex]
[tex]21x + 30 = 27[/tex]
-Subtract both sides by [tex]30[/tex]:
[tex]21x + 30 - 30 = 27 - 30[/tex]
[tex]21x = -3[/tex]
-Divide both sides by [tex]21[/tex]:
[tex]\frac{21x}{21} = \frac{-3}{21}[/tex]
[tex]x = \frac{-3}{21}[/tex]
-Reduce the fraction to the lowest term by extracting and canceling out [tex]3[/tex]:
[tex]x = \frac{-3\div3}{21 \div 3}[/tex]
[tex]\boxed {x = -\frac{1}{7}}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]-\frac{1}{7}[/tex].
If 3 cot theta= 2, find the value of 2sin theta -3cos theta /2sin theta +3cos theta
Answer:
0
Step-by-step explanation:
Using the trigonometric identity
cotx = [tex]\frac{cosx}{sinx}[/tex]
Given
3cotθ = 2 , then
3[tex]\frac{coso}{sino}[/tex] = 2 ( multiply both sides by sinθ )
3cosθ = 2sinθ ( subtract 3cosθ from both sides )
2sinθ - 3cosθ = 0
Thus
[tex]\frac{2sin0-3cos0}{2sin0+3cos0}[/tex]
= [tex]\frac{0}{2sin0+3cos0}[/tex]
= 0
Factor 54+27 using the GCF.
The factored expression is ?
Answer:
27(2+1)
Step-by-step explanation:
Its 27(2+1) because 27 is the GCF and it goes into 54 and 27 then you divide 54/27 and then 27/27, at that point you have the numbers 2 and 1 then you just put them into the equeation. And BOOM just like that your finished.
6x - 15 = 3 (2x-6) + 3
Answer:
hope this helps :)
Step-by-step explanation:
write a situation to represent the equation y=0.5x
Answer:
Johnny earns 50 cents each hour, x.
Step-by-step explanation:
Answer:
Ariana wanted to buy cashews at the grocery store. Cashews are $0.5 per ounce. If Ariana has $10 how many ounces of cashews can she buy
While on spring break, Kayla decided she wanted to go parasailing She was held at a constant angle above the water by a large tow rope attached to the back of the boat. The length of the tow rope is 240 meters. If the angle of the rope keeps Kayla at a horizontal distance of 181 meters away from the boat, how high above the boat is Kayla?
Answer:
Option (4)
Step-by-step explanation:
From the figure attached,
Length of the rope holding Kayla to the boat = 240 meters
Horizontal distance of Kayla from the boat = x = 181 meters
Let the distance of Kayla above the boat = y meters
Triangle formed is a right triangle. Therefore, by applying Pythagoras theorem in the given triangle,
x² + y² = (240)²
(181)² + y² = (240)²
y = [tex]\sqrt{57600-32761}[/tex]
= [tex]\sqrt{24839}[/tex]
= 157.6 meters
Therefore, vertical distance between Kayla and boat is 157.6 meters.
Option (4) will be the answer.
10
Southside High School has a total of 1824 students. There are 84 fewer girls at Southside than boys.
Write an expression you can use to find out how many boys, b, there are at Southside.
How many boys are students at Southside High?
How many girls are students at Southside High?
Answer:
The expression you can use to find out how many boys is b + (b - 84) = 1824
There are 954 boys at Southside High School
There are 870 girls at Southside High School
Step-by-step explanation:
Assume that the number of boys in the Southside High School is b
∵ There are b boys in the Southside High School
∵ The number of girls is 84 fewer than boys
→ Subtract 84 from b to find the number of girls
∴ The number of girls in the Southside High School is (b - 84)
∵ Southside High School has a total of 1824 students
→ That means the sum of the numbers of the boys and the girls is 1824
∴ b + (b - 84) = 1824
∴ The expression you can use to find out how many boys is
b + (b - 84) = 1824
→ Add the like terms in the left side
∴ (b + b) - 84 = 1824
∴ 2b - 84 = 1824
→ Add 84 to both sides
∵ 2b - 84 + 84 = 1824 + 84
∴ 2b = 1908
→ Divide both sides by 2 to find b
∵ [tex]\frac{2b}{2}=\frac{1908}{2}[/tex]
∴ b = 954
∴ There are 954 boys at Southside High School
∵ The number of girls at Southside High School = b -84
→ Substitute b by 954
∴ The number of girls at Southside High School = 954 - 84
∴ The number of girls at Southside High School = 870
∴ There are 870 girls at Southside High School
Which of the equations is graphed below?
A.) y=-4x+3
B.) y=-4x-3
C.) y=4x-3
D.) y=4x+3
Answer:
4x - 3 = y
Step-by-step explanation:
Here's why: 4 is your slope and -3 is your y intercept so the equation would look something like 4x - 3 = y.
Hope I helped
Determine if each pair of ratios or rates are equivalent. Explain your reasoning:
48 words typed in 3 minutes || 75 words typed in 5 minutes
Answer:No, because when we divide 48/3=16 so 16 words are typed in 1 minute while when you divide 75/5=15 so 15 words are typed in 1 minute and 16 is greater than 15 so their not equivalent
Step-by-step explanation:
whixh equation shows the negative one property of division
Answer:#3
Step-by-step explanation:
Ur welcome
Solve: −3(k − 2) = −2
Answer:8/3
Step-by-step explanation:divide both sides by -3 2 negative make a positive add 2 to both sides simplify 2/3 +2 to 8/3
Answer:
The answer is
[tex] \huge \boxed{k = \frac{8}{3} } \\ [/tex]
Step-by-step explanation:
[tex]−3(k − 2) = −2 [/tex]
Expand the terms in the bracket
That's
[tex] - 3k + 6 = - 2[/tex]
Subtract 6 from both sides of the equation
We have
[tex] - 3k + 6 - 6 = - 2 - 6 \\ - 3k = - 8[/tex]
Divide both sides by - 3
[tex] \frac{ - 3k}{ - 3} = \frac{ - 8}{ - 3} \\ [/tex]
We have the final answer as
[tex]k = \frac{8}{3} \\ [/tex]
Hope this helps you
ice cream store marks up price by 16% how much of original price was 1.25
Answer:
0.128
Step-by-step explanation:
HELP WIL GIVE BRAINLEIST
Answer:
Sorry and where is your questions..
can yall help me with these 4
Which input in this table is incorrect?
Answer:
I would say its D. 9.00
Step-by-step explanation:
Which of the following could be a factor of the following Trinomial.
3 points
x?+ 12x +27
Answer:
[tex](x + 9)[/tex]
Step-by-step explanation:
[tex] {x}^{2} + 12x + 27[/tex]
[tex](x {}^{2} + 3x) + (9x + 27)[/tex]
[tex]x(x + 3) + 9(x + 3)[/tex]
[tex](x + 3)(x + 9)[/tex]
[tex] \red { \orange {\boxed {\boxed{\star Option \: 1 \star}}}}[/tex]
#IfWrongPleaseReport
#StudyTogetherWithMe
#ILoveMath
can u guys help with my one question i have left
Answer:
Weeks in a Year. A normal year has 365 days, which is 52 Weeks and 1 Day. A leap year has 366 days, which is 52 .
Step-by-step explanation:
hope this helps :)
Answer:
I think 6
Step-by-step explanation:
365/12=30.42
30.42/5= 6.08
ILL GIVE BRAINLIST! this is about Determining a scale factor!! the last answer that couldn't fit in the picture is 9| 12_
Answer:
The first one (4cm for height and 3cm for base)
Step-by-step explanation:
the original height is 16cm and base is 12cm
if you multiply them both by 1/4 or 0.25 you get 4 and 3
(16*0.25=4 and 12*0.25=3)
Another way you could do it is to divide 16 and 12 by four and you still get 4 and 3
(16/4=4 and 12/4=3)
Answer:
Is A.
Step-by-step explanation:
The sides of the triangle include numbers 4 and 3 in option A. Mathematically in scale factor form, 16 cm 12 cm divide or multiply evenly into the scale factor of 1/4.
write 7 2/6 as a fraction greater than 1
nice and ez question right?
The shape show that there are 4 squares for every
i would say 6 circles, so the second one.
Answer:
6 circles
Step-by-step explanation:
because yess
Write an equations to describe the linear relationship. A moving company charges $50 flat fee and $55 per hour to move
Answer:
55(x)+50
Step-by-step explanation:
Answer:
Y=55x+50
Step-by-step explanation:
Will hand out brainliest to the best answer! (+100 pts)
Answer:
6
Step-by-step explanation:
If the x is 2 in f(x) the answer should be 6 according to your table.
Answer:
6
Step-by-step explanation:
if the X is to in f(x) answerr will be 6 according to your table
If two-fifths of a certain number is subtracted from twice the number, the result is 4. PLS ANSWER
Answer:
4
Step-by-step explanation:
2x-2/5=4
2x= 4+(2/5)
2x= 4/5+20/5
x=(22/5)/2
x= 22/10 or 11/5
check:
2(11/5)-2/5=(22/5)-(2/5)
=20/5
=4
Answer:
213 answer
Step-by-step explanation:
I hope it help
A bakery sold a total of 500 cupcakes in a day, and 93% of them were vanilla flavored. How many of the cupcakes sold that day were vanilla flavored?
C) A restaurant operator in Accra has found out that during the partial lockdown, if she sells a plate of her food for GH¢20 each, she can sell 300 plates, but for each GH¢5 she raises the price, 10 less plates are sold. What price in GH¢ should she sell the plates to maximize her revenue?
Answer:
Maximum price = GH¢85
Step-by-step explanation:
Let p be the number of times she raises the price as well as the number of times 10 less plates are sold
Revenue, R = number of plates sold * price sold
R = (300 - 10p)(20 + 5p)
R = 6000 + 1500p - 200p - 50p²
R = 6000 + 1300p - 50p²
50p² - 1300p - 6000 = 0
p² - 26p - 120 = 0
finding the axis of symmetry, p = -b/2a
p = -(-26)/2*1
p = 13
Maximum price = 13 * 5 + 20 = GH¢85
Number of plates sold = 300 - 10 * 13 = 170 plates
Maximum revenue = GH¢85 * 170 = GH¢14,450
It costs $2.55 to make a sandwich at the local deli shop. To make a profit, the deli sells it at a price that is 140% of the cost. The sandwich sells for $___. (Make sure to enter the answer as a decimal number only. Do not enter special characters such as the dollar symbol.) Answer for Blank 1:
Answer: $ 3.57
Step-by-step explanation:
Given: Cost for each sandwich at the local deli shop = $2.55
They sell it at selling price = 140% of 2.55
[Replace 'of' by 'x " and '%' by [tex]\dfrac{1}{100}[/tex]]
[tex]=\dfrac{140}{100}\times 2.55\\\\=1.4\times2.55\\\\=\$3.57[/tex]
i.e. Selling price = $ 3.57
Hence, The sandwich sells for $3.57.
Answer:
3.57
Step-by-step explanation:
After Megan walked 5 miles, her activity tracker had counted 9,780 steps. David's activity tracker had counted 11,928 steps after he walked 6 miles. Suppose each person's step covers about the same distance. Who takes more steps to walk 1 mile? How many more steps?
Answer:
The answer is below
Step-by-step explanation:
Meghan covered 5 miles with 9,780 steps. The number of steps per mile = 9780 / 5 = 1956 steps per mile
David covered 6 miles with 9,780 steps. The number of steps per mile = 11928 / 6 = 1988 steps per mile
This means that David covered more steps per mile compare to Meghan. The number of more steps = 1988 - 1956 = 32
Therefore David had 32 more steps per mile
CORRECT ANSWER WILL GET BRAINLIEST AND 20 points
A business is using a catering company for an event. The catering company is offering three different meal options. The equation y = 8.50x + 45.00 can be used to predict
the cost of the meals if x people attend the event. What is the meaning of the slope of the equation?
A
The company charges an initial fee of $8.50.
B
The company charges an initial fee of $45.00.
The cost increases by $8.50 for each person who attends the event.
The cost increases by $45.00 for each person who attends the event.
Answer:
The cost increases by $8.50 for each person who attends the event.
Step-by-step explanation:
The company charges an initial fee of $45.00
The cost increases by $8.50 for each person who attends the event.
The correct options are B and C
As per the given data:
The equation y = 8.50x + 45.00 can be used to predict the cost of the meals if x people attend the event.
By comparing this equation with the slope intercept form y = mx + c
slope(m) = 8.50
We can find out the initial fee charged by the company by substituting
x = 0 {zero people}
y = 8.50(0) + 45.00
y = $45.00
For increase in cost with each person attending the event:
Cost for 2 persons - Cost for 1 person
= 8.50(2) + 45.00 - [8.50(1) + 45.00]
= 8.50(2) - 8.50(1)
= $8.50
This is the slope of the line
Hence, The company charges an initial fee of $45.00 and the cost increases by $8.50 for each person who attends the event.
To learn more on Slope, click:
brainly.com/question/3605446
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How do you describe sequences
Can someone help me please please
Answer:
With? I dont see an image if you attached one
Step-by-step explanation:
How many degrees are in a half of a full turn? another dumb question lol
Answer:
180 degrees is half of a full turn 360 degrees in a full turn
Step-by-step explanation: