Answer:
m=2
Step-by-step explanation:
Answer:
[tex]m=2[/tex]
Step-by-step explanation:
[tex]-7+4m+10=15-2m[/tex]
Isolate the variable m. Combine like terms (-7+10):
[tex]3+4m=15-2m[/tex]
Subtract 3 from both sides (inverse operations):
[tex]3-3+4m=15-3-2m\\\\4m=12-2m[/tex]
Add 2m to both sides (inverse operations):
[tex]4m+2m=12-2m+2m\\\\6m=12[/tex]
Divide both sides by 6 to isolate m (inverse operations):
[tex]\frac{6m}{6} =\frac{12}{6} \\\\m=2[/tex]
Since this cannot be further simplified, m is equal to 2.
:Done
Scott bought three bags of candy with 75 pieces in each one. He plans to divide all the candy evenly among seven friends. How many pieces of candy will Scott have left for himself?
Answer:
he will have 28 pieces
Step-by-step explanation:
75*3=250
250/8=28
How do you find slope? like...what's the equation? Cause nothing in my math class makes sense rn and finding the slope of things is the reason why
Jasmine bought 6.4 pounds of chewy candy from the local confectionary store. If she gave 2.06 pounds of the candy to her little brother Sam, how many pounds did Jasmine have left for herself?
A.
3.8 pounds
B.
4.34 pounds
C.
3.98 pounds
D.
4.3 pounds
Answer:
4.34 lbs
Step-by-step explanation:
6.4-2.06= 4.34
You have $22 to spend on four raffle tickets. After buying them you had $6. How much did each raffle ticket cost?
Answer:
$4 each
Step-by-step explanation:
Answer:
each ticket cos $4
Step-by-step explanation:
because is you multiply 4 × 6 is 16
and 22-16=6
for each sequence find the first 4 terms and 10th term 2n squared
Answer:
35 your welcome have a day good
Step-by-step explanation:
a cargo ship traveled 150 nautical miles in 6 hours at a constant speed.
How far did the cargo ship travel in 1 hour??
Answer:
25 miles per hour
Step-by-step explanation:
divide 150 by 6 to find the unit rate, which is 25 miles per hour.
Which is a property of an angle?
Answer:
I believe that it is the last answer. have a great day!
Suppose cot(theta) = 5/12, where pi < theta < 3pi/2. What is sin(theta)?
A. -12/13
B. -5/13
C. 5/12
D. 12/13
Answer:
- 12 /13
Step-by-step explanation:
Given that:
Cot(θ) = 5 /12 ;
Recall ; cot θ = 1 / tan θ ; tan θ = sin θ / cos θ
Hence ;
tan θ = 1 / cot θ
tan θ = 1 ÷ (5 / 12)
tan θ = 1 * 12 /5 = 12/5
Tan θ = opposite / Adjacent = 12 /5
Sin θ = opposite / hypotenus
Hypotenus = √(opposite² + adjacent²)
Hypotenus = √12² + 5²
Hypotenus = √(144 + 25)
Hypotenus = √169
Hypotenus = 13
Hence,
Sin θ = opposite / hypotenus = 12 / 13
pi < theta < 3pi/2 lies in the 3rd quadrant ; SinΘ will be negative ;
Sin θ = - 12 /13
Answer:
A
Step-by-step explanation:
Ed2021
what is the density of 9 cm³ gold cube with 450 g in a mass?
Answer:
Answer is 50g/cm^3
Step-by-step explanation:
soln,
Volume of the gold cube = 9 cm^3
Mass of the gold cube = 450 g
now,
density= mass/volume
=450 / 9
=50 g/cm^3
{Therefore, the density of the gold cube is 50 g/cm^3.}
Type the correct answer in the box. If necessary, use / for the fraction bar and simplify the fraction. cos(75°)cos(15°) =
Answer:
1/4
Step-by-step explanation:
If you type cos(75)cos(15) into a scientific calculator, the answer comes out as 1/4.
The value of the trigonometric expression cos(75)cos(15) is 1/4 after applying the trigonometric identity.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have a trigonometric expression:
= cos(75°)cos(15°)
As we know the trigonometric identity:
cos(a)cos(b) = (1/2)[cos(a + b) + cos(a - b)]
a = 75
b = 15
Plug the above values in the trigonometric identity:
cos(75)cos(15) = (1/2)[cos(75 + 15) + cos(75 - 15)]
cos(75)cos(15) = (1/2)[cos(90) + cos(60)]
The trigonometric ratio is the ratio of the pair of a right-angled triangle.
The value of cos90 = 0
cos60 = 1/2
cos(75)cos(15) = (1/2)[0 + 1/2]
cos(75)cos(15) = 1/4
Thus, the value of the trigonometric expression cos(75)cos(15) is 1/4 after applying the trigonometric identity.
Learn more about trigonometry here:
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is y=x/4 a proportional relationship
Answer:
yes
Step-by-step explanation:
The function f(x) = x/4 represents a proportional relationship.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. A straight line represents a proportional relationship. Mathematically -
y = mx + b
(y - b)/x = m [m is constant]
or
y = mx
m = y/x [m is constant]
Given is the following function -
y = x/4
We have -
f(x) = x/4
Now, we know a straight line represents a proportional relationship. The general form of equation representing the proportional relationship is -
y = mx
where - [m] is constant
y = x/4
y = (1/4)x
On comparing, we get -
m = 1/4
Hence, the function f(x) = x/4 represents a proportional relationship.
Therefore, the function f(x) = x/4 represents a proportional relationship.
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Please please help! Its due soon!! Ill mark brainliest!!
I need side b, using tangent!! Thank you!!
Answer:
tan 68 degrees = b/60
60 * tan 68 degrees = b
b = 148.5 in tenths, 149 as a whole number, and 148.51 in hundredths
Step-by-step explanation:
Hope it helps!
Answer:
tan 68 degrees = b/60
60 * tan 68 degrees = b
b = 148.5 in tenths, 149 as a whole number, and 148.51 in hundredths
. Step-by-step explanation:
Hope it helps!
(Geometry) Please help! 50 points
Answer:
A) similar; SSS similarity
Step-by-step explanation:
You have to find the proportion by dividing each side to the according side
35/14 = 2.5 - S/D
20/8 = 2.5 - R/E
30/12 = 2.5 - Q/F
Answer:
A B AND C
Step-by-step explanation:
The answers are
abcwhat is the value of 3x-3 when x equals 3
Answer:
Your answer is 6.
Step-by-step explanation:
Substitute the value of the variable into the equation and simplify.
Answer:
6
Step-by-step explanation:
when you substitute 3 in for x you get 3(3) - 3
solve the equation
3(3) = 9
9 - 3 = 6
What is the slope of the line that passes through the points (-4, 4)(−4,4) and (-6, 6) ?(−6,6)? Write your answer in simplest form.
Three cubic feet of seawater weigh 192 pounds.
What is the weight of the seawater in an aquarium that is 4.4 ft long, 2.5 ft wide, and 5.3 ft high?
Answer:
3731.2 pounds
Step-by-step explanation:
Aquarium will hold 4.4 * 2.5 * 5.3 = 58.3 cubic feet of sea water.
For 3 cubic feet of sea water, weight is 192 pounds
For 58.3 cubic feet of sea water,
( 192 * 58.3) / 3 = 11193.6 / 3 = 3731.2 pounds
Select all that apply.
The figures below are not similar because
the corresponding angles are congruent
the corresponding sides are not proportional
the corresponding sides are proportional
they are not the same shape
The two given figures are not similar because they are not the same shape. Option D is correct.
Given that,
A figure of two shapes has been shown, we have to discuss why the two shapes are not similar,
In congruent geometry, the shapes that are so identical. can be superimposed to themselves.
Here,
The two shapes are not similar because one is square and the other is a rectangle, There is why both are not the same shape, because they are cyclic and regular shapes their corresponding angles are congruent.
Thus, the two given figures are not similar because they are not the same shape. Option D is correct.
Learn more about congruent geometry here.
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Write a function g whose graph represents a reflection in the x-axis of the graph of f(x)=1/2x−3.
write the equation in slope intercept form that represents the graph below.
Answer:
i didnt have this yet
Step-by-step explanation:
Answer:
y = 3/2x + 2
Step-by-step explanation:
let eqn be y = mx + c
m = (5-2)/(2-0) = 3/2
sub (0, 2):
2 = 3/2 (0) + c
c = 2
therefore, the equation is y = 3/2x + 2
Sarge completed 1/10 of his report in 4/5 of an hour. At this rate, how much of the report will Sarge complete in 1 hour?
Answer:
1/8
Step-by-step explanation:
Rate is the change of a quantity per unit time
We are told Sarge completed 1/10 of his report in 4/5 of an hour.
We are going to equate the rate at 4/5hour to that of 1hour to get how much of the report Sarge will complete in 1 hour
(1/10)/x=(4/5)/1
0.10/x=0.8
Make x subject of the formula we have
X=1/8
Hence 1/8 of the report needed to be completed
I've worked out the problem multiple times but I don't get any of the answer choices. Can someone work it and tell me what you get? The answer I have selected is closest to what I'm getting.
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[tex] \frac{ {a}^{3} - 27 }{ {a}^{2} - 9 } \div \frac{ {a}^{2} + 3a + 9 }{a + 3} = \\ [/tex]
[tex] \frac{ {a}^{3} - 27 }{ {a}^{2} - 9 } \times \frac{a + 3}{ {a}^{2} + 3a + 9 } = \\ [/tex]
[tex] \frac{(a - 3)( {a}^{2} + 3a + 9) }{(a - 3)(a + 3)} \times \frac{a + 3}{ {a}^{2} + 3a + 9 } = \\ [/tex]
[tex] \frac{(a - 3)(a + 3)( {a}^{2} + 3a + 9) }{(a - 3)(a + 3)( {a}^{2} + 3a + 9) } = \\ [/tex]
[tex]1[/tex]
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The correct answer is the first option .
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Two students are taking a math test. After 5 minutes, one student is 13 done and the other is 28 done. How much ahead of the second student is the first
Given :
Two students are taking a maths test.
After 5 minutes, one student is 13 done and the other is 28 done.
To Find :
How much ahead of the second student is the first.
Solution :
Number of questions second student is ahead is :
[tex]n = 28 - 13\\\\n = 15[/tex]
Therefore, second student is ahead by first by 15 questions.
Hence, this is the required solution.
help
Use the Pythagorean theorem to write an equation for 16^2+12^2=c^2
Answer:
C=20
Step-by-step explanation:
Pythagorean theorem is a^2 + b^2=c^2. So, a=16, and b=12. 16 squared is 256. 12 squared is 144. 256+144=400. 400=c^2. So, the square root of 400=c. and that is 20.
Work out, giving your answer in its simplest form:
5/
14
x
7/
30
Help ASAP plz
Jacob bought 5 boxes of pencils for his drawing class. Each box contains 12 pencils. Which point on the graph shows the number of pencils he bought?
Answer:
it would be (5,60)
Step-by-step explanation:
he bought 5 boxes
each box has 12 pencils
5*12=60
Misaki cut some wood for a bookcase she is building.She needs to find how many 13 ft boards she can make from a 5 ft board.Explain how to model with fraction bars to solve the problem.
Complete question :
Misaki cut some wood for a bookcase she is building.She needs to find how many 1/3 ft boards she can make from a 5 ft board.Explain how to model with fraction bars to solve the problem
Answer:
15
Step-by-step explanation:
Total Size of board = 5 feets
Size of board to be made = 1/3 feets
Number of 1/3 feets board to be made from 5 feets board :
Total size of board / size of board to be made
5 feets ÷ 1/3 feets
5 feets * 3 / 1 feets
= 15
Hence, number of 1/3 feets board that can be made from 5 feets board = 15
Morgan is in the business of manufacturing phones. She pays a cost of $200
per phone produced for materials and labor and also must pay a daily fixed
cost of $400 to rent the building and equipment. Make a table of values and
then write an equation for C, in terms of p, representing total cost, in dollars,
of producing p phones in a given day.
Answer:
C = 200p + 400
Step-by-step explanation:
Because C is the cost of a given day, 400 acts as a y-intercept.
400 is the initial fee paid then 200 per each phone manifactured, meaning that 200 is the slope.
What is the trademark of a linear equation? WILL GIVE BRAINLIEST. Will report if answer is absurd
Answer: They can be represented in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
Step-by-step explanation:
An airplane flying at an altitude of 2600 m is approaching an airport run away located 56 km away (from the airplane to the run away). Calculate the airplane’s angle of decent. (Hint: the angle of decent is the same as the angle of depression.)
Given :
An airplane flying at an altitude of 2600 m is approaching an airport run away located 56 km away.
To Find :
The airplane’s angle of decent.
Solution :
Height of plane, h = 2600 m.
Horizontal distance of airplane from vertices is, d = 56 km = 56000 m.
Let, angle of depression is Ф.
So,
[tex]tan \ \phi = \dfrac{56000}{2600}\\\\tan \ \phi = 21.54\\\\\phi = 87.34^o[/tex]
Therefore, the angle of decent is 87.34°.
Hence, this is the required solution.
Which two points on the number line are opposites? A number line going from negative 2 to positive 2 in increments of 1. There are 4 equal spaces between each number. Point A is 1 mark to the left of negative 1. Point B is half-way between negative 1 and 0. Point C is half-way between 0 and 1. Point D is half-way between 1 and 2. points A and B points B and C points C and D points A and D
Answer:
Points B and C are opposite
Step-by-step explanation:
0 on the number line marks the center of the number line. To the right on the number line are positive integers and to the left from zero are negative integers.
Points B and C are opposite because they are each half way between 0 and 1 on the right and 0 and -1 on the left
Answer:
b and c are opposites
Step-by-step explanation:
other guy was right