Mathematics High School
Answers
Answer 1
Answer:
Step-by-step explanation:
15x - 10 = 10 + 6 + 2x
15x - 10 = 16 + 2x
Bringing like terms on one side
15x - 2x = 16 + 10
13x = 26
x = 26/13
x = 2
Answer 2
The value of x in the equation is 2.
Option C is the correct answer.
What is an equation?
An equation is a mathematical statement that shows that two expressions are equal.
It consists of variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponents, and roots. Equations are used to solve problems and find unknown values.
We have,
We are given the equation 2.5(6x - 4) = 10 + 4(1.5 + 0.5x) and we need to find the value of x that satisfies this equation.
First, we can simplify both sides of the equation by using the distributive property of multiplication.
This gives us:
15x - 10 = 10 + 6 + 2x
Next, we can combine like terms on both sides of the equation. Specifically, we can combine the constants on the right-hand side:
15x - 10 = 16 + 2x
Now, we want to isolate the term with x on one side of the equation.
We can do this by subtracting 2x from both sides of the equation:
13x - 10 = 16
Finally, we can solve for x by adding 10 to both sides of the equation and then dividing both sides by 13:
13x = 26
x = 2
Therefore,
The value of x in the equation is 2.
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Related Questions
Which shows the difference (p ^ 2 + 6p + 2)/(4p ^ 2) - (10p ^ 2)/(4p ^ 2) ?
Answers
Answer:
-9p²+6p+2/4p²
Step-by-step explanation:
Given the expression
(p ^ 2 + 6p + 2)/(4p ^ 2) - (10p ^ 2)/(4p ^ 2)
Find the LCM
The LCM = 4p²
[p²+6p+2 - (10p²)]/4p²
Expand
p²-10p²+6p+2/4p²
-9p²+6p+2/4p²
hence the required expression is -9p²+6p+2/4p²
7. Calculate Rock A contains
10% quartz and 45% calcite.
The rest of the rock is mica.
What percentage of the rock
is mica?
Answers
Answer:
45% of the rock is mica
Step-by-step
10% + 45% = 55%. 100% - 55% = 45%
distributive property to find (7x-3)(4x+6)
Answers
Answer:
2
8
2
+
3
−
1
8
Step-by-step explanation:
i don't know why its upright
which of the following represents a function of protein within a organism ?
A.storing genetic information
B.storing energy
C.generating heat
D.fighting infection
Answers
Answer:
A
Step-by-step explanation: ITS RIGHTTTTTTTTTTTTTTTTT
whats 5x=2x+9 i need this asap
Answers
Answer:
How to solve your question
Subtract
22x2x
from both sides of the equation5=2+95−2=2+9−22
Simplify
Combine like terms
3=93
Divide both sides of the equation by the same term
3=933=934
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=3
Solution
=3
Quick check 3
Find slope
Answers
Answer:
I believe its C.
Step-by-step explanation:
Slope is always y over x. Since the numbers are positive, i believe its C
Find a ratio for the tangent of 32
Answers
Answer:tan c
Step-by-step explanation:
Can I have some please
Answers
Answer:
A:x=7.5 or 7 and 1/2
b:x=1
Step-by-step explanation:
The areas of the squares adjacent to two sides of a right triangle are shown below.
? units?
35 units
50 units
What is the area of the square adjacent to the third side of the triangle?
Answers
Answer:
85
Step-by-step explanation:
All you do is add 35 units and 50 units together.
Area of the square adjacent to the third side of the triangle is 85 units square
What is Pythagoras theorem?
Pythagoras theorem states that a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.
Given that areas of the squares adjacent to two sides of a right triangle are :
35 sq units
50 sq units
To determine the area of the square adjacent to the third side of the triangle
According to Pythagoras theorem,
Hypotenuse² = Base² + Perpendicular²
As figure is missing assuming given sides are perpendicular sides
Then Area of the square adjacent to the third side of the triangle = 35 + 50
= 85 units square
Now, assuming 50 sq unit is an area on hypotenuse
Then Area of the square adjacent to the third side of the triangle = 35 - 50
= 15 units square
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Understanding Transversals
Use the diagram to complete the statements
Angles 1 and 5 are supplementary because they
are
angles
3
2
Angles 4 and 6 are
are
because they
4
S
angles
7
6
8
Answers
Answer:
8
Step-by-step explanation:
7 and 8 are the angles so we need to find the decimal in the problem
Tory read her book and rate of 4/5 of a chapter her 2/3 of an hour. How many chapters can she read in one hour
Answers
Answer: She can read 1.2 chapters of her book in one hour.
Step-by-step explanation:
When we have a relation of: "doing something" in a given "amount of time"
The rate at which you can do that activity per unit of time is:
R = (how much you did)/(time it took)
In this case, we know that
"Tory reads 4/5 of a chapter in 2/3 of an hour"
Then the rate, in this case, could be calculated as:
R = (4/5 chapters)/(2/3 hour) = 1.2 chapter per hour.
This means she can read 1.2 chapters of her book in one hour.
PLEASE SHOW WORK ILL GIVE BRAINLIEST DUE TODAY!!!
14 + 18 ÷ 2 x 18 – 7
15 x 10 + 12 ÷ 3 + 9
8 x 4 + 9 – 9 + 18
2 - 1 + 5 x 4 x 11
60 – 9 x 8 ÷ 8 x 6
(10 ÷ 5)3 + 100 – 9 x 11
3 x 8 x 2 – 42 + 5
14 ÷ 2 -1 + 3
Answers
Answer:
1.) 169
2.) 63
3.) 50
4.) 221
5.) 6
6.) 501
7.)11
8.) 9
Step-by-step explanation:
sorry i dont have time for the explanation. :( i hope i helped you still
In a lab experiment, 5300 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 10 hours. How many bacteria would there be after 12 hours,to the nearest whole number?
Answers
Answer:
12,720
Step-by-step explanation:
5300 times 2.4 = 12,720
Find the solution to the system by graphing
Answers
After graphing the lines, you can see that the solution is (4, -1)
HELP PLS PLS PLS PLS
Answers
Answer:
7x - x
Step-by-step explanation:
i think so oof oof oof oof oof
The answer is 7+x*x
Gl
7.6 cm
Diagram NOT
accurately drawn
A circle has a radius of 7.6 cm.
Work out the area of the circle.
Give your answer correct to 3 significant figures.
Answers
Answer:
181cm²
Step-by-step explanation:
Given
Radius of a circle = 7.6cm
Area of the circle = \pi r²
Substitute
Area of the circle = 3.14(7.6)²
Area of the circle = 3.14(57.76)
Area of the circle = 181.3664cm²
Area of the circle to 3sf is 181cm²
A satellite orbits in an elliptical path such that the Earth's center is one of the foci of the ellipse. The distance from the center of the orbit to the Earth's center is 4,100 miles. The foci are halfway between the center and the major axis vertices. Which equation can be used to model the path of this satellite's orbit?
Answers
Answer:
[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]
Step-by-step explanation:
The equation of the ellipse with centre at origin and major axis along the x-axis is:
[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]
Where 2a is the length of the major axis and 2b is the length of the minor axis. The following equation shows the relationship between the foci (c), major axis and minor axis:
a² = c² + b²
Since the earth center is one of the foci of the ellipse with distance from the center of the orbit to the Earth's center is 4,100 miles. Therefore the foci is at (4100, 0).
Hence c = 4100
Also, The foci are halfway between the center and the major axis vertices. Therefore the distance between the center and the major axis vertices (a) is twice the distance from the center of the orbit to the Earth's center.
a = 2c = 2(4100) = 8200 miles
We can get the distance from the center to the minor axis vertices (b), using:
a² = c² + b²
8200² = 4100² + b²
b² = 8200² - 4100²
b² = 50430000
b=√50430000
b = 7101.4 miles
The ellipse equation is:
[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]
Answer:
[tex]\frac{x^{2} }{67,240,000}+\frac{y^{2} }{50,430,000} =1[/tex]
Step-by-step explanation:
A chef uses 1/2 cup of tomatoes for every 1/8 cup of onions to make salsa. How many cups of onions will the chef need for 1 cup of tomatoes? Enter the answer as a decimal.
Answers
Answer:
0.25cups
Step-by-step explanation:
if it is 1 cup then we are doubling the amount of onions so
1/8 x 2= 1/4= 0.25cups
PLZ HELP!!!! WILL GIVE BRAINLIEST IF CORRECT! The social studies teacher wants to know whether the students in the entire school prefer a model United Nations activity or a student government activity. The teacher draws a random sample from the following groups:
All teachers in the school
All boys in each grade
All students in each grade
All students in the social studies club
Which group best represents the population he should take a random sample from to get the best results for his survey? (5 points)
Question 1 options:
1)
All teachers in the school
2)
All boys in each grade
3)
All students in each grade
4)
All students in the social studies club
Answers
3 is the answer
you're welcome
Step-by-step explanation:
4 is the answer since the question asks if the student would prefer so to get a better opinion you'd have to ask ever student in all grade
Use the triangle to find the missing angle. Round to the tenths if necessary.
Answers
Answer:
Step-by-step explanation:
69
Can someone please helpppppppp
Answers
Answer:
first one
Step-by-step explanation:
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Dante buys his lunch every day at school. After 15 days, Dante has spent $37.50 on school
lunches. At this rate, how much did Dante spend on school lunches after 5 days?
Answers
Answer:
12.5
Step-by-step explanation:
37.50÷15=2.5
2.5×5=12.5
Answer: $12.50
Step-by-step explanation:
You have to divide 37.5 by 15 which is 2.5 then multiply that by 5 which is 12.5.
Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x. log2x^2
Answers
Answer:
㏒(2x²) = ㏒(2) + 2㏒(x)
Step-by-step explanation:
As given, ㏒(2x²)
As we know that ㏒(MN) = ㏒(M) + ㏒(N)
⇒㏒(2x²) = ㏒(2) + ㏒(x²)
As we know that ㏒(xⁿ) = n㏒(x)
⇒㏒(2x²) = ㏒(2) + 2㏒(x)
∴ we get
㏒(2x²) = ㏒(2) + 2㏒(x)
Please someone help me
Answers
Answer: C
Explanation:
0.15-> 15%
0.25-> 25%
15%+25%=40%
Solve each equation.
1) -20 = -4x - 6x
Answers
Answer:
X= 2
Why
-20=-4x-6x
-20=-10x
-20/x=-10x/x
2=x
Answer:
i love algebra anyways
The ans is in the picture and the stops how i got it
(hope that helps can i plz have brainlist it will make my day :D hehe)
Step-by-step explanation:
In the following figure, the value of x is...
Answers
Answer:
8.3
Step-by-step explanation:
AA'B'C' is a reflection of AABC. Which best describes the reflection?
Answers
Answer:
A reflection over the line y = 3.
Step-by-step explanation:
You will draw a straight vertical line on 3 and then count the spaces. If you have equal space on both sides then your answer is right.
HELLLLLPPPPPPPPPPPPPPPp ASPAPppp plzzz
Answers
Step-by-step explanation:
2+b《3b.
hope u got it....
Answer:
2+b<3b
Step-by-step explanation:
sum means addition. so the sum of b and 2 would mean 2+b. triple the number b literally means b times 3. so, that is the answer.
What is the answer to this question it is urgent
Answers
the answer is D scnagntwhwth
A
Use the drop-down menus to identify the parts of the
coordinate plane
Line A is the
В
Region BIS
Point C is the originy
Line D is the
Answers
Answer:
Line A is the: ✔ y-axis
Region B is: ✔ a quadrant
Point C is the: ✔origin
Line D is the: ✔ x-axis
Step-by-step explanation:
Did it on Edgen
For the given coordinate plane the letters A, B, C and D represent the y-axis, first quadrant, origin and x-axis respectively.
What is a coordinate plane?
A coordinate plane can be defined as the surface formed by two perpendicular lines which intersect each other. The vertical and horizontal lines are known as y and x axis respectively.
The intersection of these lines is known as the origin.
The diagram of the coordinate plane can be analysed as,
(a) Line A is the vertical perpendicular line.
It can be called as y-axis.
(b) Region B lies in the part of the coordinate plane where x and y coordinates are positive.
It is known as the first quadrant.
(c) Point C lies at the intersection of two lines perpendicular to each other.
It can be said the origin.
(d) Line D is the horizontal line.
It can be called as x-axis.
Hence, the given letters A, B, C and D represent the y-axis, first quadrant, origin and x-axis respectively.
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The missing diagram is attached here.