Answer:
[tex]\frac{a}{3} =b[/tex]
Step-by-step explanation:
a = 2a - 3b
→ Minus 2a from both sides
-a = -3b
→ Multiply everything by -1
a = 3b
→ Divide both sides by 3
[tex]\frac{a}{3} =b[/tex]
Answer:
b = 2/3a -1/3A
Step-by-step explanation:
A=2a-3b
Subtract 2a from each side
A-2a=2a-2a-3b
A -2a = -3b
Divide each side by -3
A/-3 -2a/-3 = -3b/-3
-A/3 + 2/3a = b
b = 2/3a -1/3A
Find the slope of the line given the following points on the line:
(-6, 4) and 2, 7)
Answer:
3/8
Step-by-step explanation:
Answer:
[tex]\boxed{\sf Slope:3/8}[/tex]
Step-by-step explanation:
To determine the slope of a line given the coordinates of two points on the line, use the slope formula.
[tex]\boxed{\sf \sf{Slope\;(m)}=\frac{y_2-y_1}{x_2-x_1}}[/tex]
x1 and y1 are the coordinates of the first point. The second point's coordinates are x2, y2.
Points: [tex]\sf (-6, 4) \:and \:(2, 7)[/tex]
[tex]\longmapsto\sf \left(x_1,\:y_1\right):\left(-6,\:4\right)[/tex]
[tex]\longmapsto\sf \left(x_2,\:y_2\right)=\left(2,\:7\right)[/tex]
_______________
[tex]\leadsto\sf m=\cfrac{7-4}{2-\left(-6\right)}[/tex]
[tex]\leadsto\sf m=\cfrac{3}{8}[/tex]
_________________________________________
order the values from least to greatest
Answer:
-7.2, -6.3, [5], [-6.3], 8
An engineer is designing a new dam for a river. The retaining wall of the dam will be angled such that the height above the ground of the top at the wall is three times the horizontal distance between where it begins and where it ends at ground level. The outer angled wall will be 100 feet long this relationship is shown in the picture along with the rest of the question.
A: x+y=100
y=3x
B: x^2 + y^2 = 100^2
y= 3x
C: x+y=100
x=3y
D: x^2 + y^2 = 100^2
x=3y
Answer:
B) x² + y² = 100²
y = 3x
Step-by-step explanation:
The pythagorean theorem : a² + b² = c²
c² in this case is 100, and a and b are x and y
The . vertical distance is three times the horizontal, or y = 3x
The correct option is x² + y² = 100², where y = 3x
-Chetan K
PLEASE HELP ME WITH THESE MATH PROBLEMS!! DUE TONIGHT!!
Answer:
a) 20.9ft b)148.5ft c)98.2ft d)50.3
Step-by-step explanation:
for a, b and c you can use SOHCAHTOA
a) sin(8)=height/150 so height=150sin(8)
b)cos(8)=distance/150 rearrange the same way
c)use SOHCAHTOA but with the value you got from a ad the 12 degree angle
d) subtract the value found in c from the value found in a
phân tích đa thức thành nhân tử 8x^2+16xy
what is the point in the middle of a circle called
Answer:
Step-by-step explanation:
Center: The center of a circle is defined as the point in the middle of the circle. The points that make up the curve that is the circle are all equidistant from the center point.
Answer:
Center of the circle.
Step-by-step explanation:
kelly has 47 model cars. Jamal has 58 model cars. Yesterday , jamal traded 8 model cars to kelly for 14 of her cars. How many cars did kelly have before the trade
Answer:
33 cars please give Brainliest
share £165 in the ratio 2:3
Write 456 in expanded notation using powers of 10
Answer:
400+50+6
Step-by-step explanation:
456 means 400+50+6
10) Consider two lines. Line A is given by the function f(x) = 4x − 9, while Line B contains the points (0, 5) and (2, 12). Which statement is true? A) Line A and Line B have the same slope. B) Line A has a greater slope than Line B. C) Line B has a greater slope than Line A. D) Line A slope is less than the slope of Line B.
Answer:
B) Line A has a greater slope than Line B.
Step-by-step explanation:
When looking at [tex]f(x)=4x-9[/tex] is basically the same way of saying [tex]y=4x-9[/tex]
which is in slope-intercept form. Because of that, we know that the slope of line A is 4.
To find the slope of line B we have to use the slope formula
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
[tex]m=\frac{7}{2}[/tex] as a decimal [tex]m=3.5[/tex]
So line A slope = 4 and line B slope = 3.5
Which makes line A slope greater than line B slope
W to the 3rd power over W to the -2 power
Answer:
[tex]w^{5}[/tex], w to the power of 5
Step-by-step explanation:
[tex]\frac{w^3}{w^-2}[/tex]
When dividing indices with the same base number, you can subtract the powers: 3 - (-2) = 5. Therefore the answer is [tex]w^{5}[/tex]
Hope this helps!
Select the correct answer.
The difference of half a number and its reciprocal is represented by this expression.
Which expression also represents the difference?
Answer:
b
Step-by-step explanation:
mark me as brainliest pls
The expression which shows the difference is (n² - 2)/2n, the correct option is B.
What is an Expression?An expression is a mathematical statement which consists of variables, constants and mathematical operators.
The difference of half a number and its reciprocal is represented by this expression.
(n/2) - (1/n)
On solving
(n² - 2)/2n
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Select all of the trips that would take two hours.
a. Drive 60 miles per hour between Raleigh and
Wilmington, which are 120 miles apart
b. Walk 3 miles per hour to school, which is ½ mile
away
c. Take a train going 70 miles per hour from Hershey to
Philadelphia, which are 140 miles apart
Answer:
A and C
Step-by-step explanation:
ive seen this question before
A group of 15 people are ordering pizza each person wants 2 slices and each pizza has 3 slices how many pizzas should they order
Answer:
Step-by-step explanation:
15*2=30
30/2=10
10 pizzas will evenly divide between 15 ppl and give each 2 slices with no extras.
Total number of pizzas will they order will be 10.
What are mathematics operations?
A mathematical operation is a function that converts a set of zero or more input values (also called "b" or "arguments") into a defined output value. The number of operands determines the operation's arity. Most commonly studied operations are binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive and multiplicative inverses.
• Zero-arity operations, or nullary operations, are constants, and mixed products are arity three operations, or ternary operations.
Here, it is given that :
A group of 15 people are ordering pizza each person wants 2 slices and each pizza has 3 slices.
Now, 15 person will eat = 15 x 2 = 30 slices of pizza
To Find the number of pizza divide total slice of pizza people wanted with slice per pizza :
number of pizza = 30/3 = 10 pizza.
Therefore, total number of pizzas will they order will be 10.
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3. After a study was completed at a local college, it was found that 386 in 1,112 students live
with their parents. What percent of the students lives with their parents? Round to the nearest
hundredth of a percent where necessary.
O 3.44%
O 34.71%
49.36%
065.28%
Answer:
34.71%
Step-by-step explanation:
1112-100 percent
386-x percent
x=386*100/1112≈34.71
The percentage of students living with their parents is 34.44%. The correct option is B.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that after a study was completed at a local college, it was found that 386 in 1,112 students live with their parents.
The percentage of the students who live with their parents will be calculated as,
Percentage = ( 386 / 1120 ) x 100
Percentage = 0.3471 x 100
Percentage = 34.71%
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HELP ASAP
Solve for the measure of ∠PMR. Show your work and explain how you got your answer.
Answer:
[tex]gy78093 x^{2} 67[/tex]
Step-by-step explanation:
Evaluate. (4/5)^3this is a fraction, and an exponent, not 4 divided by 5, please get answer in quickly.
Answer:
[tex]\frac{64}{125}[/tex]
Step-by-step explanation:
[tex]\frac{4}{5} ^{3}[/tex]
To solve this you would cube the numerator and then the denominator:
4³ = 645³ = 125The answer is [tex]\frac{64}{125}[/tex]
Hope this helps!
Simplify (5p+1.49)-(2p+6.49)
Thank you!
what is the value of H in the diagram below?
Answer:
the value of h in the diagram is I hope hight
Any help would be appreciated
Answer:
10
Step-by-step explanation:
Bisect the 72° angle to get an exterior angle of 36°.
The sum of the measures of the exterior angles of a polygon, one per vertex, is 360°.
360°/36° = 10
Answer: There are 10 sides.
Petro's family went out to eat. The bill for the food was 36.25. The restaurant tax was 3.37 and Petro left a tip for 5.75. What is the best estimate for how much the meal cost altogether?
Answer:
45.37
Step-by-step explanation:Based on the given conditions, formulate:
5.75
+
36.25
+
3.37
Calculate the sum or difference:
42
+
3.37
Calculate the sum or difference:
45.37
get the result:
45.37
what part of 3 dollars are 25 nickels
Answer:
25 nickles are 5/12ths of a dollar
Step-by-step explanation:
25*5=125, or $1.25. Now we make this a fraction, we get 1.25/3, or 5/12
The 25 nickels are the 5/12 part of the 3 dollars.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We know that 1 nickel = 0.05 dollars.
Then the number of dollars in 25 nickels will be given as,
⇒ 25 x 0.05
⇒ $1.25
Divide the number 1.25 by 3. Then we have
⇒ 1.25 / 3
⇒ 5 / 12
The 25 nickels are the 5/12 part of the 3 dollars.
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how long is the Yangtze river
Answer:
3,915 mi
Step-by-step explanation:
100 IF U GET THIS RIGHT!
Answer:
Eq
● y = mx + c
m = slope
c = intercept
y = 2/9 x + (-2)
slope m=2/9
Select all statements that are true about the triangles.
Figure ABCD with diagonal BC, sides AB and DC are congruent, angle A is congruent to angle D and sides AC and DB are congruent.
Group of answer choices
Triangles ABC and BCD are congruent by the Angle-Side-Angle Triangle Congruence Theorem.
Triangles ABC and DCB are congruent by the Angle-Angle Triangle Congruence Theorem.
Triangles ABC and DCB are congruent by the Side-Side-Side Triangle Congruence Theorem.
Triangles ABC and DCB are congruent by the Side-Angle-Side Triangle Congruence Theorem.
Triangles ABC and BCD are congruent by the Side-Side-Side Triangle Congruence Theorem.
There is not enough information to determine if the triangles are congruent
Answer:
Triangle ABC and BCD are congruent by the side side side triangle congruence theorem
x + 8 less than or equal to 6
Mrs. Collado is buying a
refrigerator that sells for $590.
After a 10% discount is taken,
6% sales tax is added to the
price. A $50 delivery charge is
added on after the tax is computed. What will be the final cost of the refrigerator?
9514 1404 393
Answer:
$612.86
Step-by-step explanation:
The discount multiplies the price by (1 -10%) = 0.90.
The tax multiplies the price by (1 +6%) = 1.06
Then the total price with delivery charge is ...
$590×0.90×1.06 +50 = $612.86
Answer:
612.86
Step-by-step explanation:
10% is 59 590-59=531
562.86 after tax
612.86 after delivery charge
Please Pleaseee help...will make the brainliest
Answer:
A and F.
Explaination:
Of the 345 7th graders, 40% of them
are in band. How many 7 graders
are in band?
So first you find 10% which is 34.5
Then you multiply 10% by 4 to get 40% which is = 138s
Yw
The vertex of a parabola is (-2,6), and its focus is (-5,6).
What is the standard form of the parabola?
Enter your answer by filling in the boxes.
The equation of the parabola is:
(y - 6)² = -12(x +2)
Parabola is the locus of a point such that its distance from a fixed point (called the focus) and a given line (called the directrix) is always the same.
The equation of a parabola is given by:
(y - k)² = 4p(x - h)
Where (h, k) is the vertex, (h + p, k) is the focus
Given the vertex of a parabola is (-2,6), and its focus is (-5,6).
Hence, k = 6, h = -2;
h + p = -5
-2 + p = -5
p = -3
Hence the equation of the parabola is:
(y - 6)² = -12(x +2)
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