a=1, b =18
a=2, b = 9
a = 3 , b = 6
Hello! Essentially you are trying to find a linear function. For example, a linear function is a function that increases or decreases in some type of relationship between each pair consistently. To answer your question, one example could look like this...
Lastbenchstudent basically nailed the linear equation but I could elaborate from his work and answer your question in a different way.
A = 3, B = 18
A = 2, B = 9
A = 1, B = 4.5
To explain my answer, I basically divided B every time A decreased. As A decreased by 1, B decreased by half the amount!
Miguel has 125 more baseball cards than chad. Miguel has 405 baseball cards .how many baseball cards does chad have
chad has 280 baseballs because if miguel has 125 MORE than chad then you have to subtract 125 from 405 to get chads baseball cards
To find out how many baseball cards Chad has, subtract 125 from Miguel's total of 405 baseball cards.
Explanation:To find out how many baseball cards Chad has, we can use the information given in the question. It is stated that Miguel has 125 more baseball cards than Chad and Miguel has a total of 405 baseball cards. So, to find out how many cards Chad has, we subtract 125 from Miguel's total:
Chad's total = Miguel's total - 125
Chad's total = 405 - 125 = 280 baseball cards
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An investor wants to complain that the stock market continues to drop . What might they do to graph shown to try to convince an audience that this is true
But B is not correct
Answer:
C.
Step-by-step explanation:
The first two questions couldn't be correct. C. Is the only logical answer.
Simplify:
(3xy^3)(2x^3y)
(Please show your work)
Answer:
6x^4y^4
Step-by-step explanation:
(3xy^3)(2x^3y)
= (3*2) x^(1+3) y^(3+1)
= 6x^4y^4
Find the solution to the system of equations given below using substitution.
A. x = -1, y = -7
B. x = 7, y = -1
C. x = 7, y = 1
D. x = -1, y = 7
Answer: OPTION D
Step-by-step explanation:
You can apply the SUBSTITUTION method:
- Solve for x from the second equation and substitute it into the first equation.
- Solve for y:
[tex]x-8y=-57\\x=-57+8y[/tex]
[tex]2(-57+8y)+3y=19\\-114+16y+3y=19\\19y=133\\y=7[/tex]
- Substitute y=7 into any of the original equations ans solve for x. Then:
[tex]x-8(7)=-57\\x-56=-57\\x=-57+56\\x=-1[/tex]
The answer is:
D.
[tex]x=-1\\y=7[/tex]
Why?Substitution method for solving system of equations consists in isolate one variable in terms of the other variable.
So, isolating x in terms of y from the second equation, we have:
[tex]x-8y=-57\\x=-57+8y[/tex]
Then, substituting x into the first equation, we have:
[tex]2(-57+8y)+3y=19\\-114+16y+3y=19\\20y=19+114\\19y=133\\y=\frac{133}{19}=7[/tex]
Now, substituting y into the second equation we have:
[tex]x-8(7)=-57\\x-56=-57\\x=-57+56=-1[/tex]
Have a nice day!
What is the solution to this equation? X/2-7=15
Answer:
x = 44Step-by-step explanation:
[tex]\dfrac{x}{2}-7=15\qquad\text{add 7 to both sides}\\\\\dfrac{x}{2}-7+7=15+7\\\\\dfrac{x}{2}=22\qquad\text{multiply both sides by 2}\\\\x=44[/tex]
3 3/4 * 2 1/2 can somebody help me
Answer:
9 3/8
Step-by-step explanation:
You have to turn them both into mixed numbers so:
15/4 x 5/2
Then you just multiply across:
15 x 5/4 x 2
That should equal
75/8
Simplify! You should end up with 9 3/8
The age of a father is to less than seven times the age of his son in three years the sum oftheir ages will be 52 if the sons presents age is S years which equation models this situation
Answer:
The correct answer is:
(7s-2)+3+(s+3) = 52, or 8s+4 = 52.
Step-by-step explanation:
Since s is the son's age, "two less than seven times" the son's age would be represented by 7s-2. To represent this in 3 years, we would add 3: (7s-2)+3. In 3 years, the son's age, s, would be represented by s+3. We are told that the sum of these ages will be 52; this gives us (7s-2)+3+(s+3) = 52.
To simplify this, combine like terms. 7s+s = 8s; -2+3+3 = 4. This gives us 8s+4=52.
(1/x-4)• (-x^2+9x-20/x+2)
(Multiplying And Dividing Rational Expressions)
ANSWER
[tex]\frac{5 - x}{x + 2}[/tex]
EXPLANATION
We want to simplify the rational expression:
[tex]( \frac{1}{x - 4)} )( \frac{ - {x}^{2} + 9x - 20}{x + 2} )[/tex]
We split the middle term to obtain:
[tex]( \frac{1}{x - 4)} )( \frac{ - {x}^{2} + 5x + 4x- 20}{x + 2} )[/tex]
We now factor to obtain;
[tex]( \frac{1}{x - 4)} )( \frac{-x(x - 5) + 4(x - 5)}{x + 2} )[/tex]
[tex]( \frac{1}{x - 4)} )( \frac{(x - 5)(4 - x)}{x + 2} )[/tex]
Or
[tex]( \frac{1}{x - 4)} ) ( \frac{ - (x - 5)(x - 4)}{x + 2} )[/tex]
We cancel the common factors to get;
[tex]\frac{ - (x - 5)}{x + 2}[/tex]
[tex] = \frac{5 - x}{x + 2}[/tex]
Which measurement is most accurate to describe the width of a math book?
8 inches
2 feet
1 yard
2 inches
its 8 inches, because 2 inches is to short, and a yard is too long for the width of a book
Answer:
8 inches
Step-by-step explanation:
2 feet is too long, 1 yard is way too long, and 2 inches is too short
what’s the value of
tan (3arc cos 3/4)
This trigonometric function can be written as:
[tex]tan (3 cos^{-1} (\frac{3}{4}))[/tex] (1)
Firstly, we have to solve the inner parenthesis:
[tex]cos^{-1} (\frac{3}{4})= 41.409[/tex] (2)
Substituting (2) in (1):
[tex]tan (3(41.409))=tan(124.228)[/tex] (4)
Finally we obtain the value:
[tex]tan(124.228)=-1.469[/tex]
Answer:
[tex]tan(3 \times arc \ cos(\frac{3}{4} ))=\frac{\sqrt{7} }{3}[/tex]
Step-by-step explanation:
The given expression is
[tex]tan(3 \times arc \ cos(\frac{3}{4} ))[/tex]
Where
[tex]cos^{-1}(\frac{3}{4} )=x\\[/tex], which means that, [tex]cosx=\frac{3}{4}[/tex]
If we analyse this trigonometric reason in a right triangle, we would find the hypothenuses is 4 and the adjacent leg is 3. Then, using pythagorean theorem, we find the other leg
[tex]y^{2}=4^{2} -3^{2}\\ y=\sqrt{16-9}=\sqrt{7}[/tex]
Which means the opposite leg of our right triangle is the square root of seven.
Finally, using such right triangle, we find the tangent reason, which is the quotient between the opposite leg and the adjacent leg
[tex]tan(radian \ value)=\frac{\sqrt{7} }{3}[/tex]
Therefore, the answer is [tex]\frac{\sqrt{7} }{3}[/tex]
Help me show the work please
Answer:
We are working with 2 vertical angles which are ALWAYS equal.
Therefore, 2 + 3x = 62
3x = 60
Therefore, x = 20
Step-by-step explanation:
Write the phrase as an expression 28 divided by 7
Note that result of this division is 4, as 28 divided by 7 equals 4.
How is this so?The phrase "28 divided by 7" can be written as an expression using the division symbol (/) or the fraction bar (÷).
Using the division symbol -
28 / 7
Using the fraction bar -
28 ÷ 7
Both expressions represent the division operation where the number 28 is divided by the number 7.
The result of this division is 4, as 28 divided by 7 equals 4.
Learn more about division at:
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Final answer:
The phrase '28 divided by 7' is written as the expression 28/7, which simplifies to the value 4.
Explanation:
The phrase '28 divided by 7' can be written as an arithmetic expression using the division symbol. The expression is 28 ÷ 7 or using the slash notation, it is 28/7.This is the most concise and universally understood way to express the division in mathematical terms.
When you perform this division, the result is 4, since 28 is evenly divisible by 7. When using a calculator to evaluate similar expressions, such as 337/217, you would get a decimal result.
However, for the phrase provided, no calculator is needed because the division is straightforward.
Which phase describes the algebraic expression r/9
Answer:
The quotient of r and 9
Answer:
Step-by-step explanation:
The quotient of r divided by nine. The quotient is unspecified: you only know that there is one.
which expression is equivalent to (3^2)^-2
Answer:
1/(5^6)
Step-by-step explanation:
Which expression is equivalent to (3^2)^-2
Determine which ordered pair is not a solution of y=-5x-4 a. (10,-52) b.(7,-39)c.(-7,31) d(8,-44)
Final answer:
The ordered pair (10, -52) is not a solution to the equation y = -5x - 4 because when x is substituted with 10, the equation yields -54, not -52.
Explanation:
To determine which ordered pair is not a solution of the equation y = -5x - 4, you need to plug the x-value from each ordered pair into the equation and see if the y-value matches the result.
For the pair (10, -52), substitute x with 10: y = -5(10) - 4 = -50 - 4 = -54, which does not match the y-value of -52.For the pair (7, -39), substitute x with 7: y = -5(7) - 4 = -35 - 4 = -39, which matches the y-value.For the pair (-7, 31), substitute x with -7: y = -5(-7) - 4 = 35 - 4 = 31, which matches the y-value.For the pair (8, -44), substitute x with 8: y = -5(8) - 4 = -40 - 4 = -44, which matches the y-value.The ordered pair that is not a solution is thus (10, -52).
Can you Help me with Question 17 Please I’m begging you on my knees I need your help please help me please I’m begging for your help
Answer:
A. 7 more than 2 times m
Step-by-step explanation:
If there's a variable (letter) right next to a coefficient (the number) like in this problem, that means that 2 is being multiplied by m.
Since there's a +7 in the problem, that means thats its being added to or "more than."
Multiplication is "times"
7 is not being multiplied by two or m, it's being added.
So, 2m + 7.
Hope this helps!!!
Which balance accrued the most interest in a month?
A)$458.90
B)$2,249.80
C)$946.95
D)$1,500.00
your answer is A 458.90.
The answer would be A)$458.90
A triangle with measures of x, x, and 2x is a actue, obtuse, or right triangle.
Answer:
right angle triangle.
Step-by-step explanation:
I take it that these are angles and not sides.
x + x + 2x = 180 All triangles have 180 degrees. Combine the left.
4x = 180 Divide by 4
4x/4 = 180/4 Do the division
x = 45
Therefore the angles are
x = 45
x = 45
2x = 90
The triangle is a right triangle because it has 1 angle that is 90 degrees.
A tree that is 100 feet tall casts a shadow that is 150 feet long. Determine the angle at which the rays of the sun hit the ground, to the nearest degree.
Answer:
34°
Step-by-step explanation:
Let θ = the angle of elevation from the ground to the top of the tree. Then
tanθ = 100/150 = 0.6667
θ = arctan0.6667
θ = 34°
The sin's rays hit the ground at an angle of 34°.
Divide: (4x10^5)/(5x10^2)
Answer:
800Step-by-step explanation:
[tex]\dfrac{4\cdot10^5}{5\cdot10^2}=\dfrac{4}{5}\cdot\dfrac{10^5}{10^2}=0.8\cdot10^{5-2}=0.8\cdot10^3=0.8\cdot1,000=800\\\\\\\text{Used}\ \dfrac{a^m}{a^n}=a^{m-n}[/tex]
the bake star bakery used 2 1/4 cups of raisins to make 4 servings of trail mix. How many cups of raisins are in each serving?
Step-by-step explanation:
Change the mixed fraction into improper fraction:
2 1/4 = 2 (1/4)(25/25) = 2 25/100 = 2.25
Divide 4 with 2.25
2.25/4 = 0.5625
0.5625 or a little over 1/2 cup of raisins are in each serving.
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What is the surface area of the triangular prism shown?
the answer would be 860 ft²
Answer:
920 ft^2
Step-by-step explanation:
What is the surface area of the triangular prism shown?
The two prism below are similar what is the value of x
Answer:
C
Step-by-step explanation:
Since the figures are similar then the ratio of corresponding sides are equal, that is
[tex]\frac{3}{15}[/tex] = [tex]\frac{1}{x}[/tex] ( cross- multiply )
3x = 15 ( divide both sides by 3 )
x = 5 → C
If the location you want to go is 270 miles away and you want to get there in 4.5 hours, at what constant speed do you need to drive?
In the diagram below P is the circumscribed about quadrilateral ABCD. What is the value of x?
Answer:
Option D. [tex]x=82\°[/tex]
Step-by-step explanation:
Remember that
In a inscribed quadrilateral opposite angles are supplementary
so
In this problem
[tex]m<C+m<A=180\°[/tex]
we have
[tex]m<C=x\°[/tex]
[tex]m<A=98\°[/tex]
substitute the values and solve for x
[tex]x\°+98\°=180\°[/tex]
[tex]x=180\°-98\°=82\°[/tex]
Answer:
82
Step-by-step explanation:
a pex
pls help!! this is #9 btw
Answer:
A, cus he has other markers in the box, we dont know how many, or how many blue markeys he has so it cant be A
Step-by-step explanation:
PLEASE HELP ME!!!!!!!!!!!!!!In the triangle below, b=___. If necessary, round your answer to two decimal places.
First of all, we can find the angle B by using the fact that the interior angles of a triangle sum up to 180:
[tex]32.5+26.8+B=180 \iff B = 180-32.5-26.8=120.7
[/tex]
Now use the law of sines, which states that the ratio between a side and the sine of its opposite angle is constant. In particular, we have
[tex]\dfrac{\overwrite{BC}}{\sin(A)}=\dfrac{b}{\sin(B)}[/tex]
Plug in the known values and solve for b:
[tex]\dfrac{25}{\sin(32.5)}=\dfrac{b}{\sin(120.7)}\iff b=\dfrac{25\sin(120.7)}{\sin(32.5)}=40.01[/tex]
What is the approximate area of the figure
Answer:
option b
137.1 cm²
Step-by-step explanation:
The given figure consist of two shapes
1) half circle
2) rectangle
Formula to use to calculate the area of this figure
half circle + rectangle
1/2πr² + h(b)where r = radius = diameter/2 = 8/2 = 4 cm
h = height = 14 cm
b = base = 8 cm
plug in values in the formula
1/2(3.14)(4)² + (8)(14)
25. 133 + 112
137.13 cm²
Which equation represents a line that passes though (-9,-3) and has a slope of -6
Answer:
D
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
here m = - 6 and (a, b) = (- 9, - 3), thus
y - (- 3) = - 6(x - (- 9)), that is
y + 3 = - 6(x + 9)
Chad poured a sidewalk that is 42 feet long.He is going to start at the beginning and make a cut every 20 inches.How many cuts will Chad make?
Answer:
26 cuts
Step-by-step explanation:
1. convert 42 feet into inches by multiplying by 12 (12 inches=1 foot)
42*12 = 504 inches
2. divide the total number of inches (504) by 20 (where Chad cuts)
504/20 = 25.2
Since Chad cannot make a partial cut (.2) round up to the next whole number - 26