Answer:
$[tex]1g[/tex]
Explanation:
If the number of granola bars is represented by the variable [tex]g[/tex], and each granola bar costs $1, then we need to multiply the amount per granola bar by the number of granola bars.
This is $[tex]1 * g[/tex], or $[tex]1g[/tex].
In this scenario, the total cost of the granola bars can be represented by the mathematical expression 'g', as each granola bar costs $1.
Explanation:If each granola bar costs $1 and 'g' is representing the number of granola bars, then the total cost of the granola bars can be represented by the expression 1 * g or simply g. This is because for every granola bar you buy, you are adding $1 to your total. So if you bought 'g' granola bars, your total cost would be $1 times the number of granola bars 'g'. This is an example of direct proportionality, where the total cost increases with the increase in number of granola bars.
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Find the product. Simplify your answer. a/a^2-16 × a+4/a^2
Answer:
[tex]\frac{1}{a(a-4)}[/tex]
Step-by-step explanation:
Factor the denominator of the first fraction
a² - 16 ← is a difference of squares and factors as
a² - 16 = (a - 4)(a + 4), thus fraction becomes
[tex]\frac{a}{(a-4)(a+4)}[/tex] × [tex]\frac{a+4}{a^2}[/tex]
Cancel the factor (a + 4) on numerator/denominator and the a and a², leaving
[tex]\frac{1}{a(a-4)}[/tex]
How many vertices are in the polyhedron?
Answer:
There are 20 vertices in the polyhedron.
The number of vertices in a polyhedron can be determined using Euler's formula or the specific properties of certain polyhedra such as platonic solids. The number of vertices varies depending on the type and structure of the polyhedron.
The number of vertices in a given polyhedron depends on the specific characteristics of the shape. According to the Euler's formula, represented as V - E + F = 2 (where V is the number of vertices, E the number of edges, and F the number of faces), we can determine the number of vertices if the other values are known.
For instance, a tetrahedron has 4 vertices, an octahedron has 6, a icosahedron has 12, a cube (also known as a regular hexahedron) has 8, and a dodecahedron has 20 vertices.
If f(x) = 2x - 6 and g(x) = 3x + 9, find (f - g)(x).
A. (f-g)(x) = x + 15
O
O
B. (f- g)(x) = -x - 15
O c. (f- g)(x) = 5x + 3
O D. (f- g)(x) = -x+3
SUBMIT
Answer:
[tex]\large\boxed{B.\ (f-g)(x)=-x-15}[/tex]
Step-by-step explanation:
[tex](f-g)(x)=f(x)-g(x)\\\\f(x)=2x-6,\ g(x)=3x+9\\\\\text{Substitute:}\\\\(f-g)(x)=(2x-6)-(3x+9)\\\\=2x-6-3x-9\qquad\text{combine like terms}\\\\=(2x-3x)+(-6-9)\\\\=-x-15[/tex]
Find the slope of the line that goes through (-4, 5) and (3,-1)
Answer:
y = (-6/7)x + 11/7
Step-by-step explanation:
Going from (-4, 5) to (3,-1), x increases by 7 and y decreases by 6. Hence, the slope, m, of this line is m = rise / run = -6/7.
Making use of the slope-intercept form of the equation of a str. line, we have:
y = mx + b → 5 = (-6/7)(-4) + b, or
5 = 24/7 + b. Thus, b = 11/7, and
y = (-6/7)x + 11/7
The formula to find slope when you know two points is
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
In this case...
[tex]y_{2} =-1\\y_{1} =5\\x_{2} =3\\x_{1} =-4[/tex]
^^^Plug these numbers into the formula for slope...
[tex]\frac{-1 - 5}{3 - (-4)}[/tex]
[tex]\frac{-6}{7}[/tex]
^^^This is your slope
Hope this helped!
~Just a girl in love with Shawn Mendes
use the distributive property to rewrite the expression without parentheses
(t+11)(-3)
Answer:
-3t - 33
Step-by-step explanation:
Distribute -3 to all terms within the other parenthesis:
(-3)(t + 11) = (-3)(t) + (-3)(11)
Simplify by multiplying:
(-3)(t) + (-3)(11)
-3t + (-33)
-3t - 33 is your answer.
~
3 digit largest number
Answer:
999 is the largest three-digit number
Step-by-step explanation:
which expression means three minus the product of two times a and five?
Answer:
[tex]3-(2a)(5)[/tex]
Step-by-step explanation:
we know that
The algebraic expression of the phrase "three minus the product of two times a and five" is equal to
[tex]3-(2a)(5)[/tex]
[tex]3-10a[/tex]
Solve 15 ≥ -3x or 2/5 x ≥ -2.
Answer:
x ≥ -5
Step-by-step explanation:
15≥-3x
switch sides
-3x≤15
Multiply both sides by -1 (reverse the inequality)
(-3x)(-1)≥15(-1)
Simplify
3x≥-15
Divide both sides by 3
3x/3≥ -15/3
Simplify
x≥ -5
Answer:
{x | x ≥ -5}
Step-by-step explanation:
Trying to help everyone!
A school spent $150 on advertising for a breakfast fundraiser. Each plate of food was sold for $8.00 but cost the school $2.00 to prepare. After all expenses were paid, the school raised $2,400 at the fundraiser. Which equation can be used to find x, the number of plates that were sold?
6x – 150 = 2,400
6x + 150 = 2,400
10x – 150 = 2,400
10x + 150 = 2,400
Answer:
A. 6x-150=2400
X=425
Step-by-step explanation:
Solve.
6x-150=2400
First, you add 150 from both sides of equation.
6x-150+150=2400+150
Then, simplify.
2400+150=2550
6x=2550
Divide by 6 from both sides of equation.
6x/6=2550/6x
Simplify to find the answer.
2550/6=425
X=425 is the correct answer.
A. 6x-150=2400 is the correct answer.
Answer:
6x – 150 = 2400
Step-by-step explanation:
Each plate of food was sold for $8, but cost the school $2 to prepare:
-2x + 8x = 6x
A school spent $150 on advertising for a breakfast fundraiser:
-150
After all expenses were paid, the school raised $2400 at the fundraiser:
6x – 150 = 2400
In case you want to solve it:
6x – 150 = 2400
+ 150 + 150
_________________
6x = 2550
___ _____
6 6
x = 425
So, four hundred twenty-five plates were sold.
I am joyous to assist you anytime.
An engineer on the ground is looking at the top of a building. The angle of elevation to the top of the building is 46°. The engineer knows the building is 250 ft tall. What is the distance from the engineer to the base of the building to the nearest whole foot?
Answer:
=241 ft
Step-by-step explanation:
The building is opposite the angle of elevation. Thus using trigonometric ratios it is easier to use Tangent of the elevation angle to find the distance to the foot of the building (adjacent).
Tan ∅ = opposite/ adjacent
Tan ∅= height of the building/ distance between the engineer and the building
distance= height/tan ∅
=250/tan 46°
=241 ft
=
Answer: 241 feet.
Step-by-step explanation:
Observe the figure attached, where "x" is the distance from the engineer to the base of the building to the nearest whole foot.
We need to remember this identity:
[tex]tan\alpha=\frac{opposite}{adjacent}[/tex]
In this case we know that:
[tex]\alpha=46\°\\opposite=250\\adjace nt=x[/tex]
Therefore, the next step is to substitute these values into [tex]tan\alpha=\frac{opposite}{adjacent}[/tex]:
[tex]tan(46\°)=\frac{250}{x}[/tex]
And the final step is to solve for "x":
[tex]x*tan(46\°)=250\\\\x=\frac{250}{tan(46\°)}\\\\x=241ft[/tex]
a line, segment, or ray which divides the interior angels of a triangle into two equal parts what is it?
Answer:
A ray
Step-by-step explanation:
Answer:
ray
Step-by-step explanation:
30 is what percent of 200?
Answer:
15 percent
Step-by-step explanation:
30/200=15/10015/100=0.150.15=15 percentTo find the percentage of a number, divide the first number by the second number and multiply by 100. In this case, 30 is 15% of 200.
Explanation:To find the percentage, divide the first number by the second number and multiply by 100. In this case, 30 divided by 200 is 0.15. Multiply 0.15 by 100 to get 15%. Therefore, 30 is 15% of 200.
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If x varies directly as y, and x = 7.5 when y = 10, find x when y = 4
[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\bf \stackrel{\textit{"x" varies with "y"}}{x=ky}\qquad \textit{we also know that } \begin{cases} x=7.5\\ y=10 \end{cases}\implies 7.5=k(10) \\\\\\ \cfrac{7.5}{10}\implies \cfrac{~~\frac{15}{2}~~}{10}=k\implies \cfrac{3}{4}=k~\hfill \boxed{x=\cfrac{3}{4}y} \\\\\\ \textit{when y = 4, what is \underline{x}?}\qquad x=\cfrac{3}{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}(~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~)\implies x=3[/tex]
What is the slope-intercept equation for the line below?
(0, 2)
Answer:
Step-by-step explanation:
There is no given equation, so it is impossible to figure this out. I apologize.
Convert the improper fraction to a mixed number.
17/3 = ?
A - 3 1/3 B - 5 2/3 C - 6 1/3 D - 3 1/6
Answer:
5 2/3 (which is Answer B)
Step-by-step explanation:
17/3 is an improper fraction; the numerator is greater than the denominator.
Dividing 17 by 3, we get 5 2/3 (which is Answer B).
The conversion of the improper function gives 5(²/₃) as the mixed fraction.
What is a fraction?A fraction is a number written in the form a / b, where a and b are integers and b ≠ 0.
The number a is called as the numerator and b is the denominator.
The given improper function is 17/3.
In order to convert an improper function into a mixed fraction, first do the long division then the remainder obtained becomes the numerator of the mixed fraction and quotient becomes the whole number.
It can be done for the given case as follows,
The division of 17 by 3 gives,
Quotient = 5 and Remainder = 2
then, the mixed fraction can be written as 5(²/₃).
Hence, the given improper fraction can be converted into mixed fraction as 5(²/₃).
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Linda is buying boxes of ice cream sandwiches for her class party. She has to decide how many boxes she should purchase. A formula for this scenario is: Z=ax/y where z=number of boxes, a= number of bars each student will eat, x= number of students at the party, y= number of ice cream bars per box.
Linda has 15 students in her class, and she wants each student to have 2 ice cream sandwiches. If there are 10 sandwiches in a box, how many boxes should Linda buy?
Answer:
a = 2
x = 15
y = 10
Z= 2x15/10 = 3
a share of wonder stock rose 4 points on Monday. on Tuesday it fell 6 points. what was it's total loss or gain
Answer:
loss: 2 points
Step-by-step explanation:
Mathematically: +4 - 6 = -2. The "net" loss was 2 points.
Two parallel lines are crossed by a transversal.
Answer:
Value of x is 37.
Step-by-step explanation:
Given:
line y and line z are parallel.
line x is traversal line.
To find: value of x.
∠( 3x + 4 )° and ∠ 115° are alternate interior angle in the given figure.
We know that Alternate interior angles of parallel lines are equal.
So,
3x + 4 = 115
3x = 115 - 4
3x = 111
x = 37
Therefore, Value of x is 37.
Two parallel lines are crossed by a transversal then the value of x is 37.
Given that line y and line z are parallel and line x is a traversal line.
To find that value of x.
We have ∠( 3x + 4 )° and ∠ 115° are alternate interior angles in the given figure.
We know that Alternate interior angles of parallel lines are equal So,
3x + 4 = 115
3x = 115 - 4
3x = 111
x = 37
Therefore, the Value of x is 37.
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answer this question please
Answer:
(A) 35 degrees
Step-by-step explanation:
Using vertical angles, alternate interior angles, and corresponding angles, the measure of angle 2 is also 35 degrees.
Answer:
A.35
The parallel lines have equal angels
Can someone please help me understand why the coefficient of 'a' in a over 2 is 1/2 instead of 1?
Answer:
What you need to consider is what multiplied by 2 results in a/2. This number is the coefficient of a.
We can easily see that a/2 = 1/2 * a and therefore the coefficient is 1/2.
Answer:
Step-by-step explanation:
a/2 (a over 2) is rewritten as a×1/2 (a multiplied by half ) so now you can easily see that the coefficient of "a" is 1/2
What is f(3) for the quadratic function f(x)= 2x^2+ + x - 12
Answer: f(3) = 9
Step-by-step explanation: f(3) = 2(3)^2 + x - 12
f(3) = 18 + (-9)
f(3)= 9
A rectangular box is 8 inches long,
5 inches wide, and 4 inches high. What
is its volume?
A 160 cubic inches
B 168 cubic inches
C 1782 cubic inches
D 180 cubic inches
Answer:
A
Step-by-step explanation:
To find the volume of a rectangular box, multiply all its dimensions together.
[tex]8*5*4=160[/tex]
Find the value of x.
log 2 x = 3
A. 5
B. 6
C. 8
D. 9
Answer: Option C
[tex]x =8[/tex]
Step-by-step explanation:
To solve this problem use the properties of the logarithms.
We know that the inverse function of [tex]y = log_2 (x)[/tex] is [tex]y = 2 ^ x[/tex].
So when composing the function with its inverse function we have to:
[tex]2 ^ {log_2 (x)} = x[/tex].
Now apply this property on both sides of the equation
[tex]log_2(x) = 3\\\\2^{log_2(x)}=2^3\\\\x = 2^3\\\\x = 8[/tex]
the answer is the option C
Can someone pls help me with 15 and 16
????????????????????
Answer:
ASA
Step-by-step explanation:
In the 2 triangles
∠J = ∠L
side OJ = side IL
∠O = ∠I
The triangles are congruent by the angle/side/angle (ASA ) postulate
The measure of angle 2 is (3x+10) degrees and the measure of angle 4 is (4x-15) degrees.What is the measure of angle 7
Answer:
7 is (5-20) degrees because if you see 2is (3* 10) or 4 is (4*- 15) you will get your Answer
can you find angle a
Check the picture below.
2 3 + x = 3 what is X solved for
Answer:
Obviously its x=3-23=-20.
Hi there! My name is Zalgo and I am here to help you out on this wonderful day. "23+x=3", it seems that we need to find the "X value". That would be "-20". In order to test that it is the correct answer, just input it into the equation. "23+-20=3".
I hope that this helps! :)
"Stay Brainly and stay proud!" - Zalgo
(By the way, do you mind marking me as Brainliest? I'd greatly appreciate it! Thank you! XP)
In order to form a negation, just add "not" to a statement or take "not" out of a statement if it already exists.
True
False
Answer:
The correct answer option for this is: False.
Step-by-step explanation:
We are given the following statement which we are to determine whether its true or false:
In order to form a negation, just add "not" to a statement or take "not" out of a statement if it already exists.
To form a negation, we add the word 'not' to a statement - this part of the given sentence is true.
While 'or take "not" out of a statement if it already exists' is false which makes the whole sentence false.
What is the slope of the line that passes through the points (26,7) and (-39,12)
Answer:
the slope is : - 1/13
Step-by-step explanation:
Hello : let A(26,7) B(-39,12)
the slope is : (YB - YA)/(XB -XA)
(12-7)/(-39-26) = 5/(-65) = - 1/13
the slope is : - 1/13