Answer:
11.1 and 38.9
Step-by-step explanation:
16x + 18 (1-x) = 16.89
2x = 1.11
x = 0.222
0.222 x 50 = 11.1
50-11.1 = 38.9
if a teenager receives 4 tokens for finishing first place in an arcade game, which table correctly represents the realtionship between the number of tokens the teenager receives and the number of first place finishes the teenager completes?
Answer:
The first chart.
Step-by-step explanation:
The first table. The chart gives a ratio of 1:4, which is the same as the amount the teenager made.
39) A bike road race starts at an elevation of500feet and passes through 5 stages where the elevation changes by -139 feet, -63feet, 197feet, 27feet, and -327feet. At what elevation does the race end.
The answer is 195 feet please show the work to get the answer?
The elevation at which the race ends is given by the equation A = 195 feet
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the elevation at which the race ends be A
Now , the equation will be
The bike road race starts at an elevation of 500 feet
So , the initial elevation = 500 feet
The number of stages = 5 stages
The elevation at first stage = -139 feet
The elevation at second stage = -63 feet
The elevation at third stage = 197 feet
The elevation at fourth stage = 27 feet
The elevation at fifth stage = -327feet
So , the total elevation of all the stages during the bike race = initial elevation + elevation at first stage + elevation at second stage + elevation at third stage + elevation at fourth stage + elevation at fifth stage
Substituting the values in the equation , we get
The total elevation of all the stages during the bike race = elevation at which the race ends A
So ,
Elevation at which the race ends A = 500 + (-139) + (-63) + (197) + (27) + (-327)
On simplifying the equation , we get
Elevation at which the race ends A = 500 - 305
Elevation at which the race ends A = 195 feet
Therefore , the value of A is 195 feet
Hence , the race ends at an elevation of 195 feet
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Xavier buys 4 snacks and 2 cans of
soda. Each snack costs $1.25, and each
can of soda costs S dollars. Xavier's
total for the snacks and soda was $8.
How much did each can of soda cost
Total cost is the sum of all expenses incurred to produce a particular type of product. The answer is $1.50.
What is the definition of total cost?Total cost is the sum of all expenses incurred to produce a specific kind of output. Financial reporting, when overhead costs must be allocated to specific assets, is where the total cost approach is more useful from an accounting standpoint.
$8 was spent in total.
Xavier bought four $1.25 snacks.
4 x 1.25 = $5
The 2 cans cost $3 because 5 + 3 = 8, and we know how much the snacks cost ($5), making the total cost ($8).
Each can cost $1.50 because, if the price of the two cans was $3, we would have to divide it by two to get the price of the second can, which comes out to be $1.50. As a result, each can was $1.50.
Therefore, the answer is $1.50.
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Write the word sentence as an equation. Then solve the equation
84 is 99 fewer than a number c.
simplify the expression 14+5(x+3) - 7x
Answer:
- 2x +29
Step-by-step explanation:
Open up the parenthesis, then simplify
14 + 5x + 15 - 7x
5x - 7x + 14 + 15
-2x + 29
[tex]14+5(x+3) - 7x[/tex]
Distribute:
[tex]14+(5)(x)+(5)(3)-7x[/tex]
[tex]14+5x+15-7x[/tex]
Combine Like Terms:
[tex](5x-7x)+(14+15)[/tex]
[tex]\fbox{-2x + 29}[/tex]
Factor the expression using the GCF.
50+65h=
Greatest common factor (GCF) of 50 and 65 is 5.
How to find the GCF of 50 and 65?We will first find the prime factorization of 50 and 65. After we will calculate the factors of 50 and 65 and find the biggest common factor number .
Step-1: Prime Factorization of 50
Prime factors of 50 are 2, 5. Prime factorization of 50 in exponential form is:
50 = 21 × 52
Step-2: Prime Factorization of 65
Prime factors of 65 are 5, 13. Prime factorization of 65 in exponential form is:
65 = 51 × 131
Step-3: Factors of 50
1, 2, 5, 10, 25
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 50 and 65. The biggest common factor number is the GCF number.
So the greatest common factor 50 and 65 is 5.
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For a long distance person-to-person telephone call a telephone company charges $.89 for the first minute and $.31 for each additional minute and $1.23 service charge at the cost of the avocado is six hours and $.15 how long did the person talk
So the person talked for 6 minutes.
Define Unitary Method.The unitary approach involves calculating the value of a single unit, from which we may calculate the values of the necessary number of units.
Define ratio and proportion.Two quantities are compared to form a ratio. An equality of two ratios is a percentage. How to format a ratio Analyze the ratio to see whether it is part to part or part to whole. Calculate the whole and the pieces as necessary.
To solve this problem, we can use the following equation:
Cost = (Number of minutes x $0.31) + $0.89 + $1.23
We know that cost is $6.15 and the call lasted 6 hours. Since there are 60 minutes in an hour, we can convert the time in hours to minutes by multiplying 6 hours by 60 minutes/hour
So the number of minutes is 6 hours * 60 minutes/hour = 360 minutes
Now we can substitute the values into the equation:
Cost = (360 minutes x $0.31) + $0.89 + $1.23
Cost = $111.6 + $0.89 + $1.23
Cost = $113.72
The equation does not match the $6.15 cost, which means that the person talked for 6 minutes
So the person talked for 6 minutes.
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Solve for -10 - 9/2 x <80
Answer:
X > -20
Step-by-step explanation:
-10 - 9/2 x < 80
Move 10 to the other side
- 9/2 x < 80 + 10
Simplify
-9/2 x < 90
-9 x < 180
x > -20
(We switch the inequality sign if we are dividing with negatives)
Before hibernation, a bear weighs 990 pounds. Its weight decreases
by 32% during hibernation. How much does the bear weigh when
it comes out of hibernation? Show your work.
Answer:316.8
Step-by-step explanation:
Answer:316.8
Step-by-step explanation:
I need help on questions 9 and 12 pls help:(
The graphs as per the transformations are given below.
What are transformation of graphs?
There are four transformations that happens in a graph -
When a figure is translated, it is moved in any direction.
Flipping a figure over a line is called reflection.
Rotation is the process of turning a figure a specific amount around a point.
When we dilate a figure, we increase or decrease its size.
The triangle CHV have points C(-4,5), H(-3,3) and V(-3,5). When it is reflected across x=-3. The image gets mirrored in the negative y-axis with the points C(-4,-2), H(-3,0) and V(-3,-2).
The parallelogram CJWY have points C(-3,-1), J(-2,-1), W(-2,-4), Y(-1,-4). It needs to be translated by (x,y)->(x+2,y+0)
C=(-3+2,-1+0)=(-1,-1)
J=(-2+2,-1+0)=(0,-1)
W=(-2+2,-4+0)=(0,-4)
Y=(-1+2,-4+0)=(1,-4)
The parallelogram TSCH have points T(-1,3), S(1,4), C(1,-1), H(3,0). It needs to be translated by (x,y)->(x+0,y-1)
T=(-1+0,3-1)=(-1,2)
S=(1+0,4-1)=(1,3)
C=(1+0,-1-1)=(1,0)
H=(3+0,0-1)=(3,-1)
The triangle RDP have points R(0,0), D(-2,-2) and P(3,-3). On rotation of 180 degrees graph (x,y) becomes (-x,-y).
R=(0,0)
D=[-(-2),-(-2)]=(2,2)
P=[-(3).-(-3)]=(-3,3)
Therefore, the transformations are made.
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Which of the following best describes the difference in the results for the special products( A+B)^2 and ( A-B)^2
The difference between the expansions of (A + B)^2 and (A - B)^2 is the sign of the middle term. In the second case it is negative, due to the negative sign on B.
Which is the difference between the two expressions?Here we have two perfect square trinomials, these are:
(A + B)^2
(A - B)^2
Notice that the only difference between these is the sign of the second element.
Now we can expand these two expressions as:
(A + B)^2 = (A + B)*(A + B) = A^2 + 2AB + B^2
The second expression gives:
(A - B)^2 = (A - B)*(A - B) = A^2 + 2*A*(-B) + (-B)^2
= A^2 - 2AB + B^2
There we can see that the only difference between these two expansions is the sign of the middle term. Where in the second case it is negative, due to the negative sign on B.
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Find the quotient and remainder using synthetic division for
1³ + 31² + 8x + 14
------------------------
x + 2
The quotient is
The remainder is
Therefore , the solution to the given problem of equation comes out to be quotient : x² +x+6+ [tex]\frac{2}{x+2}[/tex] and remainder is 2
Explain equationA mathematical depiction of two equal variables, one on either side of a "equals" sign, is called an equation. Equations can be used to solve common problems. To solve challenges in real life, we frequently turn for pre algebra assistance. Lessons in pre-algebra cover the foundational ideas of mathematics.
Here,
Given : synthetic division for
x³ + 3x² + 8x + 14
------------------------
x + 2
Write the problem in synthetic division format
-2 | 1 3 8 14
-2 -2
------------------------
1 1 6
Carry down the leading coefficient, unchanged, to below the division symbol
-2 | 1 3 8 14
-2 -2
---------------------------
1 1 6
Multiply the carry - down value by the zero of the denominator, and carry the result up into the next column:
1(-2)=-2
-2 | 1 3 8 14
-2 - 2
------------------
1 1 6
=> We get:
As
x² +x+6+ [tex]\frac{2}{x+2}[/tex]
and remainder is 2
Therefore , the solution to the given problem of equation comes out to be quotient : x² +x+6+ [tex]\frac{2}{x+2}[/tex] and remainder is 2.
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At a baseball game, a vendor sold a combined total of 137 sodas and hot dogs. The number of sodas sold was 47 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.
Taking into account the definition of a system of linear equations, the number of sodas and hot dogs sold is 92 and 45 respectively.
System of linear equationsA system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
The values of the unknowns must be found, with which, when replaced, they must give the solution proposed in both equations.
Number of sodas and hot dogs soldIn this case, a system of linear equations must be proposed taking into account that:
"x" is the number of sodas sold."y" is the number of hot dogs sold.You know:
At a baseball game, a vendor sold a combined total of 137 sodas and hot dogs. The number of sodas sold was 47 more than the number of hot dogs sold.The system of equations to be solved is
x + y= 137
x= y + 47
To solve a system of equations by the substitution method, an unknown quantity must be solved in one of the equations. Substitute the expression of this unknown in the other equation, obtaining an equation with only one unknown and thus be able to solve it. The value obtained is substituted in the equation in which the unknown appeared. In this way, the two values obtained constitute the solution of the system.
In this case, substituting the second equation in the first one you get:
y + 47 + y= 137
Solving:
y+ y= 137 -47
2y= 90
y= 90÷2
y= 45
Replacing this value in the second equation, you get:
x= 45 + 47
x= 92
Finally, the number of sodas sold is 92 and the number of hot dogs sold is 45.
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which value of s makes the following true 7s < 42
The value of s that makes the inequality true is 6
What is an inequality?An inequality can simply be defined as a mathematical relation that makes a non-equal comparison between two variables, numbers, ratios or other mathematical expressions.
It is used in comparing two numbers on the number line on the basis of their size.
The inequality signs are;
Greater than: >Less than: <Greater than or equal to: ≥Less than or equal to: ≤From the expression given, we have;
7s < 42
Make 's' the subject by dividing both sides by 7, we have;
s > 42/7
s> 6
Hence, the value is greater than 6
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-POINTS-
(4IZ0 Don’t even try.)
Answer:
Step-by-step explanation:
axf
One side of a square field is 92m. Find the cost of raising lawn on the field at the rate of 1.50 per sq.m
Answer:
Cost = 12696
Step-by-step explanation:
One side of a square field is 92m. Find the cost of raising lawn on the field at the rate of 1.50 per sq.m
find the area and multiply by 1.50
Square area = l²
Square area = 92²
Square area = 8466 m²
Cost = Area × rate of 1.50 per sq.m
Cost = 8466 × 1.50
Cost = 12696
A triangle has dimensions 9ft by 12ft if you wanted to increase the size of the triangle by a scale factor of 10 over three what would the area of the new triangle be
The area of the new triangle is 600ft²
How determine the area of the new triangle?To increase the size of a triangle by a scale factor of 10/3, multiply each dimension of the triangle by 10/3.
The new dimensions of the triangle will be:
10/3 × 9ft = 30ft
10/3 × 12ft = 40ft
The area of a triangle is given by the formula A = 1/2 × b ×h,
where b is the length of the base and h is the height of the triangle.
Thus, the area of the new triangle will be:
A = 1/2 × 30 × 40 = 600ft²
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please help me thank you so much
A local store is selling a tool for 35% off its normal price. If the tool costs $45, how much would you save by buying it on sale? A. $15.75, B. 18.25, C. 12.75, D. 16.50
Ann's car can go 210 miles on 6 gallons of gas. During a drive last weekend, Ann used 7 gallons of gas. How far did she drive?
Answer:
245 miles
Step-by-step explanation:
210 = 6 gallons
210/6 = how far you can travel with one gallon
210/6 = 35
7*35 = how far you can travel with 7 gallons
7*35 = 245
Answer:
Ann drove 245 miles during her drive last weekend.
Step-by-step explanation:
If Ann used 7 gallons of gas during her drive last weekend, we can use the car's MPG to find out how far she drove by multiplying the number of gallons used by the MPG:
7 gallons * 35 miles/gallon = 245 miles
Find the range of values of k for which the equation 4x² + 12x + k = 0 has no real roots.
Hello there!
Answer:
[tex](9, +\infty)[/tex]
Step-by-step explanation:
It has no real roots only if
[tex] \sqrt{b {}^{2} - 4ac } [/tex]
has no roots. That means that b² - 4ac is smaller than 0:
[tex]b {}^{2} - 4ac < 0 \\ 12 {}^{2} - 4 \times 4 \times k < 0 \\ 144 - 16k < 0 \\ 144 - 144 - 16k < - 144 \\ - 16k < - 144 \\ k > 9 \\ k \: \: \: in \: \: \: (9, +\infty)[/tex]
we can approach this from the standpoint of the discriminant, if the discriminant is negative then we only get complex roots or namely "imaginary" solutions or values, well, let's check before that happens, when the discriminant is 0.
[tex]\qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ y=\stackrel{\stackrel{a}{\downarrow }}{4}x^2\stackrel{\stackrel{b}{\downarrow }}{+12}x\stackrel{\stackrel{c}{\downarrow }}{+k} ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one solution}\\ positive&\textit{two solutions}\\ negative&\textit{no solution} \end{cases}[/tex]
[tex]0=(12)^2 - 4(4)(k)\implies 0=144-16k\implies 16k=144 \\\\\\ k=\cfrac{144}{16}\implies k=9\hspace{5em} \stackrel{if~k > 9\textit{, then we land on negative territory}}{{\Large \begin{array}{llll} k > 9 \end{array}}}[/tex]
A moving company wants to buy a new type of truck and needs to know the volume of the storage compartment before they can decide if they should purchase the truck. What’s is the volume of the storage compartment
Answer: jump off a cliff and shatter your bones
Step-by-step explanation:
Find the value of g(f(-1))
Answer: I say 13
Step-by-step explanation:
Given right triangle JKM, which correctly describes the locations of the sides in relation to ∠J?
Answer:
It is the first answer,
Step-by-step explanation:
The hypotenuse is always the longest side and opposite of the right angel. Side b is the adjacent side to J and c is the opposite side of J.
If Isabella has 1809 and Leah takes 27 how many will Isabella have left
1809/27=
Answer:
1809/27=67 is your answer........
A ball is launched from a 48.314-meter tall platform. The equation
=
for the ball's height h at time t seconds after launch is h (t) =
-4.9t² +2.45t + 48.314, where his in meters. When does the
object strike the ground?
Answer:
3.4 seconds
Step-by-step explanation:
Given function:
[tex]h(t)=-4.9t^2+2.45t+48.314[/tex]
where
h = height of the ball (in meters)t = time (in seconds)The ball will strike the ground when its height is zero.
Therefore, to calculate when the ball strikes the ground, substitute h(t) = 0 and solve for t using the quadratic formula.
[tex]\boxed{\begin{minipage}{3.6 cm}\underline{Quadratic Formula}\\\\$x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}$\\\\when $ax^2+bx+c=0$ \\\end{minipage}}[/tex]
Therefore:
a = -4.9b = 2.45c = 48.314Substitute these values into the quadratic formula:
[tex]\implies t=\dfrac{-2.45 \pm \sqrt{(2.45)^2-4(-4.9)(48.314)}}{2(-4.9)}[/tex]
[tex]\implies t=\dfrac{-2.45 \pm \sqrt{6.0025+946.9544}}{-9.8}[/tex]
[tex]\implies t=\dfrac{-2.45 \pm \sqrt{952.9569}}{-9.8}[/tex]
[tex]\implies t=\dfrac{-2.45 \pm 30.87}{-9.8}[/tex]
[tex]\implies t=\dfrac{-2.45 + 30.87}{-9.8}=-2.9[/tex]
[tex]\implies t=\dfrac{-2.45 -30.87}{-9.8}=3.4[/tex]
As time cannot be negative, t = 3.4 s only.
Therefore, the ball strikes the ground 3.4 seconds after it is launched.
What is the reciprocal of 1 4/13
Answer:
[tex]\frac{13}{17}[/tex]
Step-by-step explanation:
just a tip use math-way in the future it's always been great
Hope this helps!
First five terms to the sequence a(n+1) = 5a(n) and a(1)=2 for n[tex]\geq[/tex]1
The required first five terms of the sequence are 2, 10, 50, 250, and 1250.
What is an arithmetic sequence?An arithmetic sequence is defined as an arrangement of numbers that is in a particular order.
The first five terms of the sequence, a(n), defined by the recurrence relation a(n+1) = 5a(n) and a(1) = 2, are as follows:
a(1) = 2
a(2) = 5a(1) = 5 × 2 = 10
a(3) = 5a(2) = 5 × 10 = 50
a(4) = 5a(3) = 5 × 50 = 250
a(5) = 5a(4) = 5 × 250 = 1250
Therefore, the first five representations of the sequence are 2, 10, 50, 250, and 1250.
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PLEASE HELP ME ASAP DUE TODAY NOW
Answer:
y = [tex]\frac{3}{4}[/tex]x + 3
Step-by-step explanation:
find the slope m
m = [tex]\frac{y2 - y1}{x2 - 21}[/tex]
m = [tex]\frac{3 - 0}{0 - - 4}[/tex]
m = [tex]\frac{3}{4}[/tex]
y = mx + b
find b
insert y1 and x1 into the equation
0 = [tex]\frac{3}{4}[/tex](-4) + b
0 = -3 + b
b = 3
y = [tex]\frac{3}{4}[/tex]x + 3
List five vectors in Span (V₁ V₂). Do not make a sketch.
V₁ = (8 2 7 )
V₂ = (-6 4 0 )
List five vectors in Span (V₁ V₂).
(Use the matrix template in the math palette. Use a comma to separate vectors as needed. Type an integer or a simplified fraction for each vector element.)
Five vectors in Span (V₁ V₂) where V₁ = (8 2 7 ) and V₂ = (-6 4 0 ) is.
n(V₁ + V₂), n ∈ I, I = 1, 2, 3, 4, 5.
What is span in vector space?In mathematics, the set of all linear combinations of the vectors in S is referred to as the linear span, Denoted span(S), Either the intersection of all linear subspaces containing S, or the smallest subspace containing S, can be used to describe it. A vector space is therefore nothing more than the linear range of a set of vectors.
The vectors that are in the same span should be a multiple of the vectors
V₁ = (8 2 7 ), V₂ = (-6 4 0 )
Now, V₁ + V₂ = (2 6 7).
So, The five vectors in the span of V₁ and V₂ is,
2×(2 6 7).
= (4 12 14).
- 2×(2 6 7).
= (- 4 - 12 - 14).
3×(2 6 7).
= (6 18 21)
- 3×(2 6 7)
= (- 6 - 18 - 21).
5×(2 6 7).
= (10 30 35).
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