Jack can jump upto 97.5 inches.
What is Equation Modelling?
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have Jack who can long-jump 195% of his height with a running start.
Assume that he can jump a height of [x] inches. So -
x = 195% of 50
x = (195/100) x 50
x = 97.5 inches
Therefore, Jack can jump upto 97.5 inches.
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Answer:
29
Step-by-step explanation:3(2x1+3)-4(1-3)+3x2
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Madeline borrowed some money from her friend in order to help buy a new video game system. Madeline agreed to pay back her friend $5 per week, and after 13 weeks, Madeline still owed her friend $5. Write an equation for L,L, in terms of t,t, representing the amount Madeline owes her friend after t weeks.
Answer:
5 x T = L
Step-by-step explanation:
50 POINTS!!! Urgent, Extremely Confused!
So far, Marta has correctly predicted the winner of 6 out of 13 football games. She wants to know how many consecutive games she would have to predict correctly to raise the percent of correct predictions to 65%.
a. Write an equation to represent this situation.
b. Solve the equation. !Show all steps!
c. Answer the question. How many consecutive games must she predict correctly to raise her percent to 65%?
Answer:
Required Answer:-Marta predicted correctly 6 out of 13 football games .
We need to find first Her's Current percentage[tex]\longrightarrow[/tex][tex]\sf {\dfrac {6}{13}}\times 100 [/tex]
[tex]\longrightarrow[/tex][tex]\sf {\dfrac {600}{13}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf 46.15\% [/tex]
Now We need to add x in both denominator and numerator[tex]\longrightarrow[/tex][tex]\sf {\dfrac {6+x}{13+x}}={\dfrac {65}{100}} [/tex]
Simplify use cross multiplication method[tex]\longrightarrow[/tex][tex]\sf 100 (6+x)=65 (13+x)[/tex]
[tex]\longrightarrow[/tex][tex]\sf 600+100x=845+65x [/tex]
[tex]\longrightarrow[/tex][tex]\sf 100x-65x=845-600 [/tex]
[tex]\longrightarrow[/tex][tex]\sf 35x=245 [/tex]
[tex]\longrightarrow[/tex][tex]\sf x={\dfrac{245}{35}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf x=7 [/tex]
So the new rational number[tex]\longrightarrow[/tex][tex]\sf {\dfrac {6+x}{13+x}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf {\dfrac {6+7}{13+7}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf {\dfrac {13}{20}}[/tex]
[tex]\therefore [/tex] Marti needs to predict more 13 games out of 20 to raise her percentage to 65%.
How many solutions does the equation have? 5(w−1)−2=5w+7
Answer: no solutions
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
5(w-1)-2=4w+7
(5×w-5×1)-2=4w+7
5w-5-2=4w+7
-5-2-7=4w-5w
-14=-w
-14/-=-w\-
w=14
Supplies for last year cause 1477 which was 177 over the budget rounded to the nearest one percent by what percent did it cost to see the budget cost
Answer:
About 12%
Step-by-step explanation:
Answer:
The cost exceeded the budgeted cost by 14%
Step-by-step explanation:
Supplies for last year cost 1,477, which was 177 over budget. So, the budgeted cost was: 1477 - 177 = 1300
Suppose, the cost of supplies exceeded the budgeted cost by
So, the amount of exceeded cost dollar.
Thus, the equation will be......
13x = 177
x= 177/13 = 13.615 = 14
(Rounded to the nearest 1%)
So, the cost exceeded the budgeted cost by 14%
Clare wants to make an open-top box by cutting out corners of a 30 inch by 25 inch piece of poster board and then folding up the sides. The volume, `V\left(x\right),` in cubic inches of the open-top box is a function of the side length, `x,`in inches, of the square cutouts.
Answer:
V(x) = 4x³ - 110x² + 750x
Step-by-step explanation:
For each side of the base of the open-top box, since x inches is cut out from each side, we have 2x inches removed from each sides dimension.
Since the dimensions of the poster are 30 inches by 25 inches, the area of the base of the open-top box is thus
A(x) = (30 - 2x)(25 - 2x) since we remove 2x inches from each dimension.
Now, the height of the open-top box is x. So, its volume is V(x) = Ax
V(x) = (30 - 2x)(25 - 2x)x
V(x) = (750 - 60x - 50x + 4x²)x
V(x) = (750 - 110x + 4x²)x
Expanding the bracket, we have
V(x) = 750x - 110x² + 4x³
Re-arranging, we have
V(x) = 4x³ - 110x² + 750x
9x+12=24 i feel like i know the answer but im just a bit confused
Answer: x = 4/3 or x = 1.3 or x = 1 1/3
Step-by-step explanation: you have to move everything that does Not have A Variable to the right and solve the equation
9x + 12 = 24
9x = 24 - 12
= 12
x = 12/9
I am confused too. This is the best I can do :(
Mr. Dyer is studying a map. The map has a scale that says 1.5 inches is equivalent to 125 miles. Mr. Dyer measures and sees that two cities are half a foot apart. He has enough gas in his truck to travel 580 miles. Can he make it from one city to the other on the gas in his truck?
Answer: Yes he can make the trip without having to refuel.
The distance between the two cities is 500 miles.
================================================
Work Shown:
half a foot = 1/2 ft = (1/2)*(12 inches) = 6 inches
Based on the scale given, we can say,
(map length)/(real length) = (map length)/(real length)
(1.5 inches)/(125 miles) = (6 inches)/(x miles)
1.5/125 = 6/x
1.5x = 125*6 ............. cross multiply
1.5x = 750
x = 750/1.5 .......... divide both sides by 1.5
x = 500
The two cities are 500 miles apart. Since this is less than 580, he can make the trip without having to refuel.
This is assuming he drives directly from the first city to the second, without any additional pitstops or detours. Though in reality, straight line distance on a map doesn't always necessarily correspond to the road distance traveled (since the road tends to wind or curve often). However, for the sake of this problem, we'll just assume the road is a straight line to keep things simple.
----------------------------------------
Another approach:
1.5 inches = 125 miles
3 inches = 250 miles ..... multiply both sides by 2
6 inches = 500 miles .... multiply both sides by 2
half a foot = 500 miles
So half a foot on paper corresponds to 500 miles in real life.
if 15% of a number is 12 and 95% of the same number is 76, find 80% of that number
En una hoja de papel cuyo perímetro es de 96 centímetros, se quiere imprimir un volante de manera que el área impresa sea un rectángulo cuyo largo mida el doble del ancho, el margen superior mida 3 centímetros, el izquierdo 5 centímetros y los márgenes inferior y derecho midan 2 centímetros cada uno. ¿Cuál es el perímetro de la región impresa?, ¿cuál es el área?
Answer:
El perímetro de la región impresa es 72 cm y su área es 288 cm².
Step-by-step explanation:
1. Tenemos el perímetro de la hoja de papel:
P₁ = 96 cm = 2l₁ + 2a₁ (1)
Como sabemos el margen superior, inferior, izquierdo y derecho podemos encontrar la relación entre el largo y ancho del rectángulo interno (región impresa) con el largo (l) y ancho (a) del rectángulo externo (hoja de papel):
[tex] l_{2} = l_{1} - (m_{s} + m_{i}) = l_{1} - (3 cm + 2 cm) = l_{1} - 5 cm [/tex] (2)
[tex] a_{2} = a_{1} - (m_{d} + m_{iz}) = a_{1} - (2 cm + 5 cm) = a_{1} - 7 cm [/tex] (3)
El perímetro del rectángulo interno es:
[tex] P_{2} = 2l_{2} + 2a_{2} [/tex] (4)
Introduciendo la ecuación (2) y (3) en (4):
[tex] P_{2} = 2l_{2} + 2a_{2} = 2(l_{1} - 5 cm) + 2(a_{1} - 7 cm) = 2l_{1} + 2a_{1} - 10 cm - 14 cm = 96 cm - 24 cm = 72 cm [/tex]
Por lo tanto el perímetro del rectángulo interno (región impresa) es 72 cm.
2. Ahora para encontrar el área rectángulo interno debemos encontrar el largo y ancho del mismo, sabiendo que:
[tex] l_{2} = 2a_{2} [/tex] (5)
Introduciendo (5) en (4):
[tex] P_{2} = 2l_{2} + 2a_{2} = 2*2a_{2} + 2a_{2} = 6a_{2} [/tex]
[tex] a_{2} = \frac{P_{2}}{6} = \frac{72 cm}{6} = 12 cm [/tex]
[tex] l_{2} = 2a_{2} = 2*12 cm = 24 cm [/tex]
Entonces el área es:
[tex] A_{2} = l_{2}*a_{2} = 12 cm*24 cm = 288 cm^{2} [/tex]
Por lo tanto el área del rectágulo interno (región impresa) es 288 cm².
Espero que te sea de utilidad!
What is the solution to the system of equations?
8x + y = -16
3x – y = 5
Answer:
For the first one if solving for y, y=−8x−16. If solving for x,
x= −1/8y-2
For the second one if solving for y, y=3x−5 and if solving for x,
x=1/3y +5/3
What can sound engineers do with a mixing console? HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP ill give brainliest to the first answer
Answer:
Sound engineers use a mixing console to control volume, balance, and EQ o a live performance.
Answer:
so you can give the other person brainlist
Step-by-step explanation:
The Baldwin family walked four over five of a mile in four over nine of an hour. What is their unit rate in miles per hour? (5 points)
four-ninths over four-fifths equals four over nine mile per hour
four-fifths over four-ninths equals one and four-fifths miles per hour
four-ninths over four-fifths equals one and four-fifths miles per hour
four-fifths over four-ninths equals four over nine mile per hour
Answer:
4/5 / 4/9 = 1 and 4/5 mph or B
Step-by-step explanation:
4/5 / 4/9
4/5 times 9/4 = 36/20
36/20 simplified = 9/5
9/5 = 1 and 4/5
Answer:
4/5 over 4/9 = 1 4/5
Explanation:
(Took test)
Step-by-step explanation:
4/5 mile in 4/9 of an hour
0.8 mile in 0.444444444 of an hour
Unit rate: 1.8 miles per hour
0.8 = 8/10 = 4/5
1.8 = 1 4/5
Patrice is a star player for the unc women’s basketball team she has injured her ankle and is doubtful that she will be able to play. If she can play, the coach estimates the will score 78 points. If she is not able to play, the coach estimates they will score 62 points. The team doctor estimates there is a 60-40 chance she will play. Determine the number of points the team can expect to score
Answer:
3
Step-by-step explanation:
A line with a slope of -3/4 that passes through the point (-14,4).
Answer:
y=-3/4x-13/2
Step-by-step explanation:
This should be the answer, I am not 100% though
I did y-4=-3/4x(x+14)
Margie says the set of numbers, 0.1, -1, -21 4 , 3, are in order from least to greatest. What is her error? She did not use the correct common denominator. The 3 is in the wrong place. She treated all the numbers as positive. The –1 should be the first number on the list.
Answer:
C. She treated all numbers as positive.
Step-by-step explanation:
-2 1/4 and -1 are less that 0.1
Answer:
C
Step-by-step explanation:
Find value of X in the figure. With an equation
Answer:
x = 135
Step-by-step explanation:
The angles shown are vertical angles and vertical angles are equal.
(6x³ - 16x² + 11x - 5) + (3x - 2)
Answer:
Step-by-step explanation:
6x3 - 16x2+ 11x - 5+ 3x - 2
Solving like terms
6x3 - 16x2 + 14x - 7
an atom of a certain element has 35 protons and has 7 valence electrons. which statement best identifies the element ?
Answer:
the number of protons identifies what element it is, since it has 35 protons it is Bromine
number of protons=atomic number
The element is Bromine which as atomic number of 35.
Atomic number :The number of protons in an atom is equal to atomic number.
It is given that, an atom of a certain element has 35 protons and has 7 valence electrons.
So that, atomic number of atom [tex]=35[/tex]
From periodic table, It is observed that Bromine has atomic number of 35.
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The cost of a telephone call from Wilson to East Meadow is $0.60 for the first three minutes plus $0.17 for each additional minute. What is the greatest number of whole minutes of a telephone call if the cost cannot exceed $2.50?
Answer:
14 minutes
Step-by-step explanation:
divide 2.50$ by 0.17$ and u get 14 minutes if you round it
As an estimation we are told £3 is €4.
Convert €12 to pounds.
Answer:
£9
Step-by-step explanation:
3 x 4 = 12
3 x 3 = 9
Answer:
£9
Step-by-step explanation:
£3 -> €4
x3
£? -> €12
so three times three
3 x 3 = 9
Another way
3 divided by 4 is .75
so multiply .75 by 12
Factor the expression x²+9
HELPPPP drag the correct equation to the graph
Which problem is not represented by the
equation 20 + x = 35?
a) A cake needs 35 min in the oven. It has
been in the oven for 20 min.
bI earned 20 000 Dinars. I will get more
money so that the total amount will be
35 000 Dinars.
You are in the 20th floor. You pressed the
35th floor button.
d I bought a shirt for 20 000 Dinars and a
pair of pants for 35 000 Dinars.
Answer:
d the other equations the total is 35. this one the total would be 55
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10.
2
In parallelogram PQRS, Ô = 114º,
PT bisects Ê and TS bisects ŝ.
Prove that PT I ST.
R
Answer:
PQ R s parallelogram
< Q = < s = 114
< P = 180 _ 114 = 66
<2 = 66 / 2 = 33
< I = 114 / 2 = 5 7
< I + < 2 = 3 3 + 57 = 90
< ( STP ) = 90
TP I ST
5x + 8 = 43
What is x
Answer:
x = 7
Step-by-step explanation:
You minus 8 from both sides which becomes, 5x = 35,
35 ÷ 8 = 7
Check work:
5 times 7 = 35.
35 + 8 = 43
The solution is: solve of the equation 5x + 8 = 43 is: x = 7.
Here, we have,
given that,
the equation is: 5x + 8 = 43
now, we have to solve this.
so, we have,
5x + 8 = 43
we minus 8 from both sides which becomes,
5x = 35
we know that, 5 times 7 = 35
Divide 5 on both sides so that the only thing remaining on the left side is the variable x.
so, x = 7
Final Answer: 7
Hence, The solution is: solve of the equation 5x + 8 = 43 is: x =7.
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Two numbers differ by 4. The product of the two numbers is 221. What are the numbers?
Answer:
17 and 13
Step-by-step explanation:
Answer:
Step-by-step explanation:
Represent this with two linear equations:
x+4 = y
x * y = 221
substitute for y:
y= 221/x
Plug this back into first equation:
221/x = x +4
x^2 + 4x = 221
x^2 + 4x -221 = 0
Solve this with a quadratic:
x = -17, x = 13
take the values of 17 and 13, which satisfy the given conditions
Is the following true or false? Why?
x < 8 is the same as 8 < x
Answer:
False.
Step-by-step explanation:
X can not be less than 8 and also greater than 8 and the same time.
Help me plz I need help
Answer:
5 5/8
Step-by-step explanation: