Given distance=360 km.
Let the speed of the train be x km/hr.
Speed when increased by 5 km/hr =(x+5) km/hr
x
360
−
(x+5)
360
=1
x(x+5)
[360x+1800−360x]
=1
x
2
+5x−1800=0
x
2
+45x−40x−1800=0
x(x+45)−40(x+45)=0
(x−40)(x+45)=0
x=40,−45
The speed of the train is 40 km/hr.
helpppppppppppppppppppp WILL MARK BRAINLIST
Answer:
(2, 5)
Step-by-step explanation:
Graphing calculator makes it easy :)
Can someone explain this
Answer:
ummm if yu foil yu get
(4x+2)(x+1)
Step-by-step explanation:
ion kno if das rii
It costs $150 to rent a party room at Pizza-n-Games, plus $6 per person for pizza and $5 per person for game tickets. The expression showed gives the total cost for n people.
150+6n+5n
Evaluate the expression to find the cost for a party of 15 people
Answer:
$315
Step-by-step explanation:
A singer earns $4 million in 2015. During the next 10 years, the earnings increase 7% each year. A. Write an exponential growth model giving the earnings y (in millions of dollars) t years after 2015. Write the base of the model as a decimal. An exponential growth model is y= b. In which year will the player's earnings first exceed $7,000,000?
Answer:
ninth year
Step-by-step explanation:
Given the general form of an exponential equation;
P = a(1 +r)^t
We can now write in this particular case;
y = 4 * 10^6(1 + 0.07)^t
The year in which y reaches 7 * 10^6 dollars is
7 * 10^6 = 4 * 10^6 (1 + 0.07)^t
7 * 10^6/4 * 10^6 = (1 + 0.07)^t
1.75 = (1 + 0.07)^t
ln(1.75)= ln(1 + 0.07)^t
ln(1.75) = t ln(1 + 0.07)
0.5596 = 0.06766t
t = 0.5596/0.06766
t = 8 years
So, in the ninth year;
y = 4 * 10^6 (1 + 0.07)^t
y = 4 * 10^6 (1 + 0.07)^9
y = 7.35 * 10^6
Hence, the player's earnings first exceed $7,000,000 in the ninth year.
MacKenzie invested $6,500 in an account that earns 4.3% simple interest rate. What is the balance in her account after 5 years?
Answer:
so you wold do I=t×r×A ok so I=6,500 t=5 r=4.3 and u have to find A so you wolf multiple 5×4.3=21.5 and than you wold divide 6500÷21.5=302.3255813953488×21.5= 6500 so A=302.3255813953488
10=k5 what does k equal
Answer:
k = 2
Step-by-step explanation:
10 = 2(5)
10 = 10
Answer: k=2
Step-by-step explanation:
10=(2)5
10=2x5
10=10
What is the value of x? Round to the nearest tenths place.
Answer:
39^2-15^2=1296
/
put this number in a square root and it will give you=36
×=36
Step-by-step explanation:
hypotenuse minus short side it gives another short side
n/4 -14=10
what is n?
Answer:
n=96
Step-by-step explanation:
Answer:
n = 96
Step-by-step explanation:
[tex]\frac{n}{4}-14=10\\\frac{n}{4} = 24\\n = 96[/tex]
Two children divide £1.50 between them in the ratio of 2: 1. How much is the smaller share?
Answer:
0.50 cents
Step-by-step explanation:
If the ratio is 2:1 then the bigger share would be 2 times bigger than the smaller share.
A recipe needs 1/2 teaspoon of vanilla for every 21/2 cups of sugar. If you plan to use 5 cups of sugar, how much vanilla will you need?
Answer:
1 teaspoon
Step-by-step explanation:
What is a fraction for 6:100
Answer:
it's 3/50
Step-by-step explanation:
Answer:
3/50
Step-by-step explanation:
the fraction 6/100 can simplify to 3/50
At a flea market, used computer games are sold at the prices shown in the table below.
Number of Games Price ($)
2 9.00
5 22.50
7 31.50
The proportion relation between the number of games and the price is given by the proportionality constant k = 4.5
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the number of games be represented as x
Let the cost for the total number of games be y
And , the values of x = { 2 , 5 , 7 }
Now , the values of y = { 9.00 , 22.50 , 31.50 }
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
On simplifying , we get
9 = k ( 2 )
Divide by 2 on both sides , we get
k = 4.5
And , 22.50 = k ( 5 )
Divide by 2 on both sides , we get
k = 4.5
Therefore , the proportionality constant is k = 4.5
Hence , the proportion is y = 4.5x
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The complete question is :
At a flea market, used computer games are sold at the prices shown in the table below.
Number of Games Price ($)
2 9.00
5 22.50
7 31.50
Do the Number of the games and price form a proportional relationship? choose correct response
1. Yes there is a constant of proportionality of 11.25.
2. Yes there is a constant of proportionality of 4.50.
3. No there is not a constant of proportionality.
4. No the Slope is 4.5
30 points, real good help please.
- Create your own set of coordinates for and graph it on a coordinate plane.
- Write a scenario involving the dilation of ABC onto its image. In the scenario, include the scale factor between the similar triangles and the coordinates for the image.
- Use the distance formula or Pythagorean Theorem to prove mathematically that is similar to its image. Include all necessary calculations.
We choose the coordinates (4,4), (4,10), and (8,4) as the vertices of right-angle triangle ABC We want to dilate triangle ABC by scale factor of 2 at the center (0,2)The image is shown below as triangle A'B'C' with coordinates (8.6), (8,18), and (18,6). Triangle ABC has a base of 4 units and a height of 6 units
Triangle A'B'C' has a base of 8 units and a height of 12 unitsApplying Pythagoras theorem to triangle ABC to find the hypotenuse
Now, we calculate the hypotenuse of the image
The hypotenuse of the image is twice the hypotenuse of triangle ABC which proof the two shapes are similar shape
On Wednesday morning, Smith's had 99
boxes of Sweet Smacks on the shelf. 4
out of every 11 boxes contained a prize.
How many boxes did NOT contain a
prize?
Answer:
4
Step-by-step explanation
Im sure its four. If not let me know
plzzzz help me due soon!!!
Answer:
c
Step-by-step explanation:
i hope this helps
HELP AND PLS EXPLAIN AND ILL MARK BRAINLIEST PLSS I'M CONFUSED AND NEED HELP FAST
Answer:
Okay so what you do is multiply 6*9*4.5 together and that'll give you 243 as the volume of the prism. I'm not sure what it is in decimal. I'm guessing 24.3
I'm so sorry if this is incorrect.
Have a great day! <3
Answer:
121.5 ft^2
Step-by-step explanation:
To find Volume of Triangular prism, find the area of the triangular shape first.
Step 1: 6 x 4.5 = 27(square)
Step 2: 27 x .5 = 13.5(triangle)
13.5 x 9(the width) = 121.5
Because volume is length x width x height.
The height and length is 6 x 4.5 in this problem.
Note : I did "x.5 " because I needed to divide 27 by two to get a triangle. Since a triangle is half a square. Dividing by 2 and multiplying by .5 are the same thing.
Example: 20 x .5 =10 or 20/2 =10
Help me please and thank you
the answer is
360 hoped that helped
Answer:
240
Step-by-step explanation:
600 x .6 = 360
600 - 360 = 240
someone help :))))!!
Can plss someone help me pls I need help
Answer:
[tex]x = { \tan(4.6) }^{ - 1} \\ x = (77.73522627211)[/tex]
1 poin
A catering assistant mixes 4 parts of cordial to 12 parts of water. Express
this as a ratio in its simplest form.*
1:1/3
O 1:2
O 1:3
O 14
Plzzz helppp!!
Which equation is equivalent to 3/5 = 17 2/5 divided by h
The correct expression will be ( 3 + 9) = ( 87 ÷ h ) + 9. The correct option is C.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is 3 / 5 = 17²/₅ ÷ h. The expression will be solved as below,
3 / 5 = 17²/₅ ÷ h
3/5 = 87 / 5 ÷ h
h = 87 / 3
h = 29
Check option C for the value of h = 29.
3 + 9 = ( 87 / h ) = 9
3 = 87 / h
h = 87 / 3 = 29
Hence. the correct option is C.
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Is this true for false?
Answer:
i believe true
Step-by-step explanation:
sorry if wrong
A rectangle has an area of 56x2y units2. If the height of the rectangle is 7xy. What is the length of the rectangle.
Answer:
8x units
Step-by-step explanation:
A rectangle has an area of 56x²y units². If the height of the rectangle is 7xy. What is the length of the rectangle.
The Area of a Rectangle is calculated with the formula
Length × Width ( Height)
Area = 56x²y square units
Height = 7xy units
Length =Area of the rectangle/Height of the rectangle
= 56x²y square units/7xy units
= 8x units
Which of the following best describes the solution to the system of equations below? -8x + 3y = -6 9x - 3y = 6 A. The system of equations has exactly one solution where x = 8 and y = 2. B. The system of equations has no solution. C. The system of equations has infinitely many solutions. D. The system of equations has exactly one solution where x = 0 and y = -2.
Answer:
C. no solution
Step-by-step explanation:
find the cost of a $20,700 car plus 6% sales tax
Answer:
$21,942
Step-by-step explanation:
Ask Siri
Answer:
$21,942
Step-by-step explanation:
6%=0.06
20,700*0.06=1,242
$20,700+$1,242=$21,942
could someone please help me with part b ?
Answer:
The answer is c, C=1.5w + 5
Step-by-step explanation:
Let's write a general equation first,
C = mw + b, where C represents the shipping cost, w is the weight, m and b are non-zero constants.
By using the set of data in the table, what we can do is to substitute the corresponding values into our general equation. [Use any 2 set of numbers]
11 = 4w + b --(1)
17 = 8w + b --(2)
Here we got 2 equations, 2 unknown, thus we can get
w = 3/2, b = 5
The answer is c, C=1.5w + 5
[Noted that if you already got the slope(the yellow words), you can simply substitute one set of numbers into C=1.5w + b to find the value of b]
Please help me to solve
✓ C
✓ D
✓ E
Answer:
1)Mononaimal polynomial
2)Mononomial polynomial
3)Bionomial polynomial
If the simple interest on $1000 for 9 years is $630, then what is the interest rate?
Answer:
0.07 or 7%
Step-by-step explanation:
I = Prt
630 = (1000)(9)r
630 = 9000r
r = 0.07
Step-by-step explanation:
Simple interest (SI) = $ 630
Time (T) = 9 years
Principal (P) = $ 1000
Rate (R) = ?
We know
[tex]si = \frac{ptr}{100} \\630 = \frac{1000 \times 9 \times r}{100} \\ 630 = 90r \\ r \: = \frac{630}{90} \\ = 7\%[/tex]
Therefore the rate of interest is 7%.
Hope it will help :)❤
A researcher wants to know if eating a mint affects whether people can distinguish between two popular orange juice brands. To conduct an experiment, the researcher places 50 participants in two groups. The treatment group will eat a mint before drinking a juice, while the control group will not eat a mint before drinking. Then the participants will guess the juice brand. To select the groups, the researcher labels each participant with a number and selects slips of paper labeled 1–50 from a bowl at random. The first 25 participants whose numbers are selected will be the treatment group, while the other 25 will be the control group.
The characteristics of the two groups
A should be roughly equivalent because both groups will have 25 participants.
B should be roughly equivalent because the participants were labeled and then randomly selected for the groups.
C might not be roughly equivalent because one group may contain people that drink more juice than the other group.
D might not be roughly equivalent because one group may contain more people that prefer a particular juice brand.
Answer:
D might not be roughly equivalent because one group may contain more people that prefer a particular juice brand.Step-by-step explanation:
I hope it helps :)
Answer:
B. should be roughly equivalent because the participants were labeled and then randomly selected for the groups
Step-by-step explanation:
Just passed the quiz
Solve the whole problem i give brainliest please help me.
Answer:
So the inequality for this is 12.5x + 35 ≥ 105
and the amount of visits they need to get to their goal is 6 visits
Step-by-step explanation:
you subtract the points they already have (35) from both sides and you'll get..
12.5x ≥ 70
then you divide 12.5 from both sides and you'll get 5.6, or 6 visits