Answer: y=2x-3
Step-by-step explanation:
BASIC EQUATION: y=mx+b
m is slope
b is y intercept (where line intersects the y axis)
A van travelled at an average speed of 65km/hr from town A. A 35 minutes later a car started from town A ans drove along the same route as the van.If the car caught up with the van after travelling a distance of 130km find the avg speed of the car
Answer:
91.6 km/h
Step-by-step explanation:
Let v = average speed of van = 65 km/h and v' = average speed of car. Let t be the time the car starts to move. The van started 35 minutes earlier at t' = (t + 35/60) h.
Since distance d = vt where v = velocity and t = time, the distance moved by the van d = vt' = v(t + 35/60) and that moved by the car is d' = v't.
Since the car catches up with the van after it had moved a distance of 130 km, d = d' = 130 km.
So d = v(t + 0.583)
Substituting d = 130 km and v = 65 km/h, we have
130 km = 65 km/h(t + 0.583)
130 km = (65t + 37.895 )km
subtracting 37.895 from both sides, we have
130 km - 37.895 km = 65t
92.105 = 65t
dividing both sides by 65, we have
t = 92.105/65
= 1.417 h
≅ 1.42 h
Since d = d' = v't,
v' = d'/t
= 130 km/1.42 h
= 91.55 km/h
≅ 91.6 km/h
So, the average speed of the car is 91.6 km/h
Select the equivalent expression
Answer:
D is the answer of this expressionhow do you rewrite a expression using the base number only once?
ex. 5^(-2)*5^(-4)*5^(8)
Answer:
5
Step-by-step explanation:
Answer:
Rewrite the expression= 5^2
Step-by-step explanation:
With the same base number of 5, one adds the exponents.
In this case 5^-2*5^-4*5^8 8-6=2 as the exponent
Find the factors ???
Answer:
It's C (1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72)
Step-by-step explanation:
1 × 72 = 72
2 × 36 = 72
3 × 24 = 72
4 × 18 = 72
6 × 12 = 72
8 × 9 = 72
‼️ASAP‼️ Which polynomial is in standard form?
Answer:
[tex]12x^5-6x^{2} -9x+12[/tex]
Step-by-step explanation:
To put a polynomial in standard form, you would need to write its terms in the order of highest to lowest degree. The degree is the exponent of a term's variable. [tex]12x^5-6x^{2} -9x+12[/tex] is the only equation out of all the choices that satisfies that requirement. (Remember that the degree of -9x is 1. A term with just one variable with no exponent written still has a degree of 1. Also, 12 is a constant, or a number with no variable, so it has a degree of 0.)
Answer:
2nd one
Step-by-step explanation:
[tex] {12x}^{5} - {6x}^{2} - 9x + 12[/tex]
plz helpppp i dont understand
The answers to be dragged in red box are 30 units², 105.5 units² and 36.1 units² respectively and the answers to be dragged in orange box are 190 units³, 2170 units³ and 386.1 units³ respectively.
Step-by-step explanation:
The area of base of prism is literally the area of the base part of the prism. In this case, its a triangular prism so its base is a Triangle. You can find base area of 1st figure by using 1/2 ×perpendicular×base of right angled triangle whereas on 2nd and 3rd figure you can use 1/2 ×height×base of Triangle.
The volume of Prism is given by base area ×height of the prism, so you can easily find it.
Hope it was helpful and i apologize for my English because I am not a native speaker of English.
A certain club has 10 members, including Harry. One of the 10 members is to be chosen at random to be the president, one of the remaining 9 members is to be chosen at random to be the secretary, and one of the remaining 8 members is to be chosen at random to be the treasurer. What is the probability that Harry will be either the member chosen to be the secretary or the member chosen to be the treasurer
Answer:
The probability that Harry will be chosen as either as Secretary or as treasurer but not as president out of those 10 members will be [tex]\frac{1}{5}[/tex].
Step-by-step explanation:
We have 10 members out of which one is Harry, we need to choose one of the 10 members as President, one to be as secretary out of the remaining 9, one as the treasurer of the remaining 8 members.
We want harry to be as either as secretary or as treasurer. so we will consider both the cases
Probability is given by = No of favorable outcomes/ Total no of outcomes
(1) Harry as secretary : If harry is to be chosen as secretary then he can't be a president or he cant be a Treasurer
As president = [tex]\frac{1}{10}[/tex]
Not as president = [tex]1 - \frac{1}{10}[/tex] = [tex]\frac{9}{10}[/tex]
Now he is selected for the secretary so he can't be selected as treasurer.
Not as treasurer = 1
Probability for chosen as secretary = [tex]\frac{9}{10}*\frac{1}{9}*1[/tex] = [tex]\frac{1}{10}[/tex]
(2) Harry as treasurer : If harry is to be chosen as the treasurer so he can't be chosen as a President or as a Secretary.
Probability for not chosen as president = [tex]\frac{9}{10}[/tex]
Probability for not chosen as secretary = [tex]1-\frac{1}{9} = \frac{8}{9}[/tex]
Probability to be chosen as treasurer = [tex]\frac{1}{8}[/tex]
Probability to be chosen as Treasurer = [tex]\frac{9}{10}*\frac{8}{9}*\frac{1}{8}[/tex] = [tex]\frac{1}{10}[/tex]
Total probability for Harry to be chosen as either secretary or as treasurer will be = P(Secretary) +P(Treasurer)
= [tex]\frac{1}{10} +\frac{1}{10} = \frac{1}{5}[/tex]
Therefore the probability that Harry will be chosen as either as Secretary or as treasurer but not as president out of those 10 members will be [tex]\frac{1}{5}[/tex].
Cassie needs at least $140 to buy a graphing calculator for math class. Currently she has $30 saved and her neighbor tells her she can babysit and earn $10 an hour. What is the minimum number of hours Cassie will need to babysit in order to have enough money to buy the calculator?
The equation needs to have a inequality not a equal sign. Please help
Answer: $30 + $10h > $140.
Step-by-step explanation: Currently Cassie has $30, so that is the fixed amount of money she has. She needs $140 dollars, so this will be on the left side of your inequality with a "greater than symbol". Cassie can earn $10 an hour, use the variable "h" to represent the number of hours she will work. Set your inequality like this:
$30 + $10h > $140.
The reason why we use a "greater than" sign (>) is that the amount of money Cassie earns needs to be greater than the price of the calculator to be able to buy it.
11 is 44% of ? PLEASWE HELP
The temperature of a pot of water was 180.3°F and cools at a rate of -2.5°F per minute. a. What is the temperature after 20 minutes? b. Look for Relationships How many minutes will it take to cool from 180.3°F to 100.3°F?
Answer:
A. 130.3F B. 32 minuits
Step-by-step explanation:
A: if It cools 2.5F a minuite than we will do 20x2.5=50
180.3-50=130.3
B: 180.3-100-3=80. So that means it cooled 80 degrees. we then divide 80 by 2.5. 80/2.5=32. and we know that it has cooled for 32 minuits
It takes 32 minutes to cool from 180.3°F to 100.3°F.
Given that, the temperature of a pot of water was 180.3°F and cools at a rate of -2.5°F per minute.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the temperature after 20 minutes be x.
Now, x = -2.5 × 20
= - 50° F
So, 180.3-50 = 130.3° F
Time taken to cool from 180.3°F to 100.3°F = 180.3-100.3=80°F
= 80/2.5
= 32 minutes
Therefore, it takes 32 minutes to cool from 180.3°F to 100.3°F.
To learn more about an equation visit:
https://brainly.com/question/1529522.
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Solve the equation, showing each step of the solution.
-3x + 25 = 40
Answer:
x= -5
Step-by-step explanation:
-3x + 25 = 40
you want to put x terms on one side, numbers on another side
subtract 25 on both sides
-3x = 15
divide both sides by -3
x= -5
please hit the heart button :)
Answer:
well for me I think
Step-by-step explanation:
-3x=40-25
-3x=15
x=15/-3
x=-5
a. 128
b. 136
c. 153
d. 258
plz help
Answer:
C
Step-by-step explanation:
BRAINLIEST PLEASE
please help, i will give BRAINLIEST. Write an expression in the simplest form to model the perimeter of the following triangle:
Answer: Original expression: 2x - 11 + 4x + 7 + 3(x-4)
Simplified: 9x - 16
Step-by-step explanation:
2x - 11 + 4x + 7 + 3(x-4) becomes 2x - 11 + 4x + 7 + 3x -12
Group like terms, then combine to simplify:
2x + 4x + 3x -11 + 7 - 12
2x + 4x + 3x = 9x
-11 -12 + 7 = =23+7= -16
Simplified expression: 9x - 16
what is 0.8w+3.6 factored
Answer:
4(0.2w + 0.9)
During batting practice, two pop flies are hit from the same location, 2 s apart. The paths are modeled by the equations h = -16t2 + 56t and h = -16t2 + 156t - 248, where t is the time that has passed since the first ball was hit.
Explain how to find the height at which the balls meet. Then find the height to the nearest tenth.
9514 1404 393
Answer:
40.5 ft
Step-by-step explanation:
Solve for the time at which the balls meet, then find the corresponding height.
__
The balls will meet at the height such that the two values of h are the same.
-16t^2 +56t = h = -16t^2 +156t -248
0 = 100t -248
t = 2.48
Using the first equation to find h, we have ...
h = t(-16t +56) = 2.48(-16·2.48 +56) = 40.4736
The balls meet at a height of about 40.5 feet.
Answer:
Use substitution to write the equation: -16t^2 +56t = -16t^2 + 156 - 248
simplify and solve for t, which is 2.48 seconds
substitute 2.48 for t into either equation to get h=40.5 feet
I need the answer in it’s simplest form
3/4 changed to 6/8 makes it a 7/8 when adding making this most simplified into 7/8
4 cm
6 cm
8cm. Find the
Circumference of the
snowman
how many 2 1/2 inch-long steel stakes can Curtis cut from a piece of steel that is 25 inches long?
If sinB = 3/5, find the value of tanB *
Answer:
[tex]\boxed {\boxed {\sf tan (B)=3/4}}[/tex]
Step-by-step explanation:
First, recall the right triangle trigonometry ratios.
sin(θ)= opposite/hypotenuse cos(θ)= adjacent/hypotenuse tan (θ)= opposite/adjacentWe are looking for tangent, so we will use the last ratio.
We know that the sine of B is 3/5. Since sine is opposite over hypotenuse, the opposite is 3 and the hypotenuse is 5.
But, tangent needs opposite and adjacent.
We have to find the adjacent. This can be done using the Pythagorean Theorem, because these ratios are used with right triangles.
[tex]a^2+b^2=c^2[/tex]
where a and b are the legs and c is the hypotenuse.
We know the hypotenuse is 5 and one of the legs is 3.
[tex](3)^2+b^2=(5)^2[/tex]
Solve the exponents.
(3)²= 3*3=9 (5)²=5*5=25[tex]9+b^2=25[/tex]
Subtract 9 from both sides of the equation to isolate the variable.
[tex]9-9+b^2=25-9\\b^2=25-9\\b^2=16[/tex]
b is being squared. The inverse of a square is the square root. Take the square root of both sides.
[tex]\sqrt{b^2}=\sqrt{16} \\b=\sqrt{16} \\b=4[/tex]
The adjacent side is 4.
Now we know the opposite (3) and adjacent (4). We can substitute these into the tangent ratio.
tan(θ)= opposite/adjacent
tan(B)=3/4
The tangent of B is 3/4
The points (4,16) and (−4,−16) are plotted on the coordinate plane using the equation y=a•x. How can you use the coordinates to find the value of a?
Answer: The graph of the linear equation is a set of points in the coordinate plane that all are ... If all variables represent real numbers one can graph the equation by plotting ... of values for x e.g. -2, -1, 0, 1 and 2 and calculate the corresponding y values
any more help just ask :)
If someone could please answer this for me it’s 9th grade math 12 points:) asap pleaseee
Absolute wizards of y'all can figure this out
Answer:
B. 39
Step-by-step explanation:
45 - 4 + 2 - 7 - 1 + 3 + 1
39
Answer:
B would be the answer because
Step-by-step explanation:
I did the whole thing to the right answer
45-4=4141+2=4336-1=3535+3=3838+1=39Hence, the answer is 39 and the only answer on your quiz is B so your answer would be and always well be B (39)
natalie is baking cupcakes. Each cupcake needs ½ a cup of sugar. How many cupcakes can she make if she has 7 ⅓ cups of sugar?
Answer: 14 cupcakes
Step-by-step explanation:
sugar available is 7.33 cups, the 1/3 cup of sugar is no use due to the fact that you need 1/2 cup of sugar to make a single cupcake.
for Spanish readers: el azúcar disponible es de 7.33 tazas, el 1/3 de taza de azúcar es inútil debido al hecho de que necesitas 1/2 taza de azúcar para hacer un solo cupcake.
for French readers:
le sucre disponible est de 7,33 tasses, 1/3 de tasse de sucre n'est pas utile car vous avez besoin de 1/2 tasse de sucre pour faire un seul petit gâteau.
hopefully this helped! :D
Answer:
one cupcake= 1/2 cup of sugar
Total sugar availability: 7 and 1/3 or 7.33
Now go ahead and divide 7.33/.50
Notice that for every cup of sugar you can make exactly 2 cupcakes
Therefore you can make a total or 7*2=14 cupcakes
You are unable to utilize the rest of the 1/3 cup because you need 1/2 to make a singular cupcake
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witch expression is equal to |-12| -|-3|?
A -15
B -9
C 9
D 15
Answer:
C
Step-by-step explanation:
The absolute value function always gives a positive result, that is
| - a | = | a | = a
Given
| - 12 | - | - 3 |
= 12 - 3
= 9 → C
graph the inequality y is less than -2x+4
(i just need the ordered pairs to graph it pls help)
The combined volume of all the tanks at an aquarium is 1.25×10^6 gallons. The aquarium plans to install a new dolphin yank with the volume of 250 gallons. What would be the total of all of the tanks at the aquarium after the new dolphin tank is installed?
Answer:
1,250,250 gallons
Step-by-step explanation:
1.25 * 10^6 gallons = 1,250,000 gallons
1,250,000 gallons + 250 gallons = 1,250,250 gallons
Is point (20,15) on line j?
Answer:
No the point (20,15) is not on line j.
a shed in the shape of a rectangular prism measures x feet high, x + 6.5 feet wide, and is x-4 feet deep. The volume of the shed is given by the function v(x)=x^2+2.5x-26. What is the height, width, and depth of the shed, in feet, if the volume is 990ft^3?
Answer:
x-9
Step-by-step explanation:
HOPE THIS HELP -_-
Bananas are 3/4 water. What percent of a banana is made up of water?
Answer:
75%
Step-by-step explanation:
3/4 in decimal form is 0.75
0.75 x 100% = 75%
Thus 75% of the banana is made up of water.
(Pls help ASAP) brainliest
Answer:
#1
x=8.oo+2.00+4.00
?