Answer:
$40 = 5a + 8s
Step-by-step explanation:
For this question all we need to know is that $40 is equal to 5 prices of the adult tickets plus the 8 prices of the student tickets. From here we can just give a variable to each price and make an equation, like so
Let "a" be the price of the adult ticket and
Let "s" be the price of the adult ticket, then....
$40 = 5a + 8s
(Just to make sure you understand I will repeat. 5 comes from he fact hat there were 5 adult tickets sold which means that there is 5 adult ticket prices in the $40, and exactly the same reasoning goes for the student tickets, 8 students tickets were sold which means the is 8 prices of the student ticket inside the $40.)
I
3.) Write the equation of the line that passes through (0,3) and (1.-1) in standard form.
Given:
The points are (0,3) and (1,-1).
To find:
The equation of line passes through these points.
Solution:
Standard form of a line is
[tex]Ax+By=C[/tex]
We know that, if a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the equation of the line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The line passes through (0,3) and (1,-1), so the equation of the line is
[tex]y-3=\dfrac{-1-3}{1-0}(x-0)[/tex]
[tex]y-3=\dfrac{-4}{1}(x)[/tex]
[tex]y-3=-4x[/tex]
Adding 4x and 3 on both sides, we get
[tex]4x+y=3[/tex]
Therefore, the standard form of the line is [tex]4x+y=3[/tex].
Simone has a collection of coins consisting of 1 quarter, 1 nickel and 1 penny. Using at least two coins from the collection, how many different sums of money are possible
Answer:
4 different sums
Step-by-step explanation:
There are two ways to form a sum: either by leaving out one coin or by not leaving out any. There are three options if we want to leave out one coin, and obviously only one way to not leave out any, so that gives us our answer of [tex]$3+1=\boxed{4}$[/tex] .
Hope this helped! :)
The difference sum of money that should be possible is 4.
The following information should be considered:
There are two ways to form a sum i.e. either by leaving out one coin or by not leaving out any. There are three options if we want to leave out one coin, and obviously only one way to not leave out any, so that gives us i.e.= 3 + 1
= 4
Learn more: brainly.com/question/16911495
Simplify: 5 + 2(x + 3) - 8 + 4x +
Answer:
6x+3
Step-by-step explanation:
The graph shows the number of Calories burned running. How many Calories do you burn per minute?
Adam is going to make concerte He Is going to use 180kg of cement 375kg of sand 1090kg of stone Cement, sand, stones are sold in bags: 1 bag cement is 25kg 1 bag sand is 22.5kg 1 bag stone is 50kg Adam already has 8 bags of cement 19 bags of sand 29 bags of stones Work out what bags he needs to buy to make the concrete. Working must be shown
Answer:
The answer is "90 kg stone ".
Step-by-step explanation:
Adam's got:
[tex]\to 8 \times 25 = 200 \\\\\to 19 \times 22.5 = 427.5 \\\\\to 20 \times 50 = 1000 \\\\[/tex]
He's got enough sand and cement
The stone value:
[tex]\to 1090-1000 = 90 \ kg[/tex]
He has 2 stone bags.
3x-8<-2x+22
Show it with steps please.
Answer:
x < 6
Step-by-step explanation:
1. 3x+2x = 5x
2. 5x - 8 < 22
3. 22+ 8 =30
4. 5x < 30
5. 30/5 = 6
6. x < 6
Step-by-step explanation:
3x-8<-2x+22
3x+2x< 22+8
5x<30
Divide both sides by 5
x=30
Anybody know the answer
Answer:
8
Step-by-step explanation:
pytherogream triple or smth
17,15,8
225+64=289
Please answer ASAP will mark brainliest. If a reflection leaves a point unchanged, which of the following must
be true (select all that apply):
1 The line of reflection must have a slope of 0.
2. The point must be the origin.
3. The line of reflection has a slope of 1.
4. The point lies on the line of reflection.
Answer:
4
Step-by-step explanation:
Find the equation of the line.
Use exact numbers.
y =
x+
Answer: y= 2/3x+4
Step-by-step explanation:
I WILL GIVE BRAINLIEST !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
PLEASE
Answer:
D. All real numbers
Please help me and explain to me!
Step-by-step explanation:
use phytagoras theorem to find the length of broken post
[tex] \sqrt{ {7}^{2} } + {10}^{2} [/tex]
[tex] \sqrt{49 + 100} [/tex]
[tex] \sqrt{149} [/tex]
[tex] = 12.2[/tex]
add the broken post with the standing
= 7 + 12.2
=19.2
A supplier of digital memory cards claims that less than 1% of the cards are defective. In a random sample of600 memory cards, it is found that 3% are defective, but the supplier claims that this is only a sample fluctuation. At the 0.01 level of significance, test the supplier's claim that less than 1% are defective. Use the p-value method.
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
The is no sufficient evidence to support the claim that the less than 1% of the cards are defective
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 600[/tex]
The population proportion of defective samples is p = 0.01
The sample proportion of defective samples is [tex]\^ p = 0.03[/tex]
The level of significance is [tex]\alpha = 0.01[/tex]
The null hypothesis is [tex]H_o : p = 0.01[/tex]
The alternative hypothesis is [tex]H_a: p < 0.01[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\^ p - p }{ \sqrt{ \frac{p( 1 - p )}{n} } }[/tex]
=> [tex]t = \frac{0.03 - 0.01 }{ \sqrt{ \frac{0.01( 1 - 0.01 )}{600} } }[/tex]
=> [tex]t = 0.00406[/tex]
From the z table the area under the normal curve to the left corresponding to 0.00406 is
[tex]p-value = P(Z < 0.00406 ) = 0.50162[/tex]
comparing the p-valve and the level of significance we see that the
[tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
The is no sufficient evidence to support the claim that the less than 1% of the cards are defective
What is the range of the function graphed below?
Answer:
__________-3<Y<4______________
5x³y+10xy²
I will mark brainlest
5x³y+10xy²
we can factorise
5xy(x^2+2y)
A swimmer dove below the surface of the ocean. After 2 minutes, she was 12 meters below the surface. At what rate was she diving? Which equation matches?
1. -12+x=2
2. 2+x=(-12)
3. -2x=(-12)
4. 2x=(-12)
Answer:
4. 2x=(-12)
Step-by-step explanation:
x is the number of meters below the surface per minute
2x is 2 minutes
-12 is 12 meters below the surface
HELP ME PLEASE I HAVE BEEN ON THIS QUESTION FOR 5 YEARS NOW WHATS THE ANSWER???????
2+1=
(if y’all dont get the joke-)
Organize the lengths below from shortest to longest.
28 dm
629,000 mm
1.2 km
30,277 cm
Answer:
30,277cm, 629,000mm, 28dm, 1.2km
Step-by-step explanation:
Number Eight: Simplify
Answer
dookie but
Step-by-step explanation:
dookie in my dookie x 3 = dookie
ted's company has recieved an order to print 10^6 pages. ted's company has 100 machines , each of which can print 10^4 pages a day. ted's company can print the 10^6 pages in blank.
in exponent form, this number of days can be represented as blank
Answer:
10^0=1 day
Step-by-step explanation:
10^4 x 100=10^4 x 10²
=10^(4+2)
=10^6
Then:
10^6/10^6=10^(6-6)=10^0=1 day
Answer:
1 day, 10^0
Step-by-step explanation:
PLATO correct
A band is paid $50 for performing at a restaurant. For each customer that eats at the restaurant, the band is paid $2. If the band made $142 in one night, how many customers ate at the
restaurant?
Answer:
There were 46 customers who ate at the restaurant.
Step-by-step explanation:
First we need to subtract the total by how much the ban was paid to perform.
$142 - $50 = $92
$92 ÷ 46 = $2
Madelyn buys 3 bottles of orange juice at the corner store for a total cost of $2.31. If each bottle costs the same amount, how much is each bottle of juice?
Answer:
cost of each bottle of juice is $0.77
Step-by-step explanation:
Let the cost of 1 bottle be $x
multiplying both side by 3
then cost of 3 bottle will be 3*$x = $3x
given that
total cost of 3 bottles = $2.31
thus
3x = 2.31
dividing both side by 3
x = 2.31/3 = 0.77
Thus, cost of each bottle of juice is $0.77
Answer:
$0.77 for each bottle of juice
Step-by-step explanation:
Madelyn buys 3 bottles of orange juice at the corner store for a total cost of $2.31.
So,
2.31/3 = 0.77
Thus, $0.77 for each bottle of juice
-TheUnknownScientist
Use the distributive property to multiply (2 w + 7)(2 w - 7).
Answer:
[tex]4w^{2} -49[/tex]
Step-by-step explanation:
Expand (2w+7)(2w−7)
2w(2w-7)+7(2w-7)
2w(2w)+2w*-7+7(2w-7)
2w(2w)+2w*-7+7(2w)+7*-7
Find the solution for the system of linear equations by substitution:
y = x
y = 2x − 4
Answer:
Asi takhle
..........
Help, I have to turn this in tomorrow I need to know if this is right.
Answer:
yes, that's correct!
Step-by-step explanation:
ABCD is a trapezium with AB parallel to DC.
DC= 15 cm and AB= x cm
The perpendicular distance between AB and DC is 3 cm less than the length of AB. The area of ABCD is 75 cm square.
i) show that x2 + 12x - 195= 0
Answer:
Step-by-step explanation:a or b ?
Describe how you can tell whether a line’s slope is greater than 1, equal to 1, or less than 1
If the slope is greater than one, it would have a positive slope and it is moving vertically up the y axis.
If the slope is equal to one, Guessing that the y axis is counting by 1 you could tell the slope is 1 by looking to see if first, it is moving positively up the y axis or look at what points it is intersecting. If it's counting every 1 point (For example) If the start of the slope began on the origin (0, 0) than it should count (0, 0) - (1, 1) - (2, 2) - (3, 3) etc..
Now the more "confusing" one. if the slope is less than one it can be a flat line on the graph. Not negative nor positive, Its neutral. You can also tell if its positive if it is moving down the graph, Negatively. or if it is moving into a different quadrant from. (0, 0)
The different fonts are the different answers, i hope this helped.
NEED HELP ASAP!!!! 2 QUESTIONS!!!!OFFERING BRAINIEST!!!
Answer:
(0, 8) on the first question and 4 on the second question
hi, pls help me! :((
Answer:
the y-intercept is (0,4) because it's the point that's sitting on the y-axis (the one going up and down)
Step-by-step explanation:
PLS HELP ASAP
Choose the (factored) form of the given equation.
6 x2 + 2 x - 8 = 0
1. (6 x - 8)( x + 1) = 0
2. (6 x + 8)( x - 1) = 0
3. (6 x + 1)( x - 8) = 0
Answer:
1,=(6x-8)(x+1)
=6x²+6x-8x-8
=6x²-2x-8
2,=(6x+8)(x-1)
=6x²-6x+8x-8
=6x²+2x-8
3,=(6x+1)(x-8)
=6x²-42x+x-8
=6x²-41x-8
Answer:
second option
Step-by-step explanation:
Expand the factors using FOIL
1
(6x - 8)(x + 1) = 0
6x² - 2x - 8 = 0 ≠ 6x² + 2x - 8
2
(6x + 8)(x - 1) = 0
6x² + 2x - 8 = 0 ← True
3
(6x + 1)(x - 8)
= 6x² - 47x - 8 = 0 ≠ 6x² + 2x - 8 = 0
Thus the factored form is
6x² + 2x - 8 = 0
(6x + 8)(x - 1) = 0 → second option
Two containers are mathematically similar. Their volumes are 54cm³ and 128cm³. The height of the smaller container is 4.5cm. Calculate the height of the larger container.
Answer:
the height of the larger container is 6 cm
Step-by-step explanation:
The computation of the height of the large container is shown below:
In the case when the factor of linear scale for two solid be k
So the factor of volume scale be k^3
Now the volume scale factor is
= 128 ÷ 54
= 64 ÷ 27
= (4 ÷ 3)^3
Now the height of the large container is
= 4.5 cm × 4 ÷ 3
= 6 cm
hence, the height of the larger container is 6 cm