Answer:
the price per gallon for each drink is $4.5 and $4.75 respectively
Step-by-step explanation:
The computation of the price per gallon for each drink is as follows;
Let us assume the ice tea be x
And, lemonade be y
So the equations are
2x + 3y = $23.25 .......(i)
5x + 4y = $41.50 ................(ii)
Now multiplied by 5 and 2 in equation 1 and 2
10x + 15y = $116.25
10x + 8y = $83
7y = 33.25
y = $4.75
Now put the y value in any of the equation
2x + 3($4.75) = $23.25
x = $4.5
So, the price per gallon for each drink is $4.5 and $4.75 respectively
What is the measure of /GMH
A 40°
B 45°
C 50°
D 90°
Answer: A
Step-by-step explanation: /GMK is a right angle and /HMK is 50 degrees so 90-50=40
Explain or show - Describe how the graph of y=3x+1 is the same and different from the graph of y=3x+4. your reasoning YA a. How are they the same? b. How are they different? x c. Explain or show your reasoning: (Feel free to use graph paper if you'd like.)
Answer:
a.) they have the same slope
b.) they have different y-intersepts
c.) in the slope-intercept formula y = mx + b, m is the slope and b is the y-intercept. since the two equations have the same slope but different y-intercepts we can infer they are parallel.
7th grade work help please
will give brainliest:)
Answer: 67.27
Step-by-step explanation:
7.1 x 7.1 for the square = 50.41
7.1 divided by 2 = 3.55
3.55 x 4.75= 16.86
Normally here you would divide by 2, but you don’t need two because there is 2 triangles that are the same
Add the 50.41 and the 16.86 and you have your answer!
give answer plzzz fast...
plzzzz it's very important.....
Answer:
-1 + a =0
Step-by-step explanation:
i think hope it right
Answer:
if x = -1 , then the value of a = -15
Step-by-step explanation:
see the attached picture for solution
there are answer choices !
Answer:
1
Step-by-step explanation:
m [slope] = ∆y/∆x = y₂-y₁/x₂-x₁
m [slope] = 9 - 6 / 4 - 1 = 3 / 3 = 1
The equation for this relationship is
y = x + 5
A piece of stpne on Planet Y weighs seven pounds, but on Earth it weighs only 4 pounds.
What would a 130-pound Earthling weigh on Planet Y?
Answer:
227.50
Step-by-step explanation:
Which statements are true about the ordered pair (−1, 5) and the system of equations?
Answer:
Option D is correct answer.
Step-by-step explanation:
We are given the system of equations:
[tex]x+y=4\\x-y=-6[/tex]
Solving the system of equations to find values of x and y
Let:
[tex]x+y=4--eq(1)\\x-y=-6--eq(2)[/tex]
Adding both equations to find value of x
[tex]x+y=4\\x-y=-6\\------\\2x=-2\\x=\frac{-2}{2}\\x=-1[/tex]
So, we get value of x: x=-1
Now, putting value of x: x=-1 into equation 1 to find value of y
[tex]x+y=4\\Putx=-1\\-1+y=4\\y=4+1\\y=5[/tex]
So, we get value of y: y=5
The ordered pair will be: (-1,5)
So, Option D: The ordered pair(-1,5) is a a solution to the system of equations because it makes both equations true is correct choice.
Checking:
Put x=-1 and y=5 in equation 1
[tex]x+y=4\\-1+5=4\\4=4\:True[/tex]
Put x=-1 and y=5 in equation 2
[tex]x-y=-6-1-5=-6\\-6=-6\:\:\:True[/tex]
So, both equations are true.
Therefore, Option D is correct answer.
Alright y'all I'm doing homework and I don't really know what's this answer
Answer:
25 red flowers
Step-by-step explanation:
red yellow
5 10
5 10
5 10
5 10
5 10
red=5+5+5+5+5=25
Help please I’m almost done
Answer:
33 and -39
Step-by-step explanation:
Angle on a straight line = 180
|5x + 15| = 180 and |5x + 15| = -180
5x + 15 = 180
Subtract 15 from both sides;
5x = 165
Divide both sides by 5;
x = 33
5x + 15 = -180
Subtract 15 from both sides;
5x = -195
Divide both sides by 5;
x = -39
-3x + 4 = 6
Find the solutions
Answer:
Use Mathaway and write the equation
Step-by-step explanation:
Answer:
x = -2.3
Step-by-step explanation:
-3x + 4 = 6
Subtract 4 from both sides.
-3x = 2
Divide both sides by -3
x = -2/3
Johnny and Mark's combined age is 26 years old. Johnny is two years older than twice Mark's age. Write a system of equations and solve for each of their ages
m * 2 + 2 = j
Answer:
Mark is 8
Johnny is 18
Step-by-step explanation:
m * 2 = j - 2
26 - 2 = 24
24 / 3 = 8
8 * 2 + 2 = 18
1/5 - 1/6
Plz ans. Fasttt
Answer: 1/30
5 and 6 both have a common factor of 30
30 will be our ned denominator
1/5 needs to be multipliued by 6
(since 5 times 6 is 30)
and
1/6 needs top be multiplied by 5
(since 6 times 5 is 30)
then you get 6/30 - 5/30 and that is just 1/30
Your fi nancial advisor recommends buying a 10-year bond with a face value of $1,000 and an annual coupon of $80. The current interest rate is 7 percent. What might you expect to pay for the bond (aside from b
Answer:
Bond Price= $1,070.24
Step-by-step explanation:
Giving the following information:
Cupon= $80
Number of periods= 10 years
Face value= $1,000
Interest rate= 7%
To calculate the price of the bond, we need to use the following formula:
Bond Price= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]
Bond Price= 80*{[1 - (1.07^-10)] / 0.07} + [1,000 / (1.07^10)]
Bond Price= 561.89 + 508.35
Bond Price= $1,070.24
2.) Put these decimals in order from least to greatest:
2.03, 2.30, 32, 302, .032
NEWPA
This is least to greatest. ζόμπα
Answer:
.032 .302 .32 2.03 2.30
Step-by-step explanation:
2. Name two lines in the diagram.
1)JK, LB
2)MA,JD
3)KC, DA
4)MI,EF
Answer:
answer is third option KC,DA
Is (-1,2) a solution to the following linear equation:
2x + y = 2
Answer:
No
Step-by-step explanation:
plug in the variables into the equation
(x,y)
(-1,2)
2(-1)+2=2
2*-1=-2
-2+2=0
2 does not equal 0 so therefore no, it is not a solution
The organization sent
out 640 invitations to a
fundraiser. Of those
invited 416 attended.
What percent of the
people invited attended
the fundraiser?
Answer: 65%
Step-by-step explanation:
The organization sent out 640 invitations.
416 out of this 640 attended the fundraiser.
The percentage who attended is:
= 416/ 640
= 0.65
= 65%
I need help if you can that would be great thank you
Answer:
Simplifying the expression [tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex] so, there is only one power of each base we get [tex]\mathbf{3^3\:.\:2^2}[/tex]
Option D is correct answer.
Step-by-step explanation:
We need to simply the expression [tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex] so, there is only one power of each base.
Solving:
[tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex]
We can write it as:
[tex]\frac{(3\:.\:2)^5}{3^2.2^3}[/tex]
Now using exponent rule: [tex](a\:.\:b)^m=a^m\:.\:b^n[/tex]
[tex]\frac{3^5\:.\:2^5}{3^2.2^3}[/tex]
Now using the exponent rule: [tex]\frac{a^m}{a^n}=a^{m-n}[/tex] the bases should be same
[tex]3^{5-2}\:.\:2^{5-3}\\=3^3\:.\:2^2[/tex]
So, simplifying the expression [tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex] so, there is only one power of each base we get [tex]\mathbf{3^3\:.\:2^2}[/tex]
Option D is correct answer.
?
Solve for X
9x + 8 = -1
Answer:
x = -1
Step-by-step explanation:
9x + 8 = -1
Subtract 8 from each side
9x + 8-8 = -1-8
9x = -9
Divide each side by 9
9x/9 = -9/9
x = -1
A teacher is writing an exam with 60
questions. If she has finished writing 70% of
the questions, how many questions does she
still need to write?
A) 18
B) 20
C) 30
D) 42
Can smb yk..
Use one or more exponents to write the expression.
Question 2
7 × 7 × 7 × 7
What decimal is equivalent to 4/15
Answer:
0.2667 is the decimal for this
Answer:
0.2bar6
Step-by-step explanation:
The decimal form of 4/15 is 0.2bar6. Divide the numerator by the denominator. 4/15= 0.2666...= 0.2bar(6) In the United States, the repeating decimal is represented with a bar above the repeating decimal.
Which graph represents all the real numbers , x, where x <_ -1
Answer:
BStep-by-step explanation:
it's the answerhope this helpsThe graph of the inequality is the second graph.
Which graph represents all the numbers x ≤ -1?The graph will be a number line, such that we have a closed circle at x = -1, and we shade the region to the left (because x must be smaller than -1).
By looking at the possible options, we can see that the number line that meets this condition is the second one, the graph on the upper right corner.
That is the graph of the inequality: x ≤ -1.
If you want to learn more about inequalities:
https://brainly.com/question/18881247
#SPJ2
Corey thinks that 5 + n means 5 plus a number. Is Corey correct?
Answer:
Yes corey is correct
Step-by-step explanation:
Pls help I need this soon
Can anyone help me understand?? I genuinely don’t understand. Thank you!
9514 1404 393
Answer:
y = (1/4)x^2 -x -4
Step-by-step explanation:
When you are given a focus and a vertex, the equation of a parabola can be written as ...
y = (1/(4p))(x -h)² +k . . . . . . vertex (h, k); focus-vertex distance p
Here, the vertex is (h, k) = (2, -5) and the focus-vertex distance is 1. That means the equation of the parabola in vertex form* is ...
y = (1/4)(x -2)² -5
Expanding this equation, we get ...
y = (1/4)(x² -4x +4) -5 = (1/4)x² -x +1 -5
Then the standard form equation is ...
y = (1/4)x² -x -4
_____
* In the UK, and perhaps other places, the vertex form is referred to as "standard form." You need to be aware of the form that is being requested here. I have answered using the US version of "standard form." YMMV
120 kg in the ratio 3:2
Answer:
72:48
Step-by-step explanation:
Fill in the blanks
1.Estimation means finding a number that is_____enough to the_____answer.
2.Second step in converting is writing the conversion as a______.
3.When converting,the original unit should always be put in the_______.
4.Cancel any units that are both in the_______and denominator.
5.Indentifying the desired______is one of the important things you have to consider in solving word problems involving conversion.
Answer:
1.close
2.fraction
3.word
5.nuimarator
Lily has a collection of stamps. She wants to find out how many
stamps she has without having to count them. According to a recent
report, a stamp has a mass of approximately 1.32 grams. If the total
weight of Lily's stamp collection is 19.8 grams, about how many
stamps are in Lily's stamp collection?
Answer:
Lily has 15 stamps
Step-by-step explanation:
You would divide 19.8 by 1.32 to get 15.
*Please give Brainliest to the person on top. They said the answer first. :)
Write 8 as a product of primes.
Use index notation
Answer:
2³
Step-by-step explanation:
8 = 2 × 2 × 2 = 2³