Answer:
$60
Step-by-step explanation:
2 T-shirts = $15
Longer version
15/2 = $7.50
1 T- shirt = $7.50
7.50*8 = $60
Short version
2 T-shirts = $15
bought 8 so 8/2 = 4
4*15= 60
A horticulturist wants to improve the soil quality in a garden by adding 120 pounds of nitrogen and 54 pounds of potassium. A pack of organic fertilizer contains 2 pounds of nitrogen and 3 pounds of potassium, and a pack of inorganic fertilizer contains 6 pounds of nitrogen and 2 pounds of potassium. How many packs of each type of fertilizer does the horticulturalist need to use? (Hint Write an equation for the total amount of nitrogen (120 pounds) obtained by adding the packs of both the fertilizers and another equation for the total amount of potassium (54 pounds) obtained by adding the packs of both the fertilizers.)
A organic fertilizer: 24 packs; inorganic fertilizer: 12 packs
B. organic fertilizer: 14 packs; inorganic fertilizer: 6 packs
C organic fertilizer: 15 packs; inorganic fertilizer: 8 packs
D. organic fertilizer: 9 packs; inorganic fertilizer: 17 packs
Е. organic fertilizer: 6 packs; inorganic fertilizer: 18 packs
x and y are the packs of organic and inorganic fertilizer, respectively.
pounds of nitrogen added = 2x + 6y = 120
pounds of potassium added = 3x + 2y = 54
eliminate the y terms. subtract the first equation from 3 times the second equation.
9x + 6y = 162
-2x - 6y = -120
------------------
7x = 42
x = 6
y = 18
Veronica bought 20 bags of candy for a school dance. The first 5 bags cost $1.79 each. The rest of the bags cost $1.19 each.
How much did Veronica spend on candy?
A. 8.95
B. 17.90
C. 26.80
D. 35.80
Answer:
Your answer is C. 26.8
Step-by-step explanation:
5 × 1.79 = 8.95
15 × 1.19 = 17.85
8.95 + 17.85 = 26.8
Answer: C ($26.80)
Step-by-step explanation:
This is a multiplication problem.
The first 5 bags of candy cost $1.79 each, so we multiply the cost by the amount of bags that we bought for that price:
5 * 1.79 = $8.95
The rest of the bags cost $1.19 each, so we need to multiply this number by some value. To find this value, we need to know how many bags we have left. We already bought 5, and we bought a total of 20, so we need to buy:
20 - 5 = 15 bags
Multiplying the cost for the rest of the bags (1.19) by the amount of bags we need to buy still (15), we get:
15 * 1.19 = $17.85
Now we know what the cost of the first 5 bags (8.95), and we know the cost of the 15 other bags (17.85). To find the total amount of money Veronica spent, we can just add these two values together.
8.95 + 17.85 = $26.80
This total cost is shown in answer C, so that is the answer.
8 True or False: The substitution method is a method of solving systems of equations by adding equations together in such a way that the variables are set aside, one by one.
Answer: I personally think it's true but I am not for sure
Step-by-step explanation:
Evaluate the following for f(-2)
F(x)=3x+2
Answer:
f(-2) = -4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 3x + 2
f(-2) is x = -2
Step 2: Evaluate
Substitute in x: f(-2) = 3(-2) + 2Multiply: f(-2) = -6 + 2Add: f(-2) = -4Answer 4
Step-by-step explanation:
3(-2)= -6
-6+2= -4
Write the equation y = mx + b of a line given two points.
Ex 1.(3,3) and (4,-2)
Ex 2. (4,1) and (6,2)
Answer:
Ex 1. y= -5.00x + 18.00 Ex 2. y= 0.50x + -1.00
Step-by-step explanation:
(results are in decimal form, rounded to the nearest 100th)
What are the four quadrants for graphing ???????
Plsssssssssssssss help me
Answer: its in the pic
Step-by-step explanation:
Answer:
for a straight line graph,pick two points on the graph - The gradient of the line =(change in y-coordinate)/change in x-coordinate)You can,also use dis to find the equation of the line Since the line crosses the y-axis when y=3 , the equation of the graph is y=1/2x +3
There are 10 fruits in a basket and 5 of them are apples. Write the ratio in simplest form.
Answer:
10:5= 2:1
Step-by-step explanation:
Hope this helped!! Give brainliest..
Answer:
If the ratio is 10:5 your answer would be 2:1
Step-by-step explanation:
Point O is on line segment NP . Given NP=18 and , NO=10, determine the length OP .
a carton of orange juice contains 540ml a special offer carton contains an extra 35% how many millilitres are in the special offer carton?
The carton contains 729 mL.
What is the Fraction?Fractions represent equal parts of a whole or a collection. Fraction of a whole: When we divide a whole into equal parts, each part is a fraction of the whole.
How to solve it?We have.
540mL x .35 = 189 mL
189 mL + 540 mL = 729 mL
The carton contains 729 mL.
Learn more about Fractions:
brainly.com/question/1369626
#SPJ2
F. The relationship between x and y is not a straight line.
Does anyone know the answer??
Answer:
[tex]y=\frac{1}{3}x-1[/tex]
As the line equation represents a straight line, so the relationship between x and y is a straight line.
Therefore, option E is true.
Step-by-step explanation:
Taking two points from the given line
(3, 0)(-3, -2)Finding the slope between two points
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(3,\:0\right),\:\left(x_2,\:y_2\right)=\left(-3,\:-2\right)[/tex]
[tex]m=\frac{-2-0}{-3-3}[/tex]
[tex]m=\frac{1}{3}[/tex]
From the graph, the y-intercept can be calculated by setting the x=0 and then check the corresponding value of y.
at x = 0, y=-1
Thus, the y-intercept = -1
We know that the slope-intercept form is
[tex]y=mx+b[/tex]
where m is the slope, and b is the y-intercept
substituting the values of m=1/3 and the y-intercept b = -1
[tex]y=mx+b[/tex]
[tex]y=\frac{1}{3}x+\left(-1\right)[/tex]
[tex]y=\frac{1}{3}x-1[/tex]
As the line equation represents a straight line, so the relationship between x and y is a straight line.
Therefore, option E is true.
A mini toy helicopter ascends 50 feet vertically, then flies horizontally 200 feet. Find the angle of elevation to the helicopter now as seen by an observer at the takeoff point.
Answer:
the answer is 250
Step-by-step explanation:
Answer:
10.036
Step-by-step explanation:
Remark
Draw a triangle starting with a vertical line that goes from (0,0) to (0,50).
At the point (0,50) draw a horizontal line to (200,50)
Join the point (200,50) to (0,0)
What you have is an upside down right triangle. At the point (200,50) your job is to find the angle at the vertex point.
That angle is the same as the angle of elevation.
The horizontal line is 200 feet.
The vertical line is 50 feet
Formula
Tan(angle elevation) = o/a = 50/200 = 1/4 = 0.25
Solution
tan-1(0.25) = 14.036
Conclusion
The reason you use the top angle is because you only need to do one calculation. It gives the angle of elevation because the x axis and the 200 feet are parallel. The angles are in a z formation. so the angle you found and the angle of elevation are the 2 angles defined by the z.
Find the missing side, round to the nearest tenth.
15
х
30*
Answer:
45
Step-by-step explanation:
15*30 is 450 rounded down is 45
What are the gradients (slopes) and y-intercepts of these lines, please?
Answer:
a. gradient 4
b. gradient 3
c. gradient 1
d. gradient 1
e. gradient -2
f. gradient 3
Step-by-step explanation:
to find y intercept substitute x to be 0
i.e y=3x
y=0
WILL GIVE BRAINLIEST
Answer:
the answer is A
Step-by-step explanation:
4. 8(0 - 9) = 6(2 - 12) - 40
Answer:
[tex]False[/tex]
Step-by-step explanation:
[tex]--------------------------------------------[/tex]
[tex]8\left(0-9\right)[/tex] = [tex]-72[/tex]
[tex]6\left(2-12\right)-40[/tex] = [tex]-100[/tex]
[tex]Does[/tex] [tex]-72[/tex] [tex]equal[/tex] [tex]-100?[/tex]
[tex]N[/tex] [tex]O[/tex]
[tex]So[/tex], [tex]the[/tex] [tex]answer[/tex] [tex]is[/tex] [tex]false.[/tex]
[tex]--------------------------------------------[/tex]
Hope this helps! <3
[tex]--------------------------------------------[/tex]
In a 3 digit number, the tens digit equals to the sum of the hundreds digit and the units digit. The hundreds digit of this number is 3 more than the units digit. If the digits were reserved, the new number is 11 less than half of the original number. Find the original number. Brainly
Answer:
The original number is 572.
Step-by-step explanation:
Let the 3 digit number by xyz.
Where x is the hundreds digit, y is the tens digit and z is the units digit.
Hence, the digit is (100x + 10y + z).
From the question, the tens digit equals to the sum of the hundreds digit and the units digit.
That is,
y = x + z ...... (1)
Also, from the question, the hundreds digit of this number is 3 more than the units digit.
That is,
x = z + 3 ...... (2)
Also, from the question, If the digits were reserved, the new number is 11 less than half of the original number
If the digit were reversed, that is xyz becomes zyx. Then, the new number is (100z + 10y + x).
the new number is 11 less than half of the original number
That is,
(100z + 10y + x) + 11 = 1/2(100x + 10y + z)
This becomes
200z + 20y + 2x + 22 = 100x + 10y + z
200z - z +20y -10y +2x - 100x = -22
199z + 10y -98x = -22 ...... (3)
Solving the equations simultaneously,
Put the value of x in equation (2) into equation (1)
x = z + 3 ...... (2)
y = x + z ...... (1)
That is,
y = (z+3) + z
y = 2z + 3 ...... (4)
Put the value of y in equation (4) into equation (3)
199z + 10y -98x = -22
199z + 10(2z +3) -98x = -22
199z + 20z + 30 -98x = -22
219z -98x = -22-30
219z -98x = -52 ...... (6)
Put the value of x in equation (2) into equation (6)
219z -98(z+3) = -52
219z -98z -294 = -52
121z = -52 + 294
121z= 242
z = 242/121
∴ z = 2
Put the value of z into equation (2)
x = z + 3
x = 2 + 3
∴ x = 5
Put the values of z and x into equation (1)
y = x + z
y = 5 + 2
∴ y = 7
Hence, x = 5, y = 7 and z = 2.
Recall that the original number is 100x + 10y + z.
100x + 10y + z = 100(5) + 10(7) +2 = 500 + 70 + 2 = 572
Hence, the original number is 572.
[tex]I need help can someone help? I’m really stuck and it’s so really soon! I need to show my work[/tex]
Help please i dont get thiss
Answer:
4/6
Step-by-step explanation:
just keep in multiplying the fraction upp and down
-21+(-59) what is the answer
Answer:
-80
Step-by-step explanation:
jerry started doing sit ups everyday. the first day he did 19 sit-ups. everyday after he did 4 more sit-ups than he had than the previous day. Today jerry did 81 sit-ups. write an equation that could be solved to find the number of days jerry has been doing sit-ups, not counting the first day. let n represent number of days.
Answer:
157
Step-by-step explanation:
Answer:
can you explain what two number you added to get that number "157"
Step-by-step explanation:
The perimeter of the picture is
36 inches. What is the height of
the picture?
Х
8 inches
Answer:
x = 10 inches
Step-by-step explanation:
P = 2 x (L + W)
36 inches = 2 x (8 + W)
36 = 16 + 2W
2W = 20
W = 10 inches
⚠️How do I solve this in descending order⚠️
2g+40g
Side info: so I know the answer is technically 42g but I also know that I have to do this in descending order so just need help with that check notifications I might ⚠️ comment ⚠️
Juan paid $42 in taxi fare from the hotel to the airport. The cab charged a $7 initial fee plus $2.50 for each additional mile. How many miles was it from the hotel to the airport?
Answer:
It was 14 miles from the hotel to the airport.
Step-by-step explanation:
From the information given, the taxi fair is equal to the initial fee plus the result of multiplying the price per mile for the number of miles, which is:
t=7+2.50x, where:
t is the taxi fair
x is the number of miles
Now, you can replace t with 42 and solve for x to find the miles:
42=7+2.50x
42-7=2.50x
35=2.50x
x=35/2.50
x=14
According to this, the answer is that it was 14 miles from the hotel to the airport.
(-3, 1), (-17, 2) find the slope show the work
Answer:
1/-14 or -0.071428571428571
Step-by-step explanation
(-3,1) ___ -3 is x1 while 1 is y1
(-17, 2) ___ -17 is x2 while 2 is y2
slope formula is m = y2-y1/x2-x1
plug them in: m = 2-1/-17-(-3), which equals 1/-14 or -0.071428571428571
Write the equation of the line that passes through the points (7,4) and (-1, 3), first in point-slope form, and then in
slope-intercept form.
The slope of the line is
When the point (7,-4) is used, the point-slope form of the line is
The slope-intercept form of the line is
Answer:
y = 1/8x + 25/8
Step-by-step explanation:
April took out a $600 loan from the bank. At the end of 5 years, she pays back the principal, plus $60 simple interest.
What was the annual interest rate?
Answer:
2%
Step-by-step explanation:
Solve for side BA
(show your work)
Answer:
The length of AB is 25.6 mi.
Step-by-step explanation:
You have to apply Sine Rule :
[tex] \frac{AB}{ \sin(90) } = \frac{22.6}{ \sin(62) } [/tex]
[tex]AB = \frac{22.6}{ \sin(62) } \times \sin(90) [/tex]
[tex]AB = 25.6 \: mi \: \: (3s.f)[/tex]
PLEASE HELP ASAP!
A cheese wheel has a circumference of 18π in and an area of 81π in2. A sector of the wheel with an arc length of 3π in is removed. What is the area of this sector?
a) 6π in2
b) 486 in2
c) 13.5π in2
d) π6 in2
Answer:
13.5π in2
Step-by-step explanation:
just took the quick check
An object launched straight puwar from the ground level wiht an initional velocity of 32 feet per second.The formula H=32T-16T^2 gives it heigtht,h,in feet after t second. At what time does the object hit the ground?
Answer:
2 secs after
Step-by-step explanation:
Given the height of the object modeled by the eqaution;
H(t) = 32T - 16T² where;
T is the time in seconds
The object hits the ground when h(t)= 0
Substitute H = 0 into the equation and get t as shown;
0 = 32T - 16T²
0-32T = -16T²
-32T = -16T²
32T = 16T²
32 = 16T
T = 32/16
T = 2secs
Hence the object hits the ground after 2 secs
CAN SOMEONE THAT IS VERY GOOD IN MATH HELP ME
Answer:
2. 2/1 is the ratio of seltzer to juice. It means that there is twice as much seltzer as there is juice.
3. (2,4) represents the amount of seltzer and juice. At this point there are 4 cups of seltzer, and two cups of juice.
4. (1,2) can be used to find the constant of proportionality and slope.
5. y=2x
6. y=2*15
y=30
Step-by-step explanation:
If you need explanations for any of these let me know, and I'll add them.
