Work Shown:
1 pound = 16 ounces
3 pounds = 48 ounces (multiply both sides by 3)
Based on that, we can then say,
(750 calories)/(10 ounces) = (x calories)/(48 ounces)
750/10 = x/48
75 = x/48
x/48 = 75
x = 48*75
x = 3600
Which ordered pairs make both inequalities true? Select two options.
y < 5x + 2
y ≥ 1/2x + 1
A. (-1,3)
B. (0,2)
C. (1,2)
D. (2,-1)
E. (2,2)
B. (0,2) and E (2,2) are the ordered pairings that allow both inequalities to hold.
What is inequality?In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
We can check which ordered pairs satisfy both inequalities by substituting the x and y values into each inequality and checking if they are both true.
Let's check each option:
A. (-1,3)
The first inequality gives us 3 < 5(-1) + 2, which simplifies to 3 < -3. This is false, so (-1,3) does not satisfy the first inequality.
The second inequality gives us 3 ≥ 1/2(-1) + 1, which simplifies to 3 ≥ 1/2. This is true, so (-1,3) satisfies the second inequality.
B. (0,2)
The first inequality gives us 2 < 5(0) + 2, which simplifies to 2 < 2. This is false, so (0,2) does not satisfy the first inequality.
The second inequality gives us 2 ≥ 1/2(0) + 1, which simplifies to 2 ≥ 1. This is true, so (0,2) satisfies the second inequality.
C. (1,2)
The first inequality gives us 2 < 5(1) + 2, which simplifies to 2 < 7. This is true, so (1,2) satisfies the first inequality.
The second inequality gives us 2 ≥ 1/2(1) + 1, which simplifies to 2 ≥ 3/2. This is true, so (1,2) satisfies the second inequality.
D. (2,-1)
The first inequality gives us -1 < 5(2) + 2, which simplifies to -1 < 12. This is true, so (2,-1) satisfies the first inequality.
The second inequality gives us -1 ≥ 1/2(2) + 1, which simplifies to -1 ≥ 2. This is false, so (2,-1) does not satisfy the second inequality.
E. (2,2)
The first inequality gives us 2 < 5(2) + 2, which simplifies to 2 < 12. This is true, so (2,2) satisfies the first inequality.
The second inequality gives us 2 ≥ 1/2(2) + 1, which simplifies to 2 ≥ 2. This is true, so (2,2) satisfies the second inequality.
Therefore, the ordered pairs that make both inequalities true are B. (0,2) and E. (2,2).
Learn more about inequalities here:
https://brainly.com/question/30231190
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Option 1: 1,811 square feet, 2-3 bedroom, 2 bath house that arrives in 4 modules. It includes the upgraded PEX piping and fiber cement siding that Xavier saw on the tour. The price for Option 1 would be $180 per square foot.
Option 2: 2,600 square feet, 3-4 bedroom, 3 bath house that arrives in 5 modules. It also includes the upgraded PEX piping and fiber cement siding. The price for Option 2 is $195 per square foot.
Calculate Xavier’s transportation cost to have the modules delivered on the same day
Use this formula to calculate Xavier’s cost:
[(.20 × miles)+500]× number of modules
If the price is $180 per square foot, the price of the lot will be $3,240,000
To calculate Xavier cost, we need to first calculate the area of the lot (trapezium)
Area of the trapzium = 1/2(a+b)h
h is the height of the trapeziuma and b are the sidesArea of the trapezium = 1/2(175+185)*100
Area of the trapezium = 1/2(360)*100
Area of the trapezium = 18000 square foot.
If the price is $180 per square foot, the price of the lot will be 18000 * 180 = $3,240,000
Learn more on area of trapezium here: https://brainly.com/question/16904048
A football team has a net yardage of −30 1 3 yards on a series of plays. The team needs a net yardage of 10 yards to get a first down. How many yards do they have to get on their next play to get a first down?
Answer:
36 yards
Step-by-step explanation:
10 yards needed minus 30 then add 1 and 3 and you have your answer
The surface of an office desk has a perimeter of 12 feet and an area of 8 square feet. What are the dimensions of the desk?
____feet by ___feet
HELP ME PLEASEE!
Answer:
4 feet by 2 feet ig? am not quit sure
Step-by-step explanation:
we say that length=x width=y
2(x+y)=12
xy=8 x=8/y
2(8/y + y)=12
8/y+y^2=6y
y^2-6y+8=0
(y-2)(y-4), so y=2 y=4
then we input this two numbers in xy=8
so, x=4 x=2
1, y=2 x=4
2, y=4 x=2
most likely the lengths is going to be 4 so that means the width is going to be 2.
guyssss please help me with this maths problem it's from coordinates I hope you will help me I literally need this one pls will give 8 points
Answer:
find the perpendicular of the angle of pole
Henry can write 5 55 pages of his novel in 3 33 hours.how many pages can Henry write in 8 88 hours?
mr John wants to put a fence around his farm. if the length of one side is 25m and the width is the same length what would be the amount of fencing needed?
Answer:
100 meters
Step-by-step explanation:
4 sides
1 side = 25 m
25m = width as well
so just multiply 25 by 4 to get your answer
Mr John needs to focus on outlining the width and length of the farm. Based on the length and width being the same length, the shape of the farm is a square. To make things simple, multiply the length of one side by four and you will have the exact amount needed to place a fence.
25m x 4 = 100m
So, Mr John needs about 100m of fencing to complete the construction of the fence surrounding his farm.
write 1+√-32/4 as a complex number in the form a + bi, where a and b are real numbers.
a. 1/4+1/2√2i
b. 1/4+1/4√2i
c. 1/4+√2i
d. 1/4+4√2i
Work Shown:
[tex]\frac{1+\sqrt{-32}}{4}\\\\\frac{1+\sqrt{-1*16*2}}{4}\\\\\frac{1+\sqrt{-1}*\sqrt{16}*\sqrt{2}}{4}\\\\\frac{1+i*4*\sqrt{2}}{4}\\\\\frac{1+4i*\sqrt{2}}{4}\\\\\frac{1}{4}+\frac{4i*\sqrt{2}}{4}\\\\\boldsymbol{\frac{1}{4}+i\sqrt{2}}\\\\[/tex]
This matches with choice C. The imaginary 'i' term is not under the square root.
Which is a better buy?
Answer:
four pack of notebooks for $4.56
Answer:
the 3-pack of note books for 3.33
Step-by-step explanation:
hope this helped have a great day!
a) work out the size of angle x.
b) give reasons for your answer.
Answer:
x = 75°
Step-by-step explanation:
180° - 105° = 75°
75° = 75°
Line CG is 180°. The angle of 105° is on this line, and we know that ∠F + 105° = 180° so we can subtract 105° from 180° to find ∠F. Next, ∠F and ∠x are corresponding angles, so they will be equal.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
what is the area of the rectangle.
Answer:
54 units^2
Step-by-step explanation:
I have no idea how to do this, pls help. Question in the picture. Please show your work. Thanks!
Answer:
C
Step-by-step explanation:
This is a stem and leaf plot. If you don't know what a stem and leaf plot is, try searching it before coming back and viewing the solution. I also see an "example" button. It might help to hit that too.
First, we sort the list of numbers. Here is what we get:
64, 66, 67, 68, 69, 74, 75, 76, 78, 79
Here, the stems are the tens digits and the leaves are the ones digits.
Therefore, for the stem 6, the leaves are:
4, 6, 7, 8, 9
For the stem 7, the leaves are:
4, 5, 6, 8, 9
The answer, I believe, is C
What is?..
1. 8 4/7 divided by 15?
2. How many 1/4-pound hamburgers can you make from 3 1/2 pounds of ground beef ?(In simplest form)
3. 3 divided by 1 1/5 plus 1/3? (Evaluate the expression. Write the answer in simplest form.)
4. 2/5 plus 2 1/6 divided by 5/6? (Evaluate the expression. Write the answer in simplest form.)
5. 6 1/2 - 7/8 divided by 5 11/16? (Evaluate the expression. Write the answer in simplest form.)
HURRYYYYYY PLEASEEEE.
Answers:
1. 4/7
2. DIVIDE – 3 ½ ÷ ¼ = 14 hamburgers
3. 2 5/6
4. 3
5. 6 9/26
Evaluate the function.
f(t)=-2t - 1; Find f(-9)
Answer:
17
Step-by-step explanation:
substitute t = - 9 into f(t) , that is
f(- 9) = - 2(- 9) - 1 = 18 - 1 = 17
whats the equation? for the problem
Answer: YOU DONT GIVE THE PROBLEM
Step-by-step explanation:
1 point 36. The length of a rectangle shape is 7.5 cm and the with is 3 cm. What is the area of the shape? OA A). 22.5 cm B). 23 cm O C). 22.5 cm D). 23 cm
Answer:
A). and C). 22.5 cm
Hope it helps:)
Find the product and simplify answer -3a^3(7a^4 - 5a + 5)
[tex]-3a^3(7a^4 - 5a + 5)\\\\=-21a^7+15a^4-15a^3[/tex]
Determine the range of the following graph:
Answer: -5 to 8
Step-by-step explanation: We are looking at the y value of each point on the graph, therefore any y value that falls on the line is part of the range
You are a civil engineer working on the design of a new
green space in your city. The space will include gardens,
playgrounds, and picnic areas. One section of the park will
be in the shape of a right triangle. A diagram of the
requirements for the triangular space is shown below.
2x+2 yards
2x yards
2x+4 yards
1. Explain what you know about the space you will be designing. List at least three pieces
of information. (2 points)
Parallel lines : mastery test
Answer:
I can't see much so take one more than I can help
à
A recipe calls for 1.25 cups of brown sugar to make a batch
of cookies. How many cups of brown sugar are needed for
5 batches of cookies?
The number of football games with a score less than or equal to 29 is equal to half the number of basketball games with a score greater than or equal to
.
For both sports, if the only games won were those with scores of 30 or higher, how many more basketball games were won compared to football games won?
What is the difference between the total maximum possible points scored by the basketball team last year and the total maximum possible points scored by the football team last year?
points
Answer:
basketball player scored 40 points in a game. The number of three-point field goals the player made was 22 less than three times the number of free throws (each worth 1 point). Twice the number of two point field goals the player made was 11 more than the number of three point field goals made. Find the number of free-throws, two point field goals, and three point field goals that the player made in the game.
Once I have the equations I understand how to do the problem, but I am obviously doing something wrong because each time I write out the equations I end up getting fractions.
Factor the following.
Answer:
5. x(x+4)
6. 7x(x-3)
7. 12x(x+5)
8. 4x(2x+5)
-2.8f+0.9f-13-8 please simplify this
Answer: -1.9f - 21
Step-by-step explanation:
Combined the like terms.
Correct me if I am incorrect.
find the circumference r = 5 cm c [?] cm c=d
Step-by-step explanation:
radius of circle =5 cm
circumference of a circle =2πr
=2π×5
=10π=10×3.14
circumference=31.4 cm
Which is an equation of a line parallel to y=7x−3 that has a y-intercept of 5?
XxxxAnswer:
Step-by-step explanation:xdd
Can you guys help me find the sum TnT
(7−b)+(3b+2)
Answer:
2b+9
Step-by-step explanation:
Help Ill give 100 points!
Answer:
0, 1, 1/2
Step-by-step explanation:
First you would have to make them have the same denominators.
The lowest one they share is 24.
What ever you do to the bottom you have to do to the bottom.
1/6, times each by 4.
1 * 4 = 4
6 * 4 = 24
4/24.
Now you have to do the same thnig for 5/8.
But times it by 3, since 8 times 3 is 24.
5 * 3 = 15
8 * 3 = 24
15/24
Now subtract.
15 - 4 = 11/24
the difference is close to one half.
4/24 = 1/6 is close to 0.
15/24 = 5/8 is close to 1.
Answer:
i need the points
Step-by-step explanation:
HELP PLS i need it rn about reflections
Answer:
x = 1
Step-by-step explanation:
The total amount Y (in dollars) in your savings account after buying x video games is represented by y=70−10x . You have $40 in your account after buying video games. How many video games did you buy?
Answer:
330
Step-by-step explanation:
substitute x for 40 because that is how much you have in your account.
y= 70 - 10(40)
y = 70 - 400
y = 330
Therefore you bought 330 video games!!
Hope this helps, please tell me if I am wrong, I love learning from my mistakes:)