Question:
If one basket contains five bottles each weighing 7 1/4 and the other basket has six apples each weighing 6 1/2 ounces. Which basket is heavier and by how much ?
Answer:
The basket of bottles weighs more than the basket of apples by [tex]3\frac{3}{4}[/tex] ounces
Step-by-step explanation:
Given
[tex]Bottles = 5[/tex]
[tex]Weight(Bottle) = 7\frac{1}{4}[/tex]
[tex]Apples = 6[/tex]
[tex]Weight(Apple) = 6\frac{1}{2}[/tex]
Required
Determine which basket is heavy
and by how much?
First, we need the total weight of each basket.
For the bottles' basket
[tex]Total\ Weight = Weight * Bottles[/tex]
[tex]Total\ Weight = 7\frac{1}{4} * 5[/tex]
[tex]Total\ Weight = \frac{29}{4} * 5[/tex]
[tex]Total\ Weight = \frac{29 * 5}{4}[/tex]
[tex]Total\ Weight = \frac{145}{4}[/tex]
[tex]Total\ Weight = 36\frac{1}{4}[/tex]
For the bottles' basket
[tex]Total\ Weight = Weight * Apples[/tex]
[tex]Total\ Weight = 6\frac{1}{2} * 5[/tex]
[tex]Total\ Weight = \frac{13}{2} * 5[/tex]
[tex]Total\ Weight = \frac{13* 5}{2}[/tex]
[tex]Total\ Weight = \frac{65}{2}[/tex]
[tex]Total\ Weight = 32\frac{1}{2}[/tex]
By comparing both total weights, [tex]36\frac{1}{4} > 32\frac{1}{2}[/tex]
Hence:
The basket of bottles weighs more than the basket of apples
Calculating the difference:
[tex]Difference = 36\frac{1}{4} - 32\frac{1}{2}[/tex]
[tex]Difference = \frac{145}{4} - \frac{65}{2}[/tex]
[tex]Difference = \frac{145 - 130}{4}[/tex]
[tex]Difference = \frac{15}{4}[/tex]
[tex]Difference = 3\frac{3}{4}[/tex]
Hence:
It weighs more by [tex]3\frac{3}{4}[/tex] ounces
If a polynomial function f(x) has roots –8, 1, and 6i, what must also be a root of f(x)? –6 –6i 6 – i 6
Answer: -6i
Step-by-step explanation:
What is the slope of the line in the figure
Answer:
2/3
Step-by-step explanation:
Answer:
-3/2
Step-by-step explanation:
Please help!! I really need it.
HELP I ONLY HAVE 5 MIN TO TURN THIS IN!!!!!!!!!!!
What are the simplified versions of the expressions shown below
WILL MARKBRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
see below
Step-by-step explanation:
1. (x² - 4x - 10) + (x² - 9x + 3)
= x² - 4x - 10 + x² - 9x + 3
= x² + x² - 4x - 9x + 3 - 10
= 2x² - 13x - 74. (3x² - x + 1) + (15 - 9x - 2x²)
= 3x² - x + 1 + 15 - 9x - 2x²
= 3x² - 2x² - x - 9x + 1 + 15
= x² - 10x + 167. (6 - 2x + 7x²) - (10x - 3 + 3x²)
= 6 - 2x + 7x² - 10x + 3 - 3x²
= 7x² - 3x² - 2x - 10x + 6 + 3
= 4x² - 12x + 9what would be the measure of angle A?
A. 70 degrees
B. 79 degrees
C. 55 degrees
D. 44 degrees
Answer:
D because that is the smallest angle on there baby doll
Step-by-step explanation:
have a nice day sugar bear
Answer:
D
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
4x + 8x - 9 + 57 = 180, that is
12x + 48 = 180 ( subtract 48 from both sides )
12x = 132 ( divide both sides by 12 )
x = 11
Thus
∠ A = 4x = 4 × 11 = 44° → D
Does the system have a no solution or infinitely many solutions
Y=2/3x+2-2x+3y=6
Answer:
answer for y=2/3x+2: y=2/3x+2
answer for -2x+3y=6: x=3/2y-3
pls give brainliest
Answer:
There are infinitely many solutions.
Step-by-step explanation:
There are infinitely many solutions because if you solve the equations, you will find that both of the equations are actually the same, so there is infinitely many solutions.
Showing that both equations are equal: y=2/3x+2 -2x+3y=6
y=2/3x+2 Multiply by 3 on both sides
3y=2x+6 Rearrange (-2x on both sides)
3y-2x=6 More rearrangement
-2x+3y=6 Now, if you look back at the second equation, you will see that they are both the same.
What is -3+7 please help
Answer:
It is 4.
Thank you and please rate me as brainliest as it will help me to level up
Is 0z=2 no solution?
Answer:
No
Step-by-step explanation:
PLEASE HELP ME ON NUMBER 5
Answer:
Hebrew National since the cost is only 0.73
Step-by-step explanation:
First we need to identify the cost of each hotdog for each brand. I'll go by in order.
Ball Park:
We know that it cost $6.95 and it's 8 dogs for each one. Meaning all we have to do is divide the price by the amount of hot dogs.
"Price/Hotdogs per package"
In order
6.95/8=0.86875 or 0.87
8.20/10=0.82
7.35/8=0.91875 or 0.92
17.50/24=0.7291666 or 0.73
Since we're dealing with currency we would most likely round it by the nearest hundredth so the true answer would be $0.87.
Use this formula that I made for this question for any other questions.
Determine the correct scientific notation form of the number. 627,000,000
Answer:
6.27 x 10 ^ 8
Step-by-step explanation:
which rule describes the transformation? picture below
Answer:
B) rotation 180 degrees about the origin
Step-by-step explanation:
Also, what do the words underneath D) say? I think the answer could also be a reflection across y = x.
Change each fraction or mixed number to a percent.
a.2/5
b.7/20
C. 1 11/16
d. 14 1/4
Answer:
a=40%, b=35%, c=168.75, d=1425
Step-by-step explanation:
a : 2/5=4/10*100=40
b:7/20=35/100*100=35
c: 1 11/16=1.6875*100=168.75
d: 14 1/4=14.25*100=1425
Selection all equations that are true given the diagram below.
Answer:
Opition A I just did it
Step-by-step explanation:
I LIKE YA CUT G
:( I am very dumb please help
Answer:
(1,1)(2,4)(3,9)(4,16)
Step-by-step explanation:
It's not proportional therefore it's not LINEAR.
Answer:
Nonlinear
Step-by-step explanation:
At a basketball game, 3 out of every 10 people who enter the gym will be wearing hats. If 250 people attend the game, about how many of them will probably be wearing hats?
75 people
80 people
65 people
70 people
What is the sum of 52.07 and 8.43?
(Write the answer as a decimal to the nearest tenth.)
The sum of 52.07 and 8.43 which is 52.07 + 8.43 will be 60.50.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The numbers are given below.
52.07 and 8.43
Then the sum of the numbers 52.07 and 8.43 will be given by putting a plus sign between them. Then we have
⇒ 52.07 + 8.43
⇒ 60.50
The value of the expression 52.07 + 8.43 will be 60.50.
More about the Algebra link is given below.
https://brainly.com/question/953809
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Brianna jogs 15 minutes more on Sunday than Saturday. She jogged 26 minutes on Saturday.
a.
How many minutes does she jog on Sunday?
Answer:
41
Step-by-step explanation:
15+26=41
Answer:
41 minutes
Step-by-step explanation:
If she jogged 15 minutes more on Sunday than Saturday, we can find how many minutes she jogged on Sunday by adding 15 to Saturday's amount:
So, add 15 to 26:
15 + 26
= 41
So, she jogged 41 minutes on Sunday.
0.2 - 4/10 - 1.625 =
Enter the answer as an exact decimal or simplified fraction.
Answer:
-33/40
Step-by-step explanation:
Answer:
-1.825 or in fraction form -73/40 or -1 33/40
Please help
Will give brainliest!!!
Answer:
There is one solution.
Step-by-step explanation:
y=2x+2
y=x-1
So 2x+2 = x-1
x = -3
So y = -4
Adding 0 to any number leaves it unchanged. For example a + 0 = a.
Answer:
true
Step-by-step explanation:
❤️✨
Yep that's correct XD
The product of 15 and a number X is -75. Write the equation, and solution for X.
Answer: [tex]x = -5[/tex]
Step-by-step explanation:
If a product of 15 and an unknown number equals -75 the equation should look like this:
[tex]15x = -75[/tex]
Now to solve for x:
1. [tex]\frac{15x}{15} = \frac{-75}{15}[/tex]
2. [tex]x = -5[/tex]
The solution for x is -5.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation. Equal treatment should be given to each party.
Given:
The product of 15 and a number X is -75.
So, the expression is
15x = -75
Now, divide 15 on both side
15x/15= -75/15
x= -5
Hence, the value of x is -5.
Learn more about equation here:
https://brainly.com/question/10413253
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Jeremiah's credit card has an APR of 22% calculated on the previous monthly balance. His credit card record for the last 7 months is shown in the table below. End of Month 1 2 3 4 5 6 Previous Balance $0.00 $255.87 $297.39 $319.80 $318.72 $531.98 $460.64 New Charges $255.87 $156.83 $96.96 $133.05 $267.42 $78.91 $301.48 Payment Received $0.00 $120.00 $80.00 $140.00 $60.00 $160.00 $220.00 Finance Charges $0.00 $4.69 $5.45 $5.86 $5.84 $9.75 $8.45 Principal Paid $0.00 $115.31 $74.55 $134.14 $54,16 $150.25 $211.55 New Balance $255.87 $297.39 $319.80 $318.72 $531.98 $460.64 $550.57 On what amount of money will Jeremiah be charged interest for month 8? A. $550.57 B. $220.00 C. $460.64 D. $301.48
Answer:
550.57
Step-by-step explanation: it is what it is
Is triangle mno similar to triangle pqo explain
Answer:
need more information or a picture please
Step-by-step explanation:
Hey sorry to bother but i need this done as fast as possible. "Solve the system without graphing. Explain in steps. 3x=8+y, 4x-3y=1
Please help for brainlest.
Answer:
3
Step-by-step explanation:
Answer: x=3
Step-by-step explanation:
I just know -.-
8/34=?
can you show the work pls and thank you
The rate at which crickets chirp is a linear function of
temperature. At 60°F they chirp 74 times per minute.
At 72º they chirp 120 times per minute.
a.) Write an equation in slope intercept form that
represents this function.
b.)Predict the number of chirps per minute when the
temperature is 64º.
Answer:
a) [tex]y=\frac{23}{6} x-156[/tex]
b) [tex]\frac{268}{3}[/tex]
Step-by-step explanation:
Formulas for linear equations:
Slope-intercept: [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept
Point-slope: [tex]y-y_1=m(x-x_1)[/tex], where (x₁, y₁) is a point on the function and m is the slope.
a) We are given two points. If you're given two points (x₁, y₁) and (x₂, y₂), the slope m is given by the formula:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Let's mark the temperature on the x-axis, and the number of chirps per minute on the y-axis. So, we have the following points: (60, 74), and (72, 120). Calculating the slope m between these two points:
[tex]m=\frac{120-74}{72-60}[/tex]
[tex]m=\frac{23}{6}[/tex]
Since we have the x and y coordinates of a point on the function, we can write an equation in point-slope form, which will help us to find the y-intercept. We need the y-intercept in order to write the slope intercept form of the equation. We will use the point (60, 74) here, although you can also use (72, 120) if you want.
Point-slope form equation of the linear function:
[tex]y-74=\frac{23}{6} (x-60)[/tex]
Now that we have the point-slope equation of the function, we can find the y-intercept. The y-intercept is the point on the function where the graph crosses the y-axis (when the x-value is 0). So, we plug in 0 for x into the equation and solve for y:
[tex]y-74=\frac{23}{6} (0-60)[/tex]
[tex]y=-230+74[/tex]
[tex]y=-156[/tex]
Now that we have the y-intercept value of the function, we can write an equation in slope-intercept form:
[tex]y=\frac{23}{6} x-156[/tex]
b) Since we marked the temperature on the x-axis, we can just plug in the number 64 as the x-value into the equation we have. y will be the number of chirps per minute when the temperature is 64º.
[tex]y=(\frac{23}{6} *64)-156[/tex]
[tex]y=\frac{736}{3} - \frac{468}{3}[/tex]
[tex]y=\frac{268}{3}[/tex]
If you have any questions, leave a comment below.
Help pleasseeeeeeeeeeeeeeeeeeer
Answer:
4
Step-by-step explanation:
8/12 simplifies to 4/6. so x needs to be 4 for it to work
A ball is thrown straight up from the height of 3 ft with a speed of 32 ft/s. It’s height above the ground after x seconds is given by the quadratic function y = -16x^2+32x+3.
Explain the steps you would use to determine the path of the ball in terms of a transformation of the graph of y=x^2.
Answer:
The given equation has a y-intercept at (0, 3).
y = -16x^2 + 32x + 3 = -16(x^2 - 2x) + 3 = -16(x - 1)^2 + 19. This means the vertex is at (1, 19).
To transform the y = x^2 graph:
First we invert the graph with respect to the x-axis, maxing it a downward parabola y = -x^2.
Next, we move its vertex from the origin (0, 0) to (1, 19), making the equation y = -(x - 1)^2 + 19.
Third, we "expand" the opening of the parabola such that it passes through the y-intercept of (0, 3). The right-side of the parabola should also be expanded similarly, since it is symmetric.
Please help geometry honors