Answer:
$17.64
Step-by-step explanation:
Multiply 7.84 by 2.25
7.84 x 2.25 = 17.64
Answer:
$17.64
Step-by-step explanation:
1 pound salmon = 7.84
2.25 (2 1/4) pound salmon = 17.64
A box is to be made using a 6ft by 8ft piece of cardboard by cutting a square from each corner and folding up the sides. What is the maximum volume that can be obtained? Round your answer to the nearest hundredth.
Answer:
Step-by-step explanation:The walker family uses 45 pounds of crisped rice cereal per year. 1.55 pounds they save by buying the 18-oz. box for $3.50 rather than the 12-oz. box for $2.75 by using unitary method.
What is called pound?
A pound is a unit of weight used mainly in Britain, America, and other countries where English is spoken. One pound is equal to around 0.454 kilograms. A pound of something is a quantity of it that weighs one pound.
For this, we get the unit price per ounce of each.
3.50/ 18 = 0.1944 unit
2.75 / 12 = 0.229 unit
The walker family uses 45 pounds of crisped rice cereal per year 45 ×0.1944=8.74845 ×0.229= 10.305.
Thus ,they save 10.305 - 8.75 = 1.55
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Which value of x is the solution of the equation 2(x - 4) + 7 = 3?
so the answer is x=2
Answer:
x=2
Step-by-step explanation:
2(x-4)+7=3
First, multiply the 2 to x-4.
2x-8+7=3
Simplify.
2x-1=3
Add x on both sides.
2x=4
Divide 2 on both sides.
x=2
Please help I’m desperate fr, I hate math too
Option C is the next step to construct a congruent angle.
What is congruency?In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
Given Data
R makes the same angle with PQ and QR.
Option C is the next step to construct a congruent angle.
Steps to construct congruent triangle:
1) Each of the three sides is equal (SSS: side, side, side)
2) A comparable side and two angles are the same (ASA: angle, side, angle)
3) Both the angle between the two sides and the two sides' dimensions are equal (SAS: side, angle, side)
4) The hypotenuse, the corresponding side, and a right angle are all equal (RHS, right angle, hypotenuse, side).
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Isaac's kitchen has an area of 54 square feet. The kitchen is 9 times as many square feet as Isaac's pantry. If the pantry is 2 feet wide, what is the length of the pantry?
Answer:
3 Feet
Step-by-step explanation:
Issac's Kitchen Area - 54 sqft
Issac's Pantry Area - 54/9 = 6 sqft (His pantry is 9x smaller than his kitchen)
[tex]area = length * width[/tex]
Here we have the total area and the width, so we can substitute for finding the length:
[tex]6 = length * 2\\ \\ = > \frac{6}{2} = length\\ \\ = > length = 3[/tex]
Hence is pantry is 3 feet long.
need help pls
#i love brainly
Answer:
x=10
Step-by-step explanation:
48=6x-12
60=6x
x=10
I need help for Finding the distance between points G and W. please!!!
Which fractions are equivalent to 0.48? Select all that apply.
Answer:
Number
Step-by-step explanation:
48 divided by 100 equals .48
plss solve this having big trouble will give brainiest n 55points
Considering that a transversal line cuts two parallel lines, the relations between the angles are given as follows:
1. Corresponding angles.
2. Alternate exterior angles.
3. Consecutive interior angles.
What is the relationship between angles 1 and 3?Angles 1 and 3 are corresponding angles, as they are both at the same position relative to their lines, j for angle 1 and m for angle 3, being cut by the transversal line t.
What is the relationship between angles 8 and 4?Angles 4 and 8 are alternate exterior angles, as:
Angle 4 is to the left of the transversal line t and below it's line m.Angle 8 is to the right of the transversal line t and above it's line m.Inverse positions in both senses, left/right and up/down, hence alternate exterior angles.
What is the relationship between angles 2 and 3?Angles 2 and 3 form a supplementary pair inside the same region, between the two lines being cut by the transversal, hence they are consecutive interior angles.
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I have an isosceles triangle. the height drawn on the base is 2.5 cm and the height drawn on the side is 3 cm. help calculate the base angle of a triangle
Answer:
56.4 degrees
Step-by-step explanation:
You can make a right-angle triangle from the isosceles triangle, with height 2.5cm and hypotenuse 3cm.
You have the opposite side to the angle and the hypotenuse, so you use sin x = Opposite/Hypotenuse
sin x = 2.5/3
x = [tex]sin^{-1}[/tex] (2.5/3)
x = 56.44269024
Therefore the base angle of the triangle is 56.4 degrees (3sf)
Morgan scored 41 points in 3 games. How many points would you expect him to make in an 11 game season?
Morgan will score 150.7 points in 11 season
How to calculate the number of points that Morgan will score ?The first step is to calculate the number of point that Morgan will score in one season
41= 3
x= 1
cross multiply both sides
3x= 41
x= 41/3
x= 13.7
The number of points he will score in 11 game season can be calculated as follows
= 13.7 × 11
= 150.7
Hence Morgan will score 150.7 points in 11 game season
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Solve the quadratic equation by completing the square.x²-12x+30=0
In order to solve this quadratic equation by completing the square, let's analyse the coefficient b by comparing the equation with the standard form:
[tex]y=ax^2+bx+c[/tex]We have b = -12. In order to be a perfect square, the coefficient c needs to be (-12/2)^2 = (-6)^2 = 36
We already have 30, so we just need to add 6:
[tex]\begin{gathered} x^2-12x+30=0 \\ x^2-12x+30+6-6=0 \\ x^2-12x+36-6=0 \\ (x-6)^2-6=0 \\ (x-6)^2=6 \\ x-6=\pm\sqrt[]{6} \\ x_1=6+\sqrt[]{6} \\ x_2=6-\sqrt[]{6} \end{gathered}[/tex]You recently opened your checking account with Eagles Bank on October 1 using
$150.00.
Complete the checkbook register using the following transactions then explain how you
completed the first four transactions
October 1-Opened the checking account with $150.00
October 2- Purchased groceries from Aldi for $53.82 plus 6% tax. (Check 42)
October 2-Paid $15.00 for flowers using your debit card.
October 4- Deposited paycheck from work. ($14.50/ hr for 30 hours)
October 6-Bought 3 shirts for $8 each with a 5% off coupon and 6% sales tax from Target. (Check 43)
October 7- Bought a scooter for $50.00, helmet for $12.95, and sneakers for $79.99 from Scoot-2-Go.
There was 6% sales tax. (Check 44)
October 11-Deposited paycheck from work minus the $100.00 you kept in cash ($14.50/hr for 35 hours)
October 12- Ate lunch at Burger King for $11.65 plus 6% tax. Used your debit card to pay for it.
Be sure to include the steps you followed to complete your computations
The balance as of October 12th
The process for entering the transaction in the registry.
It should be no mystery that amounts deposited get added to bank balance, and amounts withdrawn by any means get subtracted. Regarding the balance in the bank, a debit card withdrawal is equivalent to a cheque withdrawal.
How to complete the first four checkbook register?Regarding the balance in the bank, a debit card withdrawal is equivalent to a cheque withdrawal. The debit card withdrawal differs from a check in the check register in that there is no check number (and frequently no transaction number) connected to it.
initial transaction
$100 is deposited to open the account. The starting balance is that sum.
two-way transaction
You must calculate the tax on the purchases for this issue. Normally, the store would take care of that for you, and you would write a check to cover the debt. The sum owed in this case is...
Rounding up from $43.82 to 45.5728 is 45.57.
Instead of calculating the tax individually and then adding it to the original amount, it is more convenient to use a multiplier to determine the amount with tax. You should be aware that the purchase price multiplied by 100% plus 4% equals 104%, or 1.04 times the price.
As a withdrawal, this $45.57 is deducted from the prior transaction's $100 total, resulting in a new balance of $54.43.
third action
This is a straightforward withdrawal, therefore $46.43 is obtained by deducting the sum from the prior balance.
As previously said, there is no transaction number connected to this. It can occasionally be helpful to keep track of which debit card is being used if you have several debit cards that are taking money out of the account. The final four digits of the card number are used to identify transactions on my bank statement.
Fourth action
You must calculate the payroll deposit amount for this problem. That would typically be handled for you by your employer, along with any deductions for taxes, insurance, union dues, or employee purchases. The sum deposited in this case is...
Hourly rate times 40 equals $9.75, which equals $390.
The previous value is increased by this deposit, making the new balance $436.43.
In most cases, the coupon is applied to transactions including coupons before the tax is calculated. The fact that the purchase amounts are combined should be obvious. (You can calculate the total when there are numerous items at the same price using repeated addition or multiplication; most people find multiplication to be simpler.)
The purchase from the bike shop is arguably the most difficult. The total of the values in brackets is...
$180.00 + 14.95 + 8.95 = 203.90
Then, the 15% discount is applied.
Rounding up to 30.59 from 0.15 x $203.90 = 30.585
Taking this out of the previous amount* yields (before taxes)...
$203.90 -30.59 = $173.31
The amount subject to tax can then be calculated using the same multiplier described above:
Round to $180.24 using the formula: amount with tax = $173.31 x 1.04 = $180.24
* Talk about the 15% discount
As with additional tax, you can calculate the discount using a multiplier:
100% - 15% = 85% . . . 0.85 times as much
The result of applying this multiplier to the number 203.90 is 173.315, which is typically rounded up to 173.32. But this figure results from a discount that is rounded to the nearest half cent (30.585). The discounted amount, 173.315, is rounded down to 173.31 if the discount is rounded up. The intricacy of applying a multiplier to discounts is there.
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P=1000 r=0.85% t=4 annually
Based on the given parameters, the amount of the investment after 4 years is $1030
How to determine the amount?The given parameters about the compound interest are
Principal Amount, P = $1000
Interest Rate, R = 0.85%
Time, t = 4
Number of times, n = 1 i.e. annually
Compound interests are different from simple interest, and they are calculated using the following compound interest formula
CI = P(1 + R/n)^nt - P
To calculate the amount, we have:
A = P + CI
So, the equation becomes
A = P + P(1 + R/n)^nt - P
Evaluate the like terms
A = P(1 + R/n)^nt
Substitute the known values in the above equation
A = 1000 * (1 + 0.85%/1)^(1 * 4)
Express 0.85% as decimal
A = 1000 * (1 + 0.0085/1)^(1 * 4)
Evaluate the sum
A = 1000 * (1.0085/1)^(1 * 4)
Evaluate the exponent
A = 1000 * 1.03
Evaluate the product
A = 1030
Hence, the value of the investment is $1030
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I’m not sure how to do this y = 2x-3
-2x+y = 6
At a health camp the number of children was three times the number of men.the number of men was 240 less than the number of women. if the number of children x give an equation that can be used to get the number of men if the total number of people who attended was 2400
The equation that can be used to get the number of men if the total number of people who attended was 2400 is x + 3x + x + 240 = 2400.
How to illustrate the information?It should be noted that from the information given, in the health camp the number of children was three times the number of men and the number of men was 240 less than the number of women.
Number of men = x
Number of children = 3x
Number of women = x + 240
Total number of people = 2400
The appropriate equation will be:
x + 3x + x + 240 = 2400
5x + 240 = 2400
Collect like terms
5x = 2400 - 240
5x = 2160
Divide
x = 2160 / 5
x =432
Therefore, the total number of men is 432 men.
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PLEASE HELP SOON! :)
f(x) = 4x + 6 and g(x) = 1/2 . f(x)
what is the function rule for function g?
g(x) = x +
Answer:
[tex]g(x)=2x+3[/tex]
Step-by-step explanation:
[tex]g(x)=\frac{1}{2}(4x+6)=2x+3[/tex]
Activity 2: Which are not quadratic equations? How do you describe quadratic equation?
Answer:
A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared.
katie is studying the polynomial and determines the polynomial has three real roots. do you agree or disagree with katie's statement? explain your reasoning.
Katie is studying the polynomial f(x) =(2x-3) (x-4) (x^2-3) and determines the polynomial has three real roots. you disagree with Katies statement because the function has four real roots
Katie is studying the polynomial and determines the polynomial has three real roots. Do you agree or disagree with Katie's statement? Explain your reasoning.
the complete question is
Katie is studying the polynomial f(x) =(2x-3) (x-4) (x^2-3) and determines the polynomial has three real roots. Do you agree or disagree with Katies statement? Explain your reasoning.
Write properties of function:
x intercept/zero: [tex]x_{1}[/tex] = 3/2 ; [tex]x_{2}[/tex] = 4 ; [tex]x_{3}[/tex] = -[tex]\sqrt{3}[/tex] ; [tex]x_{4}[/tex] = [tex]\sqrt{3}[/tex]
Katie is studying the polynomial f(x) =(2x-3) (x-4) (x^2-3) and determines the polynomial has three real roots. you disagree with Katies statement because the function has four real roots
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You are 5 1/3 feet tall. you must be at least 5 1/2- feet tall to ride a roller coaster. write and solve an equation to represent how much taller you must be to ride the roller coaster
The equation h>= 11/2 feet represents the required height of an individual to ride the roller coaster.
Your height = 5 1/3 feet tall
Required height in feet to ride a roller coaster = at least 5 1/2 feet
When the numerator exceeds or is equal to the denominator, the fraction is said to be improper. 5/2 and 8/5, for instance, are improper fractions.
Let h represent the height
h>= 5 1/2
Converting into an improper fraction
h>= 11/2 feet
Your height in improper fraction = 16/3 feet
Comparing the required height and your height we find that
Required height>Your height
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2
If x and y vary directly and y=32 when x=18, then which of the following equations correctly represents
the algebraic relationship between x and y?
(c) x + y = 50
16
(a) y=x
(b) y=x+14
(d) y=-x/16
Answer:
b, c
Step-by-step explanation:
a) 32=18 - not true
b) 32=18+14 - true
c) 18+32=50 - true
d) 32=-18/16 - not true
If x and y vary directly, than the relationship between y and x will be →
y = (16/9)x
What is direct proportionality?
Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value.
Given is x and y vary directly and y = 32 when x = 18.
Since x and y vary directly, this means that -
y/x = K [constant]
Now, we have -
x = 18
y = 32
Substituting values -
32/18 = K
K = 32/18 = 16/9
y/x = 16/9
y = (16/9)x
Therefore, if x and y vary directly, than the relationship between y and x will be → y = (16/9)x
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What’s the relationship between the number of
$4 lunches
you buy with a $100 school
lunch card and the money remaining on
the card
The relationship will be a solid line .
How to find the relationship between the given amounts?
Given:
The amount of one lunch =$4
The amount of the school lunch card=$100
Let, the amount remaining on the card= b
Let the number of lunches to buy = a
The equation is given by,
b = 100 - 4a
When 1 lunch is bought ,a= 1 ;
b= 100 - 4(1) = 96
When 2 lunches are bought ,a= 2;
b= 100 - 4 (2)= 92
When 3 lunches are bought ,a= 3;
b= 100 - 4 (3)= 88
When 4 lunches are bought ,a= 4;
b= 100 - 4 (4)= 84
Since ,the decrease is gradual and same, the relationship will be a solid line.
The complete question is:
What is the relationship between the number of $4 lunches you buy with a $100 school lunch card and the money remaining on the card. Is the relationship a solid line or a set on unconnected points?
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Determine the solution to p/4=12.2
Find the zeros of the functions:
f(x)=3x+7
f(x)=1/5x-7
Answer: x= -5
Step-by-step explanation: Zero is x
f(-5)= -15 +7= -8
f(-5)= -1 - 7 = -8
Answer is -8
7-(-4) is__units from 7 in the ____ direction
7-(-4) is 4 units from 7 in the negative direction. See the explanation and the linear scale attached.
What direction is being referred to in the above Question?The direction being referred to is the direction of the number on a numerical scale or Linear Scale.
In the attached linear scale, we can see that the arrow stops at 11. This is arrived at by expanding the bracket:
7 - (-4)
the subtraction signs cancel out each other creating a positive sign. Hence we have:
7 + 4
= 11.
Hence, 11 is 4 units away from 7 in the negative direction. That is going toward zero is negative or a reduction hence, to get to 7 you need to go toward the negative section of the scale.
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A bathtub is draining at a constant rate. After 3 minutes of draining, it contained 36 gallons of water, and after 7 minutes, it contained 20 gallons. If t is the number of minutes since the bathtub started draining, and g is the number of gallons of water left in the bathtub, what is the equation of the linear function that models this situation?
The linear equation that models the water left in the bathtub is g = 32 - 4t.
What is the linear equation?The first step is to determine the rate of drainage of the bathtub. The rate of drainage is the ratio of the change in water to the change in time.
Rate of drainage = change in water levels in the bathtub / change in time
(20 - 36) / (7 - 3)
-16 / 4 = -4
The second step is to determine the amount of water in the bathtub before it started draining
Initial amount of water in the bathtub = 20 + (4 x 3) = 32 gallons
The form of the linear equation that can be used to determine the amount of water left in the tank is:
Water in the bathtub = initial amount of water - (rate of drainage x number of minutes)
g = 32 - 4t
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(-4s–3)+(6s–1) what is the sum
Answer:
=2s−4
Step-by-step explanation:
−4s−3+6s−1
=−4s+−3+6s+−1
Combine Like Terms:
=−4s+−3+6s+−1
=(−4s+6s)+(−3+−1)
=2s+−4
Answer:
=2s−4
Ruby has $0.86 worth of pennies and nickels. She has 4 more nickels than pennies. Determine the number of pennies and the number of nickels that Ruby has.
86 = 1p + 5n
n = p + 4
86 = 1p + 5(p + 4)
86 = 1p + 5p + 20
66 = 6p; p = 11
86 = 1(11) + 5n
86 = 11 + 5n
75 = 5n; 15 = n
11 pennies, 15 nickels
11(1) + 15(15) = 11 + 75 = 86
What is 12b-9=??? if b=24?
Answer: The answer is 279
Step-by-step explanation:
12 x 24=288
288-9=279
12(24)-9=279
I dont know what im doing Please Help
Answer:
I think your answer is correct
Step-by-step explanation:
You did that right. You moved the point from zero to negative one, then you raised it to negative two. Good job.
four liters of water are mixed with 6 juiced lemons to make lemonade. how many liters of water should be mixed with 10 juicer lemons to obtain the same result? (pls kinda show work)
F.) 4 2/3
G.) 5 1/3
H.) 6 1/3
J.) 6 2/3
K.) 8 1/3
Using mathematical operations, (D) 6⅔ of water should be mixed with 10 lemon juice.
What are mathematical operations?A function in mathematics known as an operation is one that transforms zero or more input values into a clearly defined output value. The operation's complexity is determined by its operand count. The order of operations is a rule that specifies the right procedure to follow when evaluating a mathematical expression. Using the acronym PEMDAS, we can remember this order: parentheses, exponents, multiplication, and division (left to right), addition and subtraction (from left to right).So, liters of water when mixed with 10 lemon juice:
The expression will be: 4/6 = x/10Solve, the expression as follows:
4/6 = x/106x = 10 × 46x = 40x = 40/6x = 6⅔
Therefore, using mathematical operations, (D) 6⅔ of water should be mixed with 10 lemon juice.
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The correct question is given below;
Four liters of water are mixed with 6 juiced lemons to make lemonade. how many liters of water should be mixed with 10 juicer lemons to obtain the same result? (pls kinda show work)
A) 4 2/3
B) 5 1/3
C) 6 1/3
D) 6 2/3
E) 8 1/3