Clark bought a 3.2 Ib bag of potatoes , which had 10 potatoes. How many potatoes would there be in a 10 Ib bag?
9514 1404 393
Answer:
31
Step-by-step explanation:
If we assume the number of potatoes is proportional to the weight, then we can write the equation ...
n/10 = 10/3.2
n = 100/3.2 = 31.25 . . . . . . . multiply by 10
There may be 31 potatoes in a 10-lb bag.
One fifth of a number is equal to triple that number less 28.
Let the unknown number be x. Write this word problem as an equation using the variable x.
Answer:
x=10
Step-by-step explanation:
x=(3x-28)5
-14x=-140
x=10
Solve the system of equations y = -2x - 9 and -x + 3y = 8 using the substitution method.
Answer: (-5,1)
Step-by-step explanation: Explanation in picture.
Please help 15 points!!!
Answer:
she earns $10 per hour, and can earn $1 in 6 minutes (60 min divided by $10)
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
What is the quotient 5/8 + 1/5?
Answer:
33/40
Step-by-step explanation:
cross multiply
5 x 5 = 25
8 x 1 = 8
25 + 8 = 33 (our numerator)
8 x 5 = 40 (our least common denominator)
A girl has as many brothers as sisters, but each brother has only half as many brothers as sisters. How many brothers and sisters are there in the family? (This is a hard one)
Answer:
there are 3 girls and 4 boys in the family. The girl has 3 sisters and 3 brothers.
Step-by-step explanation:
If there are 4 girls and 3 boys than the girl has 3 sisters and 3 brothers.
the boy has 4 sisters and 2 brothers. 2 is half of 4.
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Solve each equation and prove that your answer solves the original equation.
25 - 3x = 40 1/3x - 12 = -3
Answer:
25 - 3x = 40 x=-5
1/3x - 12 = -3 x=27
Step-by-step explanation:
25-3x=40 -> subtract 25 each side .... -3x=15 -> divide -3 each side...... x= -5
Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.
Given:
A figure.
To find:
The values of x and y.
Solution:
We know that, in a right angled triangle,
[tex]\sin \theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\sin 60^\circ =\dfrac{x}{16}[/tex]
[tex]\dfrac{\sqrt{3}}{2} =\dfrac{x}{16}[/tex]
Multiply both sides by 16.
[tex]\dfrac{\sqrt{3}}{2}\times 16=\dfrac{x}{16}\times 16[/tex]
[tex]8\sqrt{3}=x[/tex]
And,
[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]
[tex]\cos 60^\circ =\dfrac{y}{16}[/tex]
[tex]\dfrac{1}{2}=\dfrac{y}{16}[/tex]
Multiply both sides by 16.
[tex]\dfrac{16}{2}=y[/tex]
[tex]8=y[/tex]
Therefore, the missing side lengths are [tex]x=8\sqrt{3}[/tex] and [tex]y=8[/tex].
{(-15, 3), (-5, 1), (0, 0), (10, -2)}
Constant:
Equation:
Direct & inverse variation (identify the constant of variation,then write the direct variation equation to represent the relationship) please helppp!!
Answer:
[tex]k = -\frac{1}{5}[/tex] -- Constant
[tex]y = -\frac{x}{5}[/tex] -- Equation
Step-by-step explanation:
Given
[tex]\{(-15, 3), (-5, 1), (0, 0), (10, -2)\}[/tex]
Solving (a): The constant of variation
The given parameter is of the form (x,y) and the variation constant is calculated using:
[tex]k = \frac{y}{x}[/tex]
For:(-15,3), k is calculated as
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{3}{-15}[/tex]
[tex]k = -\frac{1}{5}[/tex]
For (-5,1)
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{1}{-5}[/tex]
[tex]k = -\frac{1}{5}[/tex]
The equation is calculated using the following rule:
[tex]y = kx[/tex]
Substitute [tex]-\frac{1}{5}[/tex] for k
[tex]y = -\frac{1}{5} * x[/tex]
[tex]y = -\frac{x}{5}[/tex]
Anton's mechanic charged $75 for a radiator and $50 per hour for labor. The total cost to install the radiator was $325. Approximately how long did it take the mechanic to install the radiator?
Answer: 5 hours
Step-by-step explanation: because 50 multiply by 5 is 250 and more 75 for radiator
1) Suzanne will pay $14 to get her hair cut. She wants to leave the hairdresser a 15% tip. What is the total cost of the haircut, including tip?
Answer:
$16.10
Step-by-step explanation
14.00x .15=2.10
14.00+2.10=16.10
3x+2y=8
5x+2y=12
what is the solution of the system of equations shown above?
The value of x=2 and y=1.
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.
Given:
3x+2y=8
5x+2y=12
Now, solving both using method of Elimination Method
3x - 5x = 8-12
-2x= -4
x = -4/ -2
x= 2
and, 3x+ 2y = 8
3(2) + 2y = 8
6 + 2y = 8
2y = 8-6
2y = 2
y = 2/2
y= 1
Hence, the value of x=2 and y=1.
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Help Me! ASAP! What is the y-intercept of the line?
A. -2
B. 0
C. 1/2
D. 1
Angelina received two discounts on a $50 pair of shoes. The discounts were taken off one after the other. If she paid
$30 for the shoes, what was the percent discount for each coupon? Is there only one answer to this question?
Angelina received two discounts on a $50 pair of shoes. The discounts were taken off one after the other. If she paid
$30 for the shoes, what was the percent discount for each coupon? Is there only one answer to this question?
Answer:
There are many solutions.
Step-by-step explanation:
A 20% discount on $50 takes us to $40. A 25% discount on the $40 takes us to 30%.
We can also do a 4% discount to bring us to $48, followed by a 62.5% discount, to get to $30.
Kimberly is deciding between two cell phone plans. The first plan has a $50 sign-up
fee and costs $20 per month. The second plan has a $30 sign-up fee and costs $25 per
month. After how many months will the costs be the same for the two phone plans?
Answer:
2month and 2 weeks
Step-by-step explanation:
We are told that the first plan has a $50 sign-up
fee and costs $20 per month.
let the number of months be x, and the total cost be y
y=20x+50---------1
The second plan has a $30 sign-up fee and costs $25 per
let the number of months be x, and the total cost be y
y=30x+25---------2
Equate the two equations we have
20x+50=30x+25
solve for x, collect like terms
50-25=30x-20x
25=10x
divide both sides by 10
x= 25/10
x=2.5 months
x= 2month and 2 weeks
Which of the following is equivalent to (3x + 1)(x - 2)?
3x2 – 2
3x2 - 6x + x – 2
3x2 + 5x – 2
4x + 1
(3x + 1) (x - 2)
= 3x(x - 2) + 1(x - 2)
= 3x² - 6x + x - 2
= 3x² - 5x - 2
Maggie has three pages of homework to do.If she can do 1/4 of a page in one hour, how many will her homework take
Answer:
The answer is 12 hours.
Step-by-step explanation:
If she completes 1/4 of a page in an hour completing one page will take her 4 hours after that you multiply it by 3 and get the total of 12 hours that is takes for her to do her homework
Answer:
the answer is 12 :)))))
A gym membership costs $25 to join, plus a $12 monthly fee. If Adam has spent $133 on his gym membership this year, for how many months has he been a member?
Answer:
HELP ME I GOT THE SAME QUESTION AND I'M DUMB :(
Step-by-step explanation:
I need help ASAP!!
Thanks
Answer:
-|x+2|+2
Step-by-step explanation:
Sydney purchased a used car for $3,500. Her state charges a 5% tax for the car, $85 for registration, $60 for a new title certificate, and $35 for a state safety and emissions inspection. How much does Sydney need to pay for these extra charges, not including the price of the car?
Answer:
$355
Step-by-step explanation:
85+60+35=180
5% of 3,500 is 175
175+180=355
so if i did the math right that means the answer is $355
Hopefully the right answer
can someone explain how to solve this?
True or false: The mapping for a reflection of point
(a, b) about the line
y=-is
(-a, b). (1 point)
O The Statement is false. The mapping for a reflection of point (a,b) about the line y= -x is (b,a)
O This statement is true.
O This statement is false. The mapping for a reflection of point (a,b) about the line y= -x is (-b,-a)
O The statement is false. The mapping for a reflection of point (a,b) about the line y+ -x is (a,-b).
2. Find the equation of the line with a slope of -2 and through the points (1,-17)
Answer:
y=−2x−15
Step-by-step explanation:
Which triangle is congruent to triangle ABC?
What is the solution to the system of equations?
y=1/2x-6
x=-4
O (8,4)
O (4, -8)
O (4,4)
O (4,-4)
Answer:
(-4,-8)
Step-by-step explanation:
The solution to the system of equations is,
⇒ (- 4, - 8)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expressions are,
⇒ y = 1/2x - 6
⇒ x = - 4
Now, We can simplify the expression for y as;
⇒ y = 1/2x - 6
Put x = - 4;
⇒ y = 1/2 × - 4 - 6
⇒y = - 2 - 6
⇒ y = - 8
Thus, The solution to the system of equations is,
⇒ (- 4, - 8)
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Then she needs to find her "heart rate reserve" h by subtracting her average resting heart rate r from her maximum heart rate m. Write an equation she can use
Answer:
r-m=h
Step-by-step explanation:
2.32.41
23.3.45
A
22
3044
212
B
35045
C
22
35.46
D. 2-35·36·45
Answer:
C is the answer
Step-by-step explanation:
the third one is the correct one
help me thank you ! appreciate it
Answer:
what does it mean by equation