Mrs. Kato has 6 bags of dried beans and a 2-pound bag of rice in one shopping bag. In another shopping bag she has a 5-pound bag of flour. The two shopping bags weigh the same amount. What is the weight of each bag of dried beans? Enter the correct answer in the box.
Given:
Mrs. Kato has 6 bags of dried beans and a 2-pound bag of rice in one shopping bag.
In another shopping bag she has a 5-pound bag of flour.
The two shopping bags weigh the same amount.
To find:
The weight of each bag of dried beans.
Solution:
Let x be the weight of each bag of dried beans.
So, weight of 6 bags of dried beans = 6x.
According to the question,
Weight of first bag = (6x + 2) pounds
Weight of second bag = 5 pounds
The two shopping bags weigh the same amount. So,
[tex]6x+2=5[/tex]
[tex]6x=5-2[/tex]
[tex]6x=3[/tex]
Divide both sides by 6.
[tex]x=\dfrac{3}{6}[/tex]
[tex]x=0.5[/tex]
Therefore, the weight of each bag of dried beans is 0.5 pounds.
The weight of each bag of dried beans is 0.5 pounds.
Given that,
Mrs. Kato has 6 bags of dried beans i.e. 6x and a 2-pound bag of rice in one shopping bag.In another shopping bag she has a 5-pound bag of flour. The two shopping bags weigh the same amount.Based on the above information, the calculation is as follows:
6x + 2 = 5
6x = 5 -2
6x = 3
x = 0.5
Therefore, we can conclude that the weight of each bag of dried beans is 0.5 pounds.
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If $800 is deposited into a new savings account with a simple interest rate of 1.8%, what will be the total amount in the account after 15 years?
Answer:
Step-by-step explanation:
I = prt
I = 800 × 1.8% x 15
I = $216
Remember the percent sign for the rate or write it as a decimal (multiplier)! In this case the multiplier would be 0.018!
Hope this helps, please mark as brainliest! :)
The graph shows the relationship between the time (in seconds) and number of gallons of water in a sink. The sink starts out with 8 gallons and drains at a constant rate of 35 gallons per second.
Which function represents the situation?
A f(x) = 3/5x+8
B f(x)= 3/5x-8
C f(x)= -3/5x+8
D f(x)= -3/5x-8
70 percent is c.f(x)=-3/5x+8
create a function and explain why it is a function using academic vocabulary (input ,output, mapping, vertical line test and function (
can somebody answer please.
Answer:
1. 2
2. 2/8 or 1/4 simplified
3. 5hrs
Hope I helped!
Write the equation in slope-intercept form. Then identify the slope and the y-intercept.
6x + 2y = 10
Slope formula - y = mx + b
6x + 2y = 10
subtract x
2y = 10 - 6x
divide all by 2
y = 5 - 3x
y = -3x + 5
5 is the y-intercept, and -3x is the slope
hope this helps :)
A recipe for pasta dough say's use 150 grams of flour per large egg how much flour is needed if 6 larg eggs are used ???
HELP PLEASE
classify the triangle
Answer:
I believe it would be an acute triangle.
Factor the algebraic equation
36a+20
Answer:
4(9a+5)
Step-by-step explanation:
Answer:
4(9a+5)
Step-by-step explanation:
Their common factor is 4 so divide both by 4 and put it in parentheses times 4
Alto's dove 9 meters below the ocean's surface. She then dove 15 meters deeperShe then rose 19 1/4 meters. What was her position in realtion to the surface of water?
Answer:
Alto was 4.75 meters under the water, or -4.75.
Step-by-step explanation:
Alto dove 9 meters and then 15 meters. We can add those two which is 24 meters. Then she rose 19 and 1/4, so we have to subtract that from 24.
I hope this helped, and if it did I would appreciate it if you marked me brainliest.
thank you and have a nice day!
2) Find the unknown sizes.
I have shoot it . so, hope this help u.
Answer:
hope this helps, happy learning!!!
5) William sold half of his comic book collection then purchased 10
more. He now has 24 comic books. How many books did William
begin with?
Answer:
14
Step-by-step explanation:
If he has a total of 24
and he just purchased 10
24-10= 14
Plz help me, I am terrible in math
Answer: it is either C or D
Step-by-step explanation:but It looks like its D
The graph of g(x) is the result of translating the graph of f(x) = 3x six units to the right. What is the equation of g(x)?
g(x) = 3x – 6
g(x) = 3x + 6
g(x) = 3x – 6
g(x) = 3x + 6
Answer:
Its A
Step-by-step explanation:
Trust me
Answer:
a
Step-by-step explanation:
I need help please
Answer:
false
Step-by-step explanation:
Answer:
False, it has no solution if the lines are parallel.
S
You have $18 to spend on lip balm and hand sanitizer. The equation 1.5x + 2.5y = 18 represents this situation, where x is tubes of
lip balm and y is bottles of hand sanitizer. How many tubes of lip balm can you buy when you do not buy any bottles of hand
sanitizer?
Answer:
(1.5×5) + (2.5×4)
Step-by-step explanation:
if 1.5 + 2.5 is 4.0, and you have $18 and you would see how many times 4 can go into 18 (18÷4) which has four times then you have $2 left so you can get another lip balm so x equals 5 and Y equals 4. I hope this helps! :D
Find the equation of the line through point (−2,3) and parallel to y=x+1. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).
Answer:
y = x + 5
Step-by-step explanation:
The standard form of the slope-intercept is
y = mx + b
where m is the slope
According to this question, the slope is 1 for the given equation
If two lines are parallel, they have equal slopes
So the slope of the line we are trying to get is 1
We can now use the point-slope form to get the equation of the second line
Mathematically, that will be
y-y1 = m(x-x1)
where m is slope and (x1,x2) are the points given
So therefore;
y-3 = 1( x - (-2))
y-3 = x + 2
y = x + 5
On Friday Simon ate three tenths of a kg of cherries. On Saturday, he ate half of a kg of cherries. What amount of cherries are left now if he had one kg of cherries
Answer:
1/5 kgStep-by-step explanation:
Initial amount = 1 kgEaten on Friday = 3/10 kgEaten on Saturday = 1/2 kgAmount of cherries left:
1 - (3/10 + 1/2) = 1 - (3/10 + 5/10) = 1 - 8/10 = 2/10 = 1/5 kgThree friends went apple picking and then counted the apples they picked.
Who had the largest red to green apple ratio? Use complete sentences to explain how you got your answer.
Carmen has the largest red to green apple ratio.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
here, we have,
from the given chart , we get,
the ratio as,
Carmen= 20:12
=1.6
Dylan = 12:10
=1.2
Eli = 16:20
=0.8
now, we have,
Carmen has the largest red to green apple ratio.
This is because his red to green apple ratio is equal to 1.6.
In order to determine that you take 20 and divide it by 12.
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Pekka tosses a ball out of a window that is 40 feet in the air. Its initial velocity is 15
feet per second. The path of the ball is represented by
h = -16t2 + 15t + 40
How long does it take for the ball to hit the ground (in seconds) rounded to the
nearest hundredth?
Answer:
2.12 seconds
Step-by-step explanation:
Given
[tex]h(t) = -16t^2 + 15t + 40[/tex]
Required
Determine how long the ball hits the ground
When the ball hits the ground means that [tex]h(t) = 0[/tex]
So, we have that:
[tex]h(t) = -16t^2 + 15t + 40[/tex] becomes
[tex]0 = -16t^2 + 15t + 40[/tex]
Reorder
[tex]-16t^2 + 15t + 40 = 0[/tex]
Multiply through by -1
[tex]16t^2 - 15t - 40 = 0[/tex]
Solve using quadratic:
[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = 16[/tex] [tex]b = -15[/tex] [tex]c = -40[/tex]
So, we have:
[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex] becomes
[tex]t = \frac{-(-15)\±\sqrt{(-15)^2 - 4*16*-40}}{2*16}[/tex]
[tex]t = \frac{15\±\sqrt{(-15)^2 - 4*16*-40}}{2*16}[/tex]
[tex]t = \frac{15\±\sqrt{225 +2560}}{32}[/tex]
[tex]t = \frac{15\±\sqrt{2785}}{32}[/tex]
[tex]t = \frac{15\±52.77}{32}[/tex]
Split:
[tex]t = \frac{15+52.77}{32}[/tex] or [tex]t = \frac{15-52.77}{32}[/tex]
[tex]t = \frac{67.77}{32}[/tex] or [tex]t = \frac{-37.77}{32}[/tex]
[tex]t = 2.12[/tex] or [tex]t = -1.18[/tex]
But time can't be negative
So:
[tex]t = 2.12[/tex]
Hence, time to hit the ground is 2.12 seconds
solve for the indicated information. solve for x.
Answer:
-9
Step-by-step explanation:
x + 109 + x + 89 = 180° because these angles are supplementary
2x + 198 = 180 subtract 198 from both sides
2x = - 18 divide by 2
x = -9
15. Which expression has the greatest value?
A. 142-(-172)
B. 1 12+ -1 12
C. -142 - (-14)
D. 142
Answer:
i think that its D
Step-by-step explanation:
hopes this helps
-12.48-(-2.99)-5.62
-353.92-(-283.56)-131.29
831 106 (92)
(70 points.)
Answer:
-12164.91462:)
Step-by-step explanation:
Solution of the three expressions;
1). -12.48-(-2.99)-5.62 = -15.11
2). -353.92-(-283.56)-131.29 = -201.65
3). 831 / 106 (92) = 0.0852 (rounded to four decimal places)
What is PEMDAS?When resolving expressions containing several operations, the procedure to follow is denoted by the acronym PEMDAS. "Parenthesis," "exponents," "multiplication," "division," "addition," and "subtraction" are all represented by the letters P through E.
1). -12.48-(-2.99)-5.62
= -12.48 + 2.99 - 5.62 (double negative becomes positive)
= -15.11
Therefore, -12.48-(-2.99)-5.62 equals -15.11.
2). -353.92-(-283.56)-131.29
= -353.92 + 283.56 - 131.29 (double negative becomes positive)
= -70.36 - 131.29
= -201.65
Therefore, -353.92-(-283.56)-131.29 equals -201.65.
3). 831 / 106 (92)
This expression involves multiplication and division, and the order of operations (PEMDAS) tells us to perform the multiplication before the division. So we have:
= 831 / (106 x 92)
= 831 / 9736
= 0.0852 (rounded to four decimal places)
Therefore, 831 / 106 (92) equals 0.0852.
To learn more about the PEMDAS;
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The complete question:
Find the solution to the expressions given below;
1). -12.48-(-2.99)-5.62
2). -353.92-(-283.56)-131.29
3). 831 / 106 (92)
Your family is having fried rice for dinner. Your mom asks you to divide the 3 bowls of rice so everyone gets an equal amount. How many servings of size 12 can you make out of the 3 bowls of rice?
Answer:
1/4 equal pieces
Step-by-step explanation:
Total number of bowls of rice = 3
We are seeking servings of size 12
Then it means we are dividing 3bowls into 12 equal pieces
= 3/12 bowls
= 1/4 equal pieces
Which means each member of the family is getting 1/4 each of the bowl of rice
Therefore, 1/4 servings of size 12 can you make out of the 3 bowls of rice
What is the solution of |x − 1| + 2 = 4? Enter your answers from least to greatest in the boxes
Answer:
down
Step-by-step explanation:
are there options
7 divided by c expression
Answer:
7/c
Step-by-step explanation:
7 divide by c is the same as 7/c
Which property is used in the following expression ? (a x b) x c = a x (b x c)
Associative Property of Multiplication
Associative Property of Multiplication
Commutative Property of Addition
Commutative Property of Addition
Associative Property of Addition
Associative Property of Addition
Distributive Property
Answer:
A) Assoicative Property of multiplication
Step-by-step explanation:
For associative prop., the order stay the same but the () move.
there are 1,920fence posts used in a 12-killometer strech fence how many fence posts are used in one kilometer
Answer:
160
Step-by-step explanation:
Just divide 1920 into 12
A sporting goods store received a shipment of 500 baseball gloves. 200 were left handed. What is the ratio of right handed gloves to gloves?
WILL RECIEVE BRAINLIST
Answer:
300:500
Step-by-step explanation:
If there are 200 left handed gloves, then there are 300 right handed gloves.
The total amount of gloves is 500, so its 300:500.
The points (20, 80) and (30, 120) form a proportional relationship. What is the slope of the line that passes through these points?