Answer: it’s should be -300
Step-by-step explanation:
The total cost of 5 kg rice and 6 kg sugar is Rs 940. If the
rate of rice increases by 20% and the rate of sugar decreases
by 10%, the total cost of 4 kg rice and 3 kg sugar will be
Rs 627. By what percent the cost of 1 kg rice is more or less
than the cost of 1 kg sugar. Find it.
The percent cost of 1 kg rice is less than the cost of 1 kg sugar by 11 1/9%.
What is percent increase?We first calculate the difference between the original value and the new value when comparing a rise in a quantity over time. The relative increase in comparison to the initial value is then determined using this difference, and it is expressed as a percentage.
Let the cost price of rice is R and cost price of sugar is S.
Case 1 : total cost of 5 kg rice and 6 kg sugar is Rs. 940.
5R + 6S = 940 ...(1)
Case 2 : rate of rice increased by 20% and the rate of sugar decreased by 10%.
The new cost price of rice = R + 20% of R = 1.2R
The new cost price of sugar = S - 10% of S = 0.9S
So, the total cost of 4 kg rice and 3 kg sugar will be Rs. 627.
Thus,
4 × 1.2R + 3 × 0.9S = 4.8R + 2.7S = 627 ..(2)
From equations (1) and (2) we have,
(5R + 6S)/(4.8R + 2.7R) = 940/627
R/S = 8/9
Hence, if the price of rice is 8 then the price of sugar is 9.
It is clear that the price of sugar is more than that of rice.
The percent cost by which cost of rice is less than sugar is:
(9 - 8)/ 9 (100) = 11 1/9%.
Hence, the cost of 1 kg rice is less than the cost of 1 kg sugar by 11 1/9%.
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What is the answer I need help and I can’t seem to figure it out
The new dimension of the rectangular field are 45 ft by 120ft.
How to find the new dimensions of the field?If the field has originally dimensions length L and width W, and we apply a scale factor K, then the new dimensions of the rectangle are:
lenght = K*L
width = K*W
In this case the original dimensions are:
L = 30ft
W = 80ft
And the scale factor is K = 1.5, then the new dimensions are:
L' = 1.5*30ft = 45ft
W' = 1.5*80ft = 120ft
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State the domain and range of the following function.
{(1, 3), (2,7), (- 3,4), (- 2, 3), (5,4)}
Answer:
okay
Step-by-step explanation:
find the the dimension of the cube 9.261 cent meter cube
Answer:
2.1 cm
Step-by-step explanation:
All the sides of a cube are equal.
let x = side of a cube
Volume of a cube = x³
Therefore x = \(\sqrt[3]{9.261}\) = 2.1 cm
Given the function f)(x) =-x^2+3x+8,determine the average rate of change of the function over the interval listed in the picture.
Answer:
Vertex:
(
3
2
,
−
41
4
)
(
3
2
,
-
41
4
)
Focus:
(
3
2
,
−
10
)
(
3
2
,
-
10
)
Axis of Symmetry:
x
=
3
2
x
=
3
2
Directrix:
y
=
−
21
2
y
=
-
21
2
x
y
0
−
8
1
−
10
3
2
−
41
4
3
−
8
4
−
4
Vertex:
(
3
2
,
−
41
4
)
(
3
2
,
-
41
4
)
Focus:
(
3
2
,
−
10
)
(
3
2
,
-
10
)
Axis of Symmetry:
x
=
3
2
x
=
3
2
Directrix:
y
=
−
21
2
y
=
-
21
2
x
y
0
−
8
1
−
10
3
2
−
41
4
3
−
8
4
−
4
Step-by-step explanation:
Answer:
the answer is -3.
Step-by-step explanation:
Which symbol correctly relates 23 ? 16 check all that apply
Answer:
C and E
Step-by-step explanation:
23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.
Help me please!!!
Whoever answers right gets brainliest!
The equation that best describes the relation is y = -x+1 ( optionD)
What is linear equation?A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
Taking x(0,1) and y ( 1,0)
therefore the slope of the line
= 0-1/1-0
= -1/1 = -1
the equation a line is given as
y-y1 = m(x-x1)
= y-1 = -1( x - 0)
= y-1 = -x
y = -x +1
therefore the equation that describe relation is y = 1-x or y = -x+1
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pls help me solve this
The results of operations between vectors are, respectively:
Case A: u + w = <- 3, - 1>
Case B: - 6 · v = <6, 6>
Case C: 3 · v - 6 · w = <- 21, - 15>
Case D: 4 · w + 3 · v - 5 · u = <39, 4>
Case E: |w - v| = √(4² + 3²) = 5
How to determine the operations between vectors
In this problem we must determine the operations between vectors, this can be done by following definitions:
Vector addition
v + u = (x, y) + (x', y') = (x + x', y + y')
Scalar multiplication
α · v = α · (x, y) = (α · x, α · y)
Norm of a vector
|u| = √(x² + y²)
Now we proceed to determine the result of each operation:
Case A:
u + w = <- 6, - 3> + <3, 2>
u + w = <- 3, - 1>
Case B:
- 6 · v = - 6 · <- 1, - 1>
- 6 · v = <6, 6>
Case C:
3 · v - 6 · w = 3 · <- 1, - 1> - 6 · <3, 2>
3 · v - 6 · w = <- 3, - 3> + <- 18, - 12>
3 · v - 6 · w = <- 21, - 15>
Case D:
4 · w + 3 · v - 5 · u = 4 · <3, - 2> + 3 · <- 1, - 1> - 5 · <- 6, - 3>
4 · w + 3 · v - 5 · u = <12, - 8> + <- 3, - 3> + <30, 15>
4 · w + 3 · v - 5 · u = <39, 4>
Case E:
|w - v| = |<3, 2> - <- 1, - 1>|
|w - v| = |<4, 3>|
|w - v| = √(4² + 3²) = 5
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Q, 7, X, Y ,Q , 7, X, Y,...
A) what patterns do you see in this sequence?
B) what is the 12th term in this sequence?
C) what is the 20th term in this sequence?
D) what is the 441st ten in this sequence?
Answer:
A) Q,7,X,Y is repetitive
B) Y
C) Y
D) mosh taye2
Step-by-step explanation:
Q,7,X,Y keeps on repeating
Which graph represents a function
The fourth graph represent the function.
What is graph?Graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.
We have to check the given graphs are function or not.
So, to check that we will use vertical line test.
In vertical line test if any vertical line intersects a graph at exactly one point then the graph represents a function otherwise not.
As, only the fourth graph intersects the graph only one time.
Otherwise all the three intersecting more than one time.
Hence, graph D represents a function.
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What is 126,476,461 divided by 364,555
Answer:
346.93
Step-by-step explanation:
Which statement is true?
A) ST ≅ RV
B) VU ≅ ST
C) SR ≅ TU
D) ST ≅ UT
Answer:
D
Step-by-step explanation:
Trust me, i took the test.
The graph of - 8x+2y = 8 passes through two points, P(p, 2) and
Q (-4, q). What is the value of pq?
Answer:
6
Step-by-step explanation:
All the steps are in the photo I attached
Solve for z.
6z+ 3 - 4z = 9
Answer:
z = 3
Step-by-step explanation:
Samantha has 8 blue shirts, 4 red shirts, and 6 white shirts. What is the ratio of red shirts to the total number of shirts?
Answer:
4/18
Step-by-step explanation:
Theres a total of 18 shirts and a total of 4 red shirts so it would give you a 4/18 ratio/chance of getting red.
Answer:
4:18
Step-by-step explanation:
8+4+6 is 18 and there are 4 red shirts
Consider the following equation,
bh + hr = 25
Solve the equation for h
Answer:
Step-by-step explanation:
The exchange rate for 1 dollar is 1.3021 euros
Answer:
889.021796 (or simplifyed, 889.02)
Step-by-step explanation:
1 USD = 1.3021 EU
so what we do here is multiply 1.3021 and 682.76
1.3021 x 682.76 = 889.021796
Silvester ran around the field,
turning at each of the three backstops.
What was the average number of degrees
he turned at each of the three corners?
it is 76 ooooooooooooof
If you buy 10 pounds of lettuce for $70, what is the rate which one pound of lettuce costs?
Answer:
$7/lb
Step-by-step explanation:
$70 / 10 lb = $7/lb
Answer:
$7 per pound of letuce
Step-by-step explanation:
We know
10 pounds = $70
1 pounds = ?
We cross multiply and get:
$7 per pound of letuce
So, the answer is $7 per pound of letuce
Target Costing
Instant Image Inc. manufactures color laser printers. Model J20 presently sells for $460 and has a product cost of $230, as follows:
Direct materials $175
Direct labor 40
Factory overhead 15
Total $230
It is estimated that the competitive selling price for color laser printers of this type will drop to $400 next year. Instant Image has established a target cost to maintain its historical markup percentage on product cost. Engineers have provided the following cost-reduction ideas:
Purchase a plastic printer cover with snap-on assembly, rather than with screws. This will reduce the amount of direct labor by 15 minutes per unit.
Add an inspection step that will add six minutes per unit of direct labor but reduce the materials cost by $20 per unit.
Decrease the cycle time of the injection molding machine from four minutes to three minutes per part. Forty percent of the direct labor and 48% of the factory overhead are related to running injection molding machines.
The direct labor rate is $30 per hour.
a. Determine the target cost for Model J20, assuming that the historical markup on product cost and selling price are maintained.
$fill in the blank 1
per unit
b. Determine the required cost reduction.
$fill in the blank 2
per unit
c. Evaluate the three engineering improvements together to determine if the required cost reduction (drift) can be achieved. Do not round interim calculations but round your final answers to two decimal places.
1. Direct labor reduction $fill in the blank 3
per unit
2. Additional inspection $fill in the blank 4
per unit
3. Injection molding productivity improvement $fill in the blank 5
per unit
Total savings $fill in the blank 6
per unit
The target cost for Model J20 is $2000.
The required cost reduction is $30.
The total saving will be $30.3.
How to compute the cost?The target cost will be:
= Sales price - (100% × Target cost)
= 400 - (100% × Y)
Y + Y = 400
2Y = 400
Y = 400/2 = 200
Target cost = $200
Therefore, the target cost is $200.
The required cost reduction will be:
= $230 - $200
= $30
The required cost reduction is $30.
The three engineering improvements together will be:
Direct labor reduction = 7.5
Additional inspection = 17
Injection molding = 5.8
Total savings = 30.3
The total savings is $30.3.
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Can anyone please help me with the problem
Answer:
<R=95 degrees (vertical angle theorem).
Step-by-step explanation:
Express the complex number 5/2(cos150° + i sin150°) in standard a + bi form
Finding the sine and the cosine of the angle, it is found that the complex number in standard form is z = -2.165 + 1.25i.
What is a complex number?A complex number is given by:
z = a + bi.
In which:
a is the real part.b is the imaginary part.In this problem, the complex number is given by:
\(z = \frac{5}{2}(\cos{(150^\circ)} + i\sin{(150^\circ)})\)
Using a calculator, we have that:
cos(150º) = -0.866.sin(150º) = 0.5.Hence:
z = 2.5 x (-0.866) + 2.5 x 0.5i
z = -2.165 + 1.25i.
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The number of eggs Mia can sell varies directly with the number of chickens she owns. The more hens she owns, the more
eggs she can sell. If she has 38 eggs each week when she owns 6 chickens, then how many eggs will she get if she has 15
chickens?
If there are 15 chickens. Then the number of eggs will be 95.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
The number of hens Mia has directly affected how many eggs she can sell. She can sell more eggs if she has more chickens. If she has 6 hens and produces 38 eggs every week.
Let the number of eggs be x. Then the equation is written as,
x / 15 = 38 / 6
x = 95
If there are 15 chickens. Then the number of eggs will be 95.
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Solve for x 95+(5x-12)+(x+7)
Answer:
x=15°
Step-by-step explanation:
5x-12°+95°+x+7°=180°
6x+90°=180°
6x=90°
x=15°
What is the test point of this inequality?
choices are
(-1,-8)
(1,5)
(2,2)
(3,5)
The point that is a solution for the given system of inequalities is the second option, the point is (1, 5)
What is the test point of this inequality?We want to see which of the given points is a solution of the system of inequalites.
A point is a solution of the system if it is a solution of both of the inqeualities.
Here any point on the blue region will be a solution, then we can see that the point (1, 5) is in the blue region, so it is a solution.
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AT YOUR NEW JOB AT THE COFFEE SHOP, YOU SOLD 42 LARGE COFFEES AND 54 SMALL COFFEES WHAT WAS THE RATIO OF LARGE TO SMALL COFFEES YOU SOLD? UNDER A MICROSCOPE. YOU COUNTED 48 AMOEBAS AND 56 PARAMECIUMS WHAT WAS THE AMOEBA TO PARAMECIUM RATIO?
Answer:
go Amoeba and Paramecium.
Step-by-step explanation:
You volunteer to help drive children at a charity event to the zoo, but you can fit only 7 of the 19 children present in your van. How many different groups of 7 children
can you drive?
How many different groups of 7 children can you drive?
Answer:
3
Step-by-step explanation:
please answer correctly!!
Answer:
Undefined
Step-by-step explanation:
The counting number just before C5F sixteen is
the counting number just before C5F16 is 3,072.
The machinery in a cereal plant fills 350 g boxes of cereal. The specifications for the machinery permit for a certain amount of fill tolerance. It is found that the weights of filled cereal boxes are normally distributed with a mean of 350 g and a standard deviation of 4 g. What is the probability that a box of cereal is under filled by 5 g or more?
There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.
First, we can standardize the problem by using the z-score formula:
z = (x - μ) / σ
Where:
x = the weight value we want to find the probability for (345 g in this case)
μ = the mean weight (350 g)
σ = the standard deviation (4 g)
Substituting the values into the formula:
z = (345 - 350) / 4 = -1.25
Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.
The probability of obtaining a z-score less than -1.25 is approximately 0.1056.
However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.
The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.
Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
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