Answer:
Based on the given conditions, formulate:
Reduce the fraction:
get the result:
Answer:
Step-by-step explanation:
The Amrit's income is £27434.16.
It is required to find the
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
Let the Bethan's income be x
Amrit's income is 32% more than Bethan's income.
So, Amrit's income=x+32%
Amrit and Bethan's combined income is £54868.
According to given question we have
x+x+32%=£54868
2x+32/100=£54868
2x=54868-0.32
2x=54867.68
x=27433.84
Bethan's income=£ 27433.84
Amrit's income
=x+32%
=£ 27433.84+0.32
=£27434.16
Therefore, the Amrit's income is £27434.16.
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Solve for the unknown variable:
Answer:
if it's a^2+b^2 question,the answer is 25.
Answer:
c =25
Step-by-step explanation:
a^2 + b^2 = c^2
15^2 +20^2 = c^2
625 =c^2
25=c
solve for y -3.3+y/4=9.7
Answer: y= 5 /52 = 10 2/5 = 10.4
Step-by-step explanation:
-3.3+y/4=-9.7
We move all terms to the left:
-3.3+y/4-(-9.7)=0
We add all the numbers together, and all the variables
y/4+6.4=0
We multiply all the terms by the denominator
y+(6.4)*4=0
We add all the numbers together, and all the variables
y+25.6=0
We move all terms containing y to the left, all other terms to the right
y=-25.6
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A feasible region is bounded by the constraints:
y ≤ 20-x
{ y ≥ 20-4x
y ≥ 5-0.25x
The objective function is P = 3x + 5y.
(a) Graph the feasible region.
(b) Find the value of the objective function at each vertex of the feasible region.
(c) What is the minimum value of the objective function, P?
(d) At which vertex point does the minimum value occur?
Show all work.
Answer:
1) b. at vertex ( 0,20) P = 5(20) = 100 at vertex ( 4,4) P = 3(4) + 5(4) = 32 at vertex (20,0) P = 3(20) = 60 c. x = 4 , y = 4 2) x-intercepts x 1 = 1.66667, ...
Step-by-step explanation:
12 + 4 | 4y + 8 | = 20
12 plus 4 plus 8 is 24. so y is -1 because each y takes away 1.
What is the slope of the line through points J and L?
Answer:
Slope: 2/3
Step-by-step explanation:
2[tex]\frac{3}{5}[/tex] × 3[tex]\frac{1}{3}[/tex]
Answer:
[tex]7\frac{5}{3}[/tex]
Step-by-step explanation:
[tex]2\frac{3}{5}[/tex] × [tex]3\frac{1}{3}[/tex]
First make these two fractions as improper fractions.
[tex]\frac{13}{5}[/tex] × [tex]\frac{10}{3}[/tex]
Now multiply the fractions
[tex]\frac{130}{15}[/tex]
You can divide both sides by 5 to simplify the fraction.
[tex]\frac{26}{3}[/tex]
Now make it as a mixed number.
[tex]7\frac{5}{3}[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
Hello there! (:
[tex]2\frac{3}{5} *3\frac{1}{3}[/tex]
Follow these steps to multiply mixed numbers:
Convert them into improper fractions.Multiply. the numerator by the numerator and the denominator by the denominator.Simplify if necessary.Now, how do we convert a mixed number into an improper fraction?
Here are the steps:
Multiply the whole number times the denominator.Add the numerator.Simplify, if necessary.Step 1:
2*5=10
10+3=13
[tex]\frac{13}{5}[/tex]
Now, we do the same to the second fraction:
[tex]\frac{10}{3}[/tex]
[tex]\frac{13}{5} *\frac{10}{3}[/tex]
Step 2. Multiply the numerator times the numerator and the denominator times the denominator:
[tex]\frac{26}{3}[/tex]
Now, let's convert this fraction into a mixed number:
[tex]7\frac{5}{3}[/tex]
Hope it helps you!
If you have any queries, feel free to ask me! (:
~A smiley teen who adores helping others
[tex]MagicalNature[/tex] here to help
miggy ask to solved the given quadratic equation x²+8x-20=0 using the quadratic formula,Help miggy to determine the following
Answer:
x = -10 or 2
Step-by-step explanation:
could you show me the step please and thank you
[tex]\dfrac{(2 x^{-3} y^{-2})^5}{(6x^{-1} y^{-8})^2}\\\\\\=\dfrac{32x^{-15} y^{-10}}{36 x^{-2} y^{-16}}\\\\\\=\dfrac{8}{9} \left(\dfrac{x^{-15}}{x^{-2}} \right) \left(\dfrac{y^{-10}}{y^{-16}} \right)\\\\\\=\dfrac 89 \left(x^{-15+2} \right) \left(y^{-10 +16} \right)\\\\\\=\dfrac 89 \cdot x^{-13} \cdot y^6\\\\\\=\dfrac{8y^6}{9x^{13}}[/tex]
If you sell 225 shares of Dryas Security at $5. 12 per share and 340 shares of Cilla Shipping at $12. 43 per share, how much money will you receive, to the nearest dollar? a. $1,152 b. $5,378 c. $4,226 d. $3,074.
Answer:
the answer to your question Is B $5,378
Everyday Jayden saves a half of his lunch money. By Friday he has $ 600. How much money does he get daily for lunch?
The amount he gets for lunch is an illustration of mean and averages.
He gets for lunch is $240 daily
Represent the amount he gets for lunch each day be x.
So, the amount saved each day is x/2
From Monday to Friday, the total savings would be 5x/2
So, we have:
[tex]\mathbf{\frac{5x}{2} = \$600}[/tex]
Multiply both sides by 2
[tex]\mathbf{5x = \$1200}[/tex]
Divide both sides by 5
[tex]\mathbf{x = \$240}[/tex]
Hence, the amount he gets for lunch is $240 daily
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The area of a rectangle is 60 square inches.
The length is x – 3, and the width is x + 8.
Find the value of x, and the dimensions of the rectangle.
A=lw
X=7 because 7-3 = 4, 7+8= 15,15x4=60.
What angle is congruent to ∠C?
Step-by-step explanation:
Order of congruence does not matter. For any angles A,B, and C , if ∠A≅∠B and ∠B≅∠C , then ∠A≅∠C . If two angles are both congruent to a third angle, then the first two angles are also congruent.
A fruit market must spend less than $225 for an order of apples and oranges. A pound of apples costs $0.50 and a pound of oranges costs $0.75. This relationship is shown in the graph. The market needs at least 50 more pounds of apples than oranges. Which choice is a reasonable solution?
Answer:
Oranges :100 pound
Apples : 250 pound
Step-by-step explanation:
A fruit market must spend less than $225 for an order of peaches and mangoes. A pound of peaches costs $0.50 and a pound of mangoes costs $0.75. This relationship is shown in the graph. The market needs at least 50 more pounds of peaches than mangoes. Which choice is a reasonable solution?
=========
0.5p + 0.75m <= 225
p = m + 50
-------------------
Substitute for "p" and solve for "m"::
0.5(m+50) + 0.75m <= 255
0.5m + 25 + 0.75m <= 255
2.25m <= 325
---
m <= 144.44
--------------------
# of oranges : 100 pound
# of pound of apples: m+50 = 250 pound
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Answer:
Answer choice C should be more Resonable.
Step-by-step explanation: It is very obvious
because you are spending less than $225 and when it says at least 50 more it means that 50 is the bare minimum so the ideal choice is 150 more apples than oranges and likely the oranges will be 100 and aples will be 250 and you won't spend over $225.
Brandie lives on the twelfth floor of her apartment building. She walks down 2 flights to visit a friend, then up 3 flights to
deliver a message to a neighbor. Which integer best represents the number of flights Brandie must walk to get back to
her starting point?
0-12
O-1
05
7
Mark this and return
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Can someone solve plzzz .
Answer:
you have to use multiplication maybe division and addition
Step-by-step explanation:
Please see screenshot.
Could someone help?
Answer:
56/100
Step-by-step explanation:
The decimal place has 2 digits which indicates two zeros. So the denominator will be 100. And 56 will become the numerator.
Evaluate 7P4 and 10C6 .
If $150 is shared among 25 people, how much does each person receive?
[tex](8+0+-2²-7)²+7[/tex]
[tex](8+0-2A^{2} -7 )A^{2} +7= (1-2A^{2} )A^{2}+7 = A^{2} -2A^4 +7[/tex]
ok done. Thank to me :>
The simple process of counting the number of observations (cases) that are classified into certain categories is called
Answer:
tabulation. the simple process of counting the number of observations (cases) that are classified into certain categories; a frequency count; counting the number of responses in categories. one-way tabulation. categorization of single variable existing in a study.
Step-by-step explanation:
Simplify square root of negative 49.
Answer
7 i i think
Step-by-step explanation:
marciano has 85 dollars to spend at a fair he spends 30 on admission and 12 on snacks he wants to plag a game that costs 1.50 per game write an inequality using a variable to find the maximum number of times Marciano can play the game using the inequality determine the maximum number of times he can play the game
Answer: 28.666666666666667
Step-by-step explanation: 85 - 30 - 12 = 43. 43 ÷ 1.50 = 28.666666666666667
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.
To find the parallel :
First of all, Parallel equations should have the same slope and a different y-intercept!
Take the equation of a linear function : y = mx + b, the slope here is m and the y intercept is b.
When we’re given a point (x,y), we write our equation in the y = mx + b form, then substitute the given point for (x,y) and solve for B!
Practice
We already know our equation will be in the form y = mx + b
And we also know that the slope will be the same : m = 4/7
So y = 4/7x + b
Lets find b !
The line passes through the point (0,0) of origin :
0 = 4/7*0 + b
b = 0
So the y intercept is b = 0
And finally the equation will be :
y = 4/7x
Good Luck
A rocket sled accelerates from 10 m/sec to 50 m/sec in 2 seconds. What is the acceleration of the sled?
Answer:
50
Step-by-step explanation:
on edge
Brent has 4.42 in pennies and dimes. If he has 163 coins in all, find the number of pennies and dimes
9514 1404 393
Answer:
132 pennies31 dimesStep-by-step explanation:
If all of Brent's coins were pennies, their value would be 1.63. The value is actually 4.42 -1.63 = 2.79 more than that. Replacing a penny by a dime increases the value by .09. Hence there must be 2.79/.09 = 31 replacements.
Brent has 31 dimes and 132 pennies.
_____
Solution using an equation
You can write an equation that solve the problem in basically the same way. Let the variable represent the number of coins of highest value: d = dimes. Then the value (in cents) of the collection is ...
1(163-d) +10d = 442
9d +163 = 442 . . . . . . . . . . simplify (note 9 is the difference in value; 163 is the value of all pennies)
9d = 442 -163 = 279 . . . . . . subtract 163
d = 279/9 = 31 . . . . . . . . . . divide by 9
Brent has 31 dimes and 163-31 = 132 pennies.
Answer:
Step-by-step explanation:
Translate the situations into equations and solve
The lengths of the sides of a triangle are
consecutive even integers. Find the length of the
longest side if it is 14 units shorter than the
perimeter.
THIS IS URGENT PLS HELP!
3. The lengths of 2 ski slopes are 625m and 760m. The horizontal distance from the start of the run to
the end of the run for both slopes is 300m.
a. What is the height of the higher ski slope to the nearest metre?
3. The lengths of 2 ski slopes are 625m and 760m. The horizontal distance from the start of the run to the end of the run for both slopes is 300m.
a. What is the height of the higher ski slope to the nearest metre?
Helppppppppp pleaseeee
Step-by-step explanation:
the first one is:
2 so not th second one
Answer:
Step-by-step explanation: We can solve this in two ways: Solve the equations directly, or graph the lines and find the point they intersect (which will be the only point at which they are equal.
Solve The Equations:
y = 2x+9
y = -x-3
Set them equal to each other (to find x such that both equations will return the same value for y).
-x-3 = 2x + 9
-3x = 12
x = -4
Use x=-4 in either equation to find y:
y = -x-3
y = -(-4)-3
y = 1
===
The point is (-4,1). That is the point that satisfies both equations:
1) y = 2x+9
y = 2(-4)+9
y = 1, and
2) y = -x-3
y = -(-4)-3
y = 1
=====
We can also solve by graphing and finding the point at which the two lines intersect. A graph is attached.
PLZZ HELP EMMMM!!!!
!!!!!!!!!!!!!!
[tex]-2[/tex] is a less of a loss than [tex]-5[/tex], but a lost of [tex]5[/tex] points is a greater loss than of [tex]2[/tex] points
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!7
Answer:
D, y+8=2(x_4)
Step-by-step explanation:
y=ax+by=2x+b_8=8+bb=_16