Answer:
$80
Step-by-step explanation:
the original price (in percent) = 100%
the discount (25% off) = - 25%
_________________
the sale price (in percent) = 75% =>
equal to $60
so, the original price =
100/75 × $60 = $80
Now
Cost price be x.[tex]\\ \rm\longmapsto 100-25=75\%[/tex]
75% of x=60[tex]\\ \rm\longmapsto \dfrac{75}{100}x=60[/tex]
[tex]\\ \rm\longmapsto x=60\times \dfrac{100}{75}[/tex]
[tex]\\ \rm\longmapsto x=80[/tex]
Please explain. I think it’s a two step equation.
Answer:
[tex] k = \dfrac{5}{3} [/tex]
Step-by-step explanation:
It is actually a one-step equation.
If you have a number multiplying a variable equaling another number, then you need to do only one operation to solve; you need to multiply both sides by the reciprocal of the number multiplying the variable.
Here we have
[tex] \dfrac{3}{2} = \dfrac{9}{10}k [/tex]
First, switch sides to have the variable, k, on the left side.
[tex] \dfrac{9}{10}k = \dfrac{3}{2} [/tex]
You have a variable, k, multiplied by a number, the fraction 9/10, equaling another number, 3/2. To solve for k, multiply both sides by the reciprocal of 9/10 which is 10/9.
[tex] \dfrac{10}{9} \times \dfrac{9}{10}k = \dfrac{10}{9} \times \dfrac{3}{2} [/tex]
On the left side, you have the product of two reciprocals, 10/9 and 9/10, which equals 1, leaving just k.
On the right side, you must multiply the fraction 10/9 by 3/2 and then reduce.
[tex] k = \dfrac{30}{18} [/tex]
[tex] k = \dfrac{5}{3} [/tex]
a small bag of 9 tiny potatoes costs 5.76........ how much does one potato cost?
Answer:
0.64 cents
Step-by-step explanation:
5.76 divided by 9 = 0.64 so if there are 9 potatoes then each one costs 0.64 cents
Hope this helps, leave any questions in the comments please.
The zebras have been spotted in a
rectangular area of the Savannas that
is 1.4 kilometers by 2.4 kilometers. What
is the area of the rectangle?
Area of rectangle where Zebra spotted is 3.36 kilometer²
Step-by-step explanation:
Given that;
Zebras spotted in a rectangular area
Dimensions of area is 1.4 kilometers by 2.4 kilometers
Find:
Area of rectangle
Computation:
[tex]Area\ of\ rectangle = length \times width\\[/tex]
Area of rectangle = 1.4 x 2.4
Area of rectangle = 3.36 kilometer²
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f(x)= -2x^2 - 5 and f(2)= -13
can someone solve this in steps please?
This is one way you could write out the steps
f(x) = -2x^2 - 5
f(2) = -2(2)^2 - 5
f(2) = -2(4) - 5
f(2) = -8 - 5
f(2) = -13
Answer:
Step-by-step explanation:
First you have to get the meaning clear.
f(2) means that wherever you see an x on the right side of the equation, you put a 2.
f(2) means -2*(-2)^2 - 5
(-2)^2 = -2 * -2 = 4
f(2) = -2 * 4 - 5
f(2) = - 8 - 5
f(2) = -13
6m + 3z + 4m + 2w - 5z
Step-by-step explanation:
6m + 3z + 4m + 2w - 5z
6m + 4m + 3z - 5z + 2w
10m - 2z + 2w
Therefore the answer is 10m -2z + 2w
What is the coefficient
Answer:
B
Step-by-step explanation:
Using the Pascal's triangle
Pertaining to the 8th term the coefficients are;
1, 8, 28, 56, 70, 56,28, 8 and 1 in that order
Expanding this,
the coefficient of the term x^7y is 8
Find the coordinates of the midpoint
Answer:
(2,2)
Step-by-step explanation:
(5+-1/2,8+-4/2)
(-2,2)
if jack is sitting on the chair no 14 from the left Find his place from the right if the chairs are numbered from 1 to 40 ?
Answer:
26
Step-by-step explanation:
if his chair is 14 away from the left he would be 26 away from the right
If - 7 = 9 + x, then -3x + 5 = ?
Answer:
53
Step-by-step explanation:
At first,
- 7 = 9 + x
By subtracting 9 from both sides, we get
-7-9=9+x-9
-16=x
Now,
By substituting the value of x in -3x + 5 , we get
-3x + 5
-3×(-16)+5
48+5
53
Solve for X ( 9th grade Algebra 1)
Answer:
x = 2
Step-by-step explanation:
(x+16)/3 = 3x
=> x+16 = 3x × 3
=> x+16 = 9x
=> 16 = 9x - x
=> 16 = 8x
=> 16/8 = x
=> 2 = x
3x
Are 10 - 20 and 5(2 - 20) equivalent expressions? Explain.
Answer:
No.
Step-by-step explanation:
Take the second expression: 5(2 - 20)
To solve, you must distribute the 5 to all terms within the parenthesis:
5(2 - 20) = (5 * 2) - (5 * 20) = 10 - 100 = -90
On the other hand:
10 - 20 = -10
∴ the two expressions are not equivalent.
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{\bold{No, they are not equivalent because...}}\\\\\\\large\textsf{5(2 - 20)}\\\large\textsf{= 5(2) + 5(-20)}\\\large\textsf{= 10 - 90}\\\boxed{\large\textsf{= \bf -90}}\\\\\large\textsf{10 - 20}\\\large\textsf{\boxed{\large\textsf{= \bf -10}}}\\\\\\\large\boxed{\star}\large\textsf{-10}\neq\large\textsf{-90}\large\boxed{\star}[/tex]
[tex]\huge\boxed{\mathsf{Answer: \bold{NO,}\ because \ \bf -10 \ does \ NOT}}\\\huge\boxed{\mathsf{\bf equal \ to -90}}\huge\checkmark[/tex]
[tex]\bullet\ \frak{Random\ fact: negatives \ are \ on\ the\bf \ LEFT\ side\ of\ the \ number\ line\ \& \ positives}\\\frak{are\ on\ the\bf \ RIGHT\ side\ of\ the\ number\ line}[/tex]
[tex]\large\text{Good luck on your assignment \& enjoy your day!}\\\\\\\huge\boxed{\frak{Amphitrite1040}}[/tex]
This is finding the midpoint. Please help
Answer:(4,1) ?
Step-by-step explanation:
(x1 + x2/ 2 , y1+y2/ 2)
(1+7/ 2, 5+(-3)/ 2)
(4,1)
Step-by-step explanation:
[tex]( \frac{1 + 5 }{2} ) \: and( \frac{7 + 3}{2} ) = ( \frac{6}{2} ) + ( \frac{10}{2} ) = [/tex]
(3,5)
Algebra! Question 18!!!!
Anna finishes 5 homework problems in 15 minutes. Kailey finishes 10
homework problems in hour. Are they working at the same rate?
Answer:
no, they are not working at the same rate.
Step-by-step explanation:
Annah takes only 3 minutes to complete 1 homework while Kailey takes 6 minutes to complete 1 homework
Answer:
no no they are not
Step-by-step explanation:
cause if you do 5 times 5 timess 5 times 5 times 5 it it 75 but 10 homework an hour is not equal to it
Jack walks onto an elevator at floor level 2. The elevator goes up 3 floors, down 8 floors, and back up 11 floors. What floor is Jack on now?
If f(x) = + 8, what is f(x) when x = 10?
O4
O 9
O 13
O 36
Answer:
4 step by step explanation
The at {x} = 10, the value of the function remains +8.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is that the function f(x) is defined as -
f(x) = + 8
The given function is a constant function. This means that the value of the function remains the same irrespective of the value of {x} or the value in the function domain. So, at {x} = 10, the value of the function remains +8 only. This is true for all the values of {x}.
Therefore, the at {x} = 10, the value of the function remains +8.
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Write an equation that represents the line.
Use exact numbers.
Answer:
y = 3/4m + 2
Step-by-step explanation:
Distance from point 1 to point 2 is up 3, over 4
Point 1 intercepts (0, 2).
If grapes are 92% water and raisins are 20% water by weight, then how much did a quantity of raisins, which currently weighs 10 pounds, weigh when all the raisins were grapes
10 lbs of raisins contains 20% water by weight, so they contain
0.20 × (10 lbs) = 2 lbs
of water. This means the non-water portion of the raisins weighs 8 lbs. This weight stays the same throughout the drying process.
As grapes, they had a total weight of
8 lbs + w
where w is the water weight, and w happens to be 92% of this total weight. So
w = 0.92 × (8 + w)
Solve for w :
w = 7.36 + 0.92w
0.08w = 7.36
w = 92
Then the total weight of the grapes before they dried out is 100 lbs.
Express
as a trinomial.
(2x – 6)(x – 4)
Answer:
[tex]2x^2 - 14x + 24[/tex]
Step-by-step explanation:
Answer:
[tex](2x - 6)(x - 4) \\ 2 {x}^{2} - 8x - 6x + 24 \\ 2 {x}^{2} - 14x + 24 \\ thank \: you[/tex]
Hannah went to the school store to buy supplies and spent $16. She bought four more pencils than pens and two fewer erasers than pens. Pens cost $1.25 each, pencils cost $0.55 each, and erasers cost $0.75 each. If x represents the number of pens Hannah bought, write an equation in terms of x that can be used to find how many of each item she bought. Use your equation to determine algebraically how many pens Hannah bought.
The algebaraic equation required is :
2.55x + 0.7 = 16
The number of pens Hannah bought is 6
If :
x = number of pens
4 more pencils Than pens ; Number of pencils = x + 4
2 fewer erasers than pens ; number of erasers = x - 2
Total amount spent = $16
The total number of items bought is :
(x) + (x + 4) + (x - 2)
Multiplying by the cost of each :
1.25x + 0.55(x+4) + 0.75(x-2)
Hence, Total amount spent can be represented as :
1.25x + 0.55(x+4) + 0.75(x-2) = 16
1.25x + 0.55x + 2.2 + 0.75x - 1.50 = 16
2.55x + 0.7 = 16
The algebraic equation is : 2.55x + 0.7 = 16
The number of pens Hannah bought can be calculated thus :
2.55x + 0.7 = 16
2.55x = 16 - 0.7
2.55x = 15.30
x = 15.30 / 2.55
x = 6
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Answer:
Step-by-step explanation: x = the number of pens Hannah bought
(x + 4) = the number of pencils Hannah bought
(x - 2) = the number of erasers Hannah bought
The equation to solve would be 1.25x + 0.55(x + 4) + 0.75(x - 2) = 16
1.25x + 0.55(x + 4) + 0.75(x - 2) = 16.00
1.25x + 0.55x + 4 * 0.55 + 0.75x - 2 * 0.75 = 16.00
1.25x + 0.55x + 2.20 + 0.75x - 1.50 = 16.00
1.25x + 0.55x + 0.75x = 15.30
2.55x = 15.30
x = 6
Note: if you didn't get a Whole Number, you know that you must've made a mistake. You can't buy part of a pen or pencil or eraser.
x = the number of pens Hannah bought = 6
(x + 4) = the number of pencils Hannah bought = 6 + 4 = 10
(x - 2) = the number of erasers Hannah bought = 6 - 2 = 4
You can check your work: 1.25(6) + 0.55(6 + 4) + 0.75(6 - 2) = 1.25(6) + 0.55(10) + 0.75(4) = 16 (check!)
An experiment to determine how many breaths a squirrel takes per minute yields this data: minute 1: 65 breaths;minute 2: 73 breaths; minute 3: 67 breaths; minute 4: 71 breaths; minute 5: 62 breaths. Calculate the average number of breaths per minute.
The average number of breaths per minute would be 67.6 breaths per minute.
Average can be calculated by dividing the sum of the observation by the number of observations,
[tex]Average = \frac{sum of observations}{number of observation}[/tex]
Step by step Explanation:
Over the course of 5 minutes, the squirrel takes
65 + 73 + 67+ 71+ 62 = 338 breaths in 5 minutes
So, the sum of observation = 338 and
the number of observations = 5
So If you take that number and divide it by the number of minutes, you will get the average.
[tex]=\frac{338}{5}[/tex]
67.6 breaths per minute.
Thus, the correct answer is - 67.6 breaths per minute.
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Answer the following questions.
1. Trish can complete 10 problems in 60 minutes. At this rate, could she complete 25 problems in 130 minutes? Write your answer as YES or
NO.
2) The ratio of two to numbers is 3:7 . If the smaller number is 18, find the greater number
Answer:
42
Step-by-step explanation:
The 3 part of the ratio relates to 18
Divide by 3 to find the value of one part of the ratio.
18 ÷ 3 = 6 ← value of 1 part of the ratio , then
7 parts = 7 × 6 = 42 ← the greater number
Write the chemical formula for this molecule:
N—N
O
O
(NO)²
[tex]\huge\mathfrak\red{hope \: it \: helps}[/tex]
Which statement is true regarding the functions on the graph?
f(–3) = g(–4)
f(–4) = g(–3)
f(–3) = g(–3)
f(–4) = g(–4)
Answer:
f(-3)=g(-4)
Step-by-step explanation:
both functions intersect at point (-3;-4)..
Answer:
A
Step-by-step explanation:
e 2021
Community Gym charges a $50 membership fee and a $50 monthly fee. Workout Gym charges a $190
membership fee and a $40 monthly fee. After how many months will the total amount of money paid to
both gyms be the same? What will the amount be?
Find the value of
5³
(3/2)³
(-1/2)³
[tex]\huge\boxed{\underline{\bf \: Answer}}[/tex]
(1) Value of 5³
[tex] \sf{5}^{3} \\ = \sf5 \times 5 \times 5 \\ = \boxed{\bf 125}[/tex]
(2) Value of (3/2)³
[tex] \sf( { \frac{3}{2} })^{3} \\ \sf = \frac{ {3}^{3} }{ {2}^{3} } \\ \sf= \frac{3 \times 3 \times 3}{2 \times 2 \times 2} \\ = \boxed{ \bf \frac{27}{8} }[/tex]
=> The answer in decimal format is [tex]\boxed{\underline{\bf \: 3.375}}[/tex]
(3) Value of (-1/2)³
[tex] \sf( \frac{ - 1}{2} ) ^{3} \\ = \sf \frac{ { - 1}^{3} }{ {2}^{3} } \\ \sf = \frac{ - 1 \times - 1 \times - 1}{2 \times 2 \times 2} \\ = \boxed{ \bf \frac{ - 1}{8} }[/tex]
=> The answer in decimal format is [tex]\boxed{\underline{\bf \: -0.125}}[/tex]
_______
Hope it helps.
RainbowSalt2222
What are the domain and range of the function f(x) = 3/4 x+5?
Answer:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. The range is the set of all valid y values
The factorisation of 10xᴧ2 – 18xᴧ3 + 14xᴧ4 is
Answer:
2x^2 (5 - 9x + 7x^2)
Step-by-step explanation:
use the smallest exponent (x^2) and number (10) to factor
2 and x^2 could be factored from all
when factoring put exponents, you subtract them
2x^2 (5 - 9x + 7x^2)
ILL GIVE BRAINLIEST!!
Given the point A(-3,-3) and B(5,1), find the coordinates of the point P on the directed line segment AB that partitions AB in the ratio of 3:1.
Answer:
P(3 , 0)
Step-by-step explanation:
(x₁, y₁) = A(-3,-3) ;(x₂ , y₂) B(5, 1)
m : n = 3 : 1
[tex]P \left( \dfrac{mx_{2}+nx_1}{m+n},\dfrac{my_{2}+ny_{1}}{m+n} \right)\\\\P \left (\dfrac{5*3+(-3)*1}{3+1},\dfrac{3*1+1*(-3)}{3+1} \right)\\\\\\=P \left(\dfrac{15-3}{4},\dfrac{3-3}{4} \right)\\\\\\= P \left(\dfrac{12}{4},\dfrac{0}{4} \right)\\\\\\= P\left(3 , 0 \right)[/tex]