60 percent of the original price is saved if the futon bed is purchased.
The percent of the original price that will be saved can be calculated as followsThe original price of the futon bed is $500
The new price is $200
The first step is to calculate the price change
Price change= 500-200
= 300
The amount saved can be calculated as follows
300/500 × 100
= 0.6 × 100
= 60
Hence 60 percent of the original price which is $500 will be saved
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The graph of the quadratic function x2−4x−5=0 crosses the x-axis at x=−1 and x=5. What are the zeros of this function?
Answer:
x = 5, -1
find the roots and the x
525 less than c gives 699. translate to algebraic equation and Solve the translated sentence.
A function f is given, and the indicated transformations are applied to its graph (in the given order). Write the equation for the final transformed graph.
f(x) = x^2; shift 6 units to the left and reflect in the x-axis
Answer:
[tex]y=-(x+6)^2[/tex]
Step-by-step explanation:
Shifting 6 units left, we get:
[tex]x^2 \longrightarrow (x+6)^2[/tex]
Reflecting over the y-axis. we get:
[tex](x+6)^2 \longrightarrow -(x+6)^2[/tex]
So, the final equation is
[tex]y=-(x+6)^2[/tex]
1) Six decreased by five times a number is thirty-one.
2) The product of five and a number increased by seven is twenty-seven.
Answer:
[tex]6 - (5 \times x) = 31[/tex][tex]5 \times x + 7 = 27[/tex]Multiply the number by 4. Add 6 to the product. Divide this sum by 2. Subtract 3 from the quotient.
Answer:
-1.5
Step-by-step explanation:
Let x be the number
(4x+6)÷2 =-3
2(2x+6)÷2=3
2x+6=3
2x=3-6
2x=-3
x=-3÷2
x=--1.5
The number 27.6 is what percent of 69?
The number 27.6 is ____% of 69.
(Round to the nearest whole number, if necessary.)
Answer:
27.6 is 40% of 69.
Step-by-step explanation:
Suppose that E and F are points on the number line.
If EF=15 and E lies at 4, where could F be located?
If there are several locations, separate them with commas.
When E = 4 on the number line, then F can either be 11 or be 19 to make EF as 15 units.
We are given that:
E and f are the points on a number line.
We are also given that the distance between E and F is:
EF = 15 units
Now, we know that E lies at 4
E = 4
We need to find the location of the point F
Now, since we also know that:
EF = F ± E
Substituting the values:
15 = F ± 4
We get that:
15 = F + 4 or 15 = F - 4
F = 15 - 4 or F = 15 + 4
F = 11 or F = 19
Therefore, we get that, when E = 4 on the number line, then F can either be 11 or be 19 to make EF as 15 units.
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A two-liter bottle contains 53.1 centiliters of oil and 7.9 deciliters of water. How much more liquid is needed to fill the bottle?
Answer: 0.679 liters
Step-by-step explanation:
A centiliter is a measure of volume equal to one hundredth of a liter
Hence,
53,1*0.01=
0.531 liters
A deciliter is a measure of volume equal to one tenth of a liter
Hence,
7.9*0.1=
0.79 liters
0.531+0.79=
1.321 liters
2-1.321=
0.679 liters
Gillian earns $7.50 an hour babysitting on the weekends. Last week she babysat for 2.2 hours on Saturday and 3.5 hours on Sunday. How much did Gillian earn?
Group of answer choices
Gillian earned $42.75 last week.
Arithmetic operators are used to perform mathematical operations like addition, subtraction, multiplication and division.
...
There are 7 arithmetic operators in Python :
Addition.
Subtraction.
Multiplication.
Division.
Modulus.
Exponentiation.
Floor division.
Gillian work
2.2 hours+3.5 hours= 5.7 hours
5.7 hours× $7.50 = $42.75
Therefore Gillian earned $42.75
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find the number of stamps measured 3cm × 4cm needed to fill the square card with a side of 12cm
Answer:
Breadth of stamp=3 cm
Length of stamp=4 cm
Area of stamp = Area of rectangle = l*b = 3*4 = 12 cm^2
Side of square card = 12 cm
Area of card = Area of square = side^2 = 12^2 = 144 cm^2
No. of stamps that can be filled in card
= Area of card / Area of stamp
= 144/12
= 12
:. 12 stamps can be filled in a card of side 12 cm.
Find the five number summary for Q3
A water hose cost 3.60 per meter. Sam buys a 4.5 m long hose. how much does sam pay?
Step-by-step explanation:
for 1m=3.60
for 4.5m
4.5(3.60)=16.30
16.40 is the cost!!!!
PLEASE HELP MEEEE ILL MARK AS BRAINLIEST
For which table would 70 be the missing value, x?
Answer:
Table 3 → 5 (5× 14=70)
What is the slope of the line y=x+4?
O A.
1112
OB.
OC. 4
OD. -4
HELP PLEEAAASE!!!
Use the digits 1 to 9 only once to create an equation where x has the greatest possible value. __+ x =__
Answer:
Easy. 1+x=9 sounds like the highest factor for x
11h-5(h+3)=-63 find they value of h
Answer:
h = -13
Step-by-step explanation:
Use PEMDAS to solve this problem.
11h - 5(h + 3) = -63
~Use distributive property to simplify [ a(b + c) = ab + ac ]
11h - 5h + 15 = -63
~Combine like terms
6h + 15 = -63
~Subtract 15 to both sides
6h = -78
~Divide 6 to both sides
h = -13
Best of Luck!
Answer:
Step-by-step explanation:
11h - 5(h + 3) = -63
-Multiply parenthesis so
-5(h) + -5(3) = -5h - 15
New equation: 11h - 5h - 15= -63
+15 +15
(add 15 to both sides)
[tex]6h=-48\\\\\frac{6h}{6} =\frac{-48}{6} \\ \\ h=-8[/tex]
h = -8
Which of the following groups of words are listed in alphabetical order?
A) tank, target, tap, tangerine
B) peak, pearl, peanut, peasant
C) light, lock, locust, lottery
The groups of words that are listed in alphabetical order will be B. peak, pearl, peanut, peasant.
What is alphabetical order?It should be noted that alphabetical order simply had to do with the arrangement based on the alphabet.
In this case, the groups of words that are listed in alphabetical order will be peak, pearl, peanut, peasant.
Therefore, the correct option is B.
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The dress store sells sweatshirts ($8) and swimsuits ($12)
Answer: 20
Step-by-step explanation:
because 8+12=20
Please answer this correctly my grade depends on it, also i have other questions like this so feel free to answer them.
The domain and range of of the graph in interval notation are [-4,3) and (-5,5).
Domain and range of a graph.The domain are the independent variables for which an expression or equation exists while the range are the dependent variables for which an expression or equation exists.
The given graph is a piecewise function since there are several lines that make up the graph.
Te domain are values of the function lying along the x-axis of the line graph while the range are values of the function along the y-axis of the line graph.
Based on the explanation, we can conclude that the domain of the graph in interval notation will be [-4,3) and the range of the graph will be (-5,5).
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Please answer as soon as possible correctly
Answer: The answer will be in the explanation
Step-by-step explanation:
In step 2 she made the mistake of not dividing the 12/2 and replacing 5 with -13. In step 4 she made the mistake of removing the coefficient. The correct way to do it is this way. Look below on how to do it correctly!
(\sqrt[3]{125}-12/2)(4-6)^2
(5-12/2)(4-6)
(5-6)(4-6)^2
-1(4-6)^2
-1+4
3
Hope this helps owo
What are these answers?
Answer:
1: 60 2: 45
Step-by-step explanation:
60, 90, 30 triangle
45 45 90 triangle
Beau lifts weights at his local gym on a regular basis. When he started working out, he weighed 127 pounds. Beau kept track of his weight and found that he gained 2 pounds every month. If Beau’s goal is to weigh at least 155 pounds after working out for m months in a row, which inequality best represents this situation?
Answer: it would take 19 months to get to 155
Step-by-step explanation:
If Beau weighed two more each month and wanted to get to 155 then you count by two's and see that it would take 19 months to weight 155
If that was the question, I hope this helps
if that was not the question, I am sorry and will try to help more.
What is (3.3 x 107) (5.2 x 108) in scientific notation?
OA 17. 16x 1015
A.
OB. 1.716x 1016
OC. 17.16x 1056
OD. 1.716x 1057
Step-by-step explanation: I hope this helps.
Answer: The answer is B.
A computer programmer receives a weekly wage of $1350, and &229.50 is deducted for income tax. Find the percent of the computer programmer’s salary deducted for income tax.
The percent of the computer programmer’s salary deducted for income tax is 17%.
What is percentage of a number?
A percentage is a ratio or number that can be expressed as a fraction of 100. In order to calculate a percentage of a number, we must divide it by 100 and then multiply the resulting number by 100. The proportion therefore denotes a component per 100. A percentage of one hundred is what is meant by the word "percent."
Given, weekly wage is $1350 and deduction amount for income tax is $229.50.
The percent of deduction is
[tex]\frac{229.50}{1350} \times 100\\=0.17 \times 100\\=17[/tex]
Therefore, the percent of the computer programmer’s salary deducted for income tax is 17%.
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If D is the midpoint of CE¯¯¯¯¯¯¯¯, CD = x + 7, and CE = 5x - 1, determine each missing value.
x=
CD=
CE=
DE=
Answer:
5; 12; 24; 12.
Step-by-step explanation:
1) if D is midpoint, then 2*CD=CE, it means
2) 2(x+7)=5x-1; ⇔ 3x=15; ⇒ x=5;
3) CD=x+7; ⇒ CD=12;
CE=5x-1; ⇒ CE=24;
DE=CD; ⇒ DE=12.
I have 3 questions the first one is What is an algebraic expression for “10 more than the product of 9 and a number y”? And the second one is Evaluate the following expression: (10 - 3y) - 1 , if y = 3. last one is Find the Quotient: 55 -211
From these problems, we have that:
The algebraic expression is: 10 + 9y.When y = 3, the expression has a value of 0.The quotient between two numbers is the division between them(it is not clear which numbers are in the quotient).What is the equivalent algebraic expression?The product of 9 and y is given by 9y.10 more than the expression is 10 added to the expression, hence 10 + 9y.Hence the algebraic expression is: 10 + 9y.
How to find the numeric value of a function/expression?To find the numeric value of a function, we replace each instance of the variable by the desired value.
For this problem, the expression is:
(10 - 3y) - 1.
When y = 3:
(10 - 3 x 3) - 1 = 1 - 1 = 0.
What is the quotient between two amounts?The quotient between two amounts a and b is given by a divided by b. For example, the quotient between 10 and 2 is:
10/2 = 5.
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Find the derivative:
y=(1+cosx)/(1+sinx)
I NEED STEPS
[tex]y=\cfrac{1+cos(x)}{1+sin(x)}\implies \cfrac{dy}{dx}=\stackrel{\textit{\Large quotient rule }}{\cfrac{-sin(x)( ~~ 1+sin(x)~~ )-( ~~ 1+cos(x) ~~ )cos(x)}{( ~~ 1+sin(x) ~~ )^2}} \\\\\\ \cfrac{dy}{dx}=\cfrac{-sin(x)-sin^2(x)-cos(x)-cos^2(x)}{( ~~ 1+sin(x) ~~ )^2} \\\\\\ \cfrac{dy}{dx}=\cfrac{-sin(x)-cos(x)-( ~~ sin^2(x)+cos^2(x) ~~ )}{( ~~ 1+sin(x) ~~ )^2} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill {\LARGE \begin{array}{llll} \cfrac{dy}{dx}=\cfrac{-sin(x)-cos(x)-1}{( ~~ 1+sin(x) ~~ )^2} \end{array}}~\hfill[/tex]
AB : BC = 3:2
Point B ∈ AC . Find the lengths of segments AB and BC if AC = 20 cm
The length of the segments AB and BC if AC = 20 then:
AB = 12cm
BC = 8cm
What is the simplest definition of a line segment?In geometry, a line segment is defined as two different points on a line. In contrast, a line segment is a piece of a line that connects two points. A line has no endpoints and runs indefinitely in both directions, whereas a line segment has two fixed as well as definite endpoints.
Is there a distinction between a line segment as well as a ray?Yes. A ray is not the same as a line segment. A ray has one endpoint, but a line segment has two. The ray's one end extends indefinitely, whereas the endpoints of a line segment are always specified and fixed.
According to the given data:We know that:
a:b=c:d as a/b=c/d
AB:BC = 3:2
is AB/BC=3/2
AB=3/2*BC
AC=20=AB+BC
So,
20=3/2*BC+BC
13/2BC=20
BC=8cm
AB=20-8=12cm
The length of the segments AB and BC if AC = 20 then:
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Solve for the percentage in the problem. Round to the nearest tenth of a percent.
$953 is _____% of $1717
Select one:
O a. 0.6
O b. 0.1
O c. 180.2
O d. 55.5
What is the inverse of this function?
f(x)=√x
+ 3, x ≥ − 3
f-¹(x) =
x²-
-
for x ≤
Answer:
4, 3, 0
Step-by-step explanation:
Let f(y)=x.
[tex]x=-\frac{1}{2}\sqrt{y+3} \\ \\ -2x=\sqrt{y+3} \\ \\ 4x^2=y+3 \\ \\ y=f^{-1}(x)=\boxed{4}x^2-\boxed{3}[/tex]
The domain of the inverse is the same as the range of the original function. For the original function, we know that it is decreasing, so the range is
[tex]y\leq -\frac{1}{2}\sqrt{-3+3}=0[/tex]
and hence the domain of our inverse is
[tex]x \leq 0[/tex]