Answer:
Required Answer:-Let
[tex]\qquad\quad {:}\longmapsto\sf The\: breadth =x\: ft[/tex]
[tex]\qquad\quad {:}\longmapsto\sf The\:length=x+1ft[/tex]
[tex]\qquad\quad {:}\longmapsto\sf Area=210ft^2 [/tex]
As we know that in a rectangle[tex]{\boxed {\sf Area=length\times Breadth}}[/tex]
Substitute the values[tex]\qquad\quad {:}\longmapsto\sf x (x+1)=210 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf x^2+x=210 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf x^2+x-210=0 [/tex]
Factorise[tex]\qquad\quad {:}\longmapsto\sf x^2+15x-14x-210=0 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf x (x+15)-14 (x+15)=0 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf (x+15)(x-14)=0 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf x+15=0\:or\:x-14=0 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf x=-15\:or\:x=14 [/tex]
In menstruation there is no negative value .So (x=-15) can't be possible.Hence correct value
[tex]\qquad\quad {:}\longmapsto\sf x=14[/tex]
__________________________[tex]\qquad\quad {:}\longmapsto\sf Breadth =x=14ft[/tex]
[tex]\qquad\quad {:}\longmapsto\sf Length=x+1=14+1=15ft [/tex]
Zhen designs a character for a video game. He draws three sizes of the character on grid paper. Zhen use the expression 6 +s2 to find the number of grid squares in a character of any size s. Find the number of grid squares in a character of size 7. Show your work.
Answer:
Is there a grid suare you can show that comes on th e
answer if there is just edit your answer so can edit this answer if not then i and try
Step-by-step explanation:
The number of grid squares in a character of size 7 is 55.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
The expression is given in the question as:
⇒ 6 + s² ....(i)
We can use the expression 6 + s² to find the number of grid squares in a character of size s.
As per the given question, we are looking for the number of grid squares in a character of size 7.
Substitute the value of s = 7 in the expression gives us :
⇒ 6 + 7²
⇒ 6 + 49
⇒ 55
Therefore, the number of grid squares in a character of size 7 is 55.
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Drag each figure to show if it is similar to the figure shown or why it is not similar. Math item stem image
Answer:
1,900*7 13,300
Step-by-step explanation:
1,000+900+700
For problems d-g, find the measures of the angles marked
d, e, f, and g in this parallelogram.
how many terms are in 6m+6n
if sally made 75$ in 5 hours of babysitting and andrea made 64$ in 4 hours of babysitting who has the higer unit rate and by how much
Answer:
75/5=15
64/4=16
Andrea has a higher babysitting rate by $1
Step-by-step explanation:
Answer:
Andrea
Step-by-step explanation:
Sallys Unit Rate is 15 dollars an hour
Andreas Unit Rate is 16 dollars an hour
So Andrea has a Higher Unit Rate
7
[tex]7 - 9x - 15 + 12x[/tex]
- 9x - 15 + 12x
Answer:
the 6
Step-by-step explanation:
Identify the slope and y-intercept of the graph that represents each linear situation and interpret what
they mean. Then write an equation in slope-intercept form and use it to solve the problem.
A local club charges an initial membership fee as well as a monthly cost. The cost C in dollars is a linear
function of the number of months of membership.
Find the cost of the membership after 9 months.
Membership Cost
Time (months)
Cost ($)
0
$140
6
$452
12
$764
The cost of membership after 9 months is $[
simplify √48 - √72 - √27 + 2√18
Answer:√3
Step-by-step explanation:
What is the answer for number 10?
Answer:
I believe its C
Step-by-step explanation:
Which ordered pair is a solution to the equation y + 7 = x?
Answer:
(7,0)
Step-by-step explanation:
A store sells a package of 25 trading cards for $5.25. What is the cost of 1 trading
card?
Answer:
$0.21
Step-by-step explanation:
You have to divide 5.25 by 25 since you are trying to figure out the unit price. Once you do this you should get 0.21.
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What is the domain of the square root function graphed below?
x>1
x_>1
x>3
x_>3
Answer:
x>3
Step-by-step explanation:
domain is on the x axis, so the point is 3, 1
The sum of two numbers is 25 one number is 5 less than the other number
Sheila is trying to run a certain number of miles by the end of the month. If Sheila is 20% of the way to achieving her goal and she has already run 4 miles, how many miles is she trying to run by the end of the month?
Answer:
I think its 20 miles after the whole month
Step-by-step explanation:
20%=4
40%=8
60%=12
80%=16
100%=20
Sheila is trying to run 20 miles by the end of the month
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Sheila is trying to run a certain number of miles by the end of the month and she is 20% of the way to achieving her goal which is 4 miles.
Assuming she is trying to run x miles.
So, 20% of x miles is 4 miles.
∴ (20/100)×x = 4.
0.2x = 4.
x = 4/0.2.
x = 20 miles.
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Which fraction is in simplest form? 3/9, 5/12, 6/14, 4/22
Answer:
5/12
Step-by-step explanation:
Dividing each fraction by a divisible number results in
3/9= 1/3
6/14=3/7
4/22=2/11
Si cada kilowatt por hora (kW.H) vale $ 0.95. ¿cuál será al cabo de un mes el costo debido a un bombillo de 100 W que permanece encendido 10 horas diarias?
Answer:
Un bombillo de 100 W consume 100W por hora.
Sabemos que el bombillo esta encendido 10 horas diarias, entonces en un día consume:
10*100 W = 1000 W = 1 kW.
En un día, hay 24 horas, entonces el consumo por hora (diario) es:
C = 1kW/24h = 0.042 kW/h.
El costo por kW/h es $0.95, entonces el costo diario es:
N = $0.95*0.042 = $0.0399
Y un mes tiene, en promedio, 30 días, entonces el costo mensual de este bombillo va a ser 30 veces el coste diario:
Costo mensual = 30*$0.0399 = $1.197
A pair of pants at Cool Topic originally cost $59. They are on sale for $32. The percent change, rounded to the nearest percent, in the cost of the pants is what and this is an percent increase or decrease
Answer:
Step-by-step explanation:
the answer is 46% I believe its percent increase
Answer:
46% increase
Step-by-step explanation:
A pair of pants at Cool Topic originally cost $59. They are on sale for $32. The percent change, rounded to the nearest percent, in the cost of the pants is what and this is an percent increase or decrease
The actual length of a soccer field is 300 feet. If the width of the field is 180 feet, then what should the width of the scale drawing be in inches?
Answer:
2160 inches
Step-by-step explanation:
The actual length of a soccer field is 300 feet. If the width of the field is 180 feet, then what should the width of the scale drawing be in inches?
1 foot = 12 inches
Width of the field = 180 feet
Hence:
1 foot = 12 inches
180 feet = x
x = 180 × 12 inches
x = 2160 inches
Width of the scale drawing in inches = 2160 inches
Please help scatter plot problem multiple choice .
Thang decided to borrow $6000 from his local bank to help pay for a car. His loan was for 3 years at a simple interest rate of 9
%. How much interest will Thang pay?
Answer:
Thang will pay $1620 interest
Step-by-step explanation:
Simple Interest
Definition: Interest calculated on the original principal only of a loan or on the balance of an account.
Unlike compound interest where the interest earned in the compounding periods is added to the new principal, simple interest only considers the principal to calculate the interest.
The interest earned is calculated as follows:
I=P.r.t
Where:
I = Interest
P = initial principal balance
r = interest rate
t = time
Thang borrowed P=$6000 from his local bank. The loan was for t=3 years at a simple interest rate of r=9% = 0.09. The interest is calculated as:
I = 6000*0.09*3
I = 1620
Thang will pay $1620 interest
At the market, a pear costs b cents and an apple costs 7 cents
less than a pear. Randy buys 4 pears and an apple. How much
does Randy pay in terms of b?
Answer:
Randy has to pay [tex]\mathbf{5b-7}[/tex]
Step-by-step explanation:
Cost of pear = b
Cost of apple =b-7
Randy buys pears = 4
Apple = 1
We need to find cost in terms of b
So, the equation will be:
[tex]4b+1(b-7)\\4b+b-7\\5b-7[/tex]
So, Randy has to pay [tex]\mathbf{5b-7}[/tex]
The order pair (0 , 0) is a solution to the inequality y < x -2
False
or
True
Answer:
false
Step-by-step explanation:
I put it into a graphing calculator
Answer:
true
Step-by-step explanation:
0 < -2
I hope that helped :)
Which of the following correctly completes the equation below?
0.63 x = 630
101
102
103
10°
Answer:
10 to the 1st power so the first one
Step-by-step explanation:
HELP ASAP PLEASE WILL MARK BRAINIEST
Some people use a rule to see how many hours a child
should sleep at night.
Subtract the child's age in years from 30,
then divide the result by 2.
Tony is 6 years old.
According to the formula, how many hours should he sleep for?
Kevin gave 5/12 of his candy bar to Emily and 1/2 of his candy bar to David. How much of the candy bar does Kevin have left for himself? Your answer should be in the form of a simplified fraction. *
Answer:
[tex]Fraction\ Left = \frac{1}{12}[/tex]
Step-by-step explanation:
Given
[tex]Emily = \frac{5}{12}[/tex]
[tex]David = \frac{1}{2}[/tex]
Required
Determine the fraction left
The whole candy will be represented with 1:
So:
[tex]Emily + David + Fraction\ Left = 1[/tex]
This gives:
[tex]\frac{5}{12} + \frac{1}{2} + Fraction\ Left = 1[/tex]
Collect Like Terms
[tex]Fraction\ Left = 1 -\frac{5}{12} - \frac{1}{2}[/tex]
Take LCM
[tex]Fraction\ Left = \frac{12 - 5 - 6}{12}[/tex]
[tex]Fraction\ Left = \frac{1}{12}[/tex]
Hence, the fraction left is 1/12
Last year, a popular song was downloaded 8.71 X 10^7 times. Write the number of
times the song was downloaded in standard form.
Answer:
Actually it would be 87,100,000 in standard form.
Step-by-step explanation:
Which relation represents a function?
A: {(5, -9), (3, -11), (0, -13), (5, -15)}
B: {(-4, -13), (-1, -7), (2, -1), (2,5), (6, 7)}
C:{(-8.1, 2), (-7.6, 2), (-7.1, 2), (-6.6, 2)}
D: {(-1, ), (-1, 1), (1, 2), (1, 4), (3, 8)}
Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
-x+5y=-7
-3x +14y=-18
Answer:
no solution
Step-by-step explanation:
What is 10% of 100,000
Answer:
10% of 100,000 = 10,000
Step-by-step explanation:
100,000 x 0.10 = 10,000
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Answer:
10,000
Step-by-step explanation:
10%=0.10
Of=Multiplication
0.10 x 100,000
10,000