Answer:
10 feet
Step-by-step explanation:
The formula for the Perimeter fo a rectangle
= P = 2L + 2W
Where:
L = Length
W = Width
From the question
P = 80 feet
W = 30 feet
Hence:
80 = 2L + 2(30)
80 - 2(30) = 2L
80 - 60 = 2L
20 = 2L
L = 20/2
L = 10 feet
Hence, the length of the fenced area = 10 feet
Josh plans to spend at most $45 on a gift for his mother, including the $15 he plans to spend on flowers. Which inequality represents x, the range of amounts that Josh can spend on the gift?
Answer:
x ≤ $30
Step-by-step explanation:
Including the $15 for flowers, there is a budget of $45. Josh cannot spend more than $30 on a gift.
x can be less than or equal to $30
The inequality for the $x of gift x≤ 30.
What is inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), larger than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
For example, In the 12U Softball division, Olivia gets chosen. What is Olivia's age?
Olivia's age is unknown to you since the word "equals" is missing. However, because you are aware that she should be under or equal to 12, you can write Olivia's Age ≤ 12.
Given:
Total amount spend on gift = $45
price of flower= $15
So, the amount of gift only is
=45- 15
=$30
Thus, Josh can only spend $30 for the gift not more than that.
Hence, the inequality for the $x of gift
x≤ 30
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Diana is going camping with her family. Their campsite is 7/8 miles away. They walk at a steady speed of 2 1/2 mi/h. How many minutes will it take them to get to the campsite
Answer:
21 minutes
Step-by-step explanation:
Using the formula to calculate the time expressed as;
Speed = Distance/Time
Given:
Distance = 7/8 miles
Speed = 2 1/2 mi/hr
Required
Time in minutes
Substitute the given values into the formula;
Recall that:
S = D/T
T = D/S
Time = 7/8 ÷ 2 1/2
Time = 7/8 ÷ 5/2
Time = 7/8 * 2/5
Time = 7/4 * 1/5
Time = 7/20 hour
Since 1 hour = 60 minutes
7/20 hour = (7/20 * 60)minutes
7/20 hour = 7 * 3
7/20 hour = 21 minutes
Therefore it will take them 21 minutes to get to the campsite
Joey and Krysta are at the Richmond Fair and are waiting in line to ride on the Ferris Wheel. They are trying to figure how long they will need to wait before they get to the front of the line. The more people in the line ahead of them, the longer they will need to wait.
p = the number of people in line ahead of Joey and Krysta
w = the length of time Joey and Krysta will need to wait
Which variable is the independent variable?
Answer:
P, the number of people in line ahead of Joey and Krysta is the independent variable.
Step-by-step explanation:
Mrs. Garcia borrowed some money at the rate of 4% per annum for the first year, at the rate of 6% pe r annum for the next 2 years, and at the rate of 7.5% per annum for the period beyond 3 years. If he pays a total interest of ₱ 15 750 at the end of 5 years, how much money did he borrow?
Answer: ₱40,909.1
Step-by-step explanation:
Given data:
Rate for first year = 4%
Rate for next two years = 6%
Rate for the next 3 years = 7.5%
Interest paid back after 5years = ₱ 15,750
Solution:
How much did she borrow.
= let the sum borrowed be P
= P * 4 / 100
= 4P/100
= 1P/25.
For the next two years
= P* 6 * 2/100
= 12P/100
= 3P/25
For the next 3years
= P* 7.5*3/100
= 22.5P/100
= 9P/40.
1P/25 + 3P/25 + 9P/40 = 15750
77P/200 = 15750
P = 15750 * 200 / 77
P = 315,0000/77
P = ₱40,909.1
The amount borrowed is ₱40,909.1
4 6/7 + 3 5/7 please help me
Answer: The answer is 60/7 or in mixed number form it is 8 4/7...
to make it easier, all you do is make the fractions improper and then add... If they didn't have the same denominator then you would make them have the same denominator. But they already have the same denominator... Or in other words convert the fractions into improper fractions, then find the LCD and combine... 34/7+26/7
34+26/7
60/7
decimal form: 8.571428
mixed number form: 8 4/7
Hope this helps... Stay safe and have a great day/night!! :D
Answer:
about 8.6, or 8.57142857143
Step-by-step explanation:
4 6/7 + 3 5/7
= 28+6/7 + 21+5/7
= 34/7 +26/7
= 60/7
= about 8.6
Expand.
Your answer should be a polynomial in standard form.
(y2 + 6)(-2y + 7) =
Answer:
See attached image
Step-by-step explanation:
Use the FOIL method
First - multiply the first numbers inside the parentheses (y^2 and -2y)
Outer- multiply the first and last numbers inside the parentheses (y^2 and 7)
Inner - multiply the two numbers next to the closing and opening parentheses (6 and -2y)
Last- multiply the last two numbers in the parentheses. (6 and 7)
Then simplify to put it in standard form.
Which fraction represents the ratio of the red portion of the circle to the
complete circle?
Answer:
can you add a picture of the circle?
Step-by-step explanation:
A clothing store used the sign shown below to advertise a discount on shirts,
DISCOUNT
Buy Two Shirts
Get 50% Off Third Shirt
Celia wants to buy three shirts, which were originally priced $56 each. The store will
discount the price of the third shirt and then apply a 7% tax to the total cost of all
three shirts. Including the tax, what will be the mean cost of each shirt? (Round your
answer to the nearest cent).
Including the tax, the mean cost of each shirt is $
Answer:
$49.93Step-by-step explanation:
Original cost = $56
Cost of 3 shirts:
3*$56 = $168Cost of 3 shirts with discount:
168 - 1/2*56 = 168 - 28 = $140Add tax:
$140*1.07 = $149.8Mean cost of each shirt:
$149.8/3 = $49.93Write and solve an equation to find the number:
The perimeter of a rectangle patio is 64 feet. The length is 10 feet longer than the width.
What is the width of the patio (no units needed)
Answer:
11=w
Step-by-step explanation:
l = 10+ w
w = w
64= 2(10+w) + 2(w)
64= 20+2w +2w
64=20+4w
44=4w
11=w
If the weight of a package is multiplied by 5/6 the result is 10 lbs. Find the weight of the package.
Answer:
Step-by-step explanation:
1
. Start by making a "let statement."
Let
x
represent the weight of the package.
2
. Create an algebraic expression.
5
7
x
=
40.5
i
pounds
3
. Isolate for
x
by dividing both sides by
5
7
.
5
7
x
÷
5
7
=
40.5
i
pounds
÷
5
7
4
. Recall that in order to divide a fraction by another fraction, take the reciprocal of the divisor and change the division sign to a multiplication sign.
5
7
x
⋅
7
5
=
40.5
i
pounds
⋅
7
5
5
. Solve for
x
.
5
⋅
7
7
⋅
5
x
=
40.5
⋅
7
5
i
pounds
x
=
∣
∣
∣
∣
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
a
a
56.7
i
pounds
a
a
∣
∣
−−−−−−−−−−−−−−−
State the slope and the y-intercept for the graph of the equation. -x+y=4
Answer:
Slope: 1
Y-intercept: (0,4)
Step-by-step explanation: I hope that helps!
2. Next she needs to find her maximum heart rate m by subtracting her age a from 220. Write an
equation she can use.
Answer:
220 - a = m
Step-by-step explanation:
a is her age
The area of the trapezoid is 14 square feet. Write an equation that you can use to find the value of x.
An equation is
=14.
Answer:
The answer is (2+7)*2
Step-by-step explanation:
as you can see the you have to add the bottom to the top then multiply the answer by the height to what i did was i seen if there was anything that can add to 7 with the number 2 and 5 was so put 5 at the top and multiply 7 times two you get 14
Help!!!!!!!!!!!!!!!!!!!!!!!!
=======================================================
Explanation:
Look through the table to see when f(x) = g(x)
This happens when both are equal to 1, which is in the fourth row, or when x = -1.
In other words,
f(-1) = 1g(-1) = 1So f(-1) = g(-1)
We can then say the solution to f(x) = g(x) is x = -1.
(2x + 7y) (4x – 8y)
Answer:
= 8x^2 + 12xy − 56y^2
Step by step:
(2x+7y)(4x−8y)
=(2x+7y)(4x+−8y)
=(2x)(4x)+(2x)(−8y)+(7y)(4x)+(7y)(−8y)
=8x^2−16xy+28xy−56y^2
=8x^2+12xy−56y^2
Justin makes a necklace for his sister. Twelve beads take up 4 inches of
string. How many beads fit on 1 foot of string? Explain your answer.
1 point
Answer:
36
Step-by-step explanation:
12 inches are in a foot, 12 inches/4 inches=3, 12x4=36
How is (5 , -7) and (-5 , 7) related on a coordinate plane?
Answer:
they are on opposite quadrants and they meet exactly in the origin (0,0)
4/5 + 3/5 add following numbers and simplify
Answer:
1 2/5 is your answer in decimal form it is 1.4
4+3/5
7/5~Simplify this fraction~
1 2/5~Is your answer after you simplify~
Answer:
7/5, or 1 2/5 if you're looking for a mixed fraction.
Step-by-step explanation:
Since the denominators are the same, just add the numerators and keep the denominator the same. 7/5
Plzz what the answer I’m stuck
Answer:
the answer to your question is 576 square feet
Step-by-step explanation:
Step 1: 96 ÷ 4 = 24
Step 2: 24×24 =576
Given 3,8,14,x+6,2x-3,25,32,50 are in ascending order , whose median is 18. Find the unknown terms.
solving a compound inequality. check all that apply.
Answer:
The solutions are:
-28.25, -14.5, -2.25
Step-by-step explanation:
Given compound inequality is:
[tex]-17.5\leq \frac{2x+4}{3} <17.5[/tex]
The compound inequalities are broken down into two inequalities to find the solution
The two inequalities will be:
[tex]\frac{2x+4}{3} \geq -17.5[/tex] AND [tex]\frac{2x+4}{3}<{17.5}[/tex]
Solving both inequalities one by one
[tex]\frac{2x+4}{3} \geq -17.5\\2x+4 \geq -52.5\\2x \geq -52.5-4\\2x \geq -56.5\\\frac{2x}{2} \geq \frac{-56.5}{2}\\x \geq -28.25\\\frac{2x+4}{3} < 17.5\\2x+4 < 52.5\\2x < 52.5-4\\2x \geq 48.5\\\frac{2x}{2} \geq \frac{48.5}{2}\\x < 24.25[/tex]
The solution is:
-28.25 ≤ x < 24.25
We have to see which options lie in the solution range.
The solutions are:
-28.25, -14.5, -2.25
Shane and Gemma share 35 sweetss in the ratio 1 : 4 Gemma eats 10 of her sweets and then gives Shane 1/2 of the sweets she has left. H ow many sweets does Shane have now?
Answer:
14 sweets
Step-by-step explanation:
5x+35
x=7
7*4=28
(28-10)/2=7
7+7=14
In a lighting, green light glows after every 12 seconds, red light glows after every 30 seconds, blue light glows after every 34 seconds and yellow light glows after every 56 seconds. Find the least time in minutes after which they all glow together.
Answer:
238 minutes
Step-by-step explanation:
We are told:
In a lighting, green light glows after every 12 seconds, red light glows after every 30 seconds, blue light glows after every 34 seconds and yellow light glows after every 56 seconds.
We solve this question by using LCM Method
We find the Least Common Multiple of 12, 30, 36 and 56
= 14,280 seconds.
Hence, the least time in seconds after which they glow together is 14,280 seconds.
To find the least time in minutes after which they all glow together.
We convert from seconds to minutes
60 seconds = 1 minute
14280 seconds = x
Cross Multiply
60 × x = 14280 × 1
x = 14280/60
x = 238 minutes
The least time in minutes after which they all glow together.
238 minutes
Answer:
238 minutes
Step-by-step explanation:
LCM OF 12,30,34,56
= 14280
THEN, 14280 seconds convert to minutes
= 238 minutes
Given the points P(2, –6) and R(8, 3), what is the component form of Vector P R?
⟨6, -3⟩
⟨10, -3⟩
⟨6, 9⟩
⟨10, 9⟩
Answer:
C
Step-by-step explanation:
The component form of vector PR is ⟨6, 9⟩.
How to determine the component form of vector PRTo find the component form of vector PR, we need to subtract the coordinates of point P from the coordinates of point R.
The x-component of the vector is obtained by subtracting the x-coordinate of point P from the x-coordinate of point R:
x-component = 8 - 2 = 6
The y-component of the vector is obtained by subtracting the y-coordinate of point P from the y-coordinate of point R:
y-component = 3 - (-6) = 3 + 6 = 9
Therefore, the component form of vector PR is ⟨6, 9⟩.
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Which is equivalent to -9.4c + 6 + c – 5.9?
A. -8.4c – 0.1
B. -8.4c + 0.1
C. 10.4c + 0.1
D. -10.4c + 0.1
Answer:
B
Step-by-step explanation:
reorganize to combine like terms
-9.4c+c or c-9.4c (they are the same) = -8.4c
6-5.9=0.1
-8.4c+0.1
Answer:
c
Step-by-step explanation:
brcause i have did it
PLEASE HELP!! WILL GIVE BRAINLIEST!!!
12 cups= 3 quarts
there ya goo
-c+1 > 2 now this one
-c + 1 > 2
-c > 2-1 Move 1 to subtract.
-c > 1
c < -1 When the coefficient is negative, moving the negative to another side as changing the sign of Inequality to opposite.
Thus, the answer is c < -1
Please answer the question below
Answer:
50 i think
Step-by-step explanation:
please help i will give Brainliest
7.4 = -t/8.5
t = ?
Answer:
-62.9
Step-by-step explanation:
7.4= [tex]\frac{-t}{8.5}[/tex]
8.5 (7.4)=-t
62.9=-t
t=-62.9
The temperature on Mars may reach a high of 70 degrees Fahrenheit at the equator in the summer. It may reach a low of -225 degrees Fahrenheit at the poles. Which expression gives the difference between those temperatures?
Answer: See explanation
Step-by-step explanation:
Since we are informed that the temperature on Mars may reach a high of 70 degrees Fahrenheit at the equator in the summer and may also reach a low of -225 degrees Fahrenheit at the poles.
The expression that gives the difference between those temperatures would then be calculated as:
= 70°F - (-225°F)
= 70°F + 225°F
= 295°F
