Answer:
(a) 135
(b) 28%
Step-by-step explanation:
We can write equations relating pears to oranges, solve them, and then find the number of apples. Let p, o, and 'a' represent the numbers of pears, apples, and oranges.
p/o = 5/3 . . . . . the ratio of pears to oranges is 5:3
p -o = 54 . . . . . there are 54 more pears than oranges
a -o = 3 . . . . . . there are 3 more apples than oranges
__
a)Multiply the first equation by 3/5o to get ...
3/5p = o
Substitute that into the second equation:
p -(3/5)p = 54
2/5p = 54 . . . . . . simplify
p = 54(5/2) = 135 . . . . multiply by 5/2 to get the number of pears
There are 135 pears in the basket.
__
b)a = 3 +o = 3 +3/5p = 3 +3/5(135) = 3 +81 . . . . solve for the number of apples
a = 84
The percentage of fruits that are apples is ...
apples/total = 84/(135 +81 +84) = 84/300 = 28/100 = 28%
28% of the fruits are apples
You will purchase some CDs and DVDs. If you purchase 9 CDs and 8 DVDs, it will cost you $95.35, if you purchase 8 CDs and 9 DVDs, it will cost you $101.00. Write and solve a system of equations to answer the following questions.
Each CD costs ____ and each DVD costs____
Answer:
Dvd= $8.6
Cd= $2.95
Step-by-step explanation:
What will be the total cost of Maria's ARM if the term of the loan were 25 or 20 years instead of 30? Use the variable rate loan calculator to find the answers. Write them in the spaces below.
Mortgage Term | Total Cost
25 years: |
20 years: |
Answer:
The total cost of the loan goes down as the term decreases. Although the amount of the loan itself remains the same, the total amount of interest Maria would have to pay in interest decreased when the term of the loan decreased. However, the monthly payments increased when the term decreased. So, a shorter term saves interest but requires greater monthly payments.
Step-by-step explanation:
What is the value of x in the figure below?
Answer:
9
Step-by-step explanation:
3x+8 = 35
3x = 27
x = 9
Hope this helps :)
Step-by-step explanation:
Here, (3x + 8)° and 35° are vertically opposite angles which are equal, therefore,
3x + 8 = 35
3x = 35 - 8
3x = 27
x = 27/3
x = 9
Hope it helps you!!PLEASE HELP
what is the coefficient in the expression below 2x-8
Answer:
2x - 8
Parts of an equation:
2 - coefficient
x - variable
8 - constant
The number 2 is not a coefficient in the expression. FALSE.
The expression has three terms. FALSE. two terms only: 2x & 8
The variable in the expression is x. TRUE
The number 2 is a constant in the expression. FALSE
The expression has one variable term. FALSE. 2x is term but it's a combination of a number and a letter. Variable term is letter only.
Hello.
The coefficient is the number before a variable (letter)
The constant is also a number.
What's the difference between a constant and a coefficient?
Well, a coefficient is always before a variable, and a constant is just a number (without any variables next to it)
In this case, the variable is x, the number before x is 2, and 8 is the constant.
Therefore, 2 is the coefficient in this expression.
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
the measure of one interior angle of a triangle is 45°. What can you conclude about the other two interior angles of the triangle?
One of the other angles must be a right angle.
The sum of the measures of the other two angles is 135°.
The other two angles must be acute angles.
One of the other angles must have a measure greater than 90°.
Answer:
The sum of the measures of the other two angles is 135°.
Step-by-step explanation:
The sum of the interior angles of a triangle will add up to 180°. So by subtracting 45° from 180°, the other two angles have to add up to 135°.
Answer:
The sum of the measures of the other two angles is 135° or b
Step-by-step explanation:
factor the polynomial below completely
**21* 3x+6
O A. (X+3)(x+3)
O B. (X2 + 2)(x+3)
O c. (+2)(x+2)
O D. (x2+3)(x + 2)
write an inequality for the situation below: Bring at least $7.50 to see the play.
need help Asapppp please i can’t figure it out or find answers. i will mark as the brainliest please
Answer:
sorry this is wrong. the wright answer is y = -4x+3
Step-by-step explanation:
Answer and get Brainliest <3
Answer:
width = 9/2 inches, length = 18 inches
Step-by-step explanation:
Step-by-step explanation:
l = length
w = width
l×w = 81 in²
l = 2w + 9
we can use the identity of the second equation in the first equation :
(2w + 9)×w = 81
2w² + 9w = 81
2w² + 9w - 81 = 0
the general solution to such a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = w
a = 2
b = 9
c = -81
w = (-9 ± sqrt(9² - 4×2×-81))/(2×2) =
= (-9 ± sqrt(81 + 648))/4 =
= (-9 ± sqrt(729))/4 = (-9 ± 27)/4
w1 = (-9 + 27)/4 = 18/4 = 9/2 in
w2 = (-9 - 27)/4 = -36/4 = -9
a negative solution for a side length does not make any sense, so, width = 9/2 in is the only valid solution.
l = 2w + 9 = 2×9/2 + 9 = 9+9 = 18 in
so, the last answer option is correct.
please answer quickly
Answer:
Given,
Area of the Square = ( x² - 10x + 25 ) m²
We have to find: Length of the side of the square.
Let s be the side of square.
We find length of side of the by using factorization.
According to the question,
s² = x² - 10x + 25
s² = x² - 5x - 5x + 25
s² = x( x - 5 ) - 5( x - 5 )
s² = ( x - 5 )( x - 5 )
s² = ( x - 5 )²
Taking square root on both sides we get,
s = x - 5
Therefore, Expression that represents the length of one side of the square is x - 5.
Step-by-step explanation:
Hurry please!
What is the slope of a line parallel to the line whose equation is x + 2y = -14.
Fully simplify your answer.
Answer:
Slope of the line x +2y =14 will be -1/2 since y = -1/2x+7, where m = -1/2 and c = 7.
Step-by-step explanation:
Answer:
2 Answers By Expert Tutors. Slope of the line x + 2y = 14 will be -1/2 since y = -1/2x+7, where m = -1/2 and c = 7. Now, the slope of the line perpendicular to this equation will be m_1 = -1/m = -1/ (-1/2) = 2.
Step-by-step explanation:
In the function f(x) = 3x + 2, f(5) = ________.
Answer:
17
Step-by-step explanation:
In this function, x = 5, so replace the x with 5 in the equation, multiply by 3, add 2, and 17 is the answer.
Answer:
[tex]f(x)=17[/tex]
Step-by-step explanation:
[tex]f\left(x\right)\:=\:3x\:+\:2;\:f\left(5\right)[/tex]
For f(x)=3x+2, substitute x with 5
[tex]f(x)=3(5)+2[/tex]
[tex]f(x)=17[/tex]
~
linear equations and inequalities
Answer: the question wasn't clear hence just defined the meaning to it
Step-by-step explanation:
A linear inequality resembles in form an equation, but with the equal sign replaced by an inequality symbol. The solution of a linear inequality is generally a range of values, rather than one specific value. Such inequalities arise naturally in problems involving words such as 'at least' or 'at most'.
Dalton and Connor each invest money. The function f(x) = 850(1.07)x models the value of Dalton’s account after x years. The function g(x) = 844(1.06)x models the value of Connor’s account after x years. What is the difference between the percentage points of the two annual interest rates?
A. 7%
B. 1%
C. 6%
D. 4%
2 2/3 x64 come on i give you lot of points
Answer:
170 2/3
Step-by-step explanation:
2 2/3 x 64 is the same thing as:
[tex]\frac{8}{3}[/tex] × [tex]\frac{64}{1}[/tex] = ?
Multiply across.
8 x 64 = 512
3 x 1 = 3
Simplify the fraction.
512/3 = 170 2/3
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Click and place the appropriate equivalent forms of the numbers shown.
Step-by-step explanation:
64% = 64/100 = 16/25 = 0.64
1/8 = 0.125 = 12.5%
1.4 = 140% = 140/100 = 100/100 + 40/100 = 1 2/5
2 3/4 = 2.75 = 275%
8% = 8/100 = 2/25 = 0.08
Help please I don't know
Alright let's do this...
1. Five is less than a number and one = C.
2. Three times a number and five = F.
3. Five less than the sum of a number and two = B.
4. Two less than a number times two = A.
4 1/6 + 5 2/3Enter your answer as a mixed number in simplest form
Answer:
Step-by-step explanation:
First, change the mixed numbers into improper fractions:
5 2/3 = 17/3
Then, find the common denominator:
41/6 + 17/3=
LCM = 6
17/3 *2 = 34/6
41/6 + 34/6
Last, Add
25/6 or
12 1/2
Hope this helps!
mark brainliest if possible!
How many pennies are on the nth square? 2n 2n – 1 2n 1 2n – 1 2n 1
The number of pennies is on the [tex]\rm n^t^h[/tex]square is [tex]\rm 2^n^-^1[/tex].
I am assuming the:
1 penny = [tex]2^0[/tex]
2 pennies = [tex]2^1[/tex]
3 pennies = [tex]2^2[/tex]
and so on.
It is required to find how many pennies are on the [tex]\rm n^t^h[/tex] square.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have:
1 penny = [tex]2^0[/tex]
2 pennies = [tex]2^1[/tex]
3 pennies = [tex]2^2[/tex]
If we observe the pattern, we see it on the [tex]\rm n^t^h[/tex] square the number of pennies will be [tex]\rm 2^n^-^1[/tex]
[tex]\rm n^t^h= 2^n^-^1[/tex]
Thus, the number of pennies is on the [tex]\rm n^t^h[/tex]square is [tex]\rm 2^n^-^1[/tex].
Learn more about the sequence here:
https://brainly.com/question/21961097
I need help ASAP to find the solution
Answer:
(1,-1)
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Solve for the value of r.
(6r-7)
55°
Answer:
r=7
Step-by-step explanation:
6r-7+90+55=180
6r+138=180 ----- 6r=180-138
6r=42 ----- divide both sides by 6
r=7
(We get the 90 from the 90degrees in the middle of this supplementary angle and the total, 180, from the straight angle made from all three angles.)
hope this helps!
Using a ruler and a compass, construct the triangle FGH with FG = 7.5cm, angle FGH = 120° and angle GFH = 30°
Answer:
(1, –1), (4, –16), (5, –25) i think
Step-by-step explanation:
In their yard, Larry’s parents decided to plant tomatoes in a certain area. They chose an area that was of a yard long and of a yard wide. Choose the model that shows the area they’ll use for tomatoes.
18/18
15/18
8/15
10/18
the answer is 18/18 which is the first one
Paul’s dad is putting up a fence in part of the backyard. The length of the fence will be 20 feet and the width will be 15 feet. What is the perimeter of the fence?
35 ft
70 ft
68 ft
300 ft
Answer:
70 ft
step-by-step explanation:
perimeter of rectangle = 2 ( length + width )
2(20+15)
2(35)
70
Answer:
Paul’s dad is putting up a fence in part of the backyard. The length of the fence will be 20 feet and the width will be 15 feet. What is the perimeter of the feet-----------------------------------------------------------
answer - ----
length = 20
width = 15
perimeter of rectangle is 2 (l+b)
2( 20 + 15 )
= 70 feet answer
help me as soon as possible due in 20 minutes
Type the correct answer in each box. Use numerals instead of words.
Amanda is placing an order for running shoes and leather boots for her footwear b
many pairs of running shoes as leather boots.
Set up the squations that can be used to find the number of each type of shoe
• the equation that represents the total number of pairs of shoes be referre
. Let constraint 2 refer to the equation that describes the ratio of the number of
Only constraint
would be met if 18 pairs of leather boots and 36 pairs of run
Only constraint
would be met if 12 nairo
Answer:
see below
Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words.
Amanda is placing an order for running shoes and leather boots for her footwear b
many pairs of running shoes as leather boots.
Set up the squations that can be used to find the number of each type of shoe
• the equation that represents the total number of pairs of shoes be referre
. Let constraint 2 refer to the equation that describes the ratio of the number of
Only constraint
would be met if 18 pairs of leather boots and 36 pairs of run
Only constraint
would be met if 12 nairo
Solve the system of equations using subtraction.
2x−4y=−4
2x+ y =11
Answer:
(4, 3 )
Step-by-step explanation:
2x - 4y = - 4 → (1)
2x + y = 11 → (2)
subtract (2) from (1) term by term to eliminate x
(2x - 2x) + (- 4y - y) = - 4 - 11
0 - 5y = - 15
- 5y = - 15 ( divide both sides by - 5 )
y = 3
substitute y = 3 into either of the 2 equations and solve for x
substituting into (2)
2x + 3 = 11 ( subtract 3 from both sides )
2x = 8 ( divide both sides by 2 )
x = 4
solution is (4, 3 )
A projectile’s motion is modeled by the function given in the table, where x represents time in seconds and f(x) represents height above the ground. At what time is the projectile on the ground? – 80. 4 seconds 2 seconds 4. 6 seconds It will never hit the ground.
Answer: 2 seconds
Step-by-step explanation:
got it right
b/4 < 4 im trying to figure it
Answer:
b<16
Step-by-step explanation:
b/4<4. Multiply 4 on both sides. b has to be less than 16.
x+8=6 solve each equation
Answer:
=> x = -2Step-by-step explanation:
=> x+8=6
=> x = 6-8
=> x = -2
Answer:
-2
Step-by-step explanation:
x= negative 2
-2 + 1= -1
-2 + 2=0
-2 + 3=1
-2 + 4=2
-2+ 5=3
-2 +6=4
-2 + 7=5
-2 +8=6 so this problem is x + 8 and the x= - 2 so your answer is -2 + 8=6
Hope it helps have a great day:)