Answer:
x = -7
Step-by-step explanation:
-5(x-1) = 40
Divide each side by -5
-5(x-1)/-5 = 40/-5
x-1 = -8
Add 1 to each side
x-1+1 = -8+1
x = -7
Answer:
x = -7
Step-by-step explanation:
-5(x-1) = 40
-5x + 5 = 40
5x - 5 = - 40
5x = 5 - 40
5x = - 35
x = -35/5
x = -7
Please help, thank you
Answer:
The sum = 4092
Step-by-step explanation:
The sum is equal to A, in which:
A = 4 x (2^0 + 2^1 + 2^2 + ... + 2^9)
= 4 x [(1 + 2^1 + 2^2 + ... + 2^9)(2 - 1)/(2 - 1)]
= 4 x (2^10 - 1)(2 - 1)
= 4 x (2^10 - 1)
= 4 x 1023
= 4092
Hope this helps!
Answer:
4092
Step-by-step explanation:
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a[tex]r^{n-1}[/tex]
where a is the first term and r the common ratio
4[tex](2)^{n-1}[/tex] ← is the n th term of a geometric sequence
with a = 4 and r = 2
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex] , thus
[tex]S_{10}[/tex] = [tex]\frac{4(2^{10}-1) }{2-1}[/tex] = 4(1024 - 1) = 4 × 1023 = 4092
A rectangle is 8 feet long. Its width is represented by "seven plus x feet." Which expression represents the area, in square feet, of the rectangle?
Answer:
[tex] \boxed{\sf Area \ of \ the \ rectangle = (8x + 56) \ square \ feet} [/tex]
Given:
Length = 8 feet
Width = (7 + x) feet
To find;
Area of the rectangle
Step-by-step explanation:
[tex] \sf Area \: of \: the \: rectangle = Length \times Width \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 8 \times (7 + x)\\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (8 \times 7) + (8 \times x)\\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 56 + 8x\\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (8x + 56) \: square \: feet[/tex]
I don’t know how to figure out the ratio of the areas. The area for HGEF is 60.5 (121/2) and the area for JKLM is 378.125 (3025/8). I know the areas are right because the previous questions says they are. Thank you so much!
Answer:
25 : 4
Step-by-step explanation:
Given 2 similar figures with ratio of sides = a : b , then
ratio of area = a² : b²
For the given figures the ratio of corresponding sides is
JK : EF = 20 : 8 = 5 : 2 , thus
ratio of areas = 5² : 2² = 25 : 4
a cylinder has radius 2cm. the volume of the cylinder is 100cmcubed. work out the height of the cylinder, rounded to 2 decimal places.
Answer: height = 7.96 cm
Step-by-step explanation:
Height = volume / πr^2
h = 100 / π*2^2
h = 7.96 cm
Four lines are drawn on a coordinate plane to form trapezoid WXYZ. A coordinate grid with 4 lines. Line X W is drawn with point W at (negative 4, 1) and passes through (0, 2) with and (3, 3). Line Y X is drawn with point Y at (3, 0) and passes through (0, 3). Line Z W is drawn with point Z at (0, negative 3) and point W at (negative 4, 1). LIne Z Y is drawn with point Y at (3, 0) and point Z at (0, negative 3). Which statements are true about the lines? Select three options. Line WZ has the same slope as line XY. Line YX has a greater slope than line ZY. Line XW has a lesser slope than line YZ. Line ZW has the same y-intercept as line YZ. Line XY has a lesser y-intercept than line XW.
Answer:
A,C,D
or
Line WZ has the same slope as line XY.
Line XW has a lesser slope than line YZ.
Line ZW has the same y-intercept as line YZ.
Step-by-step explanation:
did it on edge 2020
Answer:
A C D
Step-by-step explanation:
BOYYYYYYYYYYYYYYYYYY
10q - 30 is equivalent to?
Answer:
So in this question im guessing you simplify with parenthesis
Since its too easy, I cant really explain, but heres the answer:
(q+3)*10
7. A shopkeeper can buy 36 toys for $20.52. What will he pay for 120 toys
Step by step explansion
__________________________________
Hey!!!
Solution,
Cost of 36 toys=$ 20.52
Cost of 1 toy=20.52/36
=$0.57
Now,
Cost of 120 toys= 0.57*120
=$68.4
hope it helps
Good luck on your assignment
______________________________
Answer:
$68.4
Step-by-step explanation:
Let x represent the required cost.
Since the cost is directly proportional to the number of toys:
x : 20.52 = 120 : 36
i.e. x/20.52 = 120/36
x = [tex]\frac{120 * 20.52}{36}[/tex]
x = 10 * 6.84
x = 68.4
∴ The cost is $68.4.
Hope this helps!!
Define surface area and volume. List an example of a situation where you would find surface area and a situation where you would find volume.
Answer:
Step-by-step explanation:
Surface area is the sum of the areas of the faces of a solid. It is measured in square units. Volume is the amount of space taken up by a solid. It is measured in cubic units. Surface area would be used to find the amount of wrapping paper for a gift, and volume would be used to find how much would fit into a box.
Answer: Surface area is the sum of the areas of the faces of a solid. It is measured in square units. Volume is the amount of space taken up by a solid. It is measured in cubic units. Surface area would be used to find the amount of wrapping paper for a gift, and volume would be used to find how much would fit into a box.
Step-by-step explanation:
What is the quotient of 2,173 ÷ 53
Answer:
41
Step-by-step explanation:
In a grade 11 class, 40% of the students are taking Geography, 30% are taking History and 10% are taking both. If 40 students are enrolled in the grade 11 class, how many students are taking neither Geography or History?
I put the wrong answer
What is the product of 5.86 × 10–7 and 3.1 × 104 1. Write the expression: (5.86 × 10–7)(3.1 × 104) 2. Rearrange the expression: (5.86 × 3.1)(10–7 ∙ 104) 3. Multiply the coefficients: (18.166)(10–7 ∙ 104) 4. Apply the product of powers: 18.166 × 10-3 5. Write in scientific notation: 1.8166 × 10n What is the value of n in the scientific notation of the product? n =
The product of the given values in scientific notation would be = 1.8166× 10-2.
What is scientific notation?Scientific notation is a method that is used in arithmetics to represent numbers and figures that are too large or too small and usually raised to power of 10.
The values that are given for multiplication is as follows;
5.86 × 10–7 × 3.1 × 104
First rearrange the expressions;
(5.86 × 3.1)(10–7 ×10⁴)
The multiple the coefficients;
(18.166)(10–7 ∙ 104)
The apply the product of power by addition of the powers;
18.166 × 10-3
The scientific notation representation of the product = 1.8166× 10-2
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There are 650 toothpicks in a regular-sized box. If a jumbo box is made by tripling all the dimensions of the regular-sized box, how many toothpicks will the jumbo box hold?
Answer: 1950 is how many it will hold.
Step-by-step explanation:
solve the following simultaneous linear equation x+2y=5 and x+3y=8
Answer:
x= -1, y= 3
Step-by-step explanation:
First, label the 2 equations.
x +2y= 5 -----(1)
x +3y= 8 -----(2)
(2) -(1):
x +3y -(x+2y)= 8 -5
x +3y -x -2y= 3
y= 3 (simplify)
subst. y=3 into (1):
x +2(3)= 5
x +6= 5
x= 5 -6 (bring constant to 1 side)
x= -1
A 38 gram sample of a substance that is used to sterilize surgical instruments has a k-value of 0.113. Find the substance's half-life in days, round to the nearest tenth.
Answer:
6.13 days
Step-by-step explanation:
Hello,
This question directly relates to radioactivity of a substance.
Data,
k = 0.113
Initial mass (No) = 38g
Half life of the substance (T½) = ?
To solve this question, we don't need the value of the initial mass because the variables in half life (T½) formula does not require it.
T½ = ln2 / k
Note : ln2 is a constant derived while k is the decay constant of the substance
T½ = 0.693 / 0.113
T½ = 6.13 days
The half life of the substance is 6.13 days
Marl borrowed $200 at 12% simple interest for one year. If he makes no payments that year, how much interest will he owe at the end of the year?
Step-by-step explanation:
Simple interest means that it's not added. You would need to multiply 200 and .12, yielding 24. That's the interest. The total he owes is 224, please mark as brainliest
After being rearranged and simplified which of the following equations could be solved using the quadratic formula? Check all that apply.
Answer:
B
Step-by-step explanation:
Because you subtract 14 from the right and left of the = sign
and now we add one on tbe right and left of the = sign. so the quadratic problem would be 3x^2 + 9x -13
Please help me answer these two questions:) Find two consecutive numbers with a sum of 143. The combined mass of two children is 75 lbs. The first child is four times the mass of the second child. What are the masses of the two children? Whoever answers and explains i will give the brainliest!
Answer:
Question 1: 71 and 72
Question 2: Child 1: 60 lbs, Child 2: 15 lbs
Step-by-step explanation:
Question 1:
Consecutive numbers are 2 numbers right next to each other.
You know the numbers will have to be double digits number.
71 and 72 are consecutive numbers. The sum of them is 143.
71+72=143
Question 2:
For this problem, we can use system of equations to find the mass of the 2 children. Let's say x is the first child and y is the second child.
Equation 1
x+y=75
This equation comes from the combined mass of the 2 children.
Equation 2
x=4y
This equation comes from the first child being 4 times the mass of the second child.
Since we know the value of x, we can use substitution to find y.
4y+y=75
5y=75
y=15
Now that we know the second child is 15 lbs, we can plug this into any of the 2 equations to find the mass of the first child.
x=4(15)
x=60
the volume of a cube whose edge is 6cm long is
Answer:
216 cm^3
Step-by-step explanation:
Volume of a cube=s^3
6 cm^3=216 cm^3
What is the probability of spinning an A?
Answer:
25%
Step-by-step explanation:
There are 8 slices in the spinny thingy.
There are 2 A's
[tex]\frac{1}{4}[/tex] = 25%
LAT QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS
4. All angles are formed by the intersection of two _______ at a point called the angle's vertex.
A) rays
B) lines
C) segments
THE HINT I WAS GIVEN: These objects have start with an endpoint and end with a line.
Answer: rays or lines
Step-by-step explanation:
Answer:
I believe the answer is: B.) lines
Hope this helps God bless!
Solve for m.
22m^2 + 7m - 2 = 0
Answer:
x= -1/2 and x=2/11
Step-by-step explanation:
Write the 7x as a difference. It'll make it easier to factor out. An example of this would be 11x-4x
Therefore, the equation would look like this: 22x^2 + 11x-4x -2 =0
Look at it as if there are two equations: 22x^2+11x and -4x-2
Factor out the greatest common factor, which is 11 from the first equation. The equation will then look like this: 11x(2x+1)
Take the GCF for the second equation as well (which is -2). The equation should then also look like this: (2x+1)
Use the numbers on the outside of each of the parenthesis to form its own equation (to factor it out). This will be 11x-2
Now we have factored! Since the parenthesis equations are the same, we know that that is also part of the equation, so:
(11x-2)(2x+1)
Solve each equation for x by equaling them both to zero
7 elementary classes will be chosen to participate in a school lunch survey. There are 21 elementary classes in the school. In how many
ways can the classes be chosen?
Keypad
Answer
How to enter your answer
Answer:
( About ) 1.01371e + 16 ways
Step-by-step explanation:
You have 21 choices for the first student chosen, 20 choices for the next, then 19, then 18. However, this over-counts everything by a factor of 7! (the number of ways in which four objects can be arranged with regard to order).
Thus, take a look at the procedure below;
[tex]21! / 7! =\\21 * 20 * 19 * 18 * 17 * 16 etc. / 7 * 6 * 5 * 4 * 3 * 2 * 1 =\\( About ) 1.01371e+16[/tex]
This is an approximate answer mind you, so I hope that still helps!
Simplify problem: ∛-27n^27
Answer:
-3n⁹
Step-by-step explanation:
= [tex]\sqrt[3]{-27n^(27)}[/tex]
= [tex]\sqrt[3]{-27} * \sqrt[3]{n^{27}}[/tex]
= (-3) × n⁹
= -3n⁹
Latoya paid $17.64 for a 7.94-kg bag of dog food. A few weeks later she paid $18.88 for an $8.39-kg bag at a difference store. Find the unit price for each bag. Then state which bag is the better buy based off the unit price. Round your answer to the nearest cent
Answer: The answer is given below
Step-by-step explanation:
From store 1:
Latoya paid $17.64 for a 7.94-kg bag of dog food. The unit price will be the price paid divided by the quantity. This will be:
= $17.64/7.94
= $2.22 per kg
For store 2:
A few weeks later she paid $18.88 for an $8.39-kg bag at a difference store. The unit price in the second store will be: $18.88/8.39 = $2.25 per kg.
The unit price of the first store is a better buy because the price is cheaper.
Answer:
the price of the first store is cheaper by 0.03 dollars (2.25 - 2.22), that is to say 3 cents
Step-by-step explanation:
To calculate the unit price we must divide by the price by the weight, thus we will obtain the value for each kilogram of dog food:
First price:
17.64 / 7.94 = 2.22
In other words, the price is 2.22 dollars per kilogram.
Second price:
18.88 / 8.39 = 2.25
In other words, the price is 2.25 dollars per kilogram.
Which means, that the price of the first store is cheaper by 0.03 dollars (2.25 - 2.22), that is to say 3 cents.
Ben has b dollars. Cam has 7 fewer dollars than Ben.
How many dollars does Cam have?
Answer:
Cam has b-7 dollars
Step-by-step explanation:
What is the vertex of the graph of the function f(x) = x2 + 8x - 2?
(-4, 18)
(0, -2)
O (-8,-2)
O (-4, -18)
Answer:
vertex = (- 4, - 18 )
Step-by-step explanation:
Given a parabola in standard form
f(x) = ax² + bx + c ( a ≠ 0 )
The the x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
f(x) = x² + 8x - 2 ← is in standard form
with a = 1 and b = 8 , thus
[tex]x_{vertex}[/tex] = - [tex]\frac{8}{2}[/tex] = - 4
Substitute x = - 4 into f(x) for corresponding y- coordinate
f(- 4) = (- 4)² + 8(- 4) - 2 = 16 - 32 - 2 = - 18
vertex = (- 4, - 18 )
The vertex of the parabola is (-4, -18).
Option D is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To find the vertex of the function f(x) = x² + 8x - 2, we first need to convert the function into vertex form, which is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola.
Completing the square.
f(x) = x² + 8x - 2
f(x) = (x + 4)² - 18
Therefore,
The vertex of the parabola is (-4, -18).
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URGENT
What is the value of y?
A.72°
B.36°
C.54°
D.108°
Answer:
72 + 2y = 180
2y = 108
y = 108/2
y = 54
C. 54
Answer:
C
Step-by-step explanation:
Sum of three angles of triangle = 180
72 + y + y = 180 {add like terms}
72 +2y = 180 {Subtract 72 from both sides}
2y = 180 - 72
2y = 108 {divide both sides by 2}
y = 108 / 2
y = 54°
What is the reciprocal of 8/12
Answer: 12/8
Step-by-step explanation:
You just flip it
Answer:
12/8
Step-by-step explanation:
To find a reciprocal of a fraction, just flip the numbers upside down or invert it.
In other words, swap the numerator over the denominator to get the reciprocal.
Example: 3/4 → 4/3
Have a great day and stay safe!
What is the answer to this question 3 x 1/5 =?
Answer:
.6
Step-by-step explanation:
11 12 13 14 15 16 17 18 19 20 TIME REMAINING 01:04:38 Jamal uses the steps below to solve the equation 6x – 4 = 8. Step 1: 6x – 4 + 4 = 8 + 4 Step 2: 6x + 0 = 12 Step 3: 6x = 12 Step 4: StartFraction 6 x Over 6 EndFraction = StartFraction 12 Over 6 EndFraction Step 5: 1x = 2 Step 6: x = 2 Which property justifies Step 3 of his work?
Answer:
Identity property of addition
Step-by-step explanation:
Given
Step 3: 6x = 12
Required:
Which property justifies Step 3 of his work
The property that justifies this step is the identity property of addition;
At step 2; the equation was
6x + 0 = 12
When 0 is added to any expression or number, the value of the number or expression remains unchanged.
So, when 0 is added to 6x on the left hand side of the equation, the value remains the same as follows:
So, 6x + 0 = 12 becomes
6x = 12.
This property is referred to as the Identity property of addition
Answer:
Identity property of addition
Step-by-step explanation:
Given
Step 3: 6x = 12
Required:
Which property justifies Step 3 of his work
The property that justifies this step is the identity property of addition;
At step 2; the equation was
6x + 0 = 12
When 0 is added to any expression or number, the value of the number or expression remains unchanged.
So, when 0 is added to 6x on the left hand side of the equation, the value remains the same as follows:
So, 6x + 0 = 12 becomes
6x = 12.
This property is referred to as the Identity property of addition
