Answer:
5$
Step-by-step explanation:
70%x8.50 equalss 5$
$8.5− 30
/100 = 41
/5
(Decimal: 8.2)
Solve by completing the square:
x2 + 3x – 9 = 0
Answer:
Step-by-step explanation:
x = 9/5
The solution of the equation [tex]x^2 + 3x - 9 = 0[/tex] by completing the square would be [tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex].
Used the concept of a quadratic equation that states,
An algebraic equation with the second degree of the variable is called a Quadratic equation.
Given that the equation is,
[tex]x^2 + 3x - 9 = 0[/tex]
Now completing the square as
[tex]x^2 + 3x - 9 = 0[/tex]
Add and subtract by 9/4,
[tex]x^2 + 3x + \dfrac{9}{4} - \dfrac{9}{4} - 9 = 0[/tex]
[tex]x^2 + 3x + ( \dfrac{3}{2})^2 - \dfrac{9}{4} - 9 = 0[/tex]
[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{9}{4}+ 9) = 0[/tex]
[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{45}{4}) = 0[/tex]
[tex](x + \dfrac{3}{2} )^2 = ( \dfrac{45}{4})[/tex]
Taking square root on both sides,
[tex](x + \dfrac{3}{2} ) = \pm ( \dfrac{\sqrt{45}}{2})[/tex]
Therefore, the solution of an equation is,
[tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex]
To learn more about the quadratic equation visit:
brainly.com/question/1214333
#SPJ6
If each quadrilateral below is a rectangle find the missing measure in #5
Answer:
What do you mean by #5?
Step-by-step explanation:
-1/2 (-5/6+1/3)=????
Answer:
1/4
Step-by-step explanation:
5/12-1/6
1/6=2/12
5/12-2/12=3/12=1/4
Answer:
1/4 or 0.25
Step-by-step explanation:
Write and solve an inequality, You want to save at least $100. How much do you need to save if you start with $37?
Answer:
$63 is the answer
Step-by-step explanation:
100-37=63
How to change miles per hour to feet per second?
Answer:
1 mph = 1.46666667 fps
During the 1920's there was an overproduction of consumer goods. What happened to the price of goods when demand did not increase?
Prices Increased
Prices decreased
Prices Skyrocketed
Prices stayed the same
Answer:
Prices decreased
Step-by-step explanation:
What happened to the price of goods when demand did not increase is prices decreased.
What is the value of this expression when c= -4 and d = 10?
1/4(c3+d2)
The value of the expression using BODMAS rule is 9.
What is simplification?
To simplify the arithmetic expression involving more operators, we need to use BODMAS rule. The full form of BODMAS is Brackets (Parts of a calculation inside the bracket always come first), Precedence of brackets are : [{(bar)}], Orders (powers and square roots), Division, Multiplication, Addition, Subtraction.
For the given situation,
The values are c = -4, d = 10
The expression is 1/4(c^3+d^2)
Substitute the above values,
⇒ [tex]\frac{1}{4}(c^{3}+d^{2} )[/tex]
⇒ [tex]\frac{1}{4} (-4^{3} +10^{2} )[/tex]
⇒ [tex]\frac{1}{4}(-64+100)[/tex]
⇒ [tex]\frac{1}{4}(36)[/tex]
⇒ [tex]9[/tex]
Hence we can conclude that the value of the expression using BODMAS rule is 9.
Learn more about simplification here
https://brainly.com/question/23827397
#SPJ2
Answer: 9
Step-by-step explanation:no clue how I got it but the test marked it correct
Yehudy invested $19.250 in a simple interest account. After 6 years and no additional deposits or withdrawals, the account balance was
$22.957.55. Find the interest rate for the account. Round to the nearest hundredth of a percent if needed
Answer: 3.21%
Step-by-step explanation:
Interest = (1/t)(A/P - 1)
The amounts of Cathy’s last six clothing purchases were $109, $72, $99, $15, $99, and $89. For each question, choose the mean, median, or mode and give its value.
C.) Which value would Cathy NOT tell her parents to convince them that she needs an increase in her allowance?
{I only need help on part C}
Answer:
The mean value = $80.5
Step-by-step explanation:
The value of her last six spendings are $109, $72, $99, $15, $99, and $89.
For the mean.
Mean = Total spendings/number
Mean =483/6
Mean = $80.5
For the median.
Lets arrange it in ascending order
$15 ,$72, $89, $99, $99, $109
The middle values are two.
Median = (89+99)/2
Median = 188/2
Median = $94
For the mode
$15 ,$72, $89, $99, $99, $109
Highest occuring is $99 with two frequencies.
To convince her parents that she needs an increase in allowance she would show them the bigger spendings .
So the least value on the list it's mean value which is $80.5.
Which number sentence is true?
A. 78 = 68
B. 78 < 69
C. 78 = 75
D. 78 < 81
E. 78 > 84
Answer: the answer choice “d” is correct
Step-by-step explanation:
because the different symbols mean different things and yeah
Answer:
D
Step-by-step explanation:
lesser value ------- < --------This side bigger value {open mouth}
78 < 81
81 is bigger than 78
If a cross section was cut that was parallel to the base of a triangular prism below a shape with that cross section be ?
A. Square
B. Triangle
C. Parallelogram
D. Rectangle
What is the surface area of this design?
Answer:
440 inches squared - the last option
Step-by-step explanation:
Step 1. Surface area of top square.
5 x 5 = 25 inches sq
Step 2. Surface area of the 4 sides of the cuboid.
5 x 8 = 40 inches sq
40 x 4 = 160 inches sq
Step 3. Surface area of the large square.
10 x 10 = 100 inches sq
100 - 25 (because it's being covered) = 75 inches sq
Step 4. Surface area of the 4 sides of the large flat cuboid.
2 x 10 = 20 inches sq
20 x 4 = 80 inches sq
Step 5. (OPTIONAL) Surface area of the bottom
10 x 10 = 100 inches sq
Step 6. Add up all.
25 + 160 + 75 + 80 (+ 100 if including the base) = 340
We can conclude that we have to include the base as well because 340 inches sq is not an option listed.
340 + 100 = 440 inches sq
440 inches sq is the last option
Hope this helps :)
Solve this brain teaser, please!!!
Answer:
0 in the end they all burn out
Step-by-step explanation:
Answer: 10
Step-by-step explanation:
How many servings of
cups are in 33 cups of ice cream?
Answer:
I am 99% sure its 33 servings
Step-by-step explanation:
because the question says that "how many servings of cups are in 33 cups".
(hopefully im right) and HOPEFULLY THIS HELPS. : )
1 point
The probability of rain on Sunday is 0.7 and the probability of rain on Monday is 0.2.
What is the probability that it rains on BOTH Monday and Tuesday?
Write your answer as a decimal rounded to the nearest hundredth (2 decimal places).
Type your answer...
Answer:
0.03
Step-by-step explanation:
Given data
Probability that it will rain on Sunday= 0.7
Probability that it will rain on Monday = 0.2
Firstly we need to solve for the probability that it will rain on Tuesday
Sample space S = number of week days = 7
Probability that I will rain on Tuesday = 1/7= 0.14
Hence the probability that it rains on BOTH Monday and Tuesday= 0.2*0.14= 0.028
Rounding up the nearest hundredths = 0.03
The sum of two numbers is −21. One number is 55 less than the other. Find the numbers.
Answer:
x = 17 y= -38
Step-by-step explanation:
x + y = -21
y = x - 55
It doesn't matter whether x or y is 55 less than the other right now.
substitute for y:
x + x - 55 = -21
solve for x:
2x = 34
x = 17
solve for y:
17 + y = -21
y = -38
100 POINTS!!! NO JOKE!!! (IF YOU ANSWER THE QUESTIONS) It's a little time consuming but I want to see who can answer the fastest. I would really appreciate the answers to these asap. ONLY ANSWER IF YOU KNOW HOW TO DO THESE!!! They're easy but I don't want to do them.
Appreciate = Will mark Brainliest if correct
Thanks so much
Answer:
1. x = -4
y = -20
2. x = -1
y = 3
3. x = 7
y = 4
4. x = -6.5
y = -10.5
hope this helps :) sorry if I get it wrong!
Answer:
1) x=−4, y=−20
2) x=−1, y=3
3) x = 7 , y=4
4) x = -6.5 , y = -10.5
Step-by-step explanation:
1) y=5x;−3x+2y=−28
solving system by substitution:
substitute y =5x into 2nd equation:
-3x +2*5x =-28 → -3x+10x = -28 → 7x = -28 → x = -4
plug in x in any equation and solve for y = 5* -4 = -20
2) solving system by elimination:
Multiply the first equation by 7, and the second equation by 5.
7(4x−5y=−19)
5(3x+7y=18)
----------------------
28x−35y=−133
15x+ 35y= 90
Add them up to eliminate y:
43x=−43 divide both sides by 43
x=−1
plug x back into 1st equation to solve for y
4x−5y=−19
(4)(−1)−5y=−19
−5y−4=−19 add 4 to both sides
−5y=−15 divide by -5
y=3
3) y =4 , 5x -6y = 11
plug in 4 for y in 2nd equation and solve for x:
5x -6* 4 =11 simplify
5x - 24 = 11 add 24 on each side
5x = 11 +24 simplify
5x = 35 divide by 5 on each side
x =7
4) y = x -4, 2x - y = -2.5
use substitution method:
2x -(x-4) = -2.5 distribute ( )
2x-x+4 = -2.5 simplify
x + 4 = -2.5 subtract 4 on each side
x = -2.5 -4
x = -6.5
plug in -6.5 for x in 1st equation and solve for y:
y = -6.5 -4
y = -10.5
What type of function is represented?
Answer:
b
Step-by-step explanation:
ITS B NOT C ITS B ITS B ITS B.
What is the value of x in the figure? Enter your answer in the box.
HELP IMMEDIATELY!
Answer:
Step-by-step explanation:
145 = 2x + 15
2x = 130
x = 65 (ANS)
Answer:
65º
Step-by-step explanation:
145º = (2x + 15)º
145º = (2x + 15)º
145º - 15º = 2xº + 15º - 15º
130º = (2x)º
x = 65º
Toilet paper has been hard to find lately. You go to the store and are surprised to find that they have some toilet paper in stock. Now you have a different problem. There are two brands of toilet paper you can choose from, Roll A and Roll B. Which roll should you buy in order to get the most toilet paper? Round your answer to the nearest whole number.
Total Volume = (3.14) (2.5) ^2 (4.5) =
Subtract the middle rim.
V = (3.14 ) ( .75 ) ( 4.5 )
TOTAL VOLUME - MIDDLE PART VOLUME =
Answer:
77
Step-by-step explanation:
Total Volume = 88
Middle Part Volume = 11
Total - Middle = 77
Complete 4 A,B 9 for points.
Answer:
R = (1/t) (A/P - 1)
T = (1/r) (A/P - 1)
True or false.
If the dilated image is larger than the pre-image, then the scale factor of the dilation is less than 1.
Answer:
False
Step-by-step explanation:
In order for the dilated image to become larger, it has to have a scale factor that is more than one not less than one.
False, Because If the scale factor is greater than 1, the image is larger than the preimage.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We know that;
If the scale factor is between 0 and 1, the image is smaller than the preimage. Dilations with a scale factor between 0 and 1 are called reductions.
And, If the scale factor is greater than 1, the image is larger than the preimage. Dilations with a scale factor greater than 1 are called enlargements.
Thus, The given statement is false.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
If there are 7 people in a family, 4 grandparents, a grandchild a mom and dad, what is the average age of each person, if all together they are 381 years old?
Answer: 54.43
Step-by-step explanation:
381 / 7
Simplify (2a – 5)2 using the square of a binomial formula.
Question 20 options:
A)
4a2 – 20a + 25
B)
4a2 – 25
C)
4a2 – 10a + 25
D)
4a2 + 25
Answer:
B
Step-by-step explanation:
0-o
Solve this system of equations using substitution:
y = 2x - 4
x + 2y = 10
Answer:
x + 2y = 10 = x + y = 5
Step-by-step explanation:
x + 2y = 10
divide 2 by 10
x + y = 5
This is all I really know how to do sorry
What is the value of b? -8/5b = 8
Answer:
-0.2 or -2/10
Step-by-step explanation:
hope this helps
Declan says that for any number n, the product 4x n is greater than 4. Which value of n shows why Declan is incorrect
Answer:
[tex]n > 1[/tex]
Step-by-step explanation:
Given
Statement: 4x n is greater than 4
Required
Value of n
First we need to rewrite the statement in algebraic form;
Product 4 * n is represented by 4n
greater than 4 is represented by > 4
Bringing these two together, it gives the following
[tex]4n > 4[/tex]
Divide through by 4
[tex]\frac{4n}{4} > \frac{4}{4}[/tex]
[tex]n > 1[/tex]
We've arrive at solution;
This means that n is greater than 1
So, the values of n must start from 2 to show that the condition is true
The value of n = 7/8 makes the inequality 4n > 4 false because 7/8 is less than 1.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
We have n as a number.
4n > 4
Plug n = 5
20 > 4 (true)
Plug n = 9/5
36/4 > 4
9 > 4 (true)
Plug n = 3
12 > 4 (true)
Plug n = 7/8
28/8 > 4
3.5 > 4 (false)
Thus, the value of n = 7/8 makes the inequality 4n > 4 false because 7/8 is less than 1.
Learn more about the inequality here:
brainly.com/question/19491153
#SPJ5
Find the slope of the line
Answer:
A) 3/2
Step-by-step explanation:
slope of the line equation:
m (slope) = (y₂ - y₁)/(x₂ - x₁)
Let:
(x₁ , y₁) = (-3 , -3)
(x₂ , y₂) = (1 , 3)
Plug in corresponding numbers to the corresponding variables:
m = (3 - (-3))/(1 - (-3))
Simplify:
m = (3 + 3)/(1 + 3)
m = (6)/(4)
m = 3/2
A) 3/2 is your slope.
~
Answer:
the answer is three over two 3/2
Step-by-step explanation:
the equation is
Ya-Yb
divided by
Xa-Xb
so basically:
-3-3/-3-1
49 increased by twice a number m
Answer:
The third one I think
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
First -> twice m is -> 2m
Then
49 increased so -> 49+2m
What if the value of x?
Answer:
x = 5
Step-by-step explanation:
This is a right triangle with hypotenuse x
We can use the Pythagorean theorem
a^2+b^2 = c^2
3^2+4^2 = x^2
9+16= x^2
25=x^2
Take the square root of each side
sqrt(25) = sqrt(x^2)
5 = x