Answer:
28
Step-by-step explanation:
40×70% or 40×.7= 28 so 28 is 70% of 40
The stock of Company A lost 1.5% today to $19.70. What was the opening price of the stock in the beginning of the day?
Answer:
23.78
........................
Estimate the cost of 3.2 pounds of apples .The cost of 3.2 pounds of apples is about
Jay has spent 3/8 of his life working for his current company. If Jay has been 8 3working for his current company for 15 years, how old is he?
Answer:
40 years old
Step-by-step explanation:
If Jay has spent 3/8 of his life working for his current company and it is stated that he has been at the current company for 15 years, we can divide 15 years by 3 to find out how much a single part of the fraction (1/8) is.
15 / 3 = 5 years
5 years = 1/8
Now that we know how many years is a single part of his life we simply multiply this value by 8 to calculate how many years would equal his total life or in other words how old Jay currently is.
5 years * 8 = 40 years old
The color distribution of Skittles is the following: 10% blue, orange, and green each, 23.3333% yellow, red, and purple each. In a bag, there were 137 red Skittles, 39 orange ones, 130 yellow ones, 39 green ones, 43 blue ones and 112 purple ones. Do the Skittles in the bag match the required color distribution?
Answer:
No
Step-by-step explanation:
Given that:
Percentage of blue, orange and green = 10%
Percentage of yellow, red and purple = 23.3333%
Number of skittles in bag by color :
Red = 137
Orange = 39
Yellow = 130
Green = 39
Blue = 43
Purple = 112
According to the color distribution :
Number of blue, orange and green should be the same and also number of yellow, red and purple skittles must be the same.
Total number of skittles :
(137 + 39 + 130 + 39 + 43 + 112) = 500
10% of the total = 0.1 * 500 = 50
Hence,
We should have 50 blue, orange and green skittles
23.33333% of total = 116.666 (about 117 skittles of yellow, red and purple color)
You flip a coin 12 times. What is the probability of getting only one tails in all 12 tries?
Answers are in standard notation
Answer: Aproxamatly 18.999999999999999
Step-by-step explanation:
Solve a One-Step Matrix Equation
Solve the matrix equation:
[X1
X2]
+
[-2
5]
=
[8
15]
X1 =?
X2 =?
Answer: 10 , 10
Step-by-step explanation:
By solving one-step matrix equation, we get [tex]x_{1} =10[/tex], [tex]x_{2}=10[/tex].
What is one-step matrix equation?A matrix equation is an equation of the form Ax = b , where A is an m × n matrix, b is a vector in R m , and x is a vector whose coefficients x 1 , x 2 ,..., x n are unknown.
A one-step equation is an algebraic equation you can solve in only one step. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.
Given one-step matrix equation
[tex]\left[\begin{array}{c}x_{1} &x_{2} \end{array}\right]+\left[\begin{array}{c}-2 &5 \end{array}\right] =\left[\begin{array}{c}8 &15 \end{array}\right][/tex]
By adding the matrix the respective equations are:
[tex]x_{1} +(-2)=8[/tex].....(1)
[tex]x_{2} +(5)=15[/tex].....(2)
By solving [tex]x_{1} +(-2)=8[/tex]
⇒ [tex]x_{1} -2=8[/tex]
Add 2 on the both sides of the equation
⇒ [tex]x_{1}-2+2 =8+2[/tex]
⇒ [tex]x_{1} =8+2[/tex]
⇒ [tex]x_{1} =10[/tex]
Solving equation 2
[tex]x_{2} +(5)=15[/tex]
⇒ [tex]x_{2} +5=15[/tex]
Subtract 5 on both sides of the equation
⇒ [tex]x_{2} +5-5=15-5[/tex]
⇒ [tex]x_{2}=10[/tex]
By solving one-step matrix equation, we get [tex]x_{1} =10[/tex], [tex]x_{2}=10[/tex].
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y = 3x + 3 using a
{-2, 1, 2}
Answer:
y = 3x + 3 using a
{-2, 1, 2}
Step-by-step explanation:
There are 26 letters in the
alphabet. What is the probability
that a letter chosen at random is
not in the word ENCYCLOPEDIA?
Answer:
1/12 chance
Step-by-step explanation:
Encyclopedia
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
The bold letters are the letters in the word Encyclopedia.
please no fake answers ,I need help:)
Answer:
A. 2.10b + 12.99 = 21.39; 4 bottles
Step-by-step explanation:
The b represents bottles of water, at the end of the equation. If each bottle is $2.10, and there were 4 bottles brought, $2.10 * 4 = $8.40, and $8.40 + $12.99 is $21.39.
The sixth-grade chorus has a boy-to-girl ratio of 3:8. Which of the following ratios is equivalent to this ratio?
help plzzz due in 15 min i have moe questions left
What are the answers? Also, an equivalent ratio would be multiplying/dividing both the 3 and the 8 by the same number
A concession stand sells hamburgers. The revenue from the hamburgers is (30x + 45) dollars. The price of a hamburger is $5. Write an expression that represents the number of hamburgers sold.
Answer:
5(6x+9)
Step-by-step explanation:
(30x+45)
30=(5)6x
45=(5)9
5(6x+9)
The LA Dodgers hit the most homeruns in 2014. The number of homeruns accounted for 6% of the entire major League baseball homerun count. If 583 total homeruns were hit, approximately how manu did the LA Didgers hit
Answer:
35 homeruns
Step-by-step explanation:
583*0.06=349.8-->34.98-->35
Answer:
The LA Dodgers hit 35 homeruns approximately in the league in year 2014.
Step-by-step explanation:
Given that:
Percentage of homeruns hit by LA Dodgers = 6% of the entire League
Total homeruns hit in the league = 583 homeruns
Homeruns hit by LA Dodgers = [tex]\frac{6}{100}*583[/tex]
Homeruns hit by LA Dodgers = 0.06 * 583
Homeruns hit by LA Dodgers = 34.98
Hence,
The LA Dodgers hit 35 homeruns approximately in the league in year 2014.
A jar contains 12 pink, 8 yellow, 6 blue and 10 green jelly beans. If a Jelly Bean is
chosen at random, find each probability as a DECIMAL rounded to the nearest
HUNDREDTHS place.
Answer:
Pink: 0.33
Yellow: 0.22
Blue: 1.67
Green: 0.28
Step-by-step explanation:
Total of Jelly Beans: 36
Pink: [tex]\frac{12}{36}[/tex] = 0.33
Yellow: [tex]\frac{8}{36}[/tex] = 0.22
Blue: [tex]\frac{6}{36}[/tex] = 1.67
Green: [tex]\frac{10}{36}[/tex] = 0.28
find the values of a,b, or c for y = x^2 - 9x +18 please help!!
Answer:
It's X^1 = 3, x^2 =6
Step-by-step explanation:
A quality control engineer is interested in estimating the proportion of defective items coming off a production line. In a sample of 100 items, 55 are defective. The lower bound of a 99% confidence interval for the proportion of defectives is ________.
Answer:
The lower bound of a 99% C.I for the proportion of defectives = 0.422
Step-by-step explanation:
From the given information:
The point estimate = sample proportion [tex]\hat p[/tex]
[tex]\hat p = \dfrac{x}{n}[/tex]
[tex]\hat p = \dfrac{55}{100}[/tex]
[tex]\hat p[/tex] = 0.55
At Confidence interval of 99%, the level of significance = 1 - 0.99
= 0.01
[tex]Z_{\alpha/2} =Z_{0.01/2} \\ \\ = Z_{0.005} = 2.576[/tex]
Then the margin of error [tex]E = Z_{\alpha/2} \times \sqrt{\dfrac{\hat p(1-\hat p)}{n}}[/tex]
[tex]E = 2.576 \times \sqrt{\dfrac{0.55(1-0.55)}{100}}[/tex]
[tex]E = 2.576 \times \sqrt{\dfrac{0.2475}{100}}[/tex]
[tex]E = 2.576 \times0.04975[/tex]
E = 0.128156
E ≅ 0.128
At 99% C.I for the population proportion p is: [tex]\hat p - E[/tex]
= 0.55 - 0.128
= 0.422
Thus, the lower bound of a 99% C.I for the proportion of defectives = 0.422
What should the following equation be multiplied by in order to eliminate the fractions? x/3+x/6=11/9
Answer:
Multiply by 18
Step-by-step explanation:
Given
[tex]\frac{x}{3} + \frac{x}{6} = \frac{11}{9}[/tex]
Required
Eliminate the fraction
To eliminate the fraction, we first determine the LCM of the denominators (3, 6 and 9)
This is show below:
List out the multiplies of 3, 6 and 9
[tex]3 = 3,6,9,12,15,18,21,24,27,30...[/tex]
[tex]6 = 6,12,18,24,30...[/tex]
[tex]9 = 9,18,27...[/tex]
The least common multiple is 18.
Hence, when both sides of the equation is multiplied by 18, the fraction is eliminated;
See proof
[tex]18 * (\frac{x}{3} + \frac{x}{6}) = \frac{11}{9} * 18[/tex]
[tex]\frac{18x}{3} + \frac{18x}{6} = \frac{11*18}{9}[/tex]
[tex]6x + 3x = 11 * 2[/tex]
[tex]6x + 3x = 22[/tex]
The fraction is eliminated
Helppppppp:))))))).......
Answer:
y=6 is the correct answer
TEST QUESTION: Jane is making bows for the holidays. One bow requires 23 yard of ribbon. Jane has 13 yards of ribbon. What is the GREATEST number of projects Jane can complete with this ribbon?
Answer:
this makes no sense she can make any bows
5. Which is the best first step to solve 5x+12x = 40 by completing the square?
A. Subtract 40 from both sides.
B. Divide all terms by 12.
C. Divide all terms by 5
D. Divide 12 by 2
Answer:
B
Step-by-step explanation:
To make the perfect square the first step is Subtract 40 from both sides option (A) is correct.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
The complete question is:
Which is the best first step to solve 5x²+12x = 40 by completing the square?
A. Subtract 40 from both sides.B. Divide all terms by 12.C. Divide all terms by 5D. Divide 12 by 2We have a quadratic equation:
5x²+12x = 40
To make the perfect square:
First, subtract 40 from both sides.
5x²+12x - 40 = 40 - 40
5x²+12x - 40 = 0
Thus, to make the perfect square the first step is Subtract 40 from both sides option (A) is correct.
Learn more about quadratic equations here:
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help i asked this 3 times i will do brainliest no troll answers!
Answer:
Number two
Exact Form:
11/2
Decimal Form:
5.5
Mixed Number Form:
5
1/2
Step-by-step explanation:
sorry I do not know one hope this helps please mark brainliest
WILL GIVE BRAINLIEST. Just fill in the blanks
Answer:
a) 5
b) 3
c) 1
d) -1
Step-by-step explanation:
Solution Steps:
______________________________
1.) To figure out y, you have to plug in the x value into the equation given:[tex]y=-2(-1)+3[/tex]
Multiply −2 and −1 to get 2. Add 2 and 3 to get 5. [tex]y=5[/tex]2.) To figure out y, you have to plug in the x value into the equation given:[tex]y=-2(0)+3[/tex]
Multiply −2 and 0 to get 0. Add 0 and 3 to get 3. [tex]y=3[/tex]3.) To figure out y, you have to plug in the x value into the equation given:[tex]y=-2(1)+3[/tex]
Multiply −2 and 1 to get −2. Add −2 and 3 to get 1. [tex]y=1[/tex]4.) To figure out y, you have to plug in the x value into the equation given:[tex]y=-2(2)+3[/tex]
Multiply −2 and 2 to get −4. Add −4 and 3 to get −1. [tex]y=-1[/tex]______________________________
can i get the answer. If i do I will get into harvard
Answer:
its ur fault that you did it late
Step-by-step explanation:
but the answer is 2 1/9
Apply the distributive property to create an equivalent expression. 6(3c-5d+6)=
Answer:
18c - 30d + 36
Step-by-step explanation:
please help I will have to do 7th-grade again if I don't pass I need help
please answer the questions below so I don't fail
it is do tomorrow
Answer:
number7 9452.425 and number 4 2 hrs
Step-by-step explanation:
85+15 is 100 so to get one hundred percent you alr have 85 but you need to find 15
find what 30percent of 400 it is 120 if hes going 60 mph:
120/60 is 2
so it took him 2 hrs
Solve for w. You must write your answer in fully simplified form.
19 = -8w
Answer:
The answer is 11
HELP PLEASEEEEEEEEEEEEEEEEEEEEEE ITS A GRADE
Answer:
as x increases, y increses
the parabola grows wider and taller, meaning that the y and x values will both increase:)
Answer:
B for the first graph (as x increases, y increases), D for the second graph (as x increases, y decreases), D for the third graph (minimum at y = -9), and A for the forth graph (the graph opens up because the a value in the equation is positive)
Can someone please explain this to me and help me
Answer:
ok
Step-by-step explanation:
Solve.
6x - 28 =-76. X=
Answer:
6x-28+28=-76+28
6x=-48
6x÷6=x
-48÷6 =-8
x=-8
Step-by-step explanation:
correct me or wrong
HELP PLS! It’s question 15
Answer:
A: C = 15N
Step-by-step explanation:
30/2 = 15 (the cost of 1 class)
Wich ordered pair is a solution to the followimg inequality?
[tex]y\leq \frac{2}{5}x-2[/tex]
(5,0)
(0,5)
(-2,5)
(-5,2)
Answer:
Option A: (5,0)
Step-by-step explanation:
Given
[tex]y \leq \frac{2}{5}x-2[/tex]
Required
Select an ordered pair
Option A: (5,0)
This means
[tex]x = 5[/tex] [tex]y = 0[/tex]
Substitute these values in [tex]y \leq \frac{2}{5}x-2[/tex]
[tex]0 \leq \frac{2}{5} * 5 - 2[/tex]
[tex]0 \leq 2 - 2[/tex]
[tex]0 \leq 0[/tex]
This is a true statement.
Option B: (0,5)
This means
[tex]x = 0[/tex] [tex]y = 5[/tex]
Substitute these values in [tex]y \leq \frac{2}{5}x-2[/tex]
[tex]5 \leq \frac{2}{5}* 0 -2[/tex]
[tex]5 \leq 0 -2[/tex]
[tex]5 \leq -2[/tex]
This is a false statement.
Option C: (-2,5)
This means
[tex]x=-2[/tex] [tex]y = 5[/tex]
Substitute these values in [tex]y \leq \frac{2}{5}x-2[/tex]
[tex]5 \leq \frac{2}{5}* -2 -2[/tex]
[tex]5 \leq \frac{-4}{5} -2[/tex]
[tex]5 \leq \frac{-4-10}{5}[/tex]
[tex]5 \leq \frac{-14}{5}[/tex]
[tex]5 \leq -2.8[/tex]
This is a false statement.
Option D: (-5,2)
This means
[tex]x=-5[/tex] [tex]y = 2[/tex]
Substitute these values in [tex]y \leq \frac{2}{5}x-2[/tex]
[tex]2 \leq \frac{2}{5}* -5 -2[/tex]
[tex]2 \leq -2 -2[/tex]
[tex]2 \leq -4[/tex]
This is a false statement.
Only option A represents a true statement,
Hence, option A is a solution to the inequality