ANSWER and EXPLANATION
We want to identify the first term of the algebraic expression given:
[tex]4x-6[/tex]The first term of the expression is:
[tex]4x[/tex]The variable in the expression is the algebraic term. The algebraic term is:
[tex]x[/tex]Therefore, the coefficient of the first term is:
[tex]4[/tex]Evaluate the expression below for a=2, b=3, and c= -2 a + (b - c)^2
[tex]a+(b-c)^2[/tex][tex]2+(3-(-2))^2[/tex][tex]2+(3+2)^2[/tex][tex]2+(5)^2[/tex][tex]2+25=27^{}[/tex]
A certain solution has hydrogen ion concentration of 0.0000653 miles per liter write this number in scientific notation.
Solution:
Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. In this case, we have that:
[tex]0.0000653=653x10^{-5}[/tex]so that, the correct answer is:
[tex]653x10^{-5}[/tex]6r = 726r − 6 = 72 − 6r = 66Is Brooke’s solution correct? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation.
SOLUTION
Given the question, the following are the solution steps to answer the question.
STEP 1: Write the given solution
[tex]\begin{gathered} 6r=72 \\ 6r-6=72-6 \\ r=66 \end{gathered}[/tex]STEP 2: Determine whether Brooke's solution is correct
Brooke's solution is incorrect because Brooke subtracted the co-efficient of r which is 6 from both sides. Brooke can not use this method since 6 is multiplied to the unknown value which ir and not added to both sides.
The correct step will be to divide both sides by the coefficient of r as seen below:
[tex]\begin{gathered} 6r=72 \\ Coefficeint\text{ of r is 6} \\ Divide\text{ both sides by 6} \\ \frac{6r}{6}=\frac{72}{6} \\ r=12 \end{gathered}[/tex]I am in basic math an need help. so what is 2 1/4 divided by 1/2 I keep getting 4 1/2 what an I doing wrong
In order to divide a mixed number by a fraction we have to take into account:
- It is easier to convert the mixed number into an equivalent fraction.
- Dividing by a fraction is equivalent to multiplying by the reciprocal of that fraction.
In this case, we have to divide the number 2 1/4 by 1/2.
We start by converting it to a fraction:
[tex]2+\frac{1}{4}=\frac{2\cdot4+1}{4}=\frac{8+1}{4}=\frac{9}{4}[/tex]Then, we have to divide it by 1/2. As we state before, this is the same as multiply by the reciprocal: 2/1, so we have:
[tex]\frac{\frac{9}{4}}{\frac{1}{2}}=\frac{9}{4}\cdot\frac{2}{1}=\frac{18}{4}=\frac{16+2}{4}=\frac{16}{4}+\frac{2}{4}=4+\frac{1}{2}[/tex]Answer: 4 1/2
Write an equation in slope-intercept form for the line with y-intercept 3 and slope 2.
Answer:
y=2x+3
Step-by-step explanation:
Slope intercept form: y=mx+b
mx(slope)=2
(b)y-intercept=3
y=2x+3
Hope this helps :)
Use the order of operations to evaluate the expression.7 + { 6 + (3 x 2 )} x 5A. 67B. 95C. 97D. 125
ANSWER
67 (Option A)
EXPLANATION
Given:
[tex]7+\lbrace6+(3\times2)\rbrace\times5[/tex]Desired Outcome:
Evaluate the expression
Using the order of operations
Note: Follow the following ORDER to evaluate the expression
1. The parenthesis are completed first.
2. The exponents come next.
3. Multiplication and division are done from left to right when they are encountered.
4. Addition and subtraction are done from left to right when they are met.
1. Complete parenthesis first
[tex]\begin{gathered} 7+\lbrace6+6\rbrace\times5 \\ 7+\lbrace12\rbrace\times5 \end{gathered}[/tex]2. Multiplication and division are done from left to right when they are encountered.
[tex]\begin{gathered} 7+\lbrace12\rbrace\times5 \\ 7+60 \end{gathered}[/tex]3. Addition and subtraction are done from left to right when they are met.
[tex]\begin{gathered} 7+60 \\ =67 \end{gathered}[/tex]Hence, the answer is 67 (Option A)
The scatter plot shows the relationship between the number of chapters and the total number of page’s for several books
we have
x ----> number of chapters
y ---> number of pages
In this problem
we have a proportional relationship between the variables x and y (because the line passes through the origin)
so
The linear equation is of the form
y=Kx
where k is the constant of proportionality
K=y/x
looking at the graph
we take the point (4,40)
so
k=40/4=10
the equation is
y=10x
For y=180
substitute
180=10x
solve for x
x=180/10
x=18
the answer is 18 chaptersKeaton needs to fill juice cups for her little sister's birthday party. There are 22 juice cups and each juice cup holds 12 fluid ounces. The juice comes in 1-gallon bottles. How many 1-gallon bottles of juice will Debbie need to purchase?
(1 quart = 32 fluid ounces, 1 gallon = 4 quarts)
Answer: 3 Gallons
Step-by-step explanation:
To find the total number of ounces she needs of juice we need to multiply the 22 cups by 12 ounces.
22 x 12 = 264
Now to find the number of quarts we need to convert the ounces into quarts by dividing by 32.
264 / 32 = 8.25
To find the number of gallons we need you have to convert it into gallons by dividing by 4.
8.25 / 4 = 2.0625
Because you cannot purchase .0625 of a gallon, we need to round up and purcahse 3.
PENNANT Tameeka is in charge of designing a school pennant for spirit week. She wants the base to be 34 feet and the height to be 6 feet. She has 20 square feet of paper available. Does she have enough paper? Explain.
Given:
Required base of pennant is, b = 34 ft.
Required height of pennant is, h = 6 ft.
The objective is to fin
It costs $24 to join the health club A,plus an additional $20 per month. It costs $80 to join the healths club B,plus an additional $12 per month. After how many months of membership would it cost the4 same to belong to either health club? What is that cost?
Answer:
7 months. 164 dollars.
Step-by-step explanation:
Club a = 24 + 20x
Club b = 80 +12x
a = b
24 + 20x = 80 +12x
8x = 56
x = 7
7 months before it is the same.
write an equation parallel to y=3x+6 that passes through the point (4,7).
The equation of a line in the slope intercept form is expressed as
y = mx + c
Where
m represents slope
c represents y intercept
The given equation is
y = 3x + 6
If we compare the given equation with the slope intercept equation, we can see that slope = 3
If two lines are parallel, it means that they ahve the same slope. Thus, the slope of the line
that passes through the point (4,7) is 3
We would find it's y intercept, c by substituting m = 3, x = 4 and y = 7 into the slope intercept equation. It becomes
7 = 3 * 4 + c
7 = 12 + c
c = 7 - 12
c = - 5
Thus, we would substitute m = 3 and c = - 5 into the slope intercept equation to get the equation of the line. Thus, we have
y = 3x - 5
When evaluated for y =8the expression y-3/y^2+14
Given expression is
[tex]\frac{y-3}{y^2+14}[/tex]It is given that y = 8.
Hence the value of the expression is
[tex]\frac{8-3}{8^2+14}=\frac{5}{78}[/tex]Hence the answer is 3. 5/78
i need to round to tge narest tenth
Answer:
[tex]\lbrace8.4,0.6\rbrace[/tex]Step by step explanation:
Solve for x:
[tex]x^2-11x+5=-2x[/tex]As a first step, solve using inverse operations to solve equations:
[tex]\begin{gathered} x^2-11+2x+5=0 \\ x^2-9x+5=0 \end{gathered}[/tex]Now, to solve this quadratic function we need to use the quadratic formula:
[tex]\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ \text{where,} \\ ax^2+bx+c=0\text{ is the form of the function} \end{gathered}[/tex]Then, the solutions for the equation:
[tex]\begin{gathered} x_1=\frac{9+\sqrt[]{(-9)^2-4(1)(5)}}{2(1)}=8.4 \\ x_2=\frac{9-\sqrt[]{(-9)^2-4(1)(5)}}{2(1)}=0.6 \end{gathered}[/tex]A used automobile dealership recently reduced the price of a used compact car by 6%. If the price of the car before discount was $18,100, find the discount and the new price
The discount in price is
Thus, the new price is $
Hi I need help rewriting this equation so there is no fractions in it
We will rewrite the equation as follows:
[tex]8+\frac{2}{3}x=\frac{5}{6}\Rightarrow6(8+\frac{2}{3}x)=6(\frac{5}{6})[/tex][tex]=48+4x=5[/tex]So, the equation without fractions is:
[tex]48+4x=5[/tex]Determine if the triangle with the given sides is acute, obtuse, or right.80, 84, 116
Given: The sides of a triangle below
[tex]\begin{gathered} side1=80 \\ side2=84 \\ side3=116 \end{gathered}[/tex]To Determine: If the triangle is acute, obtuse or right
Solution
If it is right triangle, then the Pythagoras theorem would hold
[tex]\begin{gathered} Pythagoras-Theorem \\ Hypothenuse^2=Opposite^2+Adjacent^2| \\ Hypothenuse=Longest-side \end{gathered}[/tex]Therefore:
[tex]\begin{gathered} 116^2=80^2+84^2 \\ 13456=6400+7056 \\ 13456=13456 \end{gathered}[/tex]From the above calculation, we can conclude that the triangle is
RIGHT TRIANGLE
In what form is water returned to earths surface?
A. Vapor
B. Precipitation
C. Wind
Answer asap for brainlist please nobody will help me
Answer:
B. Precipitation
Step-by-step explanation:
Precipitation is atmospheric water vapor that condenses to a liquid and then falls back to earth due to gravity.
If answer is decimal should be rounded to hundredths place
A rectangular prism has a volume that can be obtained using the formula
[tex]V=A\text{ x h}[/tex]where
[tex]\begin{gathered} A=\text{base area of the prism} \\ h=\text{height of the prism} \end{gathered}[/tex]Substituting the given values of
[tex]\begin{gathered} V=150 \\ A=10 \\ \end{gathered}[/tex]Into the equation, we will obtain
[tex]150=10\times h[/tex]If we make h the subject of the formula
[tex]h=\frac{150}{10}[/tex][tex]h=15\text{ units}[/tex]Based on the diagram below, find the following lengths:BX208E1A7 XDС44AB =AEED =FC =AC =DC =
Answer:
AB = 14
ED = 10
AC = 16
AE = 7
FC = 10
DC = 8
Explanation:
In a medial triangle, larger triangle is similar to the smaller triangle; therefore, the ratio of the side lengths is the same:
are the events mutually exclusive?event A: rational numbersevent B: irrational numbers
Given:
There are given that the statement to find them mutually exclusive.
Explanation:
According to the concept of mutually exclusive:
Tw events A and B of any sample space are mutually exclusive if the occurrence of any one of them excludes the occurrence of the other event.
Then, twp events A and B cannot occur simultaneously.
Now,
From the given question:
Event A and events B, which means, rational numbers and irrational numbers are mutually exclusive because they have no numbers in common.
So, they span the entire set of real numbers which means both are real numbers.
Final answer:
Hence, the correct option is Yes-Mutually exclusive.
482 + 51.8 =
O 1000
O 430.2
O 533.8
O 100
In the middle school math class of 30 students, 24 got a grade over 90 points on a unit test. What decimal and the percent of the students got a grade above 90 points?
The percentage of students who got above 90 point is 80%
the decimal student got grade above the 90 points is 0.8
What is Decimal?
The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the name for the method of representing numbers in the decimal system.
Given,
Total no. of students = 30
No. of students who score above 90 points = 24
We have to find the percentage of the students who got above 90 points
So, to calculate,
24 / 30 x 100 = 80%
Now, we have to convert percent into decimal
so, we have,
80 / 100 = 0.8
Hence, 80% percent student got grade above 90 points
And 0.8 of the student got grade above the 90 points
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795,860,913,789 in word form
1. Make a frequency table for the scores on a ten-point quiz: 5, 5, 7, 8, 8, 6, 7, 8, 7, 7, 8, 10,9
To make the frequency table we need to count how many of each scores we have, for example we have two fives; 4 sevens, and so on, then the table is:
A line passes through (-1, 7) and (1, 3).
Which answer is the equation of the line?
Answer:
hgg
Step-by-step explanation:
Find the value of the test statistic z.The claim is that the proportion of peas with yellow pods is equal to 0.25 (or 25%). The sample statistics from one experiment include 430 peas with 126 of them having yellow pods.
You have to calculate the z-value or value of the test statistic z, for the proportion of yellow pods. The form of the z-statistic used to study the population proportion is:
[tex]Z=\frac{\hat{p}-p}{\sqrt[]{\frac{p(1-p)}{n}}}\approx N(0,1)[/tex]The population proportion of the yellow pods is p=0.25.
From a sample of 430 peas, 126 of them had yellow pods, using this information you have to calculate the sample proportion p-hat (^p)
The sample proportion is equal to the quotient between the number of successful outcomes "x" (number of yellow pods) and the total number of outcomes "n" (number of peas sampled)
[tex]\begin{gathered} \hat{p}=\frac{x}{n} \\ \hat{p}=\frac{126}{430} \\ \hat{p}=0.29 \end{gathered}[/tex]Once determined the sample proportion, you can calculate the z-value as follows:
[tex]\begin{gathered} Z=\frac{0.29-0.25}{\sqrt[]{\frac{0.25(1-0.25)}{430}}} \\ Z=\frac{0.04}{\sqrt[]{\frac{0.25\cdot0.75}{430}}} \\ Z=\frac{0.04}{\sqrt[]{\frac{0.1875}{430}}} \\ Z=1.915\approx1.92 \end{gathered}[/tex]The value of the test statistic is 1.92.
*-*-*-*-*
The standard deviation of the distribution of the sample proportion:
To simplify the calculations you can calculate the standard deviation separately, the formula for this measure is the denominator of the formula of the Z-statistic:
[tex]\sigma=\sqrt[]{\frac{p(1-p)}{n}}[/tex]Using p=0.25
[tex]\begin{gathered} \sigma=\sqrt[]{\frac{0.25(1-0.27)}{430}} \\ \sigma=\sqrt[]{\frac{0.25\cdot0.75}{430}} \\ \sigma=\sqrt[]{\frac{0.1875}{430}} \\ \sigma=\sqrt[]{\frac{3}{6880}} \\ \sigma=0.0208 \end{gathered}[/tex]Then you can replace the result in the denominator of the formula to determine the Z-value:
[tex]\begin{gathered} Z=\frac{\hat{p}-p}{\sqrt[]{\frac{p(1-p)}{n}}} \\ Z=\frac{0.29-0.25}{0.0208} \\ Z=\frac{0.04}{0.0208}\approx1.92 \end{gathered}[/tex]Define integer give me an example of a number that is an integer and a number that is not an integer
Step-by-step explanation:
An integer (pronounced IN-tuh-jer) is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14, . 09, and 5,643.1.
7. A rectangle has a perimeter of 48 inches. Each side is a whole number of inches. What is the difference between the greatest and least areas that the rectangle can have? 2 2 A. 144 in. B. 121 in.? C. 120 in.? D. 110 in. 2
Given
The perimeter of the reactangle is, P = 48 inches
The objective is to find the difference between the greatest and least areas that the rectangle.
The sum of the length and breadth of the reactangle can be calculated using the formula of perimeter of the rectangle.
[tex]\begin{gathered} 2(l+b)=48 \\ l+b=\frac{48}{2} \\ l+b=24 \end{gathered}[/tex]The various possible pairs for obtaining 24 are,
[tex]\begin{gathered} 23,1 \\ 22,2 \\ 21,3 \\ 20,2 \\ 19,5 \\ 18,6 \\ 17,7 \\ 16,8 \\ 15,9 \\ 14,10 \\ 13,11 \\ 12,12 \end{gathered}[/tex]From the above pairs, consider the first and the last pairs.
The least area of the rectangle will be,
[tex]\begin{gathered} A(l)=23\times1 \\ =23inches^2 \end{gathered}[/tex]The greatest area of the rectangle will be,
[tex]\begin{gathered} A(g)=12\times12 \\ =144inches^2 \end{gathered}[/tex]Then, the difference can be calculated as,
[tex]undefined[/tex]Consider a collection of envelopes consisting of 2 red envelopes, 2 blue envelopes, 2 green envelopes, and 3 yellow envelopes. If three envelopes are selected at random, without replacement, determine the probability that they are all yellow envelopes.
The probability that all three randomly selected envelopes are yellow without replacement is 1/84.
What is a combination?It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.
We have,
2 red envelopes
2 blue envelopes
2 green envelopes
3 yellow envelopes.
Total number of envelopes = 9
The probability that all three randomly selected envelopes are yellow without replacement.
= [tex]\frac{^3C_1}{^9C_1} \frac{^2C_1}{^8C_1} \frac{^1C_1}{^7C_1}[/tex]
= (3/9) x (2/8) x (1/7)
= (3x2x1)/(9x8x7)
= 1/84
Thus,
The probability that all three randomly selected envelopes are yellow without replacement is 1/84.
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En el supermercado puedes llenar tu propio contenedor de osos
de miel. Un cliente compra 12 oz de
miel por $5.40.
1a) ¿Cuánto cuesta la miel por onza? (comunicar dinero usando un $ al principio, *
sin espacios y sin palabras)
