You have the following equation:
5g + h = g
In order to solve for g, you first organize the previous equation, as follow:
5g + h = g substract g both sides and substract h both sides too
5g - g = -h
4g = -h dive by 4 both sides
g = -h/g
Then, the answer is g = -h/g
1A shipment of sugar fills 4 1/5containers. If each container holds 2 1/3 tons of sugar, what is the amount of sugar in the entire shipment? Write your answer as a mixed number in simplest form
Answer:
9 4/5 tons of sugar.
Explanation:
The number of containers in a shipment of sugar = 4 1/5 containers
Amount of sugar in each container = 2 1/3 tons
Therefore, the amount of sugar in the entire shipment is:
[tex]\begin{gathered} =4\frac{1}{5}\times2\frac{1}{3} \\ =\frac{21}{5}\times\frac{7}{3} \\ =\frac{7\times7}{5} \\ =\frac{49}{5} \\ =9\frac{4}{5}\text{ tons} \end{gathered}[/tex]There are 9 4/5 tons of sugar in the entire shipment.
Given the function g(x) = 8x-2, compare and contrast g(-2) and gl4). Choose the statement that is true concerning these two values. O The value of g(-2) is larger than the value of g(4) OThe value of g(-2) is the same as the value of g(4). OThe value of g(-2) is smaller than the value of g(4) OThe values of g(-2) and g(4) cannot be compared.
Given: g(x) = 8x - 2
So, the value of g(-2) = 8 * -2 - 2 = -18
And g(4) = 8 * 4 - 2 = 30
We will check the given statements according to the values of g(-2) and g(4):
1) The value of g(-2) is larger than the value of g(4) [Wrong]
Because the value of g(-2) is smaller then the value of g(4)
2) The value of g(-2) is the same as the value of g(4) [Wrong]
3) The value of g(-2) is smaller than the value of g(4) [True]
4) The values of g(-2) and g(4) cannot be compared. [wrong]
So, the true statement is The value of g(-2) is smaller than the value of g(4)
F.28. 21 and 22 are vertical angles. If mZ1 =(6x + 11) and mZ2 = (10x - 9), find mZ1.mZ1 =
It is given that angle 1 and angle 2 are vertical angles.
It is known that the vertical angles are congruent.
Therefore it follows:
[tex]\begin{gathered} m\angle1=m\angle2 \\ 6x+11=10x-9 \\ 11+9=10x-6x \\ 20=4x \\ x=5 \end{gathered}[/tex]So the value of angle 1 is given by:
[tex]\begin{gathered} \angle1=6x+11 \\ =6\times5+11 \\ =41 \end{gathered}[/tex]Hence the angle is 41 degrees.
Which expression is not equivalent to 2rº + 10x + 12? (1) (2x + 4)(x + 3) (3) (2x + 3)(x + 4) (2) (2x + 6)(x + 2) (4) 2(x + 3)(x + 2)
(2x + 3)(x + 4) = 2x² + 8x + 3x + 12 = 2x² + 11x + 12 ≠ 2x² + 10x + 12
So, the expression (2x + 3)(x + 4) is not equivalent to 2x² + 10x + 12
A certain drug is made from only two ingredients: compound A and compound B. There are 5 milliliters of compound A used for every 7 milliliters of compound B. If a chemist wants to make 1056 milliliters of the drug, how many milliliters of compound A are needed?what is the answer?
If the proportion of compounds A and B is 5 to 7, we can calculate the amount of each compound in the total of 1056 using the equations:
[tex]\begin{gathered} A=\frac{5}{5+7}\cdot1056 \\ A=\frac{5}{12}\cdot1056 \\ A=440 \\ \\ B=\frac{7}{5+7}\cdot1056 \\ B=\frac{7}{12}\cdot1056 \\ B=616 \end{gathered}[/tex]So the amount of compound A needed is 440 ml.
Question 10 (1 point)Givenm
The measure of angle ∠AOB is 139 degrees, that is the value of m∠AOB is 139.
We are given;
m∠AOC is a straight line = linear pair
m∠AOB = 8x + 51 degree
m∠BOC = 6x - 25 degree
We know that sum of the angles of linear pair is 180 degrees.
So,
∠AOB + ∠BOC = 180 degrees
8x + 51 degree + 6x - 25 degree = 180 degrees
14x = 180 - 26 degrees
x = 154/14 degrees
x = 11 degrees
Therefore,
m∠AOB = 8x + 51 degree = 8 * 11 + 51 degrees = 139 degrees.
m∠BOC = 6x - 25 degree = 6 * 11 - 25 degrees = 41 degrees.
Thus, the measure of angle ∠AOB is 139 degrees, that is the value of m∠AOB is 139.
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The distribution of the binomial random variable (x) has the following parameters: p = 0.3 and n = 9 Determine the P(X ≥ 2)
Answer:
Explanation:
The formula for calculating binomial probability is expressed as
P(x) = nCx * p^x * q^(n - x)
where
n is the number of trials
x is the number of successes
p is the probability of success
q is the probability of failure
From the information given,
n = 9
p = 0.3
q = 1 - p = 1 - 0.3 = 0.7
By using a binomial probability calculator,
P(x ≥ 2) = 0.804
show 1.25 and -1.25 as points on the number line. what is the distance between the two points explain
The distance between 1.25 and -1.25 is computed as follows:
1.25 - (-1.25) = 1.25 + 1.25 = 2.5
Billy is solving the inequality 4x - 4 > 20:His work is shown:4x - 4 > 20+4+44x > 244 4X < 6Did Billy solve the problem correctly? If not, where did Billy make a mistake
He added 4 to both sides:
[tex]\begin{gathered} 4x-4+4>20+4 \\ 4x>24 \end{gathered}[/tex]He divided both sides by 4:
[tex]\begin{gathered} \frac{4x}{4}>\frac{24}{4} \\ x>6 \end{gathered}[/tex]However he got:
x < 6
He flipped the inequality sign which is incorrect since he is not dividing by a negative number
Which geometric formulas describe functions that are nonlinear? Select all that apply. (A) P=3s 6) A=65² C) d=2r D C= 2tr E 4. V=
Answer:
B. A = 6s²
E. V = (4/3)πr³
Explanation:
A formula describes a function that is nonlinear if the exponent of the variable is greater than 1.
Therefore, the geometric formulas that describe functions that are nonlinear:
A = 6s²
V = (4/3)πr³
Because the variable s has an exponent equal to 2 for the first one and the variable r has an exponent equal to 3 for the second one.
Select all the equations on which the point (10,0) lies. O 5x + 2y = 15 O 2x + 4y = 20 O x + y = 10 O 3x + 3y = 13 4x + 2y = 20 O 6x + y = 50
2x + 4y = 20
when y = 0
2x + 4(0) = 20
2x = 10
Divide both-side of the equation by 2
x = 10
Hence, it lies on the point 2x + 4y = 20
point (0,6) in which quadrant and axis
Given the point:
(0, 6)
Let's find the quadrant and the axis where the point is located.
We have:
(x, y) ==> (0, 6)
The x-coordinate of the point is 0, while the y-coordinate of the point is 6.
Here, the point (0, 6) lies on the y-axis.
Also, since the x-coordinate is 0, we can say the point lies in between quadrant I and quadrant II.
From the graph above we can see the point (0, 6) is between quadrant I and II, and the point lies on the y-axis.
ANSWER:
• The point is in beween Quadrant I and II
,• The point lies on the y-axis.
Chris had a new refrigerator delivered to his home for $950. He gave the delivery
person a $20 tip. What percent tip did he give the delivery person?
2.1%
21%
0.021%
0.21%
He give the delivery person a tip of 2.1%
What is delivery ?
Transporting items from a source point to a predetermined destination is known as delivery. Roads, railroads, shipping lanes, and airline networks all play major roles in the delivery of cargo (physical products). Specialized networks, such as pipelines for liquid products, power grids for electrical power, computer networks like the Internet, or broadcast networks for electronic information, may be used to distribute specific sorts of goods. [1] A specific subcategory is car transport, and an associated variation is autorack, which involves shipping cars through railroad.
Delivery, which comprises both transportation and distribution, is a crucial aspect of trade and commerce.Distribution is the overall process of providing things, while logistics is the study of efficient delivery and disposition procedures for both persons and materials. Distributors are companies that specialize in moving commercial items from their site of manufacture or storage to their point of sale, whereas delivery services are companies that focus on moving goods to consumers. Deliveries of goods for both commercial and private purposes are also made by postal, courier, and moving services.
According to the question
The new refrigerator delivered to his home for $950
tip he gave to the delivery person = $20
let tip he gave to the person in percentage be x
$20= [tex]\frac{x}{100}(950)[/tex]
x =[tex]\frac{20(100)}{950}[/tex]
x=2.1%
Thus the tip is 2.1%
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A farmer is telling a rectangle field that is 63 yards long and 60 yards wide what is the distance between opposite corners of the farmers field?
87 yards
Explanations:
Given the following parameters:
• Length of the rectangle = 63 yards
,• Width of the rectangle = 60 yards
The distance between opposite corners of the farmer's field is the diagonal of the rectangle.
To determine the diagonal of the rectangle (d), we will use the Pythagoras theorem:
[tex]\begin{gathered} d^2=l^2+w^2 \\ d^2=63^2+60^2 \\ d^2=3969+3600 \\ d^2=7,569 \\ d=\sqrt[]{7,569} \\ d=87yards \end{gathered}[/tex]Hence the distance between opposite corners of the farmers' field is 87 yards
Write the factored form of the least common denominator needed to simplify this expression.9419 + 3+g2 + 29- 15+5
ANSWER
[tex]g^2+2g-15=(g+5)(g-3)[/tex]EXPLANATION
Given:
[tex]\frac{g+1}{g^2+2g-15}+\frac{g+3}{g+5}[/tex]Desired Outcome:
The factored form of the least common denominator
Simplify the expression
[tex]undefined[/tex]Why is the product of two rational numbers always rational?Select from the drop-down menus to correctly complete the proof. Let ab and cd represent two rational numbers. This means a, b, c, and d are Choose... integers or irrationals number , and b and d are not 0. The product of the numbers is acbd, where bd is not 0. Both ac and bd are Choose... integers or irrationals numbers, and bd is not 0. Because acbd is the ratio of two Choose... integers or irrationals numbers, the product is a rational number.
a rational number is a type of real numbers, which is in the form of p/q where q is not equal to zero.
Let a/b and c/d represent two rational numbers. This means a, b, c, and d are integers, and b and d are not 0. The product of the numbers is ac/bd, where bd is not 0. Both ac and bd are integers, and bd is not 0. Because ac/bd is the ratio of two integers, the product is a rational number
What interest rate would be necessary to obtain $6,500 in 8 years if $5,000 is the amount of the original investment and the interest is compounded yearly?
The formular is
[tex]A=P(1+\frac{r}{n})^{nt}[/tex][tex]6500=5000(1+\frac{r}{1})^{1\times8}[/tex][tex]\frac{6500}{5000}=(1+r)^8[/tex][tex]1.3=(1+r)^8[/tex][tex]1.3^{\frac{1}{8}}=(1+r)^{8\times\frac{1}{8}}[/tex][tex]1.3^{0.125}=1+r[/tex][tex]1.0333=\text{ 1+r}[/tex]subtract 1 from bothside
[tex]r\text{ = 0.0333}[/tex]R = 0.0333 x 100% = 3.33%
This list gives information about a classroom.Study the list carefully. Then, use the drop-down menu to complete the statementbelow about the listWidth in Feet:Length in FeetDesks:Computers:Total:35302114100CLEARCHECKItmake sense to add the items on the list because these quantities| be expressed using the same unit.The number 100have meaning for the classroom
the answer is
It does not make sense to add item on the list because these quantities to be expressed in the same units and the number 100 does not have meaning for the classroom.
Answer:
Step-by-step explanation:
darnell and donovan are both trying to calculate the area of an obuste trangle examine their calculations below who is correct and why
The area of triangle is
[tex]undefined[/tex](-9,-5),(-6,1) and (5,8)What is the perimeter?
Answer
The perimeter of the triangle is 48.298 units
Explanation
The triangle has the vertices (-9, -5), (-6, 1) and (5, 8).
To find the perimeter of the triangle, we need to find the lengths of the sides of the triangle. The perimeter is the sum of all its sides.
Each side will be calculated from the distance between the vertices.
The distance between two points with the coordinates (x₁, y₁) and (x₂, y₂) is given as
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
The sides of the triangle will be between
(-9, -5) and (-6, 1)
(-9, -5) and (5, 8)
(-6, 1) and (5, 8)
(x₁, y₁) and (x₂, y₂) is (-9, -5) and (-6, 1)
x₁ = -9
y₁ = -5
x₂ = -6
y₂ = 1
d = √[(-6 - (-9))² + (1 - (-5))²]
d = √[(-15)² + (6)²]
d = √(261)
d = 16.155
(x₁, y₁) and (x₂, y₂) is (-9, -5) and (5, 8)
x₁ = -9
y₁ = -5
x₂ = 5
y₂ = 8
d = √[(5 - (-9))² + (8 - (-5))²]
d = √[(14)² + (13)²]
d = √(365)
d = 19.105
(x₁, y₁) and (x₂, y₂) is (-6, 1) and (5, 8)
x₁ = -6
y₁ = 1
x₂ = 5
y₂ = 8
d = √[(5 - (-6))² + (8 - 1)²]
d = √[(11)² + (7)²]
d = √(170)
d = 13.038
The perimeter of the triangle is thus given as
Perimeter = 16.155 + 19.105 + 13.038
= 48.298 units
Hope this Helps!!!
the decreasing number of wolves in the northern section of the southern the function p(t) = 80(0.956)t. In the function p(t) explain what 80 and 0.956 represent
The general form of the population or exponential decay is:
[tex]p(t)=p_0(1-i)^t[/tex]where p(t) is the population of wolve in time, p0 is the initial population and (1-i) is the rate of decay.
so 80 means the initial population of wolves
and 0.956 is the rate of decay
An electric guitar costs $790, with a $235 full-replacement warranty. If the manufacturer sells 598,274 warranties andhas to honor 11% of them, how much profit did the manufacturer gain from the warranties? Show work
A ferris wheel has a radius of 65 feet. How many feet will the feris wheel have turned after 10 rotations.
we need to calculate the perimeter of a circle of radius 65
perimeter=2pi*radius=2pi*65=130pi
then after 10 rotations the wheel have turned 10(130pi) feets= 1300pi feets
Use the point-slope formula to write an equation of the line that passes through (-3, 2) and (-6, -2).Write the answer in slope-intercept form (if possible).
The equation of a line in the slope-intercept form is y = mx + b, where "m" is the slope and b is the y-intercept.
To find the equation of the line given two points (x, y), follow the steps below.
Step 01: Substitute the point (-3, 2) in the equation.
To do it, substitute x by -3 and y by 2.
[tex]\begin{gathered} 2=m\cdot(-3)+b \\ 2=-3m+b \end{gathered}[/tex]Isolate b by adding 3m to both sides of the equation.
[tex]\begin{gathered} 2+3m=-3m+b-3m \\ 2+3m=-3m+3m+b \\ 2+3m=b \end{gathered}[/tex]Step 02: Substitute b in the equation of the line.
Knowing that b = 2 + 3m. Then,
[tex]\begin{gathered} y=mx+b \\ y=mx+2+3m \end{gathered}[/tex]Step 03: Substitute the point (-6, -2) in the equation from step 02.
To do it, substitute x by -6 and y by -2.
[tex]\begin{gathered} -2=m\cdot(-6)+2+3m \\ -2=-6m+2+3m \\ -2=-3m+2 \end{gathered}[/tex]Isolate "m" by subtracting 2 from both sides.
[tex]\begin{gathered} -2-2=-3m+2-2 \\ -4=-3m \end{gathered}[/tex]Finally, divide both sides by -3:
[tex]\begin{gathered} \frac{-4}{-3}=\frac{-3}{-3}m \\ \frac{4}{3}=m \end{gathered}[/tex]Knowing "m", use the equation from step 1 to find "b".
Step 04: Find "b".
[tex]\begin{gathered} b=2+3m \\ \end{gathered}[/tex]Substituting m by 4/3 and solving the equation:
[tex]\begin{gathered} b=2+3\cdot\frac{4}{3} \\ b=2+\frac{3\cdot4}{3} \\ b=2+4 \\ b=6 \end{gathered}[/tex]Answer: The equation of the line is:
[tex]y=\frac{4}{3}x+6[/tex]There are 48 employees in a company. On a certain day, 36 were present. What percent showed up for work'
Answer:
75%
Step-by-step explanation:
Divide 48 by 36:
36/48=
(12*3)/(12*4)=
3/4=0.75
Multiply the decimal by 100 to get the percent:
0.75*100=75%
The workers present on the certain day given is 75%
What is percentage?A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.
Given that, There are 48 employees in a company. On a certain day, 36 were present.
To find the percentage of workers present = present/totalx100
= 36/48x100
= 75
Hence, The workers present on the certain day given is 75%
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Question 10 of 25Which of the following are roots of the polynomial function below?Check all that apply.F(x) = 2x³-²-9x+6OA. 9-√55B. 2□ C. -3-√33D.9+√√554-3+√33E.SUBMIT
Given
F(x) = 2x³-²-9x+6
Find
roots of the polynomial function below
Explanation
we have to find the roots of the polynomial function.
[tex]\begin{gathered} f(x)=2x^3-x^2-9x+6 \\ f(x)=(x-2)(2x^2+3x-3) \end{gathered}[/tex]now solve quadratic equation ,
[tex]\begin{gathered} 2x^2+3x-3=0 \\ \\ x=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ \\ x=\frac{-3\pm\sqrt{(3)^2-4\times2\times(-3)}}{4} \\ \\ x=\frac{-3\pm\sqrt{9+24}}{4} \\ \\ x=\frac{-3\pm\sqrt{33}}{4} \end{gathered}[/tex]Final Answer
Therefore , the correct options are B , C and E
Assume five coins are tossed, and we're trying to figure out how many tails will appear. Let's use the letter T to denote the number of tails that will emerge. Find the values of a random variable called T.
The probability (P) can be gotten as follows:
[tex]P=\frac{number\text{ of favorable outcomes}}{total\text{ number of outcomes}}[/tex]Each coin has a 1/2 = 0.5 probability of getting a tail. Thus, to get the probability of the 5 coins is:
[tex]\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}=\frac{1}{32}=0.0313[/tex]Then the probability for a tail to emerge
Bradley is trying to find a missing factor a product of that factor has a three in ones digit is the missing factor even or odd explain
The factor when Bradley is trying to find a missing factor a product is odd.
How to illustrate the information?From the information given, the product of that factor has a ones digit = 3. From the information, we have to find whether the missing factor is even or odd.
We know that, the product of two odd numbers is odd. The product of two even numbers is even.
The product of one even and one odd number is even.
If one digit of a number is odd then the number must be odd.
It means factors of odd numbers are odd.
If the product of that factor has 3 in the ones digit then, the missing factor will be odd.
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find the equations of the line those pass through (2/3, -3/5) and have slope 5/3
Slope intercept form (general)
y = mx + b
Where:
m= slope
b= y-intercept
m = 5/3
y = 5/3x + b
Replace ( x,y ) by the given point (2/3,-3/5) and solve for b.
-3/5 = 5/3 (2/3) + b
-3/5 = 10/9 + b
-3/5 - 10/9 = b
b = -77/45
y = 5/3x - 77/45
Regular pentagon HIJKL is shown below. What is the measure of ANGLE HIK? (image attached)A. 36 degreesB. 54 degreesC. 72 degreesD. 108 degreesthank you ! :)
Given a regular pentagon HIJKL.
We are asked to find the measure of Angle HIK
To find the measure of a central angle of a regular pentagon, we make a circle in the middle of the pentagon. We know that a circle is 360 degrees around.
Now, we will divide the 360 by the five angles. Now, the measure of each central angle is equal to:
360/5
So,
Angle HIK = 360/5
Angle HIK = 72˚
Therefore, the correct option is C, which is 72˚.