The solutions to the inequalities are h ≥ -14, v ≥ -19 and m ≤ 10
How to solve the inequality expressions?To do this, we simply solve the expressions one after the other
So, we have:
-3h ≤ 42
Divide both sides by -3
So, we have
h ≥ -14
-v/2 ≤ 9.5
Multiply both sides by -2
v ≥ -19
-4/5m ≥ -8
Multiply both sides by -5/4
m ≤ 10
Hence, the solutions to the inequalities are h ≥ -14, v ≥ -19 and m ≤ 10
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What number is 0.01 more than 253.498?
Answer:
1/64
Step-by-step explanation:
Doing it by hand, I get that the number is 1/16 which is equal to 0.0625 and the previous one will be 1/8 which is 0.125.
In the formula given by others, if you apply the 12 to it you will get an=2(5-12)which is equal to 0.0078, less than 0.100 but not the first number.
The correct value for n is 9 that will give us 2-4=1/16
253.508 is 0.01 more than 253.498.
What is Number system?A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.
It provides a unique representation of every number and represents the arithmetic and algebraic structure of the figures.
Let the number be x
so,
x=253.498+0.01
x= 253.508
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Identify the type of data (qualitative/quantitative) and the level of measurement for the assets of respondents in a survey. explain your choice.
Assets of respondents in a survey is a quantitative data and the level of measurement is a ratio scale.
What is a Qualitative and a Quantitative Data?Qualitative properties are properties that are observed and can generally not be measured with a numerical result.
Examples of quantitative data include, number of students in a class, weight of students in a class, etc.
Quantitative data is the value of data in the form of counts or numbers where each data set has a unique numerical value. This data is any quantifiable information that researchers can use for mathematical calculations and statistical analysis to make real-life decisions based on these mathematical derivations.
Examples of qualitative data include hair color, religion, nationality, etc.
Thus, assets of respondents in a survey is a quantitative data and the level of measurement is a ratio scale.
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If 25% of a number is the same as 20% of 30, what is the number?
Answer:24
Step-by-step explanation:
.25x=6
X=24
There are n gallons of oil in a tank. Then m gallons of oil are used. Write the percent of oil that remains in terms of m and n. What percent was used?
The percent of oil that remains in terms of m and n is (n - m) / n × 100
The percent that was used is m/n × 100
What is percentage?A percentage is a value or ratio that may be stated as a fraction of 100.
In this case, there are n gallons of oil in a tank and then m gallons of oil are used.
The gallons used is m/n × 100.
The percentage that remains will be:
= Amount remain / Original gallon × 100
= (n - m) / n × 100
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percent - of 50=45.5
There are 354 mangoes. They have to be made into trays of 9 mangoes each. How many trays can be made? How many mangoes are left behind?
There are 3 mangoes left behind after making 39 trays of 9 mangoes each
To find out how many trays can be made from 354 mangoes, we divide the total number of mangoes by the number of mangoes per tray.
Number of mangoes per tray = 9
Number of trays = 354 mangoes / 9 mangoes per tray
Number of trays = 39 trays
So, 39 trays can be made from 354 mangoes.
To determine how many mangoes are left behind, we subtract the number of mangoes used for the trays from the total number of mangoes.
Number of mangoes left behind = Total number of mangoes - Number of mangoes used for trays
Number of mangoes left behind = 354 mangoes - (39 trays * 9 mangoes per tray)
Number of mangoes left behind = 354 mangoes - 351 mangoes
Number of mangoes left behind = 3 mangoes
Therefore, there are 3 mangoes left behind after making 39 trays of 9 mangoes each
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A pump can fill a tank in 4 hours. Another pump can fill the same tank in 3 hours, and a third pump can fill it in 4 hours. How long would it take to fill the tank with all pumps working?
First pump can fill the tank in 4 hours. So, In 1 hour it fill 1/4 of the tank.
Second pump 1/3
Third one, 1/4
If three pumps are used at the same time, then in 1 hour they will fill
1/4 + 1/3 + 1/4 = 5/6
Therefore tank will be full = 1 ÷ 5/6 = 1.2 hours or 1 hour and 12 minutes
A cell phone company charges $60.00 a month for up to 1 gigabyte of data. The cost of additional data is $0.05 per megabyte. If d represents the number of additional megabytes used and c represents the total charges at the end of the month, write a linear equation that can be used to determine a user's monthly bill.
Answer:
60 + 0.05d
Step-by-step explanation:
I don’t understand what it’s asking me to do
Step-by-step explanation:
Rise means how many units you move up or down from point to point. On the graph that would be a change in the y values. Run means how far left or right you move from point to point. right it as a fraction then simplify the fraction. OR write it as a simplified equation. that's what I think
Lickety Sweet's Candy Store sells candy by the ounce. Maura paid $3.48 for a 12-ounce bag of hard watermelon candies and $1.28 for an 8-ounce bag of chewy chocolate candies. How much more do the watermelon candies cost per ounce than the chocolate candies?
Answer:
The Watermelon candies cost 13 more cents then the chocolate.
Step-by-step explanation:
$3.48 divided by 12 is 29 cents
$1.28 divided by 8 is 16 cents
Subtract 16 from 29 and get 13
If Lickety Sweet's Candy Store sells candy by the ounce. Maura paid $3.48 for a 12-ounce bag of hard watermelon candies and $1.28 for an 8-ounce bag of chewy chocolate candies, then she paid 13 more cents for watermelon candies cost per ounce than the chocolate candies
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Lickety Sweet's Candy Store sells candy by the ounce.
For 12-ounce bag of hard watermelon candies Maura paid $3.48
For 8-ounce bag of chewy chocolate candies Maura paid $1.28
Let us find cost of each watermelon candie
$3.48 divided by 12
3.48/12=29 cents
$1.28 divided by 8
1.28/8=16 cents
Subtract 16 from 29 and get 13
29-16=13
Hence 13 cents more do the watermelon candies cost per ounce than the chocolate candies
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in the adjoining figure cross out dissimilar one and represent the set formed by following method
Answer:
cross out 4
Step-by-step explanation:
explanation
Derek borrows $30,924.00 to buy a car. He will make monthly payments for 6 years. The car loan has an interest rate of 5.89%. After a 11.00 months Derek decides to pay off his car loan. How much must he give the bank?
Derek must give the bank approximately $26,695.78 to pay off his car loan after 11 months. To calculate how much Derek must give the bank to pay off his car loan after 11 months, we need to consider the principal amount borrowed, the interest rate, the loan term, and the number of payments made.
Derek borrows $30,924.00 to buy a car, and he will make monthly payments for 6 years. The interest rate is 5.89%.
First, we need to calculate the monthly interest rate. We divide the annual interest rate by 12 (number of months in a year) and convert it to a decimal:
Monthly interest rate = 5.89% / 12 = 0.4908%
Next, we calculate the number of payments made up to the point when Derek decides to pay off the loan. In this case, he makes payments for 11 months.
Now, let's calculate the remaining balance on the car loan using the formula for the remaining balance on an amortizing loan:
Remaining balance = Principal * [(1 + r)^n - (1 + r)^p] / [(1 + r)^n - 1]
Where:
Principal = $30,924.00 (initial loan amount)
r = Monthly interest rate (0.004908)
n = Total number of payments (6 years * 12 months per year = 72 payments)
p = Payments made (11 payments already)
Substituting the values into the formula, we have:
Remaining balance = $30,924.00 * [(1 + 0.004908)^72 - (1 + 0.004908)^11] / [(1 + 0.004908)^72 - 1]
Using a calculator, we can evaluate this expression:
Remaining balance ≈ $30,924.00 * [1.4042 - 1.0552] / [1.4042 - 1] ≈ $30,924.00 * 0.3490 / 0.4042 ≈ $26,695.78
Therefore, Derek must give the bank approximately $26,695.78 to pay off his car loan after 11 months.
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Does support for new national parks (For or Against) differ by region in the country (West, Midwest, South, Northeast)?Choose the correct inference procedure to answer this question.
To answer this question, a chi-square test of independence can be used to determine if there is a significant association between region of the country and support for new national parks (for or against).
The null hypothesis would be that there is no association between the two variables, and the alternative hypothesis would be that there is an association.
To analyze whether support for new national parks differs by region in the country (West, Midwest, South, Northeast), you would use an Analysis of Variance (ANOVA) test. The ANOVA test allows you to compare the means of multiple groups (in this case, the regions) to determine if there is a significant difference in support for new national parks among them.
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/_AGB and /_EGD are angles
The angle ∠AGB and ∠EGD are equal angles / opposite angles / vertical angles.
Given,
∠AGB and ∠EGD
We need to find what types of angles are ∠AGB and ∠EGD.
What are vertical angles?Vertical angles are angles that are opposite of each other when two lines cross.
Vertical angles are always equal.
We have,
∠AGB and ∠EGD are vertical angles
∠AGB = 30 = ∠EGD
∠CGD and ∠AGF are vertical angles.
∠CGD = 50 = ∠AGF
∠BGC and ∠FGE are vertical angles.
∠BGC = ∠FGE = 2x
We know that,
A straight angle is 180.
∠FGC =180
∠FGC = ∠AGF + ∠AGB + ∠BGC
180 = 50 + 30 + ∠BGC
180 - 50 - 30 = ∠BGC
180 - 80 = ∠BGC
∠BGC = 100
∠FGE = 100
We also see that,
∠FGC = ∠FGE + ∠EGD + ∠CGD
180 = 100 + ∠EGD + 50
180 - 150 = ∠EGD
∠EGD = 30
We see that,
∠EGD = 30°
∠AGB = 30°
Thus, the angle ∠AGB and ∠EGD are equal angles / opposite angles / vertical angles.
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HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Japanese multinational firms tend to use Japanese expatriate managers more than individuals who are from another country where a facility is located. These firms tend to follow the ________ approach to staffing.
Japanese multinational firms typically rely on Japanese expatriate managers rather than hiring individuals from the host country where their facility is located. This staffing approach is known as the "ethnocentric" approach.
The ethnocentric approach to staffing involves placing a high emphasis on the home country's managers when staffing international subsidiaries or branches. In the case of Japanese multinational firms, they tend to favor Japanese expatriate managers who are sent from the headquarters to oversee operations in foreign locations. This approach is influenced by several factors, including cultural preferences, language barriers, and the desire to maintain a strong control and communication channel between the headquarters and subsidiary.
Japanese firms often believe that Japanese expatriate managers possess the necessary knowledge, skills, and understanding of the company's culture and practices to effectively manage operations abroad.
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Triangle PQR has coordinates P(4, 5), Q(6, 3), and R(5,1). The triangle is rotated 360° around the origin
What are the coordinates of Q'?
Q'
Nancy drives for 4 hours....how many minutes are in 4 hours.
There are 240 minutes in 4 hours.
Answer:
240 minutes
Step-by-step explanation:
Let's solve your problem. How many minutes are in a hour?
1 hour = 60 minutes
To find the amount of minutes in 4 hours, multiply both sides by 4
4 hours = 60 x 4 = 240 minutes
4 hours = 240 minutes
Hope this helps :)
Have a nice day!
From the following items, which is closest in size to one mole of gas at STP?
A) A car
B) An elephant
C) A microwave
D) A marble
The item which is closest in size to one mole of gas at STP is C) A microwave
What is a mole?A mole is the quantity of matter contained in a body.
How to find which is closest in size to one mole of gas at STP?We know that at STP the volume of gas occupied by one mole of a gas at STP is 22.4 dm³.
Now, we have 4 items.
A car, An elephant, A microwave and a marbleLet us assume that each item is a cube. Also, since 22.4 dm³ is the volume of the cube, its length is
L = ∛22.4 dm³
= ∛(22.4 × 10³) cm³
= 28.2 cm
So, ithe item that is comparable to this length is the microwave.
So, the item is C. A microwave
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Which property justifies "Step 4"
Which property justifies "Step 4" in the proof below?
a. )45= m_B
b.) m B = 45
3) Substitution
4)?
The property justified by step 4 is after substitution in the equation you get the desired result.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the data in the question,
In step 3 substitution of value is taking place.
In step 4 when values are substituted the final result is obtained, so step 4 is the result step.
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ANSWER THESE PLEASE !!!!!!!!!
The following properties represents the eight propositions concerning equalities and congruence:
F: Reflexive property of equality A: Addition property of equality E: Substitution property I: Definition of congruence H: Transitive property of congruence J: Definition of midpoint K: Segment addition postulate B: Subtraction property of equalityWhat properties does represent expressions from real algebra and Euclidean geometry?
In this problem we find eight propositions with definitions concerning algebraic equations (equalities) and geometric definitions (congruence), whose properties must be defined:
Case 1
QR = QR. (F: Reflexive property of equality)
Case 2
If AB = CD, then AB + EF = CD + EF. (A: Addition property of equality)
Case 3
If RS + TU = XY and TU = WV, then RS + WV = XY. (E: Substitution property)
Case 4
JK = LM, then \(\overline{JK} \cong \overline {LM}\). (I: Definition of congruence)
Case 5
If \(\overline{AB} \cong \overline {BC}\) and \(\overline {BC} \cong \overline {CE}\), then \(\overline {AB}\cong \overline{CE}\). (H: Transitive property of congruence)
Case 6
If 2 · XY = YZ, then XY = (1 / 2) · YZ. (J: Definition of midpoint)
Case 7
If Q is between P and R, then PQ + QR = PR. (K: Segment addition postulate)
Case 8
If 2 · KL = KL + MN, then KL = MN. (B: Subtraction property of equality)
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Which of the following is equivalent to (5•10^3) + (4•10^6)
A: 4.005 x 10^6
B: 9 x 10^6
C: 4.005 x 10^9
D: 9 x 10^9
Answer:
A) 4.005*10^6
Step-by-step explanation:
а) 5хх
b) 6xxxy
c) 2 xxx3 ху
Answer:
a) 5x
b) 6xy
c) 6xy
hope this answer helps you....
f(x) = – 2x2 - 4x – 18 Find f(-6)
Answer:
(0,-18)
Step-by-step explanation:
Answer:
Step-by-step explanation:
This is for college Algebra please help me
Step-by-step explanation:
h o g = 6 ( x^2 + x - 2) + 1
= 6x^2 + 6x -12 + 1
= 6x^2 + 6x -11 put in -7 for 'x'
6 (-7^2) + 6 (-7) - 11
= 241
* * * edited * * *
David's bowling score is 6 less than 3 times Aaron's score. The sum of their scores is 214. Find the score of each student. Use the variable a for Aaron's score.
plz help
Step-by-step explanation:
Let aron's variable be = a
Let davids variable be( 6 less tan 3 times aron) = 3×a-6
Thier sum is =214
So,
3×a-6 + a = 214
3a -6 +a = 214
(transpose)
3a + a = 214 + 6
4a = 220
a = 220/4
a= 55
Thus,aron's score is = 55
And davids score is (3×a-6) = 3×55-6 = 159
Checking,
Aron score + david score = 214
55 + 159 = 214
SO, ITS CORRECT
HOPE IT HELPS :)
WILL MARK AS BRAINIEST
Select the correct answer. Which factor is important to consider when building a savings fund for planned, long-term needs? A. the interest rate on a long-term loan B. using investments to grow your savings C. having immediate access to cash D. the cost of credit E. securing a line of credit from a bank
Answer:
I'm certain it's B.
Step-by-step explanation:
b. using investments to grow your savings.
Factor completely. x2 - 400 (x + 20) (x - 20) 0 (x + 4)(x + 100) 0 (x + 25)(x - 16) (x - 50) (x +8) plz
\(\\ \sf\ast\Rrightarrow x^2-400\)
\(\\ \sf\ast\Rrightarrow (x)^2-(20)^2\)
a^2-b^2=(a+b)(a-b)\(\\ \sf\ast\Rrightarrow (x+20)(x-20)\)
Step-by-step explanation:
x²-400(x)²-(20)²By the formula, [a²-b²=(a+b)(a-b)]
(x+20)(x-20)Hence, first option is correct
Select all expressions that equal 6 x 10°
□ (3 x 10¹0) (2 x 10-²)
60 x 107
608
☐ 60,000,000
(1.8x10-12)
(3x10³)
The equivalent value of the exponential equation is A = 6 x 10⁷
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
A = 6 x 10⁷
A = a x 10ᵇ
In this case, the decimal number a is 6, and the integer b is 7
Therefore, the equivalent value of the exponential equation A = 6 x 10⁷ in standard form is A = 6,000,000
On simplifying the exponents , we get
A = 60,000,000
Hence , the exponential equation is A = 6 x 10⁷
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For 23 years, Janet saved $1,150 at the beginning of every month in a fund that earned 3.25% compounded annually. a. What was the balance in the fund at the end of the period? Round to the nearest cent Round to the nearest cent b. What was the amount of interest earned over the period?
The balance in the fund at the end of 23 years, with monthly deposits of $1,150 and a 3.25% annual interest rate, is approximately $449,069.51. The amount of interest earned over the period is approximately $420,630.49.
a. The balance in the fund at the end of the 23-year period, considering a monthly deposit of $1,150 and an annual interest rate of 3.25% compounded annually, is approximately $449,069.51.
To calculate the balance, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where A is the accumulated balance, P is the monthly deposit, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.
In this case, we have monthly deposits, so we need to convert the annual interest rate to a monthly rate:
Monthly interest rate = (1 + 0.0325)^(1/12) - 1 = 0.002683
Using this monthly interest rate, we can calculate the accumulated balance over the 23-year period:
A = 1150 * [(1 + 0.002683)^(12*23) - 1] / 0.002683 = $449,069.51
Therefore, the balance in the fund at the end of the 23-year period is approximately $449,069.51.
b. The amount of interest earned over the 23-year period can be calculated by subtracting the total deposits from the accumulated balance:
Interest earned = (Monthly deposit * Number of months * Number of years) - Accumulated balance
Interest earned = (1150 * 12 * 23) - 449069.51 = $420,630.49
Therefore, the amount of interest earned over the 23-year period is approximately $420,630.49.
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