The value of x in expression 4.6x < -15.64 will be equal to x < -3.4.
An expression 4.6x < -15.64 is given in the question.
We have to find that what will be the value of x.
What do you mean by inequalities ?
Inequalities are the expressions in which both sides are not equal and the equal sign in between is replaced by less than , greater than, etc.
As per the question ;
The given expression is ;
4.6x < -15.64
Let's solve it to get the value of x.
⇒ 4.6 x < -15.64
⇒ x < -15.64 / 4.6
⇒ x < -3.4
Thus , the value of x in expression 4.6x < -15.64 will be equal to x < -3.4.
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What is 156.16 divided by 8
Which graph represents the solution set of the system of inequalities?
{3y≤2x+62x+y>0
we have
[tex]3y\leq 2x+6[/tex] ---> inequality A
[tex]2x+y > 0[/tex] ---> inequality B
using a graphing tool
see the attached figure
The solution is the shaded area
the answer in the attached figure
Danielle has a CD at crossland bank. she invest $22,350 for four years at 4.55% interest. compounded monthly. What is her ending balance? How much interest did she make?
Answer: Her ending balance is $26,703.837 and her interest is $4,353.837
Step-by-step explanation:
First year,
p =22350 R = 4.55 T = 1
Interest = PRT/100
= 22350 × 4.55 × 1 / 100
=$1016.925
P = $22350 + $1016.925 = $23366.925
For the 2nd year,
I = $23366.925 × 4.55 × 1 / 100
=$1063.195
p= $23366.925 + $1063.195 = $24,430.12
For the 3rd year,
I = $24,430.12 × 4.55 × 1 / 100
= $1111.57
p = $24,430.12 + $1111.57 = $25,541.68
For the 4th year;
I = $25541.68 × 4.55 × 1 / 100
= $1,162.147
P = $ 25541.69 + $1,162.147 = $26,703.837
Therefore th ending balance is $26,703.837
Her compound interest is , $26,703.837 - $22350 =$4,353.837
Rita ran 5 miles in 48 minutes .What was her time per mile?
8) It costs a band $8 per T-shirt produced. At a small festival the band gives away 10 T-shirts, and sells others for $20 each. Their total T-shirt-related profits (taking into account those they gave away) is $304, how many T-shirts did the band sell?
$6,285÷y=700 y is about
help me divide y over x??
math question down below
Two events, X and Y, are independent of each other. P(Y) = 5/6 and P(X and Y) =1/3 . What is P(X) written as a decimal?
what is the momentum of a 20-kg dog running at a speed of 8 m/s
The momentum of a 20-kg dog running at a speed of 8 m/s is 160 kg.m/s. This is calculated using the formula for momentum, which is the product of mass and velocity.
Explanation:To calculate the momentum of an object, you need to multiply its mass by its velocity. This is due to the fact that momentum is directly proportional to the object's mass and its velocity. Hence, a 20-kg dog running at a speed of 8 m/s would have a momentum of 160 kg.m/s.
Momentum (p) is represented as the product of mass (m) and velocity (v), hence expressed as p = m*v. Momentum is a vector quantity, which means it has both magnitude (amount) and direction. In this case, we're only concerned with its magnitude.
So, for the 20-kg dog running at 8 m/s, we substitute these values into the momentum formula to find its momentum:
p = m*vp = 20kg * 8 m/sp = 160 kg.m/sLearn more about Momentum here:https://brainly.com/question/30677308
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a group of 4 people go out to eat. they decide to split the bill so each person pays 1/4 of the total price. appetizers are $6 and main dishes are $9. write an expression to show how many each person pays.
what is the solotion to the equation 1/3(3+2x) -1=10
Is 4.25 a rational number integer or whole number??
4.25 is a rational number
A rational number is a number that can be expressed as a fraction of two integers
Examples of rational numbers are , [tex]\frac{1}{4} \frac{2}{3}[/tex]
4.25 can be rewritten as [tex]4\frac{1}{4}[/tex]
An integer is a number without fractions or decimals
For example, integers are 2, - 1000
A whole number is a number that is a positive integer. It does not include negative numbers, fractions or decimals.
Examples are 1, 2, 10
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Someone please help me find this
What can 16 over 49 be simplified to?
There is a special at the store: $34 for 7 roses. Harry is trying to figure out if it's a good deal. Help Harry figure out the unit price (round to 2 decimal places)
In a recent year, the population of California was about 2.52 x 10^7 people. Its land area is about 4.05 x 10^5 km^2. What was the average number of people per square kilometer? Write your answer in scientific notation.
PLEASE I NEED HELP ASAP!!!!!!!!!!!!
The average number of people per square kilometer in California is [tex]6.22 \times 10^1.[/tex]
To find the average number of people per square kilometer in California, we divide the total population by the land area.
Given:
Population of California = [tex]2.52 \times 10^7[/tex] people
Land area of California = [tex]4.05 \times 10^5 km^2[/tex]
Calculate the population density.
Population density = Population / Land area
Population density = [tex](2.52 \times 10^7) / (4.05 \times 10^5) people/km^2[/tex]
Divide the numbers and simplify.
Population density = (2.52 / 4.05) x 10^(7-5) people/km^2
Population density = [tex]0.622 \times 10^2 people/km^2[/tex]
Rewrite in scientific notation.
Population density = [tex]6.22 \times 10^1 people/km^2[/tex]
So, the average number of people per square kilometer in California is [tex]6.22 \times 10^1[/tex].
The table shows the distances and times that four rowboats traveled. Which rowboat was the fastest?
Answer:
Rowboat C traveled the fastest.
Step-by-step explanation:
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tyler can shovel the driveway in 2 hours. dakota can complete the job in 90 minutes. if they work together, how long will it take
I need help on 4, 5, and 6
What is 763 thousandths in scientific notation?
A spinner is separated into 3 equal pieces, as shown below: A spinner is shown with three colors, red, yellow, and purple, marked on it. The arrow points towards the red color. Mary spins the spinner 6 times. What is the theoretical probability that it stops on the red sector on the last spin?
The theoretical probability that it stops on the red sector on the last spin is 1 by 3.
Calculation of the theoretical probability:Since A spinner is separated into 3 equal pieces. A spinner is shown with three colors, red, yellow, and purple, marked on it. Mary spins the spinner 6 times.
So, the theoretical probability is
Probability= Successful outcome ÷ Possible outcome
= 1÷3
Therefore, The theoretical probability that it stops on the red sector on the last spin is 1 by 3.
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If a player always gets three cards, describe two different ways to recieve a score of 7.
Answer:
1 + 3 + 3 = 7
5 + 1 + 1 = 7
Step-by-step explanation:
If a player have the three cards. Each card will have a number and we have to find the numbers on each card that total 7.
Let card 1 gets 1
Then other two cards may have 3 and 3
So, 1 + 3 + 3 = 7
Now we take another combination which totals 7
5 + 1 + 1 = 7
Therefore, there may be two different ways are
1 + 3 + 3 = 7
5 + 1 + 1 = 7
GIVEN: ab perpendicular to BC AND DC PERPENDICULAR TO BC
AC = BD
PROVE:AB =DC
Proofs
Answer with Step-by-step explanation:
We are given that AB is perpendicular to BC and DC perpendicular to BC.
AC=BD
We have to prove that AB=DC
In triangle ABC and triangle DCB
AC=BD (Given)
[tex]\angle B=\angle C=90^{\circ}[/tex]
[tex]BC=BC[/tex]
Reason:Reflexive property
[tex]\triangle ABC\cong \triangle DCB[/tex]
Reason:RHL postulate
[tex]AB\cong DC[/tex]
Reason:CPCT
Therefore, AB=DC when two sides are congruent then the sides are equal.
Hence, proved.
8439 divided by 245 with remainder
Answer:
The remainder of 8439 divided by 245 is 109.
Step-by-step explanation:
Given two numbers as 8439 and we have to divide it by 245.
That is , Dividend = 8439
Divisor = 245
Solution:
Using division algorithm,
Dividend = ( Divisor * Quotient )+Remainder
8439 = (245*34)+Remainder
8439 =8330+Remainder
Taking 8330 to other side to find the remainder, we have
8439 -8330 = Remainder
109 = Remainder
Thus The remainder of 8439÷245 is 109.
During Tracy’s trip across the country , she traveled 2884 miles . Her trip took
Which expression is equivalent to −2.6+(−2.9)+(−7.1) ?
Answer:
-12.6
Step-by-step explanation:
To evaluate the given expression
-2.6+(−2.9)+(−7.1, first we will open out the brackets and multiply the signs. Before that, we must take note of the following sign operations
-×- = +
-×+ = -
+×- = -
+×+ = +
The equation above becomes;
-2.6-2.9-7.1 (all the signs are now minus since the product of plus and minus sign gives a minus sign)
(-2.6-2.9)-7.1
= -5.5-7.1
= -12.6
Since all the values in the equation are negative values, our resulting answer will be a negative value.
Which statement is true?
A)
0.4 is less than 0.07 because 4 is less than 7.
Eliminate
B)
0.4 is less than 0.07 because 40 is less than 70.
C)
0.4 is greater than 0.07 because 70 is greater than 40.
D)
0.4 is greater than 0.07 because 40 is greater than 7.
expand and simpilify
(3x-2)^2-(x+6)(x-8)
Your office manager has given you a budget of $30,000 to replace the old computers in your office with new ones. Each new computer will cost $550. You make a quick count and determine that 15 computers will need to be replaced. How much money will be left (per week) for the next six weeks?
1) 550 x 15 = 8250 (First you want to get the total cost of the computers)
2) 30,000 - 8250 = 21,750 (Then you want to subtract that by 30,000 to see how much money is left over)
3) 21,750/6 = 3625 (Then divide by 6 ,by the weeks, and get your answer)
Answer: $3625