The compound inequality represents the given inequality is y-3≤1 OR -1≤y-3. Therefore, option A is the correct answer.
The given inequality is |y – 3| − 4 ≤ −3.
What is compound inequality?A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time. It is the overlap or intersection of the solution sets for the individual statements. “Or” indicates that, as long as either statement is true, the entire compound sentence is true. It is the combination or union of the solution sets for the individual statements.
Now, solve inequality |y – 3| − 4 ≤ −3.
Add 4 on both sides of the inequality.
That is, |y – 3| − 4+4 ≤ −3+4
y-3≤1 OR -1≤y-3
The compound inequality represents the given inequality is y-3≤1 OR -1≤y-3. Therefore, option A is the correct answer.
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The Wildcats scored an average of 56 points per game during their four-game season. If the scores for their first three games were 48, 57, and 52, what was the score of their last game?
Answer:
67
Step-by-step explanation:
Use the average formula: average = sum of elements / number of elements
Let x represent the score of their last game, and plug in the average, other scores, and number of elements into the equation:
56 = (48 + 57 + 52 + x) / 4
Simplify:
56 = (157 + x) / 4
Solve for x, by first multiplying each side by 4:
224 = 157 + x
Subtract 157 from both sides:
67 = x
So, the score of their last game was 67.
Using the formula z=Kx/y
If z = 6 when x = 3 and y = 4, then what is z when x = 5 and y = 2?
Answer:
z=kx/y
zy=kx
zy/x=kx/x ( divided both side by x. to find k)
k=zy/x
k=6×4/3(z=6,y=4,x=3)
k=24/3
k=8
so z=kx/y
z=8×5/2(replace the numbers in the place of variables,k=8,x=5,y=2)
z=40/2
z=20
Emma jogs 2 miles along the beach in
1
3
of an hour. If she travels at a constant rate, how far will she jog in an hour?
Answer: 6 miles
Step-by-step explanation: 1/3 hour = 2
1 hour = 6 (2x3=6)
Answer:
6 miles
Step-by-step explanation:
A 2-column table with 3 rows. Column 1 is labeled Days, x with entries 3, 4, 5. Column 2 is labeled Miles, y with entries 771, 973, 1,175.
The Boden family is taking a road trip across the US. After initially driving for awhile, the Bodens decide to make a plan to drive a set number of miles each day. Days 3, 4, and 5 are displayed in the table. Assume the relationship is linear.
Identify how many miles per day the Boden family is planning to travel.
miles per day
Answer:
202 miles per day
Step-by-step explanation:
Answer:
165
Step-by-step explanation:
A 2-column table with 3 rows. Column 1 is labeled Days, x with entries 3, 4, 5. Column 2 is labeled Miles, y with entries 771, 973, 1,175.
The Bodens drove for awhile before they made a plan to drive a set number of miles each day. Days 3, 4, and 5 are displayed in the table. Assume the relationship is linear.
Determine the initial number of miles that the Boden family drove before they made their plan.
771 miles
367 miles
165 miles
135 miles
This is your correct answer 165, oops this is the wrong question sorry
What is the equation of the line?
Answer:
I believe it should be the second answer
Two numbers multiply to -24 and add up to -5
Answer:
-8 and 3
Step-by-step explanation:
The asked numbers are -8 and 3.
What are equations?An equation is a mathematical statement that shows that two mathematical expressions are equal.
For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
Given that, two numbers multiply to -24 and add up to -5
Let the two numbers be x and y
x+y = -5...(i)
xy = -24
x = -24/y...(ii)
Put eq (ii) in eq (i)
-24/y + y = -5
-24 + y² = -5y
y²+5y-24 = 0
Factorizing,
y = 8 and 3
Taking y = 3, put it in eq(ii)
x = -24/3
x = -8
Hence, the asked numbers are -8 and 3.
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Find the equation of the line with slope =10 and passing through (-6,7). Write your equation in point slope form AND slope intercept forms.
Answer:
The equation of the line in the slope-point form is y - 7 = 10(x + 6)
The equation of the line in the slope-intercept form is y = 10x + 67
Step-by-step explanation:
The slope-point form of the linear equation is y - y1 = m(x - x1), where
m is the slope(x1, y1) are the point lies on the lineThe slope-intercept form of the linear equation is y = m x + b, where
m is the slopeb is the y-intercept∵ The slope of the line is 10
∴ m = 10
∵ The line passes through the point (-6, 7)
∴ x1 = -6 and y = 7
→ Substitute them in the slope-point form above
∵ y - 7 = 10(x - -6)
∵ (-)(-) = (+)
∴ y - 7 = 10(x + 6)
∴ The equation of the line in the slope-point form is y - 7 = 10(x + 6)
→ Substitute m in the slope-intercept form
∵ y = 10x + b
→ To find b substitute x by -6 and y by 7 in the equation
∵ 7 = 10(-6) + b
∴ 7 = -60 + b
→ Add 60 to both sides to find b
∴ 67 = b
→ Substitute the value of b in the equation
∴ y = 10x + 67
∴ The equation of the line in the slope-intercept form is y = 10x + 67
If the temperature is -1 degrees and it drops 5 degrees overnight what is the new temperature?
Answer:
-6
Step-by-step explanation:
Which number goes in the box?
8 + 9 = 9 +
Answer:
8
Step-by-step explanation:
I hope this helps you out!
Answer:
8
Step-by-step explanation:
...
Given the formula for volume of a box, V=lwh, which answer would you get if you solve for h?
Answer:
Step-by-step explanation:
h=V/lw
I am so confused, I think that is D, xD
Answer:
it is D.... PERIODT
Step-by-step explanation:
The original quantity is 10 and the new quantity is 13. What is the percent change?
3 is 13 more than 10, and 3 is 30% of 10, so 30% im pretty sure
Answer:
130%
Step-by-step explanation:
It's 130% because 10*130% is 13.
What is the value 6^-8/6^-5?
Answer:
0.00462962962
Step-by-step explanation:
use (x+a)(x+b)=x2+(a+b)x+ab find 101*102
Answer:
[tex]101 * 102 = 10302[/tex]
Step-by-step explanation:
Given
[tex](x + a)(x + b) = x^2 + (a + b)x + ab[/tex]
Required
Find 101 * 102
[tex]101 * 102 =[/tex]
Express as a sum of 100
[tex](100 + 1) * (100 + 2)[/tex]
Compare this to [tex](x + a)(x + b)[/tex]
We have that:
[tex]x = 100[/tex]
[tex]a = 1[/tex]
[tex]b = 2[/tex]
Recall that:
[tex](x + a)(x + b) = x^2 + (a + b)x + ab[/tex]
Substitute 100 for x, 1 for a and 2 for b
[tex](100 + 1) * (100 + 2) = 100^2 + (1 + 2) * 100 + 1 * 2[/tex]
[tex](100 + 1) * (100 + 2) = 100^2 + 3 * 100 + 2[/tex]
[tex](100 + 1) * (100 + 2) = 10000 + 300 + 2[/tex]
[tex](100 + 1) * (100 + 2) = 10302[/tex]
Hence:
[tex]101 * 102 = 10302[/tex]
the compound interest formula a=p(1+r/n)^nt where p is the initial amount invested, r is the interest as a decimal, n is the number of times compound annually, the the number of years. Determine the value of the account if the initial investment is $8,000 compounded monthly at a rate of 6% after 10 years.
Answer:
Option (D)
Step-by-step explanation:
Formula to calculate the final amount after 't' years is,
A = [tex]P(1+\frac{r}{n})^{nt}[/tex]
Here P = Initial amount
r = rate of interest
n = number of times compounding done
t = duration of investment
For A = $8000
r = 0.06
t = 10 years
n = 12 (compounded monthly in a year)
Therefore, final amount = [tex]8000(1+\frac{0.06}{12})^{12\times 10}[/tex]
= [tex]8000(1+0.005)^{120}[/tex]
= [tex]8000(1.005)^{120}[/tex]
= 8000(1.8194)
= $14555.17
Therefore, Option (D) will be the answer.
Answer:
the answer is d
Step-by-step explanation:
$14,555.17
A cardboard box has edges of length 5.5 in, 3.2in,and 7.25 in.what is the volume of the box?I will gave u Brainliest if u tell me the answer have a nice day
Answer:
The answer is 127.6
Step-by-step explanation:
To find the volume of something, you multiply.
So:5.5 times 3.2 times 7.25 is equal to 127.6
HOPE THIS HELPS YOU!!!! :)
Answer:
127.60 square inches
Step-by-step explanation:
Multiply the diameters all together to get your answers.
5.5 x 3.2 x 7.25
Multiply
5.5 x 3.2 = 17.6
Multiply some more
17.6 x 7.25 = 127.6
You can also just multiply like this:
5.5 x 3.2 x 7.25 = 127.6
Hope this helped :)
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Cameron won a laptop in a school raffle. The diagonal of the laptop measures 26 inches. The length is 24 inches. How tall is the computer screen?
plz help me
Graph the inequality below on a number line
[tex]x < - 2[/tex]
4v = 20
Help please
Answer:
v=5
Step-by-step explanation:
you are trying to make 4v into v right ?
so simply divide it by 4 - the same if it was 4a or 7a or 9k, always start by dividing by the number
then you need to balance the two sides - so whatever number you divide the letter by (which is the 4 in this case) , you do the same with the other side , so whatever number is after the equal sign , divide it by 4
PART ONE ↓ 4v = 20
DIVIDE BY 4 → v = 20
PART TWO v = 20 ↓
v = 5 ← DIVIDE BY 4
HELP PLEASE!!!!
Ray created the list of factors for 48 below
43 1,2,3,4,6,7,8, 12, 16, 24,48
Which number should be removed from his list to make the list accurate?
10
Answer:
7
Step-by-step explanation:
7 is not a factor of 48, since 7 can not be multiplied by another whole number to get 48. (48 divided by 7 is 6.8)
Answer:
7
Step-by-step explanation:
Dwayne has a wrench set with the socket sizes of 1, 1/2, 1/4, 1/8, 1/16 what would the next size be?
Notice that the denominator is a multiplied by 2 for each fraction.
1/1•2 = 1/2
1 /2•2 = 1/4
1/4•2 = 1/8
1/8•2 = 1/16
1/16•2 =1/32
The next size is 1/32.
Meteorology A Weather forecaster uses a barometer to measure air pressure and make weather predictions. Suppose a standard mercury barometer reads 29.8 in. The mercury rises 0.02 in. And then false 0.09 in . The mercury falls again 0.18 in. Before rising 0.07 in. What does the word "rise" suggest? What does the word "fall" suggest?
Answer:
rise : atmospheric pressure increases
fall : atmospheric pressure decreases
Step-by-step explanation:
In the context, it is given that a weather forecaster takes the help of the barometer to check the air pressure and predicts the weather. The column of mercury level in the barometer shows a rise or fall in the glass tube as the weight of the atmosphere falling on the mercury surface changes.
Here it is given that the mercury rises for 0.02 in, then it falls 0.09 in, it then rises by 0.07 in and then again falls by 0.18 in. The word "rise" here shows that the weight of the atmosphere is more. In other words, increase in atmospheric pressure increases the level of mercury in the glass tube and the decrease in or "fall" in the mercury level shows the drop in atmospheric pressure.
Please help me with this
Answer:
ghAnnabelle was right, she gave the dog more than enough
Step-by-step explanation:
A morning truck can carry no more than 1480 pounds of cargo. Brian loaded 640 pounds into the truck already. He is loading boxes that weigh 70 pounds. How many boxes can he out into the truck
Given :
A morning truck can carry no more than 1480 pounds of cargo.
Brian loaded 640 pounds into the truck already.
He is loading boxes that weigh 70 pounds.
To Find :
How many boxes can he out into the truck.
Solution :
Weight left for carrying cargo, W = 4180 - 640 pounds
W = 3540 pounds
Number of boxes of 70 pounds cargo he can carry in truck is :
[tex]n =\dfrac{3540}{70}\\\\n = 50.57[/tex] ≈ 50 .
Therefore, number of box they can carry is 50.
Hence, this is the required solution.
What would this be ?
Answer:
-8,1 mabey I don't really know
The jacket I want cost $85, but I have a coupon for 15% off. How much would I pay for the jacket with my coupon?
Answer:
42.5
Step-by-step explanation:
x 15
_ _
85 100
15x85=1275
1275/100=127.5
127.5-85=42.5
9x-7= -7
solve for x
Answer:
-2
Step-by-step explanation:
find the value of x
7. Find DE.
11-25
E
А
4x + 1
D
С
Answer:
DE = 37Step-by-step explanation:
AD = DC and BE=EC ⇒
DE = 1/2AB
4x + 1 = 1/2(11x - 25)2(4x + 1) = 11x - 258x + 2 = 11x - 2511x - 8x = 2 + 253x = 27x = 27/3x = 9DE = 4*9 + 1 = 36 + 1 = 37
AD = DC
BE = EC
It gives that 2(DE) = AB
To Find:The length of DE.
Explanation:According to the question,
2(DE) = AB
By putting the respected values, we get
2( 4x + 1 ) = 11x - 25
or, 8x + 2 = 11x - 25
or, 25 + 2 = 11x - 8x ( transposition method )
or, 27 = 3x
or, x = 27/3 = 9
The value of x is 9.
DE = 4(9) + 1 = 36 + 1 = 37
Answer:DE = 37
please solve this for be before 7pm EDT
Answer for #5:
7 friends
Step-by-step explanation:
convert fraction into 4ths:
1/4, 2/4, 3/4, 1/4
add together:
7/4ths
if each friend ate 1/4 of the pizzas, then there are 7 friends