Answer: 29317
Step-by-step explanation:
7(1 - 2n) < 33 - n
solve the inequality
show work
Answer:
n > -2
Step-by-step explanation:
7(1 - 2n) < 33 - n
7 - 14n < 33 - n
Subtract 7
-14n < 26 - n
Add n
-13n < 26
Divide by -13
n > -2
Answer:
n > -2
Step-by-step explanation:
Distribution property:
7 - 14n < 33 - n
Bring n over:
7 - 13n < 33
Bring 7 over:
-13n < 26
n > -2
Can you answer this?
1. 3x + y = 4
I need help I need to solve for y
Answer:
[tex]y=4-3x[/tex]
Step-by-step explanation:
[tex]3x+y=4[/tex]
Subtract 3x from both sides:
[tex]3x+y-3x=4-3x[/tex]
[tex]y=4-3x[/tex]
Answer:
its answer is
y=4-3x ok
An art studio holds beginners art classes. Each class costs $24 and there is also a one-time registration fee of $15 . You attended c number of classes and paid a total of $687. Find the number of classes you took.
The total number of classes that were taken by you was 28.
What is linear equation in one variable?The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.
According to the given question.
Registration fee for the dance class = $15
Amount of money charges for each dance class = $24
Amount of money paid for c number of classes = $687
⇒ [tex]687 = 24c + 15[/tex]
Solve the above linear equation in one variable for c.
[tex]687 = 24c + 15[/tex]
⇒ [tex]687 - 15 = 24c[/tex]
⇒ [tex]672 = 24c[/tex]
⇒ [tex]c = \frac{672}{24}[/tex]
⇒ [tex]c = 28[/tex]
Hence, the number of classes is 28.
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Eliza's backpack weighs 18 and StartFraction 7 over 9 EndFraction pounds with her math book in it. Without her math book, her backpack weighs 14 and StartFraction 7 over 8 EndFraction pounds. How much does Eliza's math book weigh?
its B sorry if Im wrong have a nice day
Before a movie began, a theater had people waiting in the seats. During each of 4 movie trailers, 7 more people came into the theater. When the movie started 82 people were in the theater. Assume the relationship is linear. Determine and interpret the rate of change and the initial value.
can someone help me ASAP!!!!
Answer:
well assuming that it's linear the
Step-by-step explanation would be: something but you don't want that you want the answer assuming that 7 people came in every 4 trailers the slope or rate of change would be 7/4 and the initial value would be 5.
Peter leaves Mitchell's house traveling 30 mph. Mitchell leaves 15 min later, trying to catch up to peter, going 40 mph, if they drive along the same route how long will it take Mitchell to catch Peter?
Given :
Peter velocity , P = 30 mph .
Mitchell velocity , M = 40 mph .
Mitchell leaves 15 min later .
To Find :
If they drive along the same route how long will it take Mitchell to catch Peter.
Solution :
Distance covered by Peter in 15 min .
[tex]D = 30\times \dfrac{15}{60}=7.5\ miles[/tex]
Let , time taken is x .
So , distance covered b them is equal :
[tex]7.5+30\times x=40\times x\\\\x=\dfrac{7.5}{10}=0.75\ hours\\\\x=0.75\times 60\ min\\\\x=45\ min[/tex]
Therefore , time taken by them is 45 minutes .
Hence , this is the required solution .
1.6.AP-9
A family is comparing different car seats. One car seat is designed for a child up to and including 25 lb. Another car seat is designed for a child between 16 lb and 35
Ib. A third car seat is designed for a child between 25 lb and 95 lb, inclusive. Model those ranges with compound inequalities. Which car seats are appropriate for a
33-lb child?
The inequality for a child up to and including 25 lb is
(Simplify your answer. Type a compound inequality using x as the variable.)
Answer:
a. i. x ≤ 25 ii. 16 < x < 35 iii. 25 < x ≤ 95
b. The second and third car seats are appropriate for a 35 lb child.
Step-by-step explanation:
a. Model those ranges with compound inequalities
Let x represent the car seat.
i. A car seat designed for a child weighing up to and including 25 lb is described by the inequality.
x ≤ 25
ii. A car seat designed for a child weighing between 16 lb and 35 lb is described by the inequality.
16 < x < 35
iii. A car seat designed for a child weighing between 25 lb and 95 lb inclusive is described by the inequality.
25 < x ≤ 95
b. Which car seats are appropriate for a 33-lb child?
Since 35 lb is included in the range of the inequalities for the second and third card seats, the second and third car seats are appropriate for a 35 lb child.
What is the distance between-5 and 8?
Answer:
13
Step-by-step explanation:
-5+5=0
0+8=8
5+8=13
Answer: 13
Step-by-step explanation:
if it is 9:36 pm what time would it be a hour and a half later
Answer:
an hour would make it 10, then another 30 minutes added to the 30 would make it 11, so 11:06 pm
Step-by-step explanation:
Lisa is decorating the outside edge of a square picture frame. She needs to know the side length of the frame. The area of the frame is mm square inches. Which shows the side length, in inches, of the picture frame?
Answer:
Step-by-step explanation:
If you have the area just divide it by 4 and that will give you the answer .
A square has all equal sides
What is the standard form polynomial representing the volume of this shipping container?
6x + 15
4x² + 3x
x² – 8
Answer:
Step-by-step explanation:
Volume of the shipping container = Lengt * Breadth * Height
Given
Length = 4x² + 3x
Breadth = x² – 8
Height = 6x +15
Volume of the container = ( 4x² + 3x)( x² - 8)(6x+15)
( 4x² + 3x)( x² - 8) = 4x⁴-32x²+3x³-24x
( 4x² + 3x)( x² - 8) = 4x⁴+3x³-32x²-24x
(4x⁴+3x³-32x²-24x)(6x+15) = 24x⁵+60x⁴+18x⁴+45x³-192x³-480x²-144x²-360x
Collect like terms
( 4x² + 3x)( x² - 8)(6x+15) = 24x⁵+78x⁴-147x³-624x²-360x
Hence the standard form polynomial representing the volume of this shipping container is expressed as V = 24x⁵+78x⁴-147x³-624x²-360x
Answer:
V = 24x^5+78x^4-147x^3-624x^2-360x
Seth found two new ways to get to school. Which route is faster for Seth, when school is 17 miles away?
A graph titled Bus Stop 1 has time (minutes) on the x-axis and Distance (miles) on the y-axis. A line goes through (0, 5), (6, 8) and (12, 11).
A 2-column table with 3 rows titled Friend's House. Column 1 is labeled Time (minutes) with entries 3, 6, 9. Column 2 is labeled Distance (miles) with entries 4, 6, 8.
Bike from work: His dad's work is 5 miles from school and Seth bikes at 0.2 miles per minute.
Relative's house: y = 1.2 x minus 4.
Answer:
DStep-by-step explanation:
Solve -5< 4x +3 < 7.
The second “<“ has a line under it. Please help! This is on APEX.
Answer:
C -2 < x ≤ 1
Step-by-step explanation:
-5< 4x +3 ≤ 7
Subtract 3 from all sides
-5-3< 4x +3-3 ≤ 7-3
-8< 4x ≤ 4
Divide all sides by 4
-8/4< 4x/4 ≤ 4/4
-2 < x ≤ 1
Matt is four years younger than twice his cousin Andy’s age. The sum of their ages is greater than 35. What is the youngest age that Andy can be?
Answer: 13
Step-by-step explanation:
let m = Matt's age
let a = Andy's
:
Write an equation for each statement
:
Matt is four years younger than twice his cousin Andy’s age.
m = 2a - 4
The sum of their ages is greater than 35.
m + a > 35
What is the youngest age that Andy can be?
replace m with (2a-4) from the 1st statement
2a - 4 + a > 35
3a > 35 + 4
a > 39/3
a > 13
least integer has to be a = 14
:
:
Check, find m
m = 2(14) - 4
m = 24
24 + 14 = 38 greater than 35
If a = 13
m = 2(13) - 4
m = 22
22 + 13 = 35 which is not greater than 35
is it greater than or less than 4.29__4.3
Step-by-step explanation:
Think of 4.29 and 4.3 as 429 and 430.
Now which is greater, 429 or 430?
430, right? Then we convert them back to decimals.
4.29<4.3
Hope it helps!
Of the 50 states in the United States, 14 have an Atlantic Ocean coastline and 5 have a Pacific Ocean coastline. What fraction of U.S. states have neither an Atlantic Ocean nor Pacific Ocean coastline?
Answer:
[tex]\frac{31}{50}[/tex]
Step-by-step explanation:
First, find how many have an Atlantic or Pacific coastline:
14 + 5
= 19
Then, subtract this from 50:
50 - 19
= 31
This means 31 out of the 50 states have neither coastlines:
This is [tex]\frac{31}{50}[/tex] as a fraction
the ratio of men to women is 3:4 and the ratio of women to children is 5:2. write the ratio of men to women to children
Answer:
15:20:8
Step-by-step explanation:
You have to find a common factor between 4 and 5 because there are 3 men to 4 women and 5 women for 2 children, those numbers don't directly correlate. The easiest waay would be to multiply 4 and 5.
4 x 5 = 20
So we can correct the first ratio.
3 X 5 = 15
So the ratio of men to women is 15:20.
Now we find the ratio of women to children.
4 x 5 = 20
4 x 2 = 8
The ratio of women to children is 20:8.
Now that we have the same number in each ratio for women, we can combine them.
The ratio of men to women to children is:
15:20:8
Which could be used to evaluate the expression Negative 6 (4 and two-thirds)? (Negative 6) (4) + (negative 6) (two-thirds) (Negative 6) (4) times (negative 6) (two-thirds) (Negative 6 + 4) + (Negative 6 + two-thirds) (Negative 6 + 4) times (negative 6 + two-thirds)
Answer:
(Negative 6) (4) + (negative 6) (two-thirds
A cupcake shop earns $950 a day. The total amount of earning varies directly with the number of
days. Find the total earnings the cupcake shop earns in 5 days.
the answer is $4750.
find the length and breadth of a rectangular plot whose area is 660square metre and perimeter is 104metre
Answer:
Step-by-step explanation:
let length=l
breadth=b
l×b=660
2(l+b)=104
l+b=104/2=52
b=52-l
l×(52-l)=660
52l-l²=660
l²-52l+660=0
l²-22l-30l+660=0
l(l-22)-30(l-22)=0
(l-22)(l-30)=0
l=22,30
when l=22,b=52-22=30
when l=30,b=52-30=22
l>b
so l=30m
b=22m
Answer:
W = 22 m
L = 30 m
Step-by-step explanation:
given:
area is 660square metre and perimeter is 104metre
find:
the length and breadth of a rectangular plot
----------------------------------------------------------------
1. area of rectangle (A) = L x W
2. Perimeter of a rectangle (P) = 2L + 2W
where:
A = 660 m²
P = 104 m
solve for L using formula 1.
A = L x W
660 = L x W
L = 660 / W
solve W using formula 2 and use L = 660 / W
P = 2L + 2W
104 = 2 (660) + 2W
W
104W = 1320 + 2 W²
-2W² + 104W = 1320
solve W using quadratic equation:
W = 22 m; ( 30 m = L)
plugin W=22 into L = 660 / W to solve L:
L = 660 / 22
L = 30 m
if the measure of an angle is 44 degrees , then the angle is acute which is true the converse the inverse the contrapositive none of these
HELP PLEASE!!!!!!!!!!!
What are the values of a and b on the number line?
Answer:
B is the answer
Step-by-step explanation:
An object is moving at a speed of 9 centimeters every 5.5 minutes. Express this speed in miles per day. Round your answer to the nearest hundredth.
An object is moving at 9 centimeters every 5.5 minutes have a speed of 0.01 mile per day.
Speed is the ratio of distance travelled to time taken. Speed is given by:
Speed = distance/time
Given that the 9 cm is covered every 5.5 minutes, hence:
1 mile = 160934 cm;
9 cm = 9 * 1/160934 = 9/160934 mile
1 day = 1440 minutes
5.5 minute = 5.5 * 1/1440 = 5.5/1440 day
Hence:
Speed = distance/time
Speed = (9/160934 mile)/(5.5/1440 day)
Speed = 0.01 mile per day
An object is moving at 9 centimeters every 5.5 minutes have a speed of 0.01 mile per day.
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0.5s +1=7 + 4.5s
S =
Answer:
[tex]s = -\frac{3}{2}[/tex]
Step-by-step explanation:
Solve for the value of [tex]s[/tex] :
[tex]0.5s + 1 = 7 + 4.5s[/tex]
-Combine both [tex]0.5s[/tex] and [tex]4.5s[/tex] by subtracting [tex]0.5s[/tex] by [tex]4.5s[/tex] :
[tex]0.5s + 1 - 4.5s = 7 + 4.5s - 4.5s[/tex]
[tex]-4s + 1 = 7[/tex]
-Subtract [tex]1[/tex] to both sides:
[tex]-4s + 1 - 1 = 7 - 1[/tex]
[tex]-4s = 6[/tex]
-Divide both sides by [tex]-4[/tex] :
[tex]\frac{-4s}{-4} = \frac{6}{-4}[/tex]
[tex]s = -\frac{3}{2}[/tex]
So, the value of [tex]s[/tex] is [tex]-\frac{3}{2}[/tex].
A rectangular rug has
perimeter 240 inches. The length is 12 inches more than twice the width. Find the length and width
of the rug.
Answer:
length= 84
width= 36
Aaron wants to make as many gluten-free, low-carb cupcakes as he can for a bake sale. His recipe for 12 such cupcakes requires ⅜ of a cup of cocoa. Assuming Aaron has enough of the remaining ingredients, which of the following is closest to the number of cupcakes that he could make if he has 2 cups of cocoa? A)10 B)30 C)60 D)100
Answer:
I believe it is C
Step-by-step explanation:
First, I decided to use the proportion method. (Before I use this method, let's change [tex]\frac{3}{8}[/tex] into a decimal. So, that will be 0.375.
We know that we can cross multiply in a proportion
[tex]\frac{0.375 cups}{12 cupcakes} = \frac{2cups}{x}[/tex]
0.375x = 24
x = 64
round to tens
60
The number of cupcakes that he could make if he has 2 cups of cocoa is C) 60.
What is proportion?A proportion is an equation in which two ratios are set equal to each other.
Now, it is given that,
12 such cupcakes requires ⅜ of a cup of cocoa
So ratio, cup of cocoa : cupcakes = ⅜ : 12
⇒ cup of cocoa / cupcakes = ⅜ / 12
Now, let x be the number of cupcakes that he could make if he has 2 cups of cocoa
So ratio,cups of cocoa : number of cupcakes = 2 : x
Hence,By proportionality we get,
cup of cocoa : cupcakes = cup of cocoa : cupcakes
⅜ : 12 = 2 : x
⅜ / 12 = 2 / x
⇒ 0.375/12 = 2 / x
⇒ x = (2x12)/0.375
⇒ x = 24/0.375
⇒ x = 64
hence it is closest to the number 60.
So,The number of cupcakes that he could make if he has 2 cups of cocoa is C) 60.
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When 19346 is divided by a number,the quotient is 841 and the remainder is 3.What is the number?
Answer:
23
Step-by-step explanation:
19346 ÷ 841 = 23.003567.. ( that is 23 with a remainder ), then
23 × 841 = 19343, thus
19346 ÷ 841 = 23 remainder 3
The divisor is 23
Four times a number
decreased by ten is 34.
Write an equation & solve.
Find the coordinates of the midpoint of a segment with the endpoints (2,8) and (8,0).
Answer:
[tex]MP= (5,4)[/tex]
Step-by-step explanation:
[tex]MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )[/tex]
[tex]MP= (\frac{2+8}{2} )(\frac{8+0}{2} )[/tex] 2+8=10 8+0=8
[tex]MP= (\frac{10}{2} )(\frac{8}{2})[/tex] 10/2=5 8/2=4
[tex]MP= (5,4)[/tex]