Answer:
Inequality Form: x > −8
Interval Notation: (−8, ∞)
Step-by-step explanation:
−2 < x/4
Rewrite so x is on the left side of the i nequality.
x/4 > −2
Multiply both sides of the equation by 4.
x > −2 ⋅ 4
Multiply −2 by 4.
x > −8
The result can be shown in multiple forms.
Inequality Form:
x > −8
Interval Notation:
(−8, ∞)
Write an equation to represent each relationship. Then solve the equation. Six times a number plus 4 is the same as the number minus 11. A. 6 + 4 = n - 11; n = 21 B. 4n - 6 = 11n; n = 6/7 C. 6n = 4 + 11; n = 5/2 D. 6n + 4 = n - 11 n = -3
Answer:
-3
Step-by-step explanation:
Let the unknown number be n
We are to write the expression as equation;
Six times a number plus 4 is the same as the number minus 11.
Six times a number is given as;
6n
Six times a number plus 4 is expressed as 6n+4
The unknown number minus 11 will be expressed as n-11
Finally If Six times a number plus 4 is the same as the number minus 11, them!
6n+4 = n-11
Next is to calculate n;
Collect like terms;
6n-n = -11-4
5n =-15
Divide through by5
5n/5 = -15/5
n = -3
Hence the vale n is -3
a required question
A is the midpoint of BC. C is the midpoint of AD. E is the midpoint of CD. If CE =
3ft, how long is BD?
Answer:
18ft
Step-by-step explanation:
AC = CD = BA
CD = 2CE
BD = BA + AC + CD = 2CE + 2CE + 2CE
= 6CE
CE = 3
6 × 3 = 18
Evaluate 231a if a = 3.6
Answer:
831.6
Step-by-step explanation:
if a=3.6 then 231a is 231 x (3.6) = 831.6
a $260 suit price is marked down 10 % find the sale price
Answer:
260*0.90=sales price=234
Step-by-step explanation:
Step-by-step explanation: We first need to find the discount.
The formula for discount is shown below.
Original Price × Rate of Discount = Discount
So here, the original price is $260 and the
rate of discount is 10% off which we can write as .10.
So we multiply 260 by .20
260 x .10 gives us 26.
So the discount is $26.
Now let's find the sale price.
The formula for sale price is shown below.
Original Price - Discount = Sale Price
Since the original price is $260 ad the discount is $26,
we have 260 - 26 which gives us 234.
So the sale price of the suit is $234.
(−0.25x + 6) + (7.5x + 6.4)
Answer:
(−0.25x + 6) + (7.5x + 6.4)= (7.25x+12.4)=19.65
Step-by-step explanation:
19.65 is the answer
If you need the simplified equation it is the following;
7.25x + 12.4
A store sells a pair of Wireless Beats Studio headphones for $350. If you have $150 and are selling candy bars for $3 each, how many candy bars must you sell in order to save enough money for the headphones? PLEASE HELP
Answer:
67 candy barsStep-by-step explanation:
Given
Initial amount = $150Cost of candy bars = $3Amount required = $350Number of candy bars = xRequired equation
3x + 150 = 3503x = 200x = 200/3x ≈ 67Concepts:
Finding XAnswer: 67 candy bars
Initial amount = $150Cost of candy bars = $3Amount required = $350Number of candy bars = unknown
3x + 150 = 350
3x ≈ 200
x = 200/3
x ≈ 67
What is the answer to y=-2/3x0+1
Answer:
1 is the answer to this question
The sum of Hunter and Samantha's ages is 50. Samantha is 14 years older than Hunter. Enter Hunter's age. I WILL give brainliest
Answer:
samatha is 32 hunter is 18
Step-by-step explanation:
trial and error
how does
h(x)=-(x-3)^2+4
compare to the graph
g(x)=x^2
I need help I don’t know how to do any of this
Rachel saved money to buy art supplies. She used 13 of her savings to buy brushes. She used 35 of her savings to buy paint. What fraction of her savings does she have remaining?
Given:
Rachel used [tex]\dfrac{1}{3}[/tex] of her savings to buy brushes.
She used [tex]\dfrac{3}{5}[/tex] of her savings to buy paint.
To find:
The fraction for remaining savings.
Solution:
Fraction that Rachel used of her savings to buy brushes and paint is
[tex]\text{Fraction for used amount}=\dfrac{1}{3}+\dfrac{3}{5}[/tex]
[tex]=\dfrac{5+9}{15}[/tex]
[tex]=\dfrac{14}{15}[/tex]
Now,
[tex]\text{Fraction for remaining savings}=1-\text{Fraction for used amount}[/tex]
[tex]\text{Fraction for remaining savings}=1-\dfrac{14}{15}[/tex]
[tex]\text{Fraction for remaining savings}=\dfrac{1}{15}[/tex]
Therefore, [tex]\dfrac{1}{15}[/tex] of her savings is remaining.
PLEASE HELP MEE !!
Marcus made $500 working a 40 hour shift last week. He also runs a side business selling t-shirts for $12 each. How much money will Marcus have earned if he saves the $500 from last week, works another shift of 30 hours this week, and sells 22 t-shirts online?
Marcus will have a total of ____ dollars saved.
Answer:
764
Step-by-step explanation:
12x22=264+500=764
hope this helps
Which equation shows the relationship between days (d) and weeks (w)? *
Answer:
I think it is w=7d
Step-by-step explanation:
A.4 trash bins
B.12 trash bins
C.20 trash bins
D. 64 trash bins
I NEED HELP PLEASE ):
Answer:
D. 64 trash cans
Step-by-step explanation:
The answer is D. because 1 * 16 = 16 so 4 * 16 = 64 trash cans.
Answer:
probably 64
think of 16=1
and 64 ÷ 16 is 4
Caroline is 12 years older than Nick. Mark is 4 years younger than Nick. If the total of their ages is 44, how old is the youngest of them?
Answer:
Hi there,
Make Nick's age = x
Caroline's age = x + 12
Mark's age = x - 4
x + (x + 12) + (x - 4)
Remove brackets
x + x + 12 + x - 4 = 44
Collect like terms
3x = 44 - 12 + 4
3x = 36
x = 12
Mark is 8 yrs old
Nick is 12 yrs old
Caroline is 24 yrs old
Youngest is Mark = 8 years old.
Hope this helps :-)
Answer:
Hi there, Youngest is Mark = 8 years old.
Step-by-step explanation:
Make Nick's age = x
Caroline's age = x + 12
Mark's age = x - 4
x + (x + 12) + (x - 4)
Remove brackets
x + x + 12 + x - 4 = 44
Collect like terms
3x = 44 - 12 + 4
3x = 36
x = 12
Mark is 8 yrs old
Nick is 12 yrs old
Caroline is 24 yrs old
Youngest is Mark = 8 years old.
Hope this helps :-
i need help with it like really teacher
Answer:
i think the answer is B
Step-by-step explanation:
sorry if this was wrong hoped i helped tho
Complete the sentence (20 points) marking correct answer brainliest
Answer:
Answers to questions:
1. MP and MQ2. PQ3. PM4. PN and NM5. ∠NQM and ∠NMQAnswer:
1. MP and MQ
2. PQ
3. PM
4. PN and NM
5. ∠NQM and ∠NMQ
Step-by-step explanation:
If you see and use the congruent lines on the triangle, and look at the givens, then you can work this answer out yourself
Please define the following terms:
Maryland, religious toleration, Bacon’s Rebellion, North Carolina, South Carolina, Georgia, ponder, forfeits, pottage, clout, judicious, commodity.
PLEASE GIVE ME BRAINLIEST! I worked very hard on this and it took my entire class period :(
Answer:
Maryland- This is a state in the USA, home to the Chesapeake Bay, Maryland is known for its blue crabs and the city of Baltimore, a major historic trading port, baseball power, and birthplace of the national anthem.
Religious Toleration- The condition of letting people worship and perform any rituals/practices in any religion they choose.
Bacon's Rebellion- The first armed insurrection by American colonists against Britain's government. Long before the American Revolution occurred, Bacon and his armed rebels ransacked their capital, threatened its governor, and upended Virginia's social order.
North Carolina- The largest producer of sweet potatoes in the United States. It was home to the first English child born in America, Virginia Dare, was born in Roanoke Island, North Carolina, in 1587. High Point is known as the Furniture Capital of the World.
South Carolina- Johnston, South Carolina, is known as the Peach Capital of the World. The largest Gingko farm in the world is located in Sumter, South Carolina. The first battle of the Civil War took place at Fort Sumter, South Carolina.
Georgia- America's number-one producer of peanuts, pecans, and Vidalia onions, known as the sweetest onions in the world, can only be grown in the fields around Vidalia and Glennville. Another sweet treat from the Peach State is Coca-Cola, which was invented in Atlanta in 1886.
Ponder- To think about something carefully, usually
coming to a conclusion
Forfeits- To lose or give up as a consequence of something else.
Pottage- To sell something of a rediculiously small amount.
Clout- A piece of cloth or clothing, especially one used as a patch.
Judicious- having, showing, or done with good judgment or sense.
Commodity- a raw material or primary agricultural product that can be bought and sold, such as copper or coffee.
Answer:
Maryland- This is a state in the USA, home to the Chesapeake Bay, Maryland is known for its blue crabs and the city of Baltimore, a major historic trading port, baseball power, and birthplace of the national anthem.
Religious Toleration- The condition of letting people worship and perform any rituals/practices in any religion they choose.
Bacon's Rebellion- The first armed insurrection by American colonists against Britain's government. Long before the American Revolution occurred, Bacon and his armed rebels ransacked their capital, threatened its governor, and upended Virginia's social order.
North Carolina- The largest producer of sweet potatoes in the United States. It was home to the first English child born in America, Virginia Dare, was born in Roanoke Island, North Carolina, in 1587. High Point is known as the Furniture Capital of the World.
South Carolina- Johnston, South Carolina, is known as the Peach Capital of the World. The largest Gingko farm in the world is located in Sumter, South Carolina. The first battle of the Civil War took place at Fort Sumter, South Carolina.
Georgia- America's number-one producer of peanuts, pecans, and Vidalia onions, known as the sweetest onions in the world, can only be grown in the fields around Vidalia and Glennville. Another sweet treat from the Peach State is Coca-Cola, which was invented in Atlanta in 1886.
Ponder- To think about something carefully, usually
coming to a conclusion
Forfeits- To lose or give up as a consequence of something else.
Pottage- To sell something of a rediculiously small amount.
Clout- A piece of cloth or clothing, especially one used as a patch.
Judicious- having, showing, or done with good judgment or sense.
Commodity- a raw material or primary agricultural product that can be bought and sold, such as copper or coffee.
The first equation of the system is multiplied by 2. By what number would you multiply the second
equation to eliminate the y variable by adding?
4x – 3y = 6
6x + 2y = 10
Answer:
we will have to multiply the second equation by 3 to eliminate the y variable by adding.
Step-by-step explanation:
Given the equations
4x – 3y = 6 → (1)
6x + 2y = 10 → (2)
As the first equation is multiplied by 2,
2(4x – 3y) = (2)6
8x - 6y = 12 → (3)
As we have to eliminate y,
so multiply the second equation by 3,
6x + 2y = 10
3(6x + 2y) = 3(10)
18x + 6y = 30 → (4)
So now adding the new equations (3) and (4) will eliminate the y variable by adding
8x - 6y = 12
18x + 6y = 30
--------------------
26x + 0y = 42
26x = 42
x = 42/26
x = 21/13
Therefore, we will have to multiply the second equation by 3 to eliminate the y variable by adding.
Ryan is choosing between two exercise routines. In Routine #1, he burns 22 calories walking. He then runs at a rate that burns 10.5 calories per minute. In Routine #2, he burns 39 calories walking. He then runs at a rate that burns 6.25 calories per minute.
Complete question :
Ryan is choosing between two exercise routines. In Routine #1, he burns 22 calories walking. He then runs at a rate that burns 10.5 calories per minute. In Routine #2, he burns 39 calories walking. He then runs at a rate that burns 6.25 calories per minute. For what amounts of time spent running will Routine #1 burn at most as many calories as Routine #2?
Answer:
4 minutes
Step-by-step explanation:
Given the following exercise routines :
Routine #1,
Walking : burns 22 calories walking. He then running : burns 10.5 calories per minute.
Routine #2,
Walking : burns 39 calories walking. He then running : burns 6.25 calories per minute.
Let number of tone spent running = t
Hence,
Routine 1 ; calories burned
22 + 10.5t
Routine 2 ; calories burned
39 + 6.25t
Equating the two equations :
22 + 10.5t = 39 + 6.25t
10.5t - 6.25t = 39 - 22
4.25t = 17
t = 17/4.25
t = 4
how do i Evaluate 20^2
Answer:
boom
Step-by-step explanation:
Answer:
400
Step-by-step explanation:
All you have to do is multiply 20 by itself one time. You get 400.
So, 20^2 is 400.
Mrs.Silverstein sold 91 cupcakes at a food fair . The cupcakes were sold in boxes of abc”bakers dozen “ , with is 13 . She sold all the cupcakes at 15$caper box . How much money did she receive?
Answer:
$105
Step-by-step explanation:
91 divided by 13 times 15
Answer:
$105
Step-by-step explanation:
She sold 91 cupcakes with 13 in a box... so she sold (91/13)=7 boxes
7 boxes sold at $15 each
7 x 15=105 so she receive $105
Gregory has 52 angelfish and 24 cichlid fish in his aquarium. Unfortunately, many of his fish got a sickness called "ick". 1/4 of the angelfish became sick 1/3
of the cichlid fish became sick
How many fish from Gregory's aquarium became sick?
Answer:
21 fish
Step-by-step explanation:
52/4=13
24/3=8
13+8=21
An individual is baking 3 batches of cookies. They used 2.6 oz. of vanilla in one batch of the cookies, 1.4 oz. of vanilla in the second batch and .5 oz. in the third batch. Please convert these decimals into fractions and then put them in ascending order.
Answer:
2 3/5, 1 2/5, 1/2
Step-by-step explanation:
batch 1 2.6= 2 3/5
batch 2 1.4= 1 2/5
batch 3 0.5= 1/2
Find the slope of the line through the points (13, 15) and (13, 19). Then find the slope of the line parallel and the line perpendicular.
We must find the slope of the original line using slope formula*.
[tex]m = \frac{19 - 15}{13 - 13} = \frac{5}{0} = 0[/tex]
Because the given points have the same x-coordinate, the slope is 0.
Given that the original line doesn't have slope, the other two lines won't have one either.
You can buy 3 apples at the quick market for $1.35. You can buy 5 of the same apples at stop and save for $1.00. Which place is the better buy
Which best proves why the expressions 4 (x + 3) + 2 x and 6 (x + 2) must be equivalent expressions? When x = 3, both expressions have a value of 30. When x = 5, both expressions have a value of 42. When x = 1, both expressions have a value of 18, and when x = 8, both expressions have a value of 60. When x = 2, both expressions have a value of 15, and when x = 6, both expressions have a value of 39. ITS NOT 30 I TOOK THE TEST
Answer:
a) When x = 3, both expressions have a value of 30. When x = 5, both expressions have a value of 42.
b) When x = 1, both expressions have a value of 18, and when x = 8, both expressions have a value of 60.
Step-by-step explanation:
Which best proves why the expressions 4 (x + 3) + 2 x and 6 (x + 2) must be equivalent expressions?
Mathematically this is expressed as:
4(x + 3) + 2x = 6(x + 2)
Verifying the options
a) When x = 3, both expressions have a value of 30. When x = 5, both expressions have a value of 42.
When x = 3
4(x + 3) + 2x = 6(x + 2)
4(3 + 3) + 2(3)= 6(3 + 2)
24 + 6 = 6(5)
30 = 30
When x = 5
4(x + 3) + 2x = 6(x + 2)
4(5 + 3) + 2(5)= 6(5 + 2)
4(8) + 10 = 6(7)
42 = 42
Statement in option a is correct
b) When x = 1, both expressions have a value of 18, and when x = 8, both expressions have a value of 60.
When x = 1
4(1 + 3) + 2x = 6(x + 2)
4(1 + 3) + 2(1)= 6(1 + 2)
4(4) + 2 = 6(3)
18 = 18
When x = 8
4(8 + 3) + 2x = 6(8 + 2)
4(11) + 2(8)= 6(8 + 2)
44 + 16 = 6(10)
60 = 60
Statement in option b is correct
c) When x = 2, both expressions have a value of 15, and when x = 6, both expressions have a value of 39.
When x = 2
4(x + 3) + 2x = 6(x + 2)
4( 2 + 3) + 2(2)= 6(2 + 2)
4(5)+ 4 = 6(4)
20 + 4 = 6(4)
24 = 24
4(x + 3) + 2x = 6(x + 2)
4(6 + 3) + 2(6)= 6(6 + 2)
4(9) + 12 = 6(8)
48 = 48
Statement in Option c is wrong
Hence, Statement in Option a and b is correct
Answer:
C
Step-by-step explanation:
Calvin Butterball earns $400 working at the supermarket to help pay his share of a vacation trip with Phoebe Small's family. To supplement his earnings, Calvin's mother will give him an additional 20% of what he earns and his father will give him an additional 30% of what he earns. a. How much will he get from each parent?
Answer:
Mother = $80
Father = $120
Step-by-step explanation:
Given that :
Earning = $400
Amount gotten from mother = 20% of earning
Amount gotten from father = 30% of earning
Amount gotten from each parent :
MOTHER :
0.2 * $400 = $80
FATHER :
0.3 * $400 = $120
Rachel shared 50 peanuts equally among his 4 sisters. How many peanuts did Rachel have left after he gave his sisters their share?
Answer:
This the best I got. Hope it helps! ( found a faster way to backspace when ur typing lol) (ctrl+backspace)
Step-by-step explanation:
50 divided by 4
50/4
= 13.
how many minutes are there in h hours and m minutes?
a. h/60+m
b. 60(h+m)
c. h+60m
d. (h+m)/60
e. 60h+m
Answer:
it would be C i looked it up to double check
Step-by-step explanation:
120=60*2, which is equal you can do it with any number