On their first dive, researchers explore a part of the ocean floor that is 60 feet
below sea level. This depth can be represented by the integer -60. On their
second dive, researchers explore a deeper depth.
Write an inequality that represents the possible depth, d, of the researchers'
second dive.
Answer:
d < -60
Step-by-step explanation:
Let d represent the depth of the researchers' second dive.
Given;
Depth of First dive = -60 ft
It was stated that in their second dive, the researchers explore a deeper depth, That is depth deeper than 60 ft.
Since the depth of 60ft is represented by the integer -60,
Deeper depth would be represented by integers less than -60.
So, d can be represented as;
d < -60
Answer:
d < -60
Step-by-step explanation:
Let d represent the depth of the researchers' second dive.
Depth of First dive = -60 ft
It was stated that in their second dive, the researchers explore a deeper depth, That is depth deeper than 60 ft.
Since the depth of 60ft is represented by the integer -60,
Deeper depth would be represented by integers less than -60.
So, d can be represented as;
d < -60
Translate the sentence into an equation.
The sum of 8 times a number and 9 is 2.
Use the variable for the unknown number.
Answer:
x=-0.875
Step-by-step explanation:
Into an equasion it would be: 8•x+9=2
Let's solve for x:
1. 8x+9=2
2. 8x=2-9
3. 8x=-7
4. x=-0.875
Use the graph of g to solve.
Find g(-16)
Answer:
g(-16) = 6
Step-by-step explanation:
We want the value of the function when x = -16
The function is constant from x = -8 to the left. The value is 6
g(-16) = 6
Answer:
g(-16) = 6
Step-by-step explanation:
The upper horizontal line with an arrow to the left means that the value of function g remains at 6 from x = -8 as it approaches negative infinity. Since -16 is in the interval from -8 to -infinity, then
g(-16) = 6
Which equation in the form y = mx + cs models Emma's situation?
O y = 20x + 0.15
O y = 20x + 15
O y = 20x + 0.15s
y = 20x + 15s
Help!!!!
Answer:
the answer would be y = 20x + 0.15s
Step-by-step explanation:
In this problem you would just plug in your facts. 20 would plug in for m, 15% would change to 0.15 then you would plug 0.15 into c.
The equation represents Emma's situation is y = 20x + 0.15s. The correct option is C.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The equation in the form y = mx + cs models Emma’s situation is
y = 20x + 0.15s
She makes $20 per hour, so for x hours, she makes 20x. The slope-intercept of the line y= mx+c
Where y coordinate, x- x co-ordinate
m=slope of the given line
C-y intercept.
She makes a 15% commission on the sales, s. 15% = 0.15,
So for the sales, she makes
15% * s = 0.15s.
The total she makes is 20x + 0.15s
y = 20x + 0.15s
The complete question is given below:-
Emma has just started a new sales job. She makes $20 an hour. On top of her hourly wages, she’ll be paid a commission of 15% on all sales she makes. Use this information to answer the following questions.
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Select the correct answer. Identify the axis of symmetry of the function graphed below. A. x = -3 B. x = -1 C. x = 1 D. x = -4
Answer:
B
Step-by-step explanation:
The vertex of the parabola is (-1,-4)
So the axis of symetry is x=-1
Students were asked to write 6x^5 + 8x - 3x^3 + 7x^7 in standard form.
Shown below are four student
responses.
Anne: 7x^7 + 6x^5 – 3x^3 + 8x
Bob: -3x^3 + 6x^5 + 7x^7 + 8x
Carrie: 8x + 7x^7 + 6x^5 – 3x^3
Dylan: 8x - 3x^3 + 6x^5 + 7x^7
Which student is correct?
Anne: 7x^7 + 6x^5 – 3x^3 + 8x
A train goes at a constant speed. If it covers 150 miles in 2/1 2 hours,
e
How long would it take for that train to cover 270 miles?
Answer:
x =4.5 hours
Step-by-step explanation:
We can use ratios to solve
150 miles 270 miles
--------------- = --------------
2.5 hours x miles
150 *x = 270*2.5
Divide each side by 150
150x/150 = 270*2.5/150
x =4.5 hours
The solution of [tex]\frac{1}{3}[/tex]x + 2 = 7x is
A. 1
B. 3/10
C. 1/2
D. 1/10
Answer:
B)
Step-by-step explanation:
[tex]\frac{1}{3}x+2=7x[/tex]
Subtract (1/3)x form both sides
[tex]\frac{1}{3}x+2-\frac{1}{3}x=7x-\frac{1}{3}x\\\\2=7x-\frac{1}{3}x\\\\2=\frac{7*3}{1*3}x-\frac{1}{3}x\\\\2=\frac{21}{3}x-\frac{1}{3}x\\\\2=\frac{20}{3}x\\\\\frac{20}{3}x=2\\\\x=2*\frac{3}{20}\\\\x=\frac{3}{10}[/tex]
plz help me by complete the steps to solve for x
Answer:
30
Step-by-step explanation:
5/6x-1/5x=19
19/30x=19
30/19(19/30x)= 30/19(19)
x= 30
Combine like terms to find the expression to −6(14b+10)+4(910b+3).
Answer:
3556b - 48
Step-by-step explanation:
−6(14b+10)+4(910b+3)=
-84b-60+3640b+12=
(3640-84)b+(12-60)=
3556b - 48
15−x+y=14−(−x−y) help plz
Answer:
[tex]x=0.5[/tex]
[tex]y=anything[/tex]
Step-by-step explanation:
15−x+y=14−(−x−y)
15-x+y=14+x+y
Subtract 14 from both sides
1-x+y=x+y
Subtract y from both sides
1-x=x
Add x to both sides
1=2x
2x=1
Divide both sides by 2
x=0.5
18. The equations 6x + 5y 300 and 3x + 7y = 285
represent the
money collected from selling gift
baskets in a school fundraising event. If x represents
the cost for each snack gift basket and y represents
the cost for each chocolate gift basket, what is the
cost for each chocolate gift basket?
A) $20 B) $25 C) $30 D) $54
PLS HELP ME ASAP!
Answer: The cost for each chocolate gift basket is b)$25.
Step-by-step explanation:
Hi, the correct equations are:
6x + 5y =300
3x + 7y = 285
So, if we multiply the second equation by 2, and subtract the first equation to the second equation:
6x +14 y= 570
-
6x +5y =300
_________
9y = 270
Solving for y:
y = 270/9
y = 30
Substituting y=30 on any equation:
6x + 5y =300
6x + 5(30) =300
Solving for x (cost for each chocolate gift basket)
6x+150 =300
6x =300-150
6x = 150
x =150/6
x = $25
ULICU OSGUSIETI
00:00
Brice is finding the sum of 468 and 241 by breaking it into smaller problems.
He uses place value and finds the sums of the hundreds, tens, and ones.
What is the sum of the tens? Enter your answer in the box.
Answer:
[tex]Sum = 100[/tex]
Step-by-step explanation:
Given
468 and 241
Required
Sum of the Tens
Breaking 468 to smaller bits; we have
Hundred = 400
Tens = 60
Units = 8
Breaking 241 to smaller bits; we have
Hundred = 200
Tens = 40
Units = 1
The question requests for the sum of the Tens;
The sum of the tens goes thus;
[tex]Sum = Tens_{468} + Tens_{241}[/tex]
[tex]Sum = 60 + 40[/tex]
[tex]Sum = 100[/tex]
Hence, the sum of tens of 468 and 241 is 100
Is it true or false ...help please
Answer: TRUE
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
A^2+B^2=C^2
What is the probability of spinning a 5 or a 6? select the fraction and the percent
1/5
1/2
1/4
2/9
20%
50%
25%
22.2%
Answer:
1/5 or 20%
Step-by-step explanation:
There are 10 total options
P( 5 or6) = number of 5's or 6's / total
=2/10
= 1/5
1/5 = 20%
Answer:
1/5, 20%
Step-by-step explanation:
Since there are 10 numbers in all from 1-10, the probability of spinning a 5 or a 6 is 2/10 which simplifies to 1/5. This also equals 20%.
Complete the rule:
positive + positive =
Answer:
Positive
Step-by-step explanation:
Positive plus positive is positive. For example, 3+3. That will be 6. 3 is positive both times. And six is positive.
Can someone help me with number 8 plz
Answer:
7/23
Step-by-step explanation:
Multiples of 4 are 4 and 8
4 was spun 4 times
8 was spun 3 times
total spins = 2+3+2+4+5+3+1+3=23
P( 4 or 8) = number of times spun / total
= (4+3) / 23
=7/23
Given: F(x) = x + 2 and G(x) = 3x + 5
(F*G) (x) =
Answer:
[tex] \boxed{(f \times g)(x) = 3 {x}^{2} + 11x + 10} [/tex]
Given:
[tex]f(x) = x + 2 \\ \\ g(x) = 3x + 5[/tex]
To Find:
[tex] (f \times g)(x) = f(x) \times g(x)[/tex]
Step-by-step explanation:
[tex]= > f(x) \times g(x) = (x + 2)( 3x + 5) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =x( 3x + 5) + 2(3x + 5) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3 {x}^{2} + 5x + 6x + 10\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3 {x}^{2} + 11x + 10[/tex]
Answer:
[tex]\boxed{(f \times g)(x) = 3 {x}^{2} + 11x + 10}[/tex]
Step-by-step explanation:
Foil:
x times 2x
2 times 3x
x times 5
2 times 5
then add them all up
What is the length of AB?
Answer:
AB =12
Step-by-step explanation:
Since the base angles are the same, the sides are the same length
4x = 2x+6
subtract 2x from each side
4x-2x = 2x+6-2x
2x = 6
Divide by 2
2x/2 =6/2
x =3
AB =4x
=4(3)
AB =12
Does anyone know the answers please help!
Answer:
I am sick
Step-by-step explanation:
What is the factorization of 729x^15 + 1000?
729x¹⁵ + 1000
This is a case of a sum of cubes.
729 is the cube of 9
1000 is the cube of 10
x¹⁵ is the cube of x⁵
A sum of perfect cubes can be factored into
(a + b) (a² - ab + b²)
(9x⁵+ 10) ((9x⁵)²-(9x⁵)(10) + 10²)
(9x⁵ + 10) (81x¹⁰ - 90x⁵ + 100) THIS IS THE FACTORIZATION
9x⁵ (81x¹⁰ - 90x⁵ + 100) + 10(81x¹⁰ - 90x⁵ + 100)
729x¹⁵ - 810x¹⁰ + 900x⁵ + 810x¹⁰ - 900x⁵ + 1000
729x¹⁵ - 810x¹⁰ + 810x¹⁰ + 900x⁵ - 900x⁵ + 1000
729x¹⁵ + 1000
Which defines a line segment?
two rays with a common endpoint
a piece of a line with two endpoints
a piece of a line with one endpoint
all points equidistant from a given point
B. A piece of a line with two endpoints
The definition that defines a line segment is
piece of a line with two endpoints.
What is line segment?Line segment refer to line on a piece which comprises of two points that are extreme to each other.
Therefore, The definition that defines a line segment is piece of a line with two endpoints.
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2nd Option : a piece of a line with two endpoints
What is line ?
A figure formed by joining two points and whose ends are extended to the infinity is called line.
What is line segment ?A line segment is the finite length between two points, which can be measured. A line segment is a small part of a line.
What is the correct option ?A line segment is defined as a piece of a line with two endpoints.
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Simpson deposits $1,200 in a savings account that earns simple interest at the rate of 5% per year. What interest does he earn at the end of 1 year?
-must haves :)..
right answer.
makes sense.
step by step.
^I will mark someone the brainliest when someone answers this, thank youuu:)
Answer:
$60
Step-by-step explanation:
1200*0.05 = $60
Need help with this pls
(Show work pls!!)
Answer:
46
Step-by-step explanation:I know this because I have done this before!
PLEASE HELP ME!
How can I figure out the length of the short leg on a 30-60-90 right triangle without measuring it. And how can I determine the hypotenuse of the same triangle without measuring it.
10 years ago, the ratio of Jeremy's age to randy's age to Kadens's age was 4:3:1. The sum of their present age is 102. Find Randy's age now.
Answer:
Randy: 38.25
Step-by-step explanation:
J 4×12.75= 51
R 3×12.75= 38.25
K 1×12.75= 12.75
51+38.25+12.75=102
Answer: 37
Step-by-step explanation: TEN years ago : 4+3+1 = 8 TEN years ago (102-30) = 72 72/8 = 9
Randy was 3 * 9 = 27 ten years ago now he is 37 y/o
There were 70 employees working at a rental company. This year the number of employees increased by 10 percent. How many employees work for the rental company this year?
Antonio wants to build a cube-shaped storage container that holds 216 cubic inches of water for some frogs he recently purchased.
Using the formula,V=s3, where V represents the volume of the container andsrepresents its side length, find the length of one side of the container.
Answer: a = 6 inches
Step-by-step explanation:
a = V^1/3
Classify the following triangle?
Answer:
B.
Step-by-step explanation:
The triangle is obtuse because there only has to be one obtuse angle for it to be obtuse.
Answer:obtuse
Step-by-step explanation: it’s 180 degrees
A can contains 414 mL of chicken broth. Roland poured 4 cans of broth into a pot for a soup recipe. How many liters of broth did Roland pour into the soup?
Answer:
1.656 litres
Step-by-step explanation:
1 can = 414ml
4 cans = 414 x 4
4 cans = 1,656ml
1,656ml = 1.656 litres
The amount of broth poured into the soup is 1.656 L.
Given data:
To determine the number of liters of broth Roland poured into the soup, we need to convert the volume of the broth from milliliters (mL) to liters (L).
Given that each can contains 414 mL of chicken broth, and Roland poured 4 cans of broth into the pot, we can calculate the total volume in milliliters:
414 mL/can * 4 cans = 1656 mL
On simplifying the equation:
To convert milliliters to liters, we divide by 1000 since there are 1000 milliliters in a liter:
1656 mL / 1000 = 1.656 L
Hence, Roland poured 1.656 liters of broth.
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