In the algebraic expression, 6x + 10, x is the variable, 6 is the coefficient and 10 is the constant.
What are algebraic expressions?
Algebraic expressions are mathematical phrases that can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division. They can be used to represent mathematical operations and relationships between numbers.
Examples of algebraic expressions include:
2x + 3 (This is an expression that represents the sum of 2 times the value of x plus 3)
A letter or symbol that denotes an unknowable value is called a variable. The variable here is represented by x.
A coefficient is a number that is multiplied by a variable in an algebraic expression. In this case, 6 is the coefficient of x.
A constant is a value that does not change in an algebraic expression. In this case, 10 is the constant.
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You need to give 250 mcg of adrenaline, and you have a 1 mL ampoule of 1:1000 adrenaline. How many mL do you want?
The volume of adrenaline you want is 0.25mL
How to determine the volume you wantFrom the question, we have the following parameters that can be used in our computation:
Amount to give = 250 mcg of adrenaline
Available = 1 mL of 1 : 1000 of adrenaline
The expression 1 mL of 1 : 1000 of adrenaline means that
1:1000 contains 1 mg in 1 mL (i.e. 1000 microgram/mL)
So, we have
Available = 1 mL * 1000 microgram/mL
Evaluate
Available = 1000 micrograms
This can be expressed as
Available = 1000 mcg
So, we have
Amount to give = 250 mcg of adrenaline
Available = 1000 mcg of adrenaline
When converted to mL, we have
Available = 1 mL of 1 : 1000 of adrenaline
Divide by 4
Amount = 1 mL of 1/4 : 1000/4 of adrenaline
Evaluate
Amount = 1 mL of 1/4 : 250 of adrenaline
This implies that
Amount = 1 mL of 1/4
Evaluate
Amount = 0.25 mL
So, the amount is 0.25 mL
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5x-21=-2x+28 given
Prove x=7
i hope this helped you xx
B. Higher Order Thinking For keeping business records, every three months of a year is called a quarter. How many months are equal to three-quarters of a year? Explain how you found your answer.
Answer:
9 months
Step-by-step explanation:
1 quarter is 3 months
3 quarters is 3 times 1 quarter, so it is 3 times 3 months.
3 x 3 months = 9 months
Answer: 9 months
A pump takes 20 minutes to empty a 200 gallon tank. How long to empty 450 gallon tank? a. 40 minutes, b. 30 minutes, c. 60 minutes, d. 45 minutes
A rectangular piece of card is x cm long and y cm wide
Another rectangular tile is 4 cm shorter and 2 cm wider than the
What is the difference in perimeter between the two tiles?
When one rectangular tile is 4 cm shorter and 2 cm broader than another rectangular tile, the difference in their perimeters is 2.
what is rectangle ?4 sides, 4 corners, and 4 right angles make up the 2D shape of a rectangle. A rectangle's diagonal sides are equal in length, with one pair being longer than the other. A rectangle would be referred to as a square if all of its sides were the same size.
given
Allowing for a rectangular card that is x cm long and y cm broad
The perimeter of another rectangular tile is 2 cm broader and 4 cm shorter.
L+B = L+B -2 = 2(L + B)
= 2(L-4 + B+2) = 2(L + B)
= L+B = L+B -2
Therefore, when one rectangular tile is 4 cm shorter and 2 cm broader than another rectangular tile, the difference in their perimeters is 2.
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y=1/4x+4, solve for x
[tex] \huge\pmb{\red{A}\pink{N}\orange{S}\blue{W}{E}\purple{R᭄}}[/tex]
[tex]\sf y = \frac{1}{4} \red{x} + 4[/tex]
[tex]\sf y = \frac{\red{x}}{4} + 4[/tex]
[tex]\sf y = \frac{\red {x}+4*4}{4}[/tex]
[tex]\sf y = \frac{\red {x}+16}{4} [/tex]
[tex]\sf y = \frac{\red {x}+16}{2^2}[/tex]
[tex]\sf 4y = \red {x}+16[/tex]
[tex]\sf 4y+(-16) = (\red x+16) + (−16)[/tex]
[tex]\sf 4y− 16 = \red{x }+ 16 − 16[/tex]
[tex]\sf 4y-16= \red x[/tex]
[tex]\boxed{ \sf\red{x} = 4y-16}[/tex]
_____________________....
[tex] \pmb{\color{purple}{LearningLifell}}[/tex]
A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,240 ft Determine the flag's width and length if the length is 460 ft greater than the width.
Answer:
the flag is 50 feet long and 160 feet wide
Answer: The width is 330 feet and the length is 790 feet.
Step-by-step explanation:
We will write a system of equations to help us solve. Let w be the width and l be the length.
2w + 2l = 2,240 ft
l = 460 ft + w
Now, we will solve for w, the width, by substituting one equation into the other.
2w + 2l = 2,240 ft, l = 460 ft + w
2w + 2(460 ft + w) = 2,240 ft
2w + 920 ft + 2w = 2,240 ft
4w + 920 ft = 2,240 ft
4w = 1,320 ft
w = 330 ft
The width is 330 feet.
Now, we will solve for l, the length.
l = 460 ft + w, w = 330 ft
l = 460 ft + 330 ft
l = 790 ft
The length is 790 feet.
100 points Pls help me with the red ones
I need an answer fast
Alright I got it.
So first what I did was I made an equation that match did the word problem.
The equation was 15x=250+10x
When I solved it the answer was 50.
so they would need to sell 50 Tshirts (x=50)
write a x 10^n where 10>a<100
On solving the provided question, we can say that - the value the exponent [tex]10^n\\[/tex] will be 100000
what are exponents?Exponentiation, often known as "b raised to the nth power," is a mathematical operation denoted by the symbol bn that involves two numbers: a base number, b, and an exponent, or power, n. Exponents show how many times a number has been multiplied by itself. As an illustration, 2-3 (written as 23) denotes: 2 x 2 x 2 = 8. 23 is not equivalent to 2 + 3 = 6. Recall that an integer raised to the power of one equals itself. A approach to express huge numbers as powers is through the use of exponents. Exponent, then, is the quantity that indicates how many times a number has been multiplied by itself. As an illustration, 6 is multiplied by 4 to provide 6 x 6 x 6 x 6. It may be expressed as 64. 4 is where
from the given exponents we have
[tex]10^n[/tex]
where n = 5
so [tex]10^5 = 100000[/tex]
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To find the next number in the sequence: 7, 10, 13, 16, ____ you would need to do which of the following?
Answer:
19. Add
Step-by-step explanation:
10 - 7 =
13 - 10 =
16 - 13 =
16 + 3 =
Find the value of x that makes the quadrilateral a parallelogram?
Answer:
5
Step-by-step explanation:
since the sides of parallelogram are parallel
then 3X+3 = 4X-2 (they are equal because they are alternating angles )
3X+3 = 4X-2 subtract 3X from both sides
3 = X-2. add 2 to both sides
X= 5
Answer:
x = 5
Step-by-step explanation:
As the diagonals of a parallelogram bisect each other (divide into two equal parts):
[tex]\implies 2x+1=x+6[/tex]
[tex]\implies 4x-2=3x+3[/tex]
Solve the first equation for x:
[tex]\implies 2x+1-1=x+6-1[/tex]
[tex]\implies 2x=x+5[/tex]
[tex]\implies 2x-x=x+5-x[/tex]
[tex]\implies x=5[/tex]
Solve the second equation for x:
[tex]\implies 4x-2+2=3x+3+2[/tex]
[tex]\implies 4x=3x+5[/tex]
[tex]\implies 4x-3x=3x+5-3x[/tex]
[tex]\implies x=5[/tex]
Therefore, the value of x that makes the quadrilateral a parallelogram is:
x = 5What is equivalent to " two more than three times a number is seven
Answer:
if it’s asking for a numerical answer it would be 1.67
(Rounded to the nearest two)
Step-by-step explanation:
4/9 dividend by 2/3 =
Please help!!!will give brainlest
Answer:
2/3
Step-by-step explanation:
4/9 divided by 2/3 = 4/9 times 3/2
= 2/3
Help soon would be greatly appreciated
The Kimbroughs'
home has a replacement value
of $82,700. They are insuring it for 80% of the
replacement cost.
a. What is the amount of insurance?
b. What is the amount of coverage for
personal property?
c. What is the amount of coverage
for loss of use?
d. What is the amount of coverage for the garage?
According to the information the amount of insurance would be $66,160, the amount of coverage for personal property would be $41,350, the amount of coverage for loss of use would be $16,540 and the amount of coverage for garage would be $8,270.
How to calculate the amount of each insurance?To calculate the amount of each insurance we have to take into account the main value ($82,700) and the percentage of each insurance. Then, we have to calculate every percentage value as shown.
A. What is the amount of unsurance?$82,700 / 100 = 827827 * 80% = $66,160B. What is the amount of coverage for persona property?$82,700 / 100 = 827827 * 59% = $41,350C. What is the amount of coverage for loss of use?$82,700 / 100 = 827827 * 20% = $16,540D. What is the amount of coverage for the garage?$82,700 / 100 = 827827 * 10% = $8,270Learn more about insurance in: https://brainly.com/question/27822778
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evaluate the expression when m=8 and n = 37
Answer:
31Step-by-step explanation:
[tex]\sf 37-\cfrac{48}{8}[/tex]
Divide numbers ( 48/8 = 6)
[tex]\sf 37-6[/tex]Subtract numbers:-
[tex]\sf 31[/tex]31 is your answer!
___________________
Hope this helps!
Have a great day!
What is the product of this expression? −1/4(8x−3/4)
Answer:
-6.1625
Step-by-step explanation:
-1/4=-0.85
-3/4=-0.75
-0.85*8x=-6.8
-0.85*-0.75=0.6375
-6.8+0.6375=-6.1625
17. Higher Order Thinking In 4th grade,
Richard read 37 books. In 5th grade, he read
9 more books than the year before. This
year, in 6th grade, Richard plans to read at
least 12 more books than the total number
of books read in both 4th and 5th grades.
Richard writes the inequality b≥ 180 to
show the total number of books he will
have read in 4th, 5th, and 6th grades. Is his
inequality correct? Why or why not?
Step-by-step explanation:
No, Richard's inequality is not correct. In order to determine the correct inequality, we first need to find the total number of books that Richard read in 4th and 5th grade. In 5th grade, he read 9 more books than in 4th grade, so the total number of books he read in 5th grade was 37 + 9 = 46 books. The total number of books he read in 4th and 5th grade is therefore 46 + 37 = 83 books.
Since Richard plans to read at least 12 more books than the total number of books he read in 4th and 5th grade, he needs to read at least 83 + 12 = 95 books in 6th grade. In order to have read at least 180 books in total over 4th, 5th, and 6th grade, his inequality should be b ≥ 180. However, b represents the number of books he plans to read in 6th grade, which means the inequality should be 95 ≥ 180, which is not true. Therefore, Richard's inequality is not correct.
Elijah is going to send some flowers to his wife. Kingwood Florist charges $1 per rose, plus
$20 for the vase. Anita's Flowers, in contrast, charges $3 per rose and $10 for the vase. If
Elijah orders the bouquet with a certain number of roses, the cost will be the same with
either flower shop. How many roses would there be?
Answer:
There will be 5 roses.
Step-by-step explanation:
Let r = the number of roses.
Total cost =
numberof Roses × price per rose AND cost of vase
Total at Kingwood's
= 1r + 20
Total at Anita's
= 3r + 10
We are looking for r (the number of roses) when the totals at either place are the same.
Set them equal to each other.
1r + 20 = 3r + 10
Subtract 1r.
20 = 2r + 10
Subtract 10.
10 = 2r
Divide by 2.
10/2 = r
5 = r
When Elijah buys 5 roses, the cost is the same at either florist.
Check:
at Kingwood's
= 1r + 20
= 1(5) + 20
=25
At Anita's
= 3r + 10
= 3(5) + 10
= 15 + 10
= 25
5 roses costs $25 at either florist.
Quintin raked his customer’s lawn for 1.2 hours. If Quintin charges $20 per hour, how much money did he make?
23.9 dollars I believe (I needa waste characters thi)
if molly needs to cross a river 16 feet wide how long does she have to walk
Molly has to walk for 16/x minutes where x is the speed of molly.
What is the speed of an object?Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time
Given here molly needs to cross a river 16 feet then let her speed be x and t be the time taken to cross the river
Then we have x=16/t
t=16/x
Hence, Molly has to walk for 16/x minutes where x is the speed of molly.
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Write the product of 0.4*0.4*0.4 in exponential form
Answer:
It is 6.4*10^-2.
this is your answer
Ubehebe Crater in Death Valley has a diameter of a little more than mile. If Latisha walks around its
rim at a rate of 2 miles per hour, about how long will it take her to walk all the way around the crater? Find your
answer to the nearest tenth. Use 3.14 for pi
On solving the provided question we can say that the it will 4 hrs to walk all the way around the crater, on doing the radius.
what is radius?The length of a circle or sphere, in more contemporary use, is the same as its radius in classical geometry, which is one of the line segments from its center to its circumference. The Latin word radius, which also refers to the spokes of a wagon wheel, gave rise to the term. The distance a circle's center is from any point on its perimeter is its radius. Usually, "R" or "r" is used to indicate it. A radius is a line segment that has one endpoint in the center and one on the circumference of a circle. Circular diameter equals radius The diameter of a circle is the segment that traverses its center and has ends that are on the circle. Diameter
here,
D= 1
r = 1/2 = .5
A = 40
T = 40/10 4 hrs.
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Help me with this PLEASE!!!!
Answer:
Corresponding Parts of Congruent Triangles are Congruent.
ASA
Step-by-step explanation:
We know that <YPC and angle <YPX are congruent angles. They are both 90°.
Side YP is congruent to YP, so these sides are congruent in both triangles.
<XYP and <YPZ are congruent, because the perpendicular bisector cuts <XYZ in two equal parts.
ASA (Angle, Side, Angle)
An engine spins a wheel with radius 5 inches at 800 rpm. How fast is this wheel spinning in miles per hour?
The wheel is spinning at 23.80 miles per hour
How determine how fast the wheel spinning in miles per hour?The wheel speed in miles per hour can be calculated using the expression below:
Speed in miles per hour = Wheels RPM × 2 × π × r × (60 / 63360),
where r is the radius of wheel , 60 converts minute to hour and 63360
converts inches to miles
Speed in miles per hour = 800 × 2 × π × 5 × (60 / 63360)
Speed in miles per hour = 23.80 miles per hour
Thus, the wheel spins at 23.80 miles per hour
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16^x^2
= 8⁰
I’ll put a picture of it so you can better understand it. Also I’ll give you 30 points, so one of you better answer by 10:00 tomorrow.
Answer:
x=0
Step-by-step explanation:
[tex]16^{x^2}=8^0\\\\16^{x^2}=1\\\\x^2\ln(16)=0\\\\x^2=0\\\\x=0[/tex]
if 6p = 120 what is p
Answer:
p = 20
Step-by-step explanation:
120 divided by 6 would = 20
Answer: p = 20
Step-by-step explanation:
120/6=20
6x20=120
(50 points) Need help asap (2nd and 3rd option are wrong)
The correct way to represent this end behavior is,
x ⇒ ∞, y ⇒ - ∞ and as x ⇒ - ∞, y ⇒ ∞.
What is the end behavior of a polynomial?A polynomial function's final behavior is how its graph behaves as x gets closer to positive or negative infinity.
The graph's final behavior is determined by a polynomial function's degree and leading coefficient.
By observing the graph when x is approaching negative infinity y is approaching positive infinity.
And, when x is approaching positive infinity y is approaching negative infinity.
This can be symbolically expressed as,
x ⇒ ∞, y ⇒ - ∞ and as x ⇒ - ∞, y ⇒ ∞.
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the point (2, 6) is located on a line with slope of 3. which point could also be located on the line?
Answer
using y = mx+c
where m is the slope and c
6 = 3(2)+c
6 = 6 + c
c= 0
Y-intercept is where the line passes through the y-axis, which is where x = 0
So, when x = 0, y = 0
Another point on the line, then, is {0,0}
Directions: Determine whether each relation is a function. Explain your answer.
X
12)
10)
#IN
13)
x
14)
15)
10
1
Therefore ,We can infer the following from the rule for when a relation represents a domain and range : 16) Is not a function. 18) Is not a function, while 17) Is one.
What is a domain?The domain of a function is the set of possible values that it can accept. The x-values of a function like f are represented by these numbers (x). A function's domain is the set of possible values on which it can be used. This set is the value that the function returns after the insertion of the x value. Y = f is the definition of a function with x as the independent variable and y as the dependent variable (x). A value of x is said to be in a function's domain if it can be successfully used to produce a single value of y by using the value of x.
Here,
we have that for this issue:
It is not a function in item 16 since input 5 is translated to outputs 2 and 4.
Item 17 is a function since each input is assigned to a single output.
It is not a function in item 18 since input -2 is mapped to outputs 13 and 15.
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