Answer:
The algebraic expression will be:
8-6n = 5+nStep-by-step explanation:
Given the statement in English words
''8 less than the product of 6 and a number is the same as 5 more than the number''.
Let us break down the statement into an algebraic expression
FIRST PART
Let 'n' be the number
In Mathematics, product means multiplyso
The product of '6' and a number 'n' = 6n
∵Because 6 is a coefficient and n is a variable
now
8 less than the product of 6 and a number 'n' will be: 8-6n
2ND PART
5 more than the number 'n' means we need to add '5' into a number 'n'
i.e
5+n
COMBINE STATEMENT
Thus, the combined statement ''8 less than the product of 6 and a number is the same as 5 more than the number'' can be written as:
8-6n = 5+n
Thus, the algebraic expression will be:
8-6n = 5+nVERIFICATION:
Let us verify by finding the value of n
8-6n = 5+n
8-5 = 7n
7n = 3
n = 3/7
substituting n=3/7 in the equation
8-6n = 5+n
8 - 6(3/7) = 5+(3/7)
38/7 = 38/7
TRUE
Thus, the equation is true.
A motorboat moves across a lake at a constant speed. When it begins, it is 48
km from the shore. After 10 minutes, it is 18 km from the shore. Which
function describes the motorboat's distance from the shore?
O A. y = 10x+48
B. y=-3x + 48
O c. y=-10x + 48
O D. y = 3x + 48
Answer:
b
Step-by-step explanation:
The function describes the motorboat's distance from the shore is y=-3x + 48. So, the correct option is B.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Given that, a motorboat moves across a lake at a constant speed.
Let x be the number of minutes and y be the total distance.
When it begins, it is 48 km from the shore.
Now, (x₁, y₁) =(0, 48)
After 10 minutes, it is 18 km from the shore.
So, (x₂, y₂) =(10, 18)
We know that, Slope(m) =(y₂-y₁)/(x₂-x₁)
= (18-48)/(10-0)
= -30/10
= -3
Substitute, (x, y)=(0, 48) and m=-3 in y=mx+c, we get
48=-3(0)+c
c=48
Substitute, c=48 and m=-3 in y=mx+c, we get
y=-3x+48
Therefore, option B is the correct answer.
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what is the measure
Answer:
Step-by-step explanation:
t+t+10+t+20=180
3t+30=180
3t=180-30=150
t=150/3=50
t+20=50+20=70
exterior angle=180-70=110°
Please help me solve ASAP
Answer:
Step-by-step explanation:
first just look at the graph
its very obvious its a linear graph because it is going up in a straight line at a steady pace
so we can then just ignore the answers that say its not a linear function
then since its straight and not curved (curved graphs or parabolas are found when x has an exponent) its obvious it cant be one of the equations with x^2
so we are left with one the final answer
its equation is y = x + 2 and it is a linear function
hope this helps <3
20356000000000000 scientific notation
Answer:
2.0356 × 1016
Step-by-step explanation:
Which of the following is a linear function?
A
y=2/x + 11
B. 2
y=x + 6
C
y=1/2 (x-9)
Answer:
y=x+6
Step-by-step explanation:
A linear equation is an equation of a straight line, which means that the degree of a linear equation must be
0
or
1
for each of its variables. In this case, the degree of variable
y
is
1
and the degree of variable
x
is
1
.
Which of the following terms describes the 3 in the expression 3x+7
Answer:
3
Step-by-step explanation:
How many solutions are there to: 8x + 7 = 7 + 8x.
Answer: X make the equation true
Step-by-step explanation:
A model airplane is 18 centimeters long. If the actual airplane is
60 meters long, what scale was used to create the model.
QUICK PLZ ILL GIVE BRAINLIEST
Answer:
13 so yeah it correect
25 = 4x - 7, then x=
Answer:
x=8
Step-by-step explanation:
25=4x-7
+7 +7
32=4x
32/4 4x/4
8=x
Find the absolute maximum value of the function
Answer:
find ity yourself -_______________-
Step-by-step explanation:
ASAP please help me I need this quick
The question and answers are in the picture
Henry owns seven dogs each day splits 13 cans of dog food equal among the dogs what is the number of cans of dog food that each dog gets in one day?
Answer: 1.8 cans
Step-by-step explanation:
Answer:
1.85 cans of dog food.
Step-by-step explanation:
You need to divide 13 cans by 7 dogs.
BRAINLIST SOFAST IF U HELP ME
Answer:
?
Step-by-step explanation:
?
what the last person said
Find the value of c -(x-5)(x+c)=x^2+2x-35
Answer:
Erm
Step-by-step explanation:
I think not
Answer:
c= ( 2 x + 7 ) ( x − 5 ) / 6 − x
Step-by-step explanation:
what is 1/5 x 5 1/3? help please
Answer:
1 1/15
Step-by-step explanation:
(I think)
And I am not a very good explainer
(sorry)
harrison spent 1 and 1/2 hours hiking 3/4 hours swimming and 1 1/3 hours fishing during his last camping trip. in total, how many hours did he spend doing there?
Answer:
5 11/12 hours
Step-by-step explanation:
Make your common denominators 12. then when you add up you get 5 11/12.
Hope this helps and good luck :)
An insurance company offers a term life insurance policy with a renewable premium. The first year premium is $900. If the premiums increase 5.5% each year, how much will her premium be in 7 years? A $1,286 B $1,241 C $1,308 D $1,416
Answer:
The answer is B
Step-by-step explanation:
If first year premium is $900 and the premiums increase 5.5% each year then the premium be in 7 years is $1308
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
An insurance company offers a term life insurance policy with a renewable premium.
The first year premium is $900
The premiums increase 5.5% each year,
[tex]A=Pe^r^t[/tex]
5.5%=5.5/100 =0.055
[tex]A = 900(e)^0^.^0^5^5^\times^7[/tex]
[tex]A=900e^0^.^3^8^5[/tex]
A=900×1.46
A=$1308
Hence, if first year premium is $900 and the premiums increase 5.5% each year then the premium be in 7 years is $1308
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two football players start running towards each other each other from the opposite ends of a 100- yard football field. The faster player runs at a rate of 30 feet per second. The slower player runs 20 feet per second. After how many seconds will they collide
Answer:
600
Step-by-step explanation:
Multiply both numbers by 12.
240
360
Ed is on a road trip. He has already traveled 206 miles and is driving at a rate of 66 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 636 total miles?
Answer:
B 66x+206=636
Does this scatter plot show a positive trend, a negative trend, or no trend?
Answer:
no trend
a positive trend would start in the bottom left and go toward the top right
a negative trend would start at the top left and go town the bottom right
this is an example of no trend
Step-by-step explanation:
a "trend" shows an increasing or decreasing relationship between the x and y values, in this they don't have any sort of relationship. you can tell by the repeating y values for multiple different x-values, or the repeating x-values for multiple different y-values.
100 points! help please I need this
Answer:
5/4 is rational , 100 square root is irrational , 7.3 rational , 0.00247 is rational , 4/9 square root is irrational ,2/24 square root is irrational and 0.01 is rational :)
What is -6 (-4y + 8)
Answer:
24y-48
btw just downloaded a app called YHomework it shows the steps
25 points for correct answer and giving brainliest
Answer:
y=20x + 4
x = 6 (max amount)
20(6) = 120
120 + 4 = 124
Max of 124.
y=20(0) + 4
y = 4
Min of 4.
Range
4<y<124 ; {4, ... , 124}
G
PLEASE HELP MULTIPLE CHOICE i’ll mark brainliest i also added extra points !!
The ratio of the number of boys to the number of girls in the cast of a school play is 1:5 which statement must describe the cast of the play
Answer:
We have 3 boys and 2 girls. This gives a total count of 5. So we need to see how many lots of 5 will fit into 25. 5 lots of 5 gives 25. So we have 5 lots of the ratio
The book store is having a sale. Every book is $5 off, regardless of the original price.
The sale price for every book is $5 less than the original price.
Let x = original price
Let y = sale price
Which equation represents this situation?
A. y = × + 5
B. y = × - 5
C. y = 5x
D. y = × ÷ 5
Answer:
y=x-5
Step-by-step explanation:
sale price (y) is equal to the original (x) minus five dollars
Answer:
y = x - 5
Step-by-step explanation:
I took the test on A P E X
Abigail invested $29,000 in an account paying an interest rate of 2.1% compounded continuously
Answer:
6090
Step-by-step explanation:
A package of 5 pairs of insulated gloves costs $32.45. What is the unit price of the pairs of gloves ?
Answer:
$6.49?
Step-by-step explanation:
divide $32.45 by 5
PLEASE HELP ME i’ll mark brainliest ! i added some extra points too
We want to find all the solutions to the equation [tex]f(x)=0[/tex]. Wich means that we want to find all values of [tex]x[/tex] such that [tex]y=0[/tex] (recall f(x)=y).
By looking at the graph, when does [tex]y=0[/tex]? That's right, exactly over the X axis!
The solutions to the equation are the X coordinates where the graph crosses the X axis.
They are -5,-2 and 4.
which is the estimate quotient for 530÷9
Answer:
55
Step-by-step explanation:530 would be rounded to 550 and 9 would be rounded to 10
550 divided by 10 is 55
Pls give me brainliest if this helps