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.
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Answer:
55860
Step-by-step explanation:
This way super dupper easy
Answer:
V is approximately 11.81
Step-by-step explanation:
We use the sine rule
V/sin 98 = 10/sin 57
Cross multiply
V * sin 57 = 9.90268068
V = 9.90268068/sin 57
V= 11.80759295
V ~ 11.81
What is the measure of DA? 15 90 105 165
Answer:
D. 165
Step-by-step explanation:
if A+n=180
75+90+n=180
165+n=180
n=180-165
n=15
A+n=180
A+15=180
A=180-15
A=165 (D)
Find the slope of the line going through the points (-4, 3) and (-1,-6)
Answer:
[tex] \big \: slope = - 3[/tex]
Step-by-step explanation:
[tex] \boxed {slope = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} }[/tex]
HERE,
[tex]slope = \frac{( - 6) - 3}{( - 1) - ( - 4)} [/tex]
[tex] = \frac{ - 9}{3} [/tex]
[tex] = - 3[/tex]
Therefore,
[tex] \green{\boxed { \red{ \bold{slope \: = - 3}}}}[/tex]
multiple of 3 and 5 less than 47 but greater than 42....
Answer:
45
Step-by-step explanation:
45 > 42 but < 47 and it's a multiple of 3 and 5
Can u help me plz fast
Answer:
the answer is smallest to biggest
Step-by-step explanation:
PLEASE HELP ME
RALPH DID 165 jumping jacks last week. He did 237 jumping jacks this week. how many jumping jacks (j) did ralph do over these two weeks? write an equation then solve.
Answer: 402
Step-by-step explanation:
165 + 237 = j
Answer:
165+237= 402
Step-by-step explanation:
in one week he did 165 and in the second week he did 237, so you add them together to get the total.
equation: j= 165 + 237
If 2000 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
volume=------------cm^3
Answer:
8586.7cm^3
Step-by-step explanation:
We can denote the side of the base square as "x" in cm
We can also denote the height as "y" in cm
(x^2 * y) = V(x,y)
The surface area can be written as
(x^2 + 4xy = 2000)
We can make "y" as subject of the formula
4xy = 2000 - x^2
y=( 2000 - x^2)/ 4x----------eqn(*)
Substitute "y" into V(x,y)
(x*y)= x^2 * (2000-x^2)/4x = V(x)
We can divide the numerator by the denominator
y= x^2 (500/x - x/4)----------eqn#)
We can take the derivatives
V'(x)= 500 - 3/4x^2
If we set V'(x)=0 we have
500=3/4x^2
2000=3x^2
x^2=666.7
x=√666.7
x=25.8cm
From eqn(*)
y=( 2000 - x^2)/ 4x
y=(2000 - 25.8^2)/(4×25.8)
y=12.9cm
(x^2 * y) = V(x,y)
25.8^2 × 12.9
V(x,y)= 8586.7cm^3
Hence find the largest possible volume of the box is 8586.7cm^3
Write an integer for: A bank deposit of $175
Answer:
175
Step-by-step explanation:
A deposit is adding money to the bank, so the integer will be positive.
That makes our integer: 175
Help me please i beed this now
Answer:
well 5% of 600 is 30. so if you make 600 phone calls and an average of 5% of those calls are people signing up, then that would be 30.
4x + 2y = 32
5x - 2y = 31
Answer:
Step-by-step explanation:
-8x-y=16;3x-y=5 | | x-y=11;2x+y=4 | | -8x-8=-40y;50y-10=10x | | 0=-11y+8x+33;-1+4/9x+1/3y=0 | | 0=-16+4x+4y;0=28-7y+7x | | 3x-y=9;-3x+y=-9 | | -4x+y=8;4x-y=8 | | x=2y-8;-2x+3y=14 | | y=2x;y=2x-3 | | x-3y=2;7x+y=36 | | 2x+5y=16;2x+3y=8 | | 2c+5p=16;2c+3p=8 | | x/5;7/4 | | -(x-2)=3(y+1);2x+3=4y-1 | | 4x-12y=17;2x+6y=1 | | 1A+4C=85;3A+2C=105 | | 2x-11y=7;3x-9y=7 | | 40-2x;X=3 | | x+y=220;2x+4y=520 | | 3p+2b=29;5p+3b=47.50 | | 4x+2y=23.50;2x+4y=18.50 | | t=2r+3;5r-4t=6 | | x+y=5157.50;y-x=917.50 | | x+y=177;x=97 | | x+y=55;x+10=181 | | x+y=10;x-y=4 | | 1/5x+1/3y=14/15;1/5x+4y=78/5 | | 8x+16y=3520;-8x-8y=2560 | | 1/25x-1/100y=7/5;1/4x+4/25y=66/5 | | -2x+5y=5;-4x+10y=0 | | 1/2x+1/3y=-5/3;1/2x+4y=2 |
| 3x+2y=-3;x=21-8y | | 5x-y=27;x+y=9 | | 36x-4y=16;y=9x+4 | | -15x-10y=1;15y=1+10x | | 3x+7y=9;x=2-2y | | 2x+y=8;y=2x | | x-2y=10;x | | x+y=2;x-y=2 | | 7x-y=27;9x-4y=3 | | x+y=480;x-y=400 | | 3x+2y=78.39;2x+3y=74.61 | | 11x+15y=6912;-11x-11y=-6336 | | 1.6x+1.6y=160;x-y=10 | | y=-1/2x-5;6x-2y=24 | | x+y=4;y-x=4 | | 5x=22-y;7x=35+2y | | 3x=12+2y;-6/5x+y=-9/5 | | 3x+2y=0;12x+2=6y | | 2x-5y=-9;5x+2y=50 | | x+y=4;x+y=-2 | | 7x-y=41;x+5y=47 | | 2x-y=7;9y=2x-31 | | x+y=11;6x-y=10 | | 0.1x+0.5y=-0.8;0.8x-0.6y=7.4 | | 1/3x+1/2y=1/6;1/3x+2y=5/3 | | 16x-10y=4;8x=5y+2 | | 15x-20y=7;10y=-3+5x | | x=5y-5;-2x+10y=10 | | 5x-27=-y;4x-y=0 | | 5x-27=-1y;4x-1y=0 | | 4x+5y=3;x=3-2y | | 6x+2y=10;12x+4y=21 | | x+y=5;3x+2y=10 | | -12x+14z=-14;-14x-14z=98 |
Muffins are sold in packages of 18. Select the expressions that can represent the total number of muffins in p packages of muffins.
A. 18 + p
B. 18 × p
C. 18 – p
D. 18 ÷ p
E. 18p
I need help on this
how many times does 12 go into 60?
Answer:
5 times
Step-by-step explanation:
Answer the following question
Answer:
f(-8) = 54
Step-by-step explanation:
To start, replace x in the equation with -8. This will give you f(-8) = 6(1 - (-8)) which can be simplified to f(-8) = 6(1 + 8). Apply the distributive property on the right side of the equation to get f(-8) = 6 + 48. When simplified, you get f(-8) = 54.
identify the independent variable in this situation:
the amount you sleep at night determines the amount of energy you have during the day.
giving 15 points
SCATTER PLOT RELATIONSHIP
Answer:alla
Step-by-step explanation:
Answer: As the time spent training increases, the time to run 100m decreases.
Step-by-step explanation:
The scatterplot shows a negative correlation. Thus, as x increases, y decreases. Since x is training time and y is 100m time, the second option would be the appropriate response.
Use the order of operations to simplify 8.6 - 4.2+ 3/10
Answer:
4.7
Step-by-step explanation:
Answer:
if you are on the exam on A PE X, the answer is 9/10
Step-by-step explanation:
hope this helps!!
:)
If the decision is to reject the null hypothesis of no difference between two population proportions at the 5% level of significance, what are the alternative hypothesis and rejection region?
Answer:
The alternative hypothesis is
[tex]H_a : p_1 \ne \ p_2[/tex]
The rejection region is the region outside the interval
[tex]-1.96 < z_{critical} < 1.96[/tex]
Step-by-step explanation:
From the question we are told that
The significance level is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : p_1 = p_2[/tex]
The alternative hypothesis is [tex]H_a : p_1 \ne \ p_2[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Hence the rejection region is the region outside the interval [tex]-1.96 < z_{critical} < 1.96[/tex]
The alternative hypothesis is, [tex]H _a; \ P_1\neq P_2[/tex] .
And the rejection region is the region outside the interval is [tex]-1.96< Z_c_r_i_t_i_c_a_l <1.96[/tex] .
Given that,
If the decision is to reject the null hypothesis of no difference between two population proportions at the 5% level of significance.
We have to determine,
What is the alternative hypothesis and rejection region?
According to the question,
The significance level is, [tex]\alpha = 5 \ percent = 0.05[/tex]
The null hypothesis is [tex]H_0 ; P_1 = P_2[/tex]
The alternative hypothesis is, [tex]H _a; \ P_1\neq P_2[/tex]
In the normal distribution table, the critical value [tex]\dfrac{\alpha}{2}[/tex] is,
[tex]Z _\frac{\alpha}{2} = 1.96[/tex]
Hence, the rejection region is the region outside the interval is [tex]-1.96< Z_c_r_i_t_i_c_a_l <1.96[/tex] .
To know more about the Hypothesis click the link given below.
https://brainly.com/question/21620502
The population of Whoville is given by the LaTeX: y=56,000\left(1.03\right)^xy = 56 , 000 ( 1.03 ) xwhere x is the years since 2010.
a) What was the population in 2010?
b) What is the population in 2020?
c) When will the population reach 100,000?
Answer:
Step-by-step explanation:
(a) 56000*1.03^0 = 56000
(b) 56000*1.03^10 = 75259
(c) 56000*1.03^x = 100000
1.03^x = 1.7857
x = 19.6
So that will happen in the 2nd half of 2029
what is the slope on
Answer:
take a pic of the graph
Step-by-step explanation:
The measures of the angles of a triangle are show In figures below Solve for x.ASAP
A used automobile dealership recently reduced the price of a used compact car by 10%. If the price of the car before discount was $18,100, find the discount and the new price.
Answer:
The discounted price would be 16290 as 18100 times 10 over 100 is 1810 so subtract that from 18100 and you get 16290
Step-by-step explanation:
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A box of 6 glue sticks costs $8.95. How much will it cost to buy 5 glue sticks?
Zucchini weights are approximately normally distributed with mean 1.2 pound and standard deviation
0.27 pound. What is the probability that a zucchini weights less than 1 pound?
Answer:
The one with u-o, u, u+2o
Step-by-step explanation:
what is the midpoint of the segment shown below ?
A card is randomly selected out of a standard 52 deck of cards. What is the probability of selecting a queen or a
heart?
Leave your answer as a fraction in lowest terms
What is 2 divided by 1/7
Answer:
The answer is 14
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
Complete the multiplication and the equation becomes
The two fractions now have like denominators so you can add the numerators.
there....
The solution of the expression ''2 divided by 1/7'' is 14.
Used the concept of the divide that states,
The division method is used to distribute a group of things into equal parts. The division is just the opposite of multiplications.
Given that,
2 divided by 1/7
Now it can be written as,
2 divided by 1/7
[tex]2 \div \dfrac{1}{7}[/tex]
[tex]2 \times 7[/tex]
[tex]14[/tex]
Therefore, the solution of the expression is 14.
To learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ6
find the slope of the line that contains (-2,-2) and (-10,-9)
Answer:
[tex] \huge \frac{7}{8} \\ [/tex]
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
From the question we have
[tex]m = \frac{ - 9 - - 2}{ - 10 - - 2} = \frac{ - 9 + 2}{ - 10 + 2} = \frac{ - 7}{ - 8} = \frac{7}{8} \\ [/tex]
We have the final answer as
[tex] \frac{7}{8} \\ [/tex]
Hope this helps you
Answer:
7/8
Step-by-step explanation:
A rectangular pool has a perimeter of 72 feet. The equation below shows
the relationship between the length, L, and the width, W, of the pool.
2L + 2W = 72
The width, W, of the pool is 12 feet. What is the length, L, of the pool?
A. 25 feet
B. 24 feet
C. 22 feet
D. 12 feet
Answer:
2L + 24 = 72
2L = 72-24
L = 48 ÷ 2
= 24 feet
Lisa has scored 24, 21, and 20 points in her three basketball games so far. How many points does she need to score in her next game so that her average
(mean) is 21 points per game?
Explanation
Check
She needs to score AT LEAST 19 points
Step-by-step explanation:
24 + 21 + 20 + 19 = 84
84 ÷ 2 = 21