Answer:Answer:
the added person age is 26
Step-by-step explanation:
let the added person age is A
the six person mean is (23+19+12+21+13+A)/6=19
=> 88+A/6=19
=>A=(19×6)-88
there fore A=26
Answer:
39
Step-by-step explanation:
13 + 13 + 19 + 23 + 19 + x = 21
6
Combine like terms
(87 + x) / 6 = 21 Multiply both sides by 6
(87 + x ) = 21 * 6
87 + x = 126 Subtract 87 from both sides
x = 126 - 87
x = 39
The 6th person entering the room was 39
A student buys 10 notebooks and 10 pencils at the school store. Each notebook cost $2. The total cost is $30. Which equation can be used to find the cost, p, of each pencil?
A submarine must descend at an average rate of at least 12 feet per minute for 5 minutes. The table shows how many feet the submarine descends
in the first 4 minutes. How many feet must the submarine descend in the fifth minute?
Submarine must descend 17 feet in the 5th minute.
What is the average of the data?
Only numerical variables, whether continuous or discrete, can be used to calculate the mean. It is calculated by merely dividing the total number of values in a data set by the sum of all the values in the data set. A frequency table of data or raw data can both be used for the calculation.
Let the distance descended by submarine in 5th minute = x feet
Average distance descended by the submarine
= (Total distance distended/ Duration or time)
= (6 + 8 + 14 + 15 + x) / 5
= (43 + x) / 5
Statement given in the question → "Submarine must descend at an average rate of at least 12 feet per minute"
So the inequality for the statement will be,
(43 + x) / 5 ≥ 12
43 + x ≥ 60
x ≥ 17
Therefore, submarine must descend 17 feet in the 5th minute.
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6. Six people are running a race. In how
many different ways can they finish first and
second?
A. 2
B. 12
C. 30
D. 36
Answer:
a
Step-by-step explanation:
Answer:
a2
Step-by-step explanation:
Evaluate 3x2 – 9 when x= -2.
Answer:
3(-2)2-9
-12-9
-21
Step-by-step explanation:
×=-2 so -2×3=-6 which is -6×2=-12
and we have -9
soo -12-9=-21
Which rational number equals 0.3 with line on top? (5 points)
1/3
1/5
3/10
3/5
Answer:
1/3
Step-by-step explanation:
The area of a rectangle is 342 square units. Its length measures 19 units. Find the
length of its diagonal. Round to the nearest tenth of a unit.
pen
Answer:
Step-by-step explanation:15.6
A family of 3 children and 2 adults visited a health club. The club charges sy an hour for each child and $x an hour for each adult. If the family does not want to spend more than $30 an hour at the health club, which of the following graphs best models the situation? Your answer: 16 14 12 10 O 2 2 8 10 12 14 14 12 4 2. + -2 -2 2 4 6 8 10 12 14 10 10 14 101214 a O 2 2 4 8 101214 -2
We have inequality. So, we have to take a test point (0,0) and as the statement is true therefore Graph will shade towards the test point (0,0).
2(0)+3(0) ≤ 30 => 0≤ 30
What is inequality?An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.
A family of 3 children and 2 adults visited a health club. The club charges $y an hour for each child and $x an hour for each adult.
First we make inequality according to question.
In a family number of children 3
Charge for 1 child = $y per hour
Charge for 3 children = 3y
Charge for 1 Adult = $x per hour
Charge for 2 adults = 2x
If the family does not want to spend more than $30 an hour at health club.
2x+3y≤30
Where, x and y should be greater than 0.
x≥0 and y ≥0
Now we make the graph of this inequality.
First we take equality of equation and then find x and y table.
2x+3y=30
x y
0 10
6 6
15 0
Here we have inequality. So, we have to take a test point (0,0)
2(0)+3(0) ≤ 30 => 0≤ 30
This statement is true. So, Graph will shade towards the test point (0,0)
Please see the attachment for graph:
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Expand the expression 6(z+x+y)
Answer:
6z + 6x + 6y
Step-by-step explanation:
Just distribute the 6 and multiply them to all variables.
someone pls help :(
Find the equation of the line
Answer:
y=3x+3
Step-by-step explanation:
The y-intercept is at 3.
If you do rise over run, you get 3/1. Simplify to 3. Hope this helps.
if 15 mL of glue is needed to make 6 oz. of slime, how many mL of glue is needed to make 10 oz. of slime
Answer:
25mL
Step-by-step explanation:
15/6=2.5ml/oz
10x2.5=25mL
put the following equation in slope intercept form: -4x -5y=-10
[tex]\blue{\boxed{\boxed{\sf\blue{HELP ME PLEASE}}}}[/tex]
Answer:
The completed two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
1. AC bisects ∠A and ∠C [tex]{}[/tex] 1. Given
2. ∠ACB ≅ ∠ACD [tex]{}[/tex] 2. Definition of bisector
3. ∠BAC ≅ ∠DAC [tex]{}[/tex] 3. Definition of bisector
4. [tex]\overline {AC}[/tex] = [tex]\overline {AC}[/tex] [tex]{}[/tex] 4. Reflexive PE
5. [tex]\overline {AC}[/tex] ≅ [tex]\overline {AC}[/tex] [tex]{}[/tex] 5. Segments with equal lengths are congruent
6. ΔABC ≅ ΔADC [tex]{}[/tex] 6. By ASA
Step-by-step explanation:
The completed two column proof is presented as follows;
Statement [tex]{}[/tex]
1. AC bisects ∠A and ∠C; The given data on the figure
2. ∠ACB ≅ ∠ACD;[tex]{}[/tex] A bisected angle is divided into two equal angles which are congruent to each other
3. ∠BAC ≅ ∠DAC [tex]{}[/tex] 3. Definition of bisector
4. [tex]\overline {AC}[/tex] = [tex]\overline {AC}[/tex] [tex]{}[/tex] 4. Reflexive Property of Equality (PE)
5. [tex]\overline {AC}[/tex] ≅ [tex]\overline {AC}[/tex] [tex]{}[/tex] 5. Segments with equal lengths are congruent
6. ΔABC ≅ ΔADC [tex]{}[/tex] 6. By Angle-Side-Angle, ASA, is a condition for congruency of two triangles
Where two angles and the included side between the two angles on one triangle are equal to two angles and the included side between the two angles on another triangle, the two triangles are said to be congruent by the Angle-Side-Angle ASA rule and therefore, they each have equal measures for all corresponding angles sides.
please help i need this in asap!!!!!!!
Answer:
366.16
Step-by-step explanation:
area to paint = (10 x 6 x 2) + (10 x 2 x 2) + (6 x 2 x 2) = 184 m²
184 x 1.99 = 366.16
What is the z-score for the mean?
This is because the mean is at the very center of the normal distribution. The center is at 0, with positive values on the right and negative values on the left.
Something like z = 1 means we're 1 standard deviation above the mean. As another example, z = -3 means we're 3 standard deviations below the mean.
⎆ The value of the z-score will tell how many standard deviations the person is away from the mean.
➟ If a z-score is equal to 0, then it will be on the mean. So, z-score for the mean is 0.
Formula:[tex] \\ z = \frac{(x-μ)}{σ} [/tex]
✐ Where,
z = standard scorex = observed value / raw scoreμ = mean σ = standard deviationpleaassee help me i'll mark u if u give me the right answersss
Step-by-step explanation:
1.
A.Company T
B.Company A
C.At 20 minutes
2.
A.Tells you the rate of calling minutes
B.Its free.
C. Company K as it's free for the first five minutes.
450 yards in 15 minutes (show work) (find the unit rate)
Answer:
30 yards per minute
or
150 feet per minute
Step-by-step explanation:
450/15 = 30
can i have brainliest please?
Solve by using substitution. x+2y=−1 x=y+5
Answer:
Step-by-step explanation:
the first equation we konw x=-2y-1,
then -2y-1=y+5
so, y = -2, x=3
Answer:
y = -2
x = 3
Step-by-step explanation:
y + 5 + 2y = -1 (substitute)
3y + 5 = -1 (Simplify)
3y = -6 (Get rid of 5)
y = -2 (Divide)
x = -2 + 5 (plug in y)
x = 3 (simplify)
hope this helps :)
heyy! i’ll give brainliest help asap pls
Answer:
I'm not sure if its A or C but C sounds like it could be the right answer
Step-by-step explanation:
Answer: Planting vegations near riverbanks
Step-by-step explanation:
because everything else is harmful to the earth .-.
A train moving at a constant speed travels 325 mi in 8 hr. At this rate, how many miles does the train travel in 12 hr?
ANSWER ASAP!!!
Answer:
Step-by-step explanation:
In 12 hours, the train will travel 487.5 miles
8/325=40.625
40.625 x 12 = 487.5
A rectangle has 4 lines of symmetry.
true or false
Y+W-2asquared
W=400 a=5 work out the value of y
A school administrator asks each student if they participate in a sport and if they participate in a club. The results are shown below.
Participates in a Sport
Yes No Total
Participates in a Club Yes 620 450 1070
No 325 535 860
Total 945 985 1930
What percentage of students do not participate in a sport?
27.7%
44.6%
51.0%
62.2%.
answer is 51.1
The percentage of students who do not participate in a sport is C. 51.0%.
How to calculate the percentage?To find the percentage of students who do not participate in a sport, we can use the following formula:
(Number of students who do not participate in a sport) / (Total number of students) * 100%
From the table, we can see that the number of students who do not participate in a sport is 985, and the total number of students is 1930. So, plugging these values into the formula gives us:
= 985 / 1930 * 100%
= 51.03%
So, about 51.03% of students do not participate in a sport.
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A bag contain 27 ball. The ratio of red to blue to yellow ball i 6:1:2 find how many red, blue and yellow ball there are
On solving the provided question we can say that by linear equation number of, Red Balls = 6x 18; Blue Balls = 3; Yellow Balls = 6
What is a linear equation?A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
A bag contains 27 balls
• The ratio of red to blue to yellow balls is 6:1:2
To Find : The number of red,blue and yellow balls present in the bag
Let us take the variable as 'x' to represent the number of balls in the bag
When we Put the values in a equation,
6X+X+2x = 27
9x = 27
x = 3
Hence the number of,
Red Balls = 6x 18
Blue Balls = 3
Yellow Balls = 6
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Is he correct? Explain why or why not.
Answer:
I think he's correct
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
He has to multiply the exponents not add them.
What is the value of a in the functions equation?
A. -3
B.2
C.3
D.-2
Answer:
Im guessing -2
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
write an equation for a line passing through the point (1, 3) that has a slope of -2
Given :
A line passing through the point (1, 3) that has a slope of -2.
To Find :
The equation of such line.
Solution :
Let, the equation of line is :
y = mx + c
Here, m is slope i.e m = -2 and c is y-intercept.
So,
y = -2x + c
It is also given that the line passes through (1, 3).
3 = -2× 1 + c
c = 5
Therefore, the equation of line is y = -2x + 5 .
If the 13th term in a linear sequence is 92 and the 28th term in the sequence is
152, what is the 6th term in the sequence?
Answer:
64
Step-by-step explanation:
As the sequence is linear the rate of increase stays constant as we can see from the formula: [tex]S_n=mn+i[/tex] so it increases by m every term. In this all we do is subtract 13 from 28 to find the number of terms in between:
28-13=15
now we find the difference between 152 and 92
152-92=60
now we divide 60 and 15
60÷15=4
So M is 4 meaning every term has a difference of 4.
So now we can subtract 6 from 13:
13-6=7
Then multiply the difference per term (4) by 7
4×7=28
Finally we subtract 28 from 92 (13th terms value)
92-28=64
Marco's mom gave him d dollars for his allowance one week. He also earned $ 14.55 dollar sign, 14, point, 5 for his newspaper route that week.
The total amount of money that Marco has that week would be = $ d + 14.55.
What is an allowance income?An allowance income is defined as the amount of money an individual earns that can be used to solve their personal needs.
Marco received double payment, an allowance from the mother and from newspaper route.
The total amount of money received from his mother for allowance for that same week = $ d
The amount of money he earned from his newspaper = $14.55
Therefore the total amount of money Marco has that week =$ d + 14.55
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Complete question:
Marco's mom gave him d dollars for his allowance one week. He also earned \$14.55$14.55dollar sign, 14, point, 55 for his newspaper route that week.
How much money does Marco have?
Write your answer as an expression.
use the pythagorean theorem to find the value of a.
Answer:
a = 5
Step-by-step explanation:
Using Pythagoras' theorem in the right triangle
a² + 12² = 13²
a² + 144 = 169 ( subtract 144 from both sides )
a² = 25 ( take the square root of both sides )
a = [tex]\sqrt{25}[/tex] = 5
Answer:
pythagoras theorem formula
h^2=p^2+b^2
here hypotenuse is 13
you can take a as either perpendicular or base
lets take it base
h^2=p^2+b^2
(13)^2=(12)^2+(a)^2
169=144+a^2
169-144=a^2
25=a^2
[tex]\sqrt{25}[/tex]=a
5=a
Step-by-step explanation: