Answer:
The age of E is 40
Step-by-step explanation:
When E didn't join them, the average age was 30,that is six years ago. But present making 36.
But when E joined, the average age is now 40.
Answer:
E is 56 years old
Step-by-step explanation:
I assume E joined them now.
(A - 6 + B - 6 + C - 6 + D - 6)/4 = 30
(A + B + C + D + E)/5 = 40
(A + B + C + D - 24)/4 = 30
A + B + C + D - 24 = 120
A + B + C + D = 144
(A + B + C + D + E)/5 = 40
A + B + C + D + E = 200
144 + E = 200
E = 56
Consider these four statements about a line that passes through two points on a plane.
Statement A: The lines on a different plane from the points.
Stament B: The line lies in only one plane.
Statement C: The line is on the same plane as the points.
Statement D: The line passes through only one plane.
Which statement is true?
Answer:
4
Step-by-step explanation:
39. a(x + 3) < 5x + 15 - x
Answer:
x < [tex]\frac{15-3a}{a-4}[/tex]; a > 4
a < [tex]\frac{4x+15}{x+3}[/tex]
Step-by-step explanation:
ax+3a < 4x + 15
ax - 4x < 15 - 3a
x( a -4) < 15 - 3a
x < [tex]\frac{15-3a}{a-4}[/tex]
ax + 3a < 5x + 15 -x
ax + 3a < 4x + 15
a( x + 3) < 4x + 15
a < [tex]\frac{4x+15}{x+3}[/tex]
Answer:
x < (15 - 3a) / (a - 4). ( only true if a > 4)
a < (x + 15)/x
Step-by-step explanation:
a(x + 3) < 5x + 15 - x
ax + 3a < 5x + 15 - x
ax - 5x + x < 15 - 3a
ax - 4x < 15 - 3a
x(a - 4) < 15 - 3a
Dividing both sides by (a - 4):
x < (15 - 3a) / (a - 4)
a < (x + 15)/x
Johnny has 304 apples, his sister ate 301 of them. How many apples does he have? After His sister ate the apples a magic fairy multiplied the apples by 281893.21 times. Now how many apples does Johnny have. After the faity multiplied the apples a demon can and divided the apples by pi * the square root of 9284. Now how many apples does Johnny have?
Answer:
1. John still has 3 Apples
2. John now has 845679,63 Apples (I'm not sure if you've written the number of the multiplying fairy right...).
3. If the * is multiplying:
John now has 25937228,2 Apples.
Step-by-step explanation:
Just use the calculator.
quadratics formula 4x^2+3x-1=0
Answer: X = 1/4 or X = -1
Step-by-step explanation:
4x2+3x−1=0
(4x−1)(x+1)=0
4x−1=0 or x+1=0
4x=1 or x=-1
Now divide 4 from both sides
like this 4x/4=1/4
now cancel out two 4's so the answer will be x=1/4
pls help me ASAP !!!!!!!!!
Instructions: Solve the triangle, find mA and mZC.
Step-by-step explanation:
mA=cosA=17/38
A=cos inverse of 17/38
A=63 degrees
Answer ASAP please!
………
Answer:
47.746, answer choice C
Step-by-step explanation:
47.746
What’s the coordinates for Y-3>2x+2 on a graph?
Divide. Write your answer in simplest form.
−0.18÷0.03=
HI THERE
the answer is -6
#YoghurtCup
ABC is a right-angled triangle. Angle B = 90. Angle A = 36. AB = 8.7 cm. Work out the length of BC. Give your answer correct to 3 significant figures.
Answer: About 6.321 cm
Step-by-step explanation:
[tex]tan(x)=\frac{opposite}{adjacent}[/tex]
[tex]tan(36)=\frac{x}{8.7} \\\\x=8.7*tan(36)=6.3209...[/tex]
4.
A line contains the points R (-5, -6) S (1, 5) and T (x, 10). Solve for x. Be sure to show and explain all work
Answer:
x is 3.[tex]\overline{72}[/tex]
Step-by-step explanation:
The given points on the line are;
R(-5, -6), S(1, 5) and T(x, 10)
The number of points required to find the equation of the line = 2 points
The slope, m, of the line using points R(-5, -6) and S(1, 5) is given as follows;
m = (5 - (-6))/(1 - (-5)) = 11/6
The equation of the line in slope and point form, using point S(1, 5) is therefore;
y - 5 = (11/6)·(x - 1) = 11·x/6 - 11/6
y - 5 = 11·x/6 - 11/6, given that the x-value is required, we have;
x = (y - 5 + 11/6) × 6/11 = 6·y/11 - 19/11
x = 6·y/11 - 19/11
At point T(x, 10), y = 10, therefore, we have;
x = 6×10/11 - 19/11 = 41/11 = 3.[tex]\overline{72}[/tex]
x = 3.[tex]\overline{72}[/tex].
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
A sample of 1000 U.S. pediatricians is taken to collect data on medicines used to treat children. The population in this study is ___________________.
A. all U.S. pediatricians
B. the children who are taking medicine
C. the medicine used to treat children
D. the 1000 pediatricians
Answer:
the awnser is d 1000 pediatricians
Factor completely, show work.
x² - 49
You want to pull out the square roots of each term since they are both perfect squares.
Factor using the difference of squares formula: a2-b2=(a+b)(a-b)
This formula allows the middle term to cancel out.
=x2 - 49
=(x + 7)(x - 7)
ANSWER: (x + 7)(x - 7)
Hope this helps! :)
Find the length of the side and area ot the square whose perimeter is given below a)44cm b)80cm
9514 1404 393
Answer:
a) 11 cm
b) 20 cm
Step-by-step explanation:
A square has four equal-length sides, so the perimeter is 4 times the side length. Then the side length is 1/4 of the perimeter.
a) s = (1/4)(44 cm) = 11 cm
b) s = (1/4)(80 cm) = 20 cm
HELP ME ASAP!!!
two angles are supplementary. one angle is three less than 4 times it's supplement. what are the measures of the two angles?
Step-by-step explanation:
Two angles are supplementary one angle is 4 degrees less than three times the other find the measures of the angles
x + y = 180
x = 3y - 4
3y - 4 + y = 180
4y = 184
y = 46
x = 134
Answer:
30°，150°
Step-by-step explanation:
Which function represents g(x), a refection of f(x)=1/2(3)^x across the y-axis
Answer: g(x) = (1/2)3^-x reflection over y axis yields (-x,y)
Bob is hired by Company A and is given an annual salary of $35 000 with a 10% raise
after 1 year. Sam is hired by Company B and is paid $3842.42 per month with a 5% raise
after 1 year. Determine the difference of salary after 1 year.
Step-by-step explanation:
Bob's salary : $35000 per year plus 10% after one year
100% = 35000
1% = 100%/100 = 35000/100 = $350
10% = 10×1% = 10×350 = $3500
so in total, his salary will be $35000+$3500 = $38500 after one year.
Sam's salary : $3842.42 per month plus 5% after one year.
100% = $3842.42 per month. but to make it comparable to Bob's salary, we need to calculate the annual salary.
so, 100% 12×3842.42 = $46109.04
1% = 100%/100 = 46109.04/100 = $461.09
5% = 5×1% = 5×461.09 = $2305.45
so, in total, his salary will be $46109.04+$2305.45 = $
help me
I need help please
Answer:
hhghhhhhhhhh
Step-by-step explanation:
yyyyjuiynrjdjf
Reflect triangle ABC across the line x = 2. Then the reflect (image) A', B' and C' across the line x = -3.
Answer:
The first reflection makes the points (1,1), (-1,1) and (1,4) and the second reflection changes THOSE to (-7,1) (-5,1) and (-7,4). Just connect the dots to make the triangle.
Let me know if anything did not make sense.
Step-by-step explanation:
Reflect just means how far away is each point to the line of reflection? then ake a new point the sae distance, but in the opposite direction. You always want to use a line that makes a right angle to the line of reflection too, so since x=2 and x=-3 are verticallines you are going to use horizontal lines to measure where A, B and C are.
So the three points are A:(3,1), B:(5,1) and C:(3,4)
Now use a horizontal line to measure how far A, B and C are from x=2.
A is 1 spance to the right of x=2, so A' (what A turns into) is 1 space to the left. so (3,1) becomes (1,1) The y value does not change since you are only using the horizontal direction for reflection. B changes fro (5,1) to (-1,1) and finally C changes from (3,4) to (1,4)
Now the second reflection is the exact same process, but witht he new points reflected across x = -3. So the new points are (-7,1) (-5,1) and (-7,4).
Evaluate ab+bc+ca . If a²+b²+c²=50 and a+b+c=12
Answer:
ab+bc+ac=47
Step-by-step explanation:
(a+b+c)=12
Square both sides
a^2+b^2+c^2+2(ab+bc+ac)=144
2(ab+bc+ac)=94
ab+bc+ac=47
Answer:
ab + bc + ca = 47
Step-by-step explanation:
Using the algebraic identity
(a + b + c) = a² + b² + c² + 2(ab + bc + ca) , then
12² = 50 + 2(ab + bc + ca)
144 = 50 + 2(ab + bc + ca) ← subtract 50 from both sides
94 = 2(ab + bc + ca) ← divide both sides by 2
47 = ab + bc + ca
which expression is equivalent to 2^5/6^5
Answer:
Step-by-step explanation:
I can't give you either B or D, but I can calculate the answer.
2^5
=====
(2^5)(3^5)
The 2^5s cancel out.
1
===
3^5
Another answer could be 3^-5
or
0.004115
Which number line shows the solution set for StartAbsoluteValue 8 minus 2 p EndAbsoluteValue = 6?
A number line going from negative 1 to positive 7. Points are at positive 1 and positive 7.
A number line going from negative 4 to positive 4. Points are at negative 1 and positive 1.
A number line going from negative 8 to positive 8. Points are at negative 7 and positive 7.
A number line going from negative 7 to positive 1. Points are at negative 7 and positive 1.
Answer:
A number line going from negative 1 to positive 7. Points are at positive 1 and positive 7.
Step-by-step explanation:
We have the equation:
|8 - 2*p| = 6
Remember that the equation:
|f(x)| = A
with A > 0
means that:
f(x) = A
or
f(x) = -A
Then for our case, we can rewrite:
|8 - 2*p| = 6
as:
(8 - 2*p) = 6
or
(8 - 2*p) = -6
Now we can solve these two equations to find the two possible values of p.
From the first one, we get:
8 - 2*p = 6
8 - 6 = 2*p
2 = 2*p
2/2 = p = 1
so one solution is p = 1
Now from the other equation, we can get the other solution:
(8 -2*p) = -6
8 - 2*p = -6
8 + 6 = 2*p
14 = 2*p
14/2 = p = 7
So the two solutions are p = 1 and p = 7
Then the correct option is:
"A number line going from negative 1 to positive 7. Points are at positive 1 and positive 7."
find the mean of the following, 1.5 m,1.7 m,1.6 m,1.5m,1.5m.
. True or False: The function y = (x2 – 4)/(x2 – 4) is continuous for all values of x
If the triangle on the grid below is translated three units left and nine units down, what are the coordinates of C"?
Identify the correct statement for the given figure.
Answer:
B
Step-by-step explanation:
b/c the figure is right angle
Answer:
[tex]x = \frac{83}{7} [/tex]
Step-by-step explanation:
5x+(2x+7)=90
7x+7=90
7x=90-7
7x=83
x=83/7
x=11.857
toán lớp 8
giải bất phương trình: 2x + 2 > 4
Answer:
x>1
Step-by-step explanation:
Answer:
x>1
I hope it will help you
PLEASE HELP WILL MARK BRAINLIEST
Answer:
C
Step-by-step explanation:
Its the only answer where the y intercept is 16.
We know its 16 because the line crosses the y axis at 16
The length of a rectangle is 7 inches longer than it is wide. If the area is 60 square inches, what are the
dimensions of the rectangle?
Answer: 5 by 12
Step-by-step explanation:
Let's call the dimensions of the rectangle w and w+7
The area is 60, so we can do 60=w(w+7)
60=w^2+7w
w^2+7w-60=0 factor the quadratic equation
(w-5)(w+12)=0
w-5=0, w=5
w+12=0, w=-12
Since the length of a rectangle cannot be negative, w=5
the dimensions of the rectangle are 5 and 12
Anyone help me please
[tex]6 {x}^{6} + 6 {x}^{4} + 6 {x}^{2} [/tex]
Answer:
(6x^2)(x^4 +x^2 + 1)
Step-by-step explanation:
6x^6 + 6x^4 + 6x^2
split it up into parts
6x^6 = (6x^2) * x^4
6x^4 = (6x^2) * x^2
6x^2 = (6x^2) * 1
so you can take out 6x^2 to get
(6x^2)(x^4 +x^2 + 1)
