Answer:
Will is 8 years old, Ben is 11 years old, and Jan is 22 years old
Step-by-step explanation:
Since Ben is 3 years older, his age can be represented by w + 3
Jan is twice as old as Ben, so her age can be represented by 2(w + 3)
Set up an equation that adds up these expressions and sets it equal to 41:
(w) + (w + 3) + 2(w + 3) = 41
Simplify, add like terms, and solve for w:
(w) + (w + 3) + 2(w + 3) = 41
(w) + (w + 3) + (2w + 6) = 41
4w + 9 = 41
4w = 32
w = 8
So, Will is 8 years old.
Find Ben's age by adding 3 to this:
8 + 3
= 11
Find Jan's age by multiplying this by 2:
11(2)
= 22
So, Will is 8 years old, Ben is 11 years old, and Jan is 22 years old
The top of the mountain is at an elevation of 800 feet. The floor of the cave is 200 feet below ground. What is the distance between the top of the mountain and the floor of the cave?
Answer:
1000
Step-by-step explanation:
Help pls ill mark brainliest
Answer:
m∠b = 92 ; m∠c = 92
Step-by-step explanation:
∠b and ∠c both form supplementary angles with the 88° angle. I'll just choose b in this instance.
b + 88 = 180
b = 92
Now we know that ∠b is 92°.
Moreover, ∠c and ∠b are known as vertical angles meaning they are equivalent to each other. Therefore, ∠c is also 92°
Item 2 What is the value of the function at x=−2? y=−4 y = 0 y = 2 y = 3
Answer fast please!!!
Answer:
ok
Step-by-step explanation:
Suppose a normal distribution has a mean of 34 and a standard de ration of 2. What is the probability that a data value is between 30 and 362 Pound your answer to the nearest tenth of a percent. A. 82.9% B. 83.9% C. 81.9% D. 84.9%
Answer:
so my name is cene and i have that question and its b
Step-by-step explanation:
Answer: 81.9
Step-by-step explanation:
Just took the quiz
Please help me answer this
Answer: 7/8
10-2/12-4= 7/8
Step-by-step explanation:
Answer:
the answer might be number 3
I don't get it, the concept is to make a proof, but I'm so confused!!!!
Answer:
Try Finding What A And B Is...
Step-by-step explanation:
i need help asap i’ll give
Answer:
32
Step-by-step explanation:
It is a 90º angle. Subtracting the 58º gives you 32.
please awnser photo will give brain if you are first
whats the area of 1.6m, 1.2m and 1.4m?
Answer:
= 2.1 meters
Step-by-step explanation:
Help Urgent!!!
I don’t understand what I should do next
9514 1404 393
Answer:
∠E = ∠A = 34°; ∠AFB = ∠DFE = 107°-34° = 73°
Step-by-step explanation:
Here's where I'd go next.
73° (∠EDA) is exterior to ΔDAC, so is the sum of remote interior angles A and C. That is, ...
∠C + ∠A = 73°
∠C = 73° -∠A = 73° -39° = 34°
Triangle CBE is given as isosceles, so its base angles C and E are congruent, both 34°.
Exterior angle CDF is the sum of remote interior angles DEF and DFE, so we have ...
107° = 34° +∠DFE
∠DFE = 107° -34° = 73°
The angle we just found (∠DFE) is a vertical angle with ∠AFB, so has the same measure.
∠AFB = 73° . . . . vertical angle with ∠DFE
_____
In summary, it looks like we have added some steps to the derivation:
4. ∠A = 34° . . . . exterior angle theorem (∠A +39° = 73°)
5. ∠E = ∠A = 34° . . . . definition of isosceles triangle
6. ∠DFE = 73° . . . . exterior angle theorem (∠E +34° = 107°)
7. ∠AFB = 73° . . . . vertical angles
_____
Additional comment
Any sort of math problem solving has you work from what you know to what you need to know by making use of previously learned relationships between the bits of information you have. Here, you really only need to know (a) angles of a linear pair total 180°; (b) angles in a triangle total 180°; (c) angles opposite congruent sides in a triangle are congruent. Everything we claim above can be concluded using these facts. The various theorems we used are simply shortcuts that allow you to bypass intermediate steps in the problem-solving process.
Ruben bought a 20-pound bag of dog food for his Great Dane Tank Acer 7 days, all the dog
food was gone
How much dog food did Tank eat each day?
wrice your answer as a proper fraction or med number
Answer:
2/3
Step-by-step explanation:
What is the solution to the system of equations graphed below?
y--x+2
y= 5x+ 28
OA. (4, 8)
OB. (0, 2)
Answer:
4,8 :)
Step-by-step explanation:
Answer:
(-4, 8)
Step-by-step explanation:
other answer was close but wrong
a point with positive x coordinate in a meander Y coordinates is reflected over the y-axis which sentence describes the coordinate of the new point
Answer:
B. negative x-coordinate and negative y-coordinate
I need the answer to this please thank you
Answer:
[tex]m(\widehat{WXZ})[/tex] = 160°
Step-by-step explanation:
By angle sum postulate,
m∠WYX + m∠XYZ = m∠WYZ
m∠WYZ = 50° + 30°
= 80°
Since, inscribes angle (∠WYZ) = [tex]\frac{1}{2}\times (\text{Intercepted arc WXZ})[/tex]
80° = [tex]\frac{1}{2}(\widehat{WXZ})[/tex]
[tex]m(\widehat{WXZ})[/tex] = 160°
Select the correct answer.
What is the solution to this system of equations?
3x+y=17
x+2y= 49
OA. It has no solution,
B.
It has infinite solutions.
OC. It has a single solution: x = 15, y= 17.
OD.
It has a single solution: x= -3, y = 26.
Answer:
one solution: x = -3, y = 26
Step-by-step explanation:
3x + y = 17
x + 2y = 49
If you multiply the first equation by -2 and then add you will eliminate the 'y' term
-2(3x + y) = -2(17)
-6x - 2y = -34
+ x + 2y = 49
-5x = 15
x = -3
-3 + 2y = 49
2y = 52
y = 26
Im StUcK HeLp Me
-1 (4x + 2y)
Answer:
-4x - 2y
Step-by-step explanation:
Hope it works
Answer:
Step-by-step explanation:
−1(4x+2y)
=(−1)(4x+2y)
=(−1)(4x)+(−1)(2y)
=−4x−2y
Hope this helps u out
*
1. Place the following numbers in order from least to greatest.
-0.75 – 4/5, -16, -8%
Answer: The numbers in order from least to greatest is as follows:
-4/5
-0.75
-16
-8%
Hint: To better help you understand... -4/5 would be the least and -8% would be the greatest.
the school band wants to make 1000 dollars at the annual car wash, if they charge 15 dollars per car, how many cars should the band wash
The distance between two cities is 325 miles.
If the scale on a map reads 1 inch = 50 miles,
what is the distance between the two cities
on the map?
PLEASE HELP! The vertices of square LMNO are L(0, 2), M(2, 0), N(0,−2), and O(−2, 0). Which of the following shows that its diagonals are congruent perpendicular bisectors of each other? I ATTACHED THE IMAGES.
Answer:
The fourth one is correct.
Step-by-step explanation:
To show the diagonals are congruent, calculate their lengths using the Distance Formula: d=(x2−x1)2+(y2−y1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√.
Find the length of LN.
Substitute 0 for x1, 2 for y1, 0 for x2 and −2 for y2.
LN=(0−0)2+(−2−2)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√
=02+(−4)2‾‾‾‾‾‾‾‾‾‾√
=8‾√
Find the length of MO.
Substitute 2 for x1, 0 for y1, −2 for x2 and 0 for y2.
MO=(−2−2)2+(0−0)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√
=(−4)2+02‾‾‾‾‾‾‾‾‾‾√
=8‾√
Since LN=MO, by the definition of congruent line segments, LN=MO.
To show the diagonals are perpendicular, calculate their slopes using the Slope Formula: m=y2−y1x2−x1.
Find the slope of LN.
Substitute 0 for x1, 2 for y1, 0 for x2 and −2 for y2.
m1=−2−20−0=−40⇒m1 cannot be defined.
Find the slope of MO.
Substitute 2 for x1, 0 for y1, −2 for x2 and 0 for y2.
m2=0−0−2−2
=0−4
=0
The slope of LN cannot be defined, this means that LN is parallel to y-axis. The slope of MO is equal to 0, this means that MO is parallel to x-axis. x and y axis are perpendicular, therefore LN⊥MO.
The figure shows the same square L M N O on a Cartesian plane as in the beginning of the task. Diagonal L N is perpendicular to diagonal M O.
To show the diagonals bisect each other, calculate their midpoints using the Midpoint Formula: P(x1+x22,y1+y22).
Find the midpoint of LN.
Substitute 0 for x1, 2 for y1, 0 for x2 and −2 for y2.
P1(0+02,2+(−2)2)=(0, 0)
Find the midpoint of MO.
Substitute 2 for x1, 0 for y1, −2 for x2 and 0 for y2.
P2(2+(−2)2,0+02)=(0, 0)
Both midpoints are the same point on the coordinate plane. This means the two diagonals intersect at their midpoints, or bisect each other.
The figure shows the same square L M N O on a Cartesian plane as in the beginning of the task. The diagonals intersect at point P. Segments L P, P N, M P, and P O are congruent.
Therefore, the diagonals are congruent perpendicular bisectors of each other.
What is the area of the bulletin board?
PLEASE HELP!!
Answer:
B: 8^3 in squared
Step-by-step explanation:
2^3 = 2*2*2= 8
4^3 =4*4*4=64
Area of rectangle equals length times width.
So, 8 * 64 equals 512 and 8^3= 512
Use calculator. Also, you can just treat it as normal multiplication and choose the one with the same units. so it would be 8, but then the next thing you would need to look at is the exponent. Since 8^6 is not the same exponent as the two in the problem, it has to be the 8^3, which are the same
is this a function hmm
Stanley has a collection of seashells. He found 35% of his collection on Florida beaches. If Stanley has 49 seashells from Florida, how many seashells does he have in his collection all together?
A) 90
B) 120
C) 140
D) 160
Answer:
140 shells. So, C
Step-by-step explanation:
Let x equal the total number of shells in Stanley's collection. Then,
.35 x = 49
x = 49 / .35
x = 140
a = 8, b = 6, c = ?
A) 10
B) 11.2
C 14
D) 100
I need help plz! If anyone knows, I would truly appreciate it! Thank uuu!!!!^^
(5 screenshots included)
Answer:
pic1 a pic2 d
Step-by-step explanation:
i did this
Please help me
I need this ASAP
PLEASE HELP ME
Answer:
180 X 365 = 65700 litres
65700/1000 = 65.7 cubic metres
65.7 X 91.22 = 5993.154
5993.154 / 100 = 59.93154
59.93 + 28.20 = 88.13
yes Henry should have a water meter
Convert the following repeating decimal to a fraction in simplest form.
.71
Answer:
71/100
Explanation:
As you can see, the decimal ends at the hundredths place, so the fraction is 71/100. Its simple! If the number end at the tenths, hundredths, or thousandths, just take that number and do it like this! 38/1,000
Hope this helped! ;)
brainly pls
What is the solution of x + 6 11
C. x –1
show your work pls
Answer:
C. x < –1
Step-by-step explanation:
What is the solution of x + 6 < 5?
A. x < 11
B. x > 11
C. x < –1
D. x > –1
-1+6<5
but you need less than 5 so
x<-1
Square ABCD has diagonals AC¯¯¯¯¯
and BD¯¯¯¯¯
. What is m∠ABD
A
180º
B
90º
C
45º
D
360º
Answer:
option (c)
Step-by-step explanation:
Given,
ABCD is a square.
AC and BD are diagonals
We know that,
Sides of the square make 90 degrees with each other.
And Diagonals bisect the opposite angles of the square.
Now,
[tex]\angle ABD = \dfrac{\angle ABC}{2}[/tex]
[tex]\angle ABC = 90^\circ[/tex]
[tex]\angle ABD = \dfrac{\angle ABC}{2}[/tex]
[tex]\angle ABD = \dfrac{90^\circ}{2}[/tex]
[tex]\angle ABD = 45^\circ[/tex]
Hence, option (c) is correct.
What is 4.75 in standard form?
Answer:
0.00475
Step-by-step explanation: