Answer:
p = 11
Step-by-step explanation:
[tex] \frac{1}{2} \times (p + 3) = 7[/tex]
[tex] = > p + 3 = 7 \div \frac{1}{2} [/tex]
[tex] = > p + 3 = 7 \times 2 = 14[/tex]
[tex] = > p = 14 - 3 = 11[/tex]
In ΔEFG and ΔYXZ, m∠F ≅ m∠X and m∠E ≅ m∠Y. If m∠E = 62° and m∠X = 80°, what is the measure of ∠Z?
Given:
In ΔEFG and ΔYXZ, ∠F ≅ ∠X and ∠E ≅ ∠Y. If m∠E = 62° and m∠X = 80°.
To find:
The measure of ∠Z.
Solution:
In ΔEFG and ΔYXZ,
∠F ≅ ∠X
m∠F = m∠X = 80°
∠E ≅ ∠Y
m∠E = m∠Y = 62°
Now, in ΔYXZ,
[tex]m\angle X+m\angle Y+m\angle Z=180^\circ[/tex] [Angle sum property]
[tex]80^\circ+62^\circ+m\angle Z=180^\circ[/tex]
[tex]142^\circ+m\angle Z=180^\circ[/tex]
[tex]m\angle Z=180^\circ-142^\circ[/tex]
[tex]m\angle Z=38^\circ[/tex]
Therefore, the measure of ∠Z is 38°.
Answer:
∠Z=38°.
Step-by-step explanation:
Given: ∠E ≅ ∠Y, ∠F ≅ ∠X ≅ ∠∠X and ∠X = 80°.
Refer to the image below:
Since ∠E ≅ ∠Y and ∠F ≅ ∠X, this muse mean that ∠G ≅ ∠Z. Now if ∠X = 80°, ∠F has to equal the same since the two are congruent. If you substitute the rest based off of the given, ∠Z=38°.
Two cars start from the same point and move in a straight line, one east at a speed of 60 km per hour and the other west at a speed of 80 km per hour. After what time will they live at a distance of 770 km?
Answer: At 5.5 hours they will be 770 km apart.
Step-by-step explanation: Divide the distance by the total speed at which they are moving apart.
60 km/h + 80km/ = 140 km/h
770 km ÷140 km/h = 5.5 hours
prove that under root 2 is a irrational number
Answer:
Let's suppose √2 is a rational number. Then we can write it √2 = a/b where a, b are whole numbers, b not zero.
We additionally assume that this a/b is simplified to lowest terms, since that can obviously be done with any fraction. Notice that in order for a/b to be in simplest terms, both of a and b cannot be even. One or both must be odd. Otherwise, we could simplify a/b further.
From the equality √2 = a/b it follows that 2 = a2/b2, or a2 = 2 · b2. So the square of a is an even number since it is two times something.
From this we know that a itself is also an even number. Why? Because it can't be odd; if a itself was odd, then a · a would be odd too. Odd number times odd number is always odd. Check it if you don't believe me!
Okay, if a itself is an even number, then a is 2 times some other whole number. In symbols, a = 2k where k is this other number. We don't need to know what k is; it won't matter. Soon comes the contradiction.
If we substitute a = 2k into the original equation 2 = a2/b2, this is what we get:
2=(2k)2/b22=4k2/b22*b2=4k2b2=2k2
This means that b2 is even, from which follows again that b itself is even. And that is a contradiction!!!
WHY is that a contradiction? Because we started the whole process assuming that a/b was simplified to lowest terms, and now it turns out that a and b both would be even. We ended at a contradiction; thus our original assumption (that √2 is rational) is not correct. Therefore √2 cannot be rational.
(I copied this from the internet, but hope it helps!)
Answer:
Let's suppose √2 is a rational number. Then we can write it √2 = a/b where a, b are whole numbers, b not zero.
We additionally assume that this a/b is simplified to lowest terms, since that can obviously be done with any fraction. Notice that in order for a/b to be in simplest terms, both of a and b cannot be even. One or both must be odd. Otherwise, we could simplify a/b further.
From the equality √2 = a/b it follows that 2 = a2/b2, or a2 = 2 · b2. So the square of a is an even number since it is two times something.
From this we know that a itself is also an even number. Why? Because it can't be odd; if a itself was odd, then a · a would be odd too. Odd number times odd number is always odd. Check it if you don't believe me!
Okay, if a itself is an even number, then a is 2 times some other whole number. In symbols, a = 2k where k is this other number. We don't need to know what k is; it won't matter. Soon comes the contradiction.
If we substitute a = 2k into the original equation 2 = a2/b2, this is what we get:
2 = (2k)2/b2
2 = 4k2/b2
2*b2 = 4k2
b2 = 2k2
This means that b2 is even, from which follows again that b itself is even. And that is a contradiction!!!
WHY is that a contradiction? Because we started the whole process assuming that a/b was simplified to lowest terms, and now it turns out that a and b both would be even. We ended at a contradiction; thus our original assumption (that √2 is rational) is not correct. Therefore √2 cannot be rational.
Marta’s fruit stand sold x oranges on Thursday and twice as many on Friday. All together, on both days, she sold 108. Which bar diagram represents the equation?
Step-by-step explanation:
Thursday = x
Friday = 2x (Since thursday is x and she landed up selling twice the amount she did on thursday, friday would be 2x)
Thursday + Friday = 108
For this problem you would need to find the value of x so you would need to substitute x into the equation that was created for the oranges sold on both the days
Thursday + Friday = x+2x = 108
x +2x = 108
3x = 108
x = 108/3
x= 36
Since x is thursday, Marta sold 36 oranges on thursday
To find the amount of oranges sold on friday you would need to multiply x, which is 36, by 2
2x = 2(36) = 72
72 oranges were sold on friday
Hope this helps!!!
Answer:
A on edge
Step-by-step explanation:
Let $p\left(x\right)=x^3-3x^2-10x+24$p(x)=x3−3x2−10x+24 . What is the remainder when $p\left(x\right)$p(x) is divided by $x-1$x−1 $?$?
Answer:
84657
Step-by-step explanation:
A composite function can be written as w(u(x)), where u and w are basic functions.
Is h(x) = (x2 + 3x + 2)5 a composite function? If so, what are the "inner" and "outer" functions?
Choose 1 answer:
A
h is composite. The "inner" function is x2 + 3x + 2 and the "outer" function is x5.
h is composite. The "inner" function is 25 and the "outer" function is x2 + 3x + 2.
C
h is not a composite function.
Answer:
A
Step-by-step explanation:
Yes , h(x) is a composite function
A composite function involves putting one function into another
In this case;
x^5 will be the outside function while what we have in the bracket is the inner function
Write an equation of the line in point-slope form that passes through the given points.
(5,5) and (6,7)
An equation of the line is
Answer:
Step-by-step explanation:
point - slope formula: y - y1 = m(x-x1)
we need to find the slope ... or what is m ?
m = rise / run
m = y2 - y1 / x2 - x1
where the given points are (x1,y1) and (x2,y2)
m= 7-5 / 6-5
m = 2 / 1
m =2
now use either point and plug the slope and the point into the point-slope formula
y-5 =2(x-5) :)
can anyone please help me with this question?
Answer:
13
Step-by-step explanation:
A is going to be my version of the triangle:
if A ABC =~ A GHI then all of the line segments and area should be the same.
Stephen can deliver 14 newspapers in 20 minutes. How many HOURS will it take him to deliver 126 papers?
A) 88.2 hours
B) 180 hours
C) 3 hours
D) 1.47 hours
20 minutes is 1/3 of an hour
14 x 3 = 42
He delivers 42 papers per hour
126 / 42 = 3 hours
The answer is c
Given that g(x)=2x^2-5. Calculate g(x+4)+2
Answer:
[tex]2x^2+16x+29[/tex]
Step-by-step explanation:
Given that,
[tex]g(x)=2x^2-5[/tex]
We need to find g(x+4)+2
[tex]g(x+4)=2(x+4)^2-5\\\\=2(x^2+16+8x)-5\\\\=2x^2+32+16x-5\\\\=2x^2+16x+27[/tex]
Now,
[tex]g(x+4)+2=2x^2+16x+27+2\\\\=2x^2+16x+29[/tex]
So, the value of [tex]g(x+4)+2[/tex] is [tex]2x^2+16x+29[/tex]
Danny has 38 coins consisting of quarters and dimes worth $6.95.How many dimes does he have
Answer:
would that be 264.1
Step-by-step explanation:
Can someone please help me with this question!!! Pick The correct layout
Answer:
B
Step-by-step explanation:
x + y = 90
Your x and y will give you a sum of 90
y= 4x + 6
Your y will be 6+ more then 4 TIMES x
therefore you would do 4 times x plus 6 equals y
A grocer has 18kg of black tea worth 3.5per kg. She wants to mix
The question is incomplete, the complete question is;
A grocer has 18 kg of black tea worth $3.5 per kg. She wants to mix it with green tea worth $2.6 per kg to sell the mixture at $2.9 per kg. How much of green tea should she use?
Answer:
36
Step-by-step explanation:
Let the weight of the green tea used be x kg.
From the question:
We have:
18 kg of black tea at $ 3.5 per kg. Thus total cost of black tea is 18 x 3.5 = $ 63
Cost of green tea is $2.6 per kg. Total cost of green tea is 2.6 * x = $2.6x
Total weight of the mixture is 18 + x kg.
Total cost of the mixture is = $2.9 (18 + x)
Thus,
Total cost of black tea + total cost of green tea = Total cost of the mixture
$63 + $2.6 x = $2.9 (18 + x)
$63 + $2.6x = $52.2 + $2.9x
63 – 52.2 = 0.3 x
10.8 = 0.3 x
x = 10.8/0.3
x = 36
36 kg of green tea is needed
A carton contains 1.92 liters of milk. There are 8 servings in the carton. How many liters of milk are in each serving? A. 0.14 B. 0.19 C. 0.24 D. 0.29
Answer:
C. 0.24
Step-by-step explanation:
A carton contains 1.92 liters of milk. There are 8 servings in the carton. How many liters of milk are in each serving? A. 0.14 B. 0.19 C. 0.24 D. 0.29
From the above question:
8 servings = 1.92 liters of milk
1 serving = x liters
Cross Multiply
8 × x liters = 1 × 1.92 liters
x liters = 1.92 liters/8
x liters = 0.24 liters
There are 0.24 liters of milk, in 1 serving
Answer:
0.24
Step-by-step explanation:
Help me please!!!:):)
Answer:
4/7x310=177 1/7
8/8x310=310
1 1/6x310=361 2/3
Step-by-step explanation:
Hope THis Helps :)
Answer:
4/7*310 = 177.142857
8/8*310 = 310
1 1/6*310 = 361.666667
So the order would be 4/7, 8/8, 1 1/6
Hope this helped! :)
1. The area of a square tile is 36 square centimeters. What is the length of the tile?
a. 4 cm
b. 6 cm
c. 18 cm
d. 24 cm
A paddock contains ducks and sheep. There are a total of 42 heads and 96 feet in the paddock. Determine how many ducks and how many sheep are in the paddock using simultaneous elimination.
Answer:
Number of ducks in paddock = 36
Number of sheep in paddock = 6
Step-by-step explanation:
Let d be the number of ducks and s be the number of sheep
Then according to given statements, the equations will be:
[tex]d+s = 42\ \ \ Eqn\ 1\\2d+4s = 96\ \ \ Eqn\ 2[/tex]
For elimination, multiplying equation 1 by 2 and then subtracting from equation 2:
[tex]2(d+s) = 2*42\\2d+2s = 84\\Subtraction:\\2d+4s-(2d+2s) = 96-84\\2d+4s-2d-2s = 12\\2s = 12\\\frac{2s}{2} = \frac{12}{2}\\s = 6[/tex]
Putting s = 6 in equation 1:
[tex]d+6 = 42\\d = 42-6\\d = 36[/tex]
Hence,
Number of ducks in paddock = 36
Number of sheep in paddock = 6
Number of sheep and Number of duck are 6 and 36
Elimination method:Given that;
Number of total heads = 42
Number of total feet = 96
Find:
Number of ducks and sheep
Computation:
Number of legs in 1 sheep = 4
Number of legs in 1 duck = 2
So,
Assume;
Number of sheep = a
Number of duck = b
So,
a + b = 42 ...... Eq1
4a + 2b = 96 ......... Eq2
Eq2 / 2
2a + b = 48..... Eq3
From Eq 3 and Eq1
a = 6
So,
b = 36
Number of sheep = 6
Number of duck = 36
Find out more information 'Elimination method'
https://brainly.com/question/3580300?referrer=searchResults
Janet measured a shopping center and made a scale drawing. The scale she used was 1 inch : 6 feet. A bakery in the shopping center is 13 inches in the drawing. How long is the actual bakery?
Answer:
The length of the actual bakery is 936 inches or 78 feet
Step-by-step explanation:
From the question we are told:
Janet measured a shopping center and made a scale drawing. The scale she used was 1 inch : 6 feet.
Let both the measurement of the shopping center and scale drawing be written in feet
1 foot = 12 inches
6 foot = x
Cross Multiply
x = 6 × 12 inches
x = 72 inches
Hence, the scale drawing =
Scale drawing : shopping center
1 inch = 72 inches
A bakery in the shopping center is 13 inches in the drawing. How long is the actual bakery?
This is calculated as:
1 inch = 72 inches
13 inches = x inches
Cross Multiply
x = 13 × 72 inches
x = 936 inches
The length of the shopping center = 936 inches
We convert back to feet
= 12 inches = 1foot
936 inches = x
Cross Multiply
12x = 936 × 1
x = 936/12
x = 78 feet
Therefore the length of the actual bakery is 936 inches or 78 feet
A circle has a circumference of 5 π. What would the area of the circle be?
Pls help me with #18 it has to be in simplest form 10 points
Answer:
-2p + 4
Step-by-step explanation:
7p - 1 - 9p + 5
7p - 9p + 5 - 1
-2p + 4
How would you solve a linear equation with X and Y on the same side
Either the question is printed wrong..
Or the answer should simply be
3x + 4y = 10
Answer:
see explanation
Step-by-step explanation:
To solve, choose a value of x or y, substitute into the equation and evaluate for the other variable.
Choose x = 2, then
3(2) + 4y = 10
6 + 4y = 10 ( subtract 6 from both sides )
4y = 4 ( divide both sides by 4 )
y = 1
Thus (2, 1 ) is a solution to the equation
i need help please with all
Answer:
13. 230°
14. -3
14. 14
15. 9
Step-by-step explanation:
I'm srry if these are wrong
^^^^^^^^^^^^^^^^^^..!!!!!!
Answer:
Step-by-step explanation:
[tex]\sqrt{40x^{3} }[/tex]
rewrite
[tex]\sqrt{4*10*x^{2} *x}[/tex]
pull out the 4 and the [tex]x^{2}[/tex]
2x[tex]\sqrt{10x}[/tex]
a looks good
.. The zeroes of the quadratic polynomial x2 +
kx + k, where k = 0,
(a) cannot both be positive
(b) cannot both be negative
(c) are always unequal
(d) are always equal
Answer:
d.
Step-by-step explanation:
They are always equal because if k = 0 we are left with x^2.
Answer:
it is d at lease I try think sets DVDs frags = 6t² + 3t + 7, 0 ≤ t ≤ 2 Find the body's displacement and average velocity for the given time interval. *
A) 30 m, 30 m/sec
B) 44 m, 22 m/s
C) 18 m / sec , 27 m /sec
D) 30 m / sec , 15 m /sec
Answer:
no choice
use calculus to find vav
s'=v=12t+3
v(0)=3
v(2)=27
so vav=(27-3)/2
vav=12
Write an algebraic expression that represents 3 less than 19 times a number?
1. 3x-19
2. 19x-3
3. 19(x-3)
4. 3-19x
Step-by-step explanation:
the answer is choice 2 because less than always means a negative number never subtract and i also looked up examples online so it gave me the same answer. YOUR WELCOME
3x – 17 = 4 X = whats the answer to this
Answer:
x=-17
Step-by-step explanation:
Answer:
[tex]3x - 17 = 4x \\ \\ 3x - 4x = 17 \\ \\ x = - 17[/tex]
What is the difference between percent difference and percent change?
Answer:
Percent change is comparing one current number or value to another.
Percent difference is comparing a number or value to another number or value.
Step-by-step explanation:
Will give brain for good answer.
-1/2x = -7
Answer:
x = 14
Step-by-step explanation:
Step 1:
- 1/2x = - 7 Equation
Step 2:
x = - 7 ÷ - 1/2 Divide 1/2 on both sides
Step 3:
x = - 7 × - 2 Flip the Fraction
Answer:
x = 14 Multiply
Hope This Helps :)
Here is a polygon. A scaled copy of the polygon is created using a scale factor of 1/2. What are the new side lengths in the copy?
Answer:
3 by 4
Step-by-step explanation:
Given the dimension of the polygon as 6 by 8
If the scale factor is 1/2, the new side length is gotten by multiplying both dimensions by 1/2 as shown:
For the side length 6:
New length = 1/2 * 6 = 3
For the side length 8:
New length = 1/2 * 8
New length = 4
Hence the new side lengths in the copy is 3 by 4