Answer: $1094.17
Step-by-step explanation:
Amount = Pe^rt
The two triangles in the diagram are similar. There are two possible values of x. Work out each of these values. State ALL of your workings out.
Answer:
X = 2
Step-by-step explanation:
Since two triangles ΔACD and ΔABE are similar triangles, their corresponding sides will be proportional.
Therefore, [tex]\frac{\text{AC}}{\text{AB}}=\frac{\text{AD}}{\text{AE}}[/tex]
By substituting the measures of the sides in the expression,
[tex]\frac{(x+10)}{10}=\frac{(15+3)}{15}[/tex]
15(x + 10) = 180
x + 10 = 12
x = 12 - 10
x = 2
Therefore, for the given similar triangles value of x = 2
Determine the greatest common divisor of the elements of the set \[ s = \{ n^{13} - n \mid n \in \mathbb{z} \}. \]
Answer:
2730
Step-by-step explanation:
We want to determine the greatest common divisor of the elements of the set [tex]S = \{ n^{13} - n \mid n \in \mathbb{Z} \}.[/tex]
We apply the Fermat's little theorem which states that if p is a prime number, then for any integer a, the number aᵖ − a is an integer multiple of p.
Now, [tex]n^{13} \equiv n \mod p [/tex] if p-1 divides 12.
Since the of 12 are 1,2,3,4, 6, 12, the corresponding primes are 2, 3, 5, 7, 13.
Therefore, the gcd of the elements in [tex]2^{13}-2[/tex] and [tex]3^{13}-3$ is 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13.[/tex]
2*3*5*7*13=2730
Therefore, the gcd of the elements in set S is 2730.
I need help with this question can anyone help?
Answer:
the answer is 6 just check it
Connor is stuck in a traffic jam on a single-lane road. The traffic report tells him the
traffic jam stretches for 5.5 miles.
If Connor assumes each car is about 12.5 feet long, which calculation is most
reasonable for Connor to use to find about how many cars are stuck in the traffic jam?
Answer:
Cornor should divide the total length of the road on which there is traffic by the length of each of the cars
Step-by-step explanation:
The best calculation he can use is to divide the total length of the road on which we have the traffic by the length of each of the cars
Mathematically, the best way to go about this is to convert the miles to feet then divide by the length of each of the cars
Mathematically 1 mile = 5280 feet
so 5.5 miles will be = 5280 * 5.5 = 29,040 feet
It is this length we shall now divide by 12.5 ft
And that is 29,040/12.5 = 2,323.2
Which is approximately 2,323 cars
Ryan is making pancakes for the Drama Club's pancake breakfast. The table below shows the amounts of pancake mix and milk needed to make enough pancakes to feed different numbers of guests. If there are 63 guests at the breakfast, how much pancake mix and milk are needed? Show your work. (BRAINLIEST FOR FIRST ANSWER)
The amount of mix would be 16 and the amount of milk would be 8 work is in the picture
Please it’s urgent please❤️
Answer:
280 kg
Step-by-step explanation:
279.98... so it rounds up to 280
Answer:
58kg
Step-by-step explanation:
127 pounds to kg is 57.606 kgs
divide pounds by 2.205
Expand X(3x+2)=??????
Answer:
[tex] {3x}^{2} + 2x[/tex]
Solution,
[tex]x(3x + 2) \\ = x \times 3x + x \times 2 \\ = {3x}^{2} + 2x[/tex]
hope this helps...
Good luck on your assignment..
Answer:
3x²+2x
Step-by-step explanation:
=> x(3x+2)
Using distributive property
=> (x*3x)+(x*2)
=> 3x²+2x
Rachel, Mario and Sanjit share some money in the ratios 4:3:9
Mario receives £96.
Work out the difference between the amount received by Rachel and the amount
received by Sanjit.
Answer:
£160.
Step-by-step explanation:
Mario receives 3 / (4+3+9) = 3/16 of the money.
So by proportion the total amount of money
= 96 * 16/3 = £512
So Rachel receives 4/16 = 1/4
= 512 / 4
= £128.
- and Sanjit receives 9/16
= 512 * 9/16
= £288
The difference is 288 - 128 = £160.
Find the solutions to x^2=27 A x= +/- 9 √3 B x= +/- 3 √9 C x= +/- 3 √3 D x= +/- 9 √2 FIRST TO ANSWER CORRECTLY GETS BRAINLIEST :-)
Answer:
The answer is C.
Step-by-step explanation:
You have to square both sides :
[tex] {x}^{2} = 27[/tex]
[tex]x = ± \sqrt{27} [/tex]
Then, you have to simplify it :
[tex]x = ± \sqrt{9 \times 3} [/tex]
[tex]x = ±( \sqrt{9} \times \sqrt{3} )[/tex]
[tex]x = ±( 3 \times \sqrt{3} )[/tex]
[tex]x = ±3 \sqrt{3} [/tex]
Answer:
Option C) x = ±[tex]3\sqrt{3}[/tex]
Step-by-step explanation:
=> [tex]x^2 = 27[/tex]
Taking sqrt on both sides
=> x = ±[tex]\sqrt{27}[/tex]
=> x = ±[tex]\sqrt{3 * 3*3}[/tex]
=> x = ±[tex]3\sqrt{3}[/tex]
Find the total surface area of this cuboid
Answer:
Total Surface Area =
148cm²
Explanation:
in the picture
The total surface area of cuboid is 158 cm².
What is the total surface area of cuboid?
The surface area of a cuboid is the total area of all of the faces of a cuboid.
If, the length (l), width (w), and height (h) of the cuboid
then, use the formula: surface area (SA)=2lw+2lh+2hw.
Here, given that,
l = 6cm
w = 4cm
h = 5cm
So, required total SA = 2( 24+30+20)
=158 cm²
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Simplify the following expression. It’s for my math assignment, please help.
Answer:
[tex]3t^9[/tex]
Step-by-step explanation:
Image attached below.
Find EF, Im having trouble with this
Answer:
EF = 6
Step-by-step explanation:
(whole secant) x (external part) = (whole secant) x (external part)
(4+2x) * 4 = (5+x) * 5
Distribute
16+8x = 25+5x
Subtract 5x
16+3x = 25
Subtract 16
3x = 25-16
3x = 9
Divide by 3
x = 9/3
x=3
We want EF
EF = 2x = 2*3 = 6
can someone explain too??
Answer:
5[tex]\sqrt{2}[/tex]
Step-by-step explanation:
prime factorising 50 inside root,
[tex]\sqrt{50}[/tex]=[tex]\sqrt{5*5*2}[/tex]
5*5 is a perfect square
So root of 5*5(or 25) is 5.
Hence 5 comes outside and 2 remains in bracket.
=5[tex]\sqrt{2}[/tex]
Which linear function has the steepest slope? 15 POINTS
Answer:
Actually the correct answer is the last option.
Step-by-step explanation:
I just took the quiz on edge
The function given in the option (4) has the steepest slope.
For option (1)
Let's calculate the slope for given values of x and y in option (1)
First, let's consider the points (3,10) and (6,13):
[tex]x_1=3, x_2 =6[/tex] and [tex]y_1 = 10, y_2=13[/tex]
[tex]x_2-x_1=6-3=3[/tex]
and [tex]y_2-y_1= 13-10 =3[/tex]
Now, the formula for slope is:
[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
So, for these points,
[tex]m=\dfrac{3}{3}[/tex]
[tex]m=1[/tex]
Next, for points (6,13) and (9,16):
[tex]x_2-x_1=9-6=3[/tex]
and [tex]y_2-y_1=16-13 =3[/tex]
then, slope is:
[tex]m=\dfrac{3}{3}[/tex]
[tex]m=1[/tex]
Similarly, for points (9,16) and (12,19):
Slope is 1.
Hence, for the data given in option (1), slope is 1.
Now for option(2);
From the given graph, we can see the co-ordinates are (1,0) and (0,-2)
[tex]x_1=1,y_1=0[/tex] and [tex]x_2=0, y_2=-2[/tex]
[tex]x_2-x_1= -1[/tex] and [tex]y_2-y_1=-2[/tex]
Thus, the slope is:
[tex]m = \dfrac{-2}{-1}[/tex]
[tex]m=2[/tex]
Now for option (3):
From the given graph, it is clear that the co-ordinates are (0.5,0) and (0,1)
[tex]x_1= 0.5, x_2=0[/tex] and [tex]y_1=0, y_2=1[/tex]
[tex]x_2-x_1=0.5[/tex] and [tex]y_2-y_1= 1[/tex]
Thus, the slope is
[tex]m = \dfrac{1}{0.5}[/tex]
[tex]m =2[/tex]
Now, for option (4):
First, let's consider the points (2, -4) and (4, -12)
[tex]x_1= 2, x_2= 4[/tex] and [tex]y_1= -4, y_2=-12[/tex]
[tex]x_2-x_1= 2[/tex] and [tex]y_2-y_1=- 8[/tex]
slope is:
[tex]m = \dfrac{-8}{2}[/tex]
m =-4
Now, for points (4, -12) and (6, -20):
[tex]x_2-x_1= 2[/tex] and [tex]y_2-y_1= -8[/tex]
Then, the slope is:
[tex]m= \dfrac{-8}{2}[/tex]
m = -4
Similarly, for points (6, -20) and (8, -28):
Slope is -4.
That means for the data given in option (4) slope is -4.
Hence, the slope for the option (4) is steepest.
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Can someone please help me with this
Hey there! :)
Answer:
x = 3.
Step-by-step explanation:
Begin by setting up a ratio comparing the small triangle to the large triangle. Remember, combine the values of the parts of the sides given to find the total lengths of the sides:
2x + x + 5 = 3x + 5
4 + 3 = 7
Now, we can set up a ratio:
[tex]\frac{x+5}{4}=\frac{3x+5}{7}[/tex]
Cross multiply:
7(x + 5) = 4(3x + 5)
Distribute:
7x + 35 = 12x + 20
Subtract 7x from both sides:
35 = 5x + 20
Subtract 20 from both sides:
15 = 5x
Divide both sides by 5:
x = 3.
Answer:
Step-by-step explanation: You can find the value of x with a little knowledge about proportions between similar polygons. The sides with lengths relative to x are similar to each other meaning that you can use the proportion: x/3x+5 = 4/7 solve for x by cross multiplying and you will get the value of x.
the subject of the formula below is y. y = 2x - pq rearrang the formula to make x the subject PLS HELP I NEED IT NOW FOR MINECRAFTS SAKE ME WANNA PLAY BUT ME NEED THE QUESTION PLS
Answer:
I am grade a man who is not in my life and I am 97 and the other is that 93inches is the urge for the pain of his life and I think that he is not a good person to be a
Answer:
2x=y
Step-by-step explanation:
Done
4. Television sets used to come with an aspect ratio of 4:3 (width is 4 units and height is 3 units). Since broadcast channels in the United States are now broadcasting in 16:9, most newer sets come with a 16:9 aspect ratio. Your brother believes that since you can rewrite the ratio 16:9 as 4^2:3^2, that means a 4:3 television set is similar to a 4^2:3^2 television set. Is this true? What argument would you use to clarify your or your brother’s thinking? What are the dimensions of a television set that would be similar to the 4:3 set?
Answer:
8
Step-by-step explanation:
help please....................
A) mean = average. Find the total of the ages and dive by number of people:
19x 2 = 38
20x3= 60
21x1= 21
22x4 = 88
23x1=23
38 +60 +21+88+23= 230
230/ 11= 20.9
Mean = 20.9
B ) 1 more person makes the total 12 people. The mean becomes 22, so total of the ages would be 12x22= 264
Subtract the two totals 264 - 230 = 34
The person would be 34
Brainliest needed ..... do this graph show a function? Explain how you know.
Answer:
A
Step-by-step explanation:
In a function no X's can repeat which is what the vertical line test is. And in this case no X's repeat therefore, making it a function.
Answer:
No, it fails the vertical line test
Step-by-step explanation:
This is not a function. It does not have a one to one correspondence. There are x values that have more than one y value. It fails the vertical line test
obi's age is twice oba's age 4 years ago obi was three times as old as oba. find their ages
Answer:
Obi's age is 18 and Oba's age is 9
Step-by-step explanation:
Let Obi's age be x and Oba's age be y
Condition 1:
x = 2y -----------(1)
Condition 2:
(x-4) = 3(y-4)
=> x -4 = 3y-12
=> x - 3y = -9 -----(2)
Putting eq (1) in (2)
2y - 3y = -9
=> -y = -9
=> y = 9
Now,
x = 2y
=> x = 2(9)
=> x= 18
Answer:
[tex]8\\4[/tex]
Step-by-step explanation:
Obi's age is [tex]x[/tex].
Oba's age is [tex]2x[/tex].
4 years ago, Obi's age was [tex]x-4[/tex].
4 years after, Obi's age is [tex]2x-4[/tex]
3 times more than Oba's, so [tex]3(x-4)[/tex]
[tex]2x - 4 = 3( x - 4)[/tex]
[tex]2x - 4 = 3x-12[/tex]
[tex]2x - 3x = -12+4[/tex]
[tex]-1x=-8[/tex]
[tex]x=8[/tex]
[tex]x-4\\(8)-4=4[/tex]
Manny has 48 feet of wood. He wants to use all of it to create a border around a garden. The equation 2 l plus 2 w equals 48 can be used to find the length and width of the garden, where l is the length and w is the width of the garden. If Manny makes the garden 15 feet long, how wide should the garden be?
Answer:
9 feet
Step-by-step explanation:
Answer:
The Width of the garden will be 9 feet.
Step-by-step explanation:
Given:
Manny has wood =48 feet
Length of the garden = 15 feet
The equation which can be used. (2l + 2w) = 48
We need to find the width of the garden.
Solution :
Now Length of the garden is given we will substitute in the given equation to find the width.
(2l + 2w) = 48
2 x 15 + 2w = 48
30 + 2w = 48
Now Using Subtraction property we will subtract both side by 30 we get;
30 + 2w -30 = 48 -30
2w = 18
Now Using Division Property we will divide both side by 2 we get;
2w = 18
/2
w = 9
Answer:
Answer is A: 9 feet
The transformation from the function f (x)=3x to the function f(x)=3x+4 indicates
Answer:
Moving 4 to the right on the x axis
Step-by-step explanation:
HELP!!! Please solve the problem and give me the answer!!!
Answer:
answer A
Step-by-step explanation:
Hello,
[tex](fog)(x)=f(g(x))=f(2x-1)=3(2x-1)+14=6x-3+14=6x+11[/tex]
so the correct answer is A.
hope this helps
Answer:
A. 6x + 11.
Step-by-step explanation:
(f o g)(x)
We replace the x in f(c) by g(x) and simplify:
= 3(2x - 1) + 14
= 6x - 3 + 14
= 6x + 11.
Kyra was building a bed for her dollhouse. She used her bed, which is 4 feet × 5 feet, as a guide. She scaled down the dimensions of her bed by a factor 1/5. What are the dimensions of the model bed she built?
A,) 0.8 ft × 0.1 ft
B.) 0.4 ft × 0.5 ft
C.) 0.8 ft × 1 ft
D.) 0.04 ft × 0.05 ft
Answer: C. 0.8 ft x 1 ft
Step-by-step explanation:
The scale factor of 1/5 means you multiply
the dimensions by 1/5
4 * 1/5 = 0.8
5 * 1/5 = 1
Answer:
C. 0.8 ft x 1 ft
Step-by-step explanation:
Patel squeezed oranges so that his family could have fresh-squeezed juice for breakfast. He squeezed 4/17 cups from the first orange, 3/10 cups from the second orange, 9/20cups from the third orange, 3/11 cups from the fourth orange, and 7/15 cups from the fifth orange. Patel estimates that he needs 2 cups of orange juice for his family. About how much more orange juice does he need to reach his estimate
Answer:
He needs 0.275 cups of orange juice to reach his estimates
Step-by-step explanation:
Patel estimates he needs 2 cups of orange juice for his family . He squeezed fresh juice from 5 different oranges and got the following quantities measured in cups.
4/17 cups, 3/10 cups , 9/20 cups, 3/11 cups and 7/15 cups.
Adding them together we will know the amount he got. Therefore,
4/17 + 3/10 + 9/20 + 3/11 + 7/15
(40 + 51)/170 + 9/20 + 3/11 + 7/15
91/170 + 9/20 + (45 + 77)/165
(1820 + 1530)/3400 + 122/165
3350/3400 + 122/165
0.98529411764 + 0.73939393939
1.72468805703
Patel got approximately 1.725 cups of orange juice . He will require 2 - 1.725 = 0.275 cups of orange juice to reach his estimates.
1/2 cup of orange juice
Simple question
Just don’t know how to put it in
please :))
Answer:
A. 102
B. 78
Step-by-step explanation:
mEG = 360 - 258 = 102°
m∠EFG = 1/2 ( major arc - manor arc) = 1/2 (258 - 102) = 78°
plz help ASP i need hyelp
Answer:
equilateral acute
Step-by-step explanation:
Answer:
Equilateral Acute Triangle
Step-by-step explanation:
n x 3 = what’s the answer
Answer:
3n
Step-by-step explanation:
In ABC, if the lengths of sides a and c are 8 centimeters and 16 centimeters, respectively, and the measure of C is 35 degrees, what is the measure of A to two decimal places
Answer:
∠ A ≈ 16.67°
Step-by-step explanation:
Using the Sine rule in Δ ABC
[tex]\frac{a}{sinA}[/tex] = [tex]\frac{c}{sinC}[/tex] , substitute values
[tex]\frac{8}{sinA}[/tex] = [tex]\frac{16}{sin35}[/tex] ( cross- multiply )
16 sinA = 8 sin35° ( divide both sides by 16 )
sin A = [tex]\frac{8sin35}{16}[/tex] , thus
∠ A = [tex]sin^{-1}[/tex] ( [tex]\frac{8sin35}{16}[/tex] ) ≈ 16.67° ( to 2 dec. places )
130 apples at the party. There were 3 times as many yellow apples as green apples, there were twice as many red apples as yellow apples. How many red apples were at the party
Answer: There were 78 red apples at the party.
Step-by-step explanation:
This situation can be represented by the equation
x + 3x + 2(3x) = 130 where x is the number of green apples, 3x is the number of yellow apples and 2(3x) is the number of red apples.
Now solve for x
x +3x +2(3x) =130
4x + 6x = 130
10x = 130
x = 13
Now we know that x is 13 so put it into the expression for red apples and solve for the actual number of red apples.
2 * (3*13) = ?
2 * 39 = 78