Answer:
Part A: One | Part B: x = 4
Step-by-step explanation:
[tex]3(2x-7)=3\\6x-21=3\\6x=24\\x=4[/tex]
Answer:
4
Step-by-step explanation:
3(2x _7)=3
multiply 3 by everything in the bracket
6x-21 = 3
move 21 to the other side of the equation,it becomes positive sine it crosses the = sign
6x = 3+21
6x =24
divide both sides by 6
6x/6=24/6
x = 4
use the ratio of a 30-60-90 triangle to solve for the variables.
Answer:
[tex]x=12,\\y=6\sqrt{3}[/tex]
Step-by-step explanation:
In all 30-60-90 triangles, the side lengths are in ratio [tex]x:x\sqrt{3}:2x[/tex], where [tex]x[/tex] is the side opposite to the 30 degree angle and [tex]2x[/tex] is the hypotenuse, or longest side, of the triangle.
Since there are 180 degrees in a triangle, the angle on top must be 30 degrees. Therefore, its opposite side is 6 and [tex]x=6[/tex] in the ratio [tex]x:x\sqrt{3}:2x[/tex].
Thus, we have:
[tex]y=\boxed{6\sqrt{3}},\\x=2\cdot 6=\boxed{12}[/tex]
Mike, the barista at Moose Jaw Coffee, has to mix together two kinds of coffee beans - Mocha Madness, which costs $12 a pound, and Sumatra Sweetness, which costs $20 a pound - to produce forty pounds of a coffee that costs $14 a pound. The beans in the mixture sell for the same price as they would separately. How many pounds of Mocha Madness coffee will Mike put into the mixture
Answer:
mocha madness = 30 pounds
Step-by-step explanation:
Let
x = Mocha Madness
y = Sumatra Sweetness
two equations can be derived from the question
x + y = 40 equation 1
12x + 20y = 14 x 40 equation 2
Multiply equation 1 by 12
12x + 12y = 480 eqn 3
subtract eqn 2 from 3
8y = 80
y = 10
substitute for y in equation 1
x + 10 = 40
x = 40 - 10
x = 30
8y = 180
y = 10 pounds
x = 30 pounds
What number :
Decreased by 0% is 800 ?
Answer:
800
Step-by-step explanation:
0℅ decrease of 800=800
sequence of number - 25,23,20,16
find next three term
do with process
Answer:
11,5,-2
is the answer. I hope it will help you.
∫(x+1)/(x2+2)2x−3dx need help with this question. can you show the process
do you need to include the wiggle infront of the first bracket? if not;
(x+1) ÷ [(x^2+2) x (2x-3dx)]
x^2 x 2x = 2x^3
x^2 x -3dx = -3dx^3
2 x 2x = 4x
2 x -3dx = - 6dx
i cant find a way to make it equal 0 so i think the answer is just
x+1 over 2x^3 - 3dx^3 + 4x - 6dx as a fraction
The sets A and L are given below.
A = (a, b, e}
L={c, k,j}
Find the intersection of A and L.
Find the union of A and L.
Write your answer using notation (in roster form)
Help plzzz
Step-by-step explanation:
A n L =null
A U L= a,b,c,e,k,j
Planes T and X are parallel. Plane T contains line a. Plane X contains line b. Planes T and X are parallel. Plane T contains line a and plane X contains line b. Which best explains the relationship between lines a and b? They are skew and will never intersect. They are parallel and will never intersect. They are perpendicular and will intersect. They will intersect at two points.
Answer:
The answer is "They are skew and will never intersect".
Step-by-step explanation:
Please find the graph file in the attachment.
In the given scenario, since the two lines are neither parallel nor intersect, these are skewed. Each line will be in a parallel plane, therefore prevents them from crossing each other. Parallel indicates traveling in the same direction, but not converging or diverging.
Answer:
A or ,They are skew and will never intersect.
Step-by-step explanation:
edge 2021
c) Workout using factorization. Show all your working. 9.9²- 0.1²
Answer:
98
Step-by-step explanation:
1) You shulduse the formula x^2-y^2= (x-y)(x+y)
That obvious, that 9.9 is considered as x, and 0.1 as y
2) So 9.9²- 0.1²= (9.9-0.1) * (9.9+0.1)=9.8*10=98
Triangle ABC is shown below.
What is the length of line segment AC?
7
DS
9
2x
3x - 7
O 14
18
B
4x - 10
с
Mark this and return
Save and Exit
Next
Submit
Answer:
14
Step-by-step explanation:
[tex]angle \: b = angle \: c \: thus \: ab = ac[/tex]
[tex]2x = 3x - 7 \\ 2x - 3x = - 7 \\ - x = - 7 \\ x = 7[/tex]
[tex]ac = 3x - 7 = 14[/tex]
Solve the equation | 7x + 5| = |3x - 13|
I 7X + 5 I = I 3X- 13I
7×+5 = 3x +13
7X-3x = 13-5
4x = 8
X= 8/4
X=2
What is (9.3x10^34)
(3.1x10^17) in scientific notation?
Answer:
3x10^17
Step-by-step explanation:
(9.3/3.1) * 10^(34-17) = 3^17
law of indices, x^m/x^n =x^m-n
determinar el decimal correspondiente
A)71% B)172% C)6%
[tex]71\% = \frac{70}{100} = \frac{7}{10} = 0.7 \\ 172\% = \frac{172}{100} = 1.72 \\ 6\% = \frac{6}{100} = 0.06[/tex]
need help with this!!
Answer:
The answer is B..... The corresponding is the identical number between all
The is 7 in each...
COULD SOMEONE PLEASE HELP ME (PICTURE) ITS URGENT MARKING BRAINLIEST 15 POINTS
Which graph shows the solution to y< -x+3?
Answer:
graph b is your answer
Step-by-step explanation:
I hope this help and have a great day
Answer:
The answer is B.
Step-by-step explanation:
Select 2 strategies that we can use to subtract 563-192
A. Add 100 + 90 + 2
B. Evaluate (563 - 200) + 8
C. Subtract 571 - 200
Answer:
B and C
Step-by-step explanation:
A = 192
B = (563 - 200) + 8 = 371
C = 571 - 200 = 371
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD = 4 and dc =2 what is the length of ad
Question is slightly wrong .We have to find BD
AD=4CD=2we know
[tex]\boxed{\sf BD^2=AD\times DC}[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow BD^2=4\times 2[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow BD^2=8[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow BD=\sqrt{8}[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow BD=2√2[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow BD=2(1.4)[/tex]
[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow BD=2.8[/tex]
A=E
BCE=90
BF=AC
AC=EC
==========================================================
Explanation:
HL stands for Hypotenuse Leg. This rule works only for right triangles.
So we must have two hypotenuses that are congruent, and we must have two legs that are congruent
The diagram shows that AB = DE are the congruent hypotenuses. So we have "H" taken care of. We just need the "L" portion.
We can see that only choice D works, which is AC = EC. If we knew that AC and EC were the congruent legs, then we have enough info to use HL.
A watch seller gained 20% by selling a watch for rupees 1260. what was its cost price and if we add gain 30% at what price should have it sold
Answer:
1365 rupees
Step-by-step explanation:
1. Approach
The easiest method to solve this problem is via the method of proportions. One can use a proportion to find the original price of the watch. Then one can find the price of the watch if the watch had a (30%) mark up, by using a proportion.
2. Find the original price
Remember, the general format of a proportion is the following:
[tex]\frac{part}{total}=\frac{percent}{100}[/tex]
The following information is given:
The watch sold for (1260) rupees which is (120%) of the original price. Remember, there was a (20%) gain, meaning that the seller recovered (120%) of the price, in essence, the price of the watch, plus (20%) extra, thus (120%). Substitute these values into the proportion and solve,
[tex]\frac{part}{total}=\frac{percent}{100}[/tex]
[tex]\frac{1260}{total}=\frac{120}{100}[/tex]
Simplify,
[tex]\frac{1260}{total}=\frac{120}{100}[/tex]
[tex]\frac{1260}{total}=\frac{6}{5}[/tex]
Cross product,
[tex]\frac{1260}{total}=\frac{6}{5}[/tex]
[tex](5)(1260)=(6)(total)[/tex]
Simplify,
[tex](5)(1260)=(6)(total)[/tex]
[tex]6300=6*total[/tex]
Inverse operations,
[tex]6300=6*total[/tex]
[tex]1050=total[/tex]
3. Find the price if the mark up is (30%)
Now, one knows the original price of the watch. Set up a proportion to find the price of the watch if there is a (30%) mark up. Use the same logic to set up this proportion as was used to set up the last one. The (percent) will be (130%) because the new price of the watch is (130%) of the original watch.
[tex]\frac{part}{total}=\frac{percent}{100}[/tex]
Substitute,
[tex]\frac{part}{total}=\frac{percent}{100}[/tex]
[tex]\frac{part}{1050}=\frac{130}{100}[/tex]
Simplify,
[tex]\frac{part}{1050}=\frac{130}{100}[/tex]
[tex]\frac{part}{1050}=\frac{13}{10}[/tex]
Cross products,
[tex]\frac{part}{1050}=\frac{13}{10}[/tex]
[tex](10)(part)=(13)(1050)[/tex]
Simplify,
[tex](10)(part)=(13)(1050)[/tex]
[tex]10*part=13650[/tex]
Inverse operations,
[tex]10*part=13650[/tex]
[tex]part=1365[/tex]
Thus, the price after the (30%) is (1365) rupees.
Write the quotient as a single power?
[tex]\frac{7^4}{7^0}[/tex]
7^4/7^0
= 7^4/1 (n^0 = 1)
= 7^4
Must click thanks and mark brainliest
Which function is the inverse of h(x) = 18x+7/3 ?
Question 10 options
Answer:
Out of those choices, the answer in the first image makes the most sense
Can someone help me with all 3
Answer:
1) 20
2) 60
3) 10
4) 90
Step-by-step explanation:
1. first quartile is the beginning of the box
2. third quartile is the end of the box
3. lowest is the first point of the graph
4. vice versa of 3
What is the equation of the line passing through the points (2, -1) and (5, -10) in slope-intercept form? O y=-3x-5 O y=-3x+5 O Y= 3x-5 O y = 3x + 5
Answer:
y= -3x+5
Step-by-step explanation:
firstly find the gradient given by the formula
m=y2-y1/x2-x1
so in this case y2 is -10,x2 is 5,y1 is -1 and x1 is 2
m= -10+1/5-2
m= -9/3
= -3
after finding the gradient use the equation
y-y1=m( x-x1)
y+1= -3(x-2)
y+1= -3x+6
y= -3x+6-1
y= -3x+5
I hope this helps
This is the recursive formula for a geometric sequence:
f(1)=8,000
f(n)=1/2(n − 1), for n > 2
What is the fifth term in the sequence?
Answer:
Step-by-step explanation:
f(1) = 8000
f(2) = 1/2(n - 1)
f(2) = 1/2(2 - 1)
f(2) = 1/2 Note: this really does not make sense. I think what you mean is 1/2*f(n-1). If this is true, leave a note within the next hour.
Answer:
f(5) = 500
Step-by-step explanation:
Using the recursive rule and f(1) = 8000 , then
f(2) = [tex]\frac{1}{2}[/tex] f(1) = [tex]\frac{1}{2}[/tex] × 8000 = 4000
f(3) = [tex]\frac{1}{2}[/tex] f(2) = [tex]\frac{1}{2}[/tex] × 4000 = 2000
f(4) = [tex]\frac{1}{2}[/tex] f(3) = [tex]\frac{1}{2}[/tex] × 2000 = 1000
f(5) = [tex]\frac{1}{2}[/tex] f(4) = [tex]\frac{1}{2}[/tex] × 1000 = 500
What is the probability of an event that is certain?
PLEASE HELPPP!!
Answer:
I think it would be 100%
Step-by-step explanation: because it is certain that means its going to happen
Prachi was 555 kilometers east of her home when she began driving farther east at 707070 kilometers per hour. Let f(n)f(n)f, left parenthesis, n, right parenthesis be Prachi's distance from her home at the beginning of the n^\text{th}n th n, start superscript, start text, t, h, end text, end superscript hour of her drive.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Whenever she began to drive farther east, at 70 km per hour, Prachi was 5 km east of her home.
Let f(n) at the beginning of her nth hour drive be Prachi's distance to her home.
f is a sequence of arithmetic.
Write a series explicit form.
[tex]\to f(n) = 70n + 5[/tex]
Answer:
Arithmetic Sequence, f(n)=5+70(n-1)
Step-by-step explanation:
checked on khan
On Saturday, the fruit and juice bar was selling 22 glasses of fruit punch an hour. By 4 p.m., they had sold 132 glasses. If their goal was to sell more than 264 glasses of fruit punch, which inequality can be used to find h, the number of hours they must stay open to make their goal?
A. 132 + 22h > 264
B. 22h < 264 + 132
C. 132 + 22h < 264
D. 132 + 264 > 22h
Answer:
A. 132 + 22h > 264
Step-by-step explanation:
Hourly sales = 22 glasses of fruit punch
Sales by 4 p.m = 132 glasses
Goal = more than 264 glasses
h = number of hours they must stay open to make their goal
The inequality:
132 + 22h > 264
22h > 264 - 132
22h > 132
h > 132/22
h > 6 hours
This means, the number of hours they must stay open to make their goal of more than 264 glasses is more than 6 hours
Determine what type of transformation is represented. A. translation B. reflection C. none of these D. rotation
Answer:
D. rotation
uhhhh I need 20 characters so
Rotation is correct because the triangle ABC is rotated about the mid-point of B and B'. Then the correct option is D.
What is a transformation of geometry?A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.
Reflection does not change the size and shape of the geometry. But flip the image.
Rotation does not change the size and shape of the geometry. But change the orientation of the image.
Translation does not change the size and shape of the geometry. But change the location of the shape.
Check all the options.
Translation is incorrect because orientation of the triangle is changed.
Reflection is incorrect because the line of the reflection is not possible for the triangles.
Rotation is correct because the triangle ABC is rotated about the mid-point of B and B'.
Then the correct option is D.
More about the transformation of geometry link is given below.
https://brainly.com/question/22532832
#SPJ5
SOMEONE HELP ME PLEASE
help mee pls plss fast
Difference between a 1 inch button and ⅜ inch button
[tex] = 1 \: inch - \frac{3}{8} \: inch \\ = \frac{8}{8} \: inch - \frac{3}{3} \: inch \\ = \frac{(8 - 3)}{8} \: inch \\ = \frac{5}{8} \: inch[/tex]
Answer:
5/8
Step-by-step explanation:
To determine the difference, we do:
1 - 3/8
8/8 - 3/8
5/8
A 1 inch button is 5/8 inches longer than a 3/8 inch button.
