Answers
Answer:
C. 7
Step-by-step explanation:
[tex] In\: \triangle ABC\\
\overline{PQ} \parallel \overline {BC}.. (given) \\[/tex]
Therefore, by Basic Proportionality theorem:
[tex] \frac{AP}{PB} = \frac{AQ}{QC} \\\\
\therefore \frac{x}{x+7} = \frac{x-3}{x+1} \\\\
\therefore \: \frac{x - x - 7}{x + 7} = \frac{x - 3 - x - 1}{x + 1} \\ (by \: dividendo) \\ \\ \frac{ - 7}{x + 7} = \frac{ - 4}{x + 1} \\ \\ \frac{7}{x + 7} = \frac{4}{x + 1} \\ \\ 7x + 7 = 4x + 28 \\ \\ 7x - 4x = 28 - 7 \\ \\ 3x = 21 \\ \\ x = \frac{21}{3} \\ \\ \huge \red{ \boxed{ x = 7}}[/tex]
Related Questions
Here is the same number machine.
Input
Output
x 2
+ 3
17
Work out the input when the output is 17.
Answers
You do the number machine ‘in reverse’ to figure it out from output to input.
17 - 3 = 14
14 / 2 = 7
2 The following functions are equivalent.
Sketch a graph and label the points.
f (2) = 3 (x + 4) (x – 4)
f (x) = 3x2 - 48
Answers
i just need help with this one question
Answers
Answer: 1/4 chance of picking red
Step-by-step explanation: There are 120 buttons in all, so the fraction of red marbles is 30/120. 30/120 = 1/4
Hope this helps!
Answer:
30/120
Step-by-step explanation:
Add 30+30+60
120/ 4 because 60/2 is 30 so thats two 30s
then there is a 30 out of 120 chance it is red
75% of the items collected at the food drive were cans of soup. If 90 cans of soup were
collected, how many items were collected in all?
Answers
Answer:
67.5
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
If 90 cans of soup were collected and it was 75%, take 90/3=30. If 25% of all cans is 30 then when you multiply by 4, to get 100%, you have 120 cans. Also 120/75%= 90
x^2 plus 2y divideed by 2x plus 3z equal
Answers
Answer:
(x^2 plus 2y")
--------------------
2x(2x + 3)
Step-by-step explanation:
Doing this problem correctly requires the application of "order of operations" rules. "x^2 plus 2y" actually means "(x^2 plus 2y"), and so your
x^2 plus 2y divided by 2x
comes out to:
(x^2 plus 2y")
--------------------
2x
If we now divide this result by "2x plus 3z," we get:
(x^2 plus 2y")
--------------------
2x
================
2x + 3
or:
(x^2 plus 2y")
--------------------
2x(2x + 3)
Craig likes to collect records. Last year he had 10 records in his collection. Now he has 11 records. What is the percent increase of his collection?
Answers
Answer:
40%
Step-by-step explanation:
The manager of an art supply store decides to hold a Buy 2, Get 1 Free sale on tubes of watercolor paints. The sale is held for one week and a total of 280 tubes of paint were sold (not including the ones given away for free). If each tube of watercolor paint cost the store $7.25, how much money did the store lose by giving away the free tubes of paint?
Answers
Answer:
$1015
Step-by-step explanation:
280 divided by 2 140 times $7.25 is $1015
The amount of money that the store lose by giving away the free tubes of paint is $1015.
Since the manager held Buy 2, Get 1 Free sale on tubes of watercolor paints, then when 280 tubes of paints are sold, 1/2 × 280 = 140 tubes of paints will be given out for free.
Therefore, the amount lost will be calculated by multiplying the number of paints given out by the price. This will be:
= 140 × $7.25
= $1015
Therefore, the amount of money that the store lose by giving away the free tubes of paint is $1015.
Read related link on:
https://brainly.com/question/18874560
When it is about 68°F, crickets chirp 124 times a minute. When it is about 80°F, they chirp 172 times a minute. WRITE an equation in POINT SLOPE FORM for the line that models this situation.
Answers
Answer:
4x+148
Step-by-step explanation:
Let the temperature be x and time taken by cricket to chirp be y
if when it is about 68°F, crickets chirp 124 times a minute, this means;
at x1 = 68, y1 = 124
If it is about 80°F, they chirp 172 times a minute, then;
at x2 = 80, y2 = 172
The standard form of equation in point slope form is expressed as;
y-y0 = m(x-x0)
m is the slope
(x0, y0) is a point on the line.
First we need to get the slope.
m = y2-y1/x2-x1
m = 172-124/80-68
m = 48/12
m =4
Substitute m = 4 and any point into the expression above. Using the coordinate (68, 124)
get the intercept c
124 = 4(68) + c
c = 272-124
c = 148
The required equation is expressed as y = 4x+148 OR y - 124 = 4(x-68)
Find an equation in slope-intercept form of the line that has a slope -7 and passes through point A(-7, -2)
A. y = 7x - 51 B. y = -7x - 51 C. y = -7x + 51 D. y = 51x - 7
Answers
Answer:
slope(m)=change in y/change in x
-7=y-(-2)/x-(-7)
-7=y+2/x+7
-7(x+7)=y+2
-7x-49=y+2
-7x-49-2=y
-7x-51=y (B)
someone please help
Answers
Answer:A
Step-by-step explanation:
Answer:
Most likely A.
Step-by-step explanation: I'm guessing, but kinda makes sense because since there are 76 parking spaces, the probability will be decently low
A 4-cup container of disinfectant costs $4.68. What is the price per pint?
$
Submit
Answers
hello! um what is the equivalent to 3/7?
Answers
Answer:
9 goes in the blank
Step-by-step explanation:
Since 21 divided by 7 is 3 then you would have to multiply 3 to the numerator to get the equivalent. Hope this helped :)
Answer:
9/21
Step-by-step explanation:
multiply the numerator and denominator by 3 and you will get 9/21
HELP I WILL CROWN BRAINLIEST
One question only
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
AOBC is a parallelogram ,
Thus :
[tex]OA = BC = a[/tex]
And ;
[tex]AC = OB = b [/tex]
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M is the midpoint of AC ,
So :
[tex]AM = MC = \frac{b}{2} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
According to case of Cosine in ∆ OAM :
[tex] {OM}^{2} = {OA}^{2} + {AM}^{2} - 2( OA) \times ( AM) \times \cos(A) \\ [/tex]
So :
[tex] {OM}^{2} = {a}^{2} + \frac{ {b}^{2} }{4} - 2(a)( \frac{b}{2} ) \cos(A) \\ [/tex]
[tex] {OM}^{2} = \frac{4 {a}^{2} + b}{4} - ab \cos(A) \\ [/tex]
_________________________________
I have something more to tell.
Just for know more...
According to the case of Sine in ∆ OAM :
[tex] \frac{OM}{ sin(A) } = \frac{
AM}{ \sin(O) } = \frac{OA}{ \sin(M) } \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
3 3/4 divided by 3/4
Answers
Answer:
5
Step-by-step explanation:
3 3/4 divided by 3/4 is equal to 15/4 divided by 3/4
which is 15/4 times 4/3 the 4's cancel each other out making it 15/3 which is 5
Answer:
The answer is 5
Step-by-step explanation:
i dont really know how i know it just do.
I'm not sure what to do about this problem, so please help me out.
Answers
Answer:
21
Step-by-step explanation:
Let the three consecutive integers be;
x , x + 1 and x + 2:
The sum of squares of the two smaller numbers:
The two smaller numbers are x and x+ 1
Sum of their squares:
x² + (x+1)²;
x² + x² + 2x + 1 = 2x² + 2x + 1
It is 45 more than the square of the larger number:
Larger number = x + 2
(x+2)² = x² + 4x + 4
45 more;
x² + 4x + 4 + 45 = x² + 4x + 49
Both are equal:
2x² + 2x + 1 = x² + 4x + 49
2x² - x² + 2x - 4x + 1 - 49 = 0
x² - 2x - 48 = 0
x² - 6x + 8x - 48 = 0
x(x - 6) + 8(x - 6) = 0
(x + 8)(x-6) = 0
x + 8 = 0 or x - 6 = 0
x = -8 or x = 6
We choose x = 6 because it makes the solution true as a positive integer
Sum of the three numbers:
x + x + 1 + x + 2 = 6 + 6 + 1 + 6 + 2 = 21
In a theme park the roller coaster is six times more popular than the big swingboat. How would you write this as a ratio?
A) 1:6 B) 6:1 C) 6:6
Answers
Answer:
A - 1:6
Step-by-step explanation:
Find the hypothesis for side a 16 side b 20
Answers
I think you mean to say "hypotenuse". If so, then use the pythagorean theorem to get the following
a^2 + b^2 = c^2
16^2 + 20^2 = c^2
256 + 400 = c^2
656 = c^2
c^2 = 656
c = sqrt(656)
c = sqrt(16*41)
c = sqrt(16)*sqrt(41)
c = 4*sqrt(41)
The hypotenuse is exactly 4*sqrt(41) units long
This is approximately 25.612 when you use your calculator.
A huge wave came along and sent four gold coins into the air. Which four numbers are greater than
−1
8
?
Negative StartFraction 2 Over 8 EndFraction, negative StartFraction 3 Over 8 EndFraction, negative StartFraction 4 Over 8 EndFraction, Negative StartFraction 5 Over 8 EndFraction
StartFraction 1 Over 8 EndFraction, StartFraction 2 Over 8 EndFraction, StartFraction 3 Over 8 EndFraction, one-half
Negative 1 and StartFraction 1 Over 8 EndFraction, negative 1 and three-fourths, negative 1 and one-half, negative 1
Negative one-fourth, negative three-fourths, negative StartFraction 4 Over 4 EndFraction, negative 1 and one-fourth
Answers
Answer:
B
Step-by-step explanation:
i got it right
GUYS PLS HELP ME, its math and I'm really stuck
Answers
Answer:
B. 1/2
Step-by-step explanation:
You can see that when two weeks that pass, the plant grows one inch. This rate can be written as 1 inch : 2 weeks. But, we need to find the unit rate. To find the unit rate, or how many inches the plant grows per week, we divide both by 2.
1/2 inch : 1 week
1/2
I Hope That This Helps! :)
Will give brainliest if correct.
Answers
Answer:
The x-intercept is 4,0. The y-intercept is 0,2.
Step-by-step explanation:
when your finding an intercept you make the other intercept 0. This means the equation to find the x-intercept would look like 5x = 20. This is because they = 0, which means 10 x 0 is 0. Then you use the inverse operation so since it's 5 * x, it will be 20 ÷ 5 which is 4. Do the same thing with the y-intercept. Instead of changing the y to a 0, change the x. Using the inverse operation you get 2.
Have a nice day!
Y-intercept = (0,2)
To find the x intercept make y = 0
5x + 10(0) = 20
5x = 20
x = 4
So (4,0)
To find the y intercept make x = 0
5(0) + 10y = 20
10y = 20
y = 2
So (0,2)
find 6 rational numbers between 8 and 9
Answers
Answer:
Step-by-step explanation:
8,1 8,2
8,3 8,4
8,5 8,6
Determine if the expression x2 + 1 is a
polynomial or not. If it is a polynomial,
state the type and degree of the
polynomimal.
Answers
Answer:
Yes it is,
Step-by-step explanation:
Degree 1 (Exp 1) and it has 2 elements (2X and 1)
Please help! I need to answer this last question, and it was due last night!! Will chose Brainliest!! Just find the missing measures!
Answers
What is the y-intercept?
4
Answers
Answer:
A y-intercept of -4 means that the graph of a line crosses the Y-axis at the point (0,-4)
Step-by-step explanation:
Don bought 3/4 of a pound of jelly beans and ate 5/8 of the jelly beans before he got home. How much candy was left?
Answers
Answer:
CAN YOU MARK ME BRAINLIEST ??
The answer is 1/8 candy left!!
Step-by-step explanation:
3/4=6/8 because x2.
6/8-5/8= 1/8
Answer:
1/8 of the jelly beans
Step-by-step explanation:
You need to create a common denominator between the two fractions. Since both 4 and 8 go into 8, that will be the common denominator. To get 4 to 8, you have to multiply by 2, so to even it out you multiply the numerator by 2(3x2) which equals 6. Now the first fraction is 6/8 and the second is still 5/8. If he ate 5/8 of 6/8 jelly beans, you need to subtract. 6/8 minus 5/8 is 1/8
joyce traveled at an average speed of 60 miles per hour for 4.5 hours and then traveled at an average speed of 35 miles per hour for 1.5 hours. What was the total distance in miles that joyce traveled during this time ?
Answers
Answer:
322 1/2 miles
Step-by-step explanation:
Recall how s = d/t ; speed = distance/time.
To effectively solve for distance traveled, rearrange the formula so that distance is on the left-hand side by multiplying speed, and time.
speed × time = distance/time × time
speed × time = distance
distance = speed × time ; d = st.
Now to find the total distance traveled, individually multiply the rate of speed with the time. Time will cancel, and we will get the total mileage.
Given an average speed of 60 mph at a certain time for 4.5 hours, and another average speed of 35 mph at another time of 1.5. Calculate the distance individually, and then add both distances together. Distance 1 = 60 mph × 4.5 h = 60 miles / h × 4.5h = 60 miles × 4.5 = 270 miles.
Distance 2 = 35mph × 1.5h = 35 miles / h × 1.5h = 35 miles × 1.5 = 52 1/2 miles.
Distance 1 + Distance 2 = Total distance.
270 miles + 52 1/2 miles = 322 1/2 miles.
Can someone fill in the blanks please ?? 30 points
Answers
Step-by-step explanation:
[tex]2,4,5[/tex]
Is your answerWhat words do I fill the blanks in with? Please hurry <3
Answers
Answer:
It says why you suck at cooking
Hope this helps!! :D
The first four terms of a sequence are shown below:
18, 25, 32, 39, ...
What is the first term and the common difference?
Answers
Answer:
The first term would be 18 ig, and then the common differnce would be 7.
Step-by-step explanation:
The rule to the sequence is that they are adding by 7 every term.
Evaluate: f(x) = x + 7
a. f(5) =
b. f(-1) =
c. f(-3) =
Answers
Answer:
Step-by-step explanation:
a. f(5) = 5+7 = 12
b. f(-1) = -1+7 =6
c. f(-3) = -3+7 =4
b. -1+7=6
c. -3+7=4