9514 1404 393
Answer:
x = 10
Step-by-step explanation:
In order for TV to be parallel to QS, it must divide the sides of the triangle proportionally.
RT/TQ = RV/VS
(x+4)/(x-3) = (x+10)/(x)
1 +7/(x-3) = 1 +10/x . . . . expand each fraction
7/(x -3) = 10/x . . . . . . . . subtract 1
7x = 10(x -3) . . . . . . . . . cross multiply
30 = 3x . . . . . . . . . . . . add 30-7x, simplify
10 = x . . . . . . . . . . . . . . divide by 3
The value of x that makes the segments parallel is 10.
_____
Alternate solution
You can cross multiply the first fraction we wrote to get ...
x(x +4) = (x -3)(x +10)
x^2 +4x = x^2 +7x -30 . . . eliminate parentheses
30 = 3x . . . . . . subtract x^2+4x-30 from both sides
Answer: C. 10
Step-by-step explanation:
i got it right on the test
Solve the equation 6X+2=74
Pls help me
A) 54
B) 108
C) 3
D) 18
The answer is 54 I believe.
cause 9 × 6 is 54.
Which expression is equivalent to -2 (x +7) - 6x
A. -8x + 14
B. 4x + 14
C. 8x - 7
D. -8x - 7
Consider f(x) = 1.8x – 10 and g(x) = −4.
A 2 column table with 6 rows. The first column, x, has the entries, negative 4, 0, 2, 4. The second column, f(x) has the entries, negative 17.2, negative 13.6, negative 10, negative 6.4, negative 2.8. A 2 column table with 6 rows. The first column, x, has the entries, negative 4, 0, 2, 4. The second column, fgx) has the entries, negative 17.2, negative 4, negative 4, negative 4, negative 4.
Select the equation that can be used to find the input value at which f (x ) = g (x ), and then use that equation to find the input, or x -value.
1.8x – 10 = –4; x = 1.8 x minus 10 equals negative 4; x equals StartFraction 10 Over 2 EndFraction.
1.8x = –4; x = 1.8 x equals negative 4; x equals negative StartFraction 20 over 9 EndFraction.
1.8x – 10 = –4; x = A 2 column table with 6 rows. The first column, x, has the entries, negative 4, 0, 2, 4. The second column, f(x) has the entries, negative 17.2, negative 4, negative 4, negative 4, negative 4.
–4 = x
Answer:
I got you
Step-by-step explanation:
A
Answer:
A. 1.8x – 10 = -4x = 10/3
Step-by-step explanation:
I did the assignment
2/3-5/9 find each difference
Answer:
1/9
Step-by-step explanation:
6-5/9
1/9
Answer:
2/3=6/9 (Equilising denominators using lcm)
Now we have equal denominators, so can subtract.
Therefore,
6/9-5/9
=6-5/9
=1/9
Find the quotient. 5/6 divided by 1/6
Answer:
5
6
÷
1
6
=
5
6
×
6
1
=
5 × 6
6 × 1
=
30
6
=
30 ÷ 6
6 ÷ 6
= 5
the awnser would be 5
Step-by-step explanation:
Answer:
5/6 x 6/1=30/6=5 The answer is 5
Step-by-step explanation:
Mark brainliest please
You deposit $1,500 in an account earning 2.75% simple interest. How long will it take for the
balance of the account to be $1,995.
Answer:
12 years if interest is paid yearly
12 months if interest is paid monthly
Step-by-step explanation:
2.75% of $1500 is $41.25 interest per period
$1995-$1500 = $495 total interest
$495 ÷ $41.25 = 12 periods
Therefore it takes 12 interest periods to reach $1995, so the answer is 12 months or 12 years depending on how often interest is paid.
If 210 people said football was their favorite sport to watch, how many people were surveyed? 42% said football.
Answer:
500 people surveyed
Step-by-step explanation:
210 / 42 = 5
5 x 100 = 500
Answer:
500 people were surveyed
Step-by-step explanation:
Let the total number of people surveyed be x
42% said football was their favorite sport to watch
=> 42/100 x = 210
=> x = (210 × 100) / 42
=> x = 21000 / 42
=> x = 500
Therefore, 500 people were surveyed.
Hope it helps :)
Please mark my answer as the brainliest
Prove that the value of the expression: 731^3−631^3 is divisible by 100
Answer:
is divisible by((731^3) - (631^3), 100) = True
Step-by-step explanation:
Answer:
Step-by-step explanation:
The formula for a^3 - b^3 = (a-b)(a^2+ab+b^2)
By Substitution, (731-631) ( 731^2 + 731x631 +631^2)
= 100 ( 731^2 + 731x631 +631^2)
Therefore it is divisible by 100
An area of a wall is 50 in. wide and 35 in. high. Will a mirror with a 62 in. diagonal fit in it? Identify the correct explanation.
Answer:
yes
Step-by-step explanation:
i used the pythagorean theorem and used 50 and 35 as the legs and the diagonal as the hypotenuse
35² + 50² = c²
c² = 3725
c = [tex]\sqrt{3725}[/tex], which is 61.03
since 61.03 is less than 62" then it should fit in
No, Given Mirror will be not fit in the wall.
Here, we use Pythagoras theorem
Base is 50 inch , Height is 35 inch
Now we have to find hypotenuse
[tex]h^{2} =(50)^{2}+(35)^{2} \\\\h^{2}=2500+1225=3725\\\\h=\sqrt{3725}=61.03[/tex]
Since, Diagonal length of wall is 61.03 inch which is less than mirror diagonal length.
Therefore, mirror is not fit in the wall.
Learn more:
https://brainly.com/question/13391411
Can sumone please help with this. Its super late and I need help
Answer:
i graphed it for you in a calculator
Help pre- algebra
:DD
Answer:
Calzones are $ 8 and an Empanada costs $12
Step-by-step explanation:
2x+3y=52
4x+3y=68
Multiply by -1
-2x-3y=-52
4x+3y=68
combine
2x=16
x=8
plug in 8
4(8)+3y=68
32+3y=68
3y=36
y=12
Step-by-step explanation:
step 1. 2c + 3e = 52, 4c + 3e = 68.
step 2. this is a system of equations. solve the system.
step 3. subtract the 1st equation from the 2nd.
step 4. 2c = 16, therefore c = 8.
step 5. 2(8) + 3e = 52. 3e = 36. e = 12.
step 6. calzones = 8, empanadas = 12.
PLEASE ANSWER FAST
Evaluate ab^2-4 divided by 10 when a=4 b=6
Answer:
Step-by-step explanation:
((a)(b)^2 - 4)/10
((4)(6)^2 - 4)/10
((4)(36)-4))/10
(144-4)/10
140/10
14
A caterpillar crawling in a straight line across a coordinate plane starts at point (-3,
-4) and ends at point (25, 38). Counting the start point and end point, how many
points with integer coordinates does the caterpillar touch?
9514 1404 393
Answer:
15
Step-by-step explanation:
In vector form, the equation of point p on the line can be written as ...
p = (-3, -4) +t(25 -(-3), 38 -(-4)) . . . . . for some scalar t
p = (-3, -4) +t(28, 42)
p = (-3, -4) +14t(2, 3)
where t takes on any value between 0 and 1.
If we let t = n/14 for some integer 0 ≤ n ≤ 14, then the coordinates of point p will be integers.
There are 15 values that n can have in the allowed range.
The caterpillar touches 15 points with integer coordinates.
Dan is fertilizing his garden. The garden is in the shape of a rectangle. it's length is 16 feet and it's width is 13 feet. suppose each bag of fertilizer covers 26 square feet. How many bags will he need to cover the garden?
Answer:
Step-by-step explanation:
16ft(13ft)(b/26ft^2)=8b
So he’ll need 8 bags
Ellen is playing a video game in which she captures butterflies. There are 6 butterflies onscreen, but the number of butterflies doubles every minute. After 4 minutes, she was able to capture 8 of the butterflies.
Part 1 out of 2
Enter an expression for the number of butterflies after 4 minutes. Use a power of 2 in your answer.
Answer:
(2 x 4) - 8
Step-by-step explanation:
Write an integer for deposit of $100
Write an integer for deposit of $100:
-$100
what is the answer
y-11=25-3y
Answer:
9
Step-by-step explanation:
y-11=25-3y
y + 3y = 25 + 11
4y = 36
y = 36 / 4
y = 9
Hope it will help :)
Graph the linear function using slope intercept form
y=2x+6
A JET PLANE CARRY UP TO 200,000 LITTERS OF FUOL IT USED 130, OOO LITTERS OF FUEL DURING A FLIGHT WHAT PERCENTAGE OF THE FUOL CAPACITY DID IT USE ON THIS FLIGHT
Answer:
Step-by-step explanation:
100(13/20)=65%
Can anyone help me pweeezzzz
Answer:
17
Step-by-step explanation:
ABC, which is 9z - 1, and CBD, which is 6z + 58, make up ABD, which is a total of 87 degrees.
in order to find the measurement of ABC, you first need to solve for z.
since ABC and CBD make up ABD, add those measurements and set them equal to 87, which is the measure of ABD.
9z - 1 + 6z + 58 = 87
combine like terms starting with the z terms. (it doesn't matter which like terms you combine first)
9z - 1 + 6z + 58 = 87 ⇒ 15z - 1 + 58 = 87
combine the next set of like terms.
15z - 1 + 58 = 87 ⇒ 15z + 57 = 87
subtract 57 from both sides of the equation. it'll cancel itself out on the left, leaving you with 15z = 30 after subtracting 57 from 87.
divide both sides of the equation by 15.
15z/15 = 30/15 ⇒ z = 2
now, plug in 2 for z in each of your equations for the measurements of ABC and CBD.
ABC = 9z - 1 ⇒ 9(2) - 1 ⇒ 18 - 1 ⇒ 17
CBD = 6z + 58 ⇒ 6(2) + 58 ⇒ 12 + 58 ⇒ 70
now, your measurements are
ABD: 87
ABC: 17
CBD: 70
check your work by adding the measurements of ABC and CBD and setting them equal to ABD, or 87.
17 + 70 = 87
87 = 87
since both sides of the equation are equal to 87, you know that your measurements are correct.
therefore, the measure of ABC is 17 degrees.
Find the cosine of
A. 12/13
B. 13/12
C. 5/12
D. 5/13
Help hurry !!
Need help with this question
Answer:
Yes
5 Mins
7 blocks from home
Step-by-step explanation:
6- 1 Minute = 5 mins
Slower speed = Return Speed (Speed that took more time)
Halla el MCM de 3 y 5 enumerando múltiplos.
A. 15
B. 35
C. 53
D. 8
E. Ninguno de los anteriores
Answer:
A. 15
Step-by-step explanation:
Mínimo Común Múltiplo (MCM)
El MCM entre dos o más enteros es el menor múltiplo común a todos ellos. Por ejemplo, el MCM de 20 y 30 es 60 porque es el menor múltiplo común a ambos números.
El MCM entre 3 y 5 se puede determinar listando los múltiplos de cada uno:
Múltiplos de 3: 3, 6, 9,12, 15, 18, 21, 24
Múltiplos de 5: 5, 10, 15, 20, 25, 30
Se puede observar que el primer múltiplo que aparece en ambas listas en 15, luego la respuesta es:
A. 15
: mario ate 4 hot dogs. 1 of them had mustard on it and the rest were plain. what fraction of Marios hot dogs were plain? write an equivalent fraction for this amount..
Subject A is traveling at a constant speed ahead of subject B. If B raises its speed by 4 times, it will catch up with A in 30 minutes. If B raises its speed by 5 times, it will catch up with A in 20 minutes. How many minutes it will take for B to catch up with A if B raises its speed 6 times?
Answer:
15 minutes
Step-by-step explanation:
a) 9V3 –473 + 15 + 2/5
Answer:
the answer is 27v- 2288/5
What is the value of F(x)=3X^2 + 4 when x = -3
Answer:
31
Step-by-step explanation:
f(-3)= 3(-3)2+4= 3(9)+4= 27+4= 31
if my answer helps please mark as brainliest
You and classmate have volunteered to contact everyembervof your class by phone to inform them of an upcoming event you can complete the calls in 6 days od you woek alonw id u work togehwr you can complwte the calls in 2.4 days how long would it takw your classmate to make call alon
Answer:
what
Step-by-step explanation:
did you have a stroke?
SOMEONE HELP ME SOLVE THis.
Answer:
shiiiii i dont no Nlgga
Step-by-step explanation: