Triangle BCD has the following side lengths: BC = 60, CD = 50
Triangle RST has the following side lengths: RS = 11x-4, ST = 70
What is the value of x? (put just the number in the first box)
What is the length of side RS? (put just the number in the second box)
The value of x is 11 and the length of side RS is 117
How to determine the value of x?The given parameters are
BC = 60 and CD = 50
RS = 11x - 4 and ST = 70
Express as a ratio
BC : CD = RS : ST
So, we have
60 : 50 = 11x - 4 : 70
Express as fraction
So, we have
60/50 = (11x - 4)/70
Cross multiply
So, we have
50 * (11x - 4) = 70 * 60
Divide both sides by 50
So, we have
11x - 4 = 84
This gives
11x = 88
Divide both sides by 11
So, we have
x = 11
Substitute x = 11 in RS = 11x - 4
RS = 11 x 11 - 4
Evaluate the product and the sum
RS = 117
Hence, the value of x is 11 and the length of side RS is 117
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The ratio 4/7 : 8/21 has a unit rate of 3/2. True or false?
The statement 'The ratio 4/7 : 8/21 has a unit rate of 3/2.' is True.
In this question, we have been given a statement 'The ratio 4/7 : 8/21 has a unit rate of 3/2.'
We need to check whether the statement is True or False.
We have been given the ratio of two fractions.
4/7 : 8/21
We know that for any non zero real numbers a, b, c, d,
a/b : c/d = a/b × d/c
So, we can write given ratio as,
4/7 : 8/21
= 4/7 × 21/8
= 3/2
In the given statement, it is mentioned that, the ratio 4/7 : 8/21 has a unit rate of 3/2.
This means, the given statement is correct.
Therefore, the statement 'The ratio 4/7 : 8/21 has a unit rate of 3/2.' is True.
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Pirya can bike 150 meters in 20 seconds at this rate how long would it take her to ride 3000 meters
Answer:
400 seconds
Step-by-step explanation: 150/20=7.5 meters per second
3000/7.5=400 seconds
Answer:
40 seconds
Step-By-Step Explanation:
150 x 20 = 3000
20 x 20 = 40
Answer = 40 seconds
Hope this helps :D
Blake was competing in a cooking competition and needed to add 3/4 cup of flour to a recipe. The only measuring cup he could find was 1/8 of a cup. Black would need to fill the measuring cup times
Is this a function?
Pam is asked to construct a table with each employee's salary in dollars
and individual income tax in dollars as variables.
Use the equation of the line to predict how many worm
Alex needs to feed Edbird in order for him to go the enti
day without correcting her. Input your answer to the
nearest whole worm. Then click done.
Plz answer ASAP!!!!!!
Answer:
33
Step-by-step explanation:
I just did it
Answer: 33
Step-by-step explanation: I got it correct on i-Ready.
Plz help me with this???
Answer:
2/3+1/5=10/15+3/15=13/15
Step-by-step explanation:
Hope this helps!
The elevator in a new building traveos a maximum distance of 32 meters. Find the eatimated distance traveled with yards
The estimated distance which is the yard measurement equivalent of the maximum distance 32 meters travelled is; 35.008 yards.
What is the yard measure equivalent of the 32 meters distance travelled by the elevator?It follows from the task content that the maximum distance given,; 32 meters be expressed in terms of its yard measure equivalent.
On this note, since 1 meter is equivalent to; 1.094 yards. It follows from proportion that 32 meters is equivalent to;
= 32 × 1.094 yards
= 32.008 yards.
Ultimately, the estimated distance which is the yard measurement equivalent of the maximum distance 32 meters travelled is; 32.008 yards.
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Need help with this will give branliest to the first who answers
First, find the equation
y = F(x) = x +3
Then plug in 2 for x ( you could also go to 2 on the x-axis to find the Y)
F(2) = (2)+3
F(2) = 5
ASAP!!!!. Given the functions f(x) = 2r-7 and gr)= 5x +9, find the value of x for which fx) g(x).
For f(g(x)) it's f(5x+9)=2r-7
For g(f(x)) it's g(2r-7)=5x+9
What is the value of the digit in the ones place in each number?431
Answer: 1
Step-by-step explanation:
400 is for 4( the hundredths place)
30 is for 3(the tens place)
1 is for 1( the ones place)
Stephen's lunch bill is currently at $843. Stephen orders a fruit salad for take out and wants to leave
$2.25 as a tip for his server. He has a $10 bill and a $5 bill. How much change should he receive after
paying for his lunch, the fruit salad, and the tip?
Answer:
1.63
Step-by-step explanation:
If f(x)=2x and g(x)=x−3, then find f(x)·g(x).
Question 19 options:
2x2−6x
2x2−6
2x2−3
3x−3
Answer:
2x^2 - 6x
Step-by-step explanation:
2x(x-3)
= 2x^2 - 6x
find the slope and y-intercept for a line passing through the following two points,then create a slope intercept equation (-2,2) and (-5,-4)
Answer:
Slope: 2
y intercept: 6
Equation: y = 2x+6
Are the given ratios equivalent Explan why or why not 3 : 5 12 : 20
10 POINTS
MIDDLE SCHOOL 8TH GRADE MATH
Need some help with this question can anyone please give me the answer?
Can someone do 463 ÷ 60 by the standard algorithm
Answer:
7 remainder 42
Step-by-step explanation:
P.S Can I have brainliest?
Suppose log5=b , then what is the exact value of log5^4?
Answer:
4b
Step-by-step explanation:
log(5) = b actually means that
[tex]10^b = 5[/tex]
The power of 10 is b.
So log(5⁴) means that
[tex](10^b)^4 = 5^4[/tex]
so the power of 10 is 4b.
What type of number is 18.62
Answer:
terminating decimal
Step-by-step explanation:
doesn't repeat
Solve for x: 6 over x equals 4 over 8 10 12 24 48
Answer:
The answer is 12.
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
i took the test and got it right
A bag contains 5 white marbles, 3 yellow marbles, and 2 black marbles. If you pull out a marble without replacing it, what is the probability of Choosing a white marble and then another white marble
Answer:
four of nine or a 44.444444444444% chance
u= a-k-b solve for a
Answer:
a = b + k + u
Step-by-step explanation:
hope this helps
2 meters and 20 centimeters = ? millmeters
2 meters and 20 centimeters =2200 millimeters
millimeters are smaller than centimiters and meters so how is is 40 when 2 meters are 2000 millimeters and 20 centimiters are 200 millimeters
Scientists are drilling a hole in the ocean floor to learn more about the Earth's history. Currently, the hole is in the shape of a cylinder whose volume is approximately 3800
cubic feet and whose height is 2.8 miles. Find the radius of the hole to the nearest hundredth of a foot. (Hint: Make sure the same units of measurement are used.)
[tex]v=\pi r^2h[/tex]
[tex]\\3800ft^3=\pi r^2*(2.8miles), 1mile=5280ft[/tex]
[tex]3800ft^3=\pi r^214784ft\\r^2=3800ft^3/3.14*14784ft\\r^2=3800ft^3/46421.76ft\\r=\sqrt{3800/46421.76} ft\\r=0.286108656ft[/tex]
Fred spent half of his allowance on a game at Target. Then he earned an extra $20 by mowing his grandparents’ lawn. After he did this, he had $30 left. Write an equation to find what Fred's allowance is.
Use X as a variable
The equation to find what Fred's allowance is will be 0.5x + 20 = 30
How to compute the equation?Let the variables be x.
From the information, Fred spent half of his allowance on a game at Target. Then he earned an extra $20 by mowing his grandparents’ lawn. After he did this, he had $30 left.
This will be:
(1/2 × x) + 20 = 30
0.5x + 20 = 30
Therefore, the equation to find what Fred's allowance is will be 0.5x + 20 = 30
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A baker has 134 cup of sprinkles to spread on cupcakes. Each cupcake needs 18 cup of sprinkles. How many cupcakes can the baker sprinkle?
Answer:
[tex]Cupcakes = 7[/tex]
Step-by-step explanation:
Given
[tex]Total\ Sprinkles = 134[/tex]
[tex]Sprinkle\ per\ cupcake = 18[/tex]
Required
Determine the number of cupcakes
To do this, we simply divide the total cups of sprinkle by the sprinkles per cupcake
[tex]Cupcakes = \frac{Total\ Sprinkles}{Sprinkle\ Per\ Cupcake}[/tex]
This gives:
[tex]Cupcakes = \frac{134}{18}[/tex]
[tex]Cupcakes = 7.44[/tex]
[tex]Cupcakes = 7[/tex] approximated
Hence, 7 cupcakes are needed
Books are on sale for $7. Peter has $30 dollars in his wallet. How many books can he buy?( interpret the remainder)
Answer:
He can buy 4 books with 2 dollars remaining
Step-by-step explanation:
30/7 = 4 R2
Answer: 4 books.
Explanation: First you divide $30 by 7, and you get 4 and 2/7 (2/7 as the remainder) left over. So you can't have 4 and 2/7 books, it has to be a whole number.
Therefore, he can buy 4 books. I hope this helped!
Supongase que se sabe que en ciertas poblacion el 10%de sus habitantes padece de daltonismo. Si de esta poblacion se extrae una muestra aleatoria al azar de 20 personas.
The mean variable is 2 if a random sample of 20 people is drawn from this population from which 10% of its inhabitants suffer from colour blindness.
In Spanish:-La variable media es 2 si se extrae una muestra aleatoria de 20 personas de esta población de la que el 10% de sus habitantes sufre daltonismo.
Percentage of blind people or p = 10% or 0.10 (English)
porcentaje de personas ciegas o p = 10% o 0.10 (Spanish)
No. of random samples of people taken or n = 20 (English)
No. de muestras aleatorias de personas tomadas o n = 20 (Spanish)
Now, Mean is given by n(p). so, (English)
Mean = n(p)
= 20(0.10)
= 2Ahora, la media viene dada por n(p). asi que, (Spanish)
la media = n(p)
= 20(0.10)
= 2
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Full and translated question
Suppose it is known that in a certain population 10% of its inhabitants suffer from colour blindness. If a random sample of 20 people is drawn from this population. the mean of the variable isa. 0.475b. 0.5c. 0.25d. 2
During the women's basketball championship game, team A scored 2 more points than team B. Together, both teams scored a total of 148 points. How many points did the Champion team A score during this game?
Sra. Niccoli used 3/4 cups of sugar, 1/2cup of flour and 2 1/4
cup of chocolate chips to make a batch of cookies. How
many cups of ingredients did she use for her cookies?
What is this division or multiplication and what fractions?
Answer:
3/4+1/4=4/4=1
1+ 1/2=1 1/2 cups
Step-by-step explanation: