Given that nos. are in ratio 7:10
The larger no. is 140
Let the smaller no. be x
Using ratio and proportion
7 : 10 :: x : 140
⇒10 × x = 140 × 7
[tex]⇒x = \frac{140 \times 7}{10} = 98 \\ [/tex]
- BRAINLIEST ANSWERER
Answer:
[tex] \frac{7}{10 } = \frac{x}{140} [/tex]
[tex] \frac{7 \times 140}{10 \times x} [/tex]
[tex] \frac{980}{10} [/tex]
[tex]98[/tex]
ANSWER IS 98
98 IS THE SMALLEST NUMBERJustin traveled 70 miles from Boston to Hyannis in 1 hr and 45 minutes. He then traveled 10 more miles from Hyannis to Dennisport in 30 minutes.
What was Justin’s average speed on his was from Hyannis to Dennisport?
What was Justin’s average speed on his trip from Boston to Dennisport?
Justin’s average speed on his was from Hyannis to Dennisport will be [tex]20[/tex] miles per hour and average speed on his trip from Boston to Dennisport will be [tex]35\frac{5}{9}[/tex] miles per hour.
What is average speed ?Average speed is s the total distance traveled by the object in a particular time interval.
Average speed [tex]=\frac{Total\ Distance}{Total\ Time}[/tex]
We have,
Distance from Boston to Hyannis [tex]=70[/tex] miles
Time from Boston to Hyannis [tex]=1\ hr\ and \ 45\ minutes = 105\ minutes[/tex]
Distance from Hyannis to Dennisport [tex]=10[/tex] miles
Time from Hyannis to Dennisport [tex]=30[/tex] minutes
So,
Total distance travelled [tex]=70+10=80[/tex] miles
Total time taken [tex]=105+30=135\ minutes[/tex]
[tex]= \frac{135}{60} \ hours= \frac{9}{4}\ hours[/tex]
So,
Average speed on his was from Hyannis to Dennisport [tex]= \frac{10}{\frac{30}{60} }[/tex]
[tex]=\frac{60}{3}=20[/tex] miles per hour
And,
Average speed on his trip from Boston to Dennisport [tex]=\frac{80}{\frac{9}{4} }[/tex]
[tex]=35\frac{5}{9}[/tex] miles per hour
Hence, we can say that Justin’s average speed on his was from Hyannis to Dennisport will be [tex]2[/tex]miles per hour and average speed on his trip from Boston to Dennisport will be [tex]35\frac{5}{9}[/tex] miles per hour.
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If the length of the rectangle is thrice its breadth and breadth is 7 cm. find the perimeter...
Step-by-step explanation:
breath=7
lenghth=3(7)
=21
perimeter of rect=2(l+b)
=2(21+7)
=56
how many prime numbers are multiples of 8
Step-by-step explanation:
four prime numbers..,..,,
Determine whether the graphs of given pair of equations are parallel,
perpendicular, or neither. 2x+5y=15
3x+5y=15
Answer:
Neither because x can't equal 3 and equal 2 at the same time and 2x + 5y doesn't equal 3x + 5y. 3x is > 2x by one x
Step-by-step explanation:
Hope this answer works for you!
A survey found that 27% of high school students and 94% of teachers and school employees drive to school. The ratio of students to employees is about 10 to 1. Roger states
The complete question statement is: A survey found that 27% of high school students and 94% of teachers and school employees drive to school. The ratio of students to employees is about 10 to 1. Roger states that the number of students who drive to school is greater than the number of teachers and employees who drive to school. Explain how Roger’s statement could be correct.
Answer and Explanation:
What is given;
Students 27%. (s)
Teachers and employees 94%. (t)
The ratio between these two variable is 10:1, this means that for every 10 students there's one employee only, that is, students are 10 times more than teacher and employees.
So, 27% of 10 students is 2.7 students, and 94% of 1 employee is 0.94 employees and teachers. So, if there are 2,000 students, there must be 200 teachers, and the number of students that have cars are 0.27(2000)=540, and the number of teacher and employees that have cars are 0.94(200)=188.
As you can observe, with this ratio and percentages, the number of students who drive to school is greater than the number of teachers and employees who drive to school. That's why Roger's statement is correct.
problem referred below
Answer:
Step-by-step explanation:
(f/g)(-4) = (-4² - 13) / (4 - (-4)) = 3/8
m∠BAC = ?
A.) 15
B.) 30
C.) 45
D.) 60
Answer:
B.) 30°Step-by-step explanation:
We know from the property of 30°x60°x90° right triangle:
The hypotenuse is twice the leg which is opposite to 30 angle.We see AC = 2*BC, therefore:
m∠BAC = 30°Correct choice is B
The ratio of angles is directly proportional to the ratio of sides
<B=90°The ratio of sides here is 1:1/2:1
Now
m<BAC be x[tex]\\ \sf\longmapsto 2x+x=90°[/tex]
[tex]\\ \sf\longmapsto 3x=90[/tex]
[tex]\\ \sf\longmapsto x=30[/tex]
Question 19
A game consists of black and white pieces. The number of black pieces is 5 more than 3 times the white pieces. Seven white and 15 black pieces are removed each round. After several rounds, there are 3 white and 56 black pieces left. How many pieces were there in the beginning?
A. 52
B. 158
C. 210
D. 213
E. 218
Answer:
D. 213Step-by-step explanation:
The number of black pieces is 5 more than 3 times the white pieces:
b = 3w + 5Let the number of rounds is x.
Initial number of white nd black pieces:
w = 7x + 3b = 15x + 56Substitute the values of b and w into first equation and find the value of x:
15x + 56 = 3(7x + 3) + 515x + 56 = 21x + 146x = 42x = 7Find the number of pieces:
w = 7*7 + 3 = 52b = 3*52 + 5 = 161w + b = 52 + 161 = 213Correct choice is D
Answer:
A game consists of black and white pieces. The number of black pieces is 5 more than 3 times the white pieces. Seven white and 15 black pieces are removed each round. After several rounds, there are 3 white and 56 black pieces left. How many pieces were there in the beginning?
A. 52
B. 158
C. 210
D. 213
E. 218
Mr. Peate is building a rectangular fence around his house. The fence will be 32 feet long and 29 feet wide. What will be the perimeter of the fence? The perimeter will be ?
Answer:
112
Step-by-step explanation:
32*2+29*2=112
Please Help me Solve this question
Answer:
Step-by-step explanation:
Correct Answer: C
We can rely on the guess and check method to easily solve this problem. Let’s first pick arbitrary values of x and y to eliminate some answer choices.
Let’s consider the case where |x| and let x = 3 and y = -10.
Because x/y = -3/10 < 1, answer choice A is incorrect.
Because |x|2 = (3)2 = 9 and |-10| = 10, we have that |x|2 < y, so answer choice B is also incorrect.
Because x2 + 1= (3)2 + 1 = 10 and y2 + 1 = (10)2 + 1 = 101, we have that x2 + 1 < y2 + 1, so answer choice D is also incorrect.
Now, let’s consider the case where |x|>|y| and let x = 3 and y = -2.
Then, x-2 = 1/x2 = 1/9 and y-2 = 1/y2 = 1/4. This means that x-2 < y-2 , so answer choice E is also incorrect.
This means that answer choice C is correct. We can manipulate the inequality to see why this is true: (x/3 – 5) > (y/3 – 5)
We add 5 to both sides: x/3 > y/3
We multiply both sides by 3: x > y.
We know this is true since we are given that x > 1 > -1 > y, which simplifies to x > y.
evaluate the expression 5+3
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
5 + 3 = 8
-Lexi
please help me !
• don’t use this for points, or send any gross links.
• if you actually KNOW the answer, please do comment / help me!
this is: KS3 — YEAR 8 ! ❤️
TICKET MONEY for age 16 and over,
155-49 =106
1 person pays £18.60
106 = 106 × £18.60
=£1,971.6
TICKET MONEY for under 16
1 person pays £12.80
49 people =49 × £12.80
= £627.2
TOTAL NUMBER OF TICKETS
£ 1,971.6 + £6272.2
= £2,598.8
7.
Identify the vertex of the parabola.
A. (1, 2)
B. (−2, −1)
C. (−1, −2)
D. (−3, 2)
Answer: I can't find the answer :(
B. (−2, −1)
Step-by-step explanation: I don't know :(
From when I am looking at the graph it looks like the answer would be
P= (-2, -1)
Q= (1, -2)
I=8x4-3x3+5x2+1000x , determine la Utilidad Marginal evaluándola para 20 unidades.
Answer:
5
Step-by-step explanation:
yeah idek what you said I just need the points please write in English next time but I see something a about marginal
Two more than the quotient of a number and 4 equals 6
Answer:
2 + (n/4) = 6
Step-by-step explanation:
Answer:
2+(n÷4)= 6
Step-by-step explanation:
hope it helps u
plzz plzzzz plzzzz mark as brainliest
pa sagot po ty po sa sasagot
Answer:
An account-ant
Step-by-step explanation:
Find the measure of the supplement of an angle that measures 72º.
O 18°
O 36°
O 72°
O 108°
How many lines of symmetry does the figure have?
A. 1
B. 5
C. 2
D. 0
Answer:
B. 5
Step-by-step explanation:
Kind of hard to explain why
Answer: B. 5
Step-by-step explanation: The tiny lines on the sides of the pentagon are the lines of symmetry
Can u tell answers of all the given questions? Plz
is 1/4 to the 0 power bigger then 1
Answer:
1/4 to the 0 power is equal to 1. Therefore, it is not bigger than 1
divide £100 into 1:4
Answer: the answer is 25
Step-by-step explanation:
First do 100/1
Then do 1 x 100/1 x 4
so then divide 100 by 4 =
25/1 =
25
A grocery store has five different packages of bottled water.Which is the best deal available on bottled water at this grocery store?
Answer:
Step-by-step explanation:
First, check the amount of water in each one and the price. Which ever one has the lowest price for more water has the best deal.
:) Hope this helps
A.what is biology
b.what is sciences
Find the equation of the line which has slope 7 and y-intercept 2. Give your answer in the form y=mx+b
Answer:
y=7x+2
Step-by-step explanation:
Since it is in slope intercept form, you can simply subsitute the m(slope), into 7, and the b(y-intercep) into 2.
Hope it helped!
The equation of the line is y = 7x + 2.
What is the equation of a line?The equation of a line is given as
y = mx + c
Where m is the slope and c is the y-intercept.
m = 7 and c = 2
The equation of a line is,
y = mx + c
y = 7x + 2
Therefore, the equation of the line is y = 7x + 2.
More about the equation of line link is given below.
https://brainly.com/question/21511618
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Factor -4 out of -8k - 12
Answer:
-4(2k + 3)
Step-by-step explanation:
Factoring is just dividing the whole thing by that
So -8k - 12 becomes -4(2k + 3)
A principal is choosing between two field trips. The first cost $240 plus $40 per student. The second costs $600. For what number of students is the first trip more expensive than the second?
Answer:
If there are 9 students attending then both field trips will cost the same. If there are more than 9 students attending then the second one cost cheaper.
Step-by-step explanation:
240 + 40x = 600
- 240 -240
40x = 360
40x/40 = 360/40
x = 9 students
which option would be correct?
Answer:
similar by angle angle similarity property.
Step-by-step explanation:
they have the right angles, and then the two vertical angles.
:))
At a high school, the probability that a student is a senior is 0.20. The
probability that a student plays a sport is 0.15. The probability that a student
is a senior and plays a sport is 0.05.
What is the probability that a randomly selected student plays a sport, given
that the student is a senior?
0.25
0.15
0.05
0.33
Answer:
0.05
Step-by-step explanation:
Answer:
0.25
Step-by-step explanation:
Got it right
Emmalie is 32 inches tall. If her brother Joshua was 3.5 inches taller, he would be exactly twice Emmalie's height. How tall is Joshua? Enter your answer as a decimal in the box.
Answer:
60.5in
Step-by-step explanation:
32(2) - 3.5 = 60.5
Answer:
HERES ALL THE QUIZZES ANSWERS!
Question One/1:
9.5(w+5.7)=77.9
Question Two/2:
The scuba diver is 27 feet below sea level.
Question Three/3:
25.50
YOUR QUESTION: Question 4:
60.5 inches (in)
Question Five/5:
58 3/4 (mi)
Step-by-step explanation:
k12
MATH,
MIDDLE SCHOOL,
7TH GRADE,
HALFWAY.
YOU'RE SO WELCOME!
sorry, caps lol.
PHOTOS TOO!
(Crown?)
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Identify the type of function graphed to the right.
o linear
exponential
other
As x increases by 1 unit, what is the exponential
growth factor?
9514 1404 393
Answer:
exponentialgrowth factor 3Step-by-step explanation:
If the function showed linear growth, it would be a straight line. Since it curves upward, it will be either "exponential" or "other." The growth factor seems more or less constant, so we can claim the curve to be exponential.
When x=1, y=1; when x=2, y=3. The increase in x by 1 unit causes the value to grow by a factor of 3/1 = 3. When x=3, y=9, which is growth by another factor of 3. The growth factor is 3.
Answer:
Am working on that too this is for everyone! here you go
Step-by-step explanation:
Edge 2021!