the sum of two numbers, one of which is two-third of the other, is 45. find the smaller number
Step-by-step explanation:
The smaller number is 18.
Step-by-step explanation:
Let larger number = x and smaller number = \dfrac{2}{3} x32x
To find, the smaller number = ?
According to question,
x+\dfrac{2}{3} x=45x+32x=45
⇒ \dfrac{3x+2x}{3} =4533x+2x=45
⇒ 5x=45\times 35x=45×3
⇒ 5x=1355x=135
⇒ x =\dfrac{135}{5} =27x=5135=27
∴ Smaller number =\dfrac{2}{3} \times 27=2\times 9 =18=32×27=2×9=18
Hence, the smaller number is 18.
calvin and susie baked some cookies in the ratio of 3 : 7. calvin baked 60 fewer cookies than susie. how many cookies did they bake altogether?
Answer:
Step-by-step explanation:
Ratio of cakes baked by Calvin and Susie = 3 : 7
Cakes baked by Calvin = 3x
Cakes baked by Susie = 7x
Cakes baked by Calvin = Cakes baked by Susie - 60
3x = 7x - 60
7x - 60 = 3x
7x = 3x + 60
7x - 3x = 60
4x = 60
x = 60/4
x = 15
Cakes baked by Calvin = 3*15 = 45
Cakes baked by Susie = 7 *15 = 105
Total cakes baked = 45 + 105 = 150
They both baked 150 cakes altogether.
Vhat is the probability of flipping a coin 11 times and getting heads 3 times?
Found your answer to the nearest tenth of a percent.
Answer:
the answer should be 21 if it's there if I'm wrong let me know
(7 point)
13. Amir posts on social media frequently, while Naomi posts rarely. Their number of posts over
the last six days are given in the table below. Compare the spreads of the data sets using both
range and IQR
Amir Naomi
15
2
12
4
14
10
16
2
15
3
19
0
The number of social media post of Noami has a greater spread when compared to that of Amir.
What is the range and intequartile range of the social media posts?Range is the difference between the highest and lowest values of a set of observations
Range = highest value - lowest value
The range of Amir's social media posts = 19 - 15 = 4 The range of Noami's social media posts = 10 - 0 = 10The inter quartile range is the difference between the third quartile and the first quartile of a data set.
IQR = Q3 - Q1
The IQR of Amir's social media posts: 7
The IQR of Naomi's social media posts = 10
To learn more about range, please check: https://brainly.com/question/12372689
Answer:
Naomi"s data set has more spread since her range is 10 and her IQR is 3.
Step-by-step explanation:
Range IQR
12,14,15,15,16,19 16-14=2
0,2,2,4,5,10 5-2=3
19-12=7 10-0=10
Solve by substitution.
2x +y = 9
(3x – 4y = 8
-
=
Answer:
Step-by-step explanation:
Working with the top equation, subtract 2x from both sides.
y = 9 - 2x
Put this value for y in the second equation
3x - 4(9 - 2x) = 8 Remove the brackets
3x -36 + 8x = 8 Add 36 to both sides
3x + 8x = 8 + 36 Combine
11x = 44 Divide by 11
x = 4
2x + y = 9
2*4 + y = 9
8 + y = 9 Subtract 8 from both sides
y = 9-8
y = 1
Answerx = 4y = 1Find the area of the figure
Answer:
100 mm
Step-by-step explanation:
this right awnser
Answer:
Formula for area of circle (since two semi circles form a full circle);
a = π[tex]r^{2}[/tex]
First, figure out our radius,
D/2 = Radius
10/2 = 5 is our radius.
Plug in your values:
a = π[tex]r^{2}[/tex]
a = 3.14(5^5)
a = 3.14(25)
a = 78.5 is the area of the two semi circles.
Now the square;
A = L x W
A = 10(10)
A = 100.
Add your areas;
78.5 + 100
= 178.5 mm2
Find the smallest side of APQR, given that mZP = 46°, mZR = 97°, and m2Q =37°,
Answer:
|PR|
Step-by-step explanation:
The smallest side is the side that sees the angle with the smallest measure:
If we were to draw a triangle with the given information we can see that the side length with the smallest value is the one that sees angle Q, |PR|
Nayeli has a points card for a movie theater.
She receives 40 rewards points just for signing up.
• She earns 14.5 points for each visit to the movie theater.
She needs at least 185 points for a free movie ticket.
Answer: She would have to visit the movie theater 10 times.
Step-by-step explanation:
Step-by-step explanation:
I am not sure what the actual question is.
the general function for the amount of gathered reward points p with v visits to the theater is
p(v) = 14.5×v + 40 (40 starting points, 14.5 points per visit)
to know how many visits are needed for a certain amount of points (185) we need to solve that equation for v :
185 = 14.5×v + 40
145 = 14.5×v
v = 145/14.5 = 10
so, she needs at least 10 visits to gather the desired 185 points for a free ticket.
but that applies only to the first free ticket.
after that the function behavior kind of changes, because we have no more starting points :
so to get 2×185 = 370 points for 2 free tickets she will need
370 = 14.5×v + 40
330 = 14.5×v
v = 330/14.5 = 22.75862069...
we need to round up to the next whole number (because there can be no "part-visits").
so, she will need 23 visits for 2 free tickets (that means 13 more visits for the second free ticket).
What is the absolute
value for:
|-771
Answer:
771 is the absolute value of -771.
Step-by-step explanation:
The absolute value is the distance of that number from 0. Therefore, negative or not, the number shown will always be the positive number that it is.
Examples:
|-8| = 8.
|2|=2
|-9912|=9912
|236|=236
Continued explanation:
Because the absolute value is the distance of that number from zero, the value will always be positive. And then the distance is going to be the same number.
I hope this helps!
-No one
enter the correct value in each box to write the equation of the trend line in slope-intercept form
Answer:
y = -3x +15
Step-by-step explanation:
(2,9) (4,3)
slope is -6/2 or -3
use slope intercept form to solve for y-intercept
y = mx + b
9 = (-3)(2) + b
9 = -6 + b
15 = b
y = -3x + 15
Help picture below problem 15
Answer:
m<4 = 80°
Step-by-step explanation:
The 80° angle and <4 are vertical angles.
Vertical angles are congruent. They have the same measure.
m<4 = 80°
Answer:
80°
Step-by-step explanation:
Vertically opposite angles are congruent.
∠4 = 80°
the original price: $75 and percent of discount :30% what’s the
Answer:
The discount is 22.50 and the final price $52.50
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 75 × 30/100
Discount = 75 x 0.3
You save = $22.50
Final Price = Original Price - Discount
Final Price = 75 - 22.5
Final Price = $52.50
What is the distance from the origin to point A graphed on the complex plane below?
Raul threw a football 48 yards. Then, he
threw the ball another 46 yards. Finally, he
threw it another 50 yards. How many
FEET did he throw the ball. (hint: convert
yards to feet)
Answer:
432 ft.
Step-by-step explanation:
Add up the yards he threw the ball, which is 144 yards, and then convert it to feet (1 yd = 3 ft)
For a moving object, the force acting on the object varles directly with the object's acceleration. When a force of 45 N acts on a certain object, the acceleration
of the object is 5 m/s?. If the force is changed to 63 N, what will be the acceleration of the object?
Answer:
acceleration,A = 7
Step-by-step explanation:
F = kA
First expression: 45 = 5k, k = 9
therefore, when F = 63, A = 63/9 = 7
Question 3 of 42
What is the y-intercept of the line y= { x-5?
y
O A. Ž
B. 5
C. - 1
D. -5
SUBMIT
Answer:
~Male Y/n here~ I believe your y-intercept would be D. -5.
(Hope this helps!)
Jerry and Nadine had dinner at a Chinese restaurant. They left a 15% tip that was 2.70. How much did the meal cost before the tip?
Answer:
18 I believe
Step-by-step explanation:
when you do 2.70 divided by 15% you get 18 and if you do 18 times 15% you get 2.70 so I think it is 18
Using the equation 5x=4y, if y=10, what is x?
Answer:
x = 8
Step-by-step explanation:
plug 10 into the other equation for y then solve...
5x = 4(10)
5x = 40
x = 8 [Answer]
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
Answer:
x = 8
Step-by-step explanation:
Using the equation 5x = 4y, if y = 10, what is x?
5x = 4y
5x = 4(10) <== substitute 10 for y
5x = 40
/5 /5 <== divide both sides by 5
x = 8 <== value of x, our final answer
Hope this helps!
Melissa earns 41 dollars each week working part-time at a bookstore. She earns one additional dollar for each book that she sells.
Let A be the amount (in dollars) that Melissa earns in a week if she sells B books.
Write an equation relating A to B. Then use this equation to find the amount of money Melissa earns if she sells 25 books.
Exaction:
Amount Melissa earns if she sells 25 books: dollars
Answer:
answer down below
Step-by-step explanation:
1.A+B=61
2.41+25=61
Solve by completing the square
Answer:
X¹=-11; X²=3
x ^ 2 + 8x - 33 = o
x ^ 2 + 11x - 3x - 33 = 0
x(x + 11) - 3(x + 11) = 0
(x + 11)(x - 3) = 0
A farmer ploughts his lands in 12 days if he use 5 tractors ow long will it if he uses 3 tractors?
Answer:
Step-by-step explanation:
By proportion it will be (5/3) * 12
= 60/3
= 20 days.
Determine all the zeros for the function f(x) = (x2 + 3x - 10)(x - 4).
Answer:
(x−4)(x−2)(x+5)
Step-by-step explanation:
Two old RSM students were standing ten feet apart when they ran in opposite directions with speeds of 180 feet per minute and 160 feet per minute respectively, how many minutes would pass before they were 1870 feet apart?
The number of minutes that would pass before they were 1870 feet apart is 5.47 minutes
Since one student runs at a speed of 180 feet per minutes, in time t minutes, he moves a distance of d = 180t.Also, the second student runs at a speed of 160 feet per minute, in time t minutes, he moves a distance of d' = 160t.
Since they are initially 10 feet apart, their total distance apart after t minutes is D = d + 10 + d'
D = 180t + 10 + 160t
D = 340t + 10
Number of minutes before they are 1870 feetMaking t subject of the formula, we have
t = (D - 10)/340
Since they are 1870 feet apart after t minutes, D = 1870 feet.
t = (D - 10)/340
t = (1870 - 10)/340
t = 1860/340
t = 5.47 minutes
So, the number of minutes that would pass before they were 1870 feet apart is 5.47 minutes
Learn more about minutes of distance apart here
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Two red and two blue blocks are
placed into a bag. You randomly
take one block out of the bag. If
you replace the block each time,
how many red blocks would
you expect to take out if you try
8 times?
Answer:
1/3
Step-by-step explanation:
Probability of an Event = Number of Favorable Outcomes/Total Number of Possible Outcomes
I will give brainliest if you answer these 10 questions :) 1.Jill has to go to the post office before she drops her 3 children off at the elementary school. She is going straight home after dropping them off. How long is Jill traveling roundtrip?
A. 9 miles
B. 12 miles
C. 18 miles
D. 27 miles
2.Jill leaves her house and goes to pick up a friend from the airport, drops the friend at City Hall. What is the shortest distance Jill travels?
A. 16 miles
B. 25 miles
C. 48 miles
D. 54 miles
3.Jill leaves work from the High School, but has to pick up her friend at the airport before going back home. What is the shortest distance she can travel?
A. 27 miles
B. 21 miles
C. 56 miles
D. 84 miles
4.Mary works at the Elementary School, but has to go to the airport to pick up her father. Her father works at City Hall. She drops her father at City Hall and then returns to the Elementary School. How far did Mary travel if she took the shortest route?
A. 32 miles
B. 36 miles
C. 64 miles
D. 96 miles
5.What is the shortest distance Jill can travel is she leaves her house, goes to City Hall, to the Post Office, and then returns home?
A. 9 miles
B. 16 miles
C. 38 miles
D. 48 miles
6.Mary works at the Middle School, but has to go to the airport to pick up her father. Her father works at City Hall. She drops her father at City Hall and then returns to the Middle School. How far did Mary travel if she took the shortest route?
A. 32 miles
B. 36 miles
C. 64 miles
D. 96 miles
7.Jill works at the High School. If she travels from her house and does not make any stops, what is the shortest distance that she travels roundtrip?
A. 11 miles
B. 12 miles
C. 22 miles
D. 33 miles
8.Jill has to go to the post office before she drops her 3 children off at the elementary school. She is going straight home after dropping them off. How long is Jill traveling before going back home?
A. 9 miles
B. 12 miles
C. 18 miles
D. 27 miles
9.Jill works at the High School. If she travels from her house and does not make any stops, what is the shortest distance that she travels one way to get to work?
A. 11 miles
B. 12 miles
C. 22 miles
D. 33 miles
10.What is the shortest distance Jill can travel if she leaves her house, goes to the post office, to the grocery store, and then returns home?
A. 15 miles
B. 28 miles
C. 45 miles
D. 60 miles
Help picture below problem 13
The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.
*look at the image I attached for a better explanation
By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation
[tex]?^2+5^2 = 13^2\\?^2 + 25 = 169\\?^2 = 144\\? = 12[/tex]
Thus the missing side length is 12 cm
Hope that helps!
Which of the following terms describes the 3 in the expression 3x+7?
It's Coeficent
,.,.,..,.,
Below is the graph of a polynomial function with real coet
of the function are shown in the graph.
m
27
Use the graph to answer the following questions.
(a) Over which intervals is the function increasing? Choose all that apply.
o(-00,-5) o (-5, -2) 0 (-2,2) 0 (2,6) o(-2,6) o (6,00)
(b) At which x-values does the function have local maxima? If there is more than
one value, separate them with commas.
(c) What is the sign of the function's leading coefficient?
(Choose one)
(d) Which of the following is a possibility for the degree of the function? Choose all
that apply.
5
06
08 09
04
07
This question is about Polynomial Functions. The reading below is done using the attached graph.
a) Over which intervals is the function increasing?The function is increasing over the following intervals:
(2,6) Option D; and (-2,6) Option E.b) Yes, the points on the x-axis that has local maxima are:
Point -2, and Point 6.
c) The leading coefficient is negative. The sign is given as:
f(x) → -∞
as x → + ∞
d) The possible degree of the function is:
06- (Option B).
Learn more about Polynomial Functions at:
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Guys please help! i will mark brainliest to the right answers
Note: in order for me to mark a brainliest 2 people need to answer
Answer: [tex]\frac{3}{2}x+y=-\frac{17}{2}[/tex]
Step-by-step explanation:
The standard form of a linear equation is [tex]ax+by=c[/tex]
So we need to solve for c
Start by simplifying everything in the equation
[tex]y+7=-\frac{3}{2} (x+1)[/tex]
Use the Distributive Property
[tex]y+7=-\frac{3}{2}x-\frac{3}{2}[/tex]
Now subtract 7 from both sides
[tex]y+7=-\frac{3}{2}x-\frac{3}{2}\\y+7-7=-\frac{3}{2}x-\frac{3}{2}-7\\y=-\frac{3}{2}x-\frac{17}{2}[/tex]
Add [tex]\frac{3}{2} x[/tex] to both sides
[tex]y+\frac{3}{2}x=-\frac{3}{2}x+\frac{3}{2}x-\frac{17}{2}\\\frac{3}{2}x+y=-\frac{17}{2}[/tex]
NOTE: [tex]-\frac{17}{2}[/tex] simplifies to -8.5 if you find that more desirable
HELPPP 50pts !!!!!!!!!!!
Answer:
44462, 1462
Step-by-step explanation:
multiply 43000 by 1.034% and get the answers
Increase:-
[tex]\\ \rm\Rrightarrow 0.034(43000)[/tex]
[tex]\\ \rm\Rrightarrow 1462\$[/tex]
New price
[tex]\\ \rm\Rrightarrow 43000+1462[/tex]
[tex]\\ \rm\Rrightarrow 44462\$[/tex]