Answer:
Carla=14
Rosa=11
Step-by-step explanation:
let Carla as C and Rosa as R
C=R+3
C²+R²=317
substitute these two equations and take the positive number as the answer. bcuz age can't be in negative.
If x, y, z, are integers such that 2^x*3^y*7*z=329, Then what is x, y, and z? PLZZZZ HELP THANK YOU
Answer:
[tex]\boxed{\sf \ \ \ 2^0*3^0*7*47=329 \ \ }[/tex]
Step-by-step explanation:
hello,
let's try to divide by 7 329 it comes
329 = 47 * 7
and 329 is not divisible by 2 or 3 so
the solution is
x = 0
y = 0
z = 47
[tex]2^0*3^0*7*47=329[/tex]
hope this helps
Jill works as a lifeguard at a swimming pool. Last week, she worked for 32.65 hours. How many hours and minutes is this?
Answer:
32 hours and 65 minutes
Step-by-step explanation:
Answer:
The Answer is 33 hours and 5 minutes
Step-by-step explanation:
The reason being that 32.65 is 32 hours and 60 min is an hour so add that to the 32 it's 33hrs and the remaining 5 min
Which value, when placed in the box, would result in a system of equations with infinitely many solutions?
y = -2x + 4
6x + 3y =
a. -12
b. -4
c. 4
d. 12
Answer:
d. 12
Step-by-step explanation:
if you rewrite the first as 2x + y = 4 and then multiply it by 3, it is equal to the second equation if the right hand side is 12.
If a system of equations contains dependent equations (ie., equal give or take a scale factor), then there is not one single solution but many.
Answer: its d, 12
Step-by-step explanation:
Alisha designs a new tea blend by mixing Sweet Rose Tulsi tea with Orange blossom green tea. Sweet rose tea sells for $4.98 an ounce and Orange Blossom sells for $1.98 an ounce. If she wants to blend 16 ounces of the tea blend to sell for $4.23 per ounce, how many ounces of each tea should she use?
Answer: She should use 12 ounces of Sweet Rose Tulsi tea and 4 ounces of Orange blossom green tea.
Step-by-step explanation:
Let x represent the number of ounces of Sweet Rose Tulsi tea that she should use.
Let y represent the number of ounces of Orange blossom green tea that she should use.
She wants to blend 16 ounces of the tea blend. It means that
x + y = 16
x = 16 - y
Sweet rose tea sells for $4.98 an ounce and Orange Blossom sells for $1.98 an ounce. If the the tea blend is to sell for $4.23 per ounce, then the 16 ounces would be sold for 16 × 4.23 = 67.68
it means that
4.98x + 1.98y = 67.68- - - - - - - - - - -1
Substituting x = 16 - y into equation 1, it becomes
4.98(16 - y) + 1.98y = 67.68
79.68 - 4.98y + 1.98y = 67.68
- 4.98y + 1.98y = 67.68 - 79.68
- 3y = - 12
y = - 12/-3
y = 4
x = 16 - y = 16 - 4
x = 12
Which interval for the graphed function has a local
minimum of 0?
O [-3, -2]
O (-2, 0]
O [1, 2]
O [2,4]
You're looking for "parabola" like shapes in which the lowest point has a y coordinate of y = 0. In this case, it would be the "parabola" portion on the right that has its lowest point at (3,0). The only interval that fits is [tex]2 \le x \le 4[/tex] which in interval notation is written as [2,4]. So this fits with choice D.
Sammy has 34 pizzas. He gave 4 to his colleagues at work and the rest he brought home to deliver to three separate parties. How many pizzas did Sam bring to each party?
Answer:
Sammy delivered 10 pizzas to each party.
Step-by-step explanation:
34 pizzas - 4 pizzas
= 30 pizzas
30 pizzas/ 3 parties
= 10 pizzas per party
Answer:
Hey there!
Sammy delivered four to his colleagues. Thus, he has 34-4, or 30 pizzas left.
He split these between three parties, thus each party received 10 pizzas.
Hope this helps :)
2 Kendal bought x boxes of cookies to bring to a party. Each box contains 12 cookies. She
decides to keep two boxes for herself. She brings 60 cookies to the party. Which equation
can be used to find the number of boxes, x, Kendal bought?
1) 2x - 12 - 60
3) 12x - 24 - 60
2) 12x-2-60
4) 24 - 12x - 60
Answer:
Hey there! The answer to your question will be below.
Step-by-step explanation:
The correct answer to your question is 12x - 24=60
So we know that 12x will be the number of cookies.
It says that she kept two boxes for herself, and than she took away 24 boxes which will leave us with 60.
Here is the work:
12 (x-2)= 60
12x-24=60
So the answer should be 12x -24 = 60
Hope this helps!
By:xBrainly
-5y²+2y=-2 Use the quadratic to solve the equation
Answer:
the answer in the paper
my correction of there ia am error in the my answer
Answer:
[tex]x\in\left\{\dfrac{1+\sqrt{11}}{5}\,;\ \dfrac{1-\sqrt{11}}{5}\right\}[/tex]
Step-by-step explanation:
[tex]-5y^2+2y=-2\\\\-5y^2+2y+2=0\\\\a=-5\,,\ \ b=2\,,\ \ c=2\\\\\Delta=2^2-4\cdot(-5)\cdot2=44\quad\implies\quad\sqrt\Delta=2\sqrt{11}\\\\x_1=\dfrac{-2-2\sqrt{11}}{2\cdot(-5)}=\dfrac{-2(1+\sqrt{11})}{-2\cdot5}=\dfrac{1+\sqrt{11}}{5}\\\\x_2=\dfrac{-2+2\sqrt{11}}{2\cdot(-5)}=\dfrac{-2(1-\sqrt{11})}{-2\cdot5}=\dfrac{1-\sqrt{11}}{5}[/tex]
Wendy described four triangles as shown below: Triangle A: All sides have length 9 cm. Triangle B: Two sides have length 10 cm, and the included angle measures 60°. Triangle C: Two angles measure 50°. Triangle D: Base has length 8 cm, and base angles measure 45°. Which triangle is not a unique triangle? Triangle A Triangle B Triangle C Triangle D
Answer:
The first one
Step-by-step explanation:
because all of the sides have the same measurement.
Answer:
Triangle C
Step-by-step explanation:
Triangle A: All sides have length 9 cm.
By SSS this is a unique triangle.
Triangle B: Two sides have length 10 cm, and the included angle measures 60°.
By SAS this is a unique triangle.
Triangle C: Two angles measure 50°.
This gives us at most SS Similarity, so we do not have a unique triangle. The triangle sides can be any length. This is not unique.
Triangle D: Base has length 8 cm, and base angles measure 45°. Which triangle is not a unique triangle?
This gives us ASA, so we have a unique triangle.
Answer: Triangle C
The local high school hosted a hockey tournament. Tickets were sold before the tournament and at the door. When reviewing the ticket sales, the director of the tournament realized that there were 80 more tickets purchased before the tournament than at the door. A total of 820 tickets were sold. Which statements about ticket sales are true
Answer:
380 tickets were sold at the door and 440 tickets were sold before
Step-by-step explanation:
x = tickets sold before
y = tickets sold at the door
x + y = 820
x = y + 80
y + 80 + y = 820
-80 -80
2y = 740
y = 370
820 - 380 = 440
x = 440
plz give me correct answer and no spammng,alphabets,links,website,sorry,i don't know,have a great day,plz appreciate my work then I will answer if done immediatly reported also only answer if you have done this before or just ask your parents that is your answer correct
An isosceles trapezoid has a perimeter of 43 kilometers. Its shorter base measures 1 kilometer and its longer base measures 4 kilometers. The two remaining sides have the same length; what is that length?
Answer: The length of each of the two equal sides is 19 km
Step-by-step explanation:. Subtract the giver lengths of the bases: 4+1= 5
43 - 5 = 38.
The trapezoid is iscosceles, so the remaining two sides are equal.
Divide. 38/2 = 19
I hope this helps you!
What is the solution to the equation 3 x+ 2 = -x-57
X=-8
o x=-7
o x=7
O X=8
Answer:
x = -59/4
Step-by-step explanation:
3 x+ 2 = -x-57
Add x to each side
3 x+x+ 2 = -x+x-57
4x+2 = -57
Subtract 2 from each side
4x +2-2 = -57-2
4x = -59
Divide each side by 4
4x/4 = -59/4
x = -59/4
Compute the missing data in the table for the following exponential function f (x) = (one-fourth) Superscript x. x 1 2 3 4 5 6 7 f(x) One-fourth StartFraction 1 Over 16 EndFraction StartFraction 1 Over 64 EndFraction ? StartFraction 1 Over 1024 EndFraction StartFraction 1 Over 4096 EndFraction StartFraction 1 Over 16,384 EndFraction a. StartFraction 1 Over 256 EndFraction c. StartFraction 1 Over 84 EndFraction b. 256 d. StartFraction 1 Over 512 EndFraction Please select the best answer from the choices provided A B C D
Answer:c
Step-by-step explanation
Answer:
the Answer is A
Step-by-step explanation: took the test
Where does AD cross the scale marked on the vertical line? What is the significance of this value in the context of the landfill problem
Answer:
AD crosses the scale marked on the vertical line at the value 10. This means that there is 10 feet of available space left between the top of the debris pile and ground level.
Step-by-step explanation:
PLATO
AD crosses the scale marked on the vertical line at the value 10. This means that there is 10 feet of available space left between the top of the debris pile and ground level.
When she subtracts 4 from both sides, 1/2x=-1.2x result.What is the value of x
Tom made 5,000 mL of soup. He packed 2.5 liters of the soup in his kids' lunches. He froze the rest of the soup. How many milliliters of soup did Tom have left to freeze?
Answer:
Amount of frozen soup = 2500 mL
Step-by-step explanation:
We are told that tom made 5,000 mL of soup.
We are also told he packed 2.5 Litres into his kids' lunches.
Now, from conversions,
1 liter = 1000 mL
Thus,
2.5 litres = 2.5 × 1000 = 2500 mL
Now, we are told he froze the rest of the soup.
Thus;
Amount of frozen soup = total amount of soup made - amount given to kids' lunch pack.
Amount of frozen soup =
5000 - 2500 = 2500 ml
rogers father knows that dial it up sells data plans at $16 for 2 gigabytes and ring sells data plans at $9 for 1 gigabytes
Answer:
Dial it up : ring ring
=8:9
Step-by-step explanation:
From Dial it up= $16 per 2 gb.
ratio of gb : price
2:16
can be reduced to 1:8
this means that per each Gigabyte, you pay $8.
Ring Ring has plans of $9 per 1gb
ratio of gb to price is 1:9
And the ratio between the prices
of the companies is
Dial it up:ring ring
8:9
which means that in one company you get one gb for $8, while in the other company you get the same one gb for $9.
Answer:The initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing.
use the scale factor 1 : 3 and a proportion to find the length of ST ???
Answer:
ST is 5
Step-by-step explanation:
Divide the larger triangle's BC by 3.
The world's oceans hold roughly 1.4 x 109 cubic kilometers of water. A typical bucket holds roughly 20,000 cubic centimeters of water. If there are 1015 cubic centimeters in a cubic kilometer, how many bucketloads would it take to empty the world's oceans?
Answer:
It'll take a bucket loads of [tex]7 * 10^{20}[/tex] to empty world's ocean
Step-by-step explanation:
Given
[tex]World\ Ocean: 1.4 * 10^9 km^3[/tex]
[tex]Bucket: 20,000 cm^3[/tex]
[tex]1 km^3 = 10^{15} cm^3[/tex]
To get the number of bucket loads, we simply divide the size of the ocean by the size of the bucket;
[tex]Number = \frac{Ocean\ Size}{Bucket\ Size}[/tex]
[tex]Number = \frac{1.4 * 10^9 km^3}{20,000cm^3}[/tex]
Expand the numerator
[tex]Number = \frac{1.4 * 10^9 * 1km^3}{20,000cm^3}[/tex]
Recall that [tex]1 km^3 = 10^{15} cm^3[/tex]
So, the expression becomes
[tex]Number = \frac{1.4 * 10^9 * 10^{15} cm^3}{20,000cm^3}[/tex]
Simplify the numerator using laws of indices
[tex]Number = \frac{1.4 * 10^{9+15} cm^3}{20,000cm^3}[/tex]
[tex]Number = \frac{1.4 * 10^{25} cm^3}{20,000cm^3}[/tex]
Expand the denominator
[tex]Number = \frac{1.4 * 10^{25} cm^3}{2 * 10,000cm^3}[/tex]
[tex]Number = \frac{1.4 * 10^{25} cm^3}{2 * 10^4\ cm^3}[/tex]
Split fraction
[tex]Number = \frac{1.4}{2} * \frac{10^{25} cm^3}{10^4\ cm^3}[/tex]
[tex]Number = 0.7 * \frac{10^{25}}{10^4\ }[/tex]
Simplify fraction using laws of indices
[tex]Number = 0.7 * 10^{25-4}[/tex]
[tex]Number = 0.7 * 10^{21}[/tex]
[tex]Number = 7 * 10^{20}[/tex]
Hence, it'll take a bucket loads of [tex]7 * 10^{20}[/tex] to empty world's ocean
Can someone help me with this question, please?
Answer:
99
Step-by-step explanation:
3/8 of 88 is 3/8 * 88 = 33.
If her number is x we can write 1/3x = 33 and when we multiply the equation by 3 to get rid of the fraction we get x = 99.
6, 3, 4, 7, 3, 7, 8, 5, 7 i. Find the median ii. Find the mean iii. Find the modal mark
Answer:
i. 6
ii. [tex]5\frac{5}{9}[/tex]
iii. 7
Step-by-step explanation:
First organize the data from least to greatest. 3,3,4,5,6,7,7,7,8
To find the median, remove the extremes from the data over and over.
3,4,5,6,7,7,7
4,5,6,7,7
5,6,7
6
To find the mean, add all of the numbers and divide by 9
3+3+4+5+6+7+7+7+8=50
50/9=[tex]5\frac{5}{9}[/tex]
To find the modal mark, simply find the number present most in the data set: 7(occurs 3 times)
Hope it helps <3
11) The Cost of maintaing a
school is party
Constant and partly varies as the number of
Pupils with 50 pupils the cost is $15705 with 40 pupils, it is $13305
find the cost when there are 44 pupils
B if the fee per pupil is 360 what is the
Least number of pupils for which the school can be run without loss
Answer:
a). Cost of 44 pupils = $14265
b). Least number of pupils = 31
Step-by-step explanation:
The given question is incomplete; here is the complete question.
The cost of maintaining a school is partly constant and partly varies as the number of pupils. With 50 pupils, the cost is $15,705.00 and with 40 pupils, it is $13,305.00.
(a) Find the cost when there are 44 pupils.
(b) If the fee per pupil is $360.00, what is the least number of pupils for which the school can run without a loss?
Let the equation representing the total cost of maintaining a school is,
C = ax + b
Where C = Total cost of maintaining a school
a = Fee per pupil
b = Fixed running cost
x = number of pupils
a). Cost of 50 pupils = $15705
Equation will be,
15705 = 50a + b -------(1)
Cost of 40 pupils = $13305
Equation will be,
13305 = 40a + b --------(2)
By subtracting equation (2) from equation (1),
15705 - 13305 = (50a + b) - (40a + b)
2400 = 10a
a = 240
From equation (1),
b = 3705
Equation representing the total cost will be,
C = 240x + 3705
If x = 44
C = 240(44) + 3705
C = $14265
b). If the fee per pupil 'a' = $360
Let the number of pupils = p
Total fee of 'p' pupils = $360p
Total cost to run the school will be = 3705 + 240p
For the school not to be in the loss,
360p ≥ 3705 + 240p
360p - 240p ≥ 3705
120p ≥ 3705
p ≥ [tex]\frac{3705}{120}[/tex]
p ≥ 30.875
Therefore, to run the school without loss, number pupils should be at least 31.
PLEASE HELP!!
Suppose f(x)=x^2. What is the graph of g(x)=f(3x)
Answer:
B
Step-by-step explanation:
We begin with the given function [tex]f(x)=x^2[/tex]
To find [tex]g(x)[/tex], we can plug [tex]3x[/tex] into the function [tex]f(x)=x^2[/tex]
[tex]f(x)=x^2\\\\f(3x)=(3x)^2\\\\f(3x)=9x^2\\\\g(x)=9x^2[/tex]
Now that we know the equation of [tex]g(x)[/tex], we can find the graph that is equivalent to it.
The only graph that is even close to the function [tex]g(x)=9x^2[/tex] is B, so that is our answer.
find the length of the diagonal of a rectangle whose length is 15 cm and breadth is 8cm
Answer:
I hope it will help you......
what is a simplified form of the expression 2c + 2 + 6c – 4?
Answer:
8c - 2
I just turned it in
Step-by-step explanation:
PLEASE MARK BRAINLIEST
Answer:
now u can mark the other person as brainlyest
Step-by-step explanation:
5/8 divided 3/8 = a b/c
A=1 , b =3 ,c =2
A=1 b =40 c =24
A= 1 b =16 c =24
A=1 b =2 c =3
what is the value of 4y when y= - 3
Answer:
-12
Step-by-step explanation:
We just plug in -3 and multiply.
4y
= 4(-3)
= -12
Hope this helped!
Use the elimination method to solve the system of equations. Choose the
correct ordered pair.
7x + 3y = 30
-2x + 3y= 3
A. (6,5)
B. (6,3)
C. (3,3)
D. (3,5)
Answer:
C
Step-by-step explanation:
7x + 3y = 30 (equation 1)
-2x + 3y = 3 (equation 2)
9x = 27 (subtract the two equations to eliminate y)
x = 3 (divide by 9)
7 * 3 + 3y = 30 (Substitute x = 3 into equation 1, it doesn't matter which equation you substitute into)
21 + 3y = 30 (7 * 3 = 21)
3y = 9 (Subtract 21)
y = 3 (divide by 3)
Answer is (3, 3)
Answer:
(3,3)
Step-by-step explanation:
7x + 3y = 30
-2x + 3y= 3
Multiply the second equation by -1 and add together to eliminate y
7x + 3y = 30
2x - 3y= -3
---------------------
9x + 0y = 27
Divide by 9
9x/9 = 27/9
x = 3
Now find y
-2x+3y = 3
-2(3) +3y =3
-6 +3y = 3
Add 6 to each side
3y = 3+6
3y=9
Divide by 3
y = 3
intro to geometric sequences (help pls)
Answer:
Option B
Step-by-step explanation:
The formula for geometric sequence is given by:
[tex]a_{n} = a_{1}r^{n-1}[/tex]
Where,
[tex]a_{n}[/tex] = nth term of sequence
[tex]a_{1}[/tex] = 1st term of the sequence
[tex]r[/tex] = common ratio (ration of the second term to the first term)
So,
Here:
[tex]a_{1}[/tex] = 12
[tex]r[/tex] = 6/12 = 1/2
Plugging in the values of [tex]a_{1}[/tex] and r in the above formula:
=> [tex]a_{n} = 12 * (\frac{1}{2}) ^ {n-1}[/tex]