Answer:
153 adults and 168 children
Step-by-step explanation:
x - number of adults
y - number of children
[tex]\left \{ {{6x + 4y = 1590} \atop {x + y = 321}} \right.[/tex]
[tex]\left \{ {{6x+4y = 1590} \atop {x=321-y}} \right.[/tex]
[tex]\left \{ {{6*(321 - y)+4y = 1590} \atop {x=321-y}} \right.[/tex]
[tex]\left \{ {{1926 -6y+4y=1590} \atop {x=321-y}} \right.[/tex]
[tex]\left \{ {{1926 -2y=1590} \atop {x=321-y}} \right.[/tex]
[tex]\left \{ {{-2y=1590-1926} \atop {x=321-y}} \right.[/tex]
[tex]\left \{ {{-2y=-336} \atop {x=321-y}} \right.[/tex]
[tex]\left \{ {{y=168} \atop {x=321-y}} \right.[/tex]
[tex]\left \{ {{y=168} \atop {x=321-168}} \right.[/tex]
[tex]\left \{ {{y=168} \atop {x=153}} \right.[/tex]
Is it all clear?
Help me with this problem i am stuck in screenshot
help i don’t get it
Answer:
2.2+3(3.4)
=2.2+10.2
=12.4
Step-by-step explanation:
Eduardo spent 35% of his time at the theme park on a roller coaster if he was there for eight hours how much time did you spend on roller coasters
Answer:
2.8
Step-by-step explanation:
I NEED HELP THIS IS DUE TODAY
Answer:
Sorry I don't know. My advise take the problem step by step.
Step-by-step explanation:
Step-by-step explanation:
a. (8x³ - 5x² + 4x - 5) - (6x³ - 4x² - x + 2)
= 2x³ - 9x² + 3x - 3
hence, remainder distance is 2x³ - 9x² + 3x - 3.
b. (6x - 3y + 4z - 2m) + (4z - 4y + 5x - 2m)
= 11x - 7y + 8z - 4m
hence, (6x - 3y + 4z - 2m) should be subtracted from (11x - 7y + 8z - 4m) to get (4z - 4y + 5x - 2m)
c. (-1x + 6x² - 2) + (2x² - 3 - 2x)
= 8x² - 5 - 3x
now,
(10x² - 5 + 2x) - (8x² - 5 - 3x)
= 2x² - x
therefore, measure of 3rd side of the triangle is 2x² - x.
e. a² + 1a
f. x(6 - 2x) = 6x - 2x²
g. -2ab ( 3ab² + 2a²b ) = -6a²b³ - 4a³b²
h. -3b
I. -2x
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
Please help me answer!
Answer:
what is the question?
Step-by-step explanation:
April's unpaid balance is $200.15. Her APR is 15% and she has $80.50 in new transactions. What is her new balance?
Based on the information given the new balance is $283.15.
Using this formula
New balance=Principal+ [Principal ×(APR/12)]+New transaction
Where:
Principal=$200.15
APR=15%
New transaction=$80.50
Let plug in the formula
Let plug in the formula
New balance=$200.15+($200.15×(0.15/12)+$80.50
New balance=$200.15+$2.50+$80.50
New balance=$283.15
Inconclusion the new balance is $283.15.
Learn more here: https://brainly.com/question/3653824
Sam has 3 more than twice the number of baseball cards that Catherine has. Together Sam and Catherine have 51 baseball cards. How many cards do Sam and Catherine each have?
Answer:
catherine has 16 card and sam also has 16 card
Put 62%, 0.71, 0.8, 5/8 in ascending order
Answer:
0.62 < 5/8 < 0.71 < 0.8
That’s it in ascending order
0.8 > 0.71 > 5/8 > 0.62
That’s it in descending order
Step-by-step explanation:
Answer:
62%, 5/8, 0.71, 0.8
Step-by-step explanation:
62% in form of a decimal is 0.62 and 5/8 is 0.625 when u round off its 0.63 which is 0.01 more than 62%. then 0.71 is 0.1 less than 0.8
Classify the following polynomial by degree and the number of terms.
3x² - 7
Answer:
A.) Quadratic binomial
Step-by-step explanation:
The degree of 2 (x²) makes the polynomial quadratic. It is binomial because it contains 2 terms.
The polynomial is:
↬ quadratic binomialSolution:
We classify polynomials based on the number of terms and the degree,
No. of Termsmonomial - 1 term
binomial - 2 terms
trinomial - 3 terms
polynomial - 4 terms or more
Degree (highest exponent)first
second (quadratic)
third (cubic)
fourth (quartic)
and so on.
[tex]\pmb{3x^2-7}[/tex] has 2 terms. Its highest exponent is 2, so clearly, we have a quadratic binomial.
Hence, 3x² - 7 is a quadratic binomial.
The settlement at Jamėstowi began in 1607. This was
how many years after Columbus reached the Americas
in 14927
Answer:
15
Step-by-step explanation:
jamestown really began in 1606 in may and columbos reached america in 1497
I need helpppp with 1-9
can anyone help me solve this?
Step-by-step explanation:
a triangle,=180
so 68+35-180=77
then 77+68=145
Given that ∠3≅∠5 .
Which theorem proves that d∥e?
alternate exterior angles theorem
converse of the alternate interior angles theorem
converse of the alternate exterior angles theorem
alternate interior angles theorem
By alternate interior angles theorem ∠3≅∠5, d║e. Therefore, option D is the correct answer.
From the given figure ∠3≅∠5.
What are alternate angles?The alternate exterior angle theorem states that if two lines are parallel and are intersected by a transversal, then the alternate exterior angles are considered as congruent angles or angles of equal measure.
From the given figure, 46° + ∠3 =180°
⇒ ∠3 =134°
∠3 = ∠5 =134° (alternate interior angles)
By alternate interior angles theorem ∠3≅∠5, d║e. Therefore, option D is the correct answer.
To learn more about the alternate interior angles visit:
https://brainly.com/question/28380652.
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What is the slope of the line passing through the points (-3, 4) and (2, - 1)?
A -5/3
B 3/5
C -1
D 1
Answer:
-1
Step-by-step explanation:
PLS HELPP me asap no bots
Cutting in one minute = 105 ÷ 3 = 35 cuts
Now for six machine = 35 × 6 = 210 parts.
So, the option C. 210 parts is correct answer.
PART BAs, 20 × 3 = 60 seconds
Parts can be stamped in one minute = 24 × 3 = 72
So, time required [tex] = \frac{4320}{72} \\ = 60 \: minutes[/tex]
So, the option D. 60 minutes is c correct answer
I really need help with this question
Answer:
a) 625; 625; right triangle
b) 205; 256; obtuse triangle
Step-by-step explanation:
The squares are values found in your memory or using a calculator. It is straightforward addition to find their sum.
left side7² +24² = 49 +576 = 625
25² = 625
The sum of the squares of the short sides is the square of the long side, so this is a right triangle.
__
right side6² +13² = 36 +169 = 205
16² = 256
The long side is longer than is needed to form a right triangle, so the largest angle is more than 90°. This is an obtuse triangle (as shown).
Mrs. Baynes is shopping for rulers for her classroom. She wants to spend $19.75 on rulers and they cost $0.79 each. How many rulers, (r), can she buy?
Answer: 25 rulers
Step-by-step explanation:
19.75/.79=25
Answer:
25
Step-by-step explanation:
Divide the total money, by the cost of each product:
$19.75/$0.79=25
A t-shirt increased in price by 1/4. After the increase it was £20. What was the original price of the t-shirt?
Answer:
£16
the t-shirt increased by 0.25. let's convert that to percentage
therefore it increased by 25%
By using cross multiplication we can write as follows:
125%=£20
100%=£ x
(100×20)/125= £16
suppose that a flu virus spreads according to the
which expression is equivalent to 2(5 - 3x)
First answer gets Brainliest!
Answer: 10 - 6x
2 x 5 = 10
2 x 3 = 6
therefore: 10 - 6x
I hope this helps!
Answer:
the answer is 10-6x
Step-by-step explanation:
by multiplying 2 by 5 and -3x
u will get ur 10-6x
The distance from Jason's house to school is 0.9 kilometer. What is this distance in meters?
The distance from Jason's house to school is
meters.
Answer:
900 meters
In 0.9 move the decimal two times to the right
That makes it 900 meters
PLS HELP ASAP ITS DUE IN A FEW HOURS ILL GIVE BRAINLKEST THANKS
1) 5 hours
75×5 = 375
2) 215
475-260 = 215
Hope this helped you-have a good day bro cya)
IF YOU GIVE ME BRAINLIEST YOURE GAY DONT GIVE ME BRAINLIEST
Please help very confusing
How to convert rectangular to polar.
Answer:
To change a rectangular equation to a polar equation just replace x with r cos θ and y with r sin θ .
find the slope and y intercept.
Answer:
slope: 2/3
y intercept: -1
Step-by-step explanation:
slope: rise/run
Find the exact value of sin-1 the quantity square root of two divided by two. (2 points)
three pi divided by four
pi divided by three
two pi divided by three
pi divided by four
Answer:
[tex]\frac{\pi }{4}[/tex]
Step-by-step explanation:
[tex]sin^{-1}[/tex] ( [tex]\frac{\sqrt{2} }{2}[/tex] ) = [tex]\frac{\pi }{4}[/tex]
Order the rational numbers from least to greatest
-45/7
9/7
0/7
-4/7
6/7
-7/7
Answer:
-45/7
-7/7
-4/7
0/7
6/7
9/7
Mrs. O has $30 to give to students who are doing their best work so far today she has given 1/3 of the money away how much money does she have left?
Answer: $10
Step-by-step explanation: if helped pls leave a thanks <3
Answer:
$10 left
Step-by-step explanation:
1/3*30=10
The vertex of a parabola is (-2,6), and its focus is (-5,6).
What is the standard form of the parabola?
Enter your answer by filling in the boxes.
The equation of the parabola is:
(y - 6)² = -12(x +2)
Parabola is the locus of a point such that its distance from a fixed point (called the focus) and a given line (called the directrix) is always the same.
The equation of a parabola is given by:
(y - k)² = 4p(x - h)
Where (h, k) is the vertex, (h + p, k) is the focus
Given the vertex of a parabola is (-2,6), and its focus is (-5,6).
Hence, k = 6, h = -2;
h + p = -5
-2 + p = -5
p = -3
Hence the equation of the parabola is:
(y - 6)² = -12(x +2)
Find out more at: https://brainly.com/question/21685473
The distance around the edge of a circular pond is 88m. The radius,in meters,is?
Answer:
88/ 2π
Step-by-step explanation: