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?
A 98% confidence interval is found to be (32,46). What is the margin of error ?
Using confidence interval concepts, it is found that the margin of error is of 7.
A confidence interval has the format (a,b).The margin of error is half the difference between the two bounds, that is:[tex]M = \frac{b - a}{2}[/tex]
In this problem, the interval is (32, 46), hence [tex]b = 46, a = 32[/tex], and the margin of error is:
[tex]M = \frac{46 - 32}{2} = 7[/tex]
The margin of error is of 7.
A similar problem is given at https://brainly.com/question/25704940
Answer:
Step-by-step explanation:
its 7 just did it
The ratio of dogs to cats at a local animal shelter is 13/25. Which statement must be true.
for every 13 dogs, there are 25 cats. is the answer.
I need help I’m revising for a test and l don’t understand this question please help!
Answer:
- 5 ≤ x < 3
Step-by-step explanation:
The lower limit has a solid circle at - 5
This means that x can equal - 5
The upper limit has an open circle at 3
This means that x cannot be equal to 3
The inequality represented by the diagram is then
- 5 ≤ x < 3
The cube has an edge of 1/4. What is the volume of the cube?
Step-by-step explanation:
V = Volume of cube
a = edge of cube
Formula of volume of cube:
V = a³
[tex]V = { (\frac{1}{4}) }^{3} \\ V = \frac{1}{64} [/tex]
Volume of the cube = [tex] \frac{1}{64} [/tex]
4 ones 4 tenths plus 4 tenths
Answer:
4 8/10
Step-by-step explanation:
4x1+4x1/10+4x1/10=4+4/10+4/10=4 8/10
Adding 4 ones, 4 tenths and 4 tenths gives 4.8
To add 4 ones, 4 tenths and 4 tenths, we can combine the whole numbers and the decimal parts separately.
4 ones = 4 x 1
4 tenths = 4 x 1/10
So, 4 ones + 4 tenths + 4 tenths
= 4 x 1 + 4 x 1/10 + 4 x 1/10
= 4 + 0.4 + 0.4
= 4+ 0.8
= 4.8
Therefore, when you add 4 ones, 4 tenths and 4 tenths, the result is 4.4.
Learn more about Place value here:
https://brainly.com/question/27734142
#SPJ6
Which division problem is modeled
Answer:
The first one
Step-by-step explanation:
if you count, there are five full rows, and two extra, so 52/100. then you count the sections that the colored area is: 4. then count how many squares are in each colored section: 13.
Identify the vertex of: F(x)-4=(x+1)²
A.)(-4,1)
B.) (1,-4)
C.)(1,-4)
D.) -1,4)
Answer:
D
Step-by-step explanation:
move 4 to right, then its in vertext form where where -h = 1 and k = 4. the vertext is (h,k), so just swap thr sign in h andnout it into the coordinate and get (-1,4)
5 sin^2 x = sin x
please help.
[tex]\\ \sf\longmapsto 5sin^2x=sinx[/tex]
Divide both sides by sin x[tex]\\ \sf\longmapsto \dfrac{5sin^2x}{sinx}=\dfrac{sinx}{sinx}[/tex]
[tex]\\ \sf\longmapsto 5sinx=1[/tex]
[tex]\\ \sf\longmapsto sinx=\dfrac{1}{5}[/tex]
[tex]\\ \sf\longmapsto sinx=0.2[/tex]
[tex]\\ \sf\longmapsto x=sin^{-1}(0.2)[/tex]
[tex]\\ \sf\longmapsto x=11.53[/tex]
Help me
pleaseeee
i need help
Answer:
A=2, B=28
Step-by-step explanation:
A:6:7
8:24:B
A=8÷4
=2
B=7×4
=28
Answer:A=2
B=28
Step-by-step explanation:
The ratio of two numbers is 4:9. When 5 is subtracted from each of them ,the now 38. Find the numbers
Given : The ratio of two numbers is 4:9. When 5 is subtracted from each of them the ratio is 3:8. Find the numbers
Need to Find : The numbers
Solution : According to the question here we are given that the ratio is 4:9 and 5 is subtracted from each of these ratios after which the ratio becomes 3:8. Let's follow the steps to get the answer.
Let the constant multiple be x
Now, according to the question:
The numbers are 4x and 9x
As we get to know that each of them is subtracted by 5. So,
1st number = 4x - 5
2nd number = 9x - 5
New ratio becomes 3:8
⇢ (4x - 5)/(9x - 5) = 3/8
⇢ 8(4x - 5) = 3(9x - 5)
⇢ 32x - 40 = 27x - 15
⇢ 32x - 27x = - 15 + 40
⇢ 5x = 25
⇢ x = 25/5
⇢ x = 5
Now, getting the numbers. Instead of x we need to put 5 and multiply with the constant.
1st number = 4x = 4(5) = 20
2nd number = 9x = 9(5) = 45
∴ The numbers are 20 and 45 respectively.
write the ratio in simplest form.
12 DVDS to 10 books.
Answer:
6:5
Step-by-step explanation:
divide both numbers by using gcd/ greatest common divisor
= 12:10/ 2
=6:5
please mark me as brainliest!!! Good luck with your tests!
Convert -450° from degrees to radians. (5 points)
negative five pi divided by two
negative five pi divided by four
five pi divided by two
negative five pi
What are the roots of the equation 16x² + 16x + 5 = 0 in simplest a + bi form?
Answer:
Below in bold.
Step-by-step explanation:
Using the quadratic formula :
roots = [-16 +/-√(16^2 - 4*16*5)] / (2*16)
= -0.5 +/- √(-64) /32
= -0.5 +/- 8i/32
= -0.5 + 0.25i and -0.5 - 0.25i
[tex]\sf\longmapsto 16x^2+16x+5=0[/tex]
[tex]\sf\longmapsto x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]\sf\longmapsto x=\dfrac{-16\pm\sqrt{16^2-4(16)(5)}}{2(16)}[/tex]
[tex]\sf\longmapsto x=\dfrac{-16\pm√256-320}{32}[/tex]
[tex]\sf\longmapsto x=\dfrac{-16\pm√-64}{32}[/tex]
[tex]\sf\longmapsto x=\dfrac{-16\pm8i}{32}[/tex]
[tex]\sf\longmapsto x=\dfrac{-2\pm i}{4}[/tex]
[tex]\sf\longmapsto x=\dfrac{-1}{2}\pm\dfrac{1}{4}i [/tex]
help please
anybody?
Answer:
C.40%
Step-by-step explanation:
Answer:
Your answer would be 40%.
Step-by-step explanation:
If the pizza was cut into 10 pieces, each piece would equal 10%. Therefore, since she had ate 4 pieces, she had eaten 40% of the pizza.
i need help someone plzzz
Answer:
on what...like brush how do we help u if u don't have a question
PLEASE HELP Me!!!!!!!!!!
Answer:84
Step-by-step explanation:
hope this helps :))
Divide using the division algorithm 392,196 divided by 87
(No long division)
A dairy made 97.01 ounces of yogurt. Then a local market bought 84 ounces of the yogurt. How much yogurt does the dairy have left?
I don’t understand please help
Answer:
Step-by-step explanation:
Convert the exponential equation to a logarithmic equation using the logarithm base
( 5 ) of the left side ( 25 ) equals the exponent ( 2 ) . log 5 ( 25 ) = 2
Use the definition of a logarithm,
log b ( x ) = y ⟹ b y = x , to convert from the logarithmic form to the exponential form.
32 4/ 5 = 16
guys is there a way to change your age on brainly i pressed the wrong age and now brainly thinks im in high school when im in middle school.
also solve this problem so i can put it under math.
what is 176x 1,789
Answer:
i dont think so...
Step-by-step explanation:
314864
Answer:
314,864 is the product.
Step-by-step explanation:
176 x 1,789= 314,864
Someone plz help me :(
Answer:
yes its B................
Are repeating decimals like 34.79 rational numbers?
Answer:
Yes. 34.79 is a rational number because it can be written as a fraction.
Step-by-step explanation:
Hoped this helped.
−6/7 m = −84
what does m =
Answer:
m=98
Step-by-step explanation:
-6/7m=-84 - Divide both sides by -6/7
-84/(-6/7)=84*7/6=98
Answer:
m = 98
Step-by-step explanation:
First multiply the fraction's denominator, which is 7, on both sides to get -6m = -588. Then divide both sides by -6 to get m = 98.
Hope this helps you :)
I need help with these. I have no idea how to find the answer for them. My teacher told me the first one was 136 but she didn’t explain how to find the answer or anything. Can someone please explain how you get the answers step by step & not just give them to me. Thank!
Answer:
136
55
53
70
Step-by-step explanation:
1) here x and 136 are alternate interior angles and they are equal
2) here x and 125 lie on the same straight line
so x + 125 = 180
x = 55
3) here 53 and x are corresponding angles and they are equal
x = 53
4) for this see picture below
side angle to 110 becomes x because of corresponding angles
and as this x and 110 lie on same line
x + 110 = 180
x = 70
Answer:
A) If a line crosses 2 parallel lines, then each angle it forms with the first line is the same angle on the second line. And when 2 lines crosses, the opposite angles are the same.
B) x is 180° - 125° = 55°
C) x is 53° (If a line crosses 2 parallel lines, then each angle it forms with the first line is the same angle on the second line.)
D) x is 180° - 110° = 70°
Solve the given equation
x – 1 + 5x = 23
Step-by-step explanation:
x - 1 + 5x = 23
6x - 1 = 23
6x = 23 + 1 = 24
6x = 24
x = 24/6
x = 4 ans.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE.
The angle measurements in the diagram are represented by the following expressions.
Answer:
114 degrees
Step-by-step explanation:
6x+12=3x+63
-3x -12 -3x -12
3x=51
x=17
6(17) +12 = 114
NEED HELP ASAP Evaluate the expression when g = 3.
4g
Answer:
12
Step-by-step explanation:
4(3)
4*3 = 12
Answer:
It is 12 I got it right.
Step-by-step explanation:
write 3 example of quantities or things you know, or you have experienced within your community that show different types of variation.
Answer:
Type of variation
1) Direct variation
Simple equation y=Kx
Y varies directly with x
Practical example-
Radius of the circle lit by a car's
Light decreases (y) as the distance away from the garage decreases (c)
2) Inverse variation
Simple equation y=k/x
Y inversely with c
Example- the brightness of a car's light increase (y) as the distance away from the garage decreases (x)
3) Joint variation
Simple equation y=kxz
Y varies jointly with x and z
Example-The heat lose through a glass window (y) varies jointly with the area of the window (x) and the temperature differences between inside and outside
Step-by-step explanation:
find the slope of the line that passes through the points (-2 3 )and( 4 3)
Step-by-step explanation:
Given points,
( -2 , 3) and (4,3)
we know,
slope = y_2 - y_1 / x_2 - x_1
so according to it we got,
→ (3 - 3)/4 - (-2)
→ 0/6
hope this answer helps you dear! take care.
Hello!
To find the slope when we have 2 points, we use the following formula:
m=[tex]\frac{y2-y1}{x2-x1}[/tex]
m=[tex]\frac{3-3}{4-(-2)} \\\frac{0}{6} \\0[/tex]
Here's something for you to remember:
When the y-coordinates of two points are the same, the slope is 0.Hope it helps!
~Just a determined gal
#CarryOnLearning
[tex]MysteriousNature[/tex]
A book has 12 chapters. The mean length of the chapters is 38 pages. How many total pages are there in the 12 chapters
The decimal approximation for cot(235°36') is approximately -0.9503.
To find the decimal approximation for cot(235°36'), we first need to convert the angle to degrees.
The given angle is 235°36'. We can convert this to decimal degrees by adding the fraction of minutes to the degree value. There are 60 minutes in a degree, so we divide 36 by 60 to convert it to a fraction of a degree:
36 / 60 = 0.6 degrees
Now, we can add this fraction to the degree value:
235 + 0.6 = 235.6 degrees
The cotangent function is the reciprocal of the tangent function. To find the cotangent of an angle, we can use the following formula:
cot(x) = 1 / tan(x)
Since we want to find cot(235.6°), we can find tan(235.6°) first and then take the reciprocal.
Using a scientific calculator or software, we can find
tan(235.6°) ≈ -1.0529
Now, we can take the reciprocal to find cot(235.6°):
cot(235.6°) ≈ 1 / (-1.0529) ≈ -0.9503
Therefore, the decimal approximation for cot(235°36') is approximately -0.9503.
for such more question on fraction
https://brainly.com/question/28372533
#SPJ8