Answer:
12 boys, 36 girls
Step-by-step explanation:
We can use systems of equations to solve this using substitution.
Let b = # of boys in the class
Let g = # of girls in the class
b + g = 48
g=3b
b+(3b)=48
4b=48
b=12
12*3=36
Check:
36+12=48
Rewrite the expression in the form y^n. (y^-1/2)^4
Answer:
y^ -2
Step-by-step explanation:
We know that a^b^c = a^(b*c)
(y^-1/2)^4
y^(-1/2*4)
y^ -2
Answer:
Step-by-step explanation:
Patients in a hospital are classified as surgical or medical. A record is kept of the number of times patients require nursing service during the night and whether or not these patients are on Medicare. The data are presented here: Patient Category Medicare Surgical Medical Yes 46 52 No 36 43 Test the hypothesis (using ) that calls by surgical-medical patients are independent of whether the patients are receiving Medicare. Find to 2 decimal places the P-value for this test. The evidence Choose the answer from the menu in accordance to the question statement sufficient to claim that surgical-medical patients and Medicare status are dependent.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Given:
[tex]N= 177\\\\a=46\\\\b=52\\\\c=36\\\\d=43[/tex]
[tex]\to \chi _{1}^{2}=\frac{N(ad-bc)^{2}}{(a+c)(b+d)(a+b)(c+d)}[/tex]
[tex]=\frac{177((46\times 43)-(52 \times 36))^{2}}{(98)(79)(82)(95)}\\\\=\frac{177((1978)-(1872))^{2}}{60310180}\\\\=\frac{177(106)^{2}}{60310180}\\\\=\frac{177(11236)}{60310180}\\\\=\frac{1988772}{60310180}\\\\= 0.032976[/tex]
P-value= [tex]CHIDIST(0.032976,1) = 0.86.[/tex]
thus, the surgical-medical patients and Medicare are dependent.
16. DEFG is a square. Find the value
of x.
Answer:
calculate the volume of a prism whose length is 25cm and cross-section is an equilateral triangle of sides 3
Answer:
a square adds up to 360°degrees so 1 angle adds to 90degrees so 18x° =90°
so x=5
help pllsssssssssssss
Answer:
abcd is a quadrilateral
so , d is ( -1,4 )
c is ( 0,-4 )
b is ( 0,-2)
and
a is ( 2,-2 )
please answer this question!!
Answer:
x = 1
Step-by-step explanation:
6x - 9 = 2x - 5
Move variables to one side
6x - 9 = 2x - 5
-2x -2x
4x - 9 = - 5
Isolate variable
4x - 9 = - 5
+ 9 +9
4x = 4
4x/4 = 4/4
x = 1
3b of 9
The ordered pair (5, – 3) is a solution to which of the following inequalities?
o 4y + 2x < -1
oy > - 2x + 8
O-2y < 3x - 9
Oy - 2x > 5
Answer:
4y+2x ≤ -1
(5,-3)
4x(-3)+2×(5) ≤ -1
-12+10≤ -1
-2 ≤ -1
A) 4y+2x ≤ -1
~OAmalOHopeO
the ratio of Ages of Minu and her brother Sudhir is 3:4 the difference between their ages is 5 years then find their present ages
Let the ages be 3x and 4x
ATQ
[tex]\\ \Large\sf\longmapsto 4x-3x=5[/tex]
[tex]\\ \Large\sf\longmapsto x=5[/tex]
Now
[tex]\\ \Large\sf\longmapsto Age\:of\:Minu=3x=3(5)=15years[/tex]
[tex]\\ \Large\sf\longmapsto Age\:of\:Sudhir=4x=4(5)=20years[/tex]
Their present ages are 15 and 20 years.
Let the age of Minu be represented by x
Since the difference between their ages is 5 years, then the age of her brother will be x + 5.
Based on the information given in the question, the equation to use in solving the question will be:
x/(x + 5) = 3/4
Cross multiply
(4 × x) = 3(x + 5)
4x = 3x + 15
Collect like terms
4x - 3x = 15
x = 15
Minu's age is 15 years
Therefore, her brother's age will be:
= x + 5
= 15 + 5
= 20 years
In conclusion, their present ages are 15 and 20 years.
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What is the equation of a vertical line through the point (3, 2)?
Answer:
If you consider what the slope looks like for a vertical line, it is an infinite slope. What that means is that you cannot have a y-value in your equation:
x = 3
This x-value would be a vertical line that passes through all y-values for x = 3. So you can replace them in (3, y) with any value, and it will be included in the linear equation x = 3.
(a) You are given that 246x17 = 4182
Explain how you use this calculation to work out the value of 2460 x 1700
and
(b) 16x3 is 48. Use this to work out the answer to 0.16 x 0.3, showing how you do so.
Answer:
246×17=4182
2460×1700=4182000
(one zero on the end+2 zeroes in the end=3 zeroes in the end on the answer)
16×3=48
0,16×0,3=0,048
(2 numbers after comma+1 number after comma=3 numbers after comma in the answer)
Two angels of a triangle are the same size.The third angel is 3 times as large as the first. How large are the angels
Answer:
Let the two equal angles be x . Hence the third angle is 3x . But the sum of the interior angles of a triangle always adds up to 180∘ . ∴x=1805=36∘
Answer:
Angle 1 = 36°
Angle 2 = 36°
Angle 3 = 108°
Step-by-step explanation:
Sum of all angles in any triangle is 180°
angle 1 = angle 2 = X
angle 3 = 3×X
angle 1 + angle 2 + angle 3 = 180°
X + X + 3×X = 5×X = 180°
X = 180° / 5 = 36°
Angle 1 = 36°
Angle 2 = 36°
Angle 3 = 108°
The sum of two numbers is nine. Using x to represent the larger of the two numbers, translate "the difference between one more than the larger number and twice the smaller number" then simplify.
Answer:
We have that the sum of two numbers is 9
this can be written as:
x + y = 9
where x is the larger number.
Now we want to write:
"the difference between one more than the larger number and twice the smaller number"
First, remember that the difference between A and B is:
A - B
Then "the difference between one more than the larger number and twice the smaller number"
is:
"one more than the larger number" = ( x + 1)
"twice the smaller number" = 2*y
the difference between these is:
(x + 1) - 2*y
Now we can simplify:
We know that:
x + y = 9
then:
y = 9 - x
replacing that in the equation:
(x + 1) - 2*y
we would get:
x + 1 - 2*(9 - x)
x + 1 -18 + 2x
(x + 2x) + (1 - 18)
3x - 17
This means that we can write:
"the difference between one more than the larger number and twice the smaller number"
as: 3x - 17
Concrete is made by mixing screenings cement and sand in the ratio 3:1:15. How much sand would be needed
to make 125 tonnes of concrete?
Answer:
98.7 tonnes of sand.
Step-by-step explanation:
First find the total :
3 + 1 + 15 = 19
if 19 = 125 tonnes,
what about 15 = ?
(cross multiply)
[tex] \frac{15}{19} \times 125[/tex]
= 1875 ÷ 19
= 98.68
(rounded off to 1 decimal place)
= 98.7 tonnes of sand.
It’s urgent please help
Can you guys help me ?
Answer:
6.5
Step-by-step explanation:
you just take whats between the numbers
How was the graph of RootIndex 3 StartRoot x EndRoot shifted to form the translation?
2 units up
2 units down
2 units left
2 units right
Answer:
2 units up
Step-by-step explanation:
If you take a look at the graph, it shows that it is 2 units up from where it initially started, therefore it is moved 2 units up. It says the SOLID graph is the translation, therefore it would be moving 2 units up.
Answer:
2 up
Step-by-step explanation:
i took the test
Fiona y sus amigas fueron a una tienda de batidos. Pidieron tres batidos de fresa y dos batidos de proteínas por un total de $ 24,00. La semana pasada pidieron un batido de fresa y cuatro batidos de proteínas por un total de $ 25,50. El sistema que representa sus compras se encuentra a continuación. x + 4 y = 25,50 3 x + 2 y = 24,00 ¿Cuál es el precio de un batido de proteínas? $ 3,75 $ 4.50 $ 4.95 $ 5.25
Answer:
Un batido de proteínas cuesta $ 5,25.
Step-by-step explanation:
El sistema de ecuaciones descrito al final del enunciado coincide con lo descrito al comienzo del mismo, de modo que podemos concentraron casi exclusivamente en la resolución del sistema en cuestión, la cual se describe a continuación:
Este es el sistema a resolver:
[tex]x + 4\cdot y = 25,50[/tex] (1)
[tex]3\cdot x + 2\cdot y = 24,00[/tex] (2)
Donde [tex]x[/tex] es el coste de un batido de fresa y [tex]y[/tex] corresponde al coste de un batido de proteínas:
1) Despejamos [tex]x[/tex] en (1):
[tex]x = 25,50 - 4\cdot y[/tex]
2) Eliminamos [tex]x[/tex] en (2):
[tex]3\cdot (25,50 - 4\cdot y) + 2\cdot y = 24,00[/tex]
[tex]76,50 - 12\cdot y +2\cdot y = 24,00[/tex]
3) Simplificamos y despejamos [tex]y[/tex]:
[tex]10\cdot y = 52,50[/tex]
[tex]y = 5,25[/tex]
Un batido de proteínas cuesta $ 5,25.
(06.01)A scatter plot is shown:
A scatter plot is shown. Data points are located at 1 and 8, 2 and 7.8, 3 and 7.4, 4 and 6.5, 5 and 5.4, 6 and 4.5, 7 and 3.1, 8 and 2, 9 and 1.
ASAP:
What type of association does the graph show between x and y?
Linear positive association
Nonlinear positive association
Linear negative association
Nonlinear negative association
Answer:
Step-by-step explanation:
If you plot those coordinates in your calculator in the stat plot function under "stat", you will see that the dots are almost but not quite in a straight line going from upper left to lower right. This indicates a strong negative linear association, third choice down.
Answer:
D. Nonlinear Negative Association
Step-by-step explanation:
7. Which expression is equivalent to the expression (5.5 X 107)(3.2 x 10') 2 X 105
A. 8.8 x 1011
B. 8.8 x 1021
C. 1.74 x 105
D. 1.74 x 1017
Answer:
soln:
(5.5 × 107)
(3.2 × 10')
+ 2 × 105
_______________
8.8. ×.1011
8 x (5 - 2) = ( _ x 5) - ( _ x 2)
Answer:
8 x (5 - 2) = ( 8 x 5) - ( 8 x 2)
Step-by-step explanation:
8 x (5 - 2) = ( _ x 5) - ( _ x 2)
Distribute
8 x (5 - 2) = ( 8 x 5) - ( 8 x 2)
[tex]\sqrt{\\\frac{9+\sqrt{17} }{2}[/tex]
[tex]\huge\underline\pink{✏ANSWER}[/tex]
Hello and sorry but it's a Gatheted Question Can you fix it Can you?Sorry for answering a nonsense
#BrainliestBunch
Please hurry I will mark you brainliest
Please help me out with my maths I would really appreciate it
Answer:
a.
1. The rule in this sequence is (+5) every next pattern
2. 22, 27, 32, 37
3. 42
4. 12 term
5. 67
b.
1. The rule in this sequence is (-3) every next pattern
2. -7, -10, -13, -16
3. -16
4. 13 term
5. -37
Step-by-step explanation:
Answer:
I'm not sure about the answer.
a.
1. The rule in this sequence is (+5) every next pattern
2. 22, 27, 32, 37
3. 42
4. 12 term
5. 67
b.
1. The rule in this sequence is (-3) every next pattern
2. -7, -10, -13, -16
3. -16
4. 13 term
5. -37
Hope this helps you ^^
Which graph maps f(x) to g(x) using g(x) = -f(x) + 2? Explain the Reasoning
Answer:
Step-by-step explanation:
Jennifer has $400 more than Brian has. If she were to give Brian 20% of her money, then Brian would have 2 3 of the amount of money that Jennifer would then have. How much money does Brian currently have (before exchanging money)
Answer: [tex]\$202[/tex]
Step-by-step explanation:
Given
Jennifer has $400 more than Brian
Suppose Brian has x amount initially
So, Jennifer has 400+x
If Jennifer gives 20% of her to Brian, then brian would have two-third of the amount Jennifer left with
[tex]\Rightarrow \dfrac{2}{3}\times [400+x](1-0.2)=[400+x](0.2)+x\\\\\Rightarrow \dfrac{2}{3}\times 0.8\times (400+x)=80+0.2x+x\\\\\Rightarrow 213.334+0.533x=80+1.2x\\\Rightarrow 133.334=0.66x\\\Rightarrow x=\$202.02[/tex]
Thus, Brain has [tex]\$202[/tex]
Ayuda plis..
5 (2x+3) - 4x= - 4 +3 (x-4)
Answer:
x=- 31/3
Step-by-step explanation:
distribute 5(2x+3)-4x=-4+3x(x-4)
10x+15-4x=-4+3(x-4)
combine like terms
distribute
The formula for the lateral surface area of a cone—that’s the surface that isn’t the base—is π × r × sqrt(h² + r²); h is the height of the cone and r is the radius of its base. A circular #2 pencil is 6 mm in diameter, and a pencil sharpener creates a cone-shaped end that is 20 mm in height. Find the surface area of the sharpened part of the pencil.
A shop owner buys loaves of bread at $4800 and sells them for $5650 each. Find the percentage profit/ loss earned.
Answer:
17.708333% increase
Step-by-step explanation:
To find the percent increase take the new price and subtract the old price
5650-4800
850
Divide by the old price
850/4800
0.177083333
Change to percent form
17.708333% increase
find the interquartile range for a data set having the five-number summary: 3.1,9.8,16.1,22.9,28.1
Answer:
Step-by-step explanation:
Steps:
Step 1: Put the numbers in order. ...
Step 2: Find the median. ...
Step 3: Place parentheses around the numbers above and below the median. Not necessary statistically, but it makes Q1 and Q3 easier to spot. ...
Step 4: Find Q1 and Q3. ...
Step 5: Subtract Q1 from Q3 to find the interquartile range.
Answer: 13.1
Step-by-step explanation:
whats the perimeter and area of this shape?
Answer:
60+14.35=88.27
Step-by-step explanation:
5x12 for the rectangle on the right, then for the circle, using the formula A=πr², I get 28.27, which you divide by 2 because you only need half of the circle, and you get 88.27. I calculated the radius by subtracting 12-6 and then dividing that in half because the radius is half of the distance to the other end of the circle. Then you get the radius of 3, then plug it into the formula to get π(3)², which is just 3.14(9), and you get 28.27.
Answer:
P = 37.42478 A = 88.27
A circle has a radius of 8cm. An angle of 1.4 radians is subtended at the center by an arc. Calculate the length of the arc
Answer:
11.2 cm
Step-by-step explanation:
Given that;
Arc Length Formula (if θ is in radians): l = ϴ × r
ϴ = angle subtended in radians
r= radius of the circle
l = 8cm × 1.4 radians
l= 11.2 cm
