Answer:
72
Step-by-step explanation:
Since there are 18 more boys than girls, we know that in the ratio 5:3, 5 is for boys and 3 is for girls.
Now, we can set up a proportion to first find the number of girls.
Let's name the number of girls x.
The number of boys is x+18.
3/5=x/x+18
Cross multiply.
5x=3(x+18)
Distribute.
5x=3x+54
Subtract 3x from both sides.
2x=54
Divide both sides by 2.
x=27
There are 27 girls.
We know that there are 18 more boys that girls.
27+18=45
There are 45 boys.
Add the number of boys and girls together to find total number of people.
27+45=72
There are 72 people in total.
The work shows finding the sum of the algebraic expressions –3a + 2b and 5a + (–7b). –3a + 2b + 5a + (–7b) Step 1: –3a +5a+ 2b + (–7b) Step 2: (–3 + 5)a + [2 + (–7)]b Step 3: 2a + (–5b) Which is used in each step to simplify the sum? Step 1: Step 2: Step 3:
Answer:
Step 1: Commutative property
Step 2: Distributive property
Step 3: Add
Hope this helps you out!
Answer:
look at file for answer
Step-by-step explanation:
Consider the system of equations. 5x + 2y = 6, 10x + 4y = 12 Which equation is equivalent to the first equation of the system and can be used to solve the system using the linear combination method
Step-by-step explanation:
(5x+2y=6)2
10x+4y=12
10x+4y=12 then substract
10x+4y=12
0=0 true so, it have infinite s/n
in a group of students the ratio of the number of students who liked music and sport is 9:7. out of which 25 liked both the activities, 20 liked music only and 15 liked none of the activities .
i)find the total number of students in group
Answer:
Hello,
Total number : 70
Step-by-step explanation:
20 + 25 = 45
45 liked music
X liked sport only
X + 25 liked sport
45 / 9 = (X + 25) / 7 ⇔ 7 x 5 = X + 25 ⇔ X = 35 - 25 ⇔ X = 10
10 liked sport only
Total students in group : 45 + 10 + 15 = 70
In a group of students the ratio of the number of students who liked music and sport is 9:7. out of which 25 liked both the activities, 20 liked music only and 15 liked none of the activities. 70 is the total number of students in group.
What is mathematical ratio?
An ordered pair of integers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion constitutes a equation that sets two ratios at the same value.
Ratios contrast two figures by typically dividing them. A/B would be your formula if you were evaluating one data point (A) to another data point (B). This indicates that you are multiplying information A by information B. For instance, your ratio are going to be 5/10 if A is 5 and B is 10.
20 + 25 = 45
45 liked music
X liked sport only
X + 25 liked sport
45 / 9 = (X + 25) / 7 ⇔ 7 x 5 = X + 25 ⇔ X = 35 - 25 ⇔ X = 10
10 liked sport only
Total students=45 + 10 + 15 = 70
Therefore, 70 is the total number of students in group.
To know more about mathematical ratio, here:
https://brainly.com/question/20387079
#SPJ2
50. Express
-44 in the form bi where b is a real number.
TIME SENSITIVE‼️‼️‼️
Answer:
A
Step-by-step explanation:
i is the same as negative squareroot of one. Then you have 2 squareoot of 11 which is the same as squareroot of 44
simplify the following expression 2(x+16)+3(2x+5)
Answer:
8x+47
Step-by-step explanation:
First, distribute. Then, solve! Done! ^_^
Hope I helped, have an awesome day! :D
Please answer as soon as you see this it’s urgent
Answer:
m∠DEH= 128.6°
Step-by-step explanation:
∠GHJ and ∠DEH are both congruent to each other because lines DF and GI are both parallel to each other.
This means, if m∠GHJ is 128.6°, m∠DEH is also 128.6°.
Answer:
128.6
Step-by-step explanation:
GHJ= DEH
adjasent angle
A hot metal plate at 150°C has been placed in air at room temperature. Which event would most likely take place over the
next few minutes?
Molecules in both the metal and the surrounding air will start moving at lower speeds.
Molecules in both the metal and the surrounding air will start moving at higher speeds.
The air molecules that are surrounding the metal will slow down, and the molecules in the metal will speed up
The air molecules that are surrounding the metal will speed up, and the molecules in the metal will slow down
Answer:
Molecules in both the metal and the surrounding air will start moving at lower speeds?
Step-by-step explanation:
I'm not sure this is the right answer, because i thought that the air and the metal would be in equilibrium.
So sorry if this is wrong, chemistry isn't my strongest subject.
Answer:
The air molecules that are surrounding the metal will speed up, and the molecules in the metal will slow down.
Step-by-step explanation:
which of the following statements correctlydescribes the points
The first statement is correct
To calculate the distance we have to substrate the values of the Y axis only since X values are constant so the distance IS 4 - - 7=4+7=11
Answer:
The first answer. The distance is 11.
answer plz..............................................
Answer: $1200
Step-by-step explanation:
SO we know that their income is 5000 and 25% of it i for food.
so we will multiply 25% * 5000 =1250 so we know that out of the 5000, $1250 - $50=$1200
This means that 1% of the was reduce.So now the food budget will be 24% out of the total budget.
Miguel stated that any monomial can be a cube root. Sylvia disagreed and said that a monomial cube root must have exponents divisible by 3. Who is correct, and why?
Sylvia is correct. Any variable term, when it is cubed, always has an exponent divisible by 3.
Miguel is correct. Any monomial can be a perfect cube root because, when it is cubed, the variables will have exponents divisible by 3.
Sylvia is correct. In order for the cube to have exponents that are divisible by 3, the cube root has to be divisible by 3.
Miguel is correct. Sylvia confused the perfect square root with the perfect cube root.
Option B. is correct
Polynomial equation are equation of number independent variables having relationship with dependent variable.
Since,
A monomial can have higher exponents so its exponents has probability to get divisible by 3 so when cube root for monomial performed.
for example [tex]\sqrt[3]{x^3}[/tex] = x
Thus, Miguel is correct. Any monomial can be a perfect cube root because, when it is cubed, the variables will have exponents divisible by 3.
Learn more about polynomial here:
brainly.com/question/11536910
#SPJ2
Answer:
option B
Step-by-step explanation:
edge 2023
please help will mark brainlist
Answer:
Step-by-step explanation:
8/17
Answer:
8/17
Step-by-step explanation:
cos = adjacent/hypotenuse
cos X = 8/17
Write the equation of the circle graphed below.
Answer:
The equation of the circle is [tex]{ \left(x - 1 \right)^2 + \left( y - 2 \right)^2 = \frac{ 25 }{ 4 } }[/tex].
Step-by-step explanation:
This is the general standard equation for the circle centered at (h, k) with radius r.
[tex](x-h)^2+(y-k)^2=r^2[/tex]
From the graph we know that the center, the red point, is (1, 2) and the circle pass through the point (2.5, 4) the blue point.
To find the standard equation of the circle you must:
Step 1: Find circle radius.
To find a radius of a circle we will compute the distance between points [tex]C=(1, 2)[/tex] and [tex]P=(2.5, 4)={ \left( \frac{ 5 }{ 2 } , 4 \right) }[/tex]. The distance can be computed by using formula:
[tex]r = \sqrt{ \left(C_x - P_x\right)^2 + \left(C_y - P_y\right)^2 }\\\\r = \sqrt{ \left(1 - \frac{5}{2} )^2 + \left(2 - 4)^2 }[/tex]
[tex]r=\sqrt{\frac{3^2}{2^2}+2^2}=\sqrt{\frac{9}{4}+4}=\sqrt{\frac{25}{4}}=\frac{5}{2}[/tex]
Step 2: Substitute the values of the radius and the center into the general standard equation for the circle.
[tex]\begin{aligned} \left(x - 1 \right)^2 + \left(y - 2 \right)^2 &= \left(\frac{ 5 }{ 2 }\right)^2 \\ \left(x - 1 \right)^2 + \left( y - 2 \right)^2 &= \frac{ 25 }{ 4 } \end{aligned}[/tex]
Multiply the (9c^6) (3c^6)=
Answer:
27 c to the power of 12
Step-by-step explanation:
Answer:
The answer is 27c¹² .
Step-by-step explanation:
You have to use Indices Law,
[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]
So for this question :
[tex] 9{c}^{6} \times 3 {c}^{6} [/tex]
[tex] = (9 \times 3) {c}^{(6 + 6)} [/tex]
[tex] = 27 {c}^{12} [/tex]
Which expressions are equivalent to - f - 5(2f – 3)?
Choose all answers that apply:
-11f-3
- 11f + 15
None of the above
Answer:
- 11f + 15
Step-by-step explanation:
- f - 5(2f - 3)
= - f - 10f + 15
= - 11f + 15
Jimmy pumps 288,000 cubic centimeters of air into a spherical balloon. What is the radius of the balloon?
There are no options to choose from
Answer:
r: radius of balloon
V = (4/3)*pi*r^3 = 288000
=> r^3 = 288000*(3/4)/pi
=> r^3 = 68754.94
=> r = [tex]\sqrt[3]{68754.94}[/tex] = ~40.97 cm
Please help!
Find the interval of convergence for:
Please note: The 2 in the picture must actually also be an exponent, so n^2^n.
Answer:
-∞ < x < ∞
Step-by-step explanation:
∑ xⁿ / n^(2ⁿ)
Apply ratio test:
lim(n→∞) | [xⁿ⁺¹ / (n+1)^(2ⁿ⁺¹)] / [xⁿ / n^(2ⁿ)] |
lim(n→∞) | [xⁿ⁺¹ / (n+1)^(2ⁿ⁺¹)] × [n^(2ⁿ) / xⁿ] |
lim(n→∞) | x n^(2ⁿ) / (n+1)^(2ⁿ⁺¹) |
0
The series converges for all values of x.
The area of a square is 16 square units. What is the length of a side?
Answer:
4 is the length of a side.
Step-by-step explanation:
16 divided by 4 equals 4
Answer:
4 units
Step-by-step explanation:
The area of a square is denoted by: A = s², where s is the side length.
Here, we know that the area is 16, so plug this in for A:
A = s²
16 = s²
s = √16 = 4
Thus, the side length is 4 units.
~ an aesthetics lover
Which expressions have a value of 15 when
S = 15
what are the answer choices?
The expression S/3 + 10 has the value of 15 when S = 15. Then the correct option is A.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Let's check all the options, then we have
A. S/3 + 10
If S = 15, then we have
⇒ 15 / 3 + 10
⇒ 5 + 10
⇒ 15
B. S/2 + 10
If S = 15, then we have
⇒ 15 / 2 + 10
⇒ 10 + 10
⇒ 20
C. S + 10
If S = 15, then we have
⇒ 15 + 10
⇒ 15 + 10
⇒ 25
D. - S/3 + 10
If S = 15, then we have
⇒ -15 / 3 + 10
⇒ -5 + 10
⇒ 5
The expression S/3 + 10 has the value of 15 when S = 15. Then the correct option is A.
More about the value of the expression link is given below.
https://brainly.com/question/23671908
#SPJ2
The missing options are given below.
A. S/3 + 10
B. S/2 + 10
C. S + 10
D. - S/3 + 10
Please help me I’m about to cry
Answer:
LKH and JKM
Step-by-step explanation:
Aye, if you're gonna cry bro, take a break. This stuff means nothing in like 2 or 3 years. Trust me :)
Answer: it is angle LKH and angle JKM
Step-by-step explanation:
Verticals angles are angles that are opposite to each other and have the same degree measure. Since line JL is parallel to line GI, then MF is the transversal, creating some vertical angles. I’m not sure how else to explain it but you can connect the letters (in order) of the different angles to figure out what angles they are, and then find ones that are opposite angles. I hope this helped!
Karina bought 8 bagels and used a gift certificate for $4. Her total cost is represented by the expression 8b - 4, where b is the cost of a bagel. What is an equivalent expression?
Answer:
An equivalent expression = 8b + (-4)
Step-by-step explanation:
In Mathematics, numbers exhibit or are guided by certain properties that they can show.
Some of those of properties are :
a) Commutative property where:
a + b = b + a
b) Associative property
a+( b + c) = (a + b) + c
c) Additive inverse property
a - b = a + ( - b)
For the question above, we are told that the total cost of what Karen bough is represented by the expression 8b - 4. We are asked find the equivalent expression.
An equivalent expression is defined as an expression that has the exact value for all the values obtained from the variable.
Hence, using the Additive inverse property
a - b = a + ( - b)
The equivalent expression for 8b - 4 = 8b + ( -4)
Solve the following equation using any method of your choosing: 6x² +24x = 0
Answer:
x = 0 or x = -4
Step-by-step explanation:
Solve: 6x² +24x = 0
First you can factor this binomial.
6x² +24x = 6x (x + 4) = 0
so x = 0 or x + 4 = 0
x = 0 or x = -4
Una caja grande cuesta lo mismo que tres pequeñas. Si 7 cajas grandes y 4 pequeñas cuestan $12 más que 4 grandes y 7 pequeñas ¿Cuál es el sistema de ecuaciones que modela el sistema?
Answer:
[tex] x = 3y [/tex]
[tex]7x+4y= 12 + 4x+7y[/tex]
Step-by-step explanation:
Para resolver la pregunta, basta con definir variables adecuadas y traducir cada relación. Sea x el costo de una caja grande e y el costo de una caja pequeña. Tenemos que el costo de una caja grande es igual a 3 cajas pequeñas. Es decir, x = 3y. Luego, tenemos que
[tex]7x+4y= 12 + 4x+7y[/tex]
pues al sumarle 12 al costo de 4grande y 7 pequeñas obtenemos el costo de 7 grande y cuatro pequeñas. De aquí, el sistema de ecuaciones que modela el sistema es
[tex] x = 3y [/tex]
[tex]7x+4y= 12 + 4x+7y[/tex]
There are 125 sheep and 5 dogs in a flock how old is the shepherd?
Answer:
25 years old
hope this helps
~savannah:))
If there are 125 sheep and 5 dogs in a flock then the shepherd is 25 years old.
What is Division?A division is a process of splitting a specific amount into equal parts.
Given,
The number of sheeps are 125
One hundred twenty five
The number of dogs are 5
Five.
We need to find how old is the shepherd
To find this we just need to divide one hundred twenty five by five
125/5
25
Hence, if there are 125 sheep and 5 dogs in a flock then the shepherd is 25 years old.
To learn more on Division click:
https://brainly.com/question/21416852
#SPJ5
A race awards prizes for the first and second place winners. If 10 people enter the race, how many different ways can the prizes be awarded?
Group of answer choices
90
10
45
20
Answer:
10
Step-by-step explanation:
there is only ten ways to do it
What is the slope of the line
the slope of the line above is -2
Need help plssssss fast hurry plsss
Answer:
50 ft2
Step-by-step explanation:
im not sure if this is right but this is what i got when i worked it out
Answer: [tex]150ft^2[/tex]
Step-by-step explanation:
length: [tex]7\frac{1}{2}in[/tex] Convert to an improper fraction. [tex]\frac{7*2+1}{2}=\frac{15}{2}[/tex]
width: [tex]5 in[/tex]
[tex]Formula: A=w*l[/tex]
[tex]A=(5in)(\frac{15}{2}in)\\A=\frac{75}{2}in^2[/tex]
Convert to ft. I assume your conversion factor is [tex]\frac{1}{2}in. : 1ft[/tex]. However, the unit we need is squared. Square both sides.
[tex](\frac{1}{2}in.)^2 : (1ft)^2[/tex]
[tex]\frac{1}{4}in^2 : 1ft^2[/tex]
Convert.
[tex]\frac{75}{2}in^2(\frac{1ft^2}{\frac{1}{4}in^2 } )=[/tex]
Invert the fraction in the denominator and multiply it by the numerator.
[tex]\frac{75}{2}in^2*1ft^2*4in^-^2=75*2ft^2=150ft^2[/tex]
3
Find the volume of the prism. *
1.5 m
2 m
4 m
Answer choices are:
A) 8m^3
B) 12m^3
C)10m^3
6m^3
Answer:
[tex]12m^{3}[/tex]
Step-by-step explanation:
Multiply all the variables together to get the answer (only for rectangular prism).
So I basically did 4 x 2 x 1.5 = 12 Then I applied the unit of measurement and cubic meters as it is volume.The formula is length x width x heightWrite the quadratic equation in standard form:
X2– 20 = 52
Answer:
[tex] {x}^{2} - 72 = 0[/tex]
Step-by-step explanation:
[tex]the \: standard \: form \: a \: quadratic \: equation \:\\ is \:a {x}^{2} + bx + c = 0 \\ \therefore \: {x}^{2} - 20 = 52 \\ {x}^{2} - 20 - 52 = 0 \\ {x}^{2} - 72 = 0[/tex]
Which is the simplified form of m Superscript negative 8 p Superscript 0?
StartFraction 1 Over m Superscript 8 Baseline p EndFraction
StartFraction 1 Over m Superscript 8 EndFraction
StartFraction p over m Superscript 8 EndFraction
m Superscript 8
i think it is C
Step-by-step explanation:
Answer:
1 or D
Step-by-step explanation:
Unit 5. 6) Please help. A block of wood has a density of 2.7 grams per cubic centimeter. If the block has a mass of 54 grams, what is its volume?
Answer:
V = 20 cm^3
Step-by-step explanation:
density = mass / volume
2.7 grams/ cm^3 = 54 grams / V
Multiply V on each side
V *2.7 grams/ cm^3 = 54 grams / V *V
Divide each side by 2.7
V = 54 grams / 2.7
V = 20 cm^3
Answer:
The correct answer is option 2, 20cm.
