There were 96 members in a club. The ratio of the number of female members to male members was 7:5. When 58 new members joined the club, the ratio became 5:6. How many of the new members were males?

Answer:

2x/3 - 5 = 21

2x/3 = 26

2x = 78

x = 39

Step-by-step explanation:

Answer:

x = 39

Step-by-step explanation:

Answer:

Step-by-step explanation:

That will be 3a + 3b + 3c pounds of mortar.

as there will be 3a pounds of water and 3c pounds of cement.

Answer:

2+2y

Step-by-step explanation:

20=2(y-6)+10

20= (2×y-2×6)+10

20= (2y-12)+10

Open the bracket

20=2y-12+10

Collect liked terms

20=12+10+2y

20=22+2y

=22-20+2y

2+2y

Hope this helps

Comment for more explanation

Answer:

"statement 1: The number of boys at the school is [tex]\frac{4}5[/tex] of the number of girls." is true.

Step-by-step explanation:

Given:

Ratio of Number of boys to the number of girls = 4 : 5

Total number of students = 270

To find:

Number of boys in terms of number of girls = ?

Solution:

As per given statement,

Let, Number of boys = [tex]4x[/tex]

Let, Number of girls = [tex]5x[/tex]

Total number of students = Number of boys + Number of girls = 270

[tex]\Rightarrow 4x+5x =270\\\Rightarrow 9x=270\\\Rightarrow \bold{x = 30}[/tex]

Therefore, number of boys = 4 [tex]\times[/tex] 30 = 120

And, number of girls = 5 [tex]\times[/tex] 30 = 150

As per Statement 1:

Finding [tex]\frac{4}5[/tex] of the number of girls:

[tex]\dfrac{4}{5}\times 150 = 4 \times 30 = 120[/tex] = Number of boys.

Finding [tex]\frac{4}9[/tex] of the total number of students:

[tex]\frac{4}{9}\times 270= 4 \times 30 = 120[/tex] = Number of boys.

Number of boys is equal to [tex]\frac{4}9[/tex] of total number of students.

So, "statement 1: The number of boys at the school is [tex]\frac{4}5[/tex] of the number of girls." is true.

Answer:

6 ducks

Step-by-step explanation:

Monday, Brian counted 28 ducks and Cathy counted 15 ducks

                = 28+15 =43

Tuesday, they counted 37

Monday count - Tuesday count

43 - 37 =6

Answer:ok

Step-by-step explanation:wow

Answer:

y = ½x + ¾

slope (m) = ½

y-intercept(b) = ¾

Step-by-step explanation:

4y - 2x = 3

4y = 2x + 3

y = (2x + 3) ÷ 4

y = 2/4x + 3/4

y = ½x + ¾

slope (m) = ½

y-intercept(b) = ¾

Answer:

E. - 7

Step-by-step explanation:

2x2-X2+5X-10-4=0

X2+5X-14=0

X2-2X+7X-14.=0

X(X-2). 7(X-2)=0

(X+7). (X-2)

X=-7, X=2

Answer:

the answer is -7 and 2

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{10 {x}^{2} - 8x + 8}}}}}[/tex]

Option A is the correct option

Step-by-step explanation:

[tex] \sf{8 {x}^{2} + x - 5 + (2 {x}^{2} - 9x + 13)}[/tex]

When there is a ( + ) in front of an expression in parentheses , there is no need to change the sign of each term.

That means, the expression remains the same.

Also, Remove the unnecessary bracket

⇒[tex] \sf{8 {x}^{2} + x - 5 + 2 {x}^{2} - 9x + 13}[/tex]

Collect like terms

⇒[tex] \sf{8 {x}^{2} + 2 {x}^{2} + x - 9x - 5 + 13}[/tex]

⇒[tex] \sf{10 {x}^{2} - 8x - 5 + 13}[/tex]

Calculate

⇒[tex] \sf{10 {x}^{2} - 8x + 8}[/tex]

Hope I helped!

Best regards!!

Answer:

-2 + 9i

Step-by-step explanation:

( 3 + 2i ) + ( -5 + 7i )

→ Remove brackets

3 + 2i +- 5 + 7i

→ Remember that the negative cancels out the plus

3 + 2i - 5 + 7i

→ Add the whole numbers together

-2 + 2i + 7i

→ Add the i values together

-2 + 9i

Answer:

[tex]\huge\boxed{-2 + 9i}[/tex]

Step-by-step explanation:

[tex]\sf (3+2i)+(-5+7i)\\Expanding \ Parenthsis\\3+2i -5 +7i\\Combining \ like \ terms\\3-5 + 2i+7i\\-2 + 9i[/tex]

This is the required answer in the form a + b i

Answer:

B. Sen α = BC/b

Step-by-step explanation:

Para un ángulo recto, el lado opuesto es el lado opuesto al ángulo, el lado adyacente es el lado entre el ángulo y el ángulo recto y la hipotenusa es el lado más largo (el lado opuesto al ángulo recto).

De identidades trigonométricas:

[tex]sen\ \alpha=\frac{opuesto}{hipotenusa}[/tex]

De la figura, el lado opuesto = altura = BC y la hipotenusa = b. Por lo tanto:

[tex]sen\ \alpha=\frac{opuesto}{hipotenusa}\\\\sen\ \alpha=\frac{BC}{b}[/tex]

The answer to the question is 46

it is a number less then zero

Answer:

a negative number is when a number exceeds below zero

for example 7 --8 would be -1

Answer:

89 , 91

Step-by-step explanation:

let one be x and the other be x+2

Supplementary angles are those angles that sum up to [tex]180^{o}[/tex]

equating both sides

x+x+2 = 180

2x+2 = 180

2x = 180-2

2x = 178

x = 89

x+2 = 89+2 = 91

Answer:

its a.

Step-by-step explanation:

Answer:

Option two and three for the domain and range question

Answer:

------->

Step-by-step explanation:

corresponding parts - angles or sides in the same position on similar figures

congruent - having the same exact size and shape

similar figures - figures that have the same shape but not necessarily the same size

congruent figures - figures that have the same size and shape

scale factor - the ratio between the lengths of corresponding sides in similar figures

Answer:

Step-by-step explanation:

-5+1

-4

Answer:

DIVISION PROPERTY OF EQUALITY

Step-by-step explanation:

Given the equation r4 = 16,wm we can rewrite the equation as 4r = 16

The coefficient at the left hand side of the equation that we are to move to rge right is 4 (the number attached to the r variable). To do this we are going to apply the Division property of equality. This property is a property where both sides of an equation is divided through by the same constant without affecting the equality sign or by still keeping the equation.

To move the coefficient of r to the other side, we will divide both sides of the equation by 4 as shown;

4r/4 = 16/4

r = 4×4/4

r = 4

Hence the property that is used to move the coefficient (4) to the other side of the equation is the DIVISION PROPERTY OF EQUALITY.

==================================================

Work Shown:

Straight lines DF and EC intersect at point A. Because of this, angle DAF is a 180 degree angle.

Angles DAB, BAC, and CAF all combine to form a straight 180 degree angle.

Add up the angles mentioned, set the sum equal to 180, and solve for x

-----------

(angle DAB) + (angle BAC) + (angle CAF) = 180

x + 80 + 60 = 180

x + 140 = 180

x + 140-140 = 180-140 ... subtract 140 from both sides

x = 40

Answer:

[tex]\Huge \boxed{x=40\°}[/tex]

Step-by-step explanation:

Angles on a straight line add up to 180 degrees.

We can create an equation and solve for x.

x + 80 + 60 = 180

Add the numbers on the left side.

x + 140 = 180

Subtract 140 from both sides.

x + 140 - 140 = 180 - 140

x = 40

Answer:

4

Step-by-step explanation:

- and - become +

so, -12 + 8 = -4

but we remove the minus and make it a positive 4

Answer:

24

Step-by-step explanation:

Answer:

(-8)/27

Step-by-step explanation:

Simplify the following:

(-2)/(3 (2 + 1/4))

Put 2 + 1/4 over the common denominator 4. 2 + 1/4 = (4×2)/4 + 1/4:

(-2)/(3 (4×2)/4 + 1/4)

4×2 = 8:

(-2)/(3 (8/4 + 1/4))

8/4 + 1/4 = (8 + 1)/4:

(-2)/(3 (8 + 1)/4)

8 + 1 = 9:

((-2)/3)/(9/4)

Multiply the numerator by the reciprocal of the denominator, ((-2)/3)/(9/4) = (-2)/3×4/9:

(-2×4)/(3×9)

3×9 = 27:

(-2×4)/27

-2×4 = -8:

Answer: (-8)/27

Answer:

-8/27

Step-by-step explanation:

-2/3 ÷ 2  1/4

Change to an improper fraction

-2/3 ÷ ( 4*2+1)/4

-2/3 ÷9/4

Copy dot flip

-2/3 * 4/9

-8/27

Answer:

28

Step-by-step explanation:

The first five prime numbers are = 2,3,5,7,11

Addition of the prime nos. = 2+3+5+7+11=28

The first prime numbers are: 2, 3, 5, 7, 11.

The sum is 2 + 3 + 5 + 7 + 11 = 28, so option 4

Step-by-step explanation: lol like a dozen

Data:

age of Dollah = x (unknown element)

age of Fatimeh = x + 5 (age of Dollah + 5)

the product is 234

Equation:

x * (x + 5) = 234

x² + 5x = 234

x² + 5x - 234 = 0

Δ = b² - 4 a c = 5² - 4 (1 * -234) = 25 - 4 (-234) = 25 - (-936)

= 25 + 936 = 961

x₁,₂=[tex]\frac{b^{2} ± \sqrt{delta} }{2a}[/tex] = [tex]\frac{5^2 +/- \sqrt{961} }{2}[/tex] = [tex]\frac{25 +/- 31}{2}[/tex]

x1 = (25+31)/2 =  56 / 2 = 28

x2 = (25 -31)/2 = -6 / 2 = -3 [age can't be negative, so the first one is accettable]

So:

Dollah's age (x) = 28 years old

Fatima's age (x + 5) = 28 + 5 = 32 years old

Answer:

7√2

Step-by-step explanation:

Knowing that the angle is 45° (or π/4 radians) and the opposite leg has a length of 7,  you can find the length of b with:

7 / b = sin(π / 4)

7 / (sin(π / 4)) = b

b = 7 / (1 / √2)

b =7√2

A simpler way to get the answer is to note that a right triangle with one 45° angle must be an isoceles right triangle, so both legs are the same length. Using the Pythagorean Theorem:

a² + 7² = b²

Since we know a = 7,

7² + 7² = b²

b = √(2 * 49)

b = 7√2

The U shape is called a parabola

If the "a" is positive, then the parabola opens upward as shown in the graph on the left.

If "a" is negative, then the parabola opens downward. This is the parabola on the right.

The way I remember is that "a" being positive means it puts a smile on, which is what the parabola on the left resembles. The parabola on the right is a frowny face so "a" is negative.

A parabola is vertically cut in half by the axis of symmetry. One half mirrors over this vertical line to get the other half. The axis of symmetry passes through the vertex. The vertex is either the highest point or the lowest point depending on whether 'a' is negative or positive.

===============================================

Explanation:

To go from term to term, we are multiplying by 2

-7 * 2 = -14

-14 * 2 = -28

-28 * 2 = -56

This means the common ratio is 2 and this sequence is geometric.

---------

Alternatively, you can divide each term by its prior term

-56/(-28) = 2

-28/(-14) = 2

-14/(-7) = 2

Each time we get the same result showing the common ratio is 2.

Answer:

Geometric

Step-by-step explanation:

It multiplies by two each time