Answer:
52
you take 5 ÷ it by 7 the ×it by 595
A ratio is an ordered pair of numbers a and b written as a/b where b is not equal to zero.
if the number of women in the social club is 595 then the number of men in the social club is 425.
What are ratios and proportions?A ratio is an ordered pair of numbers a and b written as:
a / b where b does not equal 0.
A proportion is an equation in which two ratios are equal to each other.
We have,
The ratio of men to women:
= 5:7
= 5/7
Let,
The number of men = 5x
The number of women = 7x
Now,
If the number of women = 595
We have,
7x = 595
Multiplying both sides by 5/7 we get,
5/7 x (7x) = 5/7 x 595
5x = 5/7 x 595
5x = 5 x 85
5x = 425
This means if there are 435 men in the social club if the number of women is 595.
Thus if the number of women in the social club is 595 then the number of men in the social club is 425.
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Whenringingupacustomer,acashierneeds15secondstoprocesspaymentaswellas3secondstoscaneachitembeingpurchased.Ifittakes21secondstoringupacustomer,howmanyitemsarebeingpurchased?
Answer:
um, can you make that a bit clearer thanks! (:
Step-by-step explanation:
Hi May I know how to solve this question
What is the unit rate (words per 1 minute) for
this scenario?
Lucy can type 300 words in 5 minutes. How many words can Lucy type in 27 minutes.
Christian's car used 15 gallons to travel 270 miles. How far can he travel on 11 gallons?
Answer:
198
Step-by-step explanation:
270/15 gives us 18, his miles per gallon. multiply that by 11, and you get 198.
Kesha drives 26 miles in 48 minutes. Keeping the same rate, how many miles does she drive in 12 minutes
DOES ANYONE KNOW THIS?????
Answer:
if i;m right its 45 degrees
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
alternative angle theorem lets you know that angle acb is equal to cae and you can find acb since you know all angles add up to 180. 180-105-47=28
state the domain, the range, and the intervals on which function is increasing, decreasing, or constant in interval notation
Answer:
domain (-∞, ∞)range (-∞, 4]increasing (-∞, 0)decreasing (0, ∞)constant (only at x=0, not on any interval)Step-by-step explanation:
The graph is of the equation y = -x^2 +4. It is a polynomial of even degree, so has a domain of all real numbers: (-∞, ∞).
The vertical extent of the graph includes y=4 and all numbers less than that:
range: (-∞, 4]
The graph is increasing to the left of its vertex at x=0, decreasing to the right.
increasing (-∞, 0); decreasing (0, ∞)
There is no interval on which the function is constant. It has a horizontal tangent at x=0, but a single point does not constitute an interval.
NEED HELP ASAP!!!
TEN POINTS!
9) What two operations are needed to solve 2x - 4 = 16?
a. Addition & division
b. Addition & subtraction
c.Multiplication & subtraction
Answer:
a. Addition & division
Step-by-step explanation:
2x - 4 = 16 (adding 4 to both sides)
2x = 16 + 4
2x = 20 (dividing both sides by 2)
x = 20/2 = 10
Hence we can see that the two operations are addition and then division
True or false: To determine the absolute value of a number, you can count how many units it is from zero.
Answer:
True the absolute value is how many digits away the number is from zero.
Step-by-step explanation:
I need help ASAP PLEASE!
Determine whether this statement is true or false. If the statement is false, give a counterexample.
Statement: All integers are rational numbers.
¿Cuál es el valor de 0.1561 redondeado a la décima más cercana?
A 0.15
B 0.16
C 0.1
D 0.2
Answer:
A0.15
Step-by-step explanation:
3/5(1 + p) = 21/20
find the solution to p
Answer:
3/4
Step-by-step explanation:
3/5(1+p)-21/20
3/5+3/5p=21/20
3/5p=21/20-3/5
3/5p=21/20-12/20
3/5p=9/20
p=9/20÷3/5
p=9/20*5/3
p=45/60
p=3/4
Please help me to prove this!
Answer: see proof below
Step-by-step explanation:
Given: A + B + C = π → A = π - (B + C)
→ B + C = π - A
Use the Pythagorean Identity: cos² A + sin² A = 1 → sin² A = 1 - cos² A
Use Double Angle Identities: cos 2A = 2 cos² A - 1 → cos² A = (cos 2A + 1)/2
→ cos A = 1 - 2 sin² (A/2)
Use Sum to Product Identity: cos A + cos B = 2 cos [(A + B)/2] · cos [(A - B)/2]
Use Cofunction Identities: cos (π/2 - A) = sin (A)
sin (π/2 - A) = cos A
cos (-A) = cos (A)
Proof LHS → RHS:
[tex]\text{LHS:}\qquad \qquad \sin^2\bigg(\dfrac{B}{2}\bigg)+\sin^2 \bigg(\dfrac{C}{2}\bigg)-\sin^2\bigg(\dfrac{A}{2}\bigg)[/tex]
[tex]\text{Pythagorean:}\qquad 1-\cos^2 \bigg(\dfrac{B}{2}\bigg)+1-\cos^2 \bigg(\dfrac{C}{2}\bigg)-\bigg[1-\cos^2 \bigg(\dfrac{A}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =1-\cos^2 \bigg(\dfrac{B}{2}\bigg)-\cos^2 \bigg(\dfrac{C}{2}\bigg)+\cos^2 \bigg(\dfrac{A}{2}\bigg)[/tex]
[tex]\text{Double Angle:}\quad 1-\bigg(\dfrac{\cos(2\cdot \frac{B}{2})+1}{2}\bigg)-\bigg(\dfrac{\cos (2\cdot \frac{C}{2})+1}{2}\bigg)+\bigg(\dfrac{\cos (2\cdot \frac{A}{2})+1}{2}\bigg)\\\\\\.\qquad \qquad \qquad =1-\dfrac{\cos B}{2}-\dfrac{1}{2}-\dfrac{\cos C}{2}-\dfrac{1}{2}+\dfrac{\cos A}{2}+\dfrac{1}{2}\\\\\\.\qquad \qquad \qquad =\dfrac{1}{2}[1-(\cos B+\cos C)+\cos A][/tex]
[tex]\text{Sum to Product:}\qquad \dfrac{1}{2}\bigg(1-\bigg[2\cos \bigg(\dfrac{B+C}{2}\bigg)\cdot \cos \bigg(\dfrac{B-C}{2}\bigg)\bigg]+\cos A\bigg)[/tex]
[tex]\text{Given:}\qquad \dfrac{1}{2}\bigg(1-\bigg[2\cos \bigg(\dfrac{\pi -A}{2}\bigg)\cdot \cos \bigg(\dfrac{B-C}{2}\bigg)\bigg]+\cos A\bigg)[/tex]
[tex]\text{Cofunction:}\qquad \dfrac{1}{2}\bigg(1-\bigg[2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B-C}{2}\bigg)\bigg]+\cos A\bigg)[/tex]
[tex]\text{Double Angle:}\qquad \dfrac{1}{2}\bigg[1-2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B-C}{2}\bigg)+1-2\sin^2 \bigg(\dfrac{A}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =\dfrac{1}{2}\bigg[2-2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B-C}{2}\bigg)-2\sin^2 \bigg(\dfrac{A}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =1-\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B-C}{2}\bigg)-\sin^2 \bigg(\dfrac{A}{2}\bigg)[/tex]
[tex]\text{Factor:}\qquad \qquad 1-\sin \bigg(\dfrac{A}{2}\bigg)\bigg[ \cos \bigg(\dfrac{B-C}{2}\bigg)-\sin \bigg(\dfrac{A}{2}\bigg)\bigg][/tex]
[tex]\text{Given:}\qquad \qquad 1-\sin \bigg(\dfrac{A}{2}\bigg)\bigg[ \cos \bigg(\dfrac{B-C}{2}\bigg)-\sin \bigg(\dfrac{\pi -(B+C)}{2}\bigg)\bigg][/tex]
[tex]\text{Cofunction:}\qquad 1-\sin \bigg(\dfrac{A}{2}\bigg)\bigg[ \cos \bigg(\dfrac{B-C}{2}\bigg)+\cos \bigg(\dfrac{B+C}{2}\bigg)\bigg][/tex]
[tex]\text{Sum to Product:}\ 1-\sin \bigg(\dfrac{A}{2}\bigg)\cdot 2 \cos \bigg(\dfrac{(B-C)+(B-C)}{2\cdot 2}\bigg)\cdot \cos \bigg(\dfrac{(B-C)-(B+C)}{2\cdot 2}\bigg)\\\\\\.\qquad \qquad \qquad =1-2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B}{2}\bigg)\cdot \cos \bigg(-\dfrac{C}{2}\bigg)[/tex][tex]\text{Cofunction:}\qquad =1-2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B}{2}\bigg)\cdot \cos \bigg(\dfrac{C}{2}\bigg)[/tex]
[tex]\text{LHS = RHS:}\quad \checkmark\\\\\quad 1-2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B}{2}\bigg)\cdot \cos \bigg(\dfrac{C}{2}\bigg)=1-2\sin \bigg(\dfrac{A}{2}\bigg)\cdot \cos \bigg(\dfrac{B}{2}\bigg)\cdot \cos \bigg(\dfrac{C}{2}\bigg)\quad[/tex]
Which of the following options represents the graph of the function show above? f(x) = (x+3) ^3- 1
f(x) = (x-3) ^311
f(x) = (x-3)^3+ 1
f(x) = ( x + 3)^3+1
Answer:
C
Step-by-step explanation:
First, notice that this is a cubic function.
The standard form for a cubic function is:
[tex]f(x)=a(x-b)^3+c[/tex]
Where a is the vertical stretch, b is the horizontal shift, and c is the vertical shift.
From our graph, we can see that unlike the parent function, x³, this cubic is 3 units to the right and 1 unit up from the standard position.
Therefore, our b is +3 and c is +1. Let's substitute these values. Also, let's assume a is 1. So:
[tex]f(x)=(x-3)^3+1[/tex]
Therefore, our answer is C.
And we're done!
The ratio of dogs to cats is 3:8 there are a total of 99 dogs and cats in the shelter. How many are cats.
Answer:
72 cats
Step-by-step explanation:
sum the parts of the ratio, 3 + 8 = 11 parts
Divide the total by 11 to find the value of one part of the ratio.
99 ÷ 11 = 9 ← value of 1 part of the ratio, then
8 parts = 8 × 9 = 72 ← number of cats
For a science experiment, Marcia dissolved 1.0 kilogram of salt in 3.0 liters of water. For a different experiment, Bobby dissolved 2.0 pounds of salt in 7.0 pints of water. Which person made a more concentrated salt solution? Explain. Use 1 L = 2.11 pints. Round your answer to the nearest hundredth.
Step-by-step explanation:
The concentration of Marcia's solution is:
1.0 kg / 3.0 L = 0.33 kg/L
The concentration of Bobby's solution is:
(2.0 lb × 1 kg / 2.2 lb) / (7.0 pints × 1 L / 2.11 pints) = 0.27 kg/L
Therefore, Marcia's solution is more concentrated.
What is the area of this shape? Explain why?
1- Find the slope of the line: y = -4/3 X-1*
m= -1 m= -4 m= -4/3 m= 4 v
Slope-intercept form: y = mx + b
m = the slope
y = the y-intercept
In our problem,
y = -4/3x - 1
m = -4/3
The slope is -4/3
A pound is approximately 0.45 kilogram. A person weighs 87 kilograms. What is the person's weight, in pounds, when rounded to the nearest
whole number?
ОА
39 lb
OB. 52 lb
OC 193 lb
OD. 180 lb
Answer:
OC 193 lb is correcte!
The person's weight, in pounds, when rounded to the nearest
the whole number is equal to [tex]1.9\times10^{2} pound[/tex]
We have given that, A pound is approximately 0.45 kilogram.
0.45 kg = 1 pound
Thus if 0.45 kg is equal to= 1 pound
87 kg will be equal to [tex]=\frac{1}{0.45} \times 87=1.9 \times 10^2 pound[/tex]
What are the significant digits?The number of significant digits in an answer should be equal to the least number of significant digits in any one of the numbers being multiplied, divided, etc.
Thus the answer should contain 2 significant digits.
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How do you solve 2 1/3 + 5y = 4
Answer:
Not sure but that's my answer
Once you are finished with your practice problems respond to the discussion prompt:
Classify each of the following rational numbers as repeating or terminating decimals.
3/5
1/9
7/10
5/12
Answer:
terminating
repeating
terminating
repeating
Step-by-step explanation:
3/5 = 0.6 ; terminating
1/9 = 0.1111... ; repeating
7/10 = 0.7 ; terminating
5/12 = 0.41666666... ; repeating
X divided by 11 equals 10 divided by 12 what’s x
Answer:
x/11 = 10/12
x = 10*11/12= 55/6
Step-by-step explanation:
[tex] \huge \pink {\tt { \frac{x}{11} = \frac{10}{12}}} [/tex]
By cross multiplication, we get
12x = 110
or, x = 110/12 = 55/6
Answer: x = 55/6If mZA = (8x + 6)° and m
ZB = (7x + 24)', then find the measure of ZB
A very large book has pages numbered from 1 to 11521. How many times is the digit 3 printed? Helppp
Answer:
The total number of pages from page X to page Y is Y minus X plus 1.
So from 1 to 9, there are 9 minus 1 is 8 plus 1 is 9.
Step-by-step explanation:
if segment ac has a midpoint of b, and ab=32 and bc=5x+7, what is the length of segemnt bc
Answer:
BC = 32Step-by-step explanation:
B being midpoint of AC means:
BC = AB = 32
A dolphin is at the surface of rhe water and then descends to a depth of 4 1/2 feet then the dolphin swims down another 2 3/4 feet what is the location of the dolphin relative to the surface of the water
Answer:
down 7 1/4 feet
Step-by-step explanation:
4 1/2 + 2 3/4 = 4 2/4 + 2 3/4 = (4+2) +(2/4 +3/4) = 6 +5/4 = 7 1/4
The dolphin is 7 1/4 feet below the surface.
Answer:
Step-by-step explanation:
5. If x^1/2 =8, what is the value of x?
The function f is defined by the following rule.
f(x) = 3x - 3
Complete the function table,
X
- 4
2
5
5t+1= 9
Please help me
Exact Form: t = 8/5
Decimal Form: t = 1.6
Mixed Number Form: t = 1 3/5 (one and three fifths)
Answer:
t = 8/5 or t = 1.6
This will be a fraction buh can be turned into a decimal
Step-by-step explanation:
subtract 1 on both sides 5t + 1 - 1 = 9 - 1
then simplify 5t = 8 after det divide both side 5t/5 = 8/5 and den your answer is t = 8/5...
HOPE DIS HELPS YU OR IS RIGHT!!!!!