The sum of two numbers is 3 more than four times the first number. Their difference is 10 less than twice the second number. Find each of the numbers.

Answer:

Rene = 18

Sister = 12

Step-by-step explanation:

Let

Rene's age be 6+x

Her sister's age be x

Given that:

6+x+10+x+10 = 50

To calculate their ages, we have to find out the value of x. To find the value of x, rearrange and solve the above equation:

6+x+10+x+10 = 50

26 + 2x = 50

2x = 50-26 = 24

x = 12

We said at the start that Rene's age was 6+x, so her age = 12+6 = 18

Rene's sister's age = x = 12

Hope this helps

Answer:

18 , 12

Step-by-step explanation:

R -Rene age

R-6= age of her sister

after 10 years Rene age=R+10

                        her sister age= R-6+10=R+4

so R+10+R+4=50

      2R+14=50

        -14      -14

       2R=36

       :2      :2

         R=18  ( Rene age)

          18-6=12 ( her sister age)

Answer:-1

Step-by-step explanation:

Answer:

Step-by-step explanation:

x³-4x²+x-4=

=x²(x-4)+(x-4)

=(x-4)(x²+1)

=(x+4)(x-i²)

Answer:(x+1)(x-1)(x-4)

Step-by-step explanation:

Answer:

Slope=  [tex]\frac{-3}{5}[/tex]

Step-by-step explanation:

(-2 , -5)  ; (8,-11)

[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-11-[-5]}{8-[-2]}\\\\=\frac{-11+5}{8+2}\\\\=\frac{-6}{10}\\\\=\frac{-3}{5}[/tex]

Answer:

Step-by-step explanation:

1: 0.75

2: 0.166

3: 0.466

4: 0.66

Sorry if anyone of these are wrong

Answer:

3/4=0.75

1/6=0.16666667

7/15=0.46666667

13/20=0.65

Step-by-step explanation:

You can use the 'division house' to get the answer. The denominator is always out, and the numerator always inside.

Hope this helps ;) ❤❤❤

Answer:

-8/3

Step-by-step explanation:

First find the slope of the line

3x+y = 1

Solve for y

y = -3x+1

This is in slope intercept form

y = mx+b where m is the slope

The slope is -3

The slopes of perpendicular lines multiply to -1

m* -3 = -1

m = 1/3

The line perpendicular has a slope of 1 / (3) = 1/3

The sum is -3 + 1/3

-9/2 + 1/3 = -8/3

Answer:

hope its wht u require....

⇒Answer:

[tex]\frac{9}{20}[/tex]

⇒Step-by-step explanation:

Well 45% is saying it is 45% out of 100,

So we can make the following fraction

45/100

Then we simplify by dividing 45 and 100 by 5

Hence, the answer is [tex]\frac{9}{20}[/tex]

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

it's b! now remember to breathe and relax a little. everything is going to be okay ♡

Answer:

slope is 2   y intercept 7

Step-by-step explanation:

The y intercept is the value when x =0

(0,7) means the y intercept is 7

We can find the slope using

m = (y2-y1)/(x2-x1)

m = ( 11-9)/(2-1)

   = 2/1

  = 2  

Answer:

126°

Step-by-step explanation:

Given that the yellow portion covers 35% of the circle, the degree formed by its edges can be calculated as follows:

The degree of a full circle = 360°

To find the degree formed by the edges of the yellow region, we would calculate 35% of 360°:

[tex] \frac{35}{100}*360 [/tex]

[tex] \frac{35*360}{100} [/tex]

[tex] \frac{12600}{100} [/tex]

[tex] \frac{126}{1} [/tex]

[tex] 126 [/tex]

126° is formed by the edges of the yellow region.

Answer:

The answer is 7 remainder 1

Step-by-step explanation:

5 in 36 places then take the remainder.

Hope it helps.

Answer:

Explanation:

Let R be a relation from A to B.Then the set of first components or the set of elements of A are called domain and the set of second components or the set of elements of B are called the range.

Hope this helps...

Good luck on your assignment..

Answer:

Option A -- 0.46

Step-by-step explanation:

The answer is the x-coordinate of the point of intersection, which is 0.46

The true statement about the equation when it's solved by graphing is A. The curves intersect at approximately x = 0.46.

From the information given, the equation is given as log(6x + 10) = log 1/2x

In this case, we have both sides log function. Therefore, y1 = log(6x + 10) while y2 = log 1/2x.

By using graphing, it can be deduced that one will draw both graph on the same coordinate place.

From the graph, y1 and y2 simply intersect at point (0.46,1.12)

Therefore, the curve intersect at approximately x=0.46.

Learn more about equations on:

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Answer:

B

Step-by-step explanation:

The angle that has tan 5 / 12 is ∠ABC so A is not the answer. The angle that has cos 5 / 13 is ∠BAC so B is the answer.

Answer:

(a) The acceleration of the car is 5 m/s²

(b) The distance covered by the car in that time is 30 m

Step-by-step explanation:

Given;

initial velocity of the car, u = 36 km/h = 10 m/s

final velocity of the car, v = 72 km/h = 20 m/s

time for the motion, t = 2 seconds

(a) .The acceleration of the car;

v = u + at

[tex]a = \frac{v-u}{t} \\\\a = \frac{20-10}{2}\\\\a = 5 \ m/s^2[/tex]

(b) The distance covered by the car in that time

[tex]s = (\frac{v+u}{2} )t\\\\s = (\frac{20+10}{2} )*2\\\\s = 30 \ m[/tex]

Answer:

Result = 9b/25 or 36b/100

Step-by-step explanation:

The number is b

step 1

b is decreased by 40%

value of 40% of b = 40/100 *b = 4b/10

New value after this change = b - 40% decreased value of b = b -4b/10

= (10b-4b)/10 = 6b/10

Step 2 The new value obtained is again decreased by 40%

value of 40%  number found in step 1 =  40% of value found in step 1

value of 40%  number found in step 1 =  40/100 * 6b/10 = 24b/100

This value (24b/100) is subtracted from value found in step 1(6b/10) as given that  value obtained is decreased by 40%

new value found after 40% decrease = 6b/10 - 24b/100

new value found after 40% decrease = 60b/100 - 24b/100= 36b/100

new value found after 40% decrease =  36b/100 = 9b/25

Thus, the result of b is decreased by 40% and decreased again by 40% is 9b/25

*remember to always be nice!

Have an outstanding day

The final Result is 36x/25

Algebra is a branch of mathematics that deals with symbols and the arithmetic operations across these symbols. These symbols do not have any fixed values and are called variables. In our real-life problems, we often see certain values that keep on changing. But there is a constant need to represent these changing values. Here in algebra, these values are often represented with symbols such as x, y, z, p, or q, and these symbols are called variables. Further, these symbols are manipulated through various arithmetic operations of addition, subtraction, multiplication, and division.

An algebraic expression in algebra is formed using integer constants, variables, and basic arithmetic operations of addition(+), subtraction(-), multiplication(×), and division(/). An example of an algebraic expression is 5x + 6. Here 5 and 6 are fixed numbers and x is a variable.

Given:

let the number be x

x is decreased by 40%

40% of x = 40/100 * x = 4x/10

After decreasing

= x- 4x/10

=6x/10

Again decreasing 40%

Then , the value will be

= 6x/10- 0.4*6x/10

=6x/10- 02.4x/10

= 3.6x/10

= 36x / 100

Learn more about algebra here:

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#SPJ5

Answer:

X= 48.125

Step-by-step explanation:

Answer:

lines KL and GH are skew

Step-by-step explanation:

they have no intersections nor are they parallel

Answer:A

Step-by-step explanation: if a•b=0 then either a=0 or b=0 or both

The statement of the zero product rule is if a•b=0 then either a=0 or b=0  or both.

We have given that the statements

if a•b=0 then either a=0 or b=0 or both

if a•b=0 then a=0 or b=0.

if a•b=0 then either a=0 or b=0 but not both

if a•b=0 then a=0.

We have to find the statement of zero divisors,

If R is a ring other than the zero ring, then 0 is a (two-sided) zero divisor, because any nonzero element x satisfies 0a = 0 = a0.

Then the zero product is defined as,

The zero product property states that if a⋅b=0 then either a or b equal zero

Therefore option A is correct.

if a•b=0 then either a=0 or b=0 or both.

To learn more about the zero product visit:

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Answer:

6. E

7. D

8. 5,-8,34

Step-by-step explanation:

A. Parallel to the y-axis and passes through the point (3,5)

For it to be parallel to the y-axis, what this means is that it has an x-intercept and no y intercept.

So what this means is that x = 3 is our line so E is correct

B. Perpendicular to the y-axis means it is parallel to the x-axis

It means is has no x intercept and thus its x value at any point in time is zero

So the equation is y = -5

or simply y + 5 = 0 which means D is correct

C. It is parallel to the line 5x -8y + 12 = 0

Thus: 8y = 5x + 12

dividing both sides by 8

y = 5x/8 + 12/8

y = 5x/8 + 3/2

y = 5x/8 + 1.5

Comparing this with the general equation of a straight line ;

y = mx + c

where m is that slope, this means that 5/8 is the slope of the line

Mathematically if two lines are parallel, they have equal slopes.

So we can say the slope of the other line too is 5/8

Now to find the equation of the other line, we can use the point-slope method

y-y1 = m(x-x1)

where (x1,y1) in this case is (-2,3)

So we have;

y-3 = m(x-(-2))

y-3 = 5/8 (x + 2)

8(y-3) = 5(x + 2)

8y -24 = 5x + 10

5x + 10 + 24 -8y = 0

5x -8y + 34 = 0

So A, B, C = 5, -8, 34

Answer:

The upper bound for the perimeter of the rectangle = 427.76 cm

Step-by-step explanation:

To obtain the upper bound for the perimeter, we need to first obtain the upper bound for the Length and Breadth of the rectangle.

Since, these dimensions were rounded to the nearest 1 decimal place, we can write down their ranges

Length = 127.3 cm

Width = 86.5 cm

Length can range from 127.25 cm to 127.34 cm

Breadth can range from 86.45 cm to 86.54 cm

The upper bound for the Length and Breadth of the rectangle are this 127.34 cm and 86.54 cm respectively.

Perimeter = 2 (L + B)

Upper bound of the perimeter

= 2 × (127.34 + 86.54)

= 2 × 213.88

= 427.76 cm

Hope this Helps!!!

Answer:

Hey there!

A proportional relationship would be a straight line, and this line clearly is not. Thus, this is not a proportional relationship.

Hope this helps :)

Answer:

no

Step-by-step explanation:

Without diving in the calculations you can notice that the line isn't straight so this is not a proprtional relationship

Answer:

31.52% increase (decrease)

Step-by-step explanation:

To find the decrease in the percentage of students from the previous year to the current year, you must establish a baseline to be your maximum (100%).  For this we'll use the 92 students.  From here, we need the current 63 students to establish the current percentage.

Simply:

63/92 == .6848 == 68.48%

So our current percentage of students is 68.48%.  We want the decrease of the students compared to the previous percentage so we'll need to do the maximum minus the current to get the change (or the decrease).

100% - 68.48% = 31.52%

Thus, the population increase (decrease) for this year is 31.52%.

Answer:

68.47

Step-by-step explanation:

63/92

Answer:

B

Step-by-step explanation:

sohcahtoa for right triangles

Answer:

No, because triangle XYZ is not a right triangle

Step-by-step explanation:

Since this is not a right triangle, we cannot use trig functions

The last set should not be the angle of the measurements of triangle ABC i.e. Measure of angle A = 61 degrees, measure of angle B = 57 degrees, measure of angle C = 61 degrees

If we add the three sides of triangle so its total should be 180 degrees

So

= 55 + 65 + 60

= 180

Now

= 60 + 60 + 60

= 180

Now

= 57 + 58 + 65

= 180

And,

= 61 + 57 + 61

= 181

Therefore, The last set should not be the angle of the measurements of triangle ABC i.e. Measure of angle A = 61 degrees, measure of angle B = 57 degrees, measure of angle C = 61 degrees

Learn more about triangle here: https://brainly.com/question/11508323

Answer: its A

Step-by-step explanation:

Answer:

[tex]cos^{-1}(\frac{5}{13} )[/tex]

Step-by-step explanation:

We can see that x is at ∠A.

To find x:

cosx° = 5/13

x = cos^-1(5/13)

sinx° = 12/13

x = sin^-1(12/13)

tanx° = 12/5

x = tan^-1(12/5)

Out of our answer choices, the only one that fits is the inverse cos(5/13).

Answer:

inverse cos 5/13

Step-by-step explanation:

i took the quiz

Answer:

[tex]\frac{(p + 2)m}{p}[/tex]

Step-by-step explanation:

Given

m cups of water = p cups of rice

Required

Cups of water required for p + 2 cups of rice

The question shows a direct proportion between cups of rice and cups of water.

So, the first step is to get the proportionality constant (k)

This is calculated using the following expression;

[tex]m = k * p[/tex]

Where k represents cups of water and p represents cups of rice

Make k the subject of formula

[tex]k = \frac{m}{p}[/tex]

Let x represents cups of water when cups of rice becomes p + 2;

k becomes:

[tex]k = \frac{x}{p + 2}[/tex]

Equate both expressions of k; to give

[tex]\frac{m}{p} = \frac{x}{p + 2}[/tex]

Multiply both sides by p + 2

[tex](p + 2) * \frac{m}{p} =(p + 2) * \frac{x}{p + 2}[/tex]

[tex](p + 2) * \frac{m}{p} =x[/tex]

[tex]x = (p + 2) * \frac{m}{p}[/tex]

[tex]x = \frac{(p + 2)m}{p}[/tex]

Hence, the expression that represents the cups of water needed is [tex]\frac{(p + 2)m}{p}[/tex]

Answer:

1st bacteria : 2nd bacteria

t^2-3t+4  ( 3rd option)

Step-by-step explanation: