Meg visited her Aunt Clare for lunch. After they ate, Aunt Clare made tea. She put the same amount of black tea and milk in both their cups, but Meg decided to add some extra milk to hers. Which cup of tea was darker after they had finished adding milk?

The 34th term of the sequence 158, 155, 152 ...... is 59

The sequence is as follows:

158, 155, 152 ......

let

a = first term = 158

d = common difference = 155 - 158 = -3

Using Arithmetic progression formula, let's find the 34th term as follows:

aₙ = a + (n - 1)d

a₃₄ = 158 + (34 - 1)-3

a₃₄ = 158 + (33)(-3)

a₃₄ = 158 - 99

a₃₄ = 59

Therefore, the 34th term of the sequence is 59.

learn more about sequence here: https://brainly.com/question/23251262?referrer=searchResults

Answer:

Can't factorize with rational numbers

Step-by-step explanation:

The best you could do is [tex](\sqrt{7}+x)(\sqrt{7}-x)[/tex] but [tex]\sqrt{7}[/tex] is irrational.

Answer:

Step-by-step explanation:

7-x²

If we treat this as the difference of 2 squares we get

(√7 - x)(√7 + x)

Answer:

30 feet

Step-by-step explanation:

The height of the tree is 24 feet casting a shadow of 40 feet long.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Assuming the height of the tree to be x feet.

15 : 25 : : x : 40.

15/25 = x/40.

25x = 600.

x = 24

learn more about proportion here :

https://brainly.com/question/7096655

Answer:

i think 2

Step-by-step explanation:

65km ÷ x = 6 1/2km×5

65÷x = 6 1/2×5

65÷x = 13/2 ×5

65÷x = 65÷2

x = 2

so 2 is answer

answer

2

let the unknown number be x

65/x=6+1/2*5

65/x=13/2*5

65/x=65/2

65/x=32.5

x*32.5=65

x*32.5/32.5=65/32.5

x=2

Answer:

A

Step-by-step explanation:

Answer:

1-12-x-+1

Step-by-step explanation:

so you divided 2 by 4 then 1 after that 12 and boom

The equivalent expression for 4(5−3x) is ( 20 - 12x).

This states that multiplying the sum of two or more addends by a number produces the same result as multiplying each addend separately by the number and then adding the products together.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the expression is 4(5−3x). The expression by distribution property will be solved as,

E =  4(5−3x)

Multiply by 4 in the whole equation,

E = (  4 x 5 - 4 x 3x )

E = 20 - 12x

To know more about distribution property follow

https://brainly.com/question/28490348

#SPJ2

Answer:

A)  y=x+2

Step-by-step explanation:

We can see that each time x increase by 2, y also increases by 2.  The slope of the line formed by this equation is therefore 1.  But we start out with y = 2, even when x=0.  That's the definition of the y-intercept:  the value of y when x is equal to zero.

The slope-intercept form of a straight line equation is y = mx + b, where m is the slope (1, in this case) and b is the y-intercept (0 in this case).

We have y = 1x + 2, or y = x + 2

Answer:

the coordinate of the vertex is going to be (-3,-1) and it's concave up

Step-by-step explanation:

1.notice this function is in graphing form (x-h)^2+k, where (h,k) is your coordinate of the vertex, hence in this problem it's going to be (-3,-1)

2. notice that this function have a parent function of x^2, where it's a parabola that is concave up which in this case is basiclly the same shape it's also concave up

In calculus, we can proof it by finding the first derivatives and find the critical points, then take the second derivative at that critical points to see if that's negative or positive in this case it's positive

Answer:

see explanation

Step-by-step explanation:

The triangle segment is a median

A median goes from the vertex to the midpoint of the opposite side.

On each median the distance from the vertex to the centroid is twice the distance from the centroid to the midpoint.

AC = 2 × FC = 2 × 35 = 70

BG = [tex]\frac{2}{3}[/tex] × BF = [tex]\frac{2}{3}[/tex] × 57 = 2 × 19 = 38

GC = 2 × DG = 2 × 14 = 28

AE = AG + GE = 42 + 21 = 63

Answer:

You should write a math example

6(4a-3b)

if you draw a factor tree that goes like:

    24

1         24

2        12

...       ...  (and so on, you'll find 6 is the highest)

Answer:

It's a direct variation condition,

hence ratio remains constant.

39 - 3

x - 4

x = 4×39/3 = 4×13 = 52 .. (for first blank space)

39 - 3

x - 10

x = 39×10/3 = 13×10 = 130 .. (for second blank space)

Answer:

39 ____ 3

52 ____ 4

130 ____ 10

To get the smaller numbers to a bigger one you'll times them by 13.

Divide 39 by 3 and you'll get 13 then time 4 by 13 to get the missing box answer do the same for number 10.

Answer:

A Rhombus

Step-by-step explanation:

it's a quadrilateral, but its sides aren't congruent

Answer:

224 printers

Step-by-step explanation:

56computers×4printers per computer=224 printers

Let's solve your inequality step-by-step.

[tex]11+\frac{a}{2}\le 16[/tex]

Step 1: Simplify both sides of the inequality.

[tex]\frac{1}{2}a+11 \le 16[/tex]

Step 2: Subtract 11 from both sides.

[tex]\frac{1}{2}a+11-11\le 16-11[/tex]

[tex]\frac{1}{2}a\le 5[/tex]

Step 3: Multiply both sides by 2.

[tex]2\cdot \left(\frac{1}{2}a\right)\le (2)*(5)[/tex]

[tex]a\le 10[/tex]

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve for x ~

Hence, value of x is -3

Answer:

i think x = -11

Step-by-step explanation:

x = -11

y = -17/2

Answer:

x = -11

Step-by-step explanation:

The alteration has an effect on (K) I, II and III

The function is given as:

[tex]h = -at^2 + bt + c[/tex]

When the constant term (c) is altered, i.e. changed, the function becomes a different function entirely.

Take for instance, the new function is:

[tex]h = -at^2 + bt + c+ 1[/tex]

The functions [tex]h = -at^2 + bt + c[/tex] and [tex]h = -at^2 + bt + c+ 1[/tex] are different, and both functions will have different intercepts and vertices.

Hence, the alteration has an effect on (K) I, II and III

Read more about quadratic functions at:

https://brainly.com/question/11631534

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

Explanation:

The notation N(950,50) tells us that we have a normal distribution with the following parameters:

Use the z score z = 2.5 to convert to its raw score x

z = (x-mu)/sigma

2.5 = (x-950)/50

2.5*50 = x-950

125 = x-950

x-950 = 125

x = 125+950

x = 1075

Frank's z score of z = 2.5 corresponds to the actual score of x = 1075. This is 1075-675 = 400 points higher than the score Chris got.

Answer:

300

Step-by-step explanation:

2+3+1=6

1800=6 parts

1 part=1800/6=300

The smallest share among the three brothers is 300 birrs.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, we divide 1800 birrs to three brothers in the ratio 2:3:1,

Let the amount they hold be 2x, 3x and x

Therefore, 2x+3x+x = 1800

6x = 1800

x = 300

Hence, The smallest share among the three brothers is 300 birrs.

For more references on ratios, click;

https://brainly.com/question/13419413

#SPJ2

Answer:

that is the true answer trust

Step-by-step explanation:

like my answer and make it brainlieast

X = 23

Y = 129

Hope this is helpful!

Answer:

i think x = 23, y = 129

Step-by-step explanation:

5x+14+3x-18 = 180

8x-4 = 180

8x = 184

x = 23

3x-18+y = 180

3(23)-18+y = 180

69-18+y = 180

51+y = 180

y = 129

We know the equation.

We also know the y-intercept, which is -3.

All we need to find is the slope. Once the slope is found, our equation is set.

Since the slope has been found, the equation is y = -x/2 - 3.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

Answer:

x+6>76

Step-by-step explanation:

sum is adding

greater than is >

Answer:

The posted photo says the slope is -(3/4).  I'll use that, instead of -2 as written in the question.

Step-by-step explanation:

The slope-intercept form of a straight line equation is y = mx+b, where m is the slope and b the y-intercept (the value of y when x=0).

With a slope of -(3/4), we can write:  y = -(3/4)x + b.

To find b, use the given point (4,-6):

y = -(3/4)x + b

-6 = -(3/4)(4) + b   for (4,-6)

-6 =  -3 + b

b = -3

The line is y = -(3/4)x - 3

The first option.

The equation that represents the line that is perpendicular is

3y + 5x = -42

The standard equation of a line in point-slope form is expressed as:

[tex]y-y_1=m(x-x_1)[/tex]

Substitute the point (-12, 6) and the slope m = -5/3 into the equation above to have:

[tex]y-6=-5/3(x-(-12))\\3(y-6)=-5(x+12)\\3y-18=-5x-60\\3y = -5x - 60 + 18\\3y + 5x = -42\\[/tex]

Hence the equation that represents the line that is perpendicular is

3y + 5x = -42

Learn more on equation of a line here:https://brainly.com/question/19417700

Answer:

A

Step-by-step explanation:

can't tell you