In the diagram below, BD is parallel to XY. What is the value of y? 85

Answer:

Karen: 15; Dale: 9; Tom: 60

Step-by-step explanation:

"Karen and Dale and Tom sent a total of 84 messages during the weekend."

k + d + t = 84

"Dale sent six fewer messages than Karen"

d = k - 6

"Tom sent four times as many as Karen."

t = 4k

Substitute k - 6 for d and 4k for t in the first equation.

k + d + t = 84

k + k - 6 + 4k = 84

6k - 6 = 84

6k = 90

k = 15

d = k - 6 = 16 - 6 = 9

t = 4k = 4(15) = 60

Answer: Karen: 15; Dale: 9; Tom: 60

Answer:

7.19%

Step-by-step explanation:

let i be the effective rate

[tex](1+\frac{.07}{4})^4=(1+i)\\.071859031[/tex]

The annual effective yield will be 7.19% for the investment.

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

Given that Candace invests $636 in an investment that pays 7% interest compounded quarterly.

The annual effective yield will be calculated as below:-

[ ( 1 + ( 0.07 / 4 )⁴ ] = ( 1 + i)

Solve the equation:-

i = 0.0718

i = 0.0718 x 100 = 7.19%

Therefore, the annual effective yield will be 7.19% for the investment.

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Answer:

hlw its jess your ans is here ↑ ↓

:- 150 rotation and the other 30 rotation about the same point is equivalent to 150+30 = 180

rotation about that point

Answer:

Solution given:

Annie needs 250 lb of cement to fix the outer step.

Each bag hold 40 lb of cement.

Now

40 lb =1bag

we need

250lb= ? bag.

we have

no of bag =needed lb/1 bag's lb=250/40=250/40=6.25

we do not need more than 7 bags

Annie needs 7 bags.

So

The required inequality is:

b≥7.

Answer:

$639

Step-by-step explanation:

$450 * .14 = 63

63 * 3 = 189

450 + 189 = 639

Answer:

False, the slope is POSITIVE 3.

[tex]x = \frac{ac + b}{2c - ab} [/tex]

Refer to the attachment for step by step explaination.

Answer:

[tex]x=\frac{b+ax}{2c-ba}[/tex]

Step-by-step explanation:

When given the following expression, one is asked to solve for (x):

[tex]\frac{2x-a}{b}=\frac{ax+1}{c}[/tex]

Use cross products to rid the variable in the denominator,

[tex]c(2x-a)=b(ax+1)[/tex]

Simplify, distribute, multiply every term in the parenthesis by the term outside of it,

[tex]2xc-ac=bax+b[/tex]

Inverse operations, collect all terms with variable (x) on one side of the equation:

[tex]2xc-ac = bax + b\\\\2xc - bax = b + ac[/tex]

Factor, remove a like term that exists in both of these expressions,

[tex]x(2c-ba)=b+ax[/tex]

Inverse operations,

[tex]x=\frac{b+ax}{2c-ba}[/tex]

Answer:

C

Step-by-step explanation:

The radius is 7, but in the standard form for a circle, the radius is squared which means that the answer is NOT A and B.

So now you have only two choices, C and D both of which have the radius shown as 49 which is 7 squared.

The center is at (5,-1)

that means that x will be written as (x - 5)

And y will be written as (y + 1)

Note: the signs of the center always change to the opposite of what they were.

The answer is (x - 5)^2 + (y  + 1)^2 = 49

Answer:

Simulateneous equation

Step-by-step explanation:

Have to slove the equation given then plot the graph

Answer:

Graph a line segment with endpoints (1,-8) and (-4,3).

Step-by-step explanation:

Just identity the endpoints of the line segment given, then swap the coordinates for each pair to graph it's inverse.

Original point -> Corresponding inverse point

(a,b) ->(b,a)

(-8,1) ->(1,-8)

(3,-4) ->(-4,3)

So graph the other inverse which is also a line segment using endpoints (1,-8) and (-4,3).

(The inverse graph is just a reflection of the original relation over y=x.)

Answer:

APR INTEREST

THANKS ME LATUR

Step-by-step explanation:

100%-3%=97%

$1500*97%=$1455

Answer:

j/3

Step-by-step explanation:

quotient is division

j/3

Answer:

$30

Step-by-step explanation:

T = 750

B = 60(12)

T - B = X

750 - 720 = 30

Answer:

Tom saves 30 more dollars

Step-by-step explanation:

There’s 12 months in a year so

60 x 12 = 720

Tom has 750 so take away 720 that bill makes a year = 30

Answer:

B)10

Step-by-step explanation:

Because this is a right angle(indicated by the red box) the total measure should be 90°.

And based on that we say 5X +40=90

Subtract 40 from both sides to get 5x=50

And then divide both sides by 5 to get x=10

Answer:

x = 10°

Step-by-step explanation:

5x° + 40° = 90°

5x° = 90°-40°

5x°=50°

x°= 50°/5

x = 10°

Answer:

linearly because the  table shows that the daisies increased by the same amount each month

Step-by-step explanation:

Answer:

Linearly, because the table shows that the daisies increased by the same amount each month

Step-by-step explanation:

Take the second term and subtract the first term for the output

13.1 -10 = 3.1

Do the same for the third and the second

16.2 -13.1 = 3.1

And the fourth and third

193. -16.2 = 3.1

This is a linear increase since we add the same amount each time

Answer:

It will take 25.6 years for the mass of the sample to reach 400 grams.

Step-by-step explanation:

Element X is a radioactive isotope such that every 25 years, its mass decreases by half.

This means that the amount of the substance after t years can be modeled by a function in the following format:

[tex]A(t) = A(0)(0.5)^{\frac{t}{25}}[/tex]

In which A(0) is the initial amount.

Initial mass of a sample of Element X is 910 grams.

This means that [tex]A(0) = 910[/tex]

So

[tex]A(t) = A(0)(0.5)^{\frac{t}{25}}[/tex]

[tex]A(t) = 910(0.5)^{\frac{t}{25}}[/tex]

How long would it be until the mass of the sample reached 400 grams?

This is t for which [tex]A(t) = 400[/tex]

So

[tex]A(t) = 910(0.5)^{\frac{t}{25}}[/tex]

[tex]400 = 910(0.5)^{\frac{t}{25}}[/tex]

[tex](0.5)^{\frac{t}{25}} = \frac{400}{910}[/tex]

[tex](0.5)^{\frac{t}{25}} = 0.43956[/tex]

[tex]\log{(0.5)^{\frac{t}{25}}} = \log{0.43956}[/tex]

[tex]\frac{t}{25}\log{0.5} = \log{0.43956}[/tex]

[tex]t = \frac{25\log{0.43956}}{\log{0.5}}[/tex]

[tex]t = 25.6[/tex]

It will take 25.6 years for the mass of the sample to reach 400 grams.

Answer:

29.6

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The center of dilation is point S, so S' is at the same location. The other points move to 5/3 of their distance from S.

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

Explanation:

We have n = 5 sides. This means the interior angles sum up to...

S = 180(n-2)

S = 180(5-2)

S = 180(3)

S = 540

All five interior angles of this pentagon add up to 540 degrees.

Answer:

yea i dont know this one bro

Step-by-step explanation:

Check the picture below.

so we know the radius of the semicircle is 2 and the rectangle below it is really a 4x4 square, so let's just get their separate areas and add them up.

[tex]\stackrel{\textit{area of the semicircle}}{\cfrac{1}{2}\pi r^2}\implies \cfrac{1}{2}(\stackrel{\pi }{3.14})(2)^2\implies 3.14\cdot 2\implies 6.28 \\\\\\ \stackrel{\textit{area of the square}}{(4)(4)}\implies 16 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{sum of both areas}}{16+6.28=22.28}~\hfill[/tex]

Answer:

D-780 squared inches

Step-by-step explanation:

you multiply 2(l)(w)+2(l)(h)+2(w)(h)

Answer:

Last option 780.

Step-by-step explanation:

To get the surface area for this you will need to get the area of each square that you see is in the net version. Once you do that you add them all together. Here is the math. . .

(4*25)+(4*10)+(4*25)+(10*25)+(10*25)+(4*10) = 780 total surface area.

If this looks confusing just look at the net version of the rectangular prism and you can see there is a duplicate of the different dimension triangles. These areas would be (4*25), (4*10), (10*25). There are a total of 3 different size triangles and all of them have duplicates. So we just multiply everything by 2

(4*25)+ (4*10)+(10*25) = 390 now multiply that by 2 and you get 780 again.

Hope the explanation helps :)

Answer:

V = 29.31 cm^3

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h

V = 1/3 (3.14) (2)^2 (7)

V =29.30666

Rounding to the nearest hundredth

V = 29.31 cm^3

Answer:

26.6 meters

Step-by-step explanation:

Tan(x) = [tex]\frac{opp}{adj}[/tex]

Tan(28)  = [tex]\frac{x}{50}[/tex]

x = 26.6m

Step-by-step explanation:

the answer is in the image above

Answer:

OMGGGG OMGGG I NEEDTHIS QUESTION TOOOOOO

Answer:

26

Step-by-step explanation:

Let x represent the missing number

[tex] 8\frac{11}{15} = 7\frac{x}{15} [/tex]

Convert both fractions to improper fractions

[tex] \frac{131}{15} = \frac{105 + x}{15} [/tex]

Cross multiply

[tex] 15(105 + x) = 15(131) [/tex]

[tex] 1,575 + 15x = 1,965 [/tex]

Subtract both sides by 1,575

[tex] 15x = 1,965 - 1,575 [/tex]

[tex] 15x = 390 [/tex]

Divide both sides by 15

[tex] x = \frac{390}{15} [/tex]

x = 26

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

Explanation:

The set {1, 2}U{2, 6, 7, 9}U{5, 6, 7} simplifies to {1,2,5,6,7,9} after we combine everything and sort the values. We toss any duplicates.

Let B = {1,2,5,6,7,9}

There are 6 items in set B out of 10 items in set A.

The probability of landing in set B, if you pick something randomly from A, is 6/10 = 3/5

Answer:

3/5

Step-by-step explanation: