At her birthday​ party, Ms. Willow would not give her age directly. She​ said, 'If you add the year of my birth to this​ year, subtract the year of my 25th birthday and the year of my 55th ​birthday, and then add my present​ age, the result is 58​.

Answers

Answer 1

Answer:

69 years

Step-by-step explanation:

Given that:

Let year of birth = x

This year = 2020

Year of 25th birthday = x + 25

Year of 55th birthday = x + 55

Present age = 2020 - x

Hence,

x + 2020 - (x + 25 + x + 55) + (2020 - x) = 58

x + 2020 - (2x + 80) + (2020 - x) = 58

x + 2020 - 2x - 80 + 2020 - x = 58

-2x + 4040 - 80 = 58

-2x + 3960 = 58

-2x = 58 - 3960

-2x = - 3902

x = 1951

Birth year = 1951

,

Hence, age =

2020 - 1951 = 69 years


Related Questions

5(x-6) = 2x - 18 + 2x

Answers

Answer: x = 4/3

Step-by-step explanation:

NEED ANSWER ASAP
10 points
You owe $25 on your credit card. You make a $5 payment and then
purchase $8 worth of clothes at Dillards. What is the integer that
represents the balance owed on the credit card?

Answers

Answer:

$12

Step-by-step explanation:

$25 on credit card - $5 payment - $8 clothes = what's left on the card

25 - 5 = 20

20 - 8 = 12

there's $12 dollars left on that credit of yours

Please helppppppp i need it so I don’t get detention tomorrow .

Answers

Answer:

a) = 27

b) = 5

Find the coeficcient of the x4y3 term in the expansion of (2x+y)7

Answers

By the binomial theorem,

[tex]\displaystyle (2x+y)^7 = \sum_{k=0}^7 \binom7k (2x)^{7-k} y^k=\sum_{k=0}^7 \binom7k 2^{7-k} x^{7-k} y^k[/tex]

where

[tex]\dbinom nk=\dfrac{n!}{k!(n-k)!}[/tex]

is the binomial coefficient.

We get the xy³ terms with k = 3, for which the coefficient would be

[tex]\dbinom73 2^{7-3}=\dfrac{7!}{3! 4!} 2^4=\boxed{560}[/tex]

Santa Claus has been experiencing some recent back pain and is unable to carry large bags of toys over his shoulders. As a result, he has decided to use FedEx to deliver many of his gifts this year. FedEx charges a flat rate of $2.50 plus $0.85 per pound. If the cost of sending gifts to the Jones's was $28.85, how much did their gifts weigh?

Answers

Answer:

31 pounds

Step-by-step explanation:

From the information given, you can write the following formula to calculate the total cost of sending gifts:

Total cost of sending gifts=2.50+0.85x, where x is the weight of the gifts in pounds

Also, you know that the total cost of sending gifts is $28.85 and you can replace this value and solve for x:

28.85=2.50+0.85x

28.85-2.50=0.85x

26.35=0.85x

x=26.35/0.85

x=31

According to this, the answer is that the gifts weighed 31 pounds.

what is the slope and y intercept of y= -3x + 2

Answers

Answer:

The slope: -3

Y-intercept: 2

Step-by-step explanation:

Answer: The slope is -3   and the y intercept is 2.

Step-by-step explanation:

The slope is the  number acting as the coefficient, which is being multiplied by the variable x and the y intercept is  the constant value which never changes.

I need an answer fast

Answers

Answer:

y=5x/6-10/6

y=5x/6-5/3 ( simplified)

Step-by-step explanation:

5x-6y=10

slope intercept form :

-6y=-5x+10

y=-5x/-6 +10/-6

y=5x/6-10/6

y=5x/6-5/3

If takes 5 farmers 10 days to plant a garden. How many days will it take 10 farmers?

Answers

Answer:

2

Step-by-step explanation:

2days

The answer is 5 days because you are using twice the number of farmers so it should take half the time to plant the garden

can someone help me with this

Answers

The answer is B. 52°

Step-by-step explanation:

bro its B.52° its pretty simple

A fair coin has 2 sides (heads and tails) that are equally likely to show when the coin is flipped.

What is the theoretical probability that a fair coin lands on heads?

Answers

Answer:

50%

Step-by-step explanation:

if there are two sides and are equally likey to land on the same side 100%/2 = 50% boom have a good friday

Please help. This question is on geometric sequences

Answers

Answer:

13.89 to 2 dec places.

Step-by-step explanation:

a7 / a5 = r^2   where r is the common ratio.

So 3/5 = r^2

r^2 = 0.6

r = +√0.6

r = 0.7746.

The first term is a5 / r^4

= 5 / (0.7746)^4

= 13.89.

The following scores were obtained by 11 footballers in a goal-competition 536878311632. The median score was?

Answers

Answer:

3

Step-by-step:

1,1,2.2.3.3.3.5.6.6.7.8.8

more 3s than other numbers

median is 3

what is the slope of 3,2 -1,2​

Answers

Answer: m = 0

..........................

⅓ -(-⅔)=
answer Needed Pls Help

Answers

Answer:

1

Step-by-step explanation:

⅓ - (-⅔)

= 1/3 + 2/3

= 3/3

= 1

4 x + 6 < − 6...............................................................

Answers

Answer:

x < - 3

Step-by-step explanation:

Given

4x + 6 < - 6 ( subtract 6 from both sides )

4x < - 12 ( divide both sides by 4 )

x < - 3

Need help please!!!!!​

Answers

Usually when the line is going down the slope will be represented as a negative number. Remember rise/run. The slope of this line would be -2/2. If it needs to be simplified it would be -1. If answer choices are all positive best bet would be 1! Hope this helps!

please help. if right i will give brainliest

Answers

Answer:

m∠7 is equal to 112

Step-by-step explanation:

m∠7 is equal to 112 because m∠2 and m∠7 literally are the same angle

trust me

High Hopes^^

Barry-

Answer:

∠ 7 = 112°

Step-by-step explanation:

∠ 2 and ∠ 6 are corresponding angles and congruent, that is

∠ 6 = 112°

∠ 7 and ∠ 6 are vertical angles and congruent, thus

∠ 7 = 112°

Sean has two single accounts at Corona Bank. One account has a balance of $174,898.09 and the
other has a balance of $277,999.99. What is the sum of Sean's balances?

Answers

$452898.08 is the answer

Transformation of functions

Answers

the answer is C
f(x-4)
the answer will be c y=f(x-4)

Line n intersects lines 1 and m, forming the angles shown in the
diagram below.
n
l
(6x + 42)
(18x – 12)
m
Which value of x would prove L || m?
A 2.5
B 4.5
C 6.25
D 8.75

Answers

Huh like omg how can y’all understand that like my math teacher don’t teach us that we got easy stuff like we don’t have hard stuff like that is just 2 much

Fifteen is no more than a number t​ divided by 5.

Answers

This was a wrong answer, Sorry.

Answer:

75

Step-by-step explanation:

if 15 is no more than a number t divided by 5 then you multiply 15 by 5 giving you the answer for t.

15=t/5

15*5=t

t=75

PART A:
A car traveled 180 miles at a constant rate.
complete the table to show the rate at which the car was traveling if it was completed the same distance in each number of hours

travel time | rate of travel
5
4.5
3
2.25

PART B:
In the scenario in part a write an equation that would make it easy to find the rate at which the car was traveling in miles per hour r, if it traveled t hours

Answers

Answer:

Part B: r = 180/t

Step-by-step explanation:

Solve for x.

y=7x−7z−9

Answers

Answer:

[tex]x=\frac{y+7z+9}{7}[/tex]

Step-by-step explanation:

[tex]7x-7z-9=y[/tex]

[tex]7x-7z-9+7z=y+7z[/tex]

[tex]7x-9=y+7z[/tex]

[tex]7x-9+9=y+7z+9[/tex]

[tex]7x=y+7z+9[/tex]

[tex]\frac{7x}{7}=\frac{y}{7}+\frac{7z}{7}+\frac{9}{7}[/tex]

[tex]x=\frac{y+7z+9}{7}[/tex]

In triangle ABC, the measure of angle B is 50 degrees. Select all possible values for the measures of A and C if ABC is an acute triangle. m\angle∠A= 58 degrees; m\angle∠C= 72 degrees m\angle∠A= 100 degrees; m\angle∠C= 30 degrees m\angle∠A= 80 degrees; m\angle∠C= 50 degrees m\angle∠A= 60 degrees; m\angle∠C= 70 degrees m\angle∠A= 90 degrees; m\angle∠C= 40 degrees m\angle∠A= 105 degrees; m\angle∠C= 25 degrees

Answers

Answer:

Step-by-step explanation:

Sum of angle in a triangle = 180°

<A+<B+<C = 180

Given <B = 50°

Substituting into the formula

<A+50+<C = 180

<A+<C = 180-50

<A+<C = 130°

Since the ∆ABC is an acute triangle, the angles <A and <C must be angles less than 90° since acute angles are angles less than 90°

The possible values of <A and <C that will be acute and give a sum of 130° are;

∠A= 58° and ∠C= 72°

∠A= 80° and ∠C= 50°

∠A= 60° and ∠C= 70°

You can see that all the Angles are less than 90° and their sum is 130°

ava's turtle is half as old as her parrot. in 10 years her turtle will be ¾ as old as her parrot. write an equation to represent this situation. how old is ava's turtle​

Answers

Answer:I’m not sure but I think the answer is 19

Step-by-step explanation:

1.3 as a fraction answer please quick

Answers

1 3/10 is 1.3 as a fraction.
1.3 as a fraction is 13/10

a rectangular ground is 40m long 35m board 2m path is constructed inside it find its area​

Answers

Answer:

2800

Step-by-step explanation:

solution:

here,

length=40 meter

Breadth=35 meter

height=2meter

area=?

we have,

A=l×b×h

=40×35×2

=2800 ans.

HELP ASAP!!!
Is ___ greater than, less than or equal to 5? Explain.
Look at picture to understand

Answers

Less than ................

X^2 +6x+30 in vertex form

Answers

Answer:

Step-by-step explanation:

Factoring  x2-6x-30

The first term is,  x2  its coefficient is  1 .

The middle term is,  -6x  its coefficient is  -6 .

The last term, "the constant", is  -30

Step-1 : Multiply the coefficient of the first term by the constant   1 • -30 = -30

Step-2 : Find two factors of  -30  whose sum equals the coefficient of the middle term, which is   -6 .

     -30    +    1    =    -29

     -15    +    2    =    -13

     -10    +    3    =    -7

     -6    +    5    =    -1

     -5    +    6    =    1

     -3    +    10    =    7

     -2    +    15    =    13

     -1    +    30    =    29

The correct answer is 29 vertex

Which multiplication expression is equivalent to 5/8 divided by 1/6 ​?

Answers

Answer:

5/8 * 6/1

Step by Step Explanation:

Answer:0.625x0.16

Step-by-step explanation:

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