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
Find the coeficcient of the x4y3 term in the expansion of (2x+y)7
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 x⁴y³ terms with k = 3, for which the coefficient would be
[tex]\dbinom73 2^{7-3}=\dfrac{7!}{3! 4!} 2^4=\boxed{560}[/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
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°
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?
HELP ASAP!!!
Is ___ greater than, less than or equal to 5? Explain.
Look at picture to understand
Please help. This question is on geometric sequences
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.
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?
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
Fifteen is no more than a number t divided by 5.
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
4 x + 6 < − 6...............................................................
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
Transformation of functions
The following scores were obtained by 11 footballers in a goal-competition 536878311632. The median score was?
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
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?
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.
can someone help me with this
Step-by-step explanation:
bro its B.52° its pretty simple
a rectangular ground is 40m long 35m board 2m path is constructed inside it find its area
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.
Please helppppppp i need it so I don’t get detention tomorrow .
Answer:
a) = 27
b) = 5
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
Answer:
Part B: r = 180/t
Step-by-step explanation:
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
Answer:I’m not sure but I think the answer is 19
Step-by-step explanation:
5(x-6) = 2x - 18 + 2x
Answer: x = 4/3
Step-by-step explanation:
Which multiplication expression is equivalent to 5/8 divided by 1/6 ?
Answer:
5/8 * 6/1
Step by Step Explanation:
Answer:0.625x0.16
Step-by-step explanation:
⅓ -(-⅔)=
answer Needed Pls Help
Answer:
1Step-by-step explanation:
⅓ - (-⅔)
= 1/3 + 2/3
= 3/3
= 1
X^2 +6x+30 in vertex form
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
Solve for x.
y=7x−7z−9
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]
what is the slope of 3,2 -1,2
Answer: m = 0
..........................
Need help please!!!!!
I need an answer fast
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
what is the slope and y intercept of y= -3x + 2
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.
1.3 as a fraction answer please quick
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
please help. if right i will give brainliest
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°
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?
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
If takes 5 farmers 10 days to plant a garden. How many days will it take 10 farmers?
Answer:
2
Step-by-step explanation:
2days