Answer:
The man traveled 20km by train.
Step-by-step explanation:
If x is the distance he traveled by train, you can write this equation to represent the situation:
[tex]10+x+2x=70[/tex]
Then, you can simply solve for x:
[tex]10+3x=70\\3x=60\\x=20[/tex]
The man traveled 20km by train.
[tex]10+(20)+2(20)=70\\10+20+40=70\\70=70[/tex]
Find m
∠
U
W
V
∠UWV.
Solve x2 + 8x – 3 = 0 using the completing-the-square method.
A.x = 4+ 13
B.X= 4+13
C.x= 4+19
D.X=4 + √19
[tex]x = -4 \pm \sqrt{19}[/tex]
Step-by-step explanation:
Let us put 3 on the right side and rewrite the equation as
[tex]x^2 + 8x = 3[/tex]
By putting 16 on both sides, our equation becomes
[tex]x^2 + 8x + 16 = 3 + 16 = 19[/tex]
[tex]\Rightarrow (x + 4)^2 = 19[/tex]
Taking the square root of the equation, we get
[tex]x + 4 = \pm \sqrt{19}[/tex]
Finally, solving for x,
[tex]x = -4 \pm \sqrt{19}[/tex]
what is 4 divided by 8
Answer:
0.4 or 2
Step-by-step explanati
that easy
the length of a door is 1.8 feet longer than it's width, and it's front area is 1504.6 square feet. find the width and height of the door
Answer:
width: 37.9 ft
height: 39.7 ft
Step-by-step explanation:
Sometimes it is easier to work these problems by finding the average of the length and width. If that value is x, then the length is x+0.9, and the width is x-0.9. The area is ...
A = LW
1504.6 = (x +0.9)(x -0.9) = x^2 -0.81
1505.41 = x^2
x = √1505.41 ≈ 38.7996
width = x -0.9 = 38.8 -0.9 = 37.9
height = 38.8 +0.9 = 39.7
The width of the door is approximately 37.9 ft; the height is about 39.7 ft.
here are vaccinations for all of the following except __________
Question 10 options:
hepatitis C.
chicken pox.
tuberculosis.
mumps.
Answer:
Hepatitis C.
Step-by-step explanation:
solve 4x-13=7x14 justify each step
Answer:
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*x-13-(7*x^14)=0
Equation at the end of step 1
(4x - 13) - 7x14 =
Pulling out like terms
3.1 Pull out like factors :
-7x14 + 4x - 13 = -1 • (7x14 - 4x + 13)
Equation at the end of step
-7x14 + 4x - 13 = 0
Equations of order 5 or higher:
4.1 Solve -7x14+4x-13 = 0
pls help anyone know dis
Answer:
1st one:5≥x>-infinity
2nd one :5<x<+infinity
3rd one :5>x>- infinity
20 giraffes were introduced to a certain safari and it is expected to double its population every 5 years. How many giraffes will exist after 2 years? How long it would take to increase their population to 60?
It would take 7.9 years to increase their population to 60.
An exponential function is in the form:
y = abˣ
where a is the initial value of y and b is the multiplier.
Let y represent the number of giraffes after x years.
From the question:
a = 20, b = 2, hence
[tex]y=20(2)^\frac{x}{5} \\\\for\ x=2:\\\\y=20(2)^\frac{2}{5} =26\\\\For\ y=60:\\\\60=20(2)^\frac{x}{5} \\\\2^\frac{x}{5} =3\\\\x=7.9\ years[/tex]
It would take 7.9 years to increase their population to 60.
Find out more on exponential function at: https://brainly.com/question/2456547
Millie has a bank account balance of $1200. Each week, her balance changes by
-$72.50.
She wants to keep the balance
above $620.
How many weeks will Millie's balance remain above $620?
Select from the drop-down menu to correctly complete the statement.
Answer:
at least 8
Step-by-step explanation:
Answer:
At least 8
Step-by-step explanation:
I took the test
snowboard is advertised to be 60% of the original price. If the sale price is $180, use a double number line determine the original price.
Step-by-step explanation:
60% of original price X = $180
60/100 × X = $180
60X/100= $180( cross multiply)
60X= 18000
X= 18000÷60
X= $300
Nicole got a prepaid debit card with $25 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the
ribbon was 22 cents per yard. If after that purchase there was $17.52 left on the card, how many yards of ribbon did Nicole buy?
Answer:
34 yards of ribbon
Step-by-step explanation:
If you will subtract the $17.52 to $25 you will get 7.48 then 7.48 divide to .22 you will get 34 as the answer
Pizza chefs buy 5 5/8 kg of flour. They use 3/5 of the flour to make 9 equal mini pizzas. How much flour did they use for each mini pizza? Express your answer as a fraction in its lowest form.
Answer:
Flour used to make 9 pizzas = 5[tex]\frac{5}{8}[/tex] × [tex]\frac{3}{5}[/tex]
= 3[tex]\frac{3}{8}[/tex]
Flour used for each pizza = 3[tex]\frac{3}{8}[/tex] ÷ 9
= 3[tex]\frac{3}{8}[/tex] × [tex]\frac{1}{9}[/tex] (reciprocal of 9)
= [tex]\frac{3}{8}[/tex]
The amount of flour used for each mini pizza is [tex]\frac{3}{8}[/tex] kg.
help I suck at math..
Answer:
The correct answers are:
B
D and
F
Step-by-step explanation:
Hope it can help you lovelots
#LEARN WITH BRAINLY
Given the formula A= P(1+r/n)nt you are investing $2,150 in savings account with an
interest rate of 3.315% compounded monthly. How much will you investment be worth after 15 years?
Answer:
3532.59341
Step-by-step explanation:
P= 2150
r= 3.315%
n= 12
t= 15
Jade recorded how many characters she used in each of her 9 most recent text messages. Here's a
histogram showing her data:
# of messages
2
0
0
20
40
60
80
100 120
# of characters
Which interval contains the median number of characters?
The median of a histogram is the middle element of the histogram.
The interval contains the median number of characters is 20 - 30
The number of characters is given as:
[tex]n = 9[/tex]
The median position is then calculated as:
[tex]Median = \frac{n + 1}{2}th[/tex]
So, we have:
[tex]Median = \frac{9 + 1}{2}th[/tex]
Add 9 and 1
[tex]Median = \frac{10}{2}th[/tex]
Divide 10 by 2
[tex]Median = 5th[/tex]
So, the median is the 5th position.
From the histogram (see attachment), the 5th element is in the interval 20 to 30.
Hence, the interval contains the median number of characters is 20 - 30
Read more about median at:
https://brainly.com/question/9298915
What is the 18th term to the sequence 14,18,22
identify the graph of the rational function with an x-intercept at (-4,0) and (4,0), a vertical asymptote at x=2, and an oblique asymptote at y=x+2
Answer:
(0,2), (1,3)
Step-by-step explanation:
2^8 - (4+6)
can you please give me the answer
-6x+6y=9 (1/2,2) please helppppp
Answer:
Not a solution.
Step-by-step explanation:
[tex]-6x + 6y = - 9\\\rule{150}{0.5}\\-6(\frac{1}{2}) + 6(2) = -9\\\\-3 + 12 = -9\\\\9 =-9[/tex]
The final result is a contradiction. It is not a solution to the equation, and therefore, will not be on the line.
3.
Mark is m years old. June is 6 years older that Mark. What is their total
age in 10 years' time?
Answer:
20m+60
Step-by-step explanation:
given,
mark=m
june=m+6(6 years older that mark)
so,
after 10 years,
10(m+(m+6)
=10(2m+6)
=20m+60
What is the product of 3.45 x
(1.93 x 10^4)
Answer:
66,585
Step-by-step explanation:
First, solve 10^4, which is 10,000. Then, do 1.93x10,000 and get 19300. Finally, multiply 19300 by 3.45 to get 66,585.
Always use pemdas and hope this helped!
I need Help Asapp
Please!!!!!!!!!!!!!!!!!!
Answer:
i know it is C last year i took that quiz and well i studied /j
Step-by-step explanation:
Pls HELPPPPPP!! the answer
Aline that includes the point 5. 10) has a siope of 1. What is its equation in siope-intercept
te your answer using integers, proper fractions, and improper fractions in simplest for
Step-by-step explanation:
a lot of typos in the problem description.
if I understand correctly, the line contains the point (5, 10) and has a slope of 1.
and we need to give the line equation in slope-intercept form.
that means it has to look like
y = ax + b
a is the slope and b is the y-intercept (hence the name of the form).
we know a = 1.
we can use use the point-slope form to start and then transform it into the slope-intercept form.
point-slope means
y - y1 = a(x - x1)
a is again the slope, and (x1, y1) is a point on the line.
so,
y - 10 = 1(x - 5) = x - 5
now we transform it (adding 10 on both sides)
y = x + 5
and that's it.
discount off each purchase. Calculate the amount of discount off each item (2 points)
17% off a $35 dresser
12% off a $32 dresser
12% off a $22 mirror
20% off a $55 bookshelf
Answer:
17% off a $35 dresser
Step-by-step explanation:
how do i get more points? and why do i need it?
Answer:
You get more points by answering people's questions. You use points to get help from other people.
Answer: Answer people's questions to get points and use those points to get an answer to your question.
Which equation is correct and shows that 42 is 7 times the size of 6?
42 × 2 = 7
42 × 6 = 7
42 ÷ 2 = 7
42 ÷ 6 = 7
Simplify
−
2
x
×
3
x
×
−
x
Answer: 6x^3
Step-by-step explanation:
The rectangular prism shown is formed by six intersecting planes.
Where do the planes ABFE and EFGH intersect
Answer:
Line EF
Step-by-step explanation:
Planes intersect at lines
The planes ABFE and EFGH intersected by line EF.
What is Prism?A prism is a polyhedron in geometry made up of an n-sided polygon basis, a second base that is a rigidly translated copy of the first base, and n additional faces that must all be parallelograms and connect the corresponding sides of the two bases.
We have cuboidal prism which have faces ABFE and EFGH.
To find the point for intersecting we have to find a point or line which is common in both planes.
Here the point E and F are common.
But the plane EF is also common
Thus, the intersecting line is line EF.
Learn more about Prism here:
https://brainly.com/question/29722724
#SPJ2
divide g by 9, then triple the result
Answer:
nose que dice no hablo inglesh :v