Answer:
17 units
Step-by-step explanation:
Moving from (-8, 0) to (7, 8), we see x changing by 15 units from -8 to 7 and y changing by 8 units from 0 to 8.
Regard 15 units as the horizontal leg of a right triangle and 8 units as the vertical leg. We use the Pythagorean Theorem to determine the length of the hypotenuse of this right triangle and interpret the result as the distance between the points:
d = √(15² + 8²) = √289 = 17
The distance between the given points is 17 units.
Which expression is equivalent to 5(n + 7)?
En una ciudad, el porcentaje de la población que
fuma y bebe, de la que solo fuma y de la que
solo bebe, es la mitad, tercera y cuarta parte del
porcentaje que no fuma ni bebe. Determinar qué
porcentaje de la población fuma o bebe.
Answer: Si fuera de los que solo fuman sería del 43,5% si solo de los que lo beben sería del 20,5% si fueran los dos sería del 59%.
Step-by-step explanation:
The percentage of the population smokes or drinks is 52%.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
We are given that;
The drink is half, third and quarter of the percentage
The sum of these percentages must be 100%, so we can write an equation:
x + (1/2)x + (1/3)x + (1/4)x = 100
To solve for x, we need to simplify and isolate x. We can do this by multiplying both sides by 12, the least common multiple of 2, 3, and 4:
12x + 6x + 4x + 3x = 1200
25x = 1200
x = 1200/25
x = 48
This means that 48% of the population neither smokes nor drinks. Therefore, the percentage of the population that smokes or drinks is:
(1/2)x + (1/3)x + (1/4)x
= (1/2)(48) + (1/3)(48) + (1/4)(48)
= 24 + 16 + 12
= 52
Therefore, the percentage answer will be 52%.
Learn more about percent here:
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The complete question is;
In a city, the percentage of the population that smokes and drinks, the one who only smokes and the one who only drinks, it is half, third and quarter of the percentage that neither smokes nor drinks. Determine what percentage of the population smokes or drinks.
. Mr. Jenkins deposited $1,250 into an account. He made no additional
deposits or withdrawals. Mr. Jenkins earned 4.25% annual simple interest
on the money in the account.
What was the balance in dollars and cents in Mr. Jenkins account at the
end of 4 years?
Record your answer on the grid.
Be sure to use the correct place value.
Answer:
$1,462.50
Step-by-step explanation:
To find the percentage, multiply 1,250 by 0.0425, giving us 53.125. Multiply this by the 4 years, giving us a total of 212.5. Add 212.5 and 1,250, leaving us with his total, $1,462.50
Hope this helps!
Which would be the most appropriate way to estimate -6.1(0.22)
Answer: Answer is 1
Step-by-step explanation:
plz help me its kinds hard :(
Answer:
Adjacent Supplementary
Step-by-step explanation:
Vertical angles are across from each other, so you can cross out any answers with vertical.
Complementary angles add up to 90, so you can cross out the answers with complementary.
Write an exponential function whose graph passes through the given points (0, - 2) and (- 1, - 4)
Answer:
y = -2*0.5ˣ
Step-by-step explanation:
general formula for exponential function: y = abˣ
for point (0 , -2): -2 = a*b⁰ = a * 1 = a
a = -2
for point (-1 , -4): -4 = (-2) * b⁻¹ b⁻¹ = (-4) / (-2) = 2
b = 1/2
exponential function: y = -2*0.5ˣ
Write the expression in radical form: (16x^3)^1/4
Answer:
[tex]\sqrt[4]{16x^{3} }[/tex]
Step-by-step explanation:
Solve using the formula : [tex]a^{\frac{x}{n} } =\sqrt[n]{a^{x} }[/tex]
help me plssssssssssssssssss
Answer:
kmkioppppppppoiiu yw quip all cm ms all pure 100.00
Riley can paint 1/5 a room in 1/10 of an hour. At what rate does she paint?
Answer:
Working together, Bill and Tom painted a fence in 8 hours. ... Ben can wash 500 dishes in 2 hours, so, by dividing, I find that he can do 250 ..
please help out!!!!!
Answer:
SSS
Step-by-step explanation:
It will be SAS or AAS or ASA if there is the little angle sign that looks like a semi-circle in the corner. But the Lines in the side of the tringles indicate side not angle
What is 23 fl oz = ______ c
Answer:
2.875c
Step-by-step explanation:
The equations are
2y=3x
4y=12x
3y= x
y= 3x
pls pls help its due very soon!!
Answer:
4y+12x
Step-by-step explanation:
I dont have time to type sry
Given the two equations:
y + x = 5
-2x = -1
0) Draw the graphs of both equations on the same pair of axes by using a scale of 1cm to
represent 1 unit on both axes.
Use your graph to determine the point of intersection.
Answer:
Step-by-step explanation:
I can draw graphs on the application
eq1) is a line through y = 5 with a negative slope of -1 y = -x + 5
eq2) is a vertical line at x = 1/2 NO y intercept or slope
-2x = -1 ---> x = -1/-2 = 1/2
They intersect at
y = -x + 5 and x = 1/2 Substitute x=1/2 into
y = -1/2 + 5
y = 4.5
intersect at (1/2, 4.5)
i need help and you don't have to show your work
Answer:
75
Step-by-step explanation:
Sandy's monthly earnings consist of a fixed salary of $2,500 and a 10% commission on all her monthly sales. To cover her planned expenses, Sandy needs to earn an income of at least $6,000 this month. Write and solve an algebraic inequality to find the amount of sales Sandy needs to cover her planned expenses.
Answer:
$35,000
Step-by-step explanation:
Given data
Fixed salary= $2,500
Commission= 10%
Sandy wants to earn $6,000 this month
Let the total earning be y and the sales be x
Therefore the expression for Sandy's earning is given as
y=2500+0.1x---------------1
when y= $6,000
substitute in 1 and solve for x
6000=2500+0.1x
6000-2500=0.1x
3500=0.1x
x= 3500/0.1
x= $35,000
Hence the amount of sales will be $35,000
Compare the graph of g(x)=x2−3 with the graph of f(x)=x2
Answer:
g(x) is red and f(x) is blue. f(x) has been moved three units down the y-axis.
Answer:
x²-3 if x² vertical transformation shift DOWN 3 units
Step-by-step explanation:
vertical transformation shift DOWN 3 units
Which points make the equation below true?
y = 43x + 5
a. (1 , 7)
b. (6 , 13)
c. (21 , 33)
d. (99 , 137)
Answer:
b,c,d
Step-by-step explanation:
if its 43x, none of the point is true.
if its 4/3x:
a. Not true 4/3(1) + 5 = 6 1/3
b. True 4/3(6) + 5 = 13
c. True 4/3(21) + 5 = 33
d. True 4/3(99) + 5 = 137
Which could not be the length of the unknown side of the triangle?
A. 12
B. 14
C. 15
D. 18
Answer:
All of them
Step-by-step explanation:
All the listed answers are greater than the side marked 11. I don't know if this drawing is to scale, but even the answer 12 if you would make the triangle into two smaller right triangles from the vertex of angle ? and 6 to the side marked 11
Algebraic expressions. c^2+d^2
Answer:
what are you asking?
Step-by-step explanation:
The state decided that the angle a wheelchair ramp
makes with the ground should be no more than 4.3º.
a) What is the maximum height of a 25-foot ramp? Round
to the nearest tenth of a foot.
b) What distance along the ground would this ramp
cover? Round to the nearest tenth of a foot.
Maximum height =
ft.
Distance along the ground =
ft.
Tell whether each pair of angle measurements are complementary, supplementary or neither. 36°,24° 18°,72° 96°,84°
Given:
The pairs of angles are:
36°,24°
18°,72°
96°,84°
To find:
Whether each pair of angle measurements are complementary, supplementary or neither.
Solution:
Two angles are complementary if there sum is 90 degrees.
Two angles are supplementary if there sum is 180 degrees.
For 36° and 24°,
[tex]36^\circ+24^\circ =60^\circ[/tex]
So, this pair is neither complementary not supplementary.
For 18° and 72°,
[tex]18^\circ+72^\circ =90^\circ[/tex]
So, this pair is complementary.
For 96° and 84°,
[tex]96^\circ+84^\circ =180^\circ[/tex]
So, this pair is supplementary.
Are the figures congruent? Explain.
answer:
yes, because when you count the units you will see they are same
step-by-step explanation:
being congruent doesn't mean it is similar, however being similar does mean that they are congruentas you can see when you count the number of units, they are similartherefore, they are congruentSimplify. Write the expression using only positive exponents.
5b^-2/b^-3
Answer:
5b?
cause ^-2 and b^-3 are going to be shortened..
I hope it's correct..
If x > g and g = 8, which set of numbers could represent x? Remember the whole set of numbers, must make this inequality true.
Answer: all numbers 9 and up.
On what day will both girls will be on the same page _____?
Answer:
like ummmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm .............. never
Step-by-step explanation:
10. A bag contains black and white marbles. Overall, there are 36 marbles in the bag. If there are
14 more black marbles than white marbles, how many of each color are in the bag?
Equation #1
Equation #2
black marbles
white marbles
Answer:
25 black and 11 white
Step-by-step explanation:
lets say black marbles are x and white marbles are y
x+y=36
y+14=x
So: y+14+y=36
2y=22
y=11
Hence, x=25
Hope that helps!
A used book store is selling 3 records and 5 CDs for $60. You can also buy 6 records and 4 CDs for $80. Find the cost of one CD. Write the linear system that describes this situation.
9514 1404 393
Answer:
3r +5c = 60
6r +4c = 80
Step-by-step explanation:
There are many aspects of "this situation" that could be described by equations. We are guessing that you want equations that will help you determine the costs of a record and a CD, assuming the costs are the same for each instance of the media.
Let r and c represent the costs of a record and a CD, respectively.
3r +5c = 60 . . . . . . . the value of the first purchase
6r +4c = 80 . . . . . . . the value of the second purchase
These equations comprise a linear system describing an aspect of the situation.
_____
Comment on the question
The numbers make no sense, as the cost of a CD is $(6 2/3), the cost of a record is $(8 8/9).
Which values of x make 2 x + 3 < 17 a true statement?
Please answer the question above.
Answer:
5.3!
Step-by-step explanation:
( in case you need work ) the angles are congruent so you set them equal to each other!
6x+12=9x-4
you then get 16=3x then divided its 5.3!
Choose the best decimal to represent 5 3/7
2.3
5.428571
2.3
5.428571
Answer:
5.428571
Step-by-step explanation:
[tex]5\frac{3}{7}[/tex]
take the fraction and divide that:
[tex]\frac{3}{7} =0.428571[/tex]
then just add 5:
5 + 0.428571 = 5.428571
or...
convert the mixed fraction to improper fraction:
[tex]5\frac{3}{7} = \frac{38}{7}[/tex]
divide like normal:
[tex]\frac{38}{7} = 5.428571[/tex]