Answer:
[tex]\frac{7}{10} ,0.7[/tex]
Reasoning:
Do the inverse of adding 4/5 to isolate and find a.
[tex]1\frac{1}{2} - \frac{4}{5} =\frac{7}{10}[/tex]
Decimal Form:
[tex]1.5-0.8=0.7[/tex]
Answer:
a = 0.7 = 7/10
Step-by-step explanation:
Subtract 4/5 from both sides.
a + 4/5 = 1 1/2
a + 0.8 = 1.5
a + 0.8 -0.8 = 1.5 -0.8 . . . . subtract 4/5 from both sides
a = 0.7 = 7/10
_____
If you like, you can solve this a couple of other ways:
1) Solve it as an integer problem.
10a +8 = 15 . . . . . . multiply the given equation by 10 to clear fractions
10a = 7 . . . . . . . . subtract 8
a = 7/10 . . . . . . divide by 10
2) Use a common denominator
a +8/10 = 1 5/10
a = 1 5/10 -8/10 . . . . . subtract 8/10
a = 15/10 -8/10 = (15 -8)/10 = 7/10 . . . . . convert to improper fraction
__
Additional comment
It is a good idea to get comfortable working with numbers in any form in which they are presented: decimal, fraction, mixed number, scientific notation, percentage. Knowing how to convert between forms is essential.
what is The answer?
Answer:
134
Step-by-step explanation:
Select all of the expressions which are equivalent to-4/3p-2/5
Answer:
-2/5 -4/3 p and -4/3p+ (-2/5)
Please help if you can! A photographer rented a booth at an art fair for $630. The photographer sold each photograph for $45 and made a total of $1,980 after paying for the booth. How many photographs did the photographer sell at the fair?
He needed to make a total of 1980 + 630 = $2610
$2610 / 45 = 58
Answer: 58
Find the length of the third side. If necessary, write in simplest radical form.
which ratios do not form a proportion.
A. 24/96,27/108
B. 17/102,27/108
C. 21/51,35/85
D. 45/75,63/105
Answer:
B. 17/102,27/108 do not for proportion
The sum of three consecutive numbers is 723. Find the numbers.
Answer:
240, 241, 242
Step-by-step explanation:
Use x, x+1, and x+2 to express the three consecutive numbers.
Set up an equation: x + x+1 + x+2 = 723.
Solve for x.
write an equation of the line slope intercept form that is parallel to Y= 1/2 X +3 and through the point (2, -1)
Answer:
y=1/2x
Step-by-step explanation:
I first did point-slope form which is
y+1=1/2(x-2)
Then, I converted it into slope-intercept form which is
y=1/2x
What is the equation of the circle in center - radius form: x² + y2 + 12x - 10y
- 7 = 0?
Answer:
Radius: √ 61
Step-by-step explanation:
Complete the square for x^ 2 + 12 x = ( x + 6 ) ^2 − 36
Substitute ( x + 6 ) 2 − 36 for x 2 + 12 x in the equation x 2 + y 2 + 12 x − 10 y = 0
= ( x + 6 ) 2 − 36 + y 2 − 10 y = 0
Move − 36 to the right side of the equation by adding 36 to both sides
= ( x + 6 ) 2 + y 2 − 10 y = 0 + 36
Then you know the rest: radius will be √ 61
The center coordinate of the circle is (6,5) with a radius = 7.34
What is the equation of the circle?The equation of the circle is: [tex](x-a)^{2} + (y-b)^{2} = r^{2} x^{2}[/tex]
Substituting the values in the equation:
[tex](x-a)^{2} + (y-b)^{2} = r^{2} x^{2} - 2ax + a^{2} + y^{2} - 2by +b^{2} - r^{2} = 0[/tex]
⇒ -2ax = -12x
⇒ a = 6.
-2by = -10y
b= 5.
⇒ a² + b² - r² = -7
⇒ 6² + 5² + r² = -7
⇒ 36 + 25 + r² = -7
⇒ r² = 54
⇒ r = 7.34
Center coordinate (6,5) with r = 7.34
Learn more about the equation of the circle here: brainly.com/question/1471134
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Sketch the graph of each line by identifying the x-and y-intercepts.
what is the slope of the line?
Answer:
The slope is 3 or 3/1
Step-by-step explanation:
The scale factor from A DEF to A ABC is
6
5
ООО
4.5
Answer:
Between the edges of the first two triangles there is a ratio. To find this ratio, you need to ratio one edge of a small triangle to one edge of a large triangle. So 5/30=6/36=8/48=1/5. The ratio we want to find is 1/5 or 5.
A grandfather is ten times older than his granddaughter. He is also 54 years older than
her. How old is each of them?
Answer:
The present ages of the granddaughter and grandfather are 6 and 60 years.
Step-by-step explanation:
Let the present age of granddaughter be x years.
So, the present age of grandfather is 10x years.
According to the given condition, we have
10 x = 54 + x
9 x = 54
x = 6
10 x = 60
age of grandfather is 60
age of granddaughter is 6
Hence, the present age of granddaughter is 6 years and that of grandfather is 60 years.
(hope this helps can I pls have brainlist (crown)☺️)
More reviewing purposes
Answer:
143
Step-by-step explanation:
BEDMAS = brackets, exponents, division, multiplication, substraction, addition.
you need to first do the exponents, then the multiplication, then the addition
exponents = 7² = 49
4 x 9 + 2 x7² + 9 = 4 x 9 + 2 x 49 + 9
multiplication = 4x9 = 36
36 + 98 + 9
addition = 36 + 98 = 134 and 134 + 9 = 143
you need to use the BEDMAS (order of opperation) to find the answer, it simplifies the answer and you can do it step by step. I bolded what you needed to use in this question, but you should use all of the ones that you can whenever you can.
good luck. :)
The density of glass in a bottle is 2.4gcm^3. The volume of glass used to make the bottle is 13.4cm^3. Calculate the mass of the glass bottle.
Answer:
Density is g/cm^3, not gcm^3
Mass = 32.16 grams [32.2 grams for 3 sig figs)
Step-by-step explanation:
Density = Mass/Volume
Density = 2.4g/cm^3
Volume = 13.4cm^3
---
2.4g/cm^3 = Mass/13.4cm^3
Mass = (2.4g/cm^3)*(13.4cm^3)
Mass = 32.16 grams [32.2 grams for 3 sig figs)
The mass of the glass-bottle is 32.16 grams.
What is volume?Space occupied by an object in three-dimensional space is called as volume of an object. In simple words, space is taken by object.
Given:
The density of glass in a bottle is 2.4 grams per cubic centimeters.
The volume of glass used to make the bottle is 13.4 grams per cubic centimeters.
Density = Mass/Volume
Density = 2.4 grams per cubic centimeters.
Volume = 13.4 cubic centimeters.
Substituting all the values,
2.4 = Mass / 13.4
Mass = 13.4 x 2.4
Mass = 32.16
Therefore, mass = 322.16 grams.
To learn more about the volume;
https://brainly.com/question/23477586
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What is the base of the expression 6^-4?
Answer:
The 6 is the base of the expression
Step-by-step explanation:
The base number is the number in front of the exponent.
So [tex]6^{-4}[/tex] the 6 is the base of the expression
hi guys pls answer this we will pass the tomorrow
Answer:
1. 25/24
2. 7/6
3. 4/3
4. 6/8 or 3/4
5. 5/4
1. 1
2. 1/4
3. 2/10 or 1/5
4. 7/3
5. 13/6
Anyone Please Help (for A Brainly )
Answer:
y < x + 1
Step-by-step explanation:
Put the answer in desmos graphing calculator
the answer is y ≤ x + 1
ok done. Thank to me :>
Why does the slope intercept forumla use m and b.
Answer:
y=mx+b
Step-by-step explanation:
m=slope
b= y-intercept
Solve.
−4 3/4=x−1 1/5
What is the solution to the equation?
Enter your answer as a simplified mixed number in the box.
X= ??
how do you simplify 2.7 x 6
Answer:
16.2
Step-by-step explanation:
What is the value of this expression when c = 3 and d = 7? 15+c2⋅d−c3
Answer:
The answer to the equation is 48.
Answer:
The value of this expression is 48
Step-by-step explanation:
15 + c2 * d - c3
c = 3
d = 7
Substitute the value of c and d
15 + (3)2 * 7 - (3)3
Multiply the parenthesis first
15 + 6 * 7 - 9
Now multiply 6 and 7
15 + 42 - 9
Now add 15 and 42
57 - 9
Now subtract
= 48
pls help me with math no links pls thank you will mark you brainliest
18 points
Answer:
None of those are the correct answer. The answer is 10.3625
Step-by-step explanation:
So, yes there is a 3625 but it is only in the decimal places such as the tenths, the hundreths and the thousandths.
A wire is bent to form a square of side 22 cm. If the wire is re bent to form a circle, its radius is with steps
Step-by-step explanation:
the circumference of a circle is
C = 2×pi×r
with r being the radius.
the square side length is 22 cm. so, the circumference or perimeter of the square (and therefore the length of the wire) is
4×22 = 88 cm.
now, it is the same wire of the same length that is now forming a circle.
so, the circumference of the square is also the circumference of the circle.
therefore,
88 = 2×pi×r
44 = pi×r
r = 44/pi = 14.00563499... cm
so, rounded, radius = 14 cm.
Answer:
The other answer is correct
Step-by-step explanation:
The circumference of the circle and the square will be the same so you solve the equation
4*22 = 2 pi r where r is the radius.
David’s bank offers a 36-month Certificate of Deposit (CD) with an APR of 2.25%. Use the compound interest formula to answer the following: a) If P = 2000, what is A(8)? b) Solve the equation A(t) = 4000 for t. c) What principal P should be invested so that the account balance is $2000 in three years?
Using compound interest, it is found that:
a) A(8) = 2389.66
b) t = 31.15
c) P = 1870.85
Compound interest:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem:
The APR is of 2.25%, hence [tex]r = 0.0225[/tex].No information about the number of compounding per year, hence [tex]n = 1[/tex].Item a:
[tex]P = 2000[/tex], hence:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(8) = 2000\left(1 + \frac{0.0225}{1}\right)^{8}[/tex]
[tex]A(8) = 2389.66[/tex]
Item b:
[tex]A(t) = 4000[/tex], hence:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]4000 = 2000\left(1 + \frac{0.0225}{1}\right)^{t}[/tex]
[tex](1.0225)^t = 2[/tex]
[tex]\log{(1.0225)^t} = \log{2}[/tex]
[tex]t\log{1.0225} = \log{2}[/tex]
[tex]t = \frac{\log{2}}{\log{1.0225}}[/tex]
[tex]t = 31.15[/tex]
Item c:
[tex]A(3) = 2000[/tex], hence:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]2000 = P\left(1 + \frac{0.0225}{1}\right)^{3}[/tex]
[tex]P = \frac{2000}{(1.0225)^3}[/tex]
[tex]P = 1870.85[/tex]
A similar problem is given at https://brainly.com/question/24850750
If you use front-end estimation, which is the best choice for 102.3 divided by 23.8?
o A. 3
o B. 4
o C. 5
o D. 6
Answer: Answer is B
Step-by-step explanation:
102.3 divided by 23.8 = 4.30 = 4
Use the graph to identify the following: end behavior. for a branlist
Answer:
the first option, increasing as x approaches infinity and decreasing as x approaches negative infinity
Step-by-step explanation:
Find the slope of the graph
a. -2
b. -1/2
c. 2
d. 1/2
I'll give correct answer brainliest
Answer:
answer is d
by using rise over run you get 3/6 which is then simplified into 1/2
The cost of dance lessons is $12 for 1 lesson, $22 for 2 lessons, and $32 for 3 lessons. Use a graph to determine whether the cost is proportional to the number of lessons. Explain your reasoning.
Answer:
it is not proportional. when you graph it, you will see it is not linear.
Step-by-step explanation:
Answer:
not proportional
Step-by-step explanation:
A graph that’s proportional would have to be linear a straight line but that cannot happen since the numbers are proportional
Its constant of proportionality is 12 and 10 so it could not work.
Thank you so much guys
Answer:
A 2kg body is moving a long a horizontal circular path of radius 2m with constant speed of 6m/s . please help
An item on the sale rack at a local supermarket was marked $3.42. The original price
of the item was $4.75.
What was the percent of the discount?
Answer:
The real answer would be 28%
Step-by-step explanation:
It's true!