Answer:
8x-12=6x-2 x=5
Step-by-step explanation:
Jay is letting her bread dough rise. After three hours, her bread dough is 1 1/5 of its original size. What percent of its original size is Jay's bread dough?
Answer: It becomes 120% of original dough.
Step-by-step explanation:
Since we have given that
Jay is letting her bread dough rise,
After 3 hours, her bread dough is [tex]1\frac{1}{5}=\frac{6}{5}[/tex] of its original size.
We need to find the percent of its original size is Jay's bread dough.
So, Percentage will be
[tex]\frac{6}{5}\times 100\\\\=6\times 20\\\\=120\%[/tex]
So, it becomes 120% of original dough.
Find the measure of angle x.
What is the reciprocal of 3 1/5
Answer:
5/16
Step-by-step explanation:
We need to change the mixed number to an improper fraction to find the reciprocal
3 1/5 = (5*3+1)/5 = 16/5
The reciprocal of 16/5 is found by flipping the fraction
5/16
Answer:
5/16
Step-by-step explanation:
To find the reciprocal you have to make the fraction a mixed number by multiplying the denominator by the whole number then adding the numerator, in this case it would give you 16/5. Since the reciprocal is the number that you multiply to get one, if you switch the denominator and the numerator, you get 5/16.
You can check your work by multiplying the numbers together, if it equals one, your reciprocal is correct, if not, then you may have to do it again.
Plz help I need by tonight
What is the value of x?
a. 19 degrees
b. 26 degrees
c. 29 degrees
d. 109 degrees
Answer:
a. 19 degrees
Step-by-step explanation:
The angles of a triangle add up to 180 degrees.
This triangle is a right triangle, so it has a 90 degree angle.
The three angles are 90, 71, and x
90+71+x = 180
Combine like terms.
161+x=180
Subtract 161 from each side
161-161 +x =180-161
x =19
find the length
A) MN
B) MP
C)RN
D)HN
Answer:
see explanation
Step-by-step explanation:
MP = HP - HM = 22 - 10 = 12
MN = [tex]\frac{1}{2}[/tex] MP = 6 = NP
RN = RP + PN = 5 + 6 = 11
HN = HM + MN = 10 + 6 = 16
I ready question
Answer fast plz!!!
Answer:
24 photos per day
Step-by-step explanation:
Set up a chart.
x y
1 24
2 48
3 72
4 96
5 120
6 144
The change between y is =24
The change in x is +1
change in y
------------------
change in x
24
---- =
1
24 photos per day
What is the value of y? Enter your answer in the box. y = An isosceles triangle with vertices labeled A, B, and C. Side B C is the base. Sides A B and A C are equal. Sides A B and A C are labeled with single tick marks. Angle A is labeled as left parenthesis 3 y plus 70 right parenthesis degrees, angle B is labeled as 25 degrees, and angle C is labeled as left parenthesis 5 x right parenthesis degrees.
Answer:
The answer is y=20
Step-by-step explanation:
If you take a look at the attached picture you will notice that angles B and C are congruent, so that means they both are 25 degrees.
Next, add angles B and C together to get 50.
Then you take that 50 and add it to 70 in angle A's equation, and you will get 120.
Next, plug 120 into angle A's equation where the 70 was and you will have the equation 3y+120=180. (180 is there because that is what all the interior angles equal together.)
Next, slove the equation.
3y+120 = 180 -120 -120 3y = 60 /3 /3 y = 20And theres your answer, I hope I helped. Put any questions in the comments.
The value of y in the isosceles triangle is 20. This was determined by making use of the angles sum property of a triangle and the specific properties of an isosceles triangle.
Explanation:The subject of this question is geometry, specifically the properties of an isosceles triangle and the inner angles. An isosceles triangle is a triangle with at least two equal sides - in this case, sides AB and AC. Because it is an isosceles triangle, angles B and C are equal. Therefore, we know that the value of angle C in degrees is also 25 (5x = 25).
According to the angles sum property of a triangle, the sum of the inner angles of a triangle is always 180 degrees. Therefore, we have the equality: (3y + 70) + 25 + 25 = 180. If we subtract 70 from both sides, we have 3y = 180 - 120, which simplifies to 3y = 60. To solve for y, we divide both sides by 3. Concluding, y = 60/3 = 20.
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The population of a town is increasing by
611 people per year. State whether this growth is linear or exponential. If the population is 1800 today, what will the population be in
five years?
The population increase in the town is linear, and with a constant increase of 611 people per year, the population is projected to be 4855 in five years.
Explanation:The population of a town described is increasing at a constant rate, therefore, this represents linear growth. Each year, the population increases by a fixed number, in this case, 611. This contrasts to exponential growth, where the population would increase by a fixed percentage.
To calculate the population in five years, we multiply the rate of increase (611) by the number of years (5) and add the starting population. So, 611*5 = 3055. Adding the current population of 1800 gives us 4855.
Therefore, the population of the town in five years will be 4855, given the linear growth rate holds steady.
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the half-life of uranium -238 is 4.5 × 10 to the power of 9 years. The half-life of uranium-238 than that of uranium-234
Answer:
Uranium-234 is an isotope of uranium. In natural uranium and in uranium ore, U-234 occurs as an indirect decay product of uranium-238, but it makes up only 0.0055% (55 parts per million) of the raw uranium because its half-life of just 245,500 years is only about 1/18,000 as long as that of U-238.
Step-by-step explanation:
To join the gym, there is a $100 annual fee and a $7 monthly fee for each class you attend. Write an equation in slope-intercept form that models this situation.
x = number of months
7*x = 7 times the number of months
7*x = total cost if you ignore the $100 fee
7x+100 = total cost with the fee of $100 included
y = total cost
y = 7x+100
Final Answer: y = 7x+100
note: the slope is 7 and the y intercept is 100
am i correct?? thanks for checking my answer:)
Sum of q and 10 is 20
Answer:
The equation is q + 10 = 20
The solution is q = 10
Step-by-step explanation:
"sum" means an addition.
"sum of q and 10" means "q + 10".
"is" means "="
That means you have the equation
q + 10 = 20
To solve the equation, subtract 10 from both sides.
q + 10 - 10 = 20 - 10
q = 10
Answer:
The equation is q + 10 = 20
The solution is q = 10
Answer:
q+10 = 20
Solving for q,
q=10
Step-by-step explanation:
Sum means addition and is means equals
q+10 = 20
We can solve for q by subtracting 10 from each side
q+10-10 = 20-10
q=10
what is the equation of the line that is perpendicular to 5x+6y=16 and passes through the point (-5,7)?
Answer:
y=6/5x+13
Step-by-step explanation:
6y=-5x+16
Divide by 6
y=-5/6x + 8/3
Slope: 6/5 (opposite reciprocal)
7=-5(6/5)+b
7=-6+b
b=13
HELP PLEASE Simplify the expression: (0.07b3m+7)÷( 1 5 bm−1)
The simplified expression of the expression (0.07b³m + 7) ÷ (15bm⁻¹) is (0.07b³m + 7) ÷ (15bm⁻¹)
How to simplify the expressionTo simplify the expression, we have
Find the greatest common factor (GCD) of the numerator and denominator. Divide the numerator and denominator by the GCD.The GCD of the numerator and denominator is 1.
So, the simplified expression is:
(0.07b³m + 7) ÷ (15bm⁻¹) = (0.07b³m + 7) ÷ (15bm⁻¹)
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A department store sells t-shirts for $16.00. Every month that a t-shirt doesn’t sell, the store reduces the selling price by 25%. Find the selling price of the shirt for three price reductions.
Answer:
the price is 6.75
Step-by-step explanation:
you deduct 25 from 16 what gives you 12.00
then deduct 25 from 12that gives you 9
then deduct 25 from 9 gives you 6.75
Help me pleaseeeeeee
Answer:
Shade in the first three rectangles
Step-by-step explanation:
1/4 of 12 is 3. So u fill in three
Answer:
3 boxes
Step-by-step explanation:
you would divide 12 by 4 and get 3 so shade in 3 boxes
By The triangle inequality theorem and which set of side lengths could create a triangle? A 5, 10, 4. B. 5, 7, 13. C. 7,9,3. D. 10,4,5
Answer:
Correct choice is C
Step-by-step explanation:
Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. Thus, if a, b and c are triangles sides, then
[tex]a+b>c,\\ \\a+c>b,\\ \\b+c>a.[/tex]
A. Consider lengths a=5, b=10 and c=4. Since
[tex]a+c=5+4=9<10=b,[/tex]
these side lengths couldn't create triangle.
B. Consider lengths a=5, b=7 and c=13. Since
[tex]a+b=5+7=12<13=c,[/tex]
these side lengths couldn't create triangle.
C. Consider lengths a=7, b=9 and c=3. Since
[tex]a+b=7+9=16>3=c,\\ \\a+c=7+3=10>9=b,\\ \\b+c=9+3=12>7=a.[/tex]
These side lengths could form a triangle.
D. Consider lengths a=10, b=4 and c=5. Since
[tex]b+c=4+5=9<10=a,[/tex]
these side lengths couldn't create triangle.
Answer:
C?
Step-by-step explanation:
The temperature fell from 0 degrees to 6 3/5 degrees below 0 in 2 1/5 hours. What was the temperature change per hour?
Answer:
-3 degrees per hour
Step-by-step explanation:
Temperature was [tex]0[/tex] degrees and it fell to [tex]-6\frac{3}{5}=-\frac{33}{5}[/tex] in [tex]2\frac{1}{5}=\frac{11}{5}[/tex] hours.
To get temperature change per hour, we divide the change by total number of hours. So:
Change is [tex]-\frac{33}{5}-0=-\frac{33}{5}[/tex]Total hours is [tex]\frac{11}{5}[/tex]So temperature changer per hour:
[tex]\frac{-\frac{33}{5}}{\frac{11}{5}}\\=-\frac{33}{5}*\frac{5}{11}\\=-\frac{33}{11}\\=-3[/tex] degrees per hour.
Answer:
The temperature change per hour was -3 degrees per hour.
Step-by-step explanation:
We know that the temperature fell from [tex]0[/tex] degrees to [tex]-6\frac{3}{5}[/tex] degrees in a time period of [tex]2\frac{1}{5}[/tex] hours.
So to find the rate of change of the temperature, we will divide the change in temperature by the number of hours.
For that, we will change the mixed number into improper fractions and then solve:
[tex]-6\frac{3}{5}=-\frac{33}{5}degrees[/tex]
[tex]2\frac{1}{5}=\frac{11}{5} hours[/tex]
Temperature change per hour = [tex]\frac{-\frac{33}{5}}{\frac{11}{5}} = \frac{33}{5}*-\frac{5}{11}=-3[/tex]
Therefore, the temperature change per hour was -3 degrees per hour.
Which complex number is represented by the point graphed on the complex plane below?
–4 + 3i
3 + 4i
3 – 4i
4 + 3i
Answer:
Step-by-step explanation:
3-4i
The complex number is represented by the point graphed on the complex plane is 3-4i. Therefore, option C is the correct answer.
What is the complex number?A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z.
Since the point (a, b) can be written in the form a + bi, where 'a' is the measurement along X-axis and 'b' is the measurement along Y-axis, so the point (3, -4) an be written in the following form:
(3, -4) = 3 + (-4)i = 3-4i.
Therefore, option C is the correct answer.
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PLSSSSSSSSSSSS HELP ME!!!
What is the best approximation of the solution to the system? (Round to the nearest whole number).
Answer:
(1,7)
Step-by-step explanation:
You are given the system of two equations
[tex]\left\{\begin{array}{l}x-y=-6\\5x+3y=24\end{array}\right..[/tex]
Each equation represents straight line in the diagram. The point of intersection between these two lines represents the solution of the system of two equations. From the diagram the best approximation of the solution of the system rounded to the nearest whole number is (1,7).
Or you can solve this system algebraically. Express x from the first equation
[tex]x=y-6[/tex]
and substitute it into the second equation:
[tex]5(y-6)+3y=24,\\ \\5y-30+3y=24,\\ \\8y=54,\\ \\y=\dfrac{54}{8}=\dfrac{27}{4}=6.75\approx 7.[/tex]
Then
[tex]x=6.75-6=0.75\approx 1.[/tex]
Mylar balloons cost $1.25 each l, and latex balloons cost $0.75 each. What equations can be used to find the number of each type of balloon in a bunch of 18 balloons that costs $19?
A)1.25m+0.751=18
B)m+1=18; 1.25m= 0.751
C)1.25m-m=18;0.751-1=19
D)m+1=18;1.25m+0.751=19
Answer: D) [tex]m+l=18\\\\1.25 m+0.75 l=19[/tex]
Step-by-step explanation:
Let 'm' represents the number of Mylar balloons and 'l' represents the number of latex balloons.
Given : Mylar balloons cost $1.25 each l, and latex balloons cost $0.75 each.
i.e. cost of m Mylar balloons in dollars = 1.25 m
i.e. cost of l Latex balloons in dollars = 0.75 l
Then, the equations can be used to find the number of each type of balloon in a bunch of 18 balloons that costs $19 will be :-
[tex]m+l=18\\\\1.25 m+0.75 l=19[/tex]
Hence, the correct answer is Option D.[tex]m+l=18\\\\1.25 m+0.75 l=19[/tex]
The equations which can be used from the options given are :
(m + l) = 18
($1.25l + $0.75m) = $19
Cost per mylar balloon, m = $1.25
Cost per latex balloon, l = $0.75
Number of balloons in bunch = 18
Cost of bunch = $19
The cost can be expressed as :
(unit cost of each Ballon × number of each Ballon in a bunch) = total cost of bunch
($1.25l + $0.75m) = $19
Since the total Number of balloons in bunch = 18
And only mylar and latex balloons are present in the bunch ;
Then ;
(Number of mylar+number of latex) balloons = 18
(m + l) = 18
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I need a lot of help
I HATE MATH
Answer,
= 4
Explanation,
So, basicly they want you to put the numbers (1/5) & (15) in place of the letters (c) & (d). Let's do that,
5 * 1/5 + 1/5 * 15
So, now that we have replaced the letters with numbers we simply simplify,
5 * 1/5 = 1
1/5 * 15 = 3
3 + 1 = 4
Hope this helps :-)
A company spends 13% of its month budget on rent which total $2600 which proportion can be used to calculate the company’s total budget
Answer:
20,000
Step-by-step explanation:
We can create a proportion to find the total budget. A proportion is an equation where two ratios are set equal to each other. We create two fractions using the budget and percents.
[tex]\frac{13}{100} =\frac{2600}{x}[/tex]
We begin solving by cross multiplying numerator to denominator of each fraction.
[tex]13(x)=100(2600)\\13x=260000\\\frac{13x}{13}=\frac{260000}{13} \\20,000=x[/tex]
Answer:
the company's total budget is 20,000
Step-by-step explanation:
A company spends 13% of its month budget on rent which total $2600
Let x be the month budget on rent
13% of the month budget is 2600
13% can be written as 13/100
[tex]\frac{13}{100} \cdot x=2600[/tex]
Now we solve for x
multiply both sides by 100
[tex]13x= 260000[/tex]
divide both sides by 13
x=20000
So, the company's total budget is 20,000
The table shows temperatures below freezing measured in different units. Complete the equation in standard form to represent the relationship between F, a temperature measured in degrees Fahrenheit, and C, a temperature measured in degrees Celsius. 5F + C = 39°F = °C rounded to the nearest tenth of a degree
Answer:
1. -9 2. 160
3. 3.9
Step-by-step explanation:
I dd the assignment
The equation in standard form that represents the relationship between Fahrenheit (F) and Celsius (C) is 5F + (5/9)(F - 32) = 39.
Explanation:In order to represent the relationship between Fahrenheit (F) and Celsius (C) in standard form, we can use the conversion formula:
C = (5/9)(F - 32)
Given the equation 5F + C = 39, we can substitute the value of C from the conversion formula into the equation:
5F + (5/9)(F - 32) = 39
Simplifying the equation further:
45F + 5(F - 32) = 351
45F + 5F - 160 = 351
Combine like terms:
50F - 160 = 351
Add 160 to both sides:
50F = 511
Divide both sides by 50:
F = 10.22
Therefore, the equation in standard form that represents the relationship between F (degrees Fahrenheit) and C (degrees Celsius) is 5F + (5/9)(F - 32) = 39.
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The complete question is here:
The table shows temperatures below freezing measured in different units. Complete the equation in standard form to represent the relationship between F, a temperature measured in degrees Fahrenheit, and C, a temperature measured in degrees Celsius. 5F + C = 39°F = °C rounded to the nearest tenth of a degree
Freezing Temperatures (°)
Column A. F
1. -13
2. -4
3. 5
4. 14
5. 23
Column B. C
A. -25
B. -20
C. -15
D. -10
E. -5
Javier bought a 20- ounce smoothie that contains 450 calories. how many calories does the smoothie contain per ounce?
Answer:
22.5 calories per oz.
Step-by-step explanation:
Simplify. Find the amount for 1 oz. Divide 450 with 20
450/20 = 22.5
22.5 calories per oz.
~
An arithmetic sequence has t1 = 3, t2 = 10. Find tn, Sn.
Answer:
see explanation
Step-by-step explanation:
the n th term of an arithmetic sequence is
[tex]t_{n}[/tex] = [tex]t_{1}[/tex] + (n - 1)d
given [tex]t_{1}[/tex] = 3 and [tex]t_{2}[/tex] = 10, then
[tex]t_{2}[/tex] = 3 + d = 10 ⇒ d = 10 - 3 = 7
[tex]t_{n}[/tex] = 3 + 7(n - 1) = 3 + 7n - 7 = 7n - 4
the sum to n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex][2[tex]t_{1}[/tex] + (n - 1)d ]
= [tex]\frac{n}{2}[/tex][(2 × 3) + 7(n - 1) ]
= [tex]\frac{n}{2}[/tex](6 + 7n - 7 )
= [tex]\frac{n}{2}[/tex](7n - 1)
= [tex]\frac{7}{2}[/tex] n² - [tex]\frac{1}{2}[/tex] n
Which ratio forms a proportion with 1620 ? A. 4/10 B. 32/50 C. 8/12 D. 4/5
Answer:
Option D is correct.
[tex]\frac{4}{5}[/tex] is the ratio form a proportion with [tex]\frac{16}{20}[/tex]
Step-by-step explanation:
Proportion states that the two fraction or ratios are equal.
i.e, [tex]\frac{a}{b} = \frac{c}{d}[/tex]
Given the ratio [tex]\frac{16}{20}[/tex]
To find the proportion of this ratio forms.
[tex]\frac{16}{20}[/tex]
Divide top and bottom by 4 , we have;
[tex]\frac{\frac{16}{4} }{\frac{20}{4} }[/tex]
Simplify:
[tex]\frac{4}{5}[/tex]
therefore, a ratio form a proportion with [tex]\frac{16}{20}[/tex] is, [tex]\frac{4}{5}[/tex]
Option D, 4/5 forms a proportion with 16:20.
To determine which ratio forms a proportion with 16:20, we must find a ratio equivalent to 16:20.
We start by simplifying 16:20. Both 16 and 20 can be divided by their greatest common divisor, which is 4:
16 ÷ 4 = 4
20 ÷ 4 = 5
This gives us the simplified ratio of 4:5. Now, we need to check which of the given options matches 4:5.
4/10: When simplified, 4:10 becomes 2:5, which is not equal to 4:5.
32/50: When simplified, 32:50 becomes 16:25, which is not equal to 4:5.
8/12: When simplified, 8:12 becomes 2:3, which is not equal to 4:5.
4/5: This ratio is already simplified and equal to 4:5.
Therefore, the ratio 4:5 forms a proportion with 16:20.
Correct Question
Which ratio forms a proportion with 16:20 ?
A. 4/10
B. 32/50
C. 8/12
D. 4/5
Two consecutive positive numbers are such that the sum of their squares is 113. find the two numbers
Answer: 7 and 8
Step-by-step explanation:
Let x represent the first number, then x + 1 is the other number.
(x)² + (x + 1)² = 113
x² + x² + 2x + 1 = 113 expanded (x + 1)²
2x² + 2x + 1 = 113 added like terms
2x² + 2x - 112 = 0 subtracted 113 from both sides
x² + x - 56 = 0 divided both sides by 2
(x + 8) (x - 7) = 0 factored polynomial
x + 8 = 0 x - 7 = 0 applied zero product property
x = -8 x = 7 solved for x
↓
not valid since the restriction is that x > 0 (a positive number)
So, x = 7 and x + 1 = (7) + 1 = 8
Write an equation in point slope form for the line through the given point with the given slope (7,-9);m=4/5
Possible answers in pic
The point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
We have m = 4/5 and the point (7, -9). Substitute:
[tex]y-(-9)=\dfrac{4}{5}(x-7)\\\\\boxed{y+9=\dfrac{4}{5}(x-7)}[/tex]
Equation of the line is a way of representation of the line in a algebraic from with point which form the line in the coordinate system and the slope. Thus the equation of the line passing through the point (7,-9) having the slope 4/5 is,
[tex](y-7)=\dfrac{4}{5} (x+9)[/tex]
Hence, the option 2 is the correct option.
Given Information-The line passes through the point (7,-9).
The slope of the line is 4/5.
Equation of the line-Equation of the line is a way of representation of the line in a algebraic from with point which form the line in the coordinate system and the slope.
The standard form of the equation of the line can be given as,
[tex](y-y_1)=m (x-x_1)[/tex]
Here m is the slope of the line.
Thus, the equation of the line passes through (7,-9) having the slope 4/5 can be given as,
[tex](y-y_1)=m (x-x_1)[/tex]
Put the values,
[tex](y-7)=\dfrac{4}{5} (x-(-9))[/tex]
[tex](y-7)=\dfrac{4}{5} (x+9)[/tex]
Thus the equation of the line passing through the point (7,-9) having the slope 4/5 is,
[tex](y-7)=\dfrac{4}{5} (x+9)[/tex]
Thus the option 2 is the correct option.
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