Answer:
21.04
Step-by-step explanation:
Start by adding the hundredths category. 0.09 + 0.05 = 0.14, this means that your hundredths column will be a 4, and you will carry the 1 over to the tenths.
Now add your tenths. 0.0 + 0.9 + 0.1 = 1.0, which means that your tenths column is a 0. Carry the 1 over to the whole numbers.
Now add your whole numbers. 7 + 13 + 1 = 21. Combine your terms and you get 21.04
Final answer:
21.04
Explanation:
To find the sum of 7.09 and 13.95, we simply add the two numbers together, aligning the decimal points vertically.
Add the hundredths place: 9 (from 7.09) + 5 (from 13.95) = 14. Write down 4 and carry over 1 to the tenths place.Add the tenths place: 0 (from 7.09) + 9 (from 13.95) + 1 (the carryover) = 10. Write down 0 and carry over 1 to the ones place.Add the ones place: 7 (from 7.09) + 3 (from 13.95) + 1 (the carryover) = 11. Hence, write down 1 and carry over another 1 to the tens place.Add the tens place, which is just the carryover: 1 (from the carryover) + 1 (from 13.95) = 2. So, write down 2.Putting it all together, we get 21.04 as the final sum.
Need help ASAP !!!!!!
Answer:
Therefore, Point M( 1 , -2 ) is the Mid point of segment ST.
Step-by-step explanation:
Given:
Let,
point S( x₁ , y₁) ≡ ( -1 , 1)
point T( x₂ , y₂) ≡ (3 , -5)
Point M( x , y ) is the Mid point of segment ST.
To Find:
Point M( x , y )= ?
Solution:
As Point M( x , y ) is the Mid point of segment ST.
So we have Mid Point Formula as
[tex]Mid\ pointM(x,y)=(\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2})[/tex]
On substituting the given values in above equation we get
[tex]M(x,y)=(\frac {-1+3}{2},\frac{-5+1}{2})\\\\M(x,y)=(\frac{2}{2},\frac{-4}{2}) \\\\M(x,y)=(1,-2)\ \textrm{which the required midpoint}[/tex]
Therefore, Point M( 1 , -2 ) is the Mid point of segment ST.
Which property is illustrated below?
1 + 7 = 7 + 1
commutative property of addition
distributive property
associative property of addition
identity property of addition
Answer:
commutative property of addition
Step-by-step explanation:
Answer:
The answer to your question is commutative property of addition
Step-by-step explanation:
commutative property of addition means switching up the numbers of the equation but the sum is still the same.
Like in your qustion 1+7=8 but 7+1=8 also. The numbers 7 and 1 are switched around but the answer is still 8.
PLEASE 25 POINTSSSSSSSSSS NEEDED IN THE NEXT 5 MINUTES I WILL MARK BRANIEST
Answer:
E
Step-by-step explanation:
The equation of proportion is
y = kx ← k is the constant of proportionality and
k = [tex]\frac{y}{x}[/tex]
Substitute the values from the table into the equation for k, that is
k = [tex]\frac{2}{3}[/tex] = [tex]\frac{4}{6}[/tex] = [tex]\frac{6}{9}[/tex] = [tex]\frac{2}{3}[/tex]
What is the value of p if the line that passes through (2,-4) and (p,8) has a slope of 1/2?
Answer:
Step-by-step explanation:
(2,-4)....x1= 2 and y1 = -4
(p,8).....x2 = p and y2 = 8
slope(m) = 1/2
now use the slope formula (y2 - y1) / (x2 - x1) and sub in what we know...
slope(m) = (y2 - y1) / (x2- x1)
1 / 2 = (8 - (-4) / (p - 2)
1 / 2 = (8 + 4) / (p - 2)
1/2 = 12 / (p - 2) .....now multiply both sides by (p - 2)
1/2(p - 2) = 12
1/2p - 1 = 12
1/2p = 12 + 1
1/2p = 13
p = 13 / (1/2)
p = 13 * 2/1
p = 26
so the value of p is 26
A number y is at least 3 and is less than 10
Answer:
[tex]3 \leqslant y < 10[/tex]
The inequality that represents the given situation is (3 ≤ y < 10).
What are inequalities?An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made. The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in place of the equals sign. It is an illustration of inequity. This shows that the left half, 5x 4, is bigger than the right part, 2x + 3.So, the inequality will be:
We know that y is at least 3 and less than 10.Which means:
3 ≤ y y < 10So, the inequality will be:
3 ≤ y < 10Therefore, the inequality that represents the given situation is (3 ≤ y < 10).
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What is quartile 1 (Q1)quartile 3 (Q3) and the IQR? Answer all three parts . 13, 23, 24, 25, 26, 26, 37, 47, 47, 48, 50
Answer:
Quartile 1 (Q1) = 24
Quartile 2 (Q2) = 47
IQR = 23
Step-by-step explanation:
Given:
The set of data are:
13, 23, 24, 25, 26, 26, 37, 47, 47, 48, 50
The data are in increasing order. The number terms are, [tex]n = 11[/tex].
Therefore, the middle term = [tex]\frac{n+1}{2}=\frac{11+1}{2}=6^{th}\ term[/tex]
So, the median = 26
Now, the median divides the set of data into two parts. The median of first part is the quartile 1 and the median of second part is quartile 2.
So, the first part has the following terms:
13, 23, 24, 25, 26
Here also, [tex]n=5[/tex]. So, the third term is the median.
∴ Q1 = 24
The second part has the following terms:
37, 47, 47, 48, 50
Here also, [tex]n=5[/tex]. So, the third term is the median.
∴ Q2 = 47.
Now, IQR = Q2 - Q1 = 47 - 24 = 23.
Enter your answer and show all the steps that you use to solve this problem in the space provided.
Explain how mental math can be used to estimate a 15% tip on a taxi ride that costs $23.25. Find the tip using that method.
Answer:
3.75
Step-by-step explanation:
the number you want to turn into apercentage over the total value so you end up with a fraction. Then, turn the fraction into a decimal by dividing the top number by the bottom number. Finally, multiply the decimal by 100 to find the percentage.
8 divided by 709 long division show work
Answer:
0.011 (taking till hundredth decimal value)
Step-by-step explanation:
Given: 8 divided by 709.
Lets solve it by using long division.
[tex]8\div 709[/tex]
Divisor is 709 and dividend is 8.
Now, while solving we will get quotient and remainder, if any.
As in this case 709 (divisor) is smaller number than 8 (dividend).
So, we need to take decimal in quotient to add zero with the dividend, which is again smaller than divisor, therefore we will take 0 also in quotient after decimal to add more zero with dividend, now dividend have value "800".
∴[tex]800\div 709= 0.0[/tex]
In the next step, we will divide 800 by 709.
As we know, [tex]709\times 1= 709\\709\times 2= 1418[/tex]
As 709 is lesser than 800 and we don´t have value equal to 800 in the multiple of 709, therefor we will quotient as "1" .
∴ [tex]800\div 709=0.01[/tex]
Now, we have remainder [tex]800-709= 91[/tex]
we cannot divide 91 by 709, so we add zero to the dividend as we have already taken decimal.
∴ with remainder 91 and adding zero to it, make it [tex]910\div 709[/tex]
Now, we have [tex]910\div 709= 0.011[/tex]
As we know, [tex]709\times 1= 709\\709\times 2= 1418[/tex]
As 709 is lesser than 910 and we don´t have value equal to 9100 in the multiple of 709, therefor we will quotient as "1" .
∴ We have result as 0.011 (taking till hundredth decimal value)
Construct the graph of the equation y=kx if it is known that the point B belongs to the graph. The graph of which of these two equations goes through point M(−10, 15)?
B(2, −3)
B(3 1/3, -2)
WILL AWARD BRAINLIEST AS USUAL!! DEPENDS ON MY GRADE!!
Answer:
The graph with B(2,-3) i.e) y=[tex]\frac{-3}{2}[/tex] x goes through the point M(-10,15).
Step-by-step explanation:
Consider M(-10,15) and given that equation is y = kx.
Now, substitute M(-10,15) in the equation
⇒ 15 = k × -10
⇒ k = [tex]\frac{15}{-10}[/tex] = [tex]\frac{-3}{2}[/tex]
⇒ y = [tex]\frac{-3}{2}[/tex] x
Now, check with the given points B(2,-3) and B([tex]3\frac{1}{3}[/tex] , -2)
1) B(2,-3)
y = [tex]\frac{-3}{2}[/tex] x
⇒(-3) = [tex]\frac{-3}{2}[/tex] × 2
⇒ -3 = -3 ⇒ LHS = RHS
⇒ B(2,-3) is the required point.
2) for b([tex]3\frac{1}{3}[/tex] , -2)
LHS ≠ RHS.
So,The graph with B(2,-3) i.e) y=[tex]\frac{-3}{2}[/tex] x goes through the point M(-10,15).
One number is 4 more than another. The sum of the number is 20.
Answer:
Numbers are 8 and 12
Step-by-step explanation:
x=4+y
x+y=20
Solving both equations
4+y+y=20
2y=16
y=8
x=4+8=12
-4 (2x+9) + 3x = 6 - 4 (x-3)
Answer:
x=-54
Step-by-step explanation:
-4(2x+9)+3x=6-4(x-3)
Reorder the terms in parentheses
+(-8x-36)+3x=6-4*(x-3)
Remove unnecessary parentheses
-8x-36+3x=+6-4+*(+x-3+)
Reorder the terms in parentheses
-8x-36+3x=6+(-4x+12)
Remove unnecessary parentheses
-8x-36+3x=+6-4x+12
move all terms containing x to the left and all other terms to the right.
-8x+3x+4x=+6+12+36
simplify left and right side of the equation.
-1x=+54
finally, divide both sides of the equation by -1 to get x.
x=-54
-4 (2x+9) + 3x = 6 - 4 (x-3)
Simplifying
-4(2x + 9) + 3x = 6 + -4(x + -3)
Reorder the terms:
-4(9 + 2x) + 3x = 6 + -4(x + -3)
(9 * -4 + 2x * -4) + 3x = 6 + -4(x + -3)
(-36 + -8x) + 3x = 6 + -4(x + -3)
Combine like terms: -8x + 3x = -5x
-36 + -5x = 6 + -4(x + -3)
Reorder the terms:
-36 + -5x = 6 + -4(-3 + x)
-36 + -5x = 6 + (-3 * -4 + x * -4)
-36 + -5x = 6 + (12 + -4x)
Combine like terms: 6 + 12 = 18
-36 + -5x = 18 + -4x
Solving
-36 + -5x = 18 + -4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4x' to each side of the equation.
-36 + -5x + 4x = 18 + -4x + 4x
Combine like terms: -5x + 4x = -1x
-36 + -1x = 18 + -4x + 4x
Combine like terms: -4x + 4x = 0
-36 + -1x = 18 + 0
-36 + -1x = 18
Add '36' to each side of the equation.
-36 + 36 + -1x = 18 + 36
Combine like terms: -36 + 36 = 0
0 + -1x = 18 + 36
-1x = 18 + 36
Combine like terms: 18 + 36 = 54
-1x = 54
Divide each side by '-1'.
x = -54
Simplifying
x = -54
Miriam is playing a game of dice. For every 1 or 6 rolled, Miriam will in $5. For any other number, she must pay $2. How much money can Miriam except to win or lose?
Answer:
So, she can expect to win a total of $0.33 .
Step-by-step explanation:
According to the question miriam will get 5$ when the dice will show 1 or 6 .
And also she will lose 2$ for any other number .
Now ,
Total number of favorable cases for winning of 5$ for the miriam are 2.
Total number of cases = 6.
Also,
Total number of cases in which she will lose money will be 4.
So, probability of win = [tex]\frac{2}{6}[/tex].
Probability of loss = [tex]\frac{4}{6}[/tex].
Thus ,
Total amount of money that she can expect to win =
[tex]\frac{2}{6}[/tex]×5 - [tex]\frac{4}{6}[/tex]×2 = [tex]\frac{1}{3}[/tex].
So, she can expect to win a total of $0.33 .
$) Craig is selling apple cider at the fall festival. He prepared 5 gallons of cider, which is equal
to 20 quarts. He sold 18 quarts. Craig wants to know the amount of cider he sold in gallons.
quarts
gallons
How many quarts are in I gailon?
The unit rate is
quarts per gallon
Answer:
Step-by-step explanation:
5 gallons to 20 qts = x gallons to 18 qts
5 x
------ = ------ cross multiply
20 18
(20)(x) = (5)(18)
20x = 90
x = 90/20
x = 4.5 <==== 18 qts is equal to 4.5 gallons
====================
20 qts to 5 gallons = 20/5 = 4 qts per gallon <==
Answer: The unit is “4” quarts per gallon
Step-by-step explanation:
Sue can paint a chair in 3 hours. Jerry can paint the same size chair in 2 1/2
hours. Working together, how long would it take them to paint 10 chairs?
Sue and Jerry, working together, will take approximately 13 hours and 39 minutes to paint 10 chairs. They combine their individual rates of painting to find a total rate together and then calculate the total time needed based on that combined rate.
Explanation:To determine how long it will take Sue and Jerry to paint 10 chairs, we first need to find out how long it takes for them to paint a single chair together. Sue can paint a chair in 3 hours, which is a rate of 1/3 chair per hour. Jerry paints a chair in 2 1/2 hours, or 5/2 hours, which is a rate of 2/5 chair per hour. Working together, their combined rate is (1/3) + (2/5) chairs per hour.
First, find the common denominator for the two fractions which is 15, and then add the rates together: (5/15) chair per hour (Sue) + (6/15) chair per hour (Jerry) = (11/15) chairs per hour together. To find the time to paint one chair, divide 1 chair by their combined rate:
1 chair / (11/15) chairs/hour = 15/11 hours to paint one chair together.
To find the time for 10 chairs, multiply the time it takes to paint one chair by 10:
(15/11 hours/chair) × 10 chairs = 150/11 hours = 13 hours and ≈ 39 minutes.
Therefore, Sue and Jerry together will take approximately 13 hours and 39 minutes to paint 10 chairs.
How is 1.2 x 1.3 = 1.56
Answer:
Step-by-step explanation:
Do the multiplication and you'll find the right answer.
What is the value for x if 8x=12x
Answer:
x=0
Step-by-step explanation:
8x=12x
12x-8x=0
4x=0
x=0/4
x=0
Roberta makes $9 an hour plus a 10.5% commission selling jewelry an hour shift in which she sells $880 worth of jewelry. How much does she earn on an 8 hr shift?
Answer:
Roberta earns $164.4 on an 8 hr shift.
Step-by-step explanation:
In one hour Roberta makes $9
So if she works for 8 hours she will be making
=> ( 9 X 8)$
=>72$
Also she earns a commission of 10.5% on selling a jewellery worth $880
So 10.5% of 880 is
=> [tex]\frac{10.5}{100}\times 880[/tex]
=> [tex] 0.105\times 880[/tex]
=> 92.4
Hence Roberta will be earning a total amount of
(72+ 92.4)
=>$164.4
ABC is similar to LMN. Also, side AB measures 5 cm, side AC measures 7 cm, and
side LM measures 35 cm.
What is the measure of side LN?
49cm Would be your answer, sorry for the late reply
Crater lake in Oregon is shaped like a circle with a diameter of about 5.5 miles. How far is it around the perimeter of crater lake?
Answer:
The perimeter of crater lake is 17.27 miles.
Step-by-step explanation:
Given as :
The shape of the lake is like a circle
The diameter of lake = d = 5.5 miles
∵ shape pf lake is circle, so the diameter of circle = d = 5.5 miles
Let The perimeter of crater lake = p miles
Now, As we know
The perimeter of circle = [tex]\pi[/tex] × diameter
the value of [tex]\pi[/tex] = 3.14
Or, p = [tex]\pi[/tex] × d
Or, p = [tex]\pi[/tex] × 5.5 miles
Or, p = 3.14 × 5.5 miles
∴ p = 17.27 miles
So, The perimeter of circle = perimeter of lake = p = 17.27 miles
Hence, The perimeter of crater lake is 17.27 miles. Answer
Regardless of the policy name, the two types of life insurance are
Answer:
Level term and decreasing term
Step-by-step explanation:
level- Death benefit stays the same during the course of the policy term.
term-death benefit drops usually in one year increments over the course of the policy term.
What x-value makes the set of ratios equivalent?
2:3=6:x
4:7=X:42
2x:48 = 3:12
12:15 Ex: 20
Answer:
1. 2:3 = 6:9
2. 4:7 = 24:42
3. 2(6):48=3:12
Step-by-step explanation:
Answer:
its B
Step-by-step explanation:
en un salón de clases se repartió 95 bolsas de dulces cada niño recibe 3 bolsas cuántos niños había en el salón
Sabemos que cada niño recibe tres bolsas, por lo que dividimos 95 entre 3 y obtenemos 31 restantes 2. Debido a esto, sabemos que hay 31 niños y nos sobran 2 bolsas.
3x + 2y = 5
X – 2y = -1
Answer:
(1, 1 )
Step-by-step explanation:
Given the 2 equations
3x +2y = 5 → (1)
x - 2y = - 1 → (2)
Adding the 2 equations term by term will eliminate the term in y, that is
(3x + x) + (2y - 2y) = (5 - 1)
4x = 4 ( divide both sides by 4 )
x = 1
Substitute x = 1 in either of the 2 equations and solve for y
Substituting in (1)
3(1) + 2y = 5
3 + 2y = 5 ( subtract 3 from both sides )
2y = 2 ( divide both sides by 2 )
y = 1
Solution is (1, 1 )
Answer: x=3 y=-2
Step-by-step explanation:
The other dude is wrong, I just did it and got
Marked wrong. It’s (3,-2)
From 1980-1990, the population of a country was increased by 20%. From 1990-2000, the population of the country was increased by 20%. From 2000-2010, the population of the country was increased by 20%. Population (in percentage) of the country from 1980-2010 was increase by
please I need a good step by step explanation I try to resolved it but I can't do it
Answer:
The % of the increase in population from 1980 to 2000 will be 72.8%
Step-by-step explanation:
Let the population in the year of 1980 was x.
If the population from 1980 to 1990 has increased by 20%, then the population in the year 1990 will be [tex]x(1 + \frac{20}{100}) = 1.2x[/tex].
Now, from 1990 to 2000, the population has again increased by 20%.
So, the population in the year 2000 will be [tex]1.2x(1 + \frac{20}{100}) = 1.44x[/tex].
Again, from 2000 to 2010, the population has increased by 20%.
Therefore, the population in the year 2010 will be [tex]1.44x(1 + \frac{20}{100}) = 1.728x[/tex].
Now, the population increased from x to 1.728x between the years 1980 to 2010.
Hence, the % of the increase in population from 1980 to 2000 will be [tex](\frac{1.728x - x}{x}) \times 100\% = 72.8\%[/tex] (Answer)
kn + 4f = 9v
solve for n
Answer:
n=(9v-4f)/k
Step-by-step explanation:
kn+4f=9v
kn=9v-4f
n=(9v-4f)/k
Answer:
n = (-4f + 9v) ÷ k
Step-by-step explanation:
All you have to do is... flip the equation
solve the simultaneous equations.
Y=5x^2 + 4x-19
Y=4x+1
Answer: x1=-2
x2=2
Step-by-step explanation:
5x²+4x-19=4x+1
5x²+4x-19-4x-1=0
5x²-20=0
5x²=20
x²=20/5
x²=4
x1=-√4=-2
x2=+√4=2
To solve the simultaneous equations, set the two equations equal to each other, simplify, solve for x, and substitute the values of x back into one of the original equations to solve for y. The solutions are (2, 9) and (-2, -7).
Explanation:To solve the simultaneous equations:
y = 5x^2 + 4x - 19
y = 4x + 1
Let's set the two equations equal to each other:
5x^2 + 4x - 19 = 4x + 1
Now, simplify and solve for x:
5x^2 + 4x - 4x - 19 - 1 = 0
5x^2 - 20 = 0
Divide both sides by 5:
x^2 - 4 = 0
Factor the equation:
(x - 2)(x + 2) = 0
Set each equation equal to zero:
x - 2 = 0 or x + 2 = 0
Solve for x:
x = 2 or x = -2
Now, substitute the values of x back into one of the original equations to solve for y:
When x = 2:
y = 5(2)^2 + 4(2) - 19
y = 20 + 8 - 19
y = 9
When x = -2:
y = 5(-2)^2 + 4(-2) - 19
y = 20 - 8 - 19
y = -7
Therefore, the solutions to the simultaneous equations are (2, 9) and (-2, -7).
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30 pts I just need someone to do either Karen or Seth's
Seth and Karen are college students who take on different jobs for income. Seth needs $750 for expenses and savings each month; Karen needs $700.
Seth has a part-time job where he earns $7.50 per hour. He also mows lawns and earns $15 per lawn that he mows. His monthly earnings can be expressed with the equation 7.50x + 15y = 750, where x is the number of hours Seth works and y is the number of lawns he mows.
Karen has a part-time job babysitting, where she earns $6 per hour. She also walks dogs and earns $4 per dog that she walks. Her monthly earnings can be expressed with the equation 6x + 4y = 700, where x is the number of hours Karen works and y is the number of dogs she walks.
1. Each partner must change the equation that represents his or her chosen college student to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
2. Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
3. Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
4. Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work, or you may use graphing technology.
Answer:
karen--173.5
Step-by-step explanation:6 - 700 would equal 694 then you would divide by 4 and then you would get one 173.5
QUESTION
4. Mickey and Minnie went to a Sabres game.
They each purchased two shirts and a $17
autographed hockey puck. If Mickey and
Minnie spent a total of $214, how much was
each shirt?
Answer:
45
Step-by step
What do we already know about the equation?
We know that they EACH bought a hockey puck($17) and 2 shirts
Half of 214 is 107. So they had to have spent 107 separately
So we make the equation and let s represent shirts
2s + 17 = 107
- 17 -17
2s= 90. DIVIDE by 2
s = 45
How many solutions does 5x-y=2 5x-y=-2 have?
Answer:
No Solution.
Step-by-step explanation:
5x-y=2
5x-y=-2
-------------
-(5x-y)=-2
5x-y=-2
----------------
-5x+y=-2
5x-y=-2
-------------
0=-4
no solution
PLEASE HELP
Find the volume of the prism.
50 yd3
250 yd3
200 yd3
20 yd3
Answer:
[tex]V=200\ yd^3[/tex]
Step-by-step explanation:
we know that
The volume of the prism is equal to
[tex]V=LWH[/tex]
where
L is the length
W is the width
H is the height
we have
[tex]L=10\ yd\\W=5\ yd\\H=4\ yd[/tex]
substitute
[tex]V=(10)(5)(4)=200\ yd^3[/tex]
Answer:
C.) 200 yd3
Step-by-step evaluation:
Step 1.) 4 x 5 = 20
Step 2.) 20 x 10 = 200
Step 3. (Final answer).) C.) 200 yd3
Explanation:
4 times 5 will equal 20 because, 4 + 4 + 4 + 4 + 4, or 5 + 5 + 5 + 5, equals 20.
20 times 10 will equal, the answer, 200 hundred because 20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 = 200, and that's our answer.
Final answer:
C.) 200 yd3