Benjamin solved the equation 3+/2=10 and justified each step as shown. Identify Benjamin’s error and fix his mistake.
3+x/2=10 GIVEN
x/2=7 MULTIPLICATION PROPERTY OF EQUALITY
x=14 SUBTRACTION PROPERTY OF EQUALITY
A farmer had 1,000 horses and cows. After selling some of them, he had 550 horses and 350 cows left. How many horses and cows did he sell altogether?
Giving who ever answers correctly over 30 points.
1: Solve for x.
x - 3/8 = - 5/8
a: x=1/4
b: x= -1/4
c: x= -1
2: Solve for x.
2x = 15 + x
a: x= -15
b: x= 15
c: x= 15/2
3: Solve for x.
x + 5 = 2x
a: x=3
b: x= -5
c: x= 5
The first one would be b,
second is b
third is c.
Hope this helps!
ShopRite has jeans on sale for 3/10 off .Save more has jeans on sale for 33% off for has a better sale on jeans?explain.
A pet store has 9 puppies and 48 kittens.
What is the ratio of kittens to puppies?
Enter your answer in simplest fractional form in the box.
The ratio of kittens to puppies is [tex]\dfrac{16}{3}[/tex].
Given:
The number of puppies is 9.
The number of kittens is 48.
To find:
The ratio of kittens to puppies.
Explanation:
The ratio of kittens to puppies is the fraction of the number of kittens and the number of puppies. So,
[tex]\text{Ratio}=\dfrac{\text{Number of kittens}}{\text{Number of puppies}}[/tex]
[tex]\text{Ratio}=\dfrac{48}{9}[/tex]
[tex]\text{Ratio}=\dfrac{16}{3}[/tex]
Therefore, the ratio of kittens to puppies is [tex]\dfrac{16}{3}[/tex].
Learn more:
https://brainly.com/question/25183457
Simplify this algebrtic expression
Z-4/4+8
You put $550 in an account that earns 4.4% simple interest per year. How much interest do you earn in 6 month
$1.21
$12.10
$121.00
$145.20
write the answer as a decimal fraction 14/100=? /10+? /100=?
To write the fraction 14/100 as a decimal fraction, divide the numerator by the denominator. The result is 0.14. Additionally, dividing any number by 100 will result in moving the decimal two places to the left.
Explanation:To write the fraction 14/100 as a decimal fraction, divide the numerator (14) by the denominator (100). 14 divided by 100 is equal to 0.14.
To find an expression as a decimal fraction, you can first convert the fractions to a decimal by dividing the numerator by the denominator.
For example, 10/100 is equal to 0.10 (10 divided by 100) and ?/100 is equal to ? (dividing any number by 100 will result in moving the decimal two places to the left).
Learn more about Converting fractions to decimal fractions here:https://brainly.com/question/11252520
#SPJ2
What number goes on top and how do you solve it.
Noah currently has an account balance of $2,976.45. He opened the account 11 years ago with a deposit of $1,963.45. If the interest compounds quarterly, what is the interest rate on the account?
Answer:
The interest rate is 3.79% or 3.8%
Step-by-step explanation:
The formula to find how much money A we have at the end of t years if we start with a principal or amount of money P today and the interest is compounded n times in the years is:
A=P(1+ r/n)^(nt) (1)
Here A = $2,976.45 the final amount
t = 11 years
P = $1,963.45.
and n = 4 because the interest is compounded quarterly or 4 times in the year.
We the need to simplify the interest rate r in (1) so:
A=P(1+ r/n)^(nt) (1)
A/P = (1+ r/n)^(nt)
(A/P)^(1/nt) = (1+ r/n)
(A/P)^(1/nt) - 1 = r/n
((A/P)^(1/nt) - 1 ) * n = r
r = ((A/P)^(1/nt) - 1 ) * n
We replace values and solve doing parenthesis exponents first
r = ((2,976.45/1,963.45.)^(1/(4*11)) - 1 ) * 4
r= ((1.51^(1/44)) -1)*4
((1.51^(1/44)) -1)*4
r= (1.009499443 - 1)*4
r= 0.009499443 *4 = 0.037997773
That expressed in percentage multiplying by 100 is 3.79% or 3.8% interest
In the diagram, m CD = 128° and m DA = 76°. What is m∠ABC?
Answer: The value of m∠ABC is 102° .
Step-by-step explanation:
Since we have given that
m CD = 128°
m DA = 76°
We need to find the m∠ABC, Angle subtended at the center is half of the sum of the measure of the arc intercepted by it.
[tex]\frac{m\ CD+m\ DA}{2}=\angle ABC\\\\\frac{128^\circ+76^\circ}{2}=\angle ABC\\\\102^\circ=m\angle ABC[/tex]
The value of m∠ABC is 102° .
A baker used 4 cups of flour to make 5 batches of brownies. He used_of a cup of flour to make 1 batch of brownies
4. Grace works from 10 to 20 hours per week while attending college. She earns $9.00 per hour. Her roommate Frances also has a job. Her pay for t hours each week is given by the function f(t)= 10t, where 5
Dr. McDonald thinks that his group of earth science students is particularly special (in a good way), and he is interested in knowing if their class average falls within the boundaries of the average score for the larger group of students who have taken earth science over the past 20 years. Because he has kept good records, he knows the means and standard deviations for both his group of 36 students and the larger group of 1,000 past enrollees. Here are the data he has, and the values for which you will need to compute the z-test
If d = 20 and C = 20π
If d = 26 and C = 26π
If r = 12 and C = π
If r = 18 and C = 14π
If r = 6 and C = 12π
If r = 50 and C = 100π
^Matches w
then d = 1
then d = 100
then d = 12
then d = 14
then r = 10
then r = 13
What goes w what!
The figure shows the letter T and four of its transformed images—A, B, C, and D. (See image.)
Which of the four images was formed by a reflection of the letter T?
A) A
B) B
C) C
D) D
I need help Simplifying!!!!!!!!!!
2x−(x+6)
find the new amount given the original amount and the percent of change. 29,000; 4% decrease
A soccer field has an area of 7/8 square miles. The length of the field is 2/5 miles. What is the width of the soccer field?
Answer: The answer is 35/16 miles
Step-by-step explanation: I have my ways ;>
math question down below
How do you write 1/10 in percent
Please help me!! This is due by 11.59pm. Please show how you got the answer. I got $270.
What is the sum of the geometric sequence −4, 24, −144, … if there are 7 terms?-159,964
−26,661
26,661
159,963
Answ
-159,964
Step-by-step explan
I got it right on the test
The angles of a quadrilateral are 140, 80, 60, and 80
What type of quadrilateral could it be?
Set up an equation that can be used to solve the problem. Solve the equation and determine the desired value.
At a boating and sports store, the cost of renting a personal watercraft is $53 per half hour, which includes a 6% sales tax. Determine the cost of a half hour rental before tax.
The equation is ?. The cost of a half hour rental is $? Per half hour.
Type an equation using x as the variable.
The formula f= n/4 + 37 estimates the temperature F in degrees Fahrenheit when crickets chirp n times per minute. Use the formula to estimate the
temperature when n = 75 chirps/min. Round to the nearest whole number, if necessary.
a) 52mc009-4.jpg
b) 53mc009-3.jpg
c) 56mc009-5.jpg
d)58mc009-2.jpg
Answer:
56°F
Step-by-step explanation:
Given : The formula[tex]F = \frac{n}{4} + 37[/tex]estimates the temperature F in degrees Fahrenheit when crickets chirp n times per minute.
To Find: Use the formula to estimate the temperature when n = 75 chirps/min.
Solution:
Formula : [tex]F = \frac{n}{4} + 37[/tex]
Where F in degrees Fahrenheit when crickets chirp n times per minute.
Now we are supposed to substitute n = 75
So, [tex]F = \frac{75}{4} + 37[/tex]
[tex]F = 55.75[/tex]
Hence the temperature is 56°F when n = 75 chirps/min.
the tempura temperature halfway to the sun from mercury is aproxamently 1,800 Celsius and scientist theorize that it may be 26,000 times hotter at the center of the sun. aproxamently how hot is the center of the sun
Final answer:
Using the given approximation, the temperature at the Sun's core would be 46,800,000 degrees Celsius. However, scientific data indicates that the accurate temperature is 15 million degrees Celsius, due to nuclear fusion processes occurring at the core.
Explanation:
If the temperature halfway to the Sun from Mercury is approximately 1,800 Celsius and scientists theorize that it may be 26,000 times hotter at the center of the Sun, we can calculate the temperature at the center by multiplying 1,800 Celsius by 26,000. This gives us an estimated temperature of the sun's core at 46,800,000 degrees Celsius. However, according to scientific data, the temperature near the center of the Sun is thought to be around 15 million degrees Celsius (1.5 ×[tex]10^7[/tex] °C) or kelvin, which is much more accurate than the extrapolation from the original question.
Mercury's proximity to the Sun accounts for its high surface temperatures, but without a significant atmosphere, the temperatures fluctuate dramatically between day and night. At the Sun's core, however, the temperatures reach extremes due to nuclear fusion, which releases vast amounts of energy and maintains the central temperature around 15 million degrees Celsius.
do any of the points below fall on the linear equation shown. Please show work
is 5 factor of the number 38 yes or no
Find the outlier in the data: 38, 38, 18, 28, 36, 30, 39, 32. How does the outlier affect the mean? If necessary, round to the nearest tenth. 43; raises it by 1.5. 18; lowers it by 2. 43; lowers it by 1.5. 18; raises it by 2.