What is the measure of ∠DEG?
A) 133°
B) 103°
C) 77°
D) 67°
Mark and Jill each have a $6500 loan with a loan term of 4 years. The interest rate on Mark’s loan is 3% and the interest rate on Jill’s loan is 4%. Mark’s monthly payment is $144 and Jill’s monthly payment is $147. How much more in interest will Jill pay than Mark?
A.
$144
B.
$412
C.
$556
D.
$968
how to slove this more complex negative exponent problem?
When an expression or a number is raised to the negative exponent, you have to reciprocate the expression or the number.
In this problem, the expression is raised to the power of -2
Therefore, the expression would become like this after reciprocating:
1/ (3x^2) ^2
Simplifying the expression:
1/ 9x^4
I’m not sure if I’m doing this right :/
A rectangle has a perimeter of 24 feet‚ the width of the rectangle is 3ft. what is the length
A right rectangular prism has a length of 6 cm, a width of 8 cm, and a height of 4 cm. The dimensions of the prism are halved.
What is the volume of the reduced prism?
Enter your answer in the box.
_cm³
Just #10 please!! Due soon too!!
Find the unit rate.
625 revolutions in 223 seconds
The unit rate is ___
revolutions per second.
Step-by-step explanation:
Noah bought 1/2 pound of candy to share with his friends.They ate 3/8 pound of the candy.How much candy does Noah have left?
Total pound of candy with Noah = [tex] \frac{1}{2} [/tex]
Total pound of candy eaten by his friends = [tex] \frac{3}{8} [/tex] of [tex] \frac{1}{2} [/tex]
= [tex] \frac{3}{8} \times \frac{1}{2} [/tex]
= [tex] \frac{3}{16} [/tex]
Pound of candy left with Noah = [tex] \frac{1}{2} - \frac{3}{16} [/tex]
= [tex] \frac{8-3}{16} [/tex]
= [tex] \frac{5}{16} [/tex] pound
Therefore, [tex] \frac{5}{16} [/tex] pound of candy is left with Noah.
Two similar parallelograms have areas of 18 in2 and 32 in2. Find the ratio of their perimeters.
Solve – 4y – 3 + 3y = 8 – 2y – 15 interpret the results
Find the value of x.
A) x = 60
B) x = 59
C) x = 121
D) x = 177
A chess team has 26 members. However, only 16 members attended the last meeting: half of the girls attended but all of the boys attended. How many boys are on the chess team?
Answer:
6 boys
Step-by-step explanation:
if all the boys(x) were at the meeting but only half the (y), you would have two equations : x+y=26 and x+y/2 = 16. Solving the system gives you 6 boys 20 girls.
Alyssa works as a sales representative in an electronics store. She earns a fixed daily wage plus a commission on the sales she makes. The table shows her earnings based on the amount of sales she makes in a day.
Total Sales ($) Daily Earnings ($)
0 80
200 110
500 155
800 200
1,200 260
The equation that gives Alyssa's daily earnings based on her total sales is_____ .
When this data is plotted on a graph with a line connecting all the points, the y-intercept of the line represents _______ and the slope of the equation represents .
In this scenario, the y-intercept is________ .
fill in the blanks
here are the answer choices for the 1st one y=1.5x+80
y=0.
Answer: the same as the other person is righti
Step-by-step explanation:
How would six billion, nine hundred thirty-six thousand, fourteen be written in standard form? A.693,614B.6,936,014C.6,000,936,014D.6,936,000,014
One number is bigger than another by 406. If the bigger number is divided by the smaller one, you’ll get the quotient 3 and remainder 66. Find the numbers.
To find the numbers, we can set up a system of equations and solve it using substitution.
Explanation:To find the numbers, we can set up a system of equations based on the given information. Let's call the bigger number 'x' and the smaller number 'y'. We know that x is bigger than y by 406, so we can write the equation x = y + 406. We also know that when x is divided by y, the quotient is 3 and the remainder is 66. This can be expressed as the equation x = 3y + 66.
We can solve this system of equations by substitution. First, we substitute the expression for x from the first equation into the second equation:
3y + 66 = y + 406
Next, we can subtract y from both sides of the equation:
2y + 66 = 406
Then, we subtract 66 from both sides:
2y = 340
Finally, we divide both sides by 2 to solve for y:
y = 170
Now we can substitute the value of y back into the first equation to find x:
x = 170 + 406 = 576
Therefore, the numbers are 576 and 170.
Learn more about Solving Systems of Equations here:https://brainly.com/question/29050831
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a car is travelling at x kilometres per hour find the cars speed, in terms of x in metres per second give your answer in its simplest form
To convert a car's speed from kilometers per hour (x km/h) to meters per second, divide x by 3.6. This is because there are 1,000 meters in a kilometer and 3,600 seconds in an hour, leading to the simple formula: x / 3.6 m/s.
Explanation:To find the car's speed in meters per second (m/s) when it is traveling at x kilometers per hour (km/h), we need to convert km/h to m/s. There are 1,000 meters in a kilometer and 3,600 seconds in an hour. So, to convert from km/h to m/s, we use the conversion factor 1 km = 1,000 m and 1 hour = 3,600 seconds.
The formula to convert x km/h to m/s is: x \(\times\) 1,000 m / 3,600 s. Simplifying this, we get:
x \(\times\) 1,000 / 3,600 = x / 3.6 m/s.
Therefore, if a car is traveling at x kilometers per hour, its speed in meters per second is x / 3.6 m/s in its simplest form.
what is (x-5)(x-3)=10 as a quadratic equation
What is the Median Q1 ,Q3 and IQR of 80,90,95,85,70
Answer:
17.5
Step-by-step explanation:
70, 80, 85, 90, 95
Median: 85
Lower quartile: 75
Upper quartile: 92.5
Interquartile range: 92.5 - 75 = 17.5
If 14 over 3 equals x over y to the second power than 14 over x equals
how do you find the ratio of 40:28
Is the sum of 3√2 and 4 √2 rational or irrational? Explain your answer.
Sum of 3√2 and 4√2 is an irrational number.
What are irrational numbers?" Irrational numbers are those numbers which cannot be written in fraction or rational form."
According to the question,
Suppose 3√2 + 4√2 be a rational number.
which can be expressed in form of (p / q) form such that 'q' does not divides 'p'
3√2 + 4√2 = (p / q)
⇒ 7√2 = ( p / q)
Squaring both the sides we get,
49 × 2 = ( p² / q² )
⇒ 2 ×(49q²) = p²
⇒ p is an even number
⇒p = 2k , k≠0
Therefore,
2 × ( 49q²) = (2k)²
⇒2×(49q²) = 4k²
⇒q² = (2k² / 49)
Both p and q are even which implies 'q' divides 'p'.
It is contradictory to our supposition,
Therefore, 3√2 + 4√2 is an irrational number.
Learn more about irrational number here
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Jack is sharing 3 bananas with 3 Friends. Which expression represents the amount each one will get if they share them equally?
a line's y-intercept is 0, and its slope is 6/5. what is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
If L
is 30
units long and W
is 10
units long, how long is the diagonal to the nearest tenth?
Answer:
Step-by-step explanation:
(4x)^-2 (4x)^3(4x)^9= (4x)
The answer is 4x to the 10th power
Emma created the poster shown below: A rectangle is shown. The length of the rectangle is labeled as length equal to 36 cm, and the width is labeled as width equal to 24 cm. What would be the dimensions of the poster at fraction 1 over 4 times its current size? Length = 32 cm, width = 20 cm Length = 40 cm, width = 28 cm Length = 144 cm, width = 96 cm Length = 9 cm, width = 6 cm
Answer:
Length = 9 cm, width = 6 cm
Step-by-step explanation:
If the length of the rectangle is labeled as length equal to 36 cm, and the width is labeled as width equal to 24 cm.
Length = 36cm
Width = 24cm
One fourth the current size of the rectangle will be;
New length= 1/4×36 = 9cm
New width = 1/4 × 24 = 6cm
The new dimension of the poster is therefore 9cm×6cm
Length = 9cm
Width = 6cm
10 times as much as 0.5 is
What should be added to 3 to make the sum of 0?
Candy is at the balloon shop and sees that 10 balloons cost 0.15 he needs 50 balloons to decorate his room how much will 50 balloons cost?