how to solve these
1. 8/2 * 6
2. 5/2 * 7
3. 7/2 * 1
1. 8/2 * 6
We multiply the numerator with the whole number and then simplify the fraction.
8 *6 = 48. then divide by 2 gives us 24
[tex]\frac{8}{2} * 6= \frac{48}{2}=24[/tex]
2. 5/2 * 7
We multiply the numerator with the whole number and then simplify the fraction.
5 times 7 = 35
[tex]\frac{5}{2} * 7= \frac{35}{2}[/tex]
3. 7/2 * 1
We multiply the numerator with the whole number and then simplify the fraction.
7 times 1 =7
[tex]\frac{7}{2} * 1= \frac{7}{2}[/tex]
Question 1. 8/2 * 6
Solution:
8/2 * 6 = 48/2 = 24
Answer of question 1 is 24.
Part 2.Question 2. 5/2 * 7
Solution:
5/2 * 7 = 35/2 = 17.5
Answer of question 2 is 17.5.
Part 3.Question 3. 7/2 * 1
Solution:
7/2 * 1 = 7/2 = 3.5
Answer of question 3 is 3.5.
Can someone explain how to answer this? Thanks in advance.
Alright, so before we can answer this problem we need to go over some basics! For this problem, you'll need to know:
The Triangle Sum theorem states that the interior angles of every triangle must add up to 180 degrees.
Also, corresponding angles are angles that have the same relative position when 2 lines intersect. Therefore, angle I and angle K are corresponding (and as an example, angle J and angle H are corresponding). When lines are parallel (Line HI and Line JK), corresponding angles are equal.
Now that we've covered that, we can use that information to find x!
Let's start with finding angle I since we know it'll be equal to angle X. We also now know that angle H + angle A + angle I = 180. So, plug it in.
56 + 66 + I = 180.
122 + I = 180
Then subtract on both sides:
I = 58.
Since I = X we now know that angle x = 58 degrees.
if you borrow $5,000 to remodel a home at 5% interest rate, what is the principal?
$5,000
$5
$5,250
5%
you would end up paying $4,750
but the answer is A) $5000
mark brainliest please it would help alot
:)
Answer:
The principal would be $ 5000.
Step-by-step explanation:
Since, the principal is the initial amount of a loan or we can say that the borrowed amount is called principal amount of a loan,
Given,
$5,000 was borrowed to remodel a home at 5% interest rate,
Thus, the borrowed amount = $ 5000
⇒ Principal amount = $ 5000
Hence, first option is correct.
ratios are great am I right
Answer:
3)198
4)3:4
Step-by-step explanation:
3)
144/8= 18
3*18= 54
144+54= 188
4)
18/2=9
9*3=27
27-3=24
18:24 = 3:4
What is -14+6b+7-2b=1+5b show your work
-14+6b+7-2b=1+5b
step 1: simplify the equation
-7+4b=1+5b
step 2: collect your variables
-7=1+b
step 3: collect your whole numbers
-8=b
Which statement about the equation is true? x + 2 = x + 4
A.The equation has no solution.
B.The equation has one solution.
C.The equation has infinitely many solutions.
Answer:
The answer would be UNSOLVABLE
this is true because there is no way they can equal the same number
Hope this helped:)
Step-by-step explanation:
A company did a quality check on all the packs of trail mix it manufactured. Each pack of trail mix is targeted to weigh 9.25 oz. A pack must weigh within 0.23 oz of the target weight to be accepted. Find the absolute value inequality that describes the situation and solve it to find the range of rejected masses, x.
|x − 0.23| + 9.25 > 0; x < 9.02 or x > 9.48
|x − 9.25| > 0.23; x < 9.25 or x > 9.48
|x − 0.23| + 9.25 > 0; x < 9.25 or x > 9.48
|x − 9.25| > 0.23; x < 9.02 or x > 9.48
Each pack of trail mix is targeted to weigh 9.25 oz.
A pack must weigh within 0.23 oz of the target weight to be accepted.
Let the weight of the pack x
The range of accepted weight will be as following:
∴ 9.25 - 0.23 < x < 9.25 + 0.23
subtract 9.25 from all sides
∴ -0.23 < x - 9.25 < 0.23
which can be written as ⇒⇒⇒ | x - 9.25 | < 0.23
So, the rejected weight is the inverse of that inequality.
∴ The absolute value inequality for the rejected weight range is:
| x - 9.25 | > 0.23
=====================================
So, the range of rejected masses: x < 9.02 OR x > 9.48
HELP ME PLEASE !!!!
Sarah is 5 feet and 2 inches tall. What would her height be in centimeters?
(1 foot = 12 inches)( 1 inch = 2.54 centimeters)
A.24.409 centimeters B.
65.08 centimeters
C. 157.48 centimeters
D. 158.496 centimeters
For this one, an easy way to solve it is to break it down into parts. First lets convert 5 feet to inches.
Multiply the number of feet by how many inches are in one foot.
5 times 12= 60 in
Now just add the like terms
60 in + 2 in= 62 inches.
Now we see that Sarah is 62 inches tall, now we can convert to centimeters the same way.
62 times 2.54= 157.48
So that makes C your answer, Sarah is 157.48 cm tall.
Final answer:
To convert Sarah's height to centimeters, multiply her total height in inches (5 feet and 2 inches, which is 62 inches) by 2.54 cm/inch to get 157.48 centimeters. So, the correct answer is option C, 157.48 centimeters.
Explanation:
To convert Sarah's height from feet and inches to centimeters, you start by converting each measurement to inches, and then convert the total number of inches to centimeters. Sarah is 5 feet and 2 inches tall. One foot is equal to 12 inches, so first we convert her height in feet to inches: 5 feet × 12 inches/foot = 60 inches. Then, add 2 inches to this to get her total height in inches: 60 inches + 2 inches = 62 inches.
Now, convert inches to centimeters using the conversion factor 1 inch = 2.54 centimeters: 62 inches × 2.54 cm/inch = 157.48 centimeters. Therefore, the correct answer is C.
Show your work and solve
Hello again,
You multiply 53 beats to 5 seconds: 53 x 5 = 265
hope that helps :)
It takes 1 cup of a liquid fertility to make 7 1/2 gallons of spray. How much liquid fertilizer Ian needed to make 80 gallons of spray?
it would take 10 3/5 cups of liquid fertilizer
By setting up a proportion and solving, we find that it takes approximately 10.67 cups of liquid fertilizer to make 80 gallons of spray.
Explanation:The problem deals with a simple rate, or ratio. In this case, the rate is 1 cup of fertilizer per 7.5 gallons of spray. We need to find out how much fertilizer is needed for 80 gallons of spray.
To do this, we need to set up a proportion. On one side of the equation, we'll have the original ratio (1 cup fertilizer : 7.5 gallons spray). On the other side, we'll set up a ratio with the quantity we're trying to find (x cups fertilizer : 80 gallons spray).
So, our equation looks like this:
1 cup / 7.5 gallons = x cups / 80 gallons
To solve for x, we can cross-multiply:
1 cup * 80 gallons = x cups * 7.5 gallons
Which simplifies to:
80 = 7.5x
To isolate x, we divide both sides of the equation by 7.5:
x = 80 / 7.5
Through this, we get that it takes approximately 10.67 cups of liquid fertilizer to make 80 gallons of spray.
Learn more about Proportions here:https://brainly.com/question/34018947
#SPJ2
a ratio of two equivalent measures giving in different units is a ________
Answer:
"conversion factor"
Step-by-step explanation:
Answer:
Conversion factor.
Step-by-step explanation:
A conversion factor may be a ratio of two proportionate measures in completely different units.
Help me 15 points on the line
How many fractions are there between any two numbers on a number line?
A.5
B.20
C.100
D.an infinite number
Answer:
There are an infinite number of fractions in between numbers on a number line.
Step-by-step explanation:
The reason for this is because we have an infinite number of denominators to use. Therefore, we can not number the amount we use.
Answer:
Infinite number
Step-by-step explanation:
Joy makes 6.5 litres of soup correct to the nearest 0.5 litre. She serves the soup in 280 ml portions, correct to the nearest 10 ml. 22 people order this soup. Does Joy definitely have enough soup to serve 22 people?
Answer:
Joy definitely does have enough soup for 22 people.
Step-by-step explanation:
Upper Bound: 285ml turn it to 0.285 L 10÷2=5
280ml
Lower Bound: 275ml turn it to 0.275 L
Upper Bound: 6.75 L 0.5÷2=0.25
6.5 Litters
Lower Bound:6.25 L
6.75÷0.275=24.54 or 25
6.25÷0.285=21.92 or 22
22≤x<25 Joy definitely does have enough soup for 22 people.
The measurement uncertainty in the question gives the range within
which the true value of the given measurement can be found.
Yes, Joy definitely has enough soup to serve 22 people.
Reasons:
Volume of the soup Joy makes = 6.5 L ± 0.5 L = 6,500 mL ± 500 mL
Volume of soup per serving = 280 mL ± 10 mL
Number of people that order the soup = 22 people
Required:
If soup made is enough for 22 people
Solution:
The uncertainty in measurement, u, is expressed as follows;
X ± u
X - u ≤ True value ≤ X + u
Therefore;
Total volume ordered, V₀ = 22 × (280 ± 10) mL = 5,940 mL ≤ V₀ ≤ 6380 mL
The volume of soup made range is given as follows;
(6,500 - 500) mL ≤ M₀ ≤ (6,500 + 500) mL
Which gives;
6,000 mL ≤ M₀ ≤ 7,000 mL
The minimum amount of soup required to serve 22 people = 5,940 mL
The minimum amount of soup Joy makes = 6,000 mL
Therefore, Joy definitely has enough soup to serve 22 people.
Learn more here
https://brainly.com/question/13436423
Is this correct??please tell me
7(4n-6)= - 182
28n-42= -182
+42 +42
28n/28= -140/28
n= -5
This is incorrect, 7x4n=28n and -7x6=-42. There is no way to get -182.
What is the value of t?
3.5(t+6)=7
A. −4
B. −0.25
C. 0.25
D. 4
3.5(t+6)=7
Use Distributive Property:
3.5t + 21 = 7
Subtract 21 from both sides:
3.5t = -14
Divide both sides by 3.5:
t = -14 / 3.5
t = -4
The answer is A.
To solve for the value of t in the equation 3.5(t+6)=7, we divide both sides by 3.5 and then subtract 6 from both sides, resulting in t = -4.
To find the value of t, we need to solve the equation 3.5(t+6)=7. To do this, we start by dividing both sides of the equation by 3.5 to isolate the t term:
3.5(t+6) / 3.5 = 7 / 3.5t + 6 = 2Next, we subtract 6 from both sides to solve for t:
t + 6 - 6 = 2 - 6t = -4Therefore, the value of t is -4, which corresponds to option A.
mr ramos thumb measures 4 cm. Express this length in meters
Hello There!
Mr. Ramos thumb measures 0 meters. 100cm=1m
the amount of medicine in Elizabeth blood is modeled by the function M(t)= -t2+10t where t is the number of hours of
We are given function : [tex]M(t)=-t^2+10t[/tex], where t is the number of hours of after she takes the madicine.
We need to find, how many hours after Elizabeth takes her madicine is the amount of madicine in her blood is highest.
Note: The given function is a quadratic function and a quadratic function represents a parabolic shape.
The highest point on the parabola is the vertex of the parabola.
The x-coordinate of the vertex of the parabola would represent the number hours after Elizabeth takes her madicine is the amount of madicine in her blood is highest.
We know, x-coordinate of the vertex = [tex]\frac{-b}{2a}[/tex]
For the given quadratic function a= -1 and b=10.
Plugging values of a and b in x-coordinate of the vertex formula, we get
[tex]\frac{-10}{2(-1)}=\frac{-10}{-2}=5[/tex]
Therefore, after 5 hours Elizabeth takes her madicine is the amount of madicine in her blood is highest.
The length of a rectangle is three times it’s width. It’s area is 75 inches squared. Find the length and width of the rectangle
The answer is 225 because 75x3 =225
Final answer:
The length of the rectangle is 15 inches and the width is 5 inches, determined by setting up an equation using the given conditions that the area is 75 square inches and the length is three times the width.
Explanation:
The question asks us to find the length and width of a rectangle given that the length is three times the width and the area of the rectangle is 75 square inches. To solve this, let's denote the width of the rectangle as w inches. The length would then be 3w inches since it is three times the width. The area of a rectangle is found by multiplying the length and width, so we can write the equation:
Area = length × width
75 = 3w × w
To find the width (w), we need to solve the quadratic equation:
w² × 3 = 75
w² = 75 / 3
w² = 25
To find w, we take the square root of 25, which gives us:
w = 5 inches
Now that we have the width, we can easily find the length by multiplying the width by 3:
Length = 3 × 5
Length = 15 inches
Therefore, the width of the rectangle is 5 inches and the length is 15 inches.
what percent of 80 is 10
I believe that the answer is 12.5%
Reason 100% of 80= 80,
So if 80=100%,
then that means 10=x%
Fore it means that, [tex]x=(\frac{10}{80} )*100[/tex]%=12.5%
Answer:
Let the required percentage be x%.
Atq,
[tex] \: \: \: \: \: \: \: x\% \: of80 = 10 \\ = > \frac{x}{100} \times 80 = 10 \\ = > \frac{4x}{5} =1 0 \\ = > 4x = 5 \times 10 \\ = > x = \frac{5 \times 10}{4} \\ = > x = \frac{5 \times 5}{2} \\ = > x = \frac{25}{2} \\ = > x = 12.5[/tex]
Hence, required percentage = 12.5%
How much is 6 yards in inches
36*6= 216 inches in a yard
how many lines of symmetry are there in a regular decagon
Answer: In a regular decagon, there are 10 lines of symmetry.
Step-by-step explanation:
Line of symmetry divides a figure into two equal halves so that if you flip the half image over the line of symmetry , the figure will look unchanged.
A regular decagon has 10 vertices and 10 edges.
To draw line of symmetry :
1.Draw lines to meet the exactly opposite point [shown by red color in the picture attached with the answer].
∴ 10 vertices will form 5 lines of symmetry.
2.Draw lines from the mid points of all the edges to the midpoint of the exactly opposite edge [shown by blue color in the picture attached with the answer].
∴ 10 edges will form 5 lines of symmetry.
⇒Total lines of symmetry in a decagon =5+5= 10
there are 500 sheets of paper in a book. Each sheet is 0.01 cm thick. The book's front and back cover are each 0.1 cm thick. what is the total thickness of the book and its cover?
500*0.01+0.1*2=
5+0.1*2=
5+0.2=
5.2 cm thick.
I hope this helped!
The total thickness of the book, including its front and back covers, is calculated to be 5.2 cm.
The question asks for the total thickness of a book including its covers. The calculation combines the thickness of 500 sheets of paper and the front and back covers. Here is a step-by-step breakdown:
Thickness of one sheet: 0.01 cm
Total thickness of all sheets: 500 sheets imes 0.01 cm/sheet = 5 cm
Thickness of one cover: 0.1 cm
Total thickness of both covers: 2 covers imes 0.1 cm/cover = 0.2 cm
Total book thickness: 5 cm (sheets) + 0.2 cm (covers) = 5.2 cm
Therefore, the total thickness of the book with its covers is 5.2 cm.
11 ≤ p + 5 (inequalities)
20 POINTS
Which answer best describes the complex zeros of the polynomial function?
f(x) = x^3 + x^2 − 8x − 8
(A) The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly one location.
(B) The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly two locations.
(C) The function has three real zeros. The graph of the function intersects the x-axis at exactly three locations.
(D) The function has two real zeros and one nonreal zero. The graph of the function intersects the x-axis at exactly one location.
answer : option C
[tex]f(x) = x^3 + x^2 - 8x - 8[/tex]
Lets find the number of zeros by factoring
[tex]0 = x^3 + x^2 - 8x - 8[/tex]
Group first two terms and last two terms
[tex]0 = (x^3 + x^2) (- 8x - 8)[/tex]
Factor out GCF from each group
[tex]0 = x^2(x + 1)-8(x + 1)[/tex]
[tex]0 = (x^2-8)(x + 1)[/tex]
Now we set each factor =0 and solve for x
0 = (x^2-8) and (x + 1)=0
[tex]x^2 = 8[/tex] and x = -1
[tex]x= 2+-\sqrt{2}[/tex] and x= -1
So we have three real zeros
The function has three real zeros. The graph of the function intersects the x-axis at exactly three locations.
Which of the following is an example of a run-on sentence?
7 + 7 + (–1) =
Run on sentences is a sentence that doesn't have proper punctuation
Ex: I love to write papers I would write one every day if I had the time.
this is a run-on sentence because you need a comma or a period between them.
7 + 7 = 14, 14 - 1 = 13
hope this helps :)
Answer: 13
Step-by-step explanation:
[tex]14+(-1)[/tex] Add [tex]7[/tex] to [tex]7[/tex]
[tex]14-1[/tex] Take the parentheses off
[tex]13[/tex] Subtract [tex]14[/tex] to [tex]1[/tex]
Additional Information: A runoff sentence is where a sentence have no cut off and continues.
Example: I have a car and the car has black on it and is very shiny with a clean engine and more and it can drive very fast.
*This is an example more examples can vary*
I need help on this question
Because they were flipped and turned
Solve (-16.1)•9.4•(-7.2)=x•(-7.2)•(-16.1)
Hey there! :)
Answer: x = 9.4
Step-by-step explanation : How do we know this? Well, let's first rewrite our question.
(-16.1) · 9.4 · (-7.2) = x · (-7.2) · (-16.1)
Let's multiply everything out.
(-16.1 · 9.4 · -7.2) = (x · -7.2 · -16.1)
Simplify.
1089.648 = 115.92x
Our goal is to isolate x, so we should divide both sides by 115.921089.648 ÷ 115.92 = 115.92x ÷ 115.92
Simplify.
9.4 = x
So, our final answer is x = 9.4
~hope I helped!~
Answer: x = 9.4
Step-by-step explanation : How do we know this? Well, let's first rewrite our question.
(-16.1) · 9.4 · (-7.2) = x · (-7.2) · (-16.1)
Let's multiply everything out.
(-16.1 · 9.4 · -7.2) = (x · -7.2 · -16.1)
Simplify.
1089.648 = 115.92x
Our goal is to isolate x, so we should divide both sides by 115.921089.648 ÷ 115.92 = 115.92x ÷ 115.92
Simplify.
9.4 = x
So, our final answer is x = 9.4
~hope I helped!~
PLEASE HELP ME WITH THESE FOUR QUESTIONS TYSMMM!!! THANK YOU
Find the value of x that makes m || n
Answer:
[tex]107^\circ, 133^\circ, 20^\circ, \text{and}, 23^\circ[/tex]
Step-by-step explanation:
9. For the lines 'm' and 'n' to be parallel the sum of interior angles should be 180 degrees that is:
[tex]x+73^\circ=180^\circ[/tex]
[tex]x=107^\circ[/tex]
10. For the lines 'm' and 'n' to be parallel the alternate exterior angles should be equal that is:
[tex]147^\circ=x+14^\circ[/tex]
[tex]x=147^\circ-14^\circ[/tex]
[tex]x=133^\circ[/tex]
11. For the lines 'm' and 'n' to be parallel alternate angles should be equal that is:
[tex]180^\circ-3x=2x+20^\circ[/tex]
Solving for 'x' we get:
[tex]180^\circ-20^\circ=3x+2x[/tex]
[tex]5x=160^\circ[/tex]
[tex]x=32^\circ[/tex]
12. For the lines 'm' and 'n' to be parallel corresponding angles should be equal that is:
[tex](7x-11)^\circ=(4x+58)^\circ[/tex]
[tex]7x-4x=58^\circ+11^\circ[/tex]
[tex]3x=69^\circ[/tex]
[tex]x=\frac{69}{3}=23^\circ[/tex]
Find 3 consecutive odd integers such that the sum of the smallest number and the middle number is 27 less than 3 times the largest number
Let consecutive odd numbers be
x , x+2 , x+4
Smallest number =x
Middle number =x+2
Largest number =x+4
According to condition (x) +(x+2) -27 = 3(x+4)
x+x+2-27= 3(x+4)
2x-25= 3x+12
Subtracting 2x and 12 both sides
2x-25-2x-12=3x+12-2x-12
-37= x this is smallest odd number.
Other two odd numbers are (x+2)= (-37+2)=(-35)
& (x+4)=(-37+4)=(-33)
so three consecutive odd numbers are -37 ,-35 , -33
Which is the correct classification and decimal expansion of 5/8
5/8 to decimal= .625
Hope this helps!
rational number can be represented by a fraction with an integer numerator and integer denominator. An irrational number cannot.
0.625 = 625/1000 so it is rational.
hope this helps!