Given:
The expression is [tex]\dfrac{7}{\frac{5}{8}}[/tex].
To find:
The shows the correct way to use the rule ""multiply by the reciprocal"" for the given expression.
Solution:
According to the rule "multiply by the reciprocal", if a,b,c,d are four number, then
[tex]\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times \dfrac{d}{c}[/tex]
We have,
[tex]\dfrac{7}{\frac{5}{8}}[/tex]
It can be written as
[tex]\dfrac{7}{\frac{5}{8}}=\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}[/tex]
Using the rule "multiply by the reciprocal", we get
[tex]\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}=\dfrac{7}{1}\times \dfrac{8}{5}[/tex]
[tex]\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}=\dfrac{7\times 8}{1\times 5}[/tex]
[tex]\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}=\dfrac{56}{5}[/tex]
Therefore, the correct option is D.
Line s has an equation of y=-1/7x-10. Parallel to line s is line t, which passes through the point (9,-2). What is the equation of line t?
Answer:
y = -1/7x + 5/7
Step-by-step explanation:
The slope of a parallel line is the same as the original.
Find the new y-intercept.
y = -1/7x + b
-2 = -1/7(9) + b
-2 = -9/7 + b
5/7 = b
y = -1/7x + 5/7
Best of Luck!
What is 2/5 in decimal
Answer:
0.40
Step-by-step explanation:
2/5 equals 40/100= 0.40
marco is 6ft and 3 inches tall.there are 2.54 cenimeters in 1 inch what is marco's hight in inches
Answer:
190.5 centimeters.
Step-by-step explanation:
First you need to convert 6ft 3 inches into just inches. There are 12 inches in a foot. 12 x 6 is 72. 72 inches + 3 = 75 inches. 75 inches x 2.54 = 190.5 centimeters.
4. An attorney charges $250 for a
consultation fee plus $100 per hour of
service. How many hours did he work in
order for his total bill to be $3500?
Answer:
The attorney worked for 32.5 hours in order for his total bill to be $3,500.
Step-by-step explanation:
Let's set up an equation with some variables:
[tex]h[/tex] = hours of service
[tex]T[/tex] = total bill
[tex]T=100h+250[/tex]
Plugging in our given values, we get:
[tex]3500=100h+250[/tex]
And solving for [tex]h[/tex], the hours the attorney worked, we get:
[tex]h=32.5[/tex]
rewrite each problem so that x appears on only one side
Answer:
x = -5/21
Step-by-step explanation:
Step 1: Write equation
2(12x - 1) = (21x - 49)/7
Step 2: Solve for x
Multiply both sides by 7: 14(12x - 1) = 21x - 49Distribute 14: 168x - 14 = 21x - 49Subtract 21x on both sides: 147x - 14 = -49Add 14 to both sides: 147x = -35Divide both sides by 147: x = -5/21ASAP please help !! will give thanks and 5 stars and brainiest
Answer:
the answer is c- 1 11/12
Step-by-step explanation:
Answer:
The answer is C. 1 11/12
Step-by-step explanation:
If you subtract both numbers, that is the answer you get.
16.827 to the nearest whole.
Answer:
17
Step-by-step explanation:
We want to round 16.827 to the nearest whole number.
When we round a number to the nearest place value, we always look at the digit in the place value to its right.
Here, we're technically rounding to the nearest ones place, so look at the tenths place. It's an 8. Remember that we round up if the digit is 5-9 and round down if the digit is 0-4.
Since it's 8, we round up. Thus, 16.827 rounds up to 17.
~ an aesthetics lover
What is the solution to the equation 3(x - 1) – 2(2x + 1) = 8(x - 1)?
0 x = -1/2
0 x = 1/2
0 x = 1 /
O x= 3
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)
What is the center and radius of the circle with the following equation:
(x - 2)²+(y+1)= 9
Answer:
Center: (2,-1), Radius: 3
Step-by-step explanation:
what is latoyas error
Answer:
there are two threes. Latoya only included one of them.
Marco takes 12 mins to drive his car down the hill to the movies and 24 mins to drive up the hill from the movies he goes to the movies Monday through Friday.How many mins does he spend driving his car to and from the movies in two weeks ?Wrote an equation to model your work
Answer:
360 minutes
Step-by-step explanation:
Given that:
Driving down the hill (d) = 12 minutes
Driving up the hill (u) = 24 minutes
Days = Monday - Friday = 5days
For 2 weeks : 2 * 5 = 10
Total time taken to drive up and down daily (T) : (12 + 24) minutes = 36 minutes
For the two weeks :
10(T)
= 10(36)
= 360 minutes
Model:
Let number of days = n
Number of minutes :
n(u + d)
What are the next three terms in the sequence?
-3, 9, -27, 81, . . .
Answer:
-243
Step-by-step explanation:
the pattern is multiplying the last number by -3. (-3 * -3 = 9, 9 * -3 = -27, etc)
Answer:
234
Step-by-step explanation:
that is the enswer and it is right
If the measure of angle 2 is 48 degrees, what is the measure of angle 7?
2/5 divided by 1/6 this is dividing fractions
Answer:
exact form: 12/5
decimal form: 2.4
mixed number: 2 2/5
hope this helps :)
Step-by-step explanation:
The required solution of the given fraction divide 2/5 by 1/6 is equal to 12/5.
Given that the fraction is divide 2/5 by 1/6.
When dividing fractions, multiply the first fraction by the reciprocal of the second fraction.
To divide 2/5 by 1/6, write it as:
(2/5) ÷ (1/6)
To find the reciprocal of 1/6, flip the fraction:
Reciprocal of 1/6 = 6/1
Now, rewrite the expression as:
(2/5) × (6/1)
Multiplying the numerators and denominators gives us:
(2 × 6) / (5 × 1) = 12/5
Therefore, 2/5 divided by 1/6 is equal to 12/5.
Learn more about Fractions here:
brainly.com/question/10354322
#SPJ6
Please Help With These 4 Questions. I NEED THIS ASAP, I FORGOT TO DO IT YESTERDAY!!! The Questions Are Down Below But I Will Also Type Them Out Over Here:
1. What is 10% of 47?
A. 470
B. 47
C. 4.70
D. 37
2. What is 20% of 82? *
A. 16.4
B. 62
C. 164
3. What is 50% of 30? *
A. 15
B. 80
C. 60
4. What is 10% of 9? *
A. 90
B. 19
C. 0.9
Answer:
1) C. 4.70
2) A. 16.4
3) A. 15
4) C. 0.9
Step-by-step explanation:
I did the math, I hope this helps. (I would appreciate Brainliest)
Tom's's garden has 9 tomato plants, 5 pepper plants, 3 squash plants, and 6 pumpkin plants.
For every 3 tomato plants in Sunny's garden, there is 1 ____ plant.
Answer:
Squash plant.
Step-by-step explanation:
I'm not sure how to explain, but if you divide 9 by 3, you get 3. There are 3 squash plants, so that's the answer. You could also write it as a ratio...
9:3
3:1
I'm not exactly sure how to explain the ratio part either, but I hope it helped at least a little bit...have an amazing day :3
two consecutive even integers have a sum of 34. find the integers
Answer: 16, 18
Step-by-step explanation:
16 + 18 = 34
all of the classifications for the number -8
Answer:
:)
Step-by-step explanation:
-8 is rational, and an integer.
It is a rational number because -8 is an integer or decimal from above, and not equal to 0.
It is a integer because it is a whole number, even if it is a negative!
Southside High School has a total of 1824 students. There are 84 fewer girls at Southside than boys.
Write an expression you can use to find out how many boys, bb , there are at Southside.
How many boys are students at Southside High?
How many girls are students at Southside High?
Answer:
there is 828 girls and 966 boys at southside high school
Step-by-step explanation:
expression form:
1824/2=912
912-84=828g
912+84=996b
I checked my answer by adding
828+966= 1824 total students at southside high school
Read the statements below about the following algebraic expression:
3m +5n +4
Select ALL of the statements that are true.
5n is a term
m and n are coefficients
3m and 5n are not like terms
4 is a variable
Please help
Your answer is a because if you look at the expression none of the other are true thank me later
Step-by-step explanation:
What is AB to the nearest meter
Answer: 12m
Step-by-step explanation:12m
Answer:
12
Step-by-step explanation:
2. Sara went to the store to buy 3 apples, 1 cabbage and four, 2-Liter of sodas. She has $15.47 with her.
The apples are 89 cents each and the cabbage is $1.99 each. The 2-liter of soda is $2.99 each but on sale
for 99 cents each if you purchase 4 at one time. Sales tax is $2.24 if the total is below $10.00 and $4.24 if
the total is above $11.00. How much is the total cost of the food?
$9.43
$10.86
none of these
$14.24
Help pls I will give brainliest
Answer:
Step-by-step explanation:
Given triangle ABC with coordinates A(−2, 7), B(−2, 4), and C(−4, 3), and its image A′B′C′ with A′(2, 3), B′(−1, 3), and C′(−2, 1), find the line of reflection.
The line of reflection is at y =
Answer:
y = x + 5
Step-by-step explanation:
given an obtuse scalene triangle (∆ABC) with vertices A(-2,7), B(-2,4), and C(-4,3) (representing the preimage of the reflection). And congruent triangle (∆A'B'C') with vertices A'(2,3), B'(-1,3), and C'(-2,1) (representing the image of the reflection / triangle after the reflection).
The easiest way to look at this is by taking the inverse of each point on the preimage (swapping y and x coordinates) and the adding 5 to the y and subtracting 5 from the x to get the image.
You can test this, and you will see that this will match with vertices of the image.
Write an
equation in point-slope form of the line
through point J(-2, 2) with slope -8.
Answer: y=-8x-14
Step-by-step explanation:
See attached picture
towns p,q,r and s are shown
Answer:
?/
Step-by-step explanation:
please help me quickly the problem is on the image
Here is a story: Lin bought 4 bags of apples. Each bag had the same
number of apples. After eating 1 apple from each bag, she had 28 apples
left. What is the value of x? *
Answer:
There were 8 apples in each bag
Step-by-step explanation:
28 plus 4 is 32
32 divided by 4 is 8
there were 8 apples in each bag before she ate from each one.
when 24 is subtracted from the square of a number the result is five times a number what is the negative solution
Step-by-step explanation:
let the unknown be x
24 - x^2 = 5x
-x^2 - 5x + 24 = 0
(x - 3)(x + 8) =0
x = 3 (or) x = -8
if u wanna check
if you wanna check
24 - (-8)^2 =5(-8)
24 - 64 = -40
-40 = -40
since you ask for negative solution
x= -8 is a NUMBER
the solution is 5times of a NUMBER = -8 × 5 = -40
hope I got it right^^,good luck!
3 475 200 000 write scientific notation
PLEASE HELP