Given:
In a number, adding [tex]1\dfrac{3}{4}[/tex], then multiplying the result by [tex]2\dfrac{2}{11}[/tex] we get 8.
To find:
The unknown number.
Solution:
Let the unknown number be x.
According to the question,
[tex](x+1\dfrac{3}{4})\times 2\dfrac{2}{11}=8[/tex]
[tex](x+\dfrac{1\times 4+3}{4})\times \dfrac{2\times 11+2}{11}=8[/tex]
[tex](x+\dfrac{4+3}{4})\times \dfrac{22+2}{11}=8[/tex]
[tex](x+\dfrac{7}{4})\times \dfrac{24}{11}=8[/tex]
Multiply both sides by [tex]\dfrac{11}{24}[/tex].
[tex]x+\dfrac{7}{4}=8\times \dfrac{11}{24}[/tex]
[tex]x+\dfrac{7}{4}=\dfrac{11}{3}[/tex]
Subtract [tex]\dfrac{7}{4}[/tex] from both sides.
[tex]x=\dfrac{11}{3}-\dfrac{7}{4}[/tex]
[tex]x=\dfrac{44-21}{12}[/tex]
[tex]x=\dfrac{23}{12}[/tex]
[tex]x=1\dfrac{11}{12}[/tex]
Therefore, the required number is [tex]1\dfrac{11}{12}[/tex].
Are the following ratios equivalent? Explain.
2:10
6:60
Answer:
No
Step-by-step explanation:
it would 12:60
6x2=12
6x10=60
Answer:
they are not equivalent
Step-by-step explanation:
7 : 35
12 : 60
17 : 85
22 : 110
hear are ratios that are equivalent to 2:10
Angle Pairs Relationships HW
Accessibility Mode
Pictures above
Find the value of each variable
1. A= ?
B= ?
C=?
2. A=?
3. A=?
B=?
C=?
Answer:
Step-by-step explanation:
1. A = 68
B = 112
c = 68
2. A = 127
3. A = 70
B = 55
C = 25
Kalon has $175 and needs to save at least $700 for a new computer. If he can save $35 per week, what is the minimum number of weeks Kalon will need to save to reach his goal?
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
good luck on your assignment
answer both please :))))
Answer:
Y-intercept (0,4)
X-intercept (0,2)
Step-by-step explanation:
It the point where the line crosses the y or x intercept
the equation for the graph
Y=mx+b
Hope this helps, brainliest pls!
Help!!!!!!!!! Quick!!!!!
Answer:
<A obtuse
<B acute
<C obtuse
<D right
Step-by-step explanation:
C. How can you tell by just looking at the coefficients of -2x2 and 2x2 that the terms will add to zero?
Answer:
-2x^2 + 2x^2 is equal to zero, -2+2=0 the negative 2 cancels the positive 2
Step-by-step explanation:
If the height of a mountain erodes away by a total of
1 cm in 5 years and it decreased by the same
amount each year, then what is that change in
height every year?
2x+y=10 Find one non solution and solution. EXPAIN plz help i have a timed test ill make brainliest.
Answer:
x=20-y
y=20-x
Step-by-step explanation:
divide by 2 on both sides: x+y=20
to find x, subtract y:
x=20-y
to find y, subtract x:
y=20-x
nothing else can be done unless you know either y or x.
what is the domain?
Answer:
[-5,5]
Step-by-step explanation:
Noah Beck starred as Dixie D'Amelio's love interest in her "Be Happy" music video.
Since then, the pair has revealed that they are dating.
Apparently, though, Noah wasn't even originally going to be cast in the video.
Imagine if Noah Beck and Dixie D'Amelio never kissed in the "Be Happy" music video? Where would we be now? Would the pair still be secretly dating?? Well,
YES U CAN TAKE THE POINTS
Answer:
yes my answer is yes kind sir
Answer:
They are so cute, i ship Doah so muchhh
Step-by-step explanation:
Divide. Write the quotient in lowest terms.
2 3/4 divided by 3
David made an error when determining the product of (–2.5)(–8.3). Step 1: (–2.5)(–8.3) = (–8.3)(–2.5) Step 2: = (–8.3)(–2) + (–8.3)(–0.5) Step 3: = (–16.6) + (–4.15) Step 4: = –20.75 In which step did David make his first error? Step 1 Step 2 Step 3 Step 4
Answer:
Step 3.
Step-by-step explanation:
We need to tell the incorrect step in the given problem for the product of (–2.5)(–8.3)
Step 1. (–2.5)(–8.3) = (–8.3)(–2.5)
Step 2:
We can write -2.5 = -(2+0.5)
(–8.3)(-(2+0.5)) = (–8.3)(-2)+(-8.3)(-0.5)
= 16.6 + 4.15
Step 3.
= 20.75
He has done an error in step 3. It should be 16.6 + 4.15 instead of (–16.6) + (–4.15). As a result, he get incorrect answer.
Answer:
it is step 3
Step-by-step explanation: i just took the test mark me brainliest lol :>
Turn this into numerical form -> one-half the sum of x and 12
Answer: 1/2(x+12)
Step-by-step explanation:
Dewey rides his bicycle 5 miles in 3/4 of an hour. At this rate, how many miles can he ride his bicycle in 6 hours?
Answer:
18/16
Step-by-step explanation:
Answer: ez, 40 miles.
Step-by-step explanation:
Ivan and Polina have each drawn a conclusion about multiplying negative fractions. Ivan: The product of an even number of negative fractions is always positive. Polina: The product of an odd number of negative fractions is always negative. Whose conclusion is correct? Ivan only Polina only both Ivan and Polina neither Ivan or Polina
Answer:
Both are correct
Step-by-step explanation:
To check the validity of their statements, we shall be using direct examples
For Ivan , we can have an example of his assertion as follows;
-1/2 * -1/3 = 1/6
For Polina, we can have
-1/2 * -1/3 * -1/4 = -1/24
We can see from the above that both of them got their opinions correctly as there are no exceptions to the above
Answer:
both Ivan and Polina
Step-by-step explanation:
y = 5x + 2 and y = 5x – 1 parallel, perpendicular, or neither
Answer:
Parallel
Step-by-step explanation:
Parallel lines have the same slope, in this equation it is a slope of 5.
The given lines are parallel in nature.
What is slope?Numerical measure of a line's inclination relative to the horizontal.
Equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation.
Given:
y = 5x + 2 and y = 5x – 1
The slope for line 1 is 5.
and, the slope for line 2 is 5.
For, perpendicular line the slope of both lines are negative inverse relation.
But here the slope of both line are same which have parallel nature.
Hence, both lines are parallel in nature.
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ2
The measure of angle 1 is (3x + 10)° In the measure of angle 4 is (4x - 15)°
What is the measure of angle 7?
∠1 = ∠4 ( vertically opposite angles )
Then :-
[tex]3x + 10 = 4x - 15[/tex]
[tex]10 = 4x - 15 - 3x[/tex]
[tex]10 = 1x - 15[/tex]
[tex]1x - 15 = 10[/tex]
[tex]1x = 10 + 15[/tex]
[tex]1x = 25[/tex]
Which means :-
∠1 =
= 3x + 10
= 3 × 25 + 10
= 75 + 10
= 85°
∠4 =
= 4x - 15
= 4 × 25 - 15
= 100 - 15
= 85°
Then :-
∠7 = ∠6
∠6 + ∠4 = 180° ( interior angles on the same side of transversal )
∠6 + 85 = 180°
∠6 = 180 - 85
∠6 = 95°
As ;
∠6 = ∠7
∠7 = 95°Therefore , angle 7 = 95° .Answer:
95
Step-by-step explanation:
Find X
9yd
12yd
x= yd
Answer:
x= 108
Step-by-step explanation:
9 multiplied by 12 is 108
Hope this helps!!
Preform the following operations with fractions.
-11/5+4/6
Which are the better statistics to use to compare the penguin heights?
Penguin Heights at Cityview Zoo
(in cm)
Penguin Heights at Park Zoo
(in cm)
OO
оооо
35 36 37 38 39 40 41 42 43 44 45
35 36 37 38 39 40 41 42 43 44 45
O A. Median and standard deviation
O B. Mean and standard deviation
C. Median and IQR
OD. Mean and IQR
SUB
Answer:
The correct options are A and B.
Step-by-step explanation:
The Penguin Heights at City view Zoo (in cm) is:
S = {35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45}
Compute the mean and median of the data:
[tex]\text{Mean}=\frac{1}{n}\sum X\\\\=\frac{1}{11}\times [35+36+37+38+39+40+41+42+43+44+45]\\\\=40[/tex]
[tex]\text{Median}=[\frac{n+1}{2}]^{th}obs.\\\\=[\frac{11+1}{2}]^{th}obs.\\\\=6^{th}obs.\\\\=40[/tex]
The mean and median are same.
Tis implies that the height of penguins are normally distributed.
So, either the mean or median could be the best measure of center.
Standard deviation is one of the measure of dispersion or spread of a dataset from the average value of the dataset. The standard deviation measures the absolute variability of the distribution of values.
The higher the spread or variability in the data set, the greater is the standard deviation value and thus greater will be the magnitude of the deviance of the value from their average.
Thus, the correct options are A and B.
If you borrow $800 for 8 years at an annual rate of 11% how much will you pay altogether?
Answer:
$1,843.63
Step-by-step explanation:
[tex](1+0.11)^{8}[/tex] · 800 = $1,843.63
True or false: The domain and range always have the same number of unique values.
Pls help! I only have 3 min left!
Help me Plzzzzz!! ASAP!
Use the picture below please!!
Answer:
AB and BC are Skew
AE and BF are Parallel
Step-by-step explanation:
A recipe for macaroni and cheese calls for 16 oz of shredded cheese the recipe serves two people jack wants to feed 7 people how many ounces of cheese should he use
Answer:
56
Step-by-step explanation:
48 ounces would feed 6 people and if 16 oz is for two people than 8 oz is for one person. So, 48 plus 8 is 56.
is 0.523 a rational number?
Answer:
no
Step-by-step explanation:
Answer:
yes, it doesn't go on infinitely it stops at thousandths
Write in simplest form. 12/15 Divided by 4/9
Answer:
9/5
Step-by-step explanation:
12/15 / 4/9
12/15 * 9/4
108/60
54/30
27/15
9/5
A standard paper clip is 1
inches long. If you laid 75 paper
clips end to end, how long would
the line of paper clips be?
Answer
75 inches
Explonation
To find the answer, you should multiply 1 by 75
the area of a square garage is 121 square feet. will it fit a car that measures 13 feet long? explain
Answer:
It won't because the area is length times height. So 11 x 11. So some of the car will be hanging out of the garage.
Step-by-step explanation: