Answer:
x = 7
Step-by-step explanation:
Let the number added to the numerator is x.
ATQ,
[tex]\dfrac{3+x}{7+2x}=\dfrac{10}{21}[/tex]
Cross multiplying each side,
[tex]\dfrac{3+x}{7+2x}=\dfrac{10}{21}\\\\63+21x=70+20x\\\\21x-20x=70-63\\\\x=7[/tex]
Hence, the person that is added is 7.
Tom and his friend both purchased some CD’s from an online store. The CD’s were all the same price. Tom purchased 5 CD’s for $80.00 and his friend purchased 3 CD’s for $52.00. Let x represent the number of CDs purchased, and y represent the total cost of the CDs. Write the equation in slope intercept form (y=mx+b). Show your work? NEED ASAP!
9514 1404 393
Answer:
y = 14x + 10
Step-by-step explanation:
We are given two points, (x, y) = {(5, 80), (3, 52)}. The 2-point form of the equation for a line can be used to find the equation.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (52 -80)/(3 -5)(x -5) +80 . . . . . fill in the given values
y = (-28/-2)(x -5) +80 . . . . . simplify a bit
y = 14x -70 +80 . . . . . eliminate parentheses; next, collect terms
y = 14x +10
Create an algebraic equation for the word problem below:
Canadian Tire is selling coffee mugs. A coffee mug costs $5 and each day the price increases by $2.
Answer:
5+d2
Step-by-step explanation:
We'll make d=day
5+d2
5 is the base price
and 2 is the number that increases by day
Please tell me if it's incorrect
Happy Holidays!
153-22.5=?????????????????????
Answer:
130.5
Step-by-step explanation:
Answer:
130.5
Step-by-step explanation:
if correct mark brainliest plz
Help I give 20 points answer ASAP
Answer:
-1
Step-by-step explanation:
Do you agree or disagree with each statement? Explain your reasoning.
Employee A gets a pay raise of 50%. Employee B gets a pay raise of 45%. So Employee A gets the bigger pay raise.
Pls help.
Answer:
agree
Step-by-step explanation:
I agree with employee A getting a bigger pay raise than employee B if employee be got a bigger pay raise that is because they have more responsibility or have more skills than employee B.
Elizabeth uses 34.95 ounces of granola for 15 servings of trail mix. If each serving contains the same amount of granola, how much granola is in each serving?
Answer:
2.33 ounces
Step-by-step explanation:
Given that:
Ounces of granola used = 34.95 ounces
Number of servings of trail mix = 15 servings
Since each serving contains the same amount of granola :
Amount of granola in each serving :
Ounces of granola used / Number of servings
34.95 / 15
= 2.33 ounces of granola per serving
Find the degree of the polynomial.
Answer:
Degree of the polynomial = 3
Step-by-step explanation:
The given polynomial is [tex]18x^3y^2[/tex]
There are two variables in this polynomial i.e. x and y.
The exponent of x is 3 and that of y is 2.
We need to find the degree of the polynomial.
The degree of the polynomial is defined as the highest degree of any of the term.
In this case, the degree of polynomial is 3 as it has highest power than the power of y.
Jamal is hanging some lights on his house. His ladder is 12 feet long and makes an 80˚ angle with the ground. How high up the wall of his house will his ladder reach? Round your answer to the nearest hundredths place. Just enter a numeric answer, no units needed.
The ladder will reach 11.82 ft high of the wall of his house.
The situation will form a right angle triangle. Therefore,
The length of the ladder is the hypotenuse of the triangle formed.
The height of the wall is the opposite side of the triangle.
Therefore,
using trigonometric ratio,
sin 80° = opposite / hypotenuse
sin 80° = h / 12
cross multiply
h = 12 sin 80°
h = 12 × 0.98480775301
h = 11.8176930361
height of the wall ≈ 11.82 ft
read more: https://brainly.com/question/19892321?referrer=searchResults
Can someone help me with this
Answer:
(-8;11] is the range of the graph
In parallelogram STUV, find the m∠TUV.
Answer: Angle TUV = 57 degrees
Explanation:
The diagram shows Angle TSV = 57 degrees.
Opposite angles of any parallelogram are always congruent, so angle TUV is equal to angle TSV. This makes angle TSV to be 57 degrees. The other values are not needed.
Find the slope for problems 2 and 3.
Answer:
k
Step-by-step explanation:
2. y= 1/0.5x + 1
3. y= -8/1x + 0
these are the two answers. i hope this helped!
change from word to standard form sixty-seven and five hundred thirteen thousandths
which mathematical property is shown here
6*1=6
1 identity property of muliplication
2 inverse property
3 distributive
YA
6+
5
4
31
2+
1
LI
A
-6-5-4-3-2
-1
2 3
4
6
-1
-2
-5
-6-
The triangle is rotated 90° clockwise around the point (0,0).
What will be the coordinates of the image of point L after the rotation?
O A. (-2,6)
O C. (6,-2)
O B. (2,6)
OD. (6,2)
Answer:
Option D
Step-by-step explanation:
What do you notice about dividing numbers with the same base?
Answer:
it's the one all the way to the right
Which is a counterexample of the following conjecture: "If two angles are supplementary, they have the same measure?"
A:30 degrees and 60 degrees
B:50 degrees and 130 degrees
C:90 degrees and 90 degrees
D:45 degrees and 45 degrees
Answer:i dont know but i think its D.
Step-by-step explanation:
Pls mark meh Brainlessed
My friend justen here hes tacken and hes cracked at fornight my guy AHHHH A BREAD DOG
What is the value of x the equation 1,3,4,6
The Answer is 4.
You isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
C 4
Step-by-step explanation:
PLEASEEEE HELPPPPPP!
Answer:
We conclude that the value of 'a' will be:
[tex]a=\frac{x+b^2}{2}[/tex]
Hence, option (2) is true.
Step-by-step explanation:
Given the equation
x = 2a - b²
Let us solve the equation to solve for 'a'
[tex]x=2a-b^2[/tex]
switching sides
[tex]2a-b^2=x[/tex]
Add b² to both sides
[tex]2a-b^2+b^2=x+b^2[/tex]
Simplify
[tex]2a=x+b^2[/tex]
Divide both sides by 2
[tex]\frac{2a}{2}=\frac{x}{2}+\frac{b^2}{2}[/tex]
Simplify
[tex]a=\frac{x+b^2}{2}[/tex]
Therefore, we conclude that the value of 'a' will be:
[tex]a=\frac{x+b^2}{2}[/tex]
Hence, option (2) is true.
Write the number "five hundredths, six thousandths, forty-two millionths" as a decimal.
Answer:
0.0560042
Step-by-step explanation:
Robert needs to know if the triangle shown is a right triangle. Which equation could he use to help? A. 36+ 25= 49B. 25 + 36 = 49 C. 25 2 + 36 2 = 49 2 D. 36 2 –25 2 = 49 2
Answer:
C. 25² + 36² = 49²
Step-by-step explanation:
We use the Pythagoras theorem to determine if the triangle is a right angle triangle. The theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In geometry, hypotenuse is the longest side in a right angle triangle. This means it would have the highest number.
A. 36+ 25= 49
This is wrong because the theorem deal with the sum of the squares of the other two sides.
B. 25 + 36 = 49
This is wrong because the theorem deal with the sum of the squares of the other two sides.
C. 25² + 36² = 49²
This is correct as it matches the theorem.
D. 36² –25² = 49²
This is wrong because the theorem deal with the sum of the squares of the other two sides and not their difference.
One triangle shown is formed by the tree, its shadow, and a line of sight from the ground to the top of the tree. The other is formed by Manny, his shadow, and a line of sight from the ground to the top of his head.Manny is 512 feet tall, and his shadow is 414 feet long. The shadow of the tree is 17 feet long. How can you determine the height of the tree?
Answer:
21 feet
Step-by-step explanation:
To solve this question, we would be using the proportion
Shadow /Height
From the question:.
Manny's shadow = 414 feet
Manny's Height = 512 feet
Height of the tree = ? = x
Shadow of the tree = 17 feet
Hence:
414/512 = 17/ x
Cross Multiply
414 × x = 512 × 17
x = 512 × 17/414
x = 21.024154589 feet
x ≈ Approximately = 21 feet
The height of the tree = 21 feet
The height of the tree is 21 feet.
Given that,
Manny is 512 feet tall, and his shadow is 414 feet long. The shadow of the tree is 17 feet long. Here we assume the height be xBased on the above information, the calculation is as follows:
[tex]414\div 512 = 17\div x\\\\414 \times x = 512 \times 17\\\\x = 512 \times 17\div 414[/tex]
x = 21.02
= 21 feet
Therefore we can conclude that the height of the tree is 21 feet.
Learn more: brainly.com/question/24169758
Please help!!!!!!!!!
Answer:
D
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos CBA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{3}{9}[/tex] , thus
∠ CBA = [tex]cos^{-1}[/tex] ([tex]\frac{3}{9}[/tex] ) ≈ 70.53° ( to 2 dec. places )
*BRAINIEST & 30 POINTS*
what are the coordinates of the point on the directed line segment from (-8,8) to (7,-7) that partitions the segment into a ratio of 1 to 4?
Answer:
(-5, 5)Step-by-step explanation:
Given points:
(-8,8) and (7,-7)Ratio of partitioning:
1 tp 4Use of formula:
P = (x1 + a/(a+b)*(x2 - x1), y1 + a/(a+b)*(y2 - y1))Substitute values:
P = (-8 + 1/(1+4)*(7 + 8), 8 + 1/(1+4)*(-7 - 8)) P = (-8 + 1/5*15, 8 + 1/5*(-15))P = (-8 + 3, 8 - 3)P = (-5, 5)please solve thisss
Answer:
1,570
Step-by-step explanation:
10×2=20
20×3=60
30×5=150
40×7=280
50×4=250
60×3=180
70×8=630
Now,
20+60+150+ 280 +250+ 280+ 630=1,570
this is the answer
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{45.31}}}}[/tex]
❀ Explanation :
✑ Let's Know about A.M ( Arithmetic Mean )
In statistics , a single number can be calculated from a group of data which shows the character of the whole data. This number is called the average of the while data. An average is also called the arithmethic mean or simply mean which is a measure of central tendency.
☄ To calculate the average of the given type of data ( discrete series ) , follow the steps given below :
Make the table of 3 columns .Write down the items or observations ( x ) in the first column in ascending order and the corresponding frequency ( f ) in the second column.Multiply the data ( x ) by their corresponding frequency ( f ) and write down the product in third column of fx.Find the sum of f - column and fx - column separately.Divide the sum of fx by the sum of f , the quotient so obtained is the required mean.✐ Remember :
[tex] \underline{ \boxed{ \sf{mean \: = \frac{Σfx}{Σf} \: or \: \frac{Σfx}{n}}}} [/tex]
Where , Σf = N = Sum of the frequency and the symbol ' Σ ' ( sigma ) means " summation of " .
( See the workings in attached picture )
Hope I helped!
♪ Have a wonderful day / night ツ
~~
Solve the system by substitution 2x-y=39 and -6y=x
Answer:
x=18,y=-3
Step-by-step explanation:
David expressed the ratio of the number of books that he owns to the number of DVDs that he owns as 27:11. Which statement could be true based upon this relationship? David has 11 books and 27 DVDs. David has 11 DVDs and 27 books. David has 11 DVDs and 27 items total. David has 11 books and 27 items total.
Answer: David has 11 DVDs and 27 books.
Step-by-step explanation:
When numbers are put in ratio form they are meant to compare their relative sizes.
The first number will be the first item being compared to the other.
For instance, if you had 2 pens and 3 pencils, the ratio of your pens to your pencils will be; 2:3. The ratio of your pencils to your pens however is 3:2.
In the same vein, a ratio of books to DVDs of 27:11 means that David has 27 books and 11 DVDs.
Answer:
David has 11 DVDs and 27 books.
Step-by-step explanation:
A local movie theater has an offer that for every seven movies you pay to go see, they will give you free passes for two other movies. If you paid to see 42 movies last year, how many free passes did you receive?
Answer:
i just need more points so sorry im not helping
Step-by-step explanation:
im just a blank bc it doesnt let me say it seventh grader
Answer: 12
Step-by-step explanation: 42/7 = 6 and u get 2 free passes so 6 x 2 = 12
least to greatest, 45%, .46, 11/25
Answer:
46, 11/25, 45%
Step-by-step explanation:
Look at the comments under this question! y = 10-3x and 2x+2y = 0
Answer:
Yes! You would sub 10-3x for y and solve.
Don't forget to use the distributive property! Your answer should be 5.
A 2oz cup of frozen yogurt has 50 calories in it. How many calories are 7 oz?