Answer:
The answer will be 7(2x - 1)
Step-by-step explanation:
1) Convert 7 and 1/2 to improper fraction. Use this rule: a b/c = ac + b/c
[tex]7x + \frac{1}{2} + 7x - \frac{7 \times 2 + 1}{2} [/tex]
2) Simplify 7 × 2 to 14 .
[tex]7x + \frac{1}{2} + 7x - \frac{14 + 1}{2} [/tex]
3) Simplify 14 + 1 to 15.
[tex]7x + \frac{1}{2} + 7x - \frac{15}{2} [/tex]
4) Collect like terms.
[tex](7x + 7x) + ( \frac{1}{2} - \frac{15}{2} )[/tex]
5) simplify.
[tex]14x - 7[/tex]
6) Factor out the common term 7.
[tex]7(2x - 1)[/tex]
Therefor, the answer is 7( 2x - 1 ).
Question 1 of 10
Which of the following is the quotient of the rational expressions shown
below?
2x-3
X-5
-
3х -1
57
A.
X - 4
5x2
B
10x2 - 11x - 6
9x3 - 3x2
C.
6x2 - 11x +3
5x3 - 25x2
-2x +3
Answer:
C. 6x2-11x+3/5x3-25x2
Step-by-step explanation:
AP3X
The expression sin(23°)cos(7°) + cos(23º)sin(7°) is equivalent to
Answer:
[tex]\sin(30)[/tex]
Step-by-step explanation:
Given
[tex]\sin(23) \cos(7) + \cos(23) \sin(7)[/tex]
Required
An equivalent expression
The above is an illustration of the sine formula which states:
[tex]\sin(A) \cos(B) + \cos(A) \sin(B) = \sin(A + B)[/tex]
In this case:
[tex]A = 23\\ B = 7[/tex]
So:
[tex]\sin(23) \cos(7) + \cos(23) \sin(7) = \sin(23 + 7)[/tex]
[tex]\sin(23) \cos(7) + \cos(23) \sin(7) = \sin(30)[/tex]
Hence, an equivalent expression is: [tex]\sin(30)[/tex]
Which chocolate chip cookies have the greater spread in the number of chips per cookie?
is it
Regular
OR
Reduced Fat
Answer:
Reduced fat had the greater spread.
Step-by-step explanation:
Julie used 1-centimeter cubes to make the figure below.
= 1 cubic centimeter
What is the volume of the figure?
09 cubic centimeters
12 cubic centimeters
13 cubic centimeters
17 cubic centimeters
Answer:
12
Step-by-step explanation:
4 x 3
Hi if you can help me that’d be great! Just show me the work/steps you took to answering the question and your explanation!
Answer:
x = 7
y = 16
upper 2 sides = 12
lower 2 sides = 19
Step-by-step explanation:
2x + 5 = x + 12
combine like terms:
x = 7
y - 4 = x + 5
y - 4 = 7 + 5
combine like terms:
y = 16
Upper sides = 7 + 5 = 12
Lower sides = 7 + 12 = 19
A regular ice cream cone is 5 inches tall and has a diameter of 2.5 inches. A waffle cone is 7 inches tall and has a diameter of 3.75 inches.
(a)
Find the volume (in cubic inches) of the regular ice cream cone to the nearest tenth.
cu. in
(b)
Find the volume (in cubic inches) of the waffle cone to the nearest tenth.
cu. in
(c)
How much more ice cream (in cubic inches) fits in the waffle cone compared to the regular cone? Round your answer to the nearest tenth.
cu. in
Answer:
a 5
b49
c76
Step-by-step explanation:
Use the net as an aid to compute the surface area of a triangle pyramid with an equilateral triangle base
Answer:
106 ft 2
Step-by-step explanation:
Answer:
323 in
Step-by-step explanation:
Estimate the difference between the decimals 9.25 and 6.5 by rounding to the nearest whole number before subtracting.
Answer:
3
Step-by-step explanation:
Determine any data values that are missing from the table, assuming that the data represent a linear function.
x y
1 2
2 4
3
a. 7
b. 6
c. 2
d. 8
Question
Sam sells orange juice by the glass and each glass contains 250 milliliters of orange juice. Sam has 10
cartons that each contain 3.5 liters of orange juice. What is the greatest number of glasses of orange juice
that Sam can sell? (1 liter = 1,000 milliliters)
Answer:
14 glasses
Step-by-step explanation:
3.5 (liters) times 10 (cartons) = 35 (liters)
(1 liter = 1,000 milliliters)
(35 liters = 3,500 milliliters)
3,500 (liters) divided by 250 (milliliters) = 14 glasses
The greatest number of glasses of orange juice that Sam can sell will be 140 glass.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
Sam sells orange juice by the glass, and each glass contains 250 milliliters of orange juice.
Sam has 10 cartons that each contain 3.5 liters of orange juice.
Then the total amount of orange juice will be
Total amount = 10 x 3.5
Total amount = 35 liters
We know that one liter is equal to 1000 milliliters.
Then the total amount of the orange juice in milliliters will be
Total amount = 35 x 1000
Total amount = 35,000 milliliters
Then the greatest number of glasses of orange juice that Sam can sell will be
Total number of glass = 35,000 / 250
Total number of glass = 140 glass
The greatest number of glasses of orange juice that Sam can sell will be 140 glass.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
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I will mark you brainlist!
Answer:
C is the answer
Step-by-step explanation:
ANSWER ALL PLEASEEEEEEE
Answer:
third angle is 32 ahdbd ajdhbdd audujdhdbd
How can I get the answer for c
each team has 14 players using c write an expression for the total number of players in the tournament
Ani dont know Step-by-step explanation:
Alex's pig weighs under 220 pounds.
Let p = the weight of the pig
Answer:
p > 220
Explanation:
This inequality says, "p (the weight of the pig) is less than 220." This describes the situation shown. So, the answer is p > 220.
Good luck ^^
please help!! will give brainliest ASAP
Answer:
c = 36.06
Step-by-step explanation:
a² + b² = c²
20² + 30² = c²
400 + 900 = c²
c² = 1300
[tex]\sqrt{c^2} =\sqrt{1300}[/tex]
c = 36.06
find the measure of angle A
Answer:
60 degrees
Step-by-step explanation:
All angles of a triangle will add up to equal 180 degrees.
Set up an equation to solve for x:
9x - 3 + 50 + 9x + 7 = 180
Combine like terms
18x + 47 + 7 = 180
18x + 54 = 180
Subtract 54 from both sides
18x = 126
Divide both sides by 18
x = 7
Now plug in 7 for x in the expression for angle A:
9(7) - 3
63 - 3
60
Check work:
60 + 50 + 9(7) + 7 = 180
110 + 63 + 7 = 180
173 + 7 = 180
180 = 180
Correct
Is square root of 11 a irrational number
Answer:
yes I think square root of 11 is irrational no....
solve the system of equations 3(x+y)-7=12x+y 6(y-2x)
Answer:
Step-by-step explanation:
☁️ Answer ☁️
Sup m8, ur answer is:
x = 6y^2 - 3y + 7 / 3 (4y - 3)
(Sorry if I made any mistake)
Hope it helps.
Have a nice day noona/hyung.
Susan wants to buy new carpet for her living room floor the floor is the shape of a rectangle the length is 19 feet and the width is 12 feet suppose carpet cost eight dollars for each square foot how much will the carpet cost for the floor
Total square feet = length x width:
19 x 12 = 228 square feet.
Total cost = total square feet x price per square feet:
Total cost = 228 x 8 = $1,824
I need help what do I put in this blank what is the last number
Answer:
8 in
Step-by-step explanation:
? = a
a² + b² = c²
a² + 15² = 17²
a² + 225 = 289
a² = 289 - 225
a² = 64
[tex]\sqrt{a^2} =\sqrt{64}[/tex]
a = 8
Help plz imagine attached
Answer:
Angle of elevation = 21.167°
Step-by-step explanation:
Given:
Horizontal distance cover by rover = 180 m
Vertical distance cover by rover = 65 m
Find:
Angle of elevation
Computation:
Using trigonometry function;
Sin θ = Perpendicular / Hypotenuse
⇒ Sin θ = Vertical distance cover by rover / Horizontal distance cover by rover
⇒ Sin θ = 65 / 180
⇒ Sin θ = 0.3611
⇒ Sin⁻¹ (0.3611) = 21.167°
Angle of elevation = 21.167°
Susan traveled 57.9 miles each day for the past 7 days. How many miles did she travel in all?
Answer:
Simply take the number of miles each day and multiply it by the number of days. 57.9 miles × 7 days = 405.3 miles
Answer: 405.3 miles
Cushing's disease is characterized by muscular weakness due to adrenal or pituitary dysfunction. To provide effective treatment, it is important to detect childhood Cushing's disease as early as possible. Age at onset of symptoms and age at diagnosis (months) for 15 children suffering from the disease were given in an article "Treatment of Cushing's Disease in Childhood and Adolescence by Transphenoidal Microadenomectomy" (New Engl. J. of Med., 1984: 889). Here are the values of the differences between age at onset of symptoms and age at diagnosis:
-24 -12 -55 -15 -30 -60 -14 -21
-48 -12 -25 -53 -61 -69 -80
Calculate a 95% confidence interval for the population mean difference, and interpret the resulting bound.
Answer:
Since the calculated value of t =-0.427 does not fall in the critical region so we accept H0 and conclude that there is enough evidence to show that mean difference in the age of onset of symptoms and age of diagnosis is 25 months .
Step-by-step explanation:
The given data is
Difference d= -24 -12 -55 -15 -30 -60 -14 -21 -48 -12 -25 -53 -61 -69 -80
∑ d= -579
∑d²= 29871
1) Let the hypotheses be
H0: ud= 25 against the claim Ha: ud ≠25
H0 : mean difference in the age of onset of symptoms and age of diagnosis is 25 months .
Ha: mean difference in the age of onset of symptoms and age of diagnosis is not 25 months.
2) The degrees of freedom = n-1= 15-1= 14
3) The significance level is 0.05
4) The test statistic is
t= d`/sd/√n
The critical region is ║t║≤ t (0.025,14) = ±2.145
d`= ∑di/n= -579/15= -38.6
Sd= 23.178 (using calculators)
Therefore
t= d`/ sd/√n
t= -38.6/ 23.178√15
t= -1.655/3.872= -0.427
5) Since the calculated value of t =-0.427 does not fall in the critical region so we accept H0 and conclude that there is enough evidence to show that mean difference in the age of onset of symptoms and age of diagnosis is 25 months .
X^2+x-2=0
Factor
Fast
Pls help me for my 6th grade study buddy review pls explain the equation
How many 18-pound patties can she make from 78of a pound of hamburger? We can 7 patties out of 78pound of hamburgers
Answer: 4.3
Step-by-step explanation:
she can make 4.3, 18 pound patties out of a 78 pound of hamburger
Question 5 of 10
Which solid has a greater volume?
O A. Figure A has a greater volume.
B. Figure B has a greater volume.
22
O C. They are equal.
OD. It cannot be determined.
SUBMIT
Answer:
C. They are equal
Step-by-step explanation:
Both have the same volume 24
Both Figure have same Volume.
What is Volume?Every three-dimensional item requires some amount of space. The volume of this space is measured. Volume is defined as the space occupied by an object inside the confines of three-dimensional space. It is also known as the object's capacity.
We have,
Cone:
Volume of Cone = 1/3 πr²h
= 1/3 (3.14)(3)²8
= 75.36 unit³
Cylinder:
Volume of Cylinder = πr²h
= (3.14)(2)²6
= 75.36 unit³
Thus, Both figures have Equal volume.
Learn more about Volume here:
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i will mark brainliest please help
A- less than -5
B- less than or equal to -5
C- Greater than -5
D- Greater than or equal to -5
Cellular phone service is available for $37 per month for 1847 minutes. What is the monthly cost per minute? Round your answer to the nearest tenth of a cent.
The cost for the phone service is cents per minute.
