Answer:
a. 5
b. 3
c. 3
Step-by-step explanation:
Terms are variables, the number connected to the term is called the coefficient, the variable does not need a coefficient to be considered a term. There are 5 terms in a (9x,4y,7x,8w,t) 3 terms in b (Ab,3a,4b) and 3 terms in c (25a,9bc,8def).
Notice how there are multiple variables in sets b and c. Do not get confused into thinking these are multiple terms, they are one. A term is a single expression with one or more variables that are multiplied but never added or subtracted. Ex: abc is one term but 3 variables.
Two years ago a man was five times as old as his son. Two years later his age will be eight more than three times as old as his son . Find there present age
Answer:
The age of man is 42 years and the age of his son is 10 years.
Answer: Father 42 and son 10
Let the age of the father is x years and that of the son is y years.
Then by the given question,
x-2=5(y-2)
or, x-5y=-10+2
or, x-5y=-8
or, x=5y-8
x+2=3(y+2)+8
or, x-3y=6+8-2
or, 5y-8-3y=12
or, 2y=12+8
or, y=20/2
or, y=10
then x=5y-8=50-8=42
Then, the age of father is 42 yrs. and the age of sun is 10 yrs.
WHAT IS (3/4 - 1/3) divided by 1 2/3
Answer:
1/4
Step-by-step explanation:
3/4*3=9/12
1/3*4=4/12
9/12-4/12=5/12
5/12*3/5=15/60
15/60=1/4 Simplified
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPpp
Answer:
12-2=10
Step-by-step explanation:
Your welcome! :D
A triangle has two side of length 3 and 7. The third side of this triangle must not be shorter than (blank) or longer than (blank)
Answer:
The sum of two side lengths of a triangle must be greater than the length of the third.
So, if two side lengths are 3 and 7, the length of the third side must be less than 10 units.
However, it cannot be shorter than 4 units, as 3 + 4 = 7.
So your answer is: The third side of this triangle must not be shorter than 4 or longer than 10
Let me know if this helps!
Frank is buying birthday candles for his grandmother's birthday cake. Her age, in years, will determine how many boxes of candles Frank will need to
buy. Which is the dependent quantity?
O b= how many boxes of candles Frank will buy
O a = Grandmother's age in years
Answer:
I believe A because the grandmothers age affects how many boxs of candles Frank will buy. Hope this helps
Step-by-step explanation:
( iready math ) Macy's aunt makes raspberry jam using 6 tablespoons of sugar and 8 tablespoons of raspberries. What is the ratio of tablespoons of raspberries to tablespoons of sugar?
8 to 14
8 to 6
6 to 14
6 to 8
Answer:
8 to 6
Step-by-step explanation:
The question is asking what is the ratio of "tablespoons of raspberries" TO ratio of "tablespoons of sugars".
= 8 tablespoons of raspberries TO 6 tablespoons of sugar
= 8 (tablespoons of raspberries) TO 6 (tablespoons of sugar)
= 8 TO 6
The ratio of tablespoons of raspberries to tablespoons of sugar should be considered as the 8 to 6.
Calculation of the ratio:Since Macy's aunt makes raspberry jam using 6 tablespoons of sugar and 8 tablespoons of raspberries.
So here the ration be like
= 8 raspberries tablespoons to 6 tablespoons of sugar
= 8 to 6
hence, the second option is correct.
Learn more about ratio here: https://brainly.com/question/17642715
Which function matches the graph?
-2
a. f(x) = -2(x - 3)2 + 1
b. f(x) - 2(x+3)2 - 1
c. f(x) = (x+3)²+2
d.
A(x) = 1/(x - 3)² - 1
Answer:
Its a or c sorry if im wrong
(hope this helps :D hehe)
Step-by-step explanation:
Answer:
Please insert a graph.
Step-by-step explanation:
If you submit a picture of the graph on here, I will see how how I can help.
Nine is 15% of what number
Answer:
60
Step-by-step explanation:
9/15 = 0.6
0.6 x 100 = 60
Answer:
60
Step-by-step explanation:
Let x be the number
15/100 * x = 9
multiply by 100
15x = 900 Divide by 15
x = 900/15
x = 60
Please help me with thisss
Answer:
(x, y) = (-2, -3)
WORK:
2x + 4y = -16 =
-2x + 2y = -2 =
(^ the two’s cancel out) =
6y = -18 =
(^ you need to divide 6 on both sides to get just y) =
6y/6 = -18/6 =
(^ the six’s cancel out) =
y = -3 =
(^ now you have to plug this in to get x) =
2x + 4(-3) = -16 =
2x - 12 = -16 =
(^ you need to add 12 on both sides to get rid of it on the left side to add it to -16 on the right side) =
2x = -4 =
2x/2 = -4/2 =
(^ now you divide 2 on both sides again to get just y, and they will cancel out) =
x = -2 =
THEREFORE YOU GET (-2, -3)
solve (x/x+2) - (4/x-2) = 1
can someone explain how i find the missing angle on this thing
Answer:
70°
Step-by-step explanation:
a + 90 + 20 = 180 {Angles in straight line}
a + 110 = 180
a = 180 - 110
a = 70
Haille used a birthday check her mother gave her to start her savings account.Sheplans to save $25per month at well. After 9 months,Hailsham $300.
Answer:
yet
Step-by-step explanation:
ya im sorry i don't know
21x just a random number
The area of triangle xyz is 35 cm. the height is 10cm. what is the base of the triangle?
Answer:
Base of the triangle = 7 cm
Step-by-step explanation:
Given information,
→ Area of triangle = 35 cm
→ Height = 10 cm
Now we have to,
→ Find the base of the triangle.
Formula we use,
→ Area = ½ × b × h
Forming the equation,
→ (1/2) × b × 10 = 35
Then the value of b will be,
→ (1/2) × b × 10 = 35
→ (b × 10)/2 = 35
→ 10b/2 = 35
→ 10b = 35 × 2
→ 10b = 70
→ b = 70/10
→ [ b = 7 cm ]
Hence, the value of b is 7 cm.
18. Find the value of x to
make the following equation
true.
(3^2)^3 x 3^x = 3^7 x 3^3/ 3^11
Step-by-step explanation:
(3²)³ × 3^x = 3⁷ × 3³/3¹¹
3⁶ × 3^x = 3¹⁰/3¹¹
3⁶ × 3^x = 3^-1
3^x = 3^-1 / 3⁶
3^x = 3^-1 × 3^-6
3^x = 3^-7
x = -7
The image shown is an object formed from a cylinder and spherical hemisphere. The radius of the base is 7 cm and the height of the cylinder is 10 cm
(π = 22/7). The volume of the object is ....
A. 2258,67 cm3
B. 2618,33 cm3
C. 2926,67 cm3
D. 2977,33 cm3
Answer:
Volume = 2,258.67 cm³
Step-by-step explanation:
Volume of the object = volume of hemisphere + volume of cylinder
= ⅔πr³ +πr²h
Where,
π = 22/7
r = 7 cm
h = 10 cm
Volume = (⅔*22/7*7³) + (22/7*7²*10)
Volume = 2,258.67 cm³
Solve for x. Round to the nearest tenth.
Answer:
Step-by-step explanation:
Youre given the adjacent and hypotenuse, so you can use cosine. SOHCAHTOA
cos(37) = 48/x
x = 60.1
Coach Pettaway is buying basketball equipment for his team. He gets a
reduced rate if he buys 8 basketballs for every 3 jerseys. The reduced rate is $2.25
per basketball and $22.50 per jersey. The sales tax on each item is 6%. Coach
Pettaway has $400 in his budget to buy the basketballs and jerseys. What is the
greatest number of basketballs and jerseys he can buy at the reduced rate if the
ratio of basketballs to jerseys is 8:32 Show your work.
A circular dining room table has a radius of 3 feet of each person sitting at the table needs about 2 feet of space, how many people will fit at the table
Answer:
need to find the area of the circular dining room table which has a radius of 3 feet of each person sitting at the table needs about 2 feet of space how many people will fit at the table 3 feet of each person sitting at table needs about two feet of space than about five people will fit at the table
What is the value of y? A. 57 B. 33 C. 66 D. 114
Answer:
57
Step-by-step explanation:
a pec
Option A is correct, the value of y is 57 degrees in the triangle.
We have to find the value of y in the given triangle.
Initially let us find the adjacent angle or interior angle which is adjacent to 114 degrees.
We know the straight line has an angle of 180 degrees
114+x=180
x=66 degrees.
By angle sum property the sum of three angles is 180 degrees.
66+y+y=180
66+2y=180
Subtract 66 from both sides:
2y=180-66
2y=114
Divide both sides by 2:
y=57 degrees
Hence, the value of y is 57 degrees in the triangle.
To learn more on Triangles click:
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Use the quadratic formula to find both solutions to the quadratic equation
given below.
3x - x + 6 = 0
Answer:
3x-x+6=0
2x+6=0
2x=-6
x= -6/2
x=. -4
The measure of the second angle is 15 degrees more then the measure of the 1st angle. The measure of the 3rd angle is 45 degrees more than the measure of the 1st angle. Find the measures of the interior angles in the triangle.
Let the first angle be x
So, second angle = (x+15)°
and third angle= (x+ 45)°
Now,
x+ (x+15) + (x+45)= 180°. ( Triangle sum property)
x+x+x+15°+45° = 180°
3x+ 60° = 180°
3x= 180°-60°
3x= 120°
x= 120°/3
x= 40°
Now,
first angle=x= 40°
second angle = (x+15)°= 40°+15° = 55°
third angle= (x+45)° = 40°+45° = 85°
Hope it helps you. Please mark as brainliest if it does.
Pleaseeee help answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!
Answer:
1080°
General Formulas and Concepts:
Math
CountingPre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Sum of Angles: 180(n - 2)°Step-by-step explanation:
Step 1: Define
We are given a 8 sided polygon (a octagon)
n = 8
Step 2: Find Sum
Substitute in n [Sum of Angles]: 180(8 - 2)°(Parenthesis) Subtract: 180(6)°Multiply: 1080°New York and Chicago are 4 inches apart on a map if the scale on a map is 1/2 inch equal 100 miles how many miles is it from New York to Chicago
please find h and a
Answer:
h=12 + c=20
Step-by-step explanation:
a^2+b^2=c^2
9^2+h^2=15^2
15^2-9^2=h^2
225-81=h^2
144=h^2
[tex]\sqrt{144}[/tex] = h
12=h
a^2+b^2=c^2
16^2 + 12^2 = c^2
256+144=c^2
400=c^2
[tex]\sqrt{400}[/tex] = c
20=c
y= - 1 / 4 x + 8
its for math 8 thanks yall :)
Answer:
[tex]x =-4y+32[/tex]
Step-by-step explanation:
Calculations:
[tex]y=-\frac{1}{4} x+8[/tex]
[tex]y-8=-\frac{1}{4}x[/tex]
[tex]x =-4y+32[/tex]
Which 01 the following options best describes the zeros of the quadratic function above?
0) Imaginary zeros
() 2 real zeros
1 real zero and 1 Imaginary zero
f 1 real zero
Answer:
Option (1)
Step-by-step explanation:
Vertex form of the quadratic equation is given by,
y = (x - h)² + k
Where (h, k) is the vertex.
From the graph attached,
Vertex of the parabola is (0, 4).
Therefore, equation of the parabola will be,
y = (x - 0)² + 4
y = x² + 4
Function representing the parabola will be,
f(x) = x² + 4
For the zeros of the quadratic function we find the value of x where f(x) = 0.
x² + 4 = 0
x² = -4
x = ±√(-4)
Since, square root of a negative number is not defined, zeros of the function will be imaginary.
Therefore, both the zeros will be imaginary.
It's clear from the graph, there are no x intercepts of the function Or zeros are imaginary.
Option (1) will be the answer.
John makes $400 per week. What does it mean for him to get a l50% salary raise. Explain in words and then give and example showing a calculation
Answer:
can some one give the answer
Step-by-step explanation:
pls
write an equation of the line that passes through the two given points: (-5, -5) and (1,-3)
Answer:
slope-intercept formula -----> Y2-Y1/X2-X1
Step-by-step explanation:
X1= -5 X2= 1
Y1= -5 Y2= -3
-3+5/1+5=1/3
3. A principal orders 2,592 pencils. She gives an equal amount to each of
the 24 teachers. How many pencils does each teacher receive?
Calculate the rate of interest if principle is 6000 time is two years and interest 3000
Answer:
We conclude that the interest rate required to accumulate simple interest of $3,000 from a principal of $ 6,000.00 over 2 years is 25% per year.
Step-by-step explanation:
Given
Principle P = 6000
Time period t = 2 years
Interest I = 3000
To determine
Interest rate r = ?
Using the formula
I = Prt
r = I / Pt
substituting P = 6000 , t = 2, and I = 3000
r = 3000 / ( 6000 × 2 )
r = 3000 / 12000
r = 0.25
convering the decimal into percentage: 0.25×100 = 25%
r = 25%
Therefore, we conclude that the interest rate required to accumulate simple interest of $3,000 from a principal of $ 6,000.00 over 2 years is 25% per year.