The value of the equation is y = 4c + 18 , where c is the cost of each teacup and c = $ 6
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
The total cost Rebecca spend on teacups = $ 42
The cost of the large teapot = $ 18
The cost of small teacups be = c
The number of small teacups = 4
So , the equation will be
Total cost Rebecca spend on teacups = cost of the large teapot + ( number of small teacups x cost of small teacups )
Substituting the values in the equation , we get
42 = 18 + 4c
y = 4c + 18 be equation (1) , where y is the total cost
On simplifying the equation , we get
Subtracting 18 on both sides of the equation , we get
4c = 24
Divide by 4 on both sides of the equation , we get
c = $ 6
Therefore , the cost of each teacup is $ 6
Hence , the equation is y = 4c + 18
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do it for me fast i hate world proplem
Answer:
18. is 2×2×2×2×2×2×2=128
19. is 4×4×4×4×4=1,024
20. is 5^4 which is 625
21. the student did 3^2 which it asks for 2^3 so the answer is 2×2×2=8
22. it is 10^10 because the difference is 2 billion while the other number's difference is 92 billion
23. exponential form is when a certain number is raised to the power of a certain number or also known as exponents. Exponents signifies that the number that is being being raised to a certain power will be multiplied a number of times, based on the exponent
.....i hope it helps
What is the measure of angle B?
Hint: Angle B and the 63° angle are alternate interior angles.
Answer:
63 degrees
Step-by-step explanation:
Alternate interior angles have the same measure
f(x) = x + 2
g(x) = 3x² - 5
Find (f.g)(x).
OA. (f g)(x) = 3x³ - 10
OB. (f g)(x) = 3x³ + 6x² - 5x - 10
OC. (f. g)(x) = 3x³ + 10
OD. (f g)(x) = 3x³ + 6x² + 5x + 10
SUBMIT
Answer:
It's option B, (f • g)(x) = 3x^3 + 6x^2 - 5x - 10
Step-by-step explanation:
In this problem, we are dealing with a branch of functions called composite functions. What the difference is between normal and composite functions is that we instead of defining a value for f(x), take two functions, f(x) and g(x), in the form of f and g. For instance, h(x) = g.
• Take the products of both functions.
f(x)g(x) = 3x²+5 • x-2
• Next, expand the functions. We expand by combining like terms.
= 3x^3 - 6x^2 + 5x - 10
Since the function cannot be simplified further, this leads to option B being our answer.
Hope this helps!
Work out the size of x
Answer:13°
Step-by-step explanation:
a + b + x=180 sum of angles in a =180°
85° is alternate to a
Therefore a=85°
98° and b are supplementary angles
98+b=180
b=180-98
b=82°
Recall that
a + b + x=180
85+82+x=180
167 + x=180
Collect like terms
x=180-167
x=13°
Which of the following is a Rational Number? √11 √14 √77 15
Answer:
1/2
Step-by-step explanation:
Which statements are true regarding the expression below? Choose three answers. 8 ^-1. 8 ^-3. 8
The statements that are true regarding the expression with the exponents -1, -3, and 1 are;
An equivalent expression is 8⁷·8⁻¹⁰The sum of the exponent is -3The value of the expression is 1/512What is an exponent?An exponent is a quantity or power to which a value, expression or number is to be raised.
The specified expression can be presented as follows;
8⁻¹ × 8⁻³ × 8
Therefore; 8⁻¹ × 8⁻³ × 8 = 8⁽⁻¹ ⁺ ⁻³ ⁺ ¹⁾ = 8⁻³ = 1/8³
The sum of the exponent is; -1 + (-3) + 1 = -31/8³ = 1/512
Therefore, the value of the expression is; 1/512Similarly, we get; 8⁷ × 8⁻¹⁰ = 8⁽⁷ ⁻ ¹⁰⁾ = 8⁻³ = 1/8³
Therefore, 8⁷ × 8⁻¹⁰ and 8⁻¹ × 8⁻³ × 8 are equivalent expressionsLearn more on exponents here: https://brainly.com/question/29831670
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Question 4Mple Choice Worth 2 points)
Ares of Polygons and Composite Figures MC)
A composte figure is shown
024413
028.445²
1.15 in
Which of the following represents the total area of the figure?
010 663 ²
034.335 ²
4.6 in.
3h 563
P
The total area of the composite figure which has triangle and rectangle is 24.41 square inches
The given composite figure has two triangles and one rectangle
Area of rectangle =length × width
=4.6×3.15
=14.49 square inches
Area of left side triangle, it has base of 3.3 in and height 3.15 inches
Area of triangle = 1/2×3.3×3.15
=5.1975 square inches
Area of triangle on right side
Base = 3 in
Height = 6.3-3.15=3.15 in
Area of triangle = 1/2×3×3.15
=4.725 square inches
Total area = 14.49 + 5.1975 + 4.725
=24.41 square inches
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What is 507 less than 607
pls help me I'm stuck on this one too
Answer:
the answer is 11
I hope it helps
have a nice day
#Captainpower
5. The denominator of a rational number is greater than its numerator by 7. If the numerator is increased by 17 and the denominator is decreased by 6, the new number becomes 2. find the original number.
Answer:
Let the fraction be qp
So q=p+7
q−6p+17=2
⇒p+7−6p+17=2
⇒p+1p+17=2
⇒p+17=2p+2
⇒p=15
q=15+7=22
So qp=2215.
Step-by-step explanation:
hope it helps you please mark me as brainlist
Answer:
15/22.
Step-by-step explanation:
Let the denominator of original number be x.
Then the fraction is written as x/(x+7).
From the given info:-
(x+17)/ (x + 7 - 6) = 2
(x+17)/(x+1) = 2
2(x+1) = x+ 17
2x + 2 = x + 17
x = 17-2 = 15.
So the original number = x/x+7
= 15/22.
Find a formula for the
n
th term,
T
n
, of the following arithmetic sequence:
−
9
,
−
18
,
−
27
,
−
36
,
.
.
.
Answer:
x+9
Step-by-step explanation:
for example x is 18 , add 9 to it will become 18+9=27
Simplify
where a = 9 and b = 8
2a
Answer:
18
Step-by-step explanation:
2a
Let a = 9
2*9
18
B is a number larger than 1
Answer:
b= infinity
Step-by-step explanation:
Because is b>1 than b can be 2, 3, 44, 100, 1000, 100000000213981623 and higher. There is no way to find the exact number though.
Aidan practices basketball after school each day. On Monday he practices for 32 minutes, on Tuesday he practiced for 27 minutes, on Wednesday for 18 minutes, for 24 minutes on Thursday, and for 25 minutes on Friday. How many minutes did Aidan practice on average per day?
Answer:
25.2
Step-by-step explanation:
Kate multiplies 5 numbers. One of the numbers is 0. Is it possible to know the product of Kate's number?
Answer:possibly any number multiplied by 0 is always gonna be 0
Step-by-step explanation: so yes depending I’m only in 5th so yeah sorry if it’s wrong
EASY
Which is equal to 36?
2 power of 6
2 power of 18
6 power of 2
6 power of 6
(PLZ ANSWER FAST ILL GIVE BRAINLY AND POINTS NO LINKS LOOK AT IMAGE)
3 points
3. Paul stands on a small hill and kicks a soccer ball to the ground below.
The hill is 5 feet above the ground. The path of the ball is a parabola. When
the ball is a horizontal distance of 14 feet from him, it is 10 feet above the
ground. When the ball is a horizontal distance of 30 feet from him, it is 6
feet above the ground. Write the equation of the quadratic function that
models the path of the ball.
Answer:
maximum height = 26 feet and minimum height = 8 feet The main cable of a suspension bridge forms a parabola modeled by the height in feet of the cable above the road, x is the horizontal distance in feet from the How long are the sides of the smaller window? A soccer ball is kicked into the air from the ground.
Step-by-step explanation:
The volume of a rectangular prism is 5,890.625 cm3. If the height is 14.5 cm and the length is 25 cm, what is the value of the width?
Answer:
Step-by-step explanation:
The formula for the volume of a rectangular prism is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.
We know that V = 5,890.625 cm^3, h = 14.5 cm, and l = 25 cm.
Substituting these values into the formula, we get:
5,890.625 = 25w(14.5)
5,890.625 = 362.5w
w = 16.25
Therefore, the width of the rectangular prism is 16.25 cm.
Answer:
It's A
Step-by-step explanation:
well all you have to do is divide like 5,890.625 dvided by 14.5 then divide again by 25 them bam you got 16.25
1. When two lines cross, the opposite angles are ___________ angles and are congruent. *
Straight Angle
Adjacent Angles
Angle Addition Postulate
Vertical Angles
2. Two angles that share a side and a vertex but do not overlap. *
Straight Angle
Adjacent Angles
Angle Addition Postulate
Vertical Angles
3. Two angles whose measures add up to 180 degrees. *
Angle Addition Postulate
Adjacent Angles
Supplementary Angles
Vertical Angles
Answer:
1. vertical angles
2. Adjacent angles
3. Supplementary angles
Step-by-step explanation:
help me answer this please
Answer:
3,952 ft
Step-by-step explanation:
Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.
sin8°=\(\frac{550}{c}\)
csin8°=550
c=550/sin8°
c= 3,952
What is an equation of the line that passes through the point ) (8,−5) and is parallel to the line
5x+4y=24?
By rearranging the equation, we get the equation of the line parallel to 5x + 4y = 24 that passes through the point (8, -5) as y = (-5/4)x + 5.To find the equation of a line parallel to another line, we need to determine the slope of the given line.
The equation of a line can be written in slope-intercept form as y = mx + b, where m represents the slope.
To determine the slope of the given line 5x + 4y = 24, we need to rearrange the equation in slope-intercept form. First, subtract 5x from both sides: 4y = -5x + 24. Next, divide all terms by 4: y = (-5/4)x + 6. Therefore, the slope of the given line is -5/4.
Since the line we are looking for is parallel to this line, it will also have a slope of -5/4. Now we can use the point-slope form of a line to find the equation. The point-slope form is given as y - y1 = m(x - x1), where (x1, y1) represents the given point (8, -5) and m is the slope.
Substituting the values into the equation, we have y - (-5) = (-5/4)(x - 8). Simplifying further, y + 5 = (-5/4)x + 10.
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F(x-3)=x^2-1. F(0)=?
The answer is f(x−3)=x2
I need help with this question but no one is helping me! Can someone please help me.
Which equation represents the statement: Three times the sum of a number and 5 is -30
Answer:
Not 100 percent but im pretty sure it is 3(n+5)=-30 i found other sites saying its that its up to you if you wanna believe me
Step-by-step explanation:
Solve for a.
a+45=112
Enter your answer as a fraction in simplest form in the box.
a =
Answer:
67
Step-by-step explanation:
a+45=112
-45. -45
a=67
Hopes this helps please mark brainliest
Answer:
a = 67
Step-by-step explanation:
Given equation,
→ a + 45 = 112
Now the value of a will be,
→ a + 45 = 112
→ a = 112 - 45
→ [ a = 67 ]
Hence, the value of a is 67.
Click on all the shapes that can be created by cutting a rectangular pyramid perpendicular to its base.
A. pentagon
B. rectangle
C. square
D. trapezoid
E. triangle
The shape that we obtained will be a triangle. Then the correct option is E.
What is the pyramid?In terms of geometry, a pyramid is a polygon that is created by joining an apex and a polygonal base. A triangle known as a lateral face is formed by each base edge and apex. It has a polygonal basis and is a conic solid. There are n + 1 points, n + 1 sides, and 2n edges in a pyramid with an n-sided base. Every pyramid is dual in itself.
If the base of the pyramid is a rectangle then the pyramid is known as a rectangular pyramid.
If the pyramid is separated by slicing a rectangular pyramid perpendicular to its base. Then the shape that we obtained will be a triangle.
Then the correct option is E.
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solve the system of equations y = 2x - 5; y = -2x + 3
Answer:
Solving gives us the result, x = 2, y = -1
Step-by-step explanation:
The system of equations is,
y = 2x-5
y=-2x+3
equating the two equations, we get,
(since y = y)
\(2x-5 = -2x + 3\\4x -5 = 3\\4x = 3+5\\4x=8\\x=8/4\\x=2\)
and then since y = 2x-5
\(y=2(2)-5\\y=-1\)
so, x =2, y = -1
College mathematics
Construct a Venn diagram illustrating the sets below.
U = {1,2,3,4,5,6,7,8}
X={1,2,3,6,8}
Y={1,2,5,6}
Answer: See the Venn diagram below
Explanation:
The numbers 1, 2, and 6 are in both set X and set Y. These numbers go in the overlapped region of the circles.
Since 1,2,6 is already taken care of, the remaining values in set X (3 and 8) will go in circle X, but outside circle Y.
The value 5 goes in circle Y, but it's outside circle X.
So far we talked about the numbers 1,2,3,5,6,8. But we're missing 4 and 7. These numbers go outside both circles. Everything is inside the universal set, i.e. the rectangle.
help so i cna get out of class
Based on the given conditions, the lock solution is 205.
How to solve a lock?To solve the lock, to calculate the total score based on the given conditions:
Crocus: + 20
Daffodil: + 25
Snowflake: - 50
Tulip: + 30
Bird-Red: + 25, else + 10
Calculating the scores for each input:
TULIP: +30
CROCUS: +20
DAFFODIL: +25
TULIP: +30
DAFFODIL: +25
TULIP: +30
DAFFODIL: +25
CROCUS: +20
Total score = 30 + 20 + 25 + 30 + 25 + 30 + 25 + 20 = 205
Therefore, the solution for the lock is 205.
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Image transcribed:
SPRING NOW LOADING.
<IF CROCUS, THEN +20>
<IF DAFFODIL, THEN +25>
<IF SNOWFLAKE, THEN -50>
<IF TULIP, THEN +30>
<IF BIRD-RED, THEN +25, ELSE + 10>
TULIP
CROCUS
DAFFODIL
TULIP
DAFFODIL
TULIP
DAFFODIL
CROCUS
Solve Lock
Find m/ABC.
A. 81°
B. 86°
C. 47°
D. 49.5°
99°
B
D
94%
The value of m ∠ABC=86° ,because of the cyclic quadrilaterals.
Hence, Option (B) is correct.
Since, We know that,
A cyclic quadrilateral is a four-sided polygon whose vertices all lie on a common circle.
The opposite angles of a cyclic quadrilateral have a total of 180°.
Hence, We can formulate;
m ∠ABC + m ∠ADC = 180°
m ∠ABC + 94° = 180°
m ∠ABC = 180° - 94°
m ∠ABC = 86°
Similarly, one can find m∠DCB
m∠DAB + m∠DCB = 180°
99° + m∠DCB = 180°
m∠DCB = 180° - 99°
m∠DCB = 81°
Hence, m∠ABC = 86°
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