Answer:
∠ T = 82°
Step-by-step explanation:
In a Isosceles trapezoid, any lower base angle is supplementary to any upper base angle , so
∠ T + ∠ P = 180°
∠ T + 98° = 180° ( subtract 98° from both sides )
∠ T = 82°
A nutrition company is marketing a low-calorie snack brownie. A serving size of the snack is 3 brownies and has a total of 50 calories.
(a) Determine how many calories 6 brownies would have.
(c) Determine how many calories 14 brownies would have. Round to the nearest calorie.
(b) Determine how many calories 21 brownies would have.
(d) If c represents the number of calories and b represents the number of brownies, write a proportional relationship involving c and b and solve it for c.
(e) Graph the proportional relationship you found
in part (d) on the grid shown. 300
200 100
(f) Using the graph, what is the smallest whole number of brownies a person would need to eat in order to consume 125 calories? Illustrate on your graph.
(g) Algebraicallydeterminethenumberofbrownies a person would need to eat in order to consume 300 calories.
Answer:
Step-by-step explanation:
R
The number of calories in 14 brownies is 233 calories.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
given that,
A nutrition company is marketing a low-calorie snack brownie. A serving size of the snack is 3 brownies and has a total of 50 calories.
The first step is to determine the average calorie in 1 brownie.
Average calorie = 50 calories / 3 = 16.667 calories
In order to determine the number of calories in 14 brownies, multiply the average calorie by 14 brownies.
Total calories = 16.67 x 14 = 233 calories
Hence, The number of calories in 14 brownies is 233 calories.
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Bub buys a t - shirt for $7.45. He pays with a $20 bill . How much change will he get
Answer:
12.55
Step-by-step explanation:
1cm
1
6 cm
Diagram NOT
accurately drawn
Scm
11 cm
9 cm
| 6cm
18 cm
The diagram shows a shape.
All of its corners are right angles.
Work out the area of the shape.
Answer:
110cm²
Step-by-step explanation:
*Diagram is ALSO not accurately drawn
18cm-6cm-5cm=7cm
11cm-9cm=2cm
Area:
11cm×6cm=66cm²
7cm×2cm=14cm²
6cm×5cm=30cm²
Area of the shape:
66cm²+14cm²+30cm²=110cm²
154 sq. cm is the area of a circle
so find its radius
[tex]\pi =\frac{22}{7}[/tex]
Answer:
r = 7 cm
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( where r is the radius )
Given A = 154 , then
πr² = 154 , that is
[tex]\frac{22}{7}[/tex] r² = 154 ( multiply both sides by 7 to clear the fraction )
22r² = 1078 ( divide both sides by 22 )
r² = 49 ( take square root of both sides )
r = [tex]\sqrt{49}[/tex] = 7 cm
If 4 notebooks and 3 packages of pens cost $7.43 and 5 notebooks and 2 packages of pens cost $7.03, what is the price of 1 notebook?
A) $0.89
B) $0.79
C) $1.29
D) $1.09
5(4x + 3y) = $7.43 × 5
or, 20x + 15y = $37.15 ...(3)
Multiply equation (2) with 4, we get4(5x + 2y) = $7.03 × 4
or, 20x + 8y = $28.12 ...(4)
Subtract (4) from (3), we have20x + 15y-(20x + 8y) = $37.15 - $28.12
or, 7y = $9.03
or, y = $1.29
4x + 3y = $7.43or, 4x + 3($1.29) = $7.43
or, 4x + $3.87 = $7.43
or, 4x = $7.43 - $3.87
or, 4x = $3.56
or, x = $0.89
Answer:
A) $0.89
Hope you could get an idea from here.
Doubt clarification - use comment section.
pls answer quickly
This Histogram shows the heights in inches of members of a middle school volleyball team.
How many members are between 50 and 70 inches tall?
A. 12
B. 10
C. 6
D. 4
Answer:
B. 10
Step-by-step explanation:
Look at the chart.
Find how many members are 50-60 inches tall. (6)
Find how many members are 61-70 inches tall. (4)
Add each member count up. (10)
someone please help me! the question is 18.
2 2/5 - 1 1/3 + 3 1/2
Answer: 4 17/30
Step-by-step explanation:
2 2/5 - 1 1/3 + 3 1/2
(2 12/30 - 1 10/30) + 3 15/30
1 2/30 + 3 15/30 = 4 17/30
Have a nice day, and if you could be so nice as to give me a brainliest
How many degrees in 0.375
of a full turn?
Answer:
135°
Step-by-step explanation:
A full turn is 360°, so 0.375 of a full turn is ...
0.375 × 360° = 135° . . . . degrees in 3/8 turn
which is the better deal $2.98 for 2 liters of soda or $7.40 for 5 liters? find the unit price of the better deal on the coloring sheet.
Answer:
7.40 for 5 liters
Step-by-step explanation:
2.98/2= 1.49
7.40/5= 1.48
Hope this Helps :)
Can u mark me the brainliest
Solve for the value of R.
SOMEONE PLEASE HELP ILL GIVE YOU POINTS AND BRAINLIST ANSWER !!!
Step-by-step explanation:
[tex](3r + 4) + (8r - 2) = 90[/tex]
[tex]3r + 4 + 8r - 2= 90[/tex]
[tex]11r = 88[/tex]
[tex]r = \frac{88}{11} \\ [/tex]
[tex]r = 8[/tex]
Which is a better deal: A can of 3 tennis balls for $3 or a box of 10 balls for $9?
Answer:
10 for 9$
Step-by-step explanation:
because say the each ball cpsts a dollar, and the total for 3 would be 3$ for the cost of 10 would be 9 so its less but more mo ey spent
The rainfall recorded in a certain city is given below. Calculate the average rainfall. 2.54 cm, 1.75 cm, 3.05 cm, 5.00 cm, 3.72 cm and 4.34 cm.
if you answer then i will mark you brainliest!!!
Answer:
3.4 cm
Step-by-step explanation:
average is the sum of all the values then divided by the number of values.
The average rainfall for the given values is 3.40 cm while The rainfall recorded in a certain city.
The average rainfall can be calculated by adding up all the recorded rainfall values and then dividing the sum by the number of values.
Let's calculate the average rainfall for the given values: 2.54 cm, 1.75 cm, 3.05 cm, 5.00 cm, 3.72 cm, and 4.34 cm.
Step 1: Add up all the values: 2.54 cm + 1.75 cm + 3.05 cm + 5.00 cm + 3.72 cm + 4.34 cm = 20.40 cm
Step 2: Divide the sum by the number of values (which is 6 in this case): 20.40 cm / 6 = 3.40 cm
Therefore, the average rainfall for the given values is 3.40 cm.
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if f(x) = 2x^ 2 + 3x,then what is f(−9)?
Answer:
f(-9) = 135
Step-by-step explanation:
Replace x with -9, and evaluate the expression.
f(x) = 2x² + 3x
f(-9) = 2(-9)² + 3(-9)
f(-9) = 2(81) - 27
f(-9) = 162 - 27
f(-9) = 135
16/32= 0/14 what is the awnser
[tex]\dfrac{16}{32} = \dfrac{O}{14}\\\\\implies \dfrac 12 = \dfrac O{14}\\\\\implies O = \dfrac{14}2 = 7[/tex]
Hannah makes $46,675 per year, how much will she make each paycheck if she is paid
weekly?
Answer: $897.6
Step-by-step explanation: 46,675 a year, 52 weeks in a year. 46,675/52=897.6
3(2/3p+3-1/3p-5) What is the simplified version of this equation.
Answer: p+1
Step-by-step explanation:
3(2/3p+3-1/3p)
=3(1/3p+3)
=p+1
Can someone pls help me with this!!
Answer:
(-8,7)
(4,3)
(16,-1)
Step-by-step explanation:
I feel as though there is a formula for this but I cannot remember at the moment so I am gonna do it the long way!
2(-8) + 6(7) =26
-16 + 42 + 26
26 = 26 Yes
____________
2(-1) + 6(4) =26
-2 + 24 =26
22 = 26 No
____________
2(2) + 6(5) =26
4+30 = 26
34 =26 No
____________
2(4) + 6(3) =26
8+18
26 = 26 Yes
____________
2(16) +6(-1) =26
32 + (-6)
26=26 Yes
____________
Hope this helps!!
Please correct me on any mistakes I enjoy learning from them:)
Lucia brought 13 2/5 pitchers of juice to a volleyball game, and the players drank 5 4/5
pitchers of it. How much juice is left?
Write your answer as a fraction or as a whole or mixed number.
Answer:
7 3/5 or 38/5
Step-by-step explanation:
13 2/5 - 5 4/5 = 38/5 = 7 3/5
Two complementary angles are in the ratio 3: 2. The number of degrees in the smaller angle is
A. 18 B. 36 C. 54 D. 72
Answer:
Option B is the correct answer
Step-by-step explanation:
Complimentary angles mean sum of angles is [tex]90^{0}[/tex]
Let the smaller angle be [tex]x[/tex]
Other angle is [tex]90-x[/tex]
We have
Two complementary angles are in the ratio [tex]3: 2[/tex]
[tex]\frac{90-x}{x} =\frac{3}{2} \\\\180-2x=3x\\\\5x=180\\\\x=36[/tex]
Smaller angle is [tex]36^0[/tex]
Option B is the correct answer
6 out of every students in a school watched FIFA world cup final match on TV. What is the ratio of the number of students who watched the final match to those who did not?
A. 6:4
B. 6:10
C. 6:16
D. 4:10
PLS ANSWER ASAP!!! ILL MARK U BRAINLIEST!!!♡♡♡
Answer:
6:16
Step-by-step explanation:
plz mark as brain lst and like
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Hey guys, i need help on this one, thanks in advance.
Find the slope of the equation:
x - 5 = 3 ( y + 4 ) -2y + 1
if you could add step's please do.
Answer:
slope = 1
Step-by-step explanation:
1) expand those brackets on the left side my multiplying
x - 5 = 3y + 12 - 2y + 1
2) simplify by collecting like terms
x - 5 = y + 13
3) bring -5 to the right side by adding 5
x = y + 18
4) let's rearrange this equation in the form y = mx + c where m is the gradient (slope) and c is the y intercept. by subtracting 18 on both sides
y = (1)x - 18 (there is a 1 in front of the x, but we don't write it like that. m is 1)
y = x - 18
the slope is the gradient, which is 1
Solve the system of linear equations by substitution: (SHOW UR WORK)
y=5x-6
y=4x-2
Answer:
x = 4
y = 2
Step-by-step explanation:
1) y = 5x - 6
2) y = 4x - 2
sub 1 into 2
5x - 6 = 4x - 2
5x - 4x = 6 - 2
x = 4 ---> (3)
sub 3 into 2
y = (4 * 1) - 2
y = 4 - 2
y = 2
Answer:
4
Step-by-step explanation:
Since they both equal y, they are both equivinlent
[tex]5x-6=4x-2[/tex]
[tex]5x=4x+4[/tex]
[tex]x=4[/tex]
CHECK
[tex]20-6=16-2[/tex]
[tex]14=14[/tex]
You have two different savings accounts. For account A, the interest earned after 18 months is $12. If the interest rate is 3.2% for account A, how much is the principal? Give the equation and solution you used to solve this problem.
Answer:
P = $250
Step-by-step explanation:
Interest (I) = Principal (P) x Interest Rate (r) x Time (t, in years)
I = Prt
12 = P(.032)(1.5)
12 = .048P
12/.048 = P
P = 250
Solve the equation.
2x - 3 + 4x = 21
O x= -12
O x= -6
O x= 4
O x= 6
Pls help will give brainly
Answer:
y = - 2x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 4) and (x₂, y₂ ) = (2, - 8) ← 2 points on the line
m = [tex]\frac{-8-4}{2-(-4)}[/tex] = [tex]\frac{-12}{2+4}[/tex] = [tex]\frac{-12}{6}[/tex] = - 2
The line crosses the y- axis at (0, - 4 ) ⇒ c = - 4
y = - 2x - 4 ← equation of line
Is this a quadratic function? Why or why not?
Answer:
Not a quadratic function.
Step-by-step explanation:
DefinitionsA function is a relation wherein each input or x-value corresponds exactly to an output or y-value. In other words, a relation is a function if there are no repeating x-values.
Vertical Line Test :A way to determine whether a given graph represents a function is to perform the Vertical Line Test. Using the Vertical Line Test, we must draw vertical lines across the graph. If each of the vertical lines drawn intersects the graph at exactly one point, then the relation is a function.
⇒ The attached screenshot shows that the given graph fails the Vertical Line Test, as each vertical line drawn intersects the graph more than once. This means that those x-values correspond to more than one y-value. Specifically, x = 1 corresponds to the following y-values: y = -1 and y = 1. Hence, the given horizontal parabola is not a quadratic function.
Horizontal Parabola: Not a FunctionThe given graph represents a horizontal (or sideways) parabola.
The vertex form of the horizontal parabola is: x = a(y - k)² + h.
where:
a = Determines the direction of the graph's opening.
a > 0, the graph of the parabola opens to the right.a < 0, the graph of the horizontal parabola opens to the lefty = k is the horizontal axis of symmetry
k = determines the vertical translation of the graph
h = determines the horizontal translation of the graph
Equation of the Horizontal Parabola in Vertex Form:The vertex of the given graph occurs at the point of origin, (0, 0).
Let's use one of the given points on the graph, (1, 1), and substitute these values into the vertex form to solve for a :
x = a(y - k)² + h
1 = a(1 - 0)² + 0
1 = a( 1 )²
1 = a
Equation of the given horizontal parabola in vertex form:
⇒ x = (y - 0)² + 0 or x = y²
It is evident that in the vertex form of a horizontal parabola, the variable, y, is squared.
This implies that each x-values on the graph have more than one corresponding y-values:x = 1 has two y-values: y = -1, and y = 1.
x = 4 has two y-values: y = -2, and y = 2.
Thus, by definition of function, the given horizontal parabola is not a quadratic function, as it fails the vertical line test.
34x 10% discount. What the absolute FLIP
is the answer.
Answer:
You would pay $30.6, and the discount would be $3.4
Step-by-step explanation:
Because it is a 10% discount, you will only have to pay 90%. So: 0.9*34=30.6
Another way to solve it would be to calculate 10%, which would be 3.4, so 34-3.4=30.6
What type of triangle is AABC? Select all that apply.
Thank u
Answer:
obtuse and isosceles
Step-by-step explanation: