Answer:
8211 miles
Step-by-step explanation:
Delia flew 2416 miles on the first year of the job
She flew 3719 miles on the second year of the job
She flew 2076 miles more than the first and second year combined on the third year
= 2416+3719
= 6135
= 6135+2076
= 8211
Hence Delia flew 8211 miles on the third year
Find the area of the trapezoids. What is the Area of the trapezoids
A= Square units
Answer:
[tex]area = area \: of \: rectangle + area \: of \: triangles \\ = (6 \times 2) + ( \frac{1}{2} \times 6 \times 2) + ( \frac{1}{2} \times 6 \times 4) \\ = 12 + 6 + 12 \\ = 30 \: sq \: units[/tex]
Answer:
30
Step-by-step explanation:
1/6 + 1/2 x (2 -2/3)
Answer:
5/6
Step-by-step explanation:
See the steps below:)
Answer:
5/6
Step-by-step explanation:
PEMDAS
One type of candy mix contains 30% Smarties by mass. A second type contains 20% Smarties by
mass. What mass of the 30% mix is required to make a 500 gram mixture that will have 24%
Smarties by mass?
Answer:
200 grams
Step-by-step explanation:
Let us represent
The number of grams of
30% smarties = x
20% smarties = y
Hence:
x + y = 500
x = 500 - y
Hence:
30% × x + 20% × y = 24% × 500
0.3x + 0.2y = 120
Substitute 500 - y for x
Hence:
0.3(500 - y) + 0.2y = 120
150 - 0.3y + 0.2y = 120
Collect like terms
- 0.3y + 0.2y = 120 - 150
- 0.1y = -30
y = -30/0.1
y = 300
Solving for x
x = 500 - y
x = 500 - 300
x = 200
Hence,
The number of grams of
30% smarties = x = 200 grams
20% smarties = y = 300 grams
Therefore:
the mass of the 30% mix is required to make a 500 gram mixture that will have 24% Smarties by mass is 200 grams
Match each expression on the left with an equivalent expression on the right.
The expression on the left matched with an equivalent expression on the right are;
3x + 0 = 3x
5/3 - x + 1/3 = -3/2x + 2 + 1/2x
2x - 3 = x - 3 + x
2x - 6 = -6 + 2x
3/5 - 13/5 = -6.9 + 4.9
How to solve equivalent expression?3x + 0 = 3x
5/3 - x + 1/3
combine like terms
= 5/3 + 1/3 - x
= (5+1)/3 - x
= 6/3 - x
= 2 - x
-3/2x + 2 + 1/2x
combine like terms
-3/2x + 1/2x + 2
= (-3+1)x / 2 + 2
= -2/2x + 2
= -x + 2
2x - 3 = x - 3 + x
2x - 6 = -6 + 2x
3/5 - 13/5
= (3-13)/5
= -10/5
= -2
-6.9 + 4.9
= -2
Ultimately, an expression is said to be equivalent when the value on the right hand side is equal to the value on the left hand side.
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Determine the approximate area of trapezoid
Answer:
25 squared cm
Step-by-step explanation:
Use the formula A = [tex]\frac{1}{2}[/tex]h ([tex]b_{1} + b_{2}[/tex])
h = height
[tex]b_{1}[/tex] = base 1
[tex]b_{2}[/tex] = base 2
A = [tex]\frac{1}{2}[/tex] (5) (7.2 + 2.8)
A = 25
Please help me!!!! I have been stuck on this question for like a half an hour now.
Use the Distributive Property to simplify the expression 5(7x + 4).
5 (7x+4)
Answer:
35x + 20
Step-by-step explanation:
5 * 7x
and
5 * 4
then combine them with a plus sign
Answer:
35x + 20
Step-by-step explanation:
Distribute: 5(7x + 4)
5 • 7x = 35x
5 • 4 = 20
35x + 20
Hope this helps, good luck! :)
Help fast, thanks. Will mark brainliest. No links!!
Write the quadratic equation in standard form:
2x^2 - x - 17 = -5
Answer:
In Standard form...
2x² - x -17 +5 = 0
2x² - x - 12 = 0.
Have a great day bro!
Petra invests $8000 for 4 years she earned $2000 as compound interest find rate of interest
Answer:
r = 5.74%
Step-by-step explanation:
Compound interest formula is expressed as;
A = P(1+r)^t
P is the principal = $8000
A = P+I =8000 + 2000 = $10000
time t = 4years
Substitute
10000 = 8000(1+r)^4
10000/8000 = (1+r)^4
10/8 = (1+r)^4
1.25 = (1+r)^4
1.05737126344 = 1+r
r = 1.05737126344 - 1
r = 0.05737126344
r = 5.74%
This gives the rate of interest
The weight of a newborn baby panda weights 2.2 x 10-1 pounds. If an adult panda can weigh up to 1.2103 times more than a newborn panda how many pounds does an adukt panda weigh
Answer: [tex]0.4862\ \text{Pounds}[/tex]
Step-by-step explanation:
Given
Weight of a newborn baby is [tex]2.2\times 10^{-1}\ \text{pounds}[/tex]
If an adult panda weighs up to 1.2103 times more than a newborn panda
Then weight of an adult is given by
[tex]\Rightarrow 2.2\times 10^{-1}+2.2\times 10^{-1}\times 1.2103\\\Rightarrow 2.2\times 10^{-1}+2.6626\times 10^{-1}\\\Rightarrow 0.4862\ \text{Pounds}[/tex]
On a quiz there are four multiple-choice questions worth 3 points each and two true/false questionsworth 1 point each . Each multiple-choice question has five possible choices . If a student randomlyguesses on each question , what is the expected value of the student's score on the test ?
Answer:
The expected value of the student's score on the test is 3.4.
Step-by-step explanation:
Multiple choice questions:
worth 3 points.
Five possible choices, one of which is correct. So the expected value of the student in each multiple choice question is:
[tex]m = 3\frac{1}{5} = 0.6[/tex]
True/false questions:
worth 1 point.
2 options, one of which is correct, so the expected value for each is:
[tex]t = 1\frac{1}{2} = 0.5[/tex]
What is the expected value of the student's score on the test ?
4 multiple choice, two true-false. So
[tex]E = 4m + 2f = 4(0.6) + 2(0.5) = 2.4 + 1 = 3.4[/tex]
The expected value of the student's score on the test is 3.4.
A 5-inch candle burns down in 4 hours. How far has it burned after 7 1/2 hours?
Answer:
9 3/8 inches
Step-by-step explanation:
Inches of candle : hours it burned
= 5 inches : 4 hours
How far has it burned after 7 1/2 hours?
Let
x = how far it has burned (inches)
Inches of candle : hours it burned = x inches : 7 1/2 hours
Equate both ratios
5 inches : 4 hours = x inches : 7 1/2 hours
5/4 = x ÷ 7 1/2
5/4 = x ÷ 15/2
5/4 = x * 2/15
5/4 = 2x/15
Cross product
5 * 15 = 4 * 2x
75 = 8x
x = 75/8
x = 9 3/8 inches
x = how far it has burned (inches) = 9 3/8 inches
simply the complex numbers: (2 + 5i)(1 – 3i)
Answer:
17 just multiply the like dot product of vectors
What is the arithmetic mean of the following
numbers?
4,9,6, 3, 4,2
Step-by-step explanation:
the arithmetic mean are 14
For the drawing, provide the missing lengths. x= hypotenuse y= leg
Answer:
Above picture is the solution for your question
Step-by-step explanation:
Use relation of trignometric ratio to get answer
Answer:
[tex]x = \frac{7}{ \sin(45 \degree) } \\ x = {7 \sqrt{2} } \\ [/tex]
[tex]y = \frac{7}{ \tan(45 \degree) } \\ y = 7[/tex]
[tex] {\boxed{ x = 7 \sqrt{2} }} \\ { \boxed{y = 7}}[/tex]
Select the perfect square trinomial from among the options below!
you will be marked as brainliest
A ) ( x - 3 )( x + 1 ) [ not perfect ]
B ) ( x + 5 - √5 )( x + 5 + √5 ) [ n p ]
C ) ( x + 2 + 2√2 )( x + 2 - 2√2 ) [n p ]
D ) ( x - 6 )( x - 6 ) = ( x - 6 )^2 [ perfect ]
Thus the correct answer is option D .
Consider this right triangle.
Enter the ratio equivalent to tan(R).
Answer:
tan r = 35/12
Step-by-step explanation:
you use the rule tan=opposite/adjacent
The required ratio equivalent to tan(R) for triangle RTS is 35 / 12.
A triangle RTS is given with perpendicular = 35 base = 12 and the hypotenuse = 37
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
What is simplification?
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
In order to find out the ratio equivalent to tan(R).0
We know that,
tan(r) = perpendicular / base
from given,
tan (R) = 35 / 12
Thus, the required ratio equivalent to tan(R) for triangle RTS is 35 / 12.
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Which of the following is a repeating decimal?
A: 1/9 B: 4/8 C: 14/7
Can you solve 8n- 4= 52
Answer:
Add 4 to both sides of the equation
8n-4=52
8n-4+_4=52+_4
round to the nearest 10th
Answer:
look below
Step-by-step explanation:
To round a number to the nearest tenth , look at the next place value to the right (the hundredths). If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the tenths place, and then remove all the digits to the right.
8. Solve the equation
x² - 1 = 48
Answer:
x^2-1=48
x^2=48+1
x^2=49
x=[tex]\sqrt{49}[/tex]
x=7
Step-by-step explanation:
63
The graph below shows the quadratic function and the table below shows the quadratic function g.
1x)
1
0
X
-4
4
4
0
X
-1
0
1
2
3
4
5
(X) 13
8
5
4.
5
8
13
Which statement is true?
OA The functions fand g have different axes of symmetry and different intercepts.
ОВ. The functions and g have the same axis of symmetry, and they intercept of fis less than the y-intercept of g.
OC. The functions fand ghave the same axis of symmetry, and the intercept of fis greater than the y-intercept of g.
21 Edmentum. All rights reserved.
854 and 13 x this statment is true
The functions f and g have different axes of symmetry and different intercepts. This statement is true. Therefore, the correct option is option A.
What is quadratic function?In maths, a quadratic of degree 2 in one or maybe more variables is referred to as a quadratic polynomial. The polynomial function that a quadratic polynomial defines is known as a quadratic function. Prior to the 20th century, the terms "quadratic polynomial" meaning "quadratic function" were practically interchangeable since it was difficult to distinguish between a polynomial and the related polynomial function.
Authors often mean "having degree approximately 2" and other times "having level at most 2" when they refer to a quadratic polynomial. The functions f and g have different axes of symmetry and different intercepts. This statement is true.
Therefore, the correct option is option A.
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Your question is incomplete but most probably your full question was,
The graph shows the quadratic function f, and the table shows the quadratic function g.
Which statement is true?
A. The functions f and g have the same axis of symmetry and the same minimum values.
B. The functions f and g have the same axis of symmetry, but the minimum value of f is greater than the minimum value of g.
C. The functions f and g have different axes of symmetry and different minimum values.
D. The functions f and g have the same axis of symmetry, but the minimum value of f is less than the minimum value of g.
Can someone help me with this thank you
Answer:
30 sq cm
Step-by-step explanation:
The area of a parallelogram is the base times the height. We can see that the base is 10 cm, and 3 cm would be the height because it is perpendicular to the base. We get the equation:
Area = 10 cm x 3 cm
Area = 30 sq cm
help me please this is urgent!
Answer:
D.
Step-by-step explanation: they can be different widths
Multiply. Express your answer in simplest form. 3 1/2 x 1 2/5. Show work.
Answer:
4 9/10
Step-by-step explanation:
Please I need help asap
Answer:
area of a triangle
1/2 base ×height
1/2×15×8.5
=63.75cm ^2
Answer:
63.75cm^2 / square centimeters
Step-by-step explanation:
The area of a triangle is calculated by multiplying 1/2 times the base, times the height.
A = (1/2)(base)(height)
A = (0.5)(15)(8.5)
A =63.75
The cylinder is 40 feet tall and has a radius of 20 feet. The cone is 10 feet tall with the same radius. Approximately how many cubic feet of grain can fit in the silo?
Answer:
54461.33 cubic feet
Step-by-step explanation:
Given data
Height of cylinder= 40 feet
Radius= 20feet
Height of cone= 10 feet
Radius of cone= 20feet
Volume of Cylinder= πr^2h
Volume of Cylinder= 3.142*20^2*40
Volume of Cylinder= 3.142*400*40
Volume of Cylinder= 50272 cubic feet
Volume of Cone= 1/3πr^2h
Volume of Cylinder= 1/3*3.142*20^2*10
Volume of Cylinder= 1/3*3.142*400*10
Volume of Cylinder= 1/3*12568
Volume of Cylinder=4189.33 cubic feet
Hence, the volume of the silo = volume of cylinder+ volume of cone
Volume of silo= 50272+4189.33
Volume of silo=54461.33 cubic feet
PLEASE HELP!! THIS FOR THE LAST ASSIGNMENT FOR THE SUMMER!!! 20 POINTS FOR ANSWER AND END OF SCHOOL YEAR!!!
A writer has just finished typing the manuscript for a book that is 354 pages long. There is one illustration on every thirtieth page, starting on page 1. How many illustrations are there?
A. 13 illustrations
B. 11 illustrations
C. 14 illustrations
D.12 illustrations
Answer:
11
Step-by-step explanation:
dont forget to five-star and heart!
Work out the size of the angle marked X.
Give your answer correct to 1 decimal place.
Answer:
41.8°
Step-by-step explanation:
We solve using the Trigonometric function of Sine
Hypotenuse = 15cm
x = θ
Opposite = 10cm
sin θ = Opposite/Hypotenuse
sin θ = 10/15
θ = arc sin ( 10/15)
θ = 41.810314896°
θ = Approximately to 1 decimal place = 41.8°
Therefore, x = θ = 41.8°
In ΔQRS, the measure of ∠S=90°, SR = 45, QS = 28, and RQ = 53. What is the value of the tangent of ∠Q to the nearest hundredth?
Answer:
Aprox: 1.61
Step-by-step explanation:
TOA: Tan Q = Opposite/Adjacent = 45/28 ---> 1.61
Answer:
28/45≈1.6071≈1.61
Step-by-step explanation: