Answer:
381.(3) [km.]
Step-by-step explanation:
if according to the condition distance=286 [km] per 3 hours, then it is possible to make up the equation:
[tex]\frac{286}{3}=\frac{d}{4};[/tex]
and to calculate required distance 'd':
[tex]d=\frac{286*4}{3}=381.(3)[km].[/tex]
Given triangle DEF where ∠D = (7b +1)∘, ∠E = (2b + 1)∘, and ∠F = ( b + 8)∘. What is the measure of ∠E?
=============================================
Explanation:
For any triangle, the three interior angles always add to 180.
D+E+F = 180
(7b+1) + (2b+1) + (b+8) = 180
(7b+2b+b) + (1+1+8) = 180
10b+10 = 180
10b = 180-10
10b = 170
b = 170/10
b = 17
Use this value of b to find the three angle measures
D = 7b+1 = 7*17+1 = 119+1 = 120E = 2b+1 = 2*17+1 = 34+1 = 35 degreesF = b+8 = 17+8 = 25As a check,
D+E+F = 120+35+25 = 120+60 = 180
which helps confirm the correct answers.
a school is arranging a field trip. the school spends 814.98 dollars on passes for 32 students and 2 teachers. they also spend 309.76 dollars on lunch for just the students. how much money was spent on a pass and lunch for each student?
Answer:
35.00?
Step-by-step explanation:
Area of rectangle and triangles!! HELP ASAPPP
Answer:
13. 15
14. 7.25
15. 18.7
16. 40.515
17. 9.6
18. 12.95
19. 20.4
20. 16.2
21. 24
22. 25.65
A machine cost $60000 its. depreciation is 10% per year. what is the value of the machine after two years simple depreciation
PNC charges a monthly fee of $8 on checking accounts and an overdraft protection fee of $35. Neela's online banking showed she had a balance of $530 when she wrote a check for $375. Three days later a charge of $273 that she had forgot about appeared on the same day that the check cleared. How much money must she deposit to raise her balance to 0 ?
The amount of money Neela needs to deposit to raise her balance to 0 is; $163
Since Neela's online banking showed she's been charged a monthly fee of $8 on checking accounts and an overdraft protection fee of $35.
Total charges = $8 + $35 = $43.Subsequently, she wrote a check of $375 in which case; Three days later a charge of $273 that she had forgot about appeared on the same day that the check cleared.
Total debit amount = $375 + $275 = $650.Total debit = $650 + $43 = $693Since the account showed she had a balance of $530.
Her new account balance is; $530 - $693 = -$163
Therefore, Neela needs to deposit $163 to raise her balance to 0.
Read more on arithmetics:
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Carlos cycles for 2 hours at a fast speed, then cycles for 3 more hours at a speed 10 km/h slower than this. If the entire distance travelled is 90 km, find Carlos’ speed in the first two hours of travel.
Answer:
f=24km/h
Step-by-step explanation:
Alright, here's what we know.
He travels 2 hours at a fast speed, lets call that speed f km/h
He then travels 3 hours at (f-10) km/h
In these 5 hours, he travels 90km
So we have the formula velocity = distance/time. If you don't know where that formula comes from, let me know and I'll explain.
So we have:
[tex]v=\frac{d}{t}[/tex]
d and t are given to us as 90 and 5 respectively
v is going to be his average speed, so we take 2 times the fast speed plus 3 times the slower speed and divide it by 5. This gives us the average speed he traveled over the 5 hours.
[tex]\frac{2f+3(f-10)}{5} =\frac{90}{5}[/tex]
2f+3f−30=90 by cancelling the 5's in the denominator and expanding 3(f−10)
5f=120
f=24km/h
So his faster speed is 24 km/h. Let me know if this solution did not make sense to you at any point.
cos teta divide by 1+cos teta equals to 1-tan teta divide by cos teta
Answer:
tan teta =cos teta is the answer
Draw the graph of y= -6
Answer:
See attachment.
Step-by-step explanation:
PLS HURRY!!! NO LINKS, NO STEALING POINTS, AND NO USELESS ANSWERS OR YOU WILL BE REPORTED!!!!!!
What type of triangle is this?
Answer:
It's an obtuse Scalene Triangle
Step-by-step explanation:
Look up triangle angle calculator and enter in the sides
Multiply: (3x)(x4 + 5)
Answer:
12x² + 15x
Step-by-step explanation:
(3x × 4x) + ( 3x × 15)
Answer:
(3x) (X 4+5)
3x×(x×4+5)
3x×(4x+5)
12x^2+15x answer
Dan earns £367 over the course of a five-day week. How much is that per day?
Divide total by number of days:
367/5 = 73.40 per day
the side length of a square is n cm.
Answer:
(c) Alicia, Bart, and Diego's answers are equivalent
Step-by-step explanation:
The perimeter of a square is the sum of the side lengths
n + n + n + n . . . . . Alicia's answer
= (n +n) +(n +n) = 2n +2n . . . . . Diego's answer
= (2 +2)n = 4n . . . . . . Bart's answer
Alicia, Bart, and Diego's answers are equivalent.
Find the area of a regular hexagon with side length of 2 m. Round your answer to the nearest tenth.
Answer:
12
Step-by-step explanation:
A regular hexagon has 6 equal sides
2 times 6 = 12
Answer:
10.4m²
Step-by-step explanation:
A≈10.39m²
A=33
2a2=3·3
2·22≈10.3923m²
= 10.4m²
D
E
B
с
5. Find the measure of angle BAC. Hint: What is the sum of the measures of the
vertex angles of the nine congruent isosceles triangles? (1 point)
HELP PLEASE!!!!!
The measure of angle BAC is 20 degrees
How to determine the measure of BAC?The angle on a straight line is 180 degrees.
There are 9 equal sections on the straight line.
This means that the measure of each section is:
Each section = 180/9
Evaluate
Each section = 20
So, we have:
BAC = 20 degrees
Hence, the measure of angle BAC is 20 degrees
Read more about congruent angles at:
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#SPJ2
what the first 3 prime numbers greater than 12
What is the length of AB?
Answer:
6
Step-by-step explanation:
What property does this question use 3(x+6)-2=28
Answer: Properties of Multiplication. You can use the properties of multiplication to evaluate expressions. Commutative Property. Changing the order of factors does not change their product. Example: a x b = b x a. 4 x 20 = 20 x 4. Associative Property. Changing the grouping of factors does not change their product.
PLS HELP Jake has two dogs, Euclid and Pythagoras. Euclid is a smaller dog and Pythagoras is larger. Jake found that Pythagoras lost 13 pounds from January to June. If Pythagoras gains 1.2 times Euclid’s weight, Pythagoras’s weight would still be 1 4 pound less than he did in January. What is Euclid’s weight? (a) Write an equation that represents the scenario. Begin by defining your variable. (b) Solve the equation. Show your work. (c) What is Euclid’s weight? (d) Jake adopts a third dog, Riemann. Riemann weighs exactly twice what Euclid weighs. The combined weight of the three dogs is 1 60 2 pounds. What is Riemann’s weight, and what is Pythagoras’s weight? Show your work.
Answer: (weight = w)
This is a lot to answer but. (A) (13 x 1.2) - 14 = w
w = 1.6
Step-by-step explanation:
A. (7)
Write an equation of a line that is perpendicular to y = 2/3 X + 8 and has a y-intercept of
2.
Answer in slope-intercept form
B. and write the following equation in slope intercept form y + 21 = x - 15
Simplify x⁷y⁹ ÷ x³y⁶
D. A car was sold for
$26,350. Its value decreases
by 17% each year.
a) Find an explicit formula
for cost of the car Cn after
the nth year.
b) What is the car's value
after 8 years?
c) After 3 years, how much
has the car's value
decreased?
a. The explicit formula for the cost of the car in the nth year is $26,350(0.83^n) .
b. The car's value after 8 years is $5,934.79.
c. The decrease in the value of the car is $11,283.41.
The formula that can be used to determine the value of the car with a decline in value is:
FV = P (1 - r)^n
FV = Future value of the car
P = cost of the car
R =rate of deprecation
N = number of years
Cost of the car after n years = $26,350 x (1 - 0.17)^n
$26,350(0.83^n)
Car's value after 8 years = $26,350 x (1 - 0.17)^8
$26,350(0.83^8) = $5,934.79
Decrease in the value of the car after 3 years= cost of the car - value of the car in 3 years
Value of the car in 3 years = $26,350 x (1 - 0.17)^3 = $15,066.59
$26,350 - $15,066.59 = $11,283.41
To learn more about future value, please check: https://brainly.com/question/18760477
Someone help me with this math question?
Answer:
B and D
Step-by-step explanation:
A triangle has an area of 16in^2 and a height of 4in. What is the length of the base?
Answer:
8 inches
Step-by-step explanation:
The area of a triangle is:
a = 1/2 × b × h
b = length of the baseh = heightWe can sub in the values we know:
16in² = 1/2 × b × 4in
To find b, we divide both sides by 1/2 and 4in:
16in² ÷ (1/2 × 4in) = b
16in² ÷ 2in = b
b = 8in
Hope this helps!
HELP HELP PLEASE!!!
consider the function rule: f(x) = 9x -7
a. find f(4)
b. find f(-2)
c. show or explain how the equation 9x - 7 = 65 can be solved using an "undoing process". Report a solution to the equation.
Answer:
f(4)=29
f(-2)=-25
x=8
Step-by-step explanation:
a. to find f(4), you need to substitute x with 4...
f(4)=9(4)-7
f(4)=36-7
f(4)=29
b. This is the same for f(-2)
f(-2)=9(-2)-7
f(-2)=-18-7
f(-2)=-25
c. 9x-7=65
+7 +7 to cancel the 7 out and to isolate the x
9x=72
divide both sides by 9
x=8
So basically f(8)=65
Answer:
a. f(4) = 29
b. f(-2) = -25
c. x = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTerms/Coefficients
Functions
Function NotationStep-by-step explanation:
Part A + B
Step 1: Define
Identify.
f(x) = 9x - 7
Step 2: Find
f(4)
Substitute in x [Function f(x)]: f(4) = 9(4) - 7[Order of Operations] Evaluate: f(4) = 29f(-2)
Substitute in x [Function f(x)]: f(-2) = 9(-2) - 7[Order of Operations] Evaluate: f(-2) = -25Part C
Step 1: Define
Identify.
9x - 7 = 65
Step 2: Solve for x
[Addition Property of Equality] Add 7 on both sides: 9x = 72[Division Property of Equality] Divide 9 on both sides: x = 8Find the equation of this line.
what is 2^3 x 2^18 simplified
Answer:
2097152 or 2^21
Step-by-step explanation:
Answer: [tex]2^{21}[/tex]
Step-by-step explanation: Exponents are combined when simplifying a multiplication equation.
9) Jamar drove 228 miles and used 6 gallons of gas.
a) How many miles/gallon did he get on the trip?
b) On another trip, he used 9 gallons of gas. How far did he travel?
Answer: 38 miles per gallon ; 342 miles.
Step-by-step explanation:
The miles/gallon that he got on the trip will be:
= 228/6
= 38 miles per gallon.
When he used 9 gallons of gas, the distance travelled will be:
= 38 × 9
= 342 miles
Answer:
Question :
Jamar drove 228 miles and used 6 gallons of gas.
a) How many miles/gallon did he get on the trip?b) On another trip, he used 9 gallons of gas. How far did he travel?Solution :
a) How many miles/gallon did he get on the trip?
[tex]{\implies{\sf{\dfrac{228}{6}}}}[/tex]
[tex]{\implies{\sf{ \cancel{\dfrac{228}{6}}}}}[/tex]
[tex]{\implies{\sf{\underline{\underline{\red{36 \: miles/gallon}}}}}}[/tex]
Hence, he get 38 miles/gallon for his trip.
[tex]\rule{200}2[/tex]
b) On another trip, he used 9 gallons of gas. How far did he travel?
[tex]{\implies{\sf{38 \times 9}}}[/tex]
[tex]{\implies{\sf{\underline{\underline{\red{342 \: miles}}}}}}[/tex]
Hence, he traveled 342 miles by using o gallon og gas.
[tex]\underline{\rule{220pt}{3pt}}[/tex]
Evaluate the figure below.
Find the value of x.
Formula for area of a rectangle: A = lw
Answer:
x=9,-7
Step-by-step explanation:
(x+3)(x-5)=48
x^2-2x-15-48=0
x^2-2x-63=0
(x-9)(x+7)=0
x=9,-7
dont use the negative number becuase it would not make sense in this scenario
width = 12
length=4
Two identical squares of sides 17 cm overlap to form a rectangle as shown below. The shaded part is the overlapping region
Answer:
B 68 sq cm
Step-by-step explanation:
There's an overlap of 4
2*13 + 4
4 * 17 is 68
Katie don't delete my work!
Can someone please take time out of their day and help me with this