Answer:
43.75 mph
Step-by-step explanation:
Divide 75 by 4 and divide 4 by 4 which gets the unit rate
The unit rate that represents 175 miles in 4 hours is 43.75 miles per hour.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, The distance covered in 4 hours in 175 miles.
We know, Distance = speed×time.
Therefore, 175 = 4×s.
s = 175/4.
s = 43.75 miles per hour.
learn more about the unitary method here :
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Our principal has to travel from one city to the next city at an average speed of 50km/hr. Compute for the distance between 2 cities
Answer:
The answer is false or "impossible"
Step-by-step explanation:
Heres why I say this:
If the “average speed” in one hour make the car travel 50km, it means the speed could not be constant. So, it could be 90km/h during the first 30 minutes and 10km/h during the second 30 minutes. If this is the case, for example, in the next 12 minutes after the first hour, the car could be traveled 18km at 90km/h, completing 50 + 18 = 68km. The tricky word “average” makes it impossible to answer. Good try, but no cigar.
Alice drew a rectangle with a perimeter of 30 cm and an area of 56 cm2. Which dimensions match Alice's rectangle?
Answer:
The dimensions that match Alice's rectangle are 7 cm and 8 cm.
Step-by-step explanation:
The perimeter of the rectangle is given by:
[tex] P = 2(a + b) = 30 cm [/tex] (1)
Where a and b are the sides of the rectangle
Also, the area of the rectangle is:
[tex] A = a\times b = 56 cm^{2} [/tex] (2)
By solving equation (1) for a, we have:
[tex] a = 15 cm - b [/tex] (3)
Now, by entering equation (3) into (2) we can find one side of the rectangle:
[tex] 56 cm^{2} = (15 cm - b)\times b [/tex]
[tex] b^{2} - 15b + 56 = 0 [/tex]
Solving the above quadratic equation we have:
b₁ = 7 cm and b₂ = 8 cm
Now, the other side of the rectangle can be calculated with equation (3):
[tex] a = 15 cm - b_{1} = 15 - 7 cm = 8 cm [/tex]
or
[tex] a = 15 cm - b_{2} = 15 - 8 cm = 7 cm [/tex]
Taking the first solution (b₁) or the second (b₂), we find that the dimensions that match Alice's rectangle are 7 cm and 8 cm.
Therefore, the dimensions that match Alice's rectangle are 7 cm and 8 cm.
I hope it helps you!
The radius of a circle is 5 units what's the diameter of a circle?
Answer:
10
Step-by-step explanation:
The radius is half of the diameter, so 5 * 2 = 10
Answer:
diameter=2×radius=2×5=10units
n is an even number. the smallest even number succeeding is
options:
n+2
n+3
n+4
n+1
Answer:
n+2 ...................... As addition of two even number make even and addition of one even and one odd makes odd so we can add 3 and 1 as it will result in odd .
if you solve x-7=9 what is the value of x
Answer:
16
Step-by-step explanation:
9+7=16
Can someone tell me how to solve -3x-4y=-2 and y=2x-5 in elimination form!!!!!
what is V(0)=80(0.4)t
Complete the table using the equation y = 6x +3.
Car Survey In a survey of 2,000 people who owned a certain type of car, 1,400 said they would
buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
70%
Step-by-step explanation:
1. 1400÷2000 = 0.07
2. move the decimal over 2 spaces for a percentage 0.07 --> 70.0
3. 70.0 = 70%
a taxi service charges $2.40 for the first mile of a ride and $1.40 for every additional mile. linda planned to give a $2 tip for the taxi driver. how many miles can she ride for $10?
Answer:
5 miles
Step-by-step explanation:
2 as a baseline then add 2.40 for first mile which then comes up to 4.40. 4.40 plus 1.40 = 5.80 plus 1.40 = 7.20 plus 1.40 = 8.60 plus 1.40 = 10. then we count the amount of 1.40's we added which was 4. and then we account for the first mile so there we have 5 miles
Answer:
5 miles
Step-by-step explanation:
Question 5
Write the equivalent expression by combining like terms.
-5x + 2y + 3x
plssss rn 45 POINTS
Answer:
D
Step-by-step explanation:
We are combining like terms So,
Step 1
-5x + 2y + 3x
Step 2
-5x + 2y + 3x combine like terms
(-5x+3x)+(2y) Then you simplify
-2x+2y
So therefore, your answer is D
0. The temperature drops 2 degrees per hour for 3 hours. Which of the
following expressions does NOT describe this change in temperature?
a. -2 + (-2) + (-2)
b. 2(3)
d. -2 - (2) - (2)
c. -2(3)
Answer:
B. 2(3)
Step-by-step explanation:
The other 3 all shows decreasing of 2 three times. 2(3) would be increasing.
Select the correct answer.
Which expression is equivalent to x + y+ x + y +30+5)?
A. 2x + 5y+ 5
B. 2x + y + 30
C. 2x + 5y + 15
D.2x + 3y + 10
Answer:
Step-by-step explanation:
Like terms have same variable with same exponent. Combine the like terms.
x + x = 2x {Just add the coefficient}
x + y + x +y + 30 + 5 = x +x + y + y + 30 + 5
= 2x + 2y + 35
I need answers I’ll cash app 10 dollars
1. 0 > 3x - 3 - 6
0 > 3x -9
9 > 3x
3 > x
It would be a closed circle starting from 3 going to the right.
2. 4x + 1 - 1 >/ -8
4x >/ -8
x >/ -2
It would be an open circle starting from -2 going to the right.
3. -1 </ 2n + 4 - 5
-1 </ 2n -1
0 </ 2n
Undefined.
4. -6 > 5n + 5 + 4
-6 > 5n + 9
-15 > 5n
-3 > n
It would be a closed circle going to the right
Find the perimeter of the
similar figure.
48cm
60cm
Perimeter = 120cm Perimeter = [?]cm
Answer:
[tex] \huge \boxed{ \boxed{ \sf parimeter = 150cm}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:similarityPEMDASequationtips and formulas:when two shapes are similar the rotio of two sides or area or parimeter is equallet's solve:[tex] step - 1 : define[/tex]
let the parimeter of second shape be x
[tex] \sf \frac{48}{60} = \frac{120}{x} [/tex]
[tex]step - 2 : solve[/tex]
[tex] \sf cross \: multiplication : \\ \sf 48x =72 00[/tex][tex] \sf divide \: both \: sides \: by \: 48 : \\ \sf \frac{48x}{48} = \frac{7200}{48} \\ \therefore x = 150[/tex]What is the value of x in the diagram?
(x + 45)
(x + 105)
if the addition if (X+45)° and (X+105)° equal 180°
due to they are a co- interior angles.
then X+45+X+105 = 180°
2X+150 = 180°
2X = 30
X = 15°
PLEASE HEEEELPPPP ASAP
Answer:
y = √(3² + 3²)
9 = √(5² + x²)
Step-by-step explanation:
Diagram 1:
Hypotenuse = y
Opposite = 3
Adjacent = 3
y² = 3² + 3²
y = √(3² + 3²)
y = √(9 + 9)
y = √18
Diagram 2:
Hypotenuse ² = known leg² + unknown leg²
Hypotenuse = 9
Known leg = 5
Unknown leg = x
9² = 5² + x²
9 = √(5² + x²)
9² = 5² + x²
9² - 5² = x²
x² = 81 - 25
x = √ 56
Explain how to write an equivalent expression using the
distributive property.
2(11 + y)
K
Answer: 22 + 2y
Step-by-step explanation:
2 x 11 = 22
2 x y = 2
2(11+y) = 22+2y
Answer:
22+2y
Step-by-step explanation:
2*11 + 2* y
22 + 2y
HTH
Katy inherited a savings account that was started by her grandfather 20 years ago. His investment can be modeled by the function
A(t) = 10,000(1.012)^t+ 20, where A(t) represents the value of the account, in dollars, t years after the inheritance. Which function is
equivalent to A(t)?
A)
A(t) = 10,000(1.012)^20
B)
A(t) = 10,000[(1.012)^t]^20
C)
A(t) = 10,000(1.012)^t (1.012)^20
D)
A(t) = 10,000[(1.012)^t + (1.012)^20]
6(x+8.5)=123
(equation)
Answer:
12
Step-by-step explanation:
6(x+8.5)=123
=> 6x + 51 = 123
=> 6x = 123 - 51
=> 6x = 72
[tex] = > x = \frac{72}{6} [/tex]
=> x = 12 (Ans)
Which of the following represents The linear equation 3x+y=2 in slope-intercept form
Select one:
A. y−2=−3x
B. y=−13x−2
C. y=−3x+2
D. y=3x+2
7-3y=34
What's y??
Plzzz help due today!!
Answer:
y = -9 (negative 9)
Step-by-step explanation:
7 - 3(-9) =
7 - (-27) =
34
Hope this helped and pls mark brainliest!
Answer:
y = -9Explanation:
7 - 3y = 34
Simplify both sides of the equation
7 − 3y = 34
7 + −3y = 34
−3y + 7 = 34
Subtract 7 from both sides
−3y + 7 − 7 = 34 − 7
−3y = 27
Divide both sides by -3
−3y / -3 = 27 / -3
Simplify
y = -9
I have a curved surface.
I have no flat surfaces
Answer:
A spehere
Step-by-step explanation:
A sphere only made up of a curved surface
on the other hand, a cone, cylinder, etc, have a flat surface. for a cone it's the floor. for a cylinder it's the ceiling and the floor of the object
Lisa has $300 in her bank account. She takes out $25 each week for w After w weeks she has d dollars left in her bank account. Write an equation that represents the amount of money left in her bank account after w weeks
Answer:
5 weeks 150 dollars
Step-by-step explanation:
Use Pythagorean Theorem to find a missing leg of a right triangle:
Will give b !
Answer:
Step-by-step explanation:
h^2=x^2+y^2
26^2=24^2+a^2
a^2=26^2-24^2
a^2=100
a=10
Number of basketball players that have signed up for a new league. What is a possible scenario that would be modeled by this equation? Consider how many teams in the league and the number of players on each team this equation could describe
Complete question :
consider the equation x/5-2=11. if x represents the number of basketball players that have signed up for a new league, what is a possible scenario that would be modeled by this equation?
Answer:
Kindly check explanation
Step-by-step explanation:
The Number of players that signed up for a new league can be modeled using the following information :
The number of players per team
The number of teams in the league
For the equation given :
x/5 - 2=11
x could represent the total number of players, with the number of teams in the league being 5 ;
if 2 players were to leave any of the teams ; we have 11 players in that team.
Answer:
The equation could model a scenario determining the number of players on each team in a league of five teams, if 2 players have to be taken out of the possible players to be referees and to keep score. There will be 11 players on each team.
Step-by-step explanation:
Use substitution to solve the system.
-5x + 3y = 14 y = 2x + 5
Answer:
=75y16 I think this is it
SOMEONE PLEASEEEEEEEE!!!!!!11
Robert's new hybrid car has a gas tank that holds 12 gallons of gas. When the tank is full, they can drive 420 miles. Assume that their car uses gas at a steady rate.
a. What is the unit rate:
b. Write the equation:
c. Use your equation to find out how many gallons of gas Robert will need to drive 287 miles. 287miles =
gallons of gas
Answer:
sorry i only know the answer of c
it's 8.2 gallons
Step-by-step explanation:
12 gallons = 420 miles
12 gallons = 420 miles? gallons =287 miles
420 miles ÷ 12 gallons = 35miles/gallon
420 miles ÷ 12 gallons = 35miles/gallon287 miles ÷ 35 miles/gallon = 8.2 gallons
Answer:
Step-by-step explanation:
Unit rate = (420 miles)/(12 gallons) = (420/12 miles)/gallon = (35 miles)/gallon
:::::
Fuel consumption = (number of miles) × (1 gallon)/(35 miles)
:::::
287 miles × (1 gallon)/(35 miles) = 8.2 gallons
Given f(x) = x + 1 and g(x) = 3x – 5,
what are
the restrictions on the domain when f(x)/g(x)
Answer:
There will be an asymptote at [tex]x=\frac{5}{3}[/tex], meaning the domain is restricted from (-∞, [tex]\frac{5}{3}[/tex])U([tex]\frac{5}{3}[/tex], ∞).
Step-by-step explanation:
When finding domain restrictions for an equation that has a fraction, take the denominator and set it equal to 0. Then, solve for x:
[tex]3x-5=0[/tex]
[tex]3x=5[/tex]
[tex]x=\frac{5}{3}[/tex]
Then we can determine that there's an asymptote at [tex]x=\frac{5}{3}[/tex] but that is the only restriction.
help me please!!! 23 brainly's
Step-by-step explanation:
We can create the following equation for Jada
[tex]28x + 20[/tex]
And the following for Mai
[tex]16x + 44[/tex]