Answer: 53.33 km/hr
Step-by-step explanation:
The total distance covered by car is 80 KM(40+40).
Now their are two cases:
Case 1) Distance covered 40km, speed 80km/h. Now we all know speed=Distance/ time
So Time taken is 0.5 hour.
Case 2) Now again distance covered is 40 km but speed is 40Km/h
So time taken is 1 hr
Now total distance traveled is 80KM. Total time taken is 1.5 hrs (0.5+1)
Average speed =Total Distance/Total Time
Average Speed = 80/1.5
Which is equal to 53.33km/h
ANSWER THIS AND ILL FRIEND YOU What is 4(5x+7)/2+5x simplified
Answer:
15x+14Step-by-step explanation:
[tex]4(5x+7)/2+5x\\\\\frac{20x+28}{2} +5x\\Simplify\\ 10x +14+5x\\10x+5x+14\\15x+14[/tex]
In 2007, there were more than 8.14 million cars for sale. The number of cars then decreased by 23% per year. Write an exponential growth or decay model given by the number of c cars over t years after 2007. Use this model to estimate how many cars there were in 2013?
Answer:
In 2013 there were approximately 2.2 million cars for sale.
Step-by-step explanation:
Since the number of cars is decreasing by 23% per year, it is a decay model. This types of decay can be expressed in the following expression:
[tex]cars(x) = cars(2007)*(1 - 0.23)^{x - 2007}[/tex]
Where x is the year, cars(2007) is the number of cars in 2007. Applying this data we have:
[tex]cars(x) = 8.14*(0.77)^{x - 2007}[/tex]
If we want to know the number of cars in 2013, we need to apply that value to x and solve the expression.
[tex]cars(2013) = 8.14*(0.77)^{2013 - 2007}\\cars(2013) = 8.14*(0.77)^{5} = 2.20332[/tex]
In 2013 there were approximately 2.2 million cars for sale.
Evaluate 2(4h−5)−6+h for h = −2.
Answer:
-34
Step-by-step explanation:
2(4(-2) - 5) -6 + (-2)
= 2 (-8 - 5) - 6 - 2
-8 - 5
= (2)(-13) - 6 - 2
= -26 - 6 - 2
+6 to ( -6 ) and ( -26 )
= -32 - 2
= -34
What value or values of x satisfy 2|x + 5.3| = 4.2? x can only equal –3.2. x can only equal 7.4. x can equal –3.2 or –7.4. x can equal –3.2 or 7.4.
Answer:
Step-by-step explanation:
We need to know how to deal with absolute values to solve this. Remember that absolute value is a distance measure, not a counting number. The absolute value is the distance that 2 numbers are away from a specific number on the number line; the distance from the number will be the same distance going right and left of the number. For example, if we are looking for the numbers that are 3 units from 0 on a number line, the 2 numbers that are 3 units away are 3 and -3.
We will simplify our absolute value equation a bit first by dividing away the 2 out front. It is very important that you realize/remember that you cannot distribute into absolute value signs the way you would parenthesis!! Dividing away the 2 gives us
| x + 5.3 | = 2.1
In words, this problem is asking us for the 2 values that are 2.1 units from 5.3 on a number line. Hence, when we remove the absolute value signs, we set the equation equal to both 2.1 and -2.1 because we want the values 2.1 units to the right AND left of 5.3:
x + 5.3 = 2.1 or x + 5.3 = -2.1 and we solve both:
for the first one, x = -3.2 and for the second one, x = -7.4. Your option is the third one: "x can equal -3.2 or -7.4".
Answer:
C
Step-by-step explanation: i was too lazy to read all of that and guessed and i was right lol
Work out the area of this circle with a radius of 6mm. Give your answer in terms of pi
Answer:36π mm^2
Step-by-step explanation:
Formula for area of a circle =
πr^2
r=6mm
π*6^2
π*36
36π mm^2
Answer:
36 π mm²
Step-by-step explanation:
r= 6 mm
A= πr²
A= π* 6²= 36 π mm²
Find the product: (50z + 20)(10z + 4) ( 1 ) 12. Find the product: (88a + 80)(8a + 8)
Answer:
1. 60z, 36
2. 96a, 88
Step-by-step explanation:
1.
First, find the like terms for z. (60z)
Second, find the like terms for 20, 4, and 12. (36)
2.
Combine the 88a and 8a (96a)
Then combine 8 plus 80 (88)
Answer:
(50z+20)(10z+4)
=50z(10z+4)+20(10z+4)
=500z²+200z+200z+80
=500z²+400z+80
(88a+80)(8a+8)
=88a(8a+8)+80(8a+8)
=704a²+704a+640a+640
=704a²+1344a+640
Step-by-step explanation:
i hope this will help you:)
\The sphere's radius is half the radius of the hemisphere. How does the volume of this hemisphere compare with the volume of the sphere?
Answer:
4 : 1 or 4 times
Step-by-step explanation:
V of sphere is
V = 4/3 π r³
then we can compare both of them dirextly
Vs : Vhs
4/3 π r³ : ½ (4/3 π (2r)³)
4/3 π r³ : ½ * 4/3 π 8r³
1 : ½ * 8
1 : 4
Vhs : Vs = 4 : 1
so the volume of hemisphere is 4 times bigger than the sphere.
Answer:
It is greater than the volume of the sphere.
Step-by-step explanation:
imagine math :D
HELP ASAP PLSSSS, I NEED HELP
Answer:
w=6
Step-by-step explanation:
w=6
If you double 5 on the bottom to get 10, you will also have to double 3 on the top.
An easy way you could do this is by cross products. 3(10)=5(w). w=6
Answer:
w = 6
Step-by-step explanation:
3/5 = w/10
Cross multiply.
10 × 3 = 5 × w
Multiply.
30 = 5w
Divide 5 on both sides.
30/5 = w
6 = w
The tip jar at a sandwich shop has been found to have a dollar value 0.65ℎ +1.25, where ℎ is the number of hours since the shop opened.
a. By how much is the value of the tip jar increasing
The tip jar is increasing by 65 cents per hour
b. How much is the initial value of the tip jar when the store opens?
Answer:
The intial value is 1.25
Step-by-step explanation:
need help plss hurry last day
Answer:
Write 21 in the soup column and 25 in the peanut butter column.
Explanation:
The ratio of cans of soup to jars of peanut butter was 7:5
If the jars of peanut butter were 15, then the cans of soup would be (7/5 × 15) = 21
If the cans of soup were 35, then the jars of peanut butter would be (5/7 × 35) = 25
What is the solution to this equation?
7x-2(x - 10) = 40
O A. x= 10
O B. x= 4
O c. x = 12
O D. x= 6
Answer:
B.
Step-by-step explanation:
The quickest and fastest way to do this is to guess and check. Simply plug in the given values one by one into a calc and you should see that x = 4 works.
Answer:
x=4
Step-by-step explanation:
7x-2(x - 10) = 40
Distribute
7x -2x +20 = 40
Combine like terms
5x +20 =40
Subtract 20
5x +20 -20 = 40-20
5x= 20
Divide by 5
5x/5 = 20/5
x =4
Please help ASAP Thankies ;-;
Answer:
RT
Step-by-step explanation:
The diameter goes from one side of the circle to the other side passing through the center
The only diameter given is RT
Drilon got 63 out of 72 correct in his test. What fraction of the marks did he get correct?
Answer:
Fraction = [tex]\frac{7}{8}[/tex]
Step-by-step explanation:
Total Marks = 72
Obtained Marks = 63
Fraction = [tex]\frac{Obtained Marks}{Total Marks}[/tex]
Fraction = [tex]\frac{63}{72}[/tex]
In simplified form
Fraction = [tex]\frac{7}{8}[/tex]
Which problem can best be solved with the inequality
40 – 3x2 5?
Answer:
1st option
Step-by-step explanation:
I’ll give you brainliest!!!! What is the slope of the line containing (-4.3) and (2,-1)
Answer:
D
Step-by-step explanation:
The difference in the x is 6
The difference in the y is -4
-4/6 = -2/3
Answer:
-2/3
Step-by-step explanation:
The slope of a line when given two points is found by
m= (y2-y1)/(x2-x1)
= (-1 -3)/(2 - -4)
= (-4)/(2+4)
= -4/6
-2/3
9. Write in point-slope form, slope-intercept form, and standard form an equation that passes
through (- 1, 2) with slope 4.
Answer:
work is shown and pictured
If y varies directly with x, and y is 14 when x is 2,
what is the value of x when y is 35?
X =
DONER
nt of
Answer: x = 5
Step-by-step explanation:
14 / 2 = 7
7 * 5 = 35
Same applies for x
2 / 2 = 1
1 * 5 = 5
solve for q 5q + 2p + 4 = 3q – 8
Answer:
q = -6 - p
Step-by-step explanation:
By collecting the like terms , we have:
5q - 3q = - 8 - 4 - 2p
2q = -12 - 2p
divide each term by 2 , we have
q = -6 - p
Answer:
q=-6-pSolution,
[tex]5q + 2p + 4 = 3q - 8 \\ or \: 5q - 3q = - 8 - 4 - 2p\\ or \: 2q = - 12 - 2p \\ or \: q = \frac{ - 12 - 2p}{2} \\ q = - 6 - p[/tex]
hope this helps...
Good luck on your assignment..
Please help me out on this!
Answer:
The answer is 22 degrees :)
Step-by-step explanation:
So you know that altogether the right angle forms 90 degrees,
if angles <DAC are 68 degrees you would subtract 90 degrees from 68 degrees because you already have the angle measure for i side now you subtract the total angle from the angle measure you know.
90-68=22 degrees
your answer would be 22 degress :)
3. Nancy and Harry are sliding a stone statue and moving it to a new location in their garden. Nancy is pushing the statue with a force of 120N at a 60° angle to the horizontal and Harry is pulling the statue with a force of 180N at a 40° angle with the horizontal. What is the magnitude of the horizontal force exerted on the statue?
Answer:
197,8879 N.
Step-by-step explanation:
The magnitude of the horizontal force exerted on the statue can be calculated using trigonometric functions.
The question given says that Nancy is pushing the statue with a force of 120 N at a 60° angle to the horizontal and Harry is pulling the statue with a force of 180 N at a 40° angle with the horizontal.
With that information can be calculated the horizontal force exerted on the statue by Nancy, the horizontal force exerted on the statue by Harry and, adding that results, the total horizontal magnitude can be calculated.
The cosine function can be used to calculate the horizontal component of the forces exerted by Nancy and Harry, to determine the horizontal component of the force exerted on the statue.
F= (120 N cos 60°) + (180 N x cos 40°)
F= 197,8879 N
find the value of x. m<2= x + 52
Answer: x = - 10
Step-by-step explanation:
a) Linear Pair: 138 + ∠a = 180° --> ∠a = 42°
b) Triangle Sum Theorem: ∠a + 2∠b = 180° --> ∠b = 69°
c) Vertical Angles Theorem: ∠b = ∠c --> ∠c = 69°
d) Congruent sides implies congruent angles: ∠c = ∠d --> ∠d = 69°
∠2) Triangle Sum Theorem: ∠c + ∠d + ∠2 = 180°
69° + 69° + ∠2 = 180°
∠2 = 42
x) m∠2 = 42
x + 52 = 42
x = -10
Given the line of best fit for a set of data points with the equation y=5x-2.5, what is the residual for the point (3,6)?
========================================================
Explanation:
For the x value x = 3, the observed y value is y = 6 which is from the point (3,6).
The predicted y value is found by plugging x = 3 into the line of best fit equation
y = 5x-2.5
y = 5(3)-2.5
y = 12.5
The residual is the difference between the two y values
e = residual
e = (observed y value) - (predicted y value)
e = 6 - 12.5
e = -6.5
The negative residual tells us the observed y value is smaller than the predicted y value for this given x value.
Anwen walks at an average
speed of 3 km/h for 2 hours
20 minutes. How far has Anwen
walked?
Answer:
7 km
Step-by-step explanation:
2 hours 20 minutes is 2 and 1/3 hours. 3 * 2 and 1/3 = 3 * 7/3 = 7km.
Answer: 7 km
Step-by-step explanation:
In 1 hour, he did 3 km
In 2 hours, he will do 6 km
20 minutes = 20/60 = 1/3
In 20 minutes, he will do 1/3 x 3 = 1 km
So total distance travelled = 7 km
Which point is located at (4, –2)? On a coordinate plane, point A is 2 units to the left and 4 units up. Point B is 4 units to the right and 2 units down. Point C is 4 units to the left and 2 units up. Point D is 2 units to the right and 4 units down. A B C D
Answer:
Point B is 4 units to the right and 2 units down
Step-by-step explanation:
Since our x is positive, we are going to the right of the x-axis (where positive values lay).
Since our y is negative, we are going down in the y-axis (where negative values lay).
Answer: point B matches (4,-2)
Step-by-step explanation:
Within parentheses, the first number is the x-coordinate. Positive numbers are given without the +sign and they go to the Right. Negative -numbers go to the left.
The second number is the y-coordinate. Positive numbers go up, -numbers that are negative go down.
In this example it will be 4 Right and 2 Down.
Simplify a^5 take away a^3
Answer:
Step-by-step explanation:
If it was like....[tex]\frac{a^{5}}{a^{3}}[/tex]
then you subtract 5 minus 3 to be left with a^2 on the numerator
That would be how you would take it away.
A surveyor leaves her base camp and drives 42km on a bearing of 32 degrees. She then drives 25km on a bearing of 154 degrees. How far is she then from her base camp and what is her bearing from it
Answer:
35.7 km and 248.3 °
Step-by-step explanation:
I will attach the diagram to an image to make it easier to understand.
We will use the formula corresponding to the law of cosine
y² = 42² + 28² - (2 * 42 * 25 * cos 58 °)
y² = 2389 - 1112.83 = 1276.17
y = √1276.17
y = 35.72 km
Now, to calculate the surveyor's bearing from her base camp we must use the sine law:
[(Sin 58 °) / y] = [(Sin A) / 42]
Without A = (42 * without 58 °) /35.72
A = sin⁻¹ (0.9971)
A = 85.7 °
Bearing of the surveyor from the base camp = 270 ° - (85.7 ° - 64 °) = 248.3 °
two polygons are similar. What is the correct similarity statement?
Answer:
option 3
Step-by-step explanation:
Given the 2 triangles are similar then corresponding angles are congruent.
Calculate the missing angles in both triangles.
∠ A = 180° - (90 + 35)° = 180° - 125° = 55°
∠ L = 180° - (90 + 55)° = 180° - 145° = 35°
Consider ACB ~ MNL , comparing corresponding angles
∠ A= 55° and ∠ M = 90° ← not congruent
Consider ABC ~ LMN, comparing corresponding angles
∠ A = 55° and ∠ L = 35° ← not congruent
Consider CBA ~ LMN , comparing corresponding angles
∠ C = 35° and ∠ L = 35° ← congruent
∠ B = 90° and ∠ M = 90° ← congruent
∠ A = 55° and ∠ N = 55° ← congruent
The correct similarity statement is
CBA ~ LMN
Answer: C) CBA ≅ LMN
Step-by-step explanation:
Match up the congruent angles:
∠C = 35°, ∠L = 90° - 55° = 35° --> ∠C ≡ ∠L
∠B = 90°, ∠M = 90° --> ∠B ≡ ∠M
∠A = 90° - 35° = 55°, ∠N = 55° --> ∠A ≡ ∠N
The similarity statement can be written in any order as long as the congruent angles are in the same placement (1st, 2nd, or 3rd).
ΔABC ≅ ΔNML
ΔBCA ≅ ΔMLN
ΔCAB ≅ ΔLNM
ΔCBA ≅ ΔLMN
ΔACB ≅ ΔNLM
ΔBAC ≅ΔMNL
Any of these similarity statements can be used!
Erin has x working toys and y broken toys. Bert plays with Ernie's toys and breaks 1/3 of the working toys. Ernie then throws aways 1/4 of all of the broken toys. In terms of x and y, how many toys did Ernie throw away,
Answer:
y/4 + x/12
Step-by-step explanation:
The number of working toys = x
The number of broken toys = y
Bert breaks 1/3 of the working toys, that is:
1/3 * x = x/3
The number of broken toys is now:
y + x/3
Ernie then throws away 1/4 of the broken toys. In terms of x and y, the number of broken toys that Ernie threw away is:
1/4 *(y + x/3)
= y/4 + x/12
Convert the following equation
into slope intercept form.
3x + y = -3
Answer: y = -3x -3
Step-by-step explanation:
y = mx + b
3x + y = -3
y = -3x -3
Answer:
slope intercept form: y=mx+c
*m = gradient
*c = y-intercept
3x + y = -3
y = -3x - 3
Find the slope of the line passing through (0,-5) and (-4, 7),
Answer:
m = -3
Step-by-step explanation:
The slope formula is y2 - y1 / x2 - x1
7 - -5 = 7 + 5 = 12
-4 - 0 = -4
12 / -4 = -3
I hope this helps :))