The graph in the figure shows the Smith family's driving plan for their vacation. If they want to stop and eat lunch after they've driven for 4 hours, how far will they have driven by lunchtime?Question 17 options:A) 120 milesB) 90 milesC) 60 milesD) 180 miles
Answers
ANSWER:
A) 120 miles
STEP-BY-STEP EXPLANATION:
We can determine at a distance through the graph, just like this:
This means that at 4 hours they have driven 120 miles.
Therefore, the correct answer is: A) 120 miles
Related Questions
[tex] \frac{1}{2} {x}^{2} + 1 = 2 \times - 1[/tex]Solve the equation
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Solve the system of equations:
4x-2y=10 (1)
y=2x-5 (2)
We can substitute 2 in 1:
4x-2(2x-5)=10
4x-4x+10=10
0=0
Since the solution of the system of equation is 0=0 we can say that it has infinite solutions.
graph the inequality x-2y less than or equal to 0
Answers
To graph the inequality, we can do the following steps.
Step 1: We rearrange the equation so y is on the left and everything else is on the right.
[tex]\begin{gathered} x-2y\le0 \\ \text{ Subtract x from both sides} \\ x-2y-x\le0-x \\ -2y\le-x \\ \text{ Divide by -2 from both sides} \\ \frac{-2y}{-2}\le\frac{-x}{-2} \\ y\ge\frac{x}{2} \end{gathered}[/tex]Step 2: We plot the line associated with the inequality. For this, we choose two values of x and replace them in the below equation.
[tex]\begin{gathered} x=2 \\ $$\boldsymbol{y=\frac{x}{2}}$$ \\ y=\frac{2}{2} \\ y=1 \\ \text{ Then, the lines passes through the point (2,1).} \end{gathered}[/tex][tex]\begin{gathered} x=4 \\ y=\frac{x}{2} \\ y=\frac{4}{2} \\ y=2 \\ \text{ Then, the lines passes through the point (4,2).} \end{gathered}[/tex]Since inequality has the symbol ≥, we make a solid line.
Step 3: Since inequality has the symbol ≥, we shade above the line. Therefore, the graph of the inequality is:
What are the roots for the trinomial below? *x2 – 2x – 15O x=-5,x=-3Ox=5,x=-3Ox=3,x=5O x=-5,x=3
Answers
ANSWER:
[tex]x=5,=-3[/tex]STEP-BY-STEP EXPLANATION:
We have the following equation:
[tex]x^2-2x-15[/tex]We solve by factoring. We look for two numbers that product -15 and the sum is equal to -2:
[tex]\begin{gathered} 3\cdot-5=-15 \\ 3+(-5)=-2 \\ \text{Therefore:} \\ (x+3)\cdot(x-5)=0 \\ x+3=0\rightarrow x=-3 \\ x-5=0\rightarrow x=5 \end{gathered}[/tex]6.[–/1 Points]DETAILSALEXGEOM7 8.3.006.MY NOTESASK YOUR TEACHERIn a regular polygon, each interior angle measures 120°. If each side of the regular polygon measures 4.6 cm, find the perimeter of the polygon in centimeters. cm
Answers
Given:
Measure of each interior angle = 120 degrees
Length of each side = 4.6 cm
Let's find the perimeter of the polygon.
Since the measure of each interior angle is 120 degrees, let's find the number of sides of the polygon using the formula below:
[tex]120=\frac{(n-2)*180}{n}[/tex]Let's solve for n.
We have:
[tex]\begin{gathered} 120n=(n-2)*180 \\ \\ 120n=180n-180(2) \\ \\ 120n=180n-360 \\ \\ 180n-120n=360 \\ \\ 60n=360 \end{gathered}[/tex]Divide both sides by 60:
[tex]\begin{gathered} \frac{60n}{60}=\frac{360}{60} \\ \\ n=6 \end{gathered}[/tex]Therefore, the polygon has 6 sides.
To find the perimeter, apply the formula:
Perimeter = number of sides x length of each side
Perimeter = 6 x 4.6
Perimeter = 27.6 cm
Therefore, the perimeter of the polygon is 27.6 cm
ANSWER:
27.6 cm
If the scale factor is 5:8, and the actual width of the model is 20 feet, what is the model width?
Answers
If the scale factor is 5:8, it is the same as 5/8.
In order to calculate the width of the model, just multiply its actual width by the scale factor, as follow:
width of the model = (20 ft)(5/8) = 12.5 feet
Hence, the width of the model is 12.5 feet
I need help with 3 , 7 ,4 and 8
Answers
Solution:
Question 3:
The image below gives a vivid explanation of the question
Concept:
The sum of angles in a triangle is
[tex]=180^0[/tex][tex]\begin{gathered} \angle A+\angle B+\angle C=180^0 \\ \angle A=61^0 \\ \angle B=90^0 \\ \angle C=4f+1 \end{gathered}[/tex]By substituting the values, we will have
[tex]\begin{gathered} \angle A+\angle B+\angle C=180^0 \\ 61^0+90^0+4f+1=180^0 \\ \text{collect similar terms, we will have} \\ 61+90+1+4f=180^0 \\ 152^0+4f=180^0 \\ 4f=180-152^0 \\ 4f=28^0 \\ \text{Divide both sides by 4} \\ \frac{4f}{4}=\frac{28}{4} \\ f=7^0 \end{gathered}[/tex]Hence,
The final answer is f = 7°
find the prime factorization ofa) 2205 and b)2525
Answers
(a) 2205.
The prime factorization consist in finding prime numbers which multiplication gives the initial number, to find those prime numbers, we divide the number by 2, 3, or 5, depending on the case. Let's do it.
2205 | 5
441 | 3
147 | 3
49 | 7
7 | 7
1
So, the prime factorization is
[tex]2205=5\times3\times3\times7\times7[/tex](b) 2525.
Let's repeat the process as we did with (a).
2525 | 5
505 | 5
101 | 101
1
So, the prime factorization is
[tex]2525=5\times5\times101[/tex]Find the measure of angle A associated with the following ratios and round to the nearest degree.
Answers
For, CosA = 0.2785 value of angle m∠A = 73.8293° ≈ 74°
Inverse Cosine function:
The inverse cosine function is written as cos^-1(x) or arccos(x).
CosA = 0.2785
A = [tex]Cos^{-1}[/tex](0.2785)
A = 73.8293°
thus by calculation we can say,
m∠A = 73.8293°
≈ 74°
Thus,
For, CosA = 0.2785 value of angle m∠A = 73.8293°
To learn more about Inverse Cosine function visit:https://brainly.com/question/14345853
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Look at the graphs and their equations below. Then in the information about the ABCand D
Answers
Given:
Given a graph and their equations. Then in the information about the A,B, Cand D
Required:
To fill the blanks.
Explanation:
(a) For each coefficient choose whether it is positive or negative :
A : It has positive coefficient.
B : It has positive coefficient.
C : It has negative coefficient.
D : It has negative coefficient.
(b) Choose the coefficient with the least value:
The graph D.
(c)
Marshall has a rectangular garden that he wants to enclose with a fence. To calculate the perimeter, he used the expression below; where w represents the width and I represents the length of the garden. 2w + 2L Which other expression could Marshall use to calculate the perimeter?A. wLB.2wLC.2(w+2L)D.2(w+L)
Answers
by factoring the expression, you can also write
[tex]\begin{gathered} 2w+2l \\ 2(w+l) \end{gathered}[/tex]17 people fit comfortably in a 7 feet by 7 feet area. Use this value to estimate the size of a crowd that is 21 feet deep on both sides of the street along a 3-mile section of a parade route. (Hint: 1mile= 5,280ft) Draw a diagram
Answers
In order to estimate the size of the crowd, let's find the area of the parade route.
The length is 3 miles, that is, 3 * 5280 = 15840 ft.
The width is 2 times 21, so 42 ft.
Therefore the area is:
[tex]A=15840\cdot42=665280[/tex]Now, to estimate the size of the crowd, let's use a rule of three, knowing that the area for 17 people is 7 * 7 = 49 ft²:
[tex]\begin{gathered} 17\text{ people}\to49\text{ ft}^2 \\ x\text{ people}\to665280\text{ ft}^2 \\ \\ \frac{17}{x}=\frac{49}{665280} \\ x=\frac{665280\cdot17}{49} \\ x=230811.43 \end{gathered}[/tex]Rounding to the nearest integer, we have 230,881 people.
2. A blanket is 4 feet wide. It is 3 times as long as it is wide. Draw a diagram of the blanket, and label its dimensions. b. Find the perimeter and area of the blanket.
Answers
the width of the blanket is 4 ft
it is given that length is 3 times of width so the length is 3 * 4 = 12 ft
part b)
so the blanket is rectangular.
the perimeter of the blanket is
2(4+12) = 32
area of the blanket is
length x width
12 x 4 = 48 square ft
part a)
the diagram of the blanket is given as follows,
Figure 2 is the image of Figure 1. What is the scale factor?
Answers
Answer
Scale factor = (2/5)
Explanation
The scale factor shows the extent to which the original image has been dilated (enlarged or reduced). It is given mathematically as
[tex]\text{Scale factor = }\frac{Length\text{ of a side of the image}}{Length\text{ of the corresponding side of the original figure}}[/tex]From the image attached we can see that
Length of a side of the image = 4 dots
Length of the corresponding side of the original image = 10 dots
Scale factor = (4/10) = (2/5)
Hope this Helps!!!
Solve for x.
11x=2=8x+26
Answers
Answer:
X=8
Step-by-step explanation:
11x=2=8x=+26
11x -8x = -2 +26
3x=24
X=8
What is the area of rectangle with a length of 24 meters and a height of 7 meters?A84 square meters84 square metersB600 square meters600 square metersC168 square meters168 square metersD300 square meters
Answers
Answer: C. 168 m²
Explanation
The area of a rectangle (A) is given by:
[tex]A=l\cdot h[/tex]where l represents the length and h represents the height.
Then, in our case, l = 24m and h = 7m. By replacing the values and simplifying we get:
[tex]A=24m\cdot7m[/tex][tex]A=168m^2[/tex]-8x+3y= 313x-3y= -18x=y=
Answers
Given the pair of simultaneous equation;
[tex]\begin{gathered} -8x+3y=3 \\ 13x-3y=-18 \end{gathered}[/tex]We are going to use the method of elimination to solve this.
We will be eliminating the variable y first, since it has the same co-efficient in the two(2) equations.
Thus, we have:
[tex]\begin{gathered} -8x+13x=3-18 \\ 5x=-15 \\ x=-\frac{15}{5} \\ x=-3 \end{gathered}[/tex]To solve for y, we are going to substitute for x = -3 into any of the two(2) equations.
Thus, we have:
[tex]\begin{gathered} \text{from equation i}i) \\ 13x-3y=-18 \\ 13(-3)-3y=-18 \\ -39-3y=-18 \\ -3y=-18+39 \\ -3y=21 \\ y=-\frac{21}{3} \\ y=-7 \end{gathered}[/tex]A garden table and a bench cost $669 combined. The garden table costs $81 less than the bench. What is the cost of the bench?
Answers
Given:
The cost of garden table and bench is, 669.
The garden table costs 81 less than bench.
Let us take x as the cost of the bench and y as the cost of the table. Then we have,
[tex]\begin{gathered} x+y=669\ldots\text{.}.(1) \\ y=x-81\ldots.(2) \end{gathered}[/tex]Now, substituting the value of y in equation 1, we get,
[tex]\begin{gathered} x+x-81=669 \\ 2x=669+81 \\ 2x=750 \\ x=\frac{750}{2}=375 \end{gathered}[/tex]Thus, the cost of bench is 375.
How many different 5 card hands can be dealt from a deck of 52 cards if the hand consists of exactly 2 aces?
Answers
Solution
We need to remember that in a standard deck we have 4 aces and 48 other types of cards
For this case we can solve the problem with the follwoing operation:
[tex](4C2)\cdot(48C3)=\frac{4!}{2!2!}\cdot\frac{48!}{45!3!}=6\cdot17296=103776[/tex]So then we have 103776 ways to create the combination required
00:00Drag a tile to each number to classify it as rational or irrational.rationalirrational9.682.010010001...✓ 64-57
Answers
the numbers are
[tex]undefined[/tex]the problem was sent in a picture
Answers
The vertex of the given parabola is (h, k)=(0,0).
(x, y)=(2, -4) is a point on the parabola.
The vertex form of a parbola is,
[tex]y=a(x-h)^2+k\text{ ------(1)}[/tex]Here, (h, k) is the vertex of parabola.
Put h=0, k=0, x=2 and y=-4 in the above equation.
[tex]\begin{gathered} -4=a(2-0)+0 \\ \frac{-4}{2}=a \\ -2=a \end{gathered}[/tex]Put a=-2, h=0, k=0 in equation (1) to find the function.
[tex]y=-2x^2[/tex]Put y=0 to obtain a quadratic function and solve for x.
[tex]\begin{gathered} 0=-2x^2 \\ x=0 \end{gathered}[/tex]So, there is only one solution to the graph.
Short cut:
Since the parabola touches the x axis when the x intercept is zero, the solution of the quadratic function of the parabola is x=0. So, there is only one solution to the graph.
A department store is having a clothing sale. If a $35.00 pair of pants has a discount tag of 25% off, what is the sale price?
Answers
Given Data:
The prise of the pair of the pant is: p= 35
the percentage of discount is: 25%
The expression to calculate the discount sale price is,
[tex]d=p\times\frac{25}{100}[/tex]Substitute values in the above expression.
[tex]\begin{gathered} d=35\times\frac{25}{100} \\ =35\times0.25 \\ =8.75\text{ } \end{gathered}[/tex]Thus, the discount price of the pant is $8.75.
If we start with 5 people that have the coronavirus, and the number of cases increases by 26% each week. How many cases of coronavirus will there be
in 36 weeks?
Answers
Answer:
6600 new cases
Step-by-step explanation:
Find the volume of this right rectangularprism.3 ft15 ft10 ft[? ]ft3
Answers
Given the following question:
[tex]\begin{gathered} volume=l\times b\times h \\ l=15 \\ b=10 \\ h=3 \end{gathered}[/tex][tex]\begin{gathered} volume=l\times b\times h \\ volume=15\times10\times3 \\ 15\times10=150 \\ 150\times3=450 \\ v=450ft^3 \end{gathered}[/tex]Volume is equal to 450 feet^3.
A line that includes the point (10,5)and has a slope of 1.What is its equation in slope intercept form?
Answers
The line equation is y = x - 5
EXPLANATION
Given:
Point (10, 5)
x=10 and y=5
slope (m)=1
We need to first find the intercept(b).
Substitute x=10 , y=5 and m=1 into y=mx + b and solve for intercept(b).
That is;
5 = 1(10) + b
5 = 10 + b
5 - 10 = b
-5 = b
Form the equation by substituting m=1 and b=-5.
Hence, the line equation is y = x - 5
Which of the following describes the graph of h(x)= -2^(x+3)-4. Thanks for the help!
Answers
SOLUTION:
Case: Graphs
Method:
The equation:
[tex]h(x)=-2^{(x+3)}-4[/tex]We will plug in several values of x
(-3, ?), (0, ?)
[tex]\begin{gathered} (-5,?) \\ h(-3)=-2^{(-3+3)}-4 \\ h(-3)=-2^0-4 \\ h(-3)=-1-4 \\ h(-3)=-5 \\ (-3,-5) \end{gathered}[/tex]And
[tex]\begin{gathered} (0,?) \\ h(0)=-2^{(0+3)}-4 \\ h(0)=-2^3-4 \\ h(0)=-8-4 \\ h(0)=-12 \\ (0,-12) \end{gathered}[/tex]Final answer: 3rd Option
The graph:
Joe’s parents are making sandwiches for the class picnic they have 7230 size is 48 two slices and 96 tomato sauce is Y
Answers
We have to calculate the maximum common divisor of these 3 numbers in order to know what is the maximum ammount of sandwiches they can make.
We can list the factors of each number:
72: 1, 2, 3, 4, 6, 8, 12, 18, 24, 36, 72.
48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 96.
To calculate this factors, we start by dividing by 2 and 3, and so on, and checking if the result is a whole number. If it is, the denominator is a factor.
The maximum common divisor is 24, so they can make 24 sandwichs, each one with 72/24=3 slices of turkey, 48/24=2 slices of cheese and 96/24=4 slices of tomatoes.
George's boxes
He has bought boxes at different prices.
3 boxes at $3.50 and 4 boxes at $3.00.
The cost of the first group of boxes is 3 boxes x 3.50 $/boxes = $10.50.
The cost of the second group is 4 boxes x 3.00 $/boxes = $12.
Then, if we add the cost, it is 10.50 + 12 = $22.50.
If we write it in the blanks we have:
3 boxes * 3.50 = 3 * 3.50
4 boxes * 3.00 = 4 * 3.00
(3 * 3.50) + (4 * 3.00) = 22.50
(underlined is what goes in the blanks)
Max is scuba diving at elevation of -64.5 feet, when friend signals to come higher. Max makes 2 ascents, each an equal distance to reach an elevation of -21.4 feet, where his friend is located. What was max’s elevation after his first ascent?I come up with -43.1
Answers
Answer: - 42.95 feet
Explanation:
Let each ascent be x. Thus,
2 equal ascents = 2x
From the information given,
initial position = - 64.5 feet
Final position after 2 ascents = - 21.4 feet
This means that
- 64.5 + 2x = - 21.4
2x = - 21.4 + 64.5
2x = 43.1
x = 43.1/2
x = 21.55
Thus, Max's elevation after the first ascent is
- 64.5 + 21.55
= - 42.95 feet
Let X represent number of sundaes sold and y represent the number of banana splits sold.Sundaes are sold for $2 each and banana splits for $3 each. They made a total of $150. Equation____________The number of sundaes sold is 5 times more than the number of banana splits sold. Equation________Solve the system of problem questions by substitution
Answers
Given that the total income was $150 by selling 'x' sundaes and 'y' banana splits,
[tex]\begin{gathered} \text{Total Cost}=\text{ Cost per sundae}\cdot\text{ Number of sundae}+\text{ Cost per banana splits}\cdot\text{ Number of banana splits} \\ 150=2x+3y \\ 2x+3y=150\ldots(1) \end{gathered}[/tex]Also given that the number of sundaes sold is 5 times more than the number of banana splits sold,
[tex]\begin{gathered} x=y+5y \\ x=6y\ldots(2) \end{gathered}[/tex]Substitute this value in equation (1),
[tex]\begin{gathered} 2(6y)+3y=150 \\ 12y+3y=150 \\ 15y=150 \\ y=10 \end{gathered}[/tex]The corresponding value of 'x' is calculated by using equation (2) as,
[tex]\begin{gathered} x=6(10) \\ x=60 \end{gathered}[/tex]Thus, the solution to the system of problem
would the answer be written as 47 ¹¹⁰/¹⁷³? my daughter has to write the answer as the remainder as a fraction. 8241 ÷ 173
Answers
8241 ÷ 173
173 will go into 8241 47 times an we will have a remainder of 110
So, it will be written as;
8241 ÷ 173
[tex]=47\text{ }\frac{110}{173}[/tex]Give the domain and range of a quadratic function whose graph as described. The vertex is (-5,-6) and the parabola opens up. The domain of f is ___
Answers
We will have that it's domain goes from -infinity to infinity.
It's range, goes from infinity to -6.