Answer: 1,296 m iles
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Distance = Speed rate x time
speed rate = 54 miles per hourtime = 24 hoursReplacing with the values given and solving for D (distance)
D = 54 mph x 24 h = 1,296 m
The car traveled 1,296 miles
Feel free to ask for more if needed or if you did not understand something.
Find x and y. Give reasons to justify your solution.
Answer:
x = 32
y = 35
Step-by-step explanation:
x = 32 because they are vertical angles. Vertical Angles means a pairs of opposite angles made by two intersecting lines.
y = 35 because the vertical angle for y is 35 (view attached image below). Also, if we add all the angles together in the image, it comes out to a sum of 360 degrees, which is a full circle.
Answer:
x=32 degrees
y=35 degrees
Step-by-step explanation:
trust me
this graph shows the solution to which inequality? (3,2) (-3,-6)
Answer:
y > 4/3 x - 2.
Step-by-step explanation:
First find the equation of the dashed line:
The slope (-6-2)/(-3-3)
= -8/-6
= 4/3.
y - y1 =m(x - x1) where m = slope and (x1,y1) is a point on the line.
y - 2= 4/3(x - 3)
y = 4/3(x - 3) + 2
y = 4/3 x - 2
As the shading is above the line the answer is
y > 4/3 x - 2.
Answer: A
Y>4/3x-2
Step-by-step explanation:
These triangles ARE similar! Which reason proves it?
Circle one:
AA~
SSS~
SAS~
SHOW CALCULATIONS to verify they are similar!
Answer:
I would say AA
Step-by-step explanation:
try to separate the picture to see the bigger picture and you can do it.
If f(x) = 3x + 10x and g(x) = 4x – 2, find (f + g)(x).
A. 3x – 6x + 2
B. 3x + 6x + 2
C. 17x – 2
D. 3x + 14x – 2
Answer:
a is answer correct i think
Step-by-step explanation:
Solve the system.
2x + y = 3
-2g = 14 – 6x
Write each equation in slope-intercept form.
Y = ___x + ___
Y = ___x + ___
Answer:
2 x + y - 3 = 0
2 g + 6 x - 14 = 0 2 g = -2 (3 x - 7)
x = 7/3 - g/3
Step-by-step explanation:
Solve for x:
2 g = 14 - 6 x
2 g = 14 - 6 x is equivalent to 14 - 6 x = 2 g:
14 - 6 x = 2 g
Subtract 14 from both sides:
-6 x = 2 g - 14
Divide both sides by -6:
Answer: |
| x = 7/3 - g/3
Answer:
y= -2 x + 3
y= 3 x + -7
The slops and they y-intercepts are different
Intersect at one point
Exactly one solution
Step-by-step explanation:
Edge 2022
Ken started a savings account for school. He plans on spending 10% of the money he earns for leisure activities. He needs to have $2,160 in the bank before he starts school. how much must he earn to have the amount needed for school?
Answer:
$2,400
Step-by-step explanation:
Ken intends to start a savings account
10% = leisure spending
This means 90% = Expenses for school
Let us represent the amount he must save as : x
Hence in other for him to have $2,160 in his savings account, the amount Ken must earn is calculated as:
90/100 × x = $2,160
Cross Multiply
90x = $2,160 × 100
x = ($2,160 × 100) ÷ 90
x =$2,400
Therefore, the amount Ken has to earn to have the amount needed for school is $2,400
6\8 + 9/32
Show answer
Answer: 1 1/32 or 33/32
Step-by-step explanation:
6 * 4 = 24
8 * 4 = 32
6/8 = 24/32
24/32 + 9/32 = 33/32
33/32 = 1 1/32
Answer:
1 1/32
Step-by-step explanation:
6/8 + 9/32
the common denominator is 32
6/8 *4/4 + 9/32
24/32 + 9/32
33/32
32/32 + 1 /32
1 1/32
Please Help Me. Add (2x^2+4−x^3)+(−4x^2+6x^3−2) Express the answer in standard form. Enter your answer in the box.
Answer:
2x³ - 2x² - 2
Step-by-step explanation:
Step 1: Rewrite expressions
2x² - 4x³ - 4x² + 6x³ - 2
Step 2: Combine like terms
2x³ - 2x² - 2
How can her partial solution be interpreted? The equation has one solution: x = 0. The equation has one solution: x = 8. The equation has no solution. The equation has infinite solutions.
Answer:
The equation has no solution
Step-by-step explanation:
The following information is missing:
Lily begins solving the equation 4(x – 1) – x = 3(x + 5) – 11.
Her work is shown below.
4(x – 1) – x = 3(x + 5) – 11
4x – 4 – x = 3x + 15 – 11
3x – 4 = 3x + 4
This means that the equation has no solution, because if we simplify her last term, we get:
-4 = 4
wich has no sense. In other words, there is no x value which satisfy:
3x – 4 = 3x + 4
Answer: C on edg;)
Step-by-step explanation:
what is the rate of change in dollars per hour if plumber charges 130.00 for 2 hrs work and 235.00 for 5 hrs work
Answer:
18
Step-by-step explaition:
130 divided by 2 is 65 235 divided by 5 is 47 65 - 47 is 18
Use the diagram to find the angle measures.
Find m∠1, m∠3, and m∠4 if m∠2=117°.
Find the measures of all four angles if m∠2+m∠4=220°.
Answer:
1.) m∠1 = 63 degree
m∠3 = 63 degree
m∠4 = 117 degree
m∠2 = 117 degree
2.) m∠1 = 70 degree
m∠3 = 70 degree
m∠4 = 110 degree
m∠2 = 110 degree
Step-by-step explanation:
Given that
1.) m∠2 = 117°.
In the figure, m∠1 is vertically opposite to m∠3, and m∠4 is vertically opposite to m∠2
Therefore, m∠2 = m∠4 = 117° ( because vertically opposite angle are equal)
Also, the sum of angles at a point is equal to 360 degrees
m∠2 + m∠4 = 234°
Take 234 away from 360. That is,
360 - 234 = 126
126/2 = 63 degrees.
Therefore, m∠1 = m∠3 = 63°
2.) If m∠2 + m∠4 = 220°
Subtract 220 from 360 since the sum of angles at a point is equal to 360 degrees
360 - 220 = 140
Divide 140 by 2 and also 220 by 2 to get
140/2 = 70 and 220/2 = 110
Therefore,
m∠1 = 70 degree
m∠3 = 70 degree
m∠4 = 110 degree
m∠2 = 110 degree
Please can u help me .
The triangles shown below must be congruent. True or false?
Answer:
A
Step-by-step explanation:
What is the probability of rolling a dice and getting either a 1 or 2 and flipping a coin and getting a heads?
Answer:
1/3 and 1/2
Step-by-step explanation:
This is approximately equal to 0.167
====================================================
Explanation:
A = event of getting either a 1 or 2
P(A) = probability event A occurs
P(A) = 2/6 = 1/3, since there are two ways to get "1 or 2" out of six total
B = landing on heads
P(B) = 1/2, there are two sides and only one is heads
P(A and B) = probability getting a 1 or 2 and flipping heads on a coin
P(A and B) = P(A)*P(B) .... only possible if A and B are independent
P(A and B) = (1/3)*(1/2)
P(A and B) = (1*1)/(3*2)
P(A and B) = 1/6
Two-step equations word problems. Please and thank you in advance!
Answer:
The equation is 3mx1/4t=9
Step-by-step explanation:
step 1) 3mx1/4t=9
step 2) 3m=36
step 3) there was 12 pieces of cake
What type of number is 104i+27?
A) Real
B) Imaginary
C) Complex
Answer:
Complex
Step-by-step explanation:
104i + 27
This has a real component 27
and an imaginary component 104i
That makes this complex
The Japanese Yen corresponds to the American Dollar. If the exchange rate is 150 Yen for 1 Dollar, then a Japanese car sold in America for $10,000 will bring in 1,500,000 Yen. If the exchange rate changes to 120 Yen for each Dollar, then what price in Dollars would the car have to be sold in America to bring the Japanese 1,500,000 Yen?
Answer:
125,000
Step-by-step explanation:
Take the Japanese yen and divide by 12
1,500,000 divided by 12 = 125,000
whats the answer???
Answer:
wtz i think is the answer. they are supplementary
Step-by-step explanation:
Answer:
WTZ
Step-by-step explanation:
Supplementary angles add to 180 degrees or form a straight line
WTV and WTZ make a straight line so they are supplementary angles
please answer need help
Answer:
Obviously, the negative numbers come first so the answer is -3.7, -1.9, -1/2, 1 1/3, 1.6, 2 1/3.
Answer:
-3.7, -1.9, -1/2, 1 and 1/3, 1.6, 2 and 1/3.
which of the following is a qualitative statement that is reasonable based on the data? A The fewest number of cars at home is 0 B Most students have 2 or fewer cars at home C Most students have 3 or more cars at home D The median number of cars at home is 3
Answer:
B
Step-by-step explanation:
Alyssa walked 1/2 miles in 8 1/2 minutes. What is the unit rate in miles per minute?
Answer:
1/17 miles per minute
Step-by-step explanation:
Divide the miles by the minutes
.5 miles
---------------
8.5 minutes
5/85 miles per minute
1/17 miles per minute
Answer:
1/17
Step-by-step explanation:
You would divide the minutes and the miles.
8 1/2 divided by 1/2 which gives you1/17.
I hope this helped. I'm sorry if you get this wrong.
Help plz will give brainliest
Answer:
150Step-by-step explanation:
[tex]30\% \times 500 \\ 0.3 \times 500 \\ = 150[/tex]
Answer: the answer is 150
Step-by-step explanation:
30% x 500
0.3 x 500
= 150
The sum of seven times a number—
PLEASE HELP!
Answer:
x = 6
y = 4
Step-by-step explanation:
Let the two numbers be x and y
Condition 1:
7x+3y = 54 -----------(1)
Condition 2:
x = 2+y -----------------(2)
Putting (2) in (1)
=> 7(y+2)+3y = 54
=> 7y+14+3y = 54
=> 10y = 54-14
=> 10y = 40
Dividing both sides by 10
=> y = 4
Now putting y = 4 in eq(2)
=> x = 2+4
=> x = 6
Answer:
[tex]4\\6[/tex]
Step-by-step explanation:
[tex]7x+3y=54\\x=y+2[/tex]
[tex]7(y+2)+3y=54\\7y+14+3y=54\\10y+14=54\\10y=40\\y=4[/tex]
[tex]x=y+2\\x=4+2\\x=6[/tex]
Assignment: The Discriminant
Part I: Practice Finding the Discriminant
Find the value of the discriminant for each quadratic equation below. Show all steps needed to
write the answer in simplest form, including substituting the values of a, b, and cin the
discriminant formula. Then use the value to determine how many real number solutions each
equation has.
1.
x + 6x-3.0
2. 3x + 2x+1=0
3. x + 4x + 4 = 0
4. 5x + x = 4
5. 2x -3x = -5
6.
X-X=12
Answer:
1. D = 48, two; 2. D = -8, none; 3. D = 0, one
4.D = 81, two; 5. D = -91, none; 6. D = 49, two
Step-by-step explanation:
The formula for a quadratic equation is
ax² + bx + c = 0
The quadratic formula gives the roots:
[tex]x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a} = \dfrac{-b\pm\sqrt{D}}{2a}[/tex]
D is the discriminant.
It tells us the number of roots to the equation — the number of times the graph crosses the x-axis.
[tex]D = \begin{cases}\text{positive} & \quad \text{2 real solutions}\\\text{zero} & \quad \text{1 real solution}\\\text{negative} & \quad \text{0 real solutions}\\\end{cases}[/tex]
It doesn't matter if the graph opens upwards or downwards.
If D > 0, the graph crosses the x-axis at two points.
If D = 0, the graph touches the x-axis at one point.
If D < 0, the graph never reaches the x-axis.
1. x² + 6x - 3 =0
a= 1; b = 6; c= -3
D = b² - 4ac = 6² - 4×1×(-3) = 36 - 4(-3) = 36 + 12 = 48
D > 0: two real solutions
2. 3x² + 2x + 1 = 0
a = 3; b = 2; c =1
D = b² - 4ac = 2² - 4×3×1 = 4 - 12 = -8
D < 0: no real solutions
3. x² + 4x + 4 = 0
a = 1; b = 4; c =1
D = 4² - 4×1×4 = 16 - 16 = 0
D = 0: one real solution
4. 5x² + x = 4
5x² + x - 4 = 0
a = 5; b = 4; c = -4
D = 1² - 4×5×(-4) = 1 - 20(-4) = 1 - (-80) = 1 + 80 = 81
D > 0: two real solutions
5. 5x² - 3x = -5
5x² - 3x + 5= 0
a = 5; b = -3; c = 5
D = (-3)² - 4×5×5 = 9 - 100 = -91
D < 0: no real solutions
6. x² - x = 12
x² - x - 12= 0
a = 1; b = 1; c = -12
D = 1² - 4×1×(-12) = 1 - 4(-12) = 1 + 48 = 49
D > 0: two real solutions
A group of tourists can be sorted into tour boats in groups of 4 or in groups of 6. In either case, there are no empty seats. Find the number of tourists if there are more than 25 and fewer than 45.
Answer: there are 36 tourists.
Step-by-step explanation:
Ok, we have two integer numbers:
T, the number of tourists and S, the number of seats.
Such that, if we divide the tourists into groups of 4 and in groups of 6, we end with no empty seats.
Knowing that the number S must be an integer, and when we divide T into groups of 4 and 6 we end with no empty seats, this means that T can be divided by 4 and by 6.
This means that T is a common multiple of 4 and 6
Now, we also know that 25 < T < 45.
Then let's see which ones are the multiples of 4 between 25 and 45.
4*7 = 28
4*8 = 32
4*9 = 36
4*10 = 40
4*11 = 44.
Now, the multiples of 6 in that range are:
6*5 = 30
6*6 = 36
6*7 = 42.
You can see that 36 is a common multiple, other way to see it is:
4*9 = (2*2)*(3*3) = 2*2*3*3 = (2*3)*(2*3) = 6*6
So the numer of tourist must be 36.
A line is drawn through the point (-1,-1), parallel to the line 2x-3y+9=0. Where will it cross the x-axis?
Answer:
2x-3y-1=0I hope I'm correct.Step-by-step explanation:
[tex]2x-3y+9=0\\Rearrange -in-form-of : y = mx+b\\-3y=0-9-2x\\-3y=-2x-9\\\frac{-3y=-2x-9}{-3} \\y =\frac{2}{3} \\\\For- parallelism- , m1=m2\\One -point- form (-1,-1)\\x1 = -1\\y1 = -1 \\m = \frac{2}{3}\\ y -y1=m(x-x1)\\y -(-1)=\frac{2}{3} (x-(-1))\\y+1=\frac{2}{3}(x+1)\\y+1=\frac{2}{3}x + \frac{2}{3}\\\\y = \frac{2}{3}x + \frac{2}{3}-1\\\\y = \frac{2}{3}x - \frac{1}{3}\\Multiply- through-: by 3 \\3[y = \frac{2}{3}x - \frac{1}{3}]\\\\3y = 2x -1\\Answer = 2x-3y-1=0[/tex]
PLEASE HELP ASAPPP!!! 15PT QUESTION!!! Suppose that a ball is rolling down a ramp. The distance traveled by the ball is given by the function s(t), where t is the time, in seconds, after the ball is released, and s(t) is measured in feet. For given function, find the ball’s average velocity from t1 to t2. s(t)=11t^2; t1=6, t2=6.5
Answer:
The average velocity of the ball is [tex]137.5 \:ft/sec[/tex]
Step-by-step explanation:
First find the velocities at given times and then form two points. Calculate the slope to find the average velocity. The two points are:
[tex]\left(6,\:396\right)\quad and \quad \:\left(6.5,\:464.75\right)[/tex]
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}=\frac{464.75-396}{6.5-6}[/tex]
[tex]m=137.5[/tex]
Best Regards!
Identify the parent function of f(x)=(x+3)3
Answer:
g(x) = x^3
Step-by-step explanation:
f(x)=(x+3)^3
The parent function is
g(x) = x^3
The function was shifted to the left 3 units from the parent function
f(x) = ( x- -3) ^3
f(x) = ( x+3) ^3
I do not understand 2 column proof in Geometry. PLEASE HELP
Answer:
A two-column geometric proof consists of a list of statements, and the reasons that we know those statements are true. The statements are listed in a column on the left, and the reasons for which the statements can be made are listed in the right column.
hope this helped :)
Two-column proof:
Two-segment geometric evidence comprises of a rundown of explanations, and the reasons that we realize those announcements are valid. The announcements are recorded in a segment on the left, and the purposes behind which the announcements can be made are recorded in the correct section. A scientific evidence might be composed utilizing a passage, two-sections, or utilizing a stream diagram. The two-section verification is the strategy we use to introduce a sensible contention utilizing a table with two segments. Significant data is generally given to help start a proof and is normally the beginning stage everything being equal.
please mark me as brainliest!
Natalia wants to attend Louisiana State University. One year at Louisiana State University costs approximately $24,000. She currently has $4,000 in savings. Natalia has received a one-time grant of $1,500 and an annual academic scholarship for $3,500. She plans to enroll in the work study program that will pay $12,000 annually for part-time work. How much will Natalia need to borrow in student loans in order to attend Louisiana State University for 4 years?
Answer:
He needs to borrow $28,500 to attend the University for 4 years.
Step-by-step explanation:
One year at the University costs $24,000. The total she has to pay are 4 * $24,000 = $96,000
minus the $4,000 she has in savings: $96,000 - $4,000 = $92,000
minus the $1,500 she received one time: $92,000 - $1,500 = $90,500
minus $3,500 per anual
4* $3,500 = $14,000
$90,500 - $14,000 = $76,500
minus $ 12,000 per anual
4 * $12,000 = $48,000
$76,500 - $48,00 = $28,500