Answer:
7 and 1
Step-by-step explanation:
Let the numbers be a and b.
A positive number is 7 times another number:
a = 7bIf 3 is added to both the numbers then one of the new number becomes 5 by 2 times the other new number:
a+3 = 5/2 × (b +3)To solve this we substitute a with 7b in the second equation:
7b + 3 = 5/2 × (b +3) ⇒ multiplying both sides by 214b + 6 = 5b + 15 ⇒ collecting like terms14b - 5b = 15 - 69b = 9b = 1 ⇒ solved for bThen, finding a:
a= 7ba=7*1a= 7 ⇒ solved for aSo the numbers are 7 and 1
A police car drives with a constant speed of 64 mph. How far can it travel in 2 hours?
Answer:
128 miles.
Step-by-step explanation:
The police car is driving at a constant speed of 64 mph so you simply have to multiply the rate by the time to get the distance.
64 * 2 = 128 miles
Hope this helps!
In a circle whose center is O, arc AB contains 100. Find the number of degrees in angle ABO. WILL MARK BRAINLIEST FOR BEST ANSWER A)50 B)40 C)65 D)60
Answer:
It is so easy u should get this right.
First draw a circle and there is an arc that is like forming a triangle inside a circle and then ab angle is 100 degree and outside is the center of the circle. And since u try to find how much is outside it most likely means that 100-60=40
so it b 40.
Step-by-step explanation:
The number of degrees in ∠ABO is 50°. Therefore, option A is the correct answer.
Given that, in a circle whose centre is O, arc AB contains 100°.
We need to find the number of degrees in ∠ABO.
How are angles and arcs related?An arc of a circle is a section of the circumference of the circle between two radii. A central angle of a circle is an angle between two radii with the vertex at the centre. The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.
According to the theorem ∠ABO=1/2 × arc AB.
So, ∠ABO=1/2 × 100°=50°
The number of degrees in ∠ABO is 50°. Therefore, option A is the correct answer.
Learn more here about arc of a circle here:
https://brainly.com/question/15448382.
#SPJ2
Determine which one of the following statements is true. A. Exponential growth will always exceed linear growth. B. Linear growth will always exceed quadratic growth. C. Linear growth will always exceed exponential growth. D. Quadratic growth will always exceed exponential growth.
Answer:
A. Exponential growth will always exceed linear growth.
Step-by-step explanation:
The rate of growth of a linear function is always constant, that means it remains the same for any value of x or y. For an exponential growth, the rate of change is not constant, it continues to increase as the value of x increases. Therefore since the rate of growth of an exponential growth increases as the x value increases, while that of the linear growth remain constant there would be a point in which the exponential growth will exceed linear growth.
7 liters of gasoline between their 4 cars. How many liters of gasoline should each car get?
Answer:
1.75 liters for each car.
Step-by-step explanation:
Divide:
*7 / 4 = 1.75.
Check:
*1.75 x 4 = 7.
The lowest point in Asia is the Dead Sea, which is 396 meters below sea level. The lowest point in the USA is Death Valley, at 86 meters below sea level. How much high is Death Valley than the Dead Sea
Answer:
310 metres
Step-by-step explanation:
The lowest point in Asia is the Dead Sea, which is =396 meters below sea level.
The lowest point in the USA is Death Valley, a= 86 meters below sea level.
Therefore,
diference in their heights = 396-86 metres =310 metres
Answer:
310 meters higher
Step-by-step explanation:
396-86=-310
The difference btween -396 and -86 is the same as |396| and |86| so you can just subtract the positive numbers.
The volume of a rectangular prism is the product of its dimensions. If the dimensions of a rectangular prism are
approximately 1.08 feet, 5.25 feet, and 3.3 feet, what is the approximate volume of the cube? Express your answer
using an appropriate level of accuracy.
Answer:
Hey there!
Volume of a rectangular prism: length (width) (height).
Volume: 1.08 (5.25) (3.3), or 18.71100.
However, because 3.3 is only two significant figures, we round our answer to: 19.
Hope this helps :)
Answer:
18.7 ft^3
Step-by-step explanation:
The volume is the product of the dimensions of the cube:
V = L*W*H, where L and W represent the length and width respectively.
Here,
V = (1.08 ft)(5.25 ft)(3.3 ft) = 18.7 ft^3, which is to 1 decimal place, because the least accurate dimension is also to 1 decimal place.
Jak policzyc: [tex](2x^2)^2[/tex] ?
*PLEASE ANSWER* What is the volume of this prism?
Answer:
23.85
Step-by-step explanation:
→ Work out area of triangle
0.5 × 6 × 3 = 0.5 × 18 = 9
→ Multiply area of triangle by width of prism
9 × 2.65 = 23.85
Write the slope-intercept form of the equation for the line. (-1,-3) (1,1)
Answer:
y = 2 x − 1
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
We can find the slope from the slope equation
m = (y2-y1)/(x2-x1)
= ( 1- -3)/(1 - -1)
= (1+3)/(1+1)
= 4/2
=2
Marsha wants to buy carpet to cover her whole living room, except for the tiled floor. The tiled
floor is 4 ft by 2 ft. Find the area the carpet needs to cover. 1)
Solve on paper. Then check your work on Zearn. 1)
1
11
3
7
tiled floor
Answer:
68.06 sq. feets
Step-by-step explanation:
Area of room's floor
11.33 × 7 = 79.33
Area of tiled floor
4.83 × 2.33 = 11.278
Area of floor needed to be carpeted
79.33-11.278= 68.06
Polygons EFGH and E'F'G'H' are shown on the following coordinate grid:
hy
What set of transformations is performed on EFGH to form E'F'G'H'?
Answer:
A translation 3 units to the right and a 90-degree clockwise rotation
Step-by-step explanation:
Th sum of a number and two is equal to eight
The equation?
Answer:
2+n = 8
Step-by-step explanation:
2+ something must equal 8.
8 minus 2 = 6
n=6
Answer:
Let the number be n.
According to question,
2+ n =8
=) n = 8-2
=) n =6
hope you understand.
The sum of 6 consecutive integers is 519. What is the third number in this sequence?
Answer:
86
Step-by-step explanation:
x+x+1+x+2+x+3+x+4+x+5 = 519
6x+15 = 519
6x = 504
x = 84
Third number = x+2 = 86
Answer:
86
Step-by-step explanation:
khan
If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (fog)(x)?
(3x + 2)(x2 + 1)
O 3x 2 + 1 + 2
(3x + 2)2 + 1
3(x2 + 1) + 2
Answer:
This means you would plug in g(x) into f(x).
Step-by-step explanation:
It would look like this:
[tex]3(x^{2} + 1) + 2[/tex]
Chelsea received $60 for her birthday. She used three fifths of her birthday money to purchase a pair of jeans. She used two thirds of the remaining birthday money to go to the movies. How much money did Brittany have after attending the movies?
Answer: 24$
Step-by-step explanation: First, you need to do 3/5*60 which is 36$.
Then you need to find 2/3 of 36$ which is 24$. So Brittany now has 24$ after going to the movies. I hope this helps you!
PLEASE HELP!! what is the equation of a line that is perpendicular to y = 2x + 4 and passes through the point (4, 6)?
Answer:
The answer is B)
[tex]y = - \frac{1}{2}x + 8[/tex]
Answer:
B. y = -[tex]\frac{1}{2}[/tex]x + 8
Step-by-step explanation:
The line is perpendicular to line whose equation is:
y = 2x + 4 and;
passes through point (4,6) .
The product slopes of two perpendicular lines is -1.
The slope of the line whose equation is y = 2x + 4 is; 2
Let the slope of the perpendicular line (l2) be [tex]m_{l2}[/tex]
[tex]m_{l2} * 2 = -1[/tex]
[tex]m_{l2}[/tex] = [tex]-\frac{1}{2}[/tex]
Taking another point xy on line l2;
[tex]\frac{y - 6}{x - 4} = -\frac{1}{2}[/tex]
Cross multiplying this gives;
y = -[tex]\frac{1}{2}[/tex]x + 8 which is the equation of the perpendicular line!
There are 9 classes of 25 students each, 4 teachers, and two times as many chaperones as teachers.
Each bus holds a total of 45 people.
What is the least number of buses needed for the field trip?
5 buses is the answer pls mark me brainliest
Least number of bus require for trip = 5 buses
What is Unitary method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Steps to Use Unitary Method
First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
Given:
Total number of classes = 9
Number of student in each class = 25
Number of teacher = 4
Number of chaperones = Double of teacher
Bus hold = 45 people
Now,
Total number of student = 9 × 25
= 225
Number of chaperones = 4 × 2
= 8
Total people = 225 + 8 + 4
= 237
Least number of bus require for trip = Total people / Bus hold
= 237 / 45
= 5.266
Learn more about unitary method here:
https://brainly.com/question/22056199
#SPJ2
A spinner has 3 red spaces, 5 white spaces, and 1 black space. If the spinner is
spun once, what is the theoretical probability of the spinner NOT stopping on
red?
P(Not red) =
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
If we have 3 red spaces, 5 white spaces, and one blank space, there are a total of 9 spaces.
Since there are 3 red spaces, there is a [tex]\frac{3}{9} = \frac{1}{3}[/tex] chance of getting a red. However, the question asks the probability of not getting a red, so the chances of not getting a red are [tex]1 -\frac{1}{3} = \frac{2}{3}[/tex].
Hope this helped!
PLEASE HELP!!
Complete the equation.
(13)^2 (13)^-14 (13)^5 = 13 [ ]a0
Answer:
(13)^2 (13)^-14 (13)^5
=2197
Answer:
13^3
Step-by-step explanation:
-4+2+5=3
is it . that or something else ??
FORM A CUBIC POLYNOMIAL WHOSE ZEROS ARE -3,-1 AND 2
[tex](x+3)(x+1)(x-2)=\\(x^2+x+3x+3)(x-2)=\\(x^2+4x+3)(x-2)=\\x^3-2x^2+4x^2-8x+3x-6=\\x^3+2x^2-5x-6[/tex]
What is the range of the function graphed below? PLEASE ANSWER ASAP
This is a more complicated way to write [tex]y < 2[/tex]
The range is the set of all possible y outputs of a function. So we use the graph to see what y values are possible. The graph shows that y can be anything smaller than y = 2. We can't actually reach y = 2 itself due to a horizontal asymptote here.
In interval notation, the answer would be [tex](-\infty, 2)[/tex] with the curved parenthesis to indicate "do not include y = 2 as part of the range".
Please help. I need it. Bad.
Answer:
Option a.
Step-by-step explanation:
In the given triangle angle A is a right angle so triangle ABC is a right angled triangle.
Opposite side of right angle is hypotenuse. So, CB is hypotenuse.
From figure it is clear that CA is shorter that segment BA.
All angles are congruent to itself. So angle C is congruent to itself.
We know that, if an altitude is drawn from the right angle vertex in a right angle triangle it divide the triangle in two right angle triangles, then given triangle is similar to both new triangles.
So, triangle ABC is similar to triangle DBA if segment AD is an altitude of triangle ABC.
Therefore, the correct option is a.
The graph shows the equation x2 + y2 = 5. Use the slider for a to move the vertical line on the graph. Based on the vertical
line test, is this equation a function? Why or why not?
Answer: This equation is not a function.
Step-by-step explanation:
Ok, a function is something like a "machine".
It takes an input value, x, and transforms it into an output value, y.
Such that for every input x, the function can transform it into only one value of y.
for example, if we have a "function" f(x)
such that f(2) = 3 and f(2) = 4
(for the same input, x = 2, we have two different outputs)
Then this is not a function.
Now, the given equation is:
x^2 + y^2 = 5
This is actually the equation for a circle, centered at the point (0, 0) and with a radius equal to √5.
Then, if we want to transform it into y(x), we can see a problem
If x = 0, we have:
0^2 + y^2 = 5
y^2 = 5
then we have two possible values for y:
y = +√5
y = -√5
Then for one value of x, we have two values of y.
This means that this is not a function.
Answer:
No. The vertical line touches the graph at more than one point at once.
Step-by-step explanation:
I just did it
How many triangles exist with the given side lengths? 2mm,6mm,10mm
Answer:
Zero
Step-by-step explanation:
2+6=8 which means it can't be. It has to be a length higher than 10
Which is the exponential form of log3 x= 11?
Answer:
[tex]x = 3^{11}[/tex]
Step-by-step explanation:
relation between logarithmic and exponential form is given by
[tex]\log_a x = y \\[/tex] is same as [tex]a^y = x[/tex] where a>0 and a is not equal to 1.
____________________________________________
[tex]\log_3 x = 11 \\\\x = 3^{11}[/tex]
Thus, exponential form is [tex]x = 3^{11}[/tex]
50 POINTSS!! While preparing a roof, patty drops a screwdriver from a height of 80 feet. The function (h)t = -16t^2 + 80 gives the height of the screwdriver in the feet as feet after t seconds during its fall. Which of these is the graph of the function
Answer:
Graph D
Step-by-step explanation:
(h)t = -16t^2 + 80
At time t = 0 the screwdriver is at 0+80 =80 ft
As time increases the height will decrease so we can eliminate graph B
We know this is a downward parabola by the - in front of the t^2 so we can eliminate graph A
We need to find where it meets the x axis
0 = -16t^2 + 80
-80 = -16t^2
5 = t^2
t = sqrt(5)
t =2.23
This is Graph D
I WANT TO PASS HIGH SCHOOL PLEASE HELP
Given that the quadrilateral EFGH is a trapezoid, m∠H = 62° and m∠HEG = 64° calculate m∠FEG
Answer:
m∠FEG == 54°
Step-by-step explanation:
you should know that m∠FEG is equal m∠EGH. this is because sides HE and FG are equal this also means opposite angles of this sides (m∠FEG and m∠EGH) are equal.
first find the measure of m∠EGH from triangle EHG.
m∠H + m∠HEG + m∠EGH= 180°
62° + 64° + m∠EGH = 180°
m∠EGH=180° - 126°
m∠EGH=54°
due to the fact that sides HE and FG are equal thus opposite angles of sides HE and FG are also equal.
m∠FEG = m∠EGH = 54°
m∠FEG =54°
Bob has taken out a loan of $15,000 for a term of 48 months (4 years) at an interest rate of 6.5%. Using the amortization table provided, what will be his total finance
charge over the course of his loan?
Monthly Payment per $1,000 of Principal
Rate 1 Year 2 Years 3 Years 4 Years 5 Years
6.5% $86.30 $44.55 $30.65 $23.71 $19.57
7.0% $86.53 $44.77
$30.88
$23.95
$19.80
7.5% $86.76 $45.00
$31.11
$24.18
$20.04
8.0% $86.99 $45.23
$31.34
$24.41
$20.28
8.5% $87.22 $45.46
$24.65
$24.65
$20.52
9.0% $87.45 $45.68
$31.80
$24.89
$20.76
A.
$355.65
O
B.
$975.00
C.
$1,682.40
D.
$2,071.20
E. $17,071.20
Reset
Next
© 2020 Edmentum. All rights reserved.
Answer:
D. $2071.20
Step-by-step explanation:
The table tells you that Bob's monthly payment on a 4-year loan at 6.5% will be $23.71 per thousand borrowed. The sum of those 48 payments is ...
48 × $23.71 = $1138.08
That means, Bob pays $138.08 in total finance charge for each $1000 he borrows. He is borrowing 15 times $1000, so his total finance charge will be ...
finance charge = 15 × $138.08 = $2071.20 . . . matches choice D
Assume all variables represent non negative numbers . Help please!!
Answer:
A). [tex]2p^{8}[/tex]
B). [tex]3m^{7}[/tex]
Step-by-step explanation:
A). [tex]\sqrt{4p^{16}}[/tex]
To get the square root of the given expression we will convert it into the square form.
[tex]4p^{16}=(2)^2(p^{8})^2[/tex] [Since 2×2 = 4 and [tex]p^{8}\times p^{8}=p^{16}[/tex]]
Therefore, [tex]\sqrt{4p^{16}}=\sqrt{2^{2}\times (p^{8})^2 }[/tex]
[tex]=2p^{8}[/tex]
B). [tex]\sqrt{9m^{44}}[/tex]
Since, [tex]9m^{14}=(3)^2\times (m^7)^2[/tex]
Therefore, [tex]\sqrt{9m^{44}}=\sqrt{(3)^2\times (m^7)^2}[/tex] [Since 3² = 9 and (m⁷)² = m¹⁴]
[tex]=3m^{7}[/tex]
Find the he value of n if 4n=6 4
Answer: 16
Step-by-step explanation:
64/4=16
n=16
Answer:
16
Step-by-step explanation:
4n = 64
n = 16 --------> Divide by 4 on each side
