Answer:
D
Step-by-step explanation:
First we need to find out how many miles we can travel using 1 gallon of gasoline. We can easily find that by dividing 78/13 which equals 6. Now we just need to multiply all of the given answers by 6. To be reasonable, since we already know 13*6=78, we should look at the next smallest number and go up from there.
The next smallest number given is 25. 25*6=150.
Hope this helps!! <3 :)
f(x) = 28 + 10x²; solve for f(1) and f(27)
Answer:
f(x) = 28 + 10x²
For f(1) substitute 1 into f(x)
That's
f(1) = 28 + 10(1)²
= 28 + 10
= 38f(27) = 28 + 10(27)²
= 28 + 7290
= 7318Hope this helps you
Lauren bought 6 yellow roses, 10 orange roses, and 12 pink roses to make a bouquet. What is the ratio of the number of yellow roses to the total number of roses in Lauren’s bouquet? A. 6 : 10 B. 6 : 12 C. 6 : 2 D. 6 : 28
Answer:
facil es la D
Step-by-step explanation:
10+6+12 igual a 28
y nada mas ahi que decir el numero de rosas amarillas que es este caso son
6
Respuesta 6:28
Answer:
D. 6:28
Step-by-step explanation:
The total number of flower in bouquet is
=6+10+12
=28
The ratio of number of yellow roses to the total number of roses is 6:28
20 – 2p>-2(p + 2) + 4p
Answer:
i just kinda need points rn
Step-by-step explanation:
Answer:
p<6
Step-by-step explanation:
Step 1: write it out: 20-2p>-2(p+2)+4p
Step 2: use distributive property: 20-2p>-2p-4+4p
Step 3: combine like terms: 20-2p>2p-4
Step 4: add 2p to both sides: 20>4p-4
Step 5: add 4 to both sides: 24>4p
Step 6: divide both sides by 4: 6>p or p<6
anyone knows this? thanks
Answer:
B. 15:1
Step-by-step explanation:
30/2=15/1
45/3=15/1
60/4=15/1
75/5=15/1
Hope this helps ;) ❤❤❤
The correct answer is B
Please help with step by step. Thank you
Answer:
SU = 2PX = 6 2/3Step-by-step explanation:
The product of distances to the circle along a secant is the same for all secants intersecting a given point.
a. Secants SW and QT intersect at U. Thus ...
(UT)(UQ) = (US)(UW)
(1.5)(4) = (SU)(3)
SU = (4)(1.5)/3
SU = 2
__
b. Secants PT and PX intersect at P. Thus ...
(PQ)(PT) = (PR)(PX)
PX = (PQ)(PT)/PR) = (2.5)(2.5 +4 +1.5)/3 = 20/3
PX = 6 2/3
A lot consisting of 50 bulbs is inspected by taking at random 10 bulbs and testing them. If the number of defective bulbs is at most 1, the lot is accepted; otherwise it is rejected. If there are 10 defective bulbs in the lot, what is the probability of accepting the lot?
Answer:
0.3487
Step-by-step explanation:
The probability of accepting the lot If there are 10 defective bulbs in the lot is; 0.3487
This involves binomial probability distribution which is given by the formula;P(X = r) = ⁿ[tex]C_{r}[/tex] × [tex]p^{r}[/tex] × [tex]q^{1 - r}[/tex]
We are given;Number of bulbs taken at random = 10
We are told that if the number of defective bulbs is at most 1, then the lot is accepted.
This means that probability of success is; p = 1/10 = 0.1
q = 1 - p
q = 1 - 0.1
q = 0.9
If there are 10 defective bulbs, then the probability of accepting the lot is;P(X = 0) = ¹⁰[tex]C_{0}[/tex] × [tex]0.1^{0}[/tex] × [tex]0.9^{10 - 0}[/tex]
P(X = 0) = 0.3487
Read more at; https://brainly.com/question/24239758
Which expression can you simplify by combining like terms? 12b2+4ab−3ba−6 17a2−6b2a+4ba−9 5b2−5a2+8a−b 14a2+6ab−3b−3a
Answer:
12b^2+4ab−3ba−6
Step-by-step explanation:
12b2+4ab−3ba−6
The two middle terms are like terms, the order in which you multiply does not matter ab =ba
12 b^2 +4ab -3ab -6
12 b^2 +ab -6
The correct answer is....
A.) A 12b2+4ab-3ba-6If the degree and variables of two terms are same, then they are called like terms.
Here, 4ab and -3ab are like terms because both have same variables a and b with degree 1.
By combining like terms we get
In options B, C and D, there are no like terms, So only the expression we can simplify by combining like terms.
A rancher has 5,000 feet of fencing available to enclose a rectangular area bordering a river. He wants to separate his cows and horses by dividing the enclosure into two equal areas. If no fencing is required along the river, find the length of the center partition that will yield the maximum area.
Answer:
1,000 feet
Step-by-step explanation:
The closer to a square a rectangle is, the greater the area. So the 5,000 feet should be divided into 5 equal sections to create 2 squares with the river making one side. (Like the letter "E").
5,000/5=1,000
Find the median of the data in the dot plot below.
Suppose you have a triangle, and you want to construct a similar triangle. Which two
transformations will result in a triangle that is similar, but is not congruent?
Rotation and Reflection
Reflection and Translation
Reflection and Dilation
Translation and Rotation
Explanation:
The transformations of translation, reflection and rotation are considered rigid motions. They keep the figure the same size just it has been shifted around in some way. In contrast, a dilation will alter the size to make it larger or smaller depending on what the scale factor is.
Only choice C has "dilation" as part of the answer, so it must be the answer. The other choices are purely rigid motions that will keep the triangle the same size and shape. In other words, the preimage and image are congruent for choices A,B, and D.
Simplify 27^2. _______ a0 Simplify 13^2. _______ a0
Answer:
Step-by-step explanation:
27^2 = 729
13^2 =169
Answer:
1) [tex]\boxed{729}[/tex]
2) [tex]\boxed{169}[/tex]
Step-by-step explanation:
1) 27²
This means 27 is being multiplied 2 times.
So,
=> 27*27
=> 729
2) 13²
This means 13 is being multiplied 2 times
So,
13*13
=> 169
What is the measure of the angle between the minute and the hour hands, when they show 4:20 PM?
Answer:
Won't they be on the same place, so 360° i think
Answer:
10 degrees
Step-by-step explanation:
Select the correct answer from each drop down menu?
Answer: Area of Fountain = 147/147.58
Area of Circular path = 28.26
Step-by-step explanation:
formula for area of circle = pi x r^2
radius of fountain - [tex]\\ \sqrt{47} \\[/tex]
area= 22/7 x 47 (as [tex]\sqrt{47}[/tex] is squared)
=147
radius of circular path - [tex]\sqrt{56}[/tex]
area= 22/7 x 9 ( [tex]\sqrt{56}[/tex] is radius and [tex]\sqrt{47}[/tex] is of the fountain subtract them you'll get 9 )
=28.26
Find an equation of the line: through the point (2, −4) with a y-intercept of −2. PLEASE HELP ONLY 20 MINS LEFT
Answer:
y = 3x -2
Step-by-step explanation:
y intercept means the point x = 0
need not be confused in that
we can get the two coordinates as
( 2, -4) and ( 0, -2)
gradient is difference of y/ difference of x
-2+-4/0-2
-6/-2 indeed its 3
so as y intercept is -2
c = -2
y = 3x - 2
AssAssessment captures blank growth
3x2 +x=10 what’s the answer?
Answer:
Step-by-step explanation:
3 × 2 + x = 10
6 + x = 10
x = 10 -6
x = 4
Step-by-step explanation:
so 3 x 2 is 6
6 add x is 6x
6x = 10
divide by 6 or 10 on both sides to get ur answer
hope this helps
i would appreciate it if u could heart my answer and give it 5 stars or maybe even give it brainliest pls i beg u thx !!!!! : )
What is the volume of the following rectangular prism?
Answer:
Step-by-step explanation:
The formula is V= w h l
So it’s be V= 16 1/4 x 1/2
V= 16.25 x .50
V= 8.125
V=8
i don’t know how to show that the probability is 3/4 or how to work it out helppp
Step-by-step explanation:
There are 12 beads. 2 are blue, 1 is green, 3 are purple, and the rest (6) are red.
So there are 9 beads that are purple or red.
The probability is therefore 9/12, which reduces to 3/4.
Answer:
Show all colored beads on the bottom draw a line in the middle and in the top show all red and purple colored beads.
Step-by-step explanation:
Well first we need to work out the number of beads total.
2 blue + 1 green + 3 purple + 6 red = 12
9 purple or red,
9/12
Simplified,
3/4
Show all colored beads on the bottom draw a line in the middle and in the top show all red and purple colored beads.
Which of the following equations would not be a line when graphed? Explain how you can tell by just looking at the equations.
Answer:
Step-by-step explanation:
In my opinion, I beleive it's y=9 becasue the rest of the equations have x in them. bth, this is me just by looking at the equation.
Let f(x) = 5x + 4 and g(x) = −2x + 1. Find the indicated value g(4) plz help quickly
Answer:
g(4) = -7
Step-by-step explanation:
g(x) = −2x + 1.
Let x=4
g(4) = -2*4 +1
= -8+1
= -7
Answer:
[tex]\boxed{g(4) = -7}[/tex]
Step-by-step explanation:
[tex]g(x) = -2x+1[/tex]
Put x = 4
[tex]g(4) = -2(4)+1\\g(4) = -8+1\\g(4) = -7[/tex]
Your class is measuring the heights of plants in different locations in the classroom.
The table gives the heights of each plant over 3 weeks. Use the drop-down menus to
complete each statement below about this data,
Answer:
First part) measuring each plant at the same time each week
Second part) centimeters and the same
Step-by-step explanation:
Answer:
These heights could have been measured by measuring each plant at the same time each week.
The unit of measure for the heights is centimeters. The units must be the same for each data point in order to compare the rates of growth.
Graph: y = |x + 2| + 1
Answer:
[tex]x = y - 3 [/tex]
[tex]x = - (y + 1) y \geqslant 1[/tex]
Hope this is correct and helpful
Step-by-step explanation:
I suppose that this is the graph
HAVE A GOOD DAY!
Plz help me x+y=5 y=3+x
Answer:
2x+2y+8
Step-by-step explanation:
just combine like terms I think.
x+y=5 y=3+x
x+x =2x
y+y =2y
5+3=8
hope it helps <33
What is -6/7 x (-3/8)
Answer:
9/28
Step-by-step explanation:
−6/7×−3/8and solve
−6 ×−3 OVER 7×8
=18/56
18÷2 OVER 56÷2=9/28 Therefore:
−6/7×−3/8=9/28
Answer:
[tex] \frac{9}{28} [/tex]Step-by-step explanation:
[tex] - \frac{6}{7 } \times \frac{ - 3}{8} [/tex]
Multiplying two negative equals a positive
[tex]( - ) \times ( - ) = ( + )[/tex]
[tex] \frac{6}{7} \times \frac{3}{8} [/tex]
Reduce the numbers with G.C.F 2
[tex] \frac{3}{7} \times \frac{3}{4} [/tex]
Multiply the fractions
[tex] \frac{3 \times 3}{7 \times 4} [/tex]
[tex] \frac{9}{28} [/tex]
hope this helps...
Good luck on your assignment...
HELP PLEASE I REALLY NEED THE HELP ON THIS.
for questions 8 and 9, you just need to use a ruler to fine how many inches, centimeters, or millimeters each line segment is. (make sure to properly read the question to see if they’re asking for the measurement in in, cm, or mm.) i won’t be able to give you these measurements because the picture became smaller when you uploaded it, but it shouldn’t be that hard for you!
for question 10, use a ruler to draw and label your own line segment.
on 10a, draw a line segment that is 3 1/4 inches long, then label one end of the segment ‘H’ and one end ‘J’
for 10b, draw a line segment that is 5 7/16 inches long, then label one end of the segment ‘M’ and the other ‘N’.
Write the following decimals as fractions.
Show work for each and every question below.
Answer:
5a) 0.2823=2823/10000
5b) 0.5474=2737/5000
6a)0.3484=871/2500
6b) 0.5=1/2
7a) 0.11=11/100
7b) 0.1224=153/1250
Step-by-step explanation:
is 5.39 rational or irrational
Answer:
rational
Step-by-step explanation:
rational because it doesn't repeat
irrational: 5.399999
Rational: 5.39
:)
Given: f(x) = x2, g(x) = x + 6, h(x) = 7
Find f(g[h(x)]).
55
169
26
Answer:
169
Step-by-step explanation:
f(x) = x^2, g(x) = x + 6, h(x) = 7
f(g[h(x)])
Replace h(x) with 7
f(g(7))
g(7) = 7+6 = 13
Replace g(7) with 13
f(13) = 13^2 = 169
Answer:
169
Step-by-step explanation:
We are asked to find:
f(g[h(x)])
We know that f(x) = x^2, g(x) = x + 6, and h(x) = 7
Therefore, we can begin by substituting 7 for h(x)
f(g[h(x)]), h(x)=7
f(g[7])
Now, we must find g(7). We know that g(x) is x+6
g(x)=x+6
We want to find g(7). Plug 7 in for each x.
g(7)=7+6
Add 7 and 6
g(7)=13
Substitute 13 in for g(7)
f(g[7])
f(13)
Finally, find f(13). We know that f(x)=x^2
f(x)=x^2
We want to find f(13). Plug 13 in for each x.
f(13)=13^2
13^2= 13*13= 169
f(13)=169
169
Therefore, f(g[h(x)]) is 169
Please help i will give brainliest for correct answers!
Answer:b
Step-by-step explanation
Which system of equations has only one solution? 4 x + 2 y = 8. Negative 4 x minus 2 y = 3. Negative 5 x + y = 6. 5 x minus y = negative 6. Negative 3 x + 4 y = 2. 3 x minus 4 y = 0. 2 x + 4 y = 6. 3 x minus 4 y = 9.
Answer:
Following system of equations have exactly one solution:
[tex]2 x + 4 y = 6\\ 3 x - 4 y = 9[/tex]
Step-by-step explanation:
Given 4 system of equations:
1st
[tex]4 x + 2 y = 8\\ -4 x -2 y = 3[/tex]
2nd
[tex]-5 x + y = 6\\ 5 x - y = - 6[/tex]
3rd
[tex]- 3 x + 4 y = 2\\ 3 x - 4 y = 0[/tex]
4th
[tex]2 x + 4 y = 6\\ 3 x - 4 y = 9[/tex]
To find: Which system of equations has only one solution?
Solution:
First of all, let us learn the concept.
Let the equation of lines be:
[tex]a_1x+b_1y+ c_1=0[/tex] and [tex]a_2x+b_2y+ c_2=0[/tex]
1. No solution:
There exists no solution if:
[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq\dfrac{c_1}{c_2}[/tex]
2. Infinite solutions:
There exist infinitely many solutions if:
[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}[/tex]
3. One solution:
There exists one solution if:
[tex]\dfrac{a_1}{a_2}\neq\dfrac{b_1}{b_2}[/tex]
Now, let us consider the given equations one by one.
1st system of equations:
The ratio is:
[tex]\dfrac{4}{-4} , \dfrac{2}{-2} , \dfrac{8}{3}\\-1 =-1\neq \dfrac{8}{3}[/tex]
So, no solution.
2nd system of equations:
The ratio:
[tex]\dfrac{-5}{5} , \dfrac{-1}{1} , \dfrac{6}{-6}\\-1 =-1=-1[/tex]
So, infinitely many solutions.
3rd system of equations:
[tex]\dfrac{3}{-3} , \dfrac{-4}{4} , \dfrac{0}{2}\\-1 =-1\ne0[/tex]
So, no solution.
4th system of equations:
[tex]\dfrac{2}{3} , \dfrac{4}{-4} , \dfrac{6}{9}\\\dfrac{2}{3} \ne-1[/tex]
Hence, only one solution.
So, the answer is:
Following system of equations have only one solution:
[tex]2 x + 4 y = 6\\ 3 x - 4 y = 9[/tex]
Answer:
4
Step-by-step explanation: