Answer:
(3/4) / (7/8) invert the second fraction and multiply
(3/4) * (8/7) =
24/28 =
6/7
Step-by-step explanation:
Explanation: There's a little trick to help you if you have to divide two fractions.
3/4 divided by 7/8 is the same as (3/4)/(7/8) and maybe you've already realised that multiplying by half is the same as dividing by two (easiest example for this). If you need a moment to think about why that is take that moment and continue reading when it makes sense to you. Continuing with that logic multiplying by 1/4 is the same as dividing by 4 and multiplying by 1/8, 1/9 or 1/10 is the same as dividing by 8,9 or 10. Actually multiplying by a certain number is always the same as dividing by its 'reciprocal'. The reciprocal of a number is defined as the number one divided by that number.
So the reciprocal of 8 is 1/8, the reciprocal of 5 is 1/5 and so on...
If you've understood why that is you're holding a new power in your hands because now you can derive from that that (3/4) / (7/8) is the same as (3/4) * (8/7) and if you now imagine this as being written as fractions with the numbers under and above a line you can simply multiply together 3*8 and 4*7 to get 24/28 which can be simplified to 6/7.
Which expression is represented on this number line?
Answer:
where's the number line??
Mr. Cipalla bought 5 pounds of clay for an art project. He paid $35.35 for clay. What is the unit price per pound of the clay he
bought?
Answer:
$7.07
Step-by-step explanation:
35.35/5=7.07
Bubbles the fish is 4 feet below sea level. Swimmy the fish is 3 feet below sea
level. Which fish is closest to sea level? *
A: Bubbles?
B: Swimmy?
worth 25 points pls help me
Answer:
swimmy is closest to sea level
Pls help! I need answer.
Answer:
b = 98
Step-by-step explanation:
hope this helps . thanks
Plzz help ..........
Answer:
AB and CD - Parallel Lines
EF and CD - Perpendicular Lines
GH and EF - Neither Parallel nor Perpendicular Lines
Let me know if this helps!
Answer:
EF and CD ------- perpendicular lines
AB and CD --------parallel Lines
GH and EF --------- neither parallel nor perpendicular lines
Step-by-step explanation:
Parallel lines are lines that do not ever intersect
Perpendicular lines create 90 degree angles
neither is just neither
PLEASE HELP
Select the mean, median, mode and range of the following list of values.
Answer:
The median is three, the mean is 3.5, the range is 6 and there is no mode.
Step-by-step explanation:
PLEASE ANSWER CORRECTLY and show your work! I will give brainliest!
Answer: The new co-ordinates of A ( 2 ,-6)
Step-by-step explanation:
Type of transformation change to co-ordinate point
Vertical translation up 'd' units (x,y)→(x , y+d)
Vertical translation down 'd' units (x,y)→(x , y-d)
Horizontal translation right 'c' units (x,y)→(x+c , y)
Horizontal translation left 'c' units (x,y)→(x-c , y)
Reflection over x-axis (x,y) →(x , -y)
Reflection over y-axis (x,y) →(-x , y)
Given the original vertex A ( -2 ,3)
a) First reflection over x-axis ( -2 ,3) →(-2 , -3)
b) Vertical translation down '3' units so it changes (-2 , -3)→(-2 , -3-3)
(-2,-3)→(-2 ,-6)
and
c) The Horizontal translation right '4' units
now it changes ( -2 ,-6) → (-2+4,-6)→(2 ,-6)
Final answer:-
The new co-ordinates of A ( 2 ,-6)
The function f ( x ) = 2 x ^2 − x − 4 models the shape of a ditch. What is the average slope over the interval −4 ≤ x ≤ 2?
Answer:
[tex]Rate = -5[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 2x^2 - x - 4[/tex]
[tex]-4 \le x \le 2[/tex]
Required
Determine the average slope over the given interval
This is calculated as:
[tex]Rate= \frac{f(b) - f(a)}{b - a}[/tex]
Where:
[tex]a = -4[/tex]
[tex]b =2[/tex]
So:
[tex]Rate= \frac{f(2) - f(-4)}{2 - (-4)}[/tex]
[tex]Rate= \frac{f(2) - f(-4)}{2 +4}[/tex]
[tex]Rate= \frac{f(2) - f(-4)}{6}[/tex]
Solving for f(2) and f(-4), we have:
[tex]f(x) = 2x^2 - x - 4[/tex]
[tex]f(2) = 2 *2^2 -2 - 4[/tex]
[tex]f(2) = 2[/tex]
[tex]f(-4) = 2*(-4)^2 - (-4) - 4[/tex]
[tex]f(-4) = 2*16 +4 - 4[/tex]
[tex]f(-4) = 32[/tex]
So, the equation becomes
[tex]Rate= \frac{f(2) - f(-4)}{6}[/tex]
[tex]Rate= \frac{2 - 32}{6}[/tex]
[tex]Rate= \frac{-30}{6}[/tex]
[tex]Rate = -5[/tex]
Tylan sent 3809 text messages in January. In February he sent 3115.
Answer:
Ummmm what’s the question?
Step-by-step explanation:
I will edit after you tell me what your question is.
Btw God bless you.have a great day!
Step-by-step explanation:
if you're asking how many text messages he sent in those two months then he sent 6924 messages.
11. Which expression is equivalent to the expression shown below?
-2x + 5(3 + 2x)
a. 8x + 15
b. 53 + 4x
C. 4x + 15
d. 8 + 5x
A train travels 360 km at a uniform speed, if speed has been increased it will take one hour less for the same journey then find the speed of the train.
Answer:
Given distance=360 km.
Let the speed of the train be x km/hr.
Speed when increased by 5 km/hr =(x+5) km/hr
x
360
−
(x+5)
360
=1
x(x+5)
[360x+1800−360x]
=1
x
2
+5x−1800=0
x
2
+45x−40x−1800=0
x(x+45)−40(x+45)=0
(x−40)(x+45)=0
x=40,−45
The speed of the train is 40 km/hr.
Step-by-step explanation:
thanks... ☺️
plz answer this question
round 87.48 to the underlined place.
I need help with please and thank you can yall help me with a thing
Answer:
2 will give you the larger value of 17
Step-by-step explanation:
the population of alaska is approximately 6.5 * 10^(5) people the populatio of illinois's is about 1.3 * 10^(7)people. how many times greater is the population of Illinois in the population of Alaska
Answer:
20 times greater
Step-by-step explanation:
Given the following
Population of alaska = 6.5 * 10^(5) people
Population of illinois's = 1.3 * 10^(7)people.
To know the number of times population of Illinois in the population of Alaska, we will take their population ratio;
Ratio = Population of illinois's /Population of alaska
Ratio = 1.3 * 10^(7)/6.5 * 10^(5)
Ratio = 0.2 * 10^7-5
Ratio = 0.2 * 10^2
Ratio = 20
Hence the population of Illinois is 20 times greater than population of alaska
Solve for the given time.
A colony of 36,000 bacteria grows continuously at a rate of 12%. How many bacteria will there be in 2 years?
Answer:
45158
Step-by-step explanation:
Since the colony grows at a rate of 12%, after 2 years there will be [tex]36000\cdot 1.12^2 = 45158.4[/tex] bacteria. Since you probably can't have part of a bacteria, you round to 45158.
Answer:
45158
Step-by-step explanation:
Since the colony grows at a rate of 12°/• , after 2 years there will be 36000.
1.12 power of 2 = 45158.4 bacteria.
And you cant have part of a bacteria
you round it to
45158.
Jamie has white, blue, and pink shirts. She has black, white, and beige pants. She has black and brown shoes. If she chooses one shirt,
one pair of pants, and one pair of shoes, how many unique outfits can she make?
PLEASE HELP!! THIS IS REALLY SERIOUS!!
Answer:
A. y= - 1/2x + 20
B. the initial value represents the total amount of gasoline used for snow plowing (in gallons)
C. the slope indicates that for every driveway plowed they use 1/2 a gallon of gasoline
hope this helps ;)
f(t) = 3t^3 - 4t + 6t^2 and g(n) = 5t^3 + 2t^2 - 3t. What is f(t) - g(t)
Answer:
- 2t³ + 4t² - t
Step-by-step explanation:
f(t) - g(t)
= 3t³ - 4t + 6t² - (5t³ + 2t² - 3t) ← distribute parenthesis by - 1
= 3t³ - 4t + 6t² - 5t³ - 2t² + 3t ← collect like terms
= - 2t³ + 4t² - t
The relationship between x and y is represented by the table below. Which equation represents this
table?
Х
y
1
6
3
10
4
12.
5
14
A y = x +5
By = 2x + 4
C y = 3x + 3
D
Not Here
b. 135: 90
Simplify the ratio
help asap schools almost done pls help me
Answer:
exit ticket
1.) 6+8x
2.) 18+6x^5
homework module 4 lesson 6
1.) 78
2.) 61
3.) 24
Step-by-step explanation:
Which inequality is represented by the graph below? O y < 2x - 3
Oy > 2x - 3
Oy<-3x + 2
Oy> -3x + 2
Answer:
Oy > 2x - 3
Step-by-step explanation:
because it has > so with will be on the left side
I also recommend Desmos because it helps you with these questions.
and that's what I used.
The inequality represented by the graph below is y > 2x - 3.
Option B is the correct answer.
What is inequality?An inequality is a mathematical statement that compares two expressions using an inequality symbol such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).
We have,
To graph an inequality, you need to identify the equation of the line or boundary that separates the two regions defined by the inequality.
This boundary can be a line, a curve, or even a plane in three dimensions.
Next, you need to determine which region to shade, based on whether the inequality symbol is less than (<), greater than (>), less than or equal to (≤), or greater than or equal to (≥).
If the inequality symbol is less than (<) or greater than (>), the boundary line should be drawn as a dashed line since the points on the line are not included in the solution set.
Then, shade the region above the line if the symbol is greater than (>), or below the line if the symbol is less than (<).
If the inequality symbol is less than or equal to (≤) or greater than or equal to (≥), the boundary line should be drawn as a solid line since the points on the line are included in the solution set.
Then, shade the region above the line if the symbol is greater than or equal to (≥), or below the line if the symbol is less than or equal to (≤).
Finally, label the shaded region as the solution set and write the inequality symbol next to it.
From the given graph we see that,
y > 2x - 3 has the same graph.
Thus,
The inequality represented by the graph below is y > 2x - 3.
Learn more about inequalities here:
https://brainly.com/question/20383699
#SPJ7
Bedroom rent
1 $500
2 $625
3 $700
what would be the likely cost of a 4 bedroom apartment?
Answer:
maybe $825
Step-by-step explanation:
Im not sure but I think Its accurate
Solve systems using Elimination
Answer:
y = 1.5, x = [tex]1\frac{12}{13}[/tex]
Step-by-step explanation:
The given simultaneous equation system is;
-1 - 2·y = -4...(1)
13·x + 2·y = 28...(2)
By elimination method, we have;
From equation (1);
-1 - 2·y = -4
2·y = 4 - 1 = 3
y = 3/2 = 1.5
y = 1.5
We eliminate 'y' from equation (2) by replacing the value of 'y' with 1.5 as follows;
13·x + 2·y = 28
y = 1.5
∴ 13·x + 2 × 1.5 = 28
13·x = 28 - 3 = 25
x = 25/13 = [tex]1\frac{12}{13}[/tex] = [tex]1.\overline{923076}[/tex]
x = [tex]1\frac{12}{13}[/tex]
100 percent of blank = 60
Solve for blank.
Answer:
60
if its all of 60 the answer is 60
Step-by-step explanation:
have a great day
F (x)= 5x-14 G (x)= 12x+8 H (x)= 62x-54 Dadas las funciones resolver las siguientes operaciones a. F (x)+ G (x) b. G (x)- (H (x)-F (x)) c. (G (x)-F (x)) (H (x)+G (x) d. (F (x)-H (x))/ (G (x)+ F(x) e. G (x) / H (x9
Answer:
a) [tex]17\cdot x -6[/tex], b) [tex]-45\cdot x +48[/tex], c) [tex]518\cdot x^{2} +1306\cdot x -1012[/tex], d) [tex]\frac{-57\cdot x +40}{17\cdot x -6}[/tex], e) [tex]2\cdot \left(\frac{3\cdot x + 2}{31\cdot x - 27} \right)[/tex]
Step-by-step explanation:
Sean [tex]f(x) = 5\cdot x -14[/tex], [tex]g(x) = 12\cdot x + 8[/tex] y [tex]h(x) = 62\cdot x - 54[/tex]. A continuación, desarrollamos las siguientes operaciones:
a) [tex]f(x) + g(x)[/tex]
[tex](5\cdot x - 14) + (12\cdot x + 8)[/tex]
[tex]17\cdot x -6[/tex]
b) [tex]g(x) - [h(x)-f(x)][/tex]
[tex](12\cdot x + 8) - [(62\cdot x - 54)-(5\cdot x - 14)][/tex]
[tex]12\cdot x + 8 - (57\cdot x -40)[/tex]
[tex]12\cdot x +8 -57\cdot x +40[/tex]
[tex]-45\cdot x +48[/tex]
c) [tex][g(x)-f(x)]\cdot [h(x)+g(x)][/tex]
[tex][(12\cdot x + 8)-(5\cdot x -14)]\cdot [(62\cdot x -54)+(12\cdot x +8)][/tex]
[tex](12\cdot x +8 -5\cdot x +14) \cdot (62\cdot x -54+12\cdot x+8)[/tex]
[tex](7\cdot x +22)\cdot (74\cdot x-46)[/tex]
[tex]7\cdot x \cdot (74\cdot x - 46)+22\cdot (74\cdot x -46)[/tex]
[tex](7\cdot x)\cdot (74\cdot x) - 46\cdot (7\cdot x )+22\cdot (74\cdot x)-22\cdot (46)[/tex]
[tex]518\cdot x^{2}-322\cdot x +1628\cdot x -1012[/tex]
[tex]518\cdot x^{2} +1306\cdot x -1012[/tex]
d) [tex]\frac{f(x)-h(x)}{g(x) + f(x) }[/tex]
[tex]\frac{(5\cdot x - 14)-(62\cdot x - 54)}{(12\cdot x +8)+(5\cdot x -14)}[/tex]
[tex]\frac{-57\cdot x +40}{17\cdot x -6}[/tex]
e) [tex]\frac{g(x)}{h(x)}[/tex]
[tex]\frac{12\cdot x + 8}{62\cdot x - 54}[/tex]
[tex]\frac{4\cdot (3\cdot x +2)}{2\cdot (31\cdot x -27)}[/tex]
[tex]2\cdot \left(\frac{3\cdot x + 2}{31\cdot x - 27} \right)[/tex]
rhombus and a square have one and the same side of 6 cm. The area of the rhombus is 4/5 of the area of the square. Find the height of the rhombus.
Answer:
1.8 is the h of the rhombus
Answer:
4.8 cm
Step-by-step explanation:
17) HELP I have the answer I just need to show the work
Which trig ratio or formula should you use to find “c”?
Answer: B
Don’t give me the answer I already know it just show the work pls
Here
cos25°=BC/AB=8/c
c=8/cos25°
so cos function is helpful here
really a dum.beannie
Answer:
b) cos25
c = 7.248 or 7.2
Step-by-step explanation:
Cosine = [tex]\frac{adjacent}{hypothenuse}[/tex]
Cos 25 = [tex]\frac{8}{c}[/tex]
Cos of 25 is 0.906
0.906 = [tex]\frac{8}{c}[/tex]
Multiply 8 on both sides:
0.906 x 8 = [tex]\frac{8}{c}[/tex] x 8
7.248 = c
In ΔLMN, the measure of ∠N=90°, the measure of ∠M=70°, and NL = 74 feet. Find the length of MN to the nearest tenth of a foot.
Answer:26.9 feet
Step-by-step explanation:
SOH-CAH-TOA
\tan M = \frac{\text{opposite}}{\text{adjacent}}=\frac{74}{x}
tanM=
adjacent
opposite
=
x
74
\tan 70=\frac{74}{x}
tan70=
x
74
x\tan 70=74
xtan70=74
Cross multiply.
\frac{x\tan 70}{\tan 70}=\frac{74}{\tan 70}
tan70
xtan70
=
tan70
74
Divide each side by tan 70.
x=\frac{74}{\tan 70}=26.9338\approx 26.9\text{ feet}
x=
tan70
74
=26.9338≈26.9 feet
Type into calculator and roundto the nearest tenth of a foot.
L
M
N
74
26.9
(opposite of ∠M)
(adj. to ∠M)
(hypotenuse)
70°