9514 1404 393
Answer:
(c) 5
Step-by-step explanation:
Put 4 where x is and do the arithmetic.
F(4) = 3·4 -7 = 12 -7
F(4) = 5
Write the equation of the shown line in slope intercept form.
A grocery store plans to use 75% of its area for food and beverages. If the grocery store has an area of 1,600 m², what is the area used for all the other items?
A.400 m²
B.600 m²
C.1,200 m²
D.1,240 m²
Answer:
It's either 400 or 1,200.
Step-by-step explanation:
Other people are saying 400, I got 1,200 by multiplying 1,600 to 0.75 which gave me that answer. I do not know how other people got 400.
Can someone please help me on number 16-ABC
Answer:
Please check the explanation.
Step-by-step explanation:
Given the inequality
-2x < 10
-6 < -2x
Part a) Is x = 0 a solution to both inequalities
FOR -2x < 10
substituting x = 0 in -2x < 10
-2x < 10
-3(0) < 10
0 < 10
TRUE!
Thus, x = 0 satisfies the inequality -2x < 10.
∴ x = 0 is the solution to the inequality -2x < 10.
FOR -6 < -2x
substituting x = 0 in -6 < -2x
-6 < -2x
-6 < -2(0)
-6 < 0
TRUE!
Thus, x = 0 satisfies the inequality -6 < -2x
∴ x = 0 is the solution to the inequality -6 < -2x
Conclusion:
x = 0 is a solution to both inequalites.
Part b) Is x = 4 a solution to both inequalities
FOR -2x < 10
substituting x = 4 in -2x < 10
-2x < 10
-3(4) < 10
-12 < 10
TRUE!
Thus, x = 4 satisfies the inequality -2x < 10.
∴ x = 4 is the solution to the inequality -2x < 10.
FOR -6 < -2x
substituting x = 4 in -6 < -2x
-6 < -2x
-6 < -2(4)
-6 < -8
FALSE!
Thus, x = 4 does not satisfiy the inequality -6 < -2x
∴ x = 4 is the NOT a solution to the inequality -6 < -2x.
Conclusion:
x = 4 is NOT a solution to both inequalites.
Part c) Find another value of x that is a solution to both inequalities.
solving -2x < 10
[tex]-2x\:<\:10[/tex]
Multiply both sides by -1 (reverses the inequality)
[tex]\left(-2x\right)\left(-1\right)>10\left(-1\right)[/tex]
Simplify
[tex]2x>-10[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}>\frac{-10}{2}[/tex]
[tex]x>-5[/tex]
[tex]-2x<10\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>-5\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-5,\:\infty \:\right)\end{bmatrix}[/tex]
solving -6 < -2x
-6 < -2x
switch sides
[tex]-2x>-6[/tex]
Multiply both sides by -1 (reverses the inequality)
[tex]\left(-2x\right)\left(-1\right)<\left(-6\right)\left(-1\right)[/tex]
Simplify
[tex]2x<6[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}<\frac{6}{2}[/tex]
[tex]x<3[/tex]
[tex]-6<-2x\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<3\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:3\right)\end{bmatrix}[/tex]
Thus, the two intervals:
[tex]\left(-\infty \:,\:3\right)[/tex]
[tex]\left(-5,\:\infty \:\right)[/tex]
The intersection of these two intervals would be the solution to both inequalities.
[tex]\left(-\infty \:,\:3\right)[/tex] and [tex]\left(-5,\:\infty \:\right)[/tex]
As x = 1 is included in both intervals.
so x = 1 would be another solution common to both inequalities.
SUBSTITUTING x = 1FOR -2x < 10
substituting x = 1 in -2x < 10
-2x < 10
-3(1) < 10
-3 < 10
TRUE!
Thus, x = 1 satisfies the inequality -2x < 10.
∴ x = 1 is the solution to the inequality -2x < 10.
FOR -6 < -2x
substituting x = 1 in -6 < -2x
-6 < -2x
-6 < -2(1)
-6 < -2
TRUE!
Thus, x = 1 satisfies the inequality -6 < -2x
∴ x = 1 is the solution to the inequality -6 < -2x.
Conclusion:
x = 1 is a solution common to both inequalites.
Please Help Really Appreciated!!
45+5t=45
solving for t
Answer:
t=0
Step-by-step explanation:
The first thing you want to do is isolate the varible t. So you going to subrtact the 45 from both sides, which leaves you with, 5t=0. Next you are going to divide 5 from both sides, which leaves you with t=0. To make sure its right, plug it in. 45+5(0)=45. 45=45.
A pink crayon is mad with 12 ml of red wax for every 5 ml of white wax.
Which of the following wax mixtures will create the same shade of pink?
Choose 2 answers
Answer: Multiply 12 and 5 (by the same number) and add them to get whatever total ml of crayon wax is specified.
Ex: Total ml divided by 17, then find how many parts are red(12ml) and white(5ml)
Step-by-step explanation:
DE is a midsegment of AABC . Find the value of x .
B
х
5
А
Answer:
x = 10
Step-by-step explanation:
DE is the midsegment joining the midpoints of BC and AC respectively.
Therefore, by the property of midsegment of a triangle,
DE will be parallel and half of the measure of the third side of the triangle.
DE = [tex]\frac{1}{2}(AB)[/tex]
5 = [tex]\frac{x}{2}[/tex]
x = 10 units
true or false: All substances have the same density
Answer:
False
Step-by-step explanation:
They just don't :)
Answer:
False
Step-by-step explanation:
Trust me
solve y to the third power=125
Answer:
5
Step-by-step explanation:
Given m||n, find the value of x.
+
(7x-7)°
m
(6x+11)°
Answer:
x = 18
Step-by-step explanation:
[tex](7x - 7) \degree = (6x + 11) \degree \\ (exterior \: alternate \: \angle s) \\ \\ 7x - 7 = 6x + 11 \\ \\ 7x - 6x = 11 + 7 \\ \\ x = 18[/tex]
At A local department store suits have been reduced to $36 this price is 90% off the original Price for suits given this what was the original price of the suits
Answer:
if 90% = $36
100%= ?
100%×$36
90%
3600 = $40
90
Step-by-step explanation:
you use the method of cross multiplying
Find the mean absolute deviation of 5,9,7,0,3,5,5
Answer: 1.92
Step-by-step explanation:
Formula to find the mean absolute deviation:
[tex]MAD =\sum^{n=i}_{n=1}\dfrac{|x_i-\overlien{x}|}{n}[/tex]
, where [tex]\overline{x}=[/tex] mean , [tex]x_i's[/tex] = data values, n= number of data values.
Given data: 5,9,7,0,3,5,5
n= 7
Mean:
[tex]\overline{x}=\dfrac{5+9+7+0+3+5+5}{7}\\\\=\dfrac{34}{7}[/tex]
MAD = [tex]\dfrac {|5-\dfrac{34}{7}|+|9-\dfrac{34}{7}|+|7-\frac{34}{7}|+|0-\dfrac{34}{7}|+|3-\dfrac{34}{7}|+|5-\dfrac{34}{7}|+|5-\dfrac{34}{7}|}{7}[/tex]
[tex]=\dfrac{\frac17+\frac{29}{7}+\frac{15}{7}+\frac{34}{7}+\dfrac{13}{7}+\frac17+\frac17}{7}\\\\=\dfrac{\frac{94}{7}}{7}\\\\=\dfrac{94}{49}\approx1.92[/tex]
Hence, the mean absolute deviation of 5,9,7,0,3,5,5 is 1.92(approx)
what is the value of 4x 2 +7x−10 if x=4 pleaseeee help lol
Could someone help? Thanks
Answer:
x = -3, y = -0.512
x = -1, y = -3.2
x = 0, y = -8
x = 2, y = -50
Step-by-step explanation:
The temperature on Wednesday was −5 degrees Celsius. By Friday the temperature fell to −10 degrees Celsius. Write and solve an equation that shows the change in temperature.
Answer: -5 + (10) = 5
Step-by-step explanation:
keep change flip -5 - (-10) you get -5 + (10) = 5
10
If the triangles are congruent, pick the postulate that proves they are congruent. If they aren't, choose not congruent.
SSS
SAS
ASA
Answer:
SAS
Step-by-step explanation:
ok so there is one angle and 2 sides
Please answer ASAP I need to answer this question quickly I just need the answer
Answer:
the answer is 6
hope it helps
2 + 2 + 2 + 2 + 2 + 2 = 4 × ___
Answer:
2 + 2 + 2 + 2 + 2 + 2 = 4 × 3
Step-by-step explanation:
Helppp I NEED THIS DONE RN
Answer:
C
Step-by-step explanation:
The radius of a circle is 3 millimeters. What is the circle's area? r=3 mm Use 3.14 for . square millimeters
5,4,16/5 find the 10th term
the sequence is 25/4(4/5)^x
plug in 10 for x to get your solution:
25/4(4/5)^10=4^9/5^8
In one full day, 108 gallons of water seep into a pond. At this same rate, how many gallons will seep into the pond in 60 hours?
Answer:
270
Step-by-step explanation:
108 divided by 24 is 4.5. 4.5 is how many gallons per hour. then, 4.5 times 60 equals 270.
Suppose y varies directly with x. If y = 4 when x = 0.4, what is y when x is 5?
Step-by-step explanation:
y = kx, where k is a real constant.
When x = 0.4, y = 4.
=> (4) = (0.4)k, k = 10.
Hence when x = 5,
y = kx = (10)(5) = 50.
The answer is 50.
PLS HELP I WILL GIVE BRAINLIEST
The graph represents Jason’s trip on the bus, showing his distance from home as a function of time. Select all statements that are true based on the graph.
A. The bus is traveling at a decreasing speed.
B. The bus traveled a total distance of 310 miles.
C. The bus traveled at a faster speed during the first 4 hours of the trip.
D.After traveling 200 miles, the bus trip has more than 3 hours remaining.
E. The bus traveled a total distance of 130 miles in the first 4 hours of the trip.
F. During the first part of the trip, the bus traveled at a constant speed of 45 miles per hour.
Answer:
A , E, F
Step-by-step explanation:
Three statements are true based on the graph the correct options are D, E,F
How to find the speed of an object?If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.
If the object traveled D distance in T units of time, then that object's speed is
[tex]Speed = S = \dfrac{\: Distance \: traveled}{\: Time \: taken} = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]
For option D, we can see in the graph the bus has completed 200 miles of distance between the 2nd and 3rd hour. So, there are more than 3hours remaining, and option D is correct
For option E, it is clear from the graph that after 4 hours the distance traveled by the bus is 130miles
For option F; the distance traveled in first 4 hours= total distance from home - remaining distance after 4 hours
310-130=180miles
time= 4hours
speed=distance/time
speed= 180/4= 45miles per hour
hence, D, E,F are true
Learn more about average speed here:
https://brainly.com/question/12322912
#SPJ6
2+5 x 2
O and I have to many points that why im making one up
so you guys can be SMART and a lot of you are k bye
Answer:
14
Step-by-step explanation:
For a ride, a taxi driver charges an initial fare of $3.00 plus $2.00 for each 1 mile driven. If the total charge for a ride is $27.00, what is the distance traveled, in miles?
Answer:
12 Miles
Step-by-step explanation:
27 - 3 = 24
24 ÷ 2 = 12
It costs $5 to buy a pen and $3 to buy a rulers If you have $50 to spend, write an inequality representing all the possible combinations of pens and rulers you could buy, then graph it.
Which number produces a rational number when added to 1/5?
Answer:
1/5 is a rational number
Step-by-step explanation:
"In mathematics, a rational number is a number such as -3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1."
please help me with math
How to solve real number arithmetic
Answer/Step-by-step explanation
1. When adding real numbers with the same sign the sum will have the same sign as the numbers added.
2. When adding real numbers with different signs you subtract the lesser absolute value from the greater one. The sum will then have the same sign as the number with the greater absolute value.
3. There are a couple of properties of addition:
The additive commutative property tells us that the order in which you add the numbers does not change the sum.
4. And the additive associative property tells us that it also that the order in which we group three or more numbers does not affect the sum.
5. The additive identity property tells us that the sum of a number and 0 is always the number.
6. And the additive inverse property tells us that if you add a number with its opposite you will always get 0