Answer:
a) The difference of a number and six is no less than 15
x - 6 ≥ 15
b) 25 plus a number is at least 13
25 + x ≥ 13
c) g decreased by 25 is at most five
g - 25 ≤ 5
Step-by-step explanation:
a) The difference of a number and six is no less than 15
Let the number be represented by x
We difference is involved in a mathematics question, it requires the application of Subtraction operation, hence:
x - 6 ≥ 15
b) 25 plus a number is at least 13
Let the unknown number be represented by x
When at least is used in Mathematics, is means greater than or equal to a particular value,
Hence,
25 + x ≥ 13
c) g decreased by 25 is at most five
At most means less than or equal to a particular value, hence:
g - 25 ≤ 5
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. a) Simplify the expression and explain each step. (2 points) 4 ( 3 x + 2 ) − 2 b) Factor the expression completely. (1 point) 20 b − 16
Answer:
Step-by-step explanation:
To simplify the expression:
4(3x+2) - 2
The first step is to open the brackets
= 4 * 3x + 4* 2 - 2
= 12x + 8 - 2
= 12x - 6
Factor out the above expression, we get;
= 6(2x - 1)
To factor out the expression:
20b - 16
the factor that can be divided by 20 and 16 without remainder is 4;
So, we have:
= 4(5b - 4)
At one gas station, gas costs $2.75 per gallon. Write an equation that relates the total cost, C , to the number of gallons of gas purchased, g
Answer:
C (g) = 2.75g
the graph shows the height of a thrown ball x seconds after it is thrown. based on the situation, are there any constraints on the domain of the function
Answer:
The time can not be negative. Thus, the domain of the given graph function must have the interval [0, ∞].
In other words, t ≥ 0.
Step-by-step explanation:
We know that the domain of a function is the set of input or argument values for which the function is real and is defined.
Given that the graph is showing the height of a thrown ball x seconds after it is thrown.
We must check that the time can not be negative. Thus, the domain of the given graph function must have the interval [0, ∞].
In other words, t ≥ 0.
Answer:
more free points
Step-by-step explanation:
Tomas combines 8.73 ounces of strawberries with 8.86 ounces of blueberries to make fruit bowls. He pours the fruit equally into 4 bowls, and has 0.23 ounces of fruit left over. How many ounces of fruit are in each bowl?
Answer:
8.73 Ounces
Step-by-step explanation:
8.73 + 8.86 = 17.59
17.59 - 0.23 = 17.36
17.36 divide by 4 = 8.73
Each bowl has 4.46 ounces of fruit.
What is division?The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication.
Now it is given that,
ounces of strawberries = 8.73 ounces
ounces of blueberries = 8.86 ounces
So, total ounces of fruits = 8.73 ounces + 8.86 ounces
⇒ total ounces of fruits = 17.59 ounces
Left over fruit = 0.23 ounces
So, total ounces of fruit in all bowls = 17.59 ounces - 0.23 ounces
⇒ total ounces of fruit in all bowls = 17.82 ounces
Since there are 4 bowls.
Thus, ounces of fruit in each bowl = 17.82/4 ounces
⇒ ounces of fruit in each bowl = 4.46 ounces
Thus, Each bowl has 4.46 ounces of fruit.
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Can you help me with this please cause I can't do math!
Answer:
6
Step-by-step explanation:
(3x-5)+(2x-1)+(x+1) = 6x-5 = 31
6x = 36
x = 6
On a town map, each unit of the coordinate plane represents 1 mile. Three branches of a bank are located at A(−3, 1), B(2, 3), and C(4, −1). A bank employee drives from Branch A to Branch B and then drives halfway to Branch C before getting stuck in traffic. What is the minimum total distance the employee may have driven before getting stuck in traffic? Round to the nearest tenth of a mile if necessary.
The minimum total distance the employee may have driven before getting stuck in traffic is
miles.
Answer:
7.6 miles
Step-by-step explanation:
Given the coordinate points :
A(−3, 1), B(2, 3), and C(4, −1)
Distance (d) between A and B:
x1 = - 3 ; x2 = 2 ; y1 = 1 ; y2 = 3
d = √(x2 - x1)² + (y2 - y1)²
d = √(2 - (-3))² + (3 - 1)²
d = √25 + 4
d = 5.385 miles
BC :
d = √(x2 - x1)² + (y2 - y1)²
d = √(4 - 2)² + (-1 - 3)²
d = √2² + (-4²)
d = √4 + 16
d2 = 4.4721359 miles
(1/2) of d2 = 1/2 * 4.4721359 = 2.236 miles
Total distance = (5.385 + 2.236) miles
Total distance driven before getting stuck in traffic = 7.6 miles
FIND THE AREA OF THE SEGMENT AYB. IF RADIUS OF THE CIRCLE IS 21cm AND ANGLE AOB= 120 DEGREE ( use pie= 22/7)
PLZ answer very urgent
Answer:
The area of the segment AYB is 271.0413985 cm²
Step-by-step explanation:
The rule of the area of a sector is A = [tex]\frac{\alpha }{360}[/tex] × π r², where
α is the central angle of the sectorr is the radius of the circleThe area of a triangle is A = [tex]\frac{1}{2}[/tex] × s1 × s2 × sinФ
s1 and s2 are two sides of the triangleФ is the included angle between s1 and s2∵ Area of the segment AYB = Area the sector AOB - Area ΔAOB
∵ The radius of the circle is 21 cm
∴ r = 21 cm
∵ The central angle of the sector is 120°
∴ α = 120°
∵ π = [tex]\frac{22}{7}[/tex]
→ Substitute them in the rule of the area of the sector to find it
∵ Area sector AOB = [tex]\frac{120}{360}[/tex] × [tex]\frac{22}{7}[/tex] × (21)²
∴ Area of sector AOB = 462 cm²
∵ OA and OB are the radii of the circle
∴ s1 = OA and s2 = OB
∴ s1 = s2 = 21 cm
∵ The angle included between them is 120°
∴ Ф = 120°
→ Substitute them in the rule of the area of the triangle to find it
∵ Area of the Δ = [tex]\frac{1}{2}[/tex] × 21 × 21 × sin(120)
∴ Area of the Δ = 110.25√3 cm²
∵ Area of the segment AYB = Area the sector AOB - Area ΔAOB
∴ Area of the segment AYB = 462 - 110.25√3
∴ Area of the segment AYB = 271.0413985 cm²
Perimeter = 24 meters
(x + 3) m
2.xm
Answer:
umm
Step-by-step explanation:
It takes 30 tomatillos to make 8 ounces of
enchilada sauce. How many tomatillos does it
take to make 12 ounces of enchilada sauce?
Answer: 45 tomatillos
Step-by-step explanation: 30 tomatillos divided by 8 ounces is 3.75 tomatillos per ounce. So, multiply 3.75 by 12 ounces. What do we get? 45 tomatillos!
The grocery store sells cantaloupes for $4.50 per pound. Write a function to represent the situation. Then is the function continuous or discrete?
If x=5 what is the perimeter of the triangle ??????
Answer: 21
Step-by-step explanation: Replace the x with 5.
2(5) + 11 = 10 + 11 = 21
6(5) - 9 = 30 - 9 = 21
If 1 1/2 cups of water fills 2/3 of a water bottle. How many cups of water are needed to fill 1 water bottle?
Answer:
I think its 2 1/4, sorry if i'm wrong
Step-by-step explanation:
6. Let f(x) = 4x - 7 and g(x) = 2x - 3. Find (fog)(4)
sos idk how to solve this:)
Answer:
[tex]\huge\boxed{(f\circ g)(x)=8x-19}[/tex]
Step-by-step explanation:
[tex](f\circ g)(x)=f\bigg(g(x)\bigg)\\\\f(x)=4x-7;\ g(x)=2x-3\\\\\text{Put instead}\ x\ \text{expression}\ 2x-3\ \text{to }\ f(x):\\\\(f\circ g)(x)=4(2x-3)-7=(4)(2x)+(4)(-3)-7=8x-12-7=8x-19[/tex]
what is the number of x
8x-2=-9+7x
Answer:
x=-7
Step-by-step explanation:
Brain-list?
Answer:
x= -7
Step-by-step explanation:
8x-2=-9+7x
7x-8x=x
x-2=-9
+2 to -9
x=-7
please please help me!!
Answer:
5x+7
Step-by-step explanation:
every time it goes up by 5 so if that's the case if you 12 and subtract 5 then that's your constant cause that is where it started.
I hope this is good enough:
meg has $20 in a savings account that earns 10% annually. the interest is not compounded. how much will she have in 1 year
Step-by-step explanation: 10% of 20 is 2 so 20 + 2 = 22.
Hope this helps! ;)
8x+ 10y = 40 How to write this in slope-intercept form?
Step-by-step explanation:
write the slope in slope intercept form, y=mx+b
y= -4/5x + 4
hope this helps :)
Choose the TWO equations that have infinitely many solutions.
A
2(x+2) = 2 + 4
B
3(x + 1) = 3x + 2
С
3x + x = 4x
D
2(x + 1) = 2x + 1
E
3(x + 1) = 3x + 3
Answer:
C and E has All real numbers are solutions.
Step-by-step explanation:
hope this helps
What is the value of x?
Answer:
15
Step-by-step explanation:
(180-78-12)/6
Solve the system by graphing.
y = 3x -4
y= -1/2x +3
Answer:
(2,2)
Step By Step Solution:
(2,2)
Find the slope: y=23x+10
Answer:
the slope is 23
Step-by-step explanation:
this is hard guys helppppp
Answer:
2. x= -7
3. x= 56/9
Step-by-step explanation:
All you do is just solve for x. Easy! :D
If you can please make my answer the brainliest that would be much appreciated. Thanks!
A small order of fries at Wendy’s has 90 more calories than the small order of fries at McDonald’s. If together they have 550 calories, how many calories are in the Wendy’s small order of fries?
Answer:
370
Step-by-step explanation:
can i get brainliest
Lila wrote an equation of the cost for printing brochures, where x represents the number of brochures and y represents the total cost. The total cost for 35 brochures is $41.45. The total cost for 65 brochures is $55.55. Step 1: Write the ordered pairs (35, 41.45) and (65, 55.55). Step 2: Find the slope. M = StartFraction 55.55 minus 41.45 Over 65 minus 35 EndFraction = 0.47 Step 3: Find the y-intercept to write the equation in slope intercept form. Y minus 55.55 = 0.47 (x minus 35). Y minus 55.55 = 0.47 x minus 16.45. Y = 0.47 x + 39.1.
Answer:
y = 0.47x + 25
y1 = 41.45 and not 55.55
Step-by-step explanation:
Given that:
x = number of brochures
y = total. Cost
Total cost of 35 brochures = $41.45
Total cost of 65 brochures = $55.55
The ordered pairs :
(x1, y1) ; (x2, y2)
x1 = 35 ; y1 = 41.45 ; x2 = 65 ; y2 = 55.55
(35, 41.45), (65, 55.55)
The slope :
Slope (m) = change in y / change in x
m = (y2 - y1) / (x2 - x1)
m = (55.55 - 41.45) / (65 - 35)
m = 14.1 / 30
m = 0.47
The y intercept :
y - y1 = m(x - x1)
y - 41.45 = 0.47(x - 35)
y - 41.45 = 0.47x - 16.45
y = 0.47x - 16.45 + 41.45
y = 0.47x + 25
Lila incorrectly chose 41. 45 as y1
Answer:
C. Lila made an error in Step 3 when she did not use the x- and y-coordinates from the same ordered pair.
Step-by-step explanation:
Took the quiz on Edge && Made an 100%
Scientists estimate between 10,000,000 and 50,000,000 monarch
butterflies per hectare spend the winter in Mexico. The monarch butterfly
colony covers an area of 2 hectares. What is the difference between the
greatest and least possible number of butterflies in the monarch colony?
Answer:
Step-by-step explanation:The Monarch Butterfly Biosphere Reserve is a World Heritage Site containing most of the ... The monarch butterflies migration patterns are altered by climate change. During migration ... This area is predominantly covered in forests. ... These colonies are dense, with between six and sixty million butterflies per hectare.
Answer:
80,000,000
Step-by-step explanation:
The difference between 10,000,000 and 50,000,000 is 40,000,000 per hectare. The question states two hectares, so 40,000,000 x 2 is 80,000,000.
Hope that helps.
Subtract.
(2x4−x2+5x−2)−(−x4+3x3+2x2−1)
Answer:
477
Step-by-step explanation:
:)
You buy a watch for $60. a. There is a 6% sales tax. What is your total cost for the watch? b. Your friend buys the same watch a month later. It is now sold at a discount of 15%. What is the new sale price? c. What is your friend's total cost for the watch including tax? Original Price Percent of Discount Sale Price is?
Elizabeth Martz
Answer:
A= 63.6$
B= 51$
C= 54.6
D= ??? (sorry)
Step-by-step explanation:
hope this helps!
The answers to each part is given below.
What is percentage?In mathematics →
a percentage is a number or ratio expressed as a fraction of 100.it is often denoted using the percent sign "%".Given is that you buy a watch for $60.
{a} -Total cost of watch -
{C} = ${60 + (6% of 60)}
{C} = ${60 + (6/100 x 60)}
{C} = $(60 + 3.6}
{C} = $63.6
{b} -New sale price -
{D} = 60 - (15% of 60)
{D} = 60 - (15/100 x 60)
{D} = 60 - 9
{D} = $51
{c} -Total cost of watch including tax -
{CT} = 51 + (6% of 51)
{CT} = 51 + 3.06
{CT} = 54.06
Therefore, the answers to each part is given above.
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HELP FIND THE SLOPE. pLEASEEEEEEEE
Answer:
the slope is undefined
What is (20+7) x 9+4
solution,
(20+7)×9+4
27×9+4
243+4
247
Answer:
247
Step-by-step explanation:
(20 + 7) x 9 + 4
(27) x 9 + 4
243 + 4 = 247
Thus, (20+7) x 9+4 = 247
-TheUnknownScientist
Jordan is using a six-sided number cube to predict whether people shopping in the mall arrive by car or by bus. Based on data gathered in a survey, Jordan decided that a roll of 1 or 2 would represent a person having taken the bus, while any other outcome would represent arriving by car.
Answer:
1/3 of the people come by bus
2/3 of the people come by car
Step-by-step explanation:
The probability of getting a 1 or 2 by rolling the six sided number cube is
P ( 1or 2) = 1/6 + 1/6= 2/6= 1/3
The total probability is always 1 so to get the probability of people arriving by car we subtract the probability of people arriving by bus from 1.
P ( not getting 1 or 2) = 1- P ( 1or 2)
= 1- 1/3= 2/3
The probability of people arriving by bus is 1/3 and the probability of people arriving by car is 2/6or 2/3.
Answer:
The answer is C.As Jordan conducts more trials, the percent of people predicted to take the bus will approach 33%. PLS MARK ME BRAINLYIEST PLS
Step-by-step explanation: