Answer:
14
Step-by-step explanation:
The student is paid K50 each day so after 20 days they should have K1000 but he is paid K700 which means they missed some days of work.
So we divide K700 by K50 which then gives us 14, therefore the student worked 14 days out of 20.
What is the distance from m(-1,6) to n(11,1)
Soln:
Let m(-1,6) be (x1, y1) & n(11,1) be (x2, y2).
Now,
Use distance formula and calculate it
On her way home from work, Sandra fills up her car. She likes the idea of using gasoline with ethanol, but thinks her car can only handle 30% ethanol. At the gas station, she can use regular gas with 10% ethanol or E70 fuel with 70% ethanol.
How many gallons of each type of fuel should Sandra use if she wants to fill up her car with 9 gallons of fuel containing 30% ethanol?
Answer:
6 gallons of 10% ethanol gas and 3 gallons of the E70 fuel.
Step-by-step explanation:
Let the volume of 10% ethanol gas be x gallons and the volume of 70% be y gallons.
The resulting mixture ( 9 gallons) must have a strength of 30% ethanol.
SO WE HAVE THE SYSTEM:
x + y = 9
0.10x + 0.70y = 0.30 * 9
0.10x + 0.70y = 2.7
Multiplying the first equation by -0.10:
-0.10x - 0.10y = -0.9
Adding the last 2 equations:
0 + 0.60y = 1.8
y = 1.8 / 0.6 = 3 gallons.
So x = 9 - 3 = 6 gallons.
6 gallons of 10% ethanol gas and 3 gallons of the E70 fuel.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Let the volume of 10% ethanol gas be x gallons and the volume of 70% be y gallons.
The resulting mixture ( 9 gallons) must have a strength of 30% ethanol.
x + y = 9
0.10x + 0.70y = 0.30 * 9
0.10x + 0.70y = 2.7
Multiplying the first equation by -0.10:
-0.10x - 0.10y = -0.9
Adding the last 2 equations:
0 + 0.60y = 1.8
y = 1.8 / 0.6 = 3 gallons.
So x = 9 - 3 = 6 gallons.
To know more about an expression follow
https://brainly.com/question/17277463
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find the area of a triangle if do math problem 5 stars and brainly points
Answer:
24
Step-by-step explanation:
area of a triangle = 1/2 ( base length * height )
given base length : 6
given height : 8
area of triangle = 1/2(8*6)
==> multiply 8 and 6
area of triangle = 1/2(48)
==> multiply 1/2 and 48
area of triangle = 24 square units
Given f(x) = 3x - 5 and g(x) = -2x + 1, find h(x) = f(x) - g(x)
Answer:
h(X)=5x-6
Step-by-step explanation:
Fill in variables with corresponding equations.
h(X)=(3X-5)-(-2X+1)
Distribute the - sign to (-2X+1)
h(X)=3X-5+2X-1
Add and subtract values together to find answer
h(X)=5X-6
help me please if that's okay , thank you sm
Answer:
9. is true
10. is false
hope this helps
Step-by-step explanation:
Step-by-step explanation:
9 is true and 10 is true as well
please help on number 5 and 6 i’ll give 15 points
ts
Find the quotient.
5
14)154
O 10
O 10.5
O 11
O 11.7
Answer:11/c
Step-by-step explanation:
(6 points) which answer describe the shape below? Check all that apply
If y(x) = 4x, what is x when y(x) = 4?
Replace y(x) with 4:
4 = 4x
Divide both sides by 4:
x = 1
(HELP) What is the length of xy in xyz?
Answer:
xy=6
Step-by-step explanation:
sin θ= opposite side÷ hypotenuse
sin 30°= xy÷12
sin 30°=1/2
Therefore,
1/2=xy÷12
1/2×12=xy
xy=6
Celeste drinks at least 8 cups of water each day. She drinks her water from a bottle that holds 2 cups of water. So far, she drank 1.5 cups of water. Solve the inequality that shows the number of bottles of water Celeste should drink so that she drinks at least 8 cups of water.
Step-by-step explanation:
8 cups total a day
1 bottle holds 2 cups (Celeste drinks 4 bottles a day = 8 cups)
If she drank 1.5 bottles already, she needs to drink 2.5 bottles
Let x be the number of bottles she needs to drink to have at least 8 cups
The inequality is x >= 2.5 bottles
Need help with math probelm if do 5 stars and brainly points
Answer:
63 units^2
Step-by-step explanation:
the area of the rectangle is 48 units^2
l*h=a
6*8=a
48=a
The area of the triangle is 15 units^2
b*h/2=a
6*5/2=a
30/2=a
15=a
Let me know if you have any further questions, hope this helped!
Divide.
1.95 -0.5
please answer asap:(
Answer:
Step-by-step explanation:
3.9
On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a negative slope and has a formula of y = negative x. The parallelogram has points G (negative 2, negative 3), F (1, negative 3), E (negative 1, negative 5), and H (2, negative 5).
What are the coordinates of the image of vertex F after a reflection across the line
y = –x?
A. (–1, –3)
B. (3, –1)
C. (1, 3)
D. (–3, 1)
Answer:
B. (3, –1)
Step-by-step explanation:
Reflection in the line y=-x is described by the transformation ...
(x, y) ⇒ (-y, -x)
Then the point of interest becomes ...
F(1, -3) ⇒ F'(3, -1) . . . . matches choice B
Answer:
The correct answer is B
Step-by-step explanation:
This is correct because it is correct
CORRECT AND SERIOUS ANSWERS ONLY ORELSE REPORT
Answer:
fraction: 98/100 = 49/50decimal: 0.98percent: 98%Step-by-step explanation:
The fraction will represent the number of shaded squares over the total number of squares. You have correctly identified it as 98/100. That fraction can be reduced, if you like, to 49/50.
The pronunciation of your fraction is "ninety-eight hundredths." The decimal number with that same pronunciation is 0.98.
The symbol % and the symbol /100 have identical meaning. This makes them essentially interchangeable.
98/100 = 98%
Your numbers are ...
98/100 (or 49/50), 0.98, and 98%.
_____
Additional comment
We have shown you that % is a shorthand way to write /100. There is another similar symbol: ‰ is shorthand for /1000.
1/100 is one percent. 1/1000 is one mil.
A population of beetles are growing according to a linear growth model. The initial population (week 0) is
P
0
=
5
, and the population after 7 weeks is
P
7
=
47
.
After how many weeks will the beetle population reach 113?
9514 1404 393
Answer:
18 weeks
Step-by-step explanation:
We are given the (time, population) pairs (0, 5) and (7, 47). With these values, we can use the two-point form of the equation of a line to write the equation of the linear model.
p = (p2 -p1)/(t2 -t1)(t -t1) +p1
p = (47 -5)/(7 -0)(t -0) +5
p = 6t +5 . . . . . the linear model matching the given points.
For p = 113, the time (number of weeks) is ...
113 = 6t +5
108 = 6t . . . . . . subtract 5
18 = t . . . . . . . . . divide by 6
After 18 weeks, the beetle population will reach 113.
The formula of the diameter, radius, and area of a circle.
Answer:
Step-by-step explanation:
diameter = 2r
radius = C/2π
area = πr^2
Frank owed Alan $30. One week he paid him $14. Another week he paid him $8.50 What percentage of the $30 does Frank still owe to Alan?
What is the value of h in the figure below? In this diagram, ABAD - ACBD.
h
16
C
25
A.
16
9
B. 400
C. 12
D.
9
E. 225
0 0
F. 16
Answer:
h =12
Step-by-step explanation:
[tex]In\: \triangle ABC, \: \angle ABC = 90\degree \: \&\:\\ BD\perp AC[/tex]
Therefore, by geometric mean property:
[tex]BD = \sqrt {AD\times CD} \\
h = \sqrt {(AC-CD) \times CD} \\
h = \sqrt {(25-16) \times 16} \\
h = \sqrt {9 \times 16} \\
h = \sqrt {144} \\
\huge \red {\boxed {h = 12}} \\
[/tex]
Answer:
Step-by-step explanation:
12
the length of a rectangle is 4 times it’s width. The rectangle has an area of 1024cm squared
[tex]Your answer it W^2 = 1024/4 = 256.[/tex]
Step-by-step explanation:
What is the slope between the points (–2, 1) and (2, 6)?
5/4
-4/5
4/5
-5/4
To find the slope, we must know the equation
--> [tex]slope = \frac{y2-y1}{x2-x1}\\[/tex]
Now using the information given, (-2,1) and (2,6), let's plug that into the equation
--> [tex]slope = \frac{6-1}{2--2} = \frac{5}{4}[/tex]
In this case, the slope is 5/4
Hope that helped!
Answer:
[tex]\rn\hookrightarrow 5/4[/tex]
Step-by-step explanation:
[tex]Solution,\\\\Let,\\(x_1,y_1)=(-2,1)\\\\(x_2,y_2)=(2,6)\\\\Now,\\\\\rn\hookrightarrow Slope=\frac{y_2-y_1}{x_2-x_1}\\\\\rn\hookrightarrow Slope=\frac{6-1}{2-(-2)} \\\\\rn\hookrightarrow Slope=\frac{5}{4}[/tex]
Cube the following numbers.
a. 1
b. 2
c. 4
d. 8
Answer:
I need to know the equation, but if you have to cube them then you will find your answer right away if you google how to cube numbers.
Step-by-step explanation:
Sorry for the bad answer.
Simplify the following expression
Answer:
25
Step-by-step explanation:
20 - (+7) + - (6) = whats the answer
20 - (+7) + - (6)
Answer: 7
Answer:
Answer is 7
20-(+7)+(-6)= ?
(20-7)-6
13-6
7
Try This question out and I’ll give you brainliest
Answer:
7/12ths
Step-by-step explanation:
2/3rds of the way full would be 8/12. Since she started at 1/12th of a tank, 7/12ths was added. (:
9x-8y= 1
18x - 16y= 2
Answer:
all real numbers.
Step-by-step explanation:
9x - 8y = 1
18x - 16y = 2
if you look at the first equation, you can figure out what y equals.
9x - 8y = 1
add 8y to both sides
9x = 1 + 8y
subtract 1 from both sides
9x - 1 = 8y
divide both sides by 8
[tex]\frac{9x - 1}{8}[/tex] = y
now, substitute y in the second equation.
18x - 16y = 2
18x - 16([tex]\frac{9x - 1}{8}[/tex]) = 2
18x - 2(9x - 1) = 2
18x - 18x +2 = 2
2 = 2
the answer is all real numbers, because regardless of what x equals, 2 will always equal 2.
What is the slope of the line that passes through the points (-8, -6) and (-8,4)?
Write your answer in simplest form.
[tex]\\ \rm\rightarrowtail m=\dfrac{4+6}{-8+8}[/tex]
[tex]\\ \rm\rightarrowtail m=10/0[/tex]
Parallel to x axis[tex]\\ \rm\rightarrowtail m=\infty[/tex]
A vertical wall AB which is 5m high was built on level ground. The distance of a point C on the ground from the base of the wall is 12m. Calculate the distance from the top of the wall to the point C..
Help help math math ASAP
Answer:
y equals to x plus 9
Step-by-step explanation:
-x+y=9
so, y=x+9
Find the area of the figure.
3inches
5inches
7 inches
7 inches
4 inches
Answer:
26 inches
Step-by-step explanation:
You need to add 3+5+7+7+4= 26 because you need to find the area of the figure which the inches are area to add and get how many inches in the figure. Sorry if you don't get it but the answer is 26 inches.