Answer:
150 miles
Step-by-step explanation:
Let
x = number of miles
Plan A: 0.60x
Plan B: 75 + 0.10x
How many miles would Susan need to drive for the two plans to cost the same?
0.60x =75 + 0.10x
0.60x - 0.10x = 75
0.50x =75
x = 75/0.50
x = 150 miles
Susan needs to drive for 150 miles for the two plans to cost the same
25. Write the elements of the given set A A= { x|x is a square number less than 5}
1) 2
2) 4
3) 1
Answer:
A = (1, 4)
Step-by-step explanation:
Given :
Square numbers include : 1², 2², 3², 4²,...
x|x square numbers less than 5
1² = 1
2² = 4
3² = 9 (not applicable)
Square numbers less than 5 are ; 1, 4
Hence,
Set A = (1, 4) where, x|x square numbers less than 5
A = (1, 4)
What is the measure of
a) 66°
b) 33°
c) 228°
d) 114°
Answer:
the answer is D your welcome
A number line going from 12 to 20. An open circle is at 17. Everything to the right of the circle is shaded. Which inequality does the graph represent? x > 17 x <17 x Less-than-or-equal-to 17 x Greater-than-or-equal-to 17
Answer:
x > 17
Step-by-step explanation:
x > 17
The open circle means that it is not equal to 17. The shaded area to the right represents that it can be larger than or greater than 17.
Answer:
x > 17 your welcome
Step-by-step explanation:
i don't know i just know it
i need help, lmk if you can do them..
Answer:
25) cos X = 12/37 cos X = 0.3243 X = 71.08 degrees
26) tan C = 32/24 tan C = 1.3333 C = 53.13 degrees
27) sin Z = 15/25 sin Z = 0.6 Z = 36.87 degrees
28) sin A = 32/40 sin A = 0.8 A = 53.13 degrees
29) sin Z = 40/50 sin Z = 0.8 Z = 53.13 degrees
Answer:
25) 0.3243
26) 1.3333
27) 0.6000
28) 0.8000
29) 0.8000
Step-by-step explanation:
sin = opp/hyp
cos = adj/hyp
tan = opp/adj
25) cos X = 12/37 = 0.324324324
26) tan C = 32/24 = 1.33333333
27) sin Z = 15/25 = 0.6
28) sin A = 32/40 = 0.8
29) sin Z = 40/50 = 0.8
. CDEF is a trapezium
. ABCF is a rectangle
. BD = 9cm
. AB = 6cm
. EF = 3cm
. perimeter of ABCF = 20cm
9514 1404 393
Answer:
24 cm²
Step-by-step explanation:
To find the area of the trapezium, we must know the length CD. That means we must know the length BC. Fortunately, the perimeter of ABCF is given, so we have ...
P = 2(AB +BC)
BC = (P/2) -AB = (20 cm)/2 - 6 cm = 4 cm
Then CD is ...
CD = BD -BC = 9 cm -4 cm = 5 cm
The area of the trapezium is given by the formula ...
A = (1/2)(b1 +b2)h
A = (1/2)(5 cm + 3 cm)(6 cm) = 24 cm²
The area of trapezium CDEF is 24 cm².
Delilah deposits $8,255 in an account that pays 4.2% simple interest. How much money will be in her account after 8 years?
A.$2,773.69
B.$11,028,68
C.$12,254,66
D.$27,736,80
Answer:
$11,028.68
Step-by-step explanation:
As we all know, the simple interest formula is as follows:
[tex]P(1+rt)[/tex]
Wherein:
P = Principal amount
r = rate (in percentage so, rate/100)
t = time (in years)
Hence, when we substitute in these values,
[tex]8255(1+(4.2/100)*8)[/tex]
= $11,028,68
it will be 4.2/100 as it is percentage form.
10kg of apples cost $51. how many kilograms of apples can you get for $40.80?
Answer:
8 kg of apples
Step-by-step explanation:
First, we need to find how much 1 kg of apples cost. We can do this by dividing $51 and 10 kg:
51÷10=$5.1
Therefore, 1 kg of apples cost $5.10.
Now, to find how many apples we can get for $40.80, we can divide $40.80 by $5.10:
40.80÷5.10=8
Therefore, we can get 8 kg of apples for $40.80.
I hope this helps!
Answer:
8kg
Step-by-step explanation:
51$ ÷ 10 = price of one kg
51$ ÷ 10 = 5.1$
40.80$ ÷ 5.1$ = 8kg
What is the equation of the line with a slope of 2 through (-4, 6) in point-slope form?
O y = 2x + 14
Oy-6 = 2 (x +4)
Oy= 2x – 14
Oy+6 = 2 (x – 4)
Answer:
y - 6 = 2(x + 4)
Step-by-step explanation:
Point slope form is y - [tex]y_{1}[/tex] = m (x - [tex]x_{1}[/tex]).
[tex]x_{1}[/tex] and [tex]y_{1}[/tex] are the points that they give you in the problem, which is (-4, 6), and m is the slope, which is 2.
When you plug everything in, you should get
y - 6 = 2(x + 4).
On the bookshelf there are 16 paper bags and 20 hardback books what is the ratio of the hardbacks to paperbacks
A farmer harvested 1,760 pieces of fruit. 65% of them were not oranges. How many oranges did the farmer harvest?
Answer:
Number of oranges= 616
Step-by-step explanation:
Giving the following information:
A farmer harvested 1,760 pieces of fruit. 65% of them were not oranges.
To calculate the number of oranges, we need to use the following formula:
Number of oranges= total number of fruits*percentage of oranges
Number of oranges= 1,760 * (1 - 0.65)
Number of oranges= 616
What would be the first step in simplifying the expression 27 ÷ (4 + 5)⋅6?
Select one:
A. Divide the 27 by the 4.
B. Multiply the 5 and the 6.
C. Add the 4 and the 5.
D. Divide the 27 by the 6.
Answer:
Step-by-step explanation:
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Can someone please help me g(x) = 17 -*; g(6)
Answer:
(x + 6)(x-4) = -16
x² + 2x -24 = -16
x² + 2x - 8 = 0
(x + 4)(x-2) = 0
x = - 4 or x = 2
Step-by-step explanation:
Answer:
Divide each term in G(6)=17−(2/3)x by 6.
G(6)/6=17/6−(2/3)x⋅16
Cancel the common factor of 6.
G=17/6−(2/3)x⋅16
Simplify each term.
G=17/6−x/9
Step-by-step explanation:
A football jersey that originally sells for $75 is on sale for 25% off the original price. What is the SALE PRICE of the football jersey? *
$18.75
$74.75
$56.25
$50.00
Answer:
Step-by-step explanation:
All you do is multiply 75 x .25 = 18.75
Subtract 75 - 18.75 = $56.25
Please help me with the whole problem i give brainliest pls.
Answer:
I believe it's x<6
Step-by-step explanation:
FOURTY POINTS please help with linear
Answer:
y=x is the equation also represents that relationship.
Answer:
[tex]y=x^{2}[/tex]
Step-by-step explanation:
This is a quadratic function. 2x2=4, (-2)x(-2)=4, (-1)x(-1)=1, and 1x1=1. So, the function represented by the graph is y=[tex]x^{2}[/tex]
25 points to 50 points find the percent of change
Answer:
The percent of change 200%.
Hope that helps！
Step-by-step explanation:
Answer:
Its a 200% change i believe, hope you have a nice day!
Which rational number is NOT greater than point A?
Step-by-step explanation:
) Every positive rational number is greater than 0.
(ii) Every negative rational number is less than 0.
(iii) Every positive rational number is greater than every negative rational number.
(iv) Every rational number represented by a point on the number line is greater than every rational number represented by points on its left.
(v) Every rational number represented by a point on the number line is less than every rational number represented by paints on its right
i don't get Benchmark question #4
Answer:
C
Step-by-step explanation:
4 quartz per gallon
4 x 22 = 88 Containers
Answer:
c
Step-by-step explanation:
Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function, and rank the functions based on their axis of symmetry (from smallest to largest).
9514 1404 393
Answer:
f, h, g
Step-by-step explanation:
The axis of symmetry for a vertically-opening parabola is the line ...
x = constant
where the constant is the x-coordinate of the vertex.
__
h(x)
The equation of f(x) is given in vertex form ...
f(x) = a(x -h)² +k . . . . . vertex: (h, k)
where (h, k) = (-4, 1).
The axis of symmetry of f(x) is x = -4.
__
g(x)
The equation of g(x) is given in standard form ...
g(x) = ax² +bx +c
The line of symmetry for this parabola is ...
x = -b/(2a) = -(-16)/(2(2)) = 16/4 = 4
The axis of symmetry of g(x) is x = 4.
__
h(x)
The x-coordinate of the vertex can be read from the graph:
x = 1
The axis of symmetry of h(x) is x = 1.
__
From smallest to largest, the rank is f(x), h(x), g(x).
(4 square root of 5)^5
Write the expression in exponential form show work.
Answer:
should be 5 1/4
Step-by-step explanation:
Solve the system of linear equations. 2x + 6y = -3 2x + 6y = 0 Ο Α (0, 2) infinitely many solutions C (9,7) no solution
Answer:
Step-by-step explanation:
-3 = 2x+6y
2x+6y = 0
By transitivity, -3 = 0, a contradiction. No solution.
If you graph the lines, you will see they are parallel, therefore never intersect.
slove: x = 3y - 7
4x + 5y =- 11
show steps
Answer:
1.1 Solve x-3y+7 = 0
recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line x-3y+7 = 0 and calculate its properties
Step-by-step explanation:
The anser is in the screenshots
Answer: Solution: (-4, 1)
Step-by-step explanation:
x = 3y - 7
4x + 5y = -11
Substitute x for 3y - 7
4x + 5y = -11
4 (3y - 7) + 5y = -11
12y - 28 + 5y = -11
17y - 28 = -11
Add 28 to both sides
17y = 17
y = 1
x = 3y - 7
x = 3(1) - 7
x = 3 - 7
x = -4
Solution: (-4, 1)
Michael takes a sip of water every 20 minutes while playing soccer. He took his first sip at 3:05. When did he take his sixth sip?
Answer:
Michael took his 6th sip at 4 : 05
Step-by-step explanation:
Duration in which Michael takes a sip of water = 20 minutes
Therefore, he will take his sixth sip after (20 × 6) = 120 minutes Or after 2 hours
If he takes first sip of water at 3 : 05
Then he will take his sixth sip at ( 3 : 05 + 2 : 00)
Time at his sixth sip = 5 : 05
Please help this is timed
Answer:
The last one (f) hope u still have time
Solve for x. Round to the nearest tenth, if necessary.
Answer:
The answer is 8
Step-by-step explanation:
By using the theory of Euclid
[tex] {x}^{2} = 4 \times 16 = 64 \\ x = 8[/tex]
What is the value of x in the equation below?
X + ¼ = - ⅝
Answer:
Step-by-step explanation:
Subtract 1/4 from both sides. (Change 1/4 to 2/8 so that it can be subtracted from 5/8)
X+ 1/4 = -5/8
X = -5/8 - 2/8
X= -7/8
how to simplify numbers
Answer:
Simplify means to make smaller or more simple.
Step-by-step explanation:
You need to make the number which needs to be simplified into a number lower than the original number.
For example:
"4" would simplify to "2"
beace half of 4 is 2. This could further be simplifed as "1" is half of 2.
so if there was a fraction:
4/8
the numerator would simplify to 1 and the denominator would simplify to 2 because whatever you do to the top you must do to the bottom. The numerator stops simplifying at 1 and the denominator stops simplifying at 2
so
4/8 = 1/2
two equialent ration of 3:8
Answer:
1/2 3/4 5/6
Step-by-step explanation:
56565476544356754345676543265432
Answer:
6/16
Step-by-step explanation:
Find the slope of (3,-9) (-4, 5)
Answer:
Check pdf
Step-by-step explanation: