Answer:
Laura will have exactly $72.00 after purchasing the bicycle.
Step-by-step explanation:
We are given that Laura ends $115 per month of babysitting.
We also learn that she wants to save her money from June and July, which means she wants to save her money over a period of two months.
Therefore, she will earn $115 twice.
[tex]\displaystyle{\$115 \times 2 = \$230}[/tex]
Then, she wants to purchase a bicycle that costs $158, so we need to subtract the cost of the bicycle from her total earnings.
[tex]\$230 - \$158 = \$72[/tex]
Therefore, Laura will have exactly $72.00 remaining after her purchase.
When graphing inequalities, where can the solutions be found?
Solutions will be located in the shaded region. Since this is a “less than” problem, ordered pairs on the boundary line are not included in the solution set. These values are located in the shaded region, so are solutions. (When substituted into the inequality x–y<3.
When solving systems of inequalities, the solutions are the regions where all the inequalities are true and will be represented by the intersection of the shaded areas.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
When graphing inequalities, the solutions can be found on the side of the number line or the coordinate plane where the inequality is true.
For example, if the inequality is x > 3, the solutions would be all the values of x that are greater than 3. These solutions would be represented by shading the area to the right of line x = 3 on the coordinate plane.
Similarly, if the inequality is y < 2, the solutions would be all the values of y that are less than 2. These solutions would be represented by shading the area below the line y = 2 on the coordinate plane.
It's important to note that when solving systems of inequalities, the solutions are the regions where all the inequalities are true and will be represented by the intersection of the shaded areas.
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A rhombus is graphed
on the set of axes below.
Answer:
Step-by-step explanation:
reflection over y-axis
Option A is correct, 180 degree rotation counter clockwise about the origin is transformation which would carry the rhombus onto itself.
We need to consider the properties of a rhombus and how each transformation affects its shape and orientation.
A rhombus is a quadrilateral with all four sides of equal length. It also has opposite angles that are congruent. Based on this information, we can analyze each transformation option:
180-degree rotation counterclockwise about the origin is a transformation would preserve the shape and size of the rhombus since a 180-degree rotation does not change the lengths of the sides or the angles.
Therefore, it is a possible transformation that carries the rhombus onto itself.
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which numberline model represents the expression -4.5+(-3.5)
Answer:
-4.5
Step-by-step explanation:
The number line represents the expression -4.5 + (-3.5) which equals -8 and it is given below.
We have,
To represent the expression -4.5 + (-3.5) on a number line model, start by placing a point at -4.5 on the number line.
Then, we move to the left by a distance of 3.5 units, representing the addition of -3.5.
Now,
-4.5 + (-3.5) = -8
The representation of the expression -4.5 + (-3.5) on a number line is given below.
Thus,
The number line represents the expression -4.5 + (-3.5) which equals -8.
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PLEASE HELP!! I have asked this many times with no answers I really need help.
What is the direction, y-intercept, and zeroes of f(x) = 4x^2 + 10x + 12.
The direction of f(x) = 4x² + 10x + 12 is in upward direction.
y intercept of the f(x) is (0,, 12).
And number of zeros in f(x) is 2, at x = -5/4 + (√23 / 4)i and -5/4 - (√23 / 4)i.
What is function?
Function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.
The given function is,
f(x) = 4x² + 10x + 12.
The coefficient of x² is 4 which is positive, therefore, the graph is in the upward direction.
To find y intercept of the function,
Substitute x = 0, in the function,
f(x) = y = 4 (0)² + 10 (0) + 12
y = 12
The y intercept of the function is (0, 12).
To find the number of zeros, Substitute f(x) = 0,
Implies that,
4x² + 10x + 12 = 0
The values of x for the given quadratic equation are,
x =-5/4 + (√23 / 4)i and x =-5/4 - (√23 / 4)i
The number of zeros is two at -5/4 + (√23 / 4)i and -5/4 - (√23 / 4)i.
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Liam and Sam shared a chocolate bar. Liam ate 3/5 and Sam ate 4/10. Who ate more? How much more?
Liam ate 6/10, so 2/10 more.
Answer:
liam ate more . he ate 1/5 parts more
what is the perimeter of this figure? (3.14 for pi)**round ur answer to the nearest whole number
nearest is 3.2 that is with whole bumber
On weekdays it costs £6.50 per hour to hire a tennis court at Meadway
Tennis Club. On Saturdays the cost is 30% more. How much does it cost to
hire a court for 2 hours on a Saturday?
Answer: £16.90
Step-by-step explanation:
From the question, we are informed that it costs £6.50 per hour to hire a tennis court at Meadway Tennis Club but that on Saturdays the cost is 30% more. The cost in Saturdays per hour will then be:
= £6.50 + (30% × £6.50)
= £6.50 + ( 0.3 × £6.50)
= £6.50 + £1.95
= £8.45
The cost to hire a court for 2 hours on a Saturday will then be:
= £8.45 × 2
= £16.90
Simplify this expression using the distributive property.
3.1(x + 1) + 4(x – 2.3)
What is the expression in its simplest form?
3.1x + 3.1 + 4x – 9.2
0.9x + 9.2
7.1x – 6.1
12.4x + 6.1
Answer:
7.1x−6.1
Step-by-step explanation:
Distribute:
=(3.1)(x)+(3.1)(1)+(4)(x)+(4)(−2.3)
=3.1x+3.1+4x+−9.2
Combine Like Terms:
=3.1x+3.1+4x+−9.2
=(3.1x+4x)+(3.1+−9.2)
=7.1x+−6.1
Answer:
7.1x - 6.1
Step-by-step explanation:
Uh some math question..
Luis purchased 24 purple
plants and 8 pink plants.
He wants to plant them in
equal groups in his garden.
What is the largest number
of groups, he can make?
Answer: 8 groups is the largest number of groups he can make
is 3x-2>1 a strict inequality
Answer:
Inequalities involving the symbol '>' or '<' are called strict inequalities.
Step-by-step explanation:
Hope this helped!
. Divide the circumference by the ant length in meters. About how many ants would make a trail around the Earth? Write the standard form, and scientific notation.
1, 2, 3, or 4?
i need this ASAP!!
will give brainliest and a thanks to fast answers
Answer:
Step-by-step explanation:
-10 since +5-15 =-10 so 2
What is 480 divided by 60
Answer:
8
Step-by-step explanation:
The given number 480 divided by 60 equals 8.
The division process involves successive subtraction of the divisor from the dividend until the remainder becomes less than the divisor.
To 480 divided by 60, to perform this division by dividing 480 by 60, resulting in a quotient of 8.
Division is an arithmetic operation that separates a number into equal groups, in this case, 480 is divided into 60 groups of equal size, and each group contains 8 items.
Dividing 480 by 60 can also be represented as 480 ÷ 60 = 8.
Hence, divide the given number 480 by 60 is equal to 8.
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Find the volume of the composite figure.
4 ft
8 ft
12 ft
8 ft
14 ft
Answer:
¯\_(ツ)_/¯
Step-by-step explanation:
¯\_(ツ)_/¯
Solve the system of equations using the substitution method (solving for x and y intercepts). Please give graphing points.
x+y=5
2x-y=-2
WILL GIVE BRAINLIEST
Answer:
(x, y) = (1, 4)
Step-by-step explanation:
Given: x+y=5 and 2x-y=-2
Solve for y and x
x+y=5; solve for y
y = 5 - x; substitute into other equation
2x-y= -2
2x - (5 - x) = -2
2x - 5 + x = -2; combine x's
3x - 5 = -2; add 5 to both sides
3x =3; divide by 3
x = 1; use this to solve for y
x+y=5
1 + y = 5; subtract 1 from both sides
y = 4
(x, y) = (1, 4)
Find the improper fraction that is equivalent to eight and five sixths
Answer:
53/6
Step-by-step explanation:
The moon is at a distance of 384000km from the earth and its
path around the earth is nearly circular. Find the circumference
of the path described by the moon in one complete revolution
about the earth. (π = 3.14)
Step-by-step explanation:
As this path will be nearly circular which gives us that the distance between the earth and the moon acts as the radius for that respective circular path. ... Hence, the circumference of the path described by the moon in one complete revolution is 2,41,152 km.
Step-by-step explanation:
Due to travelling faster than light, dark matter has a higher than usual mass in relation to its resting mass, thus accounting for the large 'missing' mass around galaxies. ... Dark matter is therefore non-baryonic, travelling faster than light and has a mass half that of a photon.
mark upper one as brainliest
.....
so hope u understood
.....s
Due to travelling faster than light, dark matter has a higher than usual mass in relation to its resting mass, thus accounting for the large 'missing' mass around galaxies. ... Dark matter is therefore non-baryonic, travelling faster than light and has a mass half th
...djs
jwjwat of a photon.
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Write 36 as a Product of is prine
numbers
Write the factors in order, from smallest
to largest
36
Answer:
Step-by-step explanation:
Factors of 36 = 1 2 3 4 6 9 12 18 36
the Prime Factors of 36 are: 2, 2, 3, 3.
This is the answer
Answer:
36 = 2*2*3*3
or
2^2 * 3^2
Step-by-step explanation:
Break 36 into prime factors
36 = 6*6
Since 6 isn't a prime number, factor 6
36 = 2*3 * 2*3
2 and 3 are prime numbers
In order from smallest to largest
36 = 2*2*3*3
or as exponents
36 = 2^2 * 3^2
can u help me with my math
1b think
I am not sure
My teacher gave me something wierd to answer but can you help? Plz!!!!
The question is what organ affected you and your family and how
What is 400,000 in scientific notation?
O A) 40 x 104
OB) 400 x 103
OC) 4 x 106
OD) 4 x 105
Answer:
4 x 10⁵
so that i think will be OD)
please help me this question
Answer:
(b) or (d)
Step-by-step explanation:
stidents who play basketball = 4y^2 + y - 8 - (2y + 16) = 4y^2 - y - 24
This is a question on forming and solving equations and expressions. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Answer: Choice (b) 4y^2 - y - 24; top right corner
===========================================================
Work Shown:
T = total number of students in the class
T = 4y^2 + y - 8
F = number of students who play football
F = 2y+16
B = number of students who play basketball
B = unknown for now
Since a student either plays football or basketball, but not both, this means
T = F+B
which rearranges to
B = T-F
Plug in the given expressions and simplify
B = T-F
B = (4y^2+y-8) - (2y+16)
B = 4y^2+y-8 - 2y - 16
B = 4y^2 + (y-2y) + (-8-16)
B = 4y^2 - y - 24
help again:)!
Mr. Phuong stayed in a hotel room for 2 nights that cost $210. The hotel room tax rate is 12%. What is the total cost for the hotel room?
Answer:
$235.2
Step-by-step explanation:
$210 * (100%+12%)
= $210 * 112%
= $210 * 1.12
= $235.2
Hope this helped!
Answer:
The final answer is $470.40.
Step-by-step explanation:
210 x 2 = $420
To find the final price including tax, we must find 12% of $420.
420 x 0.12 = $50.4
Now, we must finalize the price by adding the tax to the price without tax.
$420 + $50.4 = $470.40
Therefore, the final cost for the hotel room is $470.40.
Hope this helps you out! :)
2/18 x 16
answer fast !!!!!!!!!!!!!!
What is the solution of 2.4x+2.6=17
Answer:
x=6
Step-by-step explanation:
How would I unrationalize this fraction?
I am trying to find the cotangent in simplest form
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[tex] \cot(teetha) = - 1[/tex]
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The cotangent in simplest form is -1.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
cos θ = √2 / 2
We know that from trigonometric ratio,
[tex]cos \theta = \frac{Adjacent}{Hypotenuse}[/tex] , [tex]cot \theta = \frac{Adjacent }{ Opposite }[/tex]
So, the adjacent side = √2 and the hypotenuse side = 2.
The other side of the right triangle can be found by Pythagoras theorem,
[tex]hypotenuse^{2}=adjacent^{2}+opposite^{2}[/tex]
⇒ [tex]2^{2}=(\sqrt{2} )^{2} +opposite^{2}[/tex]
⇒ [tex]opposite^{2} = 4-2[/tex]
⇒ [tex]opposite = \sqrt{2}[/tex]
Thus, [tex]cot \theta = \frac{\sqrt{2} }{\sqrt{2} }[/tex]
⇒ [tex]cot \theta = 1[/tex]
Since cot θ < 0, [tex]cot \theta = - 1[/tex]
Hence we can conclude that the cotangent in simplest form is -1.
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In the figure, a||b , and both lines are intersected by transversal t. Complete the statements to prove that ∠2 and ∠8 are supplementary angles.
Menu Options
m∠2 = m∠7 ( )
m∠7 + m∠8 = 180° ( )
Answer:
Step-by-step explanation:
m∠2 ≅ m∠7 [Alternate exterior angles]
m∠7 + m∠8 = 180° [Linear pair theorem]
m∠2 + m∠8 = 180° [Substitution property]
∠2 and ∠8 are supplementary [Definition of supplementary angles]
Which set of number is only made up of integers?
Negative 2 and StartFraction 4 Over 7 EndFraction, 0, Two-thirds, 4.6, 24
–7.6, 0, 4.ModifyingAbove 2 with bar, 16, 56
–33.3, –24, 1, 2 , 3
–23, –7, 5, 9, 190
Answer:
It is D (-23, -7, 5, 9, 190)
Step-by-step explanation:
:)
nancy has x coins. Bill has 9 coins fewer than five times the number of coins nancy has. Write and simplify an expression for the total number of coins and have.
Answer:
5x-9
Step-by-step explanation:
If Bill has 9 coins less then 5 times Nancy's coins, the number of his coins is 5x-9.
Joey built a model sailboat that is similar to his real sailboat. The triangular sail on
his real boat has a base of 25 feet. If the height of the sail on his model boat is 12
inches and the base is 15 inches, what is the height of the sail on his real boat?
Answer:
31.25
Step-by-step explanation:
25/12=2.083333
15 x 2.0833333=31.24999999995
round up to get 31.25
The height of the sail on his real boat is 20 feet.
We require the height of the sail on the real boat, H.
Let h be the height of sail on the model boat = 12 inches, B = base of sail on the real boat = 25 feet and b = base of sail on model boat = 15 inches.
By similar triangles,
H/h = B/b
H = Bh/b
Substituting the values of the variables into the equation, we have
H = Bh/b
H = 25 feet × 12 inches/15 inches
H = 25 feet × 4/5
H = 5 feet × 4
H = 20 feet
So, the height of the sail on his real boat is 20 feet.
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