The cost of a brush, a sketchbook, and a paint set will be $ 2.38, $ 14.3, and $ 19.067 respectively.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Genevieve brought $35.75 to the art supply store.
She bought a brush, a sketchbook, and a paint set.
Let x be the cost of the paint set.
The sketchbook cost 3/4 the cost of the paint set. Then the cost of the sketchbook will be
[tex]\rightarrow \rm \dfrac{3x}{4}[/tex]
The brush was 1/6 as much as the sketchbook. Then the cost of the brush will be
[tex]\rightarrow \rm \dfrac{3x}{4} \times \dfrac{1}{6}=\dfrac{x}{8}[/tex]
Then the value of the paint set will be
[tex]\begin{aligned} \dfrac{3x}{4} +\dfrac{x}{8} + x &= 35.75\\\\\dfrac{15}{8}x &= 35.75\\\\15x &= 286\\\\x &= \$ 19.067 \end{aligned}[/tex]
Then the cost of the sketchbook will be
→ 3 × 19.067 / 4 = $ 14.3
Then the cost of the brush will be
→ $ 2.38
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Simplify: 39x+21x-4. Round to the nearest ten
Answer:
60x-4
Step-by-step explanation:
39x+21x=60x
Therefore, you are left with 60x-4, which is in its simplest form.
Can someone please answer this, ill give you brainliest Would be very appreciated.
For the function: (x-4)(x+2)
y intercept: (0, -8)x intercept: (-2, 0) and (4, 0)vertex: (1, -9)Point these coordinates and draw a curve on the graph.
Answer:
See below ~
Step-by-step explanation:
Information needed to sketch the graph's function :
x-intercepts : (4, 0) and (-2, 0)Vertex : (1, -9)y-intercept : (0, -8)Graph :
By plotting these points on a graph, and connecting the points by a curve, we obtain the resultant graph of the function :
help, I need it by 9:00 am
Option B. because all rational numbers are integers.
Have a look at the above venn diagram showing the relationship between - Real, irrational, rational, integers, whole and natural numbers.
[tex]\longrightarrow{\green{Option \: B.}}⟶Option \: B.[/tex]
James read 4 pages in a book in 6 minutes. How
long would you expect him to take to read 6
pages?
Answer:
We can solve by using a proportion
4 pages/6 minutes = 6 pages/x minutes .... cross-multiply.....
4x = 36 divide by 9 on each side
x = 9 minutes
Step-by-step explanation:
Find the slope of the tangent line to the curve y = 3x2
- 2x at the point (1,2)
Studying for final pls help
Answer:
slope is 4
Step-by-step explanation:
since your trying to find the slope of the tangent line, you have to find the first derivative, once you do plug in your x to give your slope at the designated spot,
split 54 between 4 people
Answer:
your answer is 13.2
Step-by-step explanation:
So confused! Anyone good at this?
Answer:
x = 90 degrees.
Step-by-step explanation:
These are all regular octagons and the value of x = 2 * external angle of an octagon.
The sum of external angles of a polygon sum to 360 degrees and in the case of an octagon each external angle = 360/8 = 45 dgrees,
So angle x = 2*45 = 90 degrees.
Please answer
taylor is playing a board game with two friends. using a single dice, one friend rolled a one, and the other friend rolled a three. taylor needs to roll a number higher than both than both friends in order to win the game, and she wants to calculate her probability of winning. how many desired outcomes should taylor use in her probability calculation?
a. 3
b. 4
c. 6
d. 2
Using the probability concept, it is found that the number of desired outcomes that Taylor should use in her calculation is given by:
a. 3
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, Taylor needs a number greater than 3, which for the dice are 4, 5 and 6, that is, 3 desired outcomes, hence option A is correct.
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Answer: The answer is 3
Step-by-step explanation:
A, B and C lie on a straight line segment.
A, E and D lie on a straight line segment.
BE = 1.75m, CD = 7m and BC = 1.5m.
Work out the length of AB.
A
E
B
D
С
The value of AB id 0.5 unit.
What is AAA similarity ?The Angle-Angle-Angle (AAA) criterion for the similarity of triangles states that “If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion) and hence the two triangles are similar”.
What are corresponding angles?Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal are called corresponding angles and they are always equal.
According to the given question.
A, B and C lie on the straight line segment. and A, E, and D are also lie in the straight line segment.
Also, BE = 1.75m, CD = 7m and BC = 1.5m
Now, in ΔAEB and ΔADC
EB is parallel to BC
So,
∠AEB ≅ ∠ADC (corresponding angles)
∠ABE ≅ ∠ACD (corresponding angles)
∠EAB ≅ ∠DAC (common angle to the both triangle)
Hence, by AAA Similarity rule
ΔAEB is similar to ΔADC
Therefore,
[tex]\frac{AE}{AD} =\frac{BE}{CD} =\frac{AB}{AC}[/tex] (sides of the similar triangles are in proportion)
So,
[tex]\frac{BE}{CD} =\frac{AB}{AC} \\\implies \frac{AB}{AC} =\frac{1.75}{7} ....(i)[/tex]
Now, AC = AB + BC (as, A, B, and C lie on a straight line)
[tex]\implies \frac{AB}{AB+BC} =\frac{1.75}{7}[/tex] (from (i))
[tex]\implies \frac{AB}{AB+1.5} =\frac{1.75}{7}[/tex]
[tex]\implies 7AB = 1.75AB + 1.75(1.5)[/tex]
[tex]\implies 7AB -1.75AB = 2.625[/tex]
[tex]\implies 5.25AB = 2.625[/tex]
[tex]\implies AB = \frac{2.625}{5.25} = 0.5[/tex]
Hence, the value of AB id 0.5 unit.
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1/3 + 1/4 + ? = 1
? = the answer
Answer:
5/12 (corrected)
Convert with lowest common denominator, 12(find by multiplying)
1/3 = 4/12
1/4 = 3/12
Add the fraction's numerators
4 + 3 = 7
Subtract by 1 whole
7/12 - 12/12 = 5/12
Thus, your answer is 5/12
Answer:
5/12
Step-by-step explanation:
to give the fractions the same denominator, find their gcm
3 * 4 = 12
therefore multiply 1/3 by 4/4 to get 4/12
multiply 1/4 by 3/3 to get 3/12
3/12 + 4/12 = 7/12
to find the remainder subtract
12/12 - 7/12 = 5/12
your answer is 5/12
hope this helps:)
Drag the tiles to the correct boxes to complete the pairs.
Match each word problem to the equation that models it.
Matching each word problem to the equation that models it :
The sum of the squares of two positive integers is 394. if one integer is less than the other and the larger integer is x, find the integers. is modelled by : 2[tex]x^{2}[/tex] - 4[tex]x[/tex] - 390 = 0The sum of a positive integer x, and its inverse is [tex]\frac{4}{3}[/tex]. Find the integer models = 3[tex]x^{2}[/tex] - 4[tex]x[/tex] + 3 = 0The numerator of a fraction is 5 more than its denominator, if 3 is added to both the numerator and denominator, the fraction reduces to [tex]\frac{4}{3}[/tex]. Find the original fraction if x is its denominator models 3[tex]x[/tex] + 24 = 4[tex]x[/tex] + 12Meaning of word problemA word problem is a problem that is written in english format. the student is left with a task to unravel and transform it to a mathemtical equation.
in conclusion, the word problem has been matched to their individual equation they model.
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Can't figure out the other ones. There are two inages for this. Use the square to answer the following questions. DC=8.5 and DW=6
Answer:
6; 12; 8.5; 90°; 90°; 45°; 45°
Step-by-step explanation:
A square has all sides the same length, and diagonals the same length. The diagonals bisect the right angles in the corners, and they cross at right angles.
__
As you have already observed, ...
BW = DW = 6
AC = BD = 2(DW) = 2(6) = 12
Further, ...
DA = DC = 8.5 . . . . sides of a square are the same length
∠DWA = 90° . . . . . diagonals cross at right angles
∠ABC = 90° . . . . . corner angles are right angles
∠ABD = 45° . . . . . the diagonal cuts the corner angle in half
∠DCA = 45° . . . . . all of the acute angles are congruent
_____
Additional comment
A square is a rhombus that is also a rectangle. The relevant characteristics are ...
all sides of a rhombus are congruentthe diagonals of a rhombus cross at right angles. Each bisects the vertex angles at either end, which are congruent.the corner (vertex) angles of a rectangle are right anglesPart of the population of 7,500 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 3 of them are infected. How many elk are likely to be infected?
When the sample is given, the number of elk are likely to be infected is to be considered as the 450.
Calculation of the number of elk:Since the population is 7,500.
The random sample is 50.
So here be like
[tex]7500[/tex] ÷ [tex]50[/tex] × [tex]3[/tex]
= 450
hence, When the sample is given, the number of elk are likely to be infected is to be considered as the 450.
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I need help asap please
Answer:
52 seconds5833 feetStep-by-step explanation:
Each plane has a starting altitude and a fixed rate of climb. Its altitude at some time t will be the sum of the starting altitude and t times the rate of climb.
__
plane Aaltitude = starting altitude + t × rate of climb
a(t) = 4000 +35.25t
plane Bb(t) = 2427 +65.5t
same altitudeThe planes will be at the same altitude at the same time when ...
a(t) = b(t)
4000 +35.25t = 2427 +65.5t
1573 = 30.25t . . . . . . . . . . subtract 2427+35.25t
52 = t . . . . . . . . . . . . . divide by 30.25
That altitude is ...
a(52) = 4000 +35.25×52 = 4000 +1833 = 5833
summary52 seconds will pass before the planes are at the same altitude.
Their altitude then will be 5833 feet.
Which statement is true about the circumference of a circle?
A: The circumference is the measurement around the circle.
B: The circumference is the measurement of the radius.
C: The circumference is the measurement of the diameter.
D: The circumference is double the radius.
Answer:
[tex]\large\boxed{\textsf{A: The circumference is the measurement around the circle.}}[/tex]
Step-by-step explanation:
[tex]\textsf{We are asked what's true about the Circumference.}[/tex]
[tex]\large\underline{\textsf{What is the Circumference?}}[/tex]
[tex]\textsf{The Circumference is the sum of all the arcs of a circle.}[/tex]
[tex]\textsf{Arcs are the curved edges of a circle that make up the \underline{Perimeter}.}[/tex]
[tex]\textsf{Because the Circumference makes up all of the Arcs in a circle, which is the perimeter;}[/tex]
[tex]\textsf{Option A is the most reasonable choice, as the circumference is the perimeter of}[/tex]
[tex]\textsf{a circle.}[/tex]
If y varies directly with x and y = 87 when x = 3, find y when x = 5. Write and solve a direct variation equation to find the answer
Answer:
145
Step-by-step explanation:
y=kx
87=3k
k= 87/3
k= 29
y=29×5
y= 145
find the result of 765 times 95 divided by 5?
please help me
Answer:
14,535
Step-by-step explanation:
765 times 95 : 765 x 95 = 72,675
divided by 5 : [tex]\frac{ 72,675}{5} = 14,535[/tex]
Let me know if you want an even more in-depth answer
Happy to do so !
The solution of expression 765 times 95 divided by 5 is,
⇒ 14,535
We have to given that,
To find value of 765 times 95 divided by 5.
We can solve it in two parts,
⇒ 765 times 95
⇒ 765 x 95
⇒ 72,675
And, It is divide by 5,
⇒ 72,6756 / 5
⇒ 14,535
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If dave decides to go scuba diving for the first time. If he descends at -2 1/3 feet every second, at what depth will he be at after 3 1/2 seconds.
Answer:
-8.66666667 feet because:
Step-by-step explanation:
-2 1/3 x 3 = 7
-2 1/3 ÷ 2 = 1.66666666667
7 + 1.6666666667 = 8.66666667
Solve for z in the figure below.
Answer:
z = 54
Step-by-step explanation:
x° = 45° (vertical angles)5y° + 45° = 180° (Linear pair angles)-> 5y° = 180° - 45°-> 5y° = 135°-> y° = 135°/5-> y° = 27°Next, find the measures of the angles of the triangle.x° + 3y° + z° = 180° (By interior angle sum theorem of a triangle)-> 45° + 3(27°) + z° = 180°-> 45° + 81° + z° = 180°->126° + z° = 180° -> z° = 180° - 126°-> z° = 54°-> z = 54Please help i will give brainliest
Answer:
See below
Step-by-step explanation:
The flat line portions of the graph are where Tim is not moving....the first flat area is where he had the puncture to fix....the second is tea-time
A/ 16:00 - 16:20 20 minutes
B/ 2000 meters in 10 minutes would be 12 000 m /hr = 12 km/hr
C/ No, he was slower ....on the way there it took him 20 minutes total cycling time
15:30 to 15:40 plus 15:50 to 16:00
Probability & Sampling:Question 8
Mr. Evans wanted to compare the math grades of his 6th
grade students and 7th grade students. He displayed the
data on dot plots.
The conclusion that Mr. Evans can make is that On average, students in 6th Grade have lower grades than students in 7th Grade.
What is a dot plot?This is also known to be a dot chart. It is said to be a statistical chart that is made up of data points which are known to be plotted on a little and simple scale.
Note that based on the dotted plot of the student's grade, the conclusion that can be drawn or the one that Mr. Evans can make is that On average, students in 6th Grade have lower grades than students in 7th Grade.
See full question below
What conclusion can Mr. Evans make? Hint: Find the mean
answer choices
On average, students in 6th Grade have lower grades than students in 7th Grade.
On average, students in 6th Grade have higher grades than students in 7th Grade.
Students will always have a lower math grade in 6th Grade than 7th Grade.
On average, students in 6th Grade and 7th Grade have about the same grade
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can someone help me with this?
240 cm³
volume of rectangular prism:
Length * Width * Height
4 cm * 20 cm * 3 cm
240 cm³
Answer
20x4x3= 240
Step-by-step explanation:
Length x Width x Height
the radius of the bigger circle is 9cm and the area of the shaded region is twice that of the smaller circle then how long is the radius of the smaller circle ?
Answer:
the radius of the smaller circle = 3√3.Step-by-step explanation:
let C' be the bigger circle
and C be the smaller circle and r its radius.
Area(C') = π × (9² - r²)
Area(C) = π × r²
Area(shaded region) = area(C') - area(C)
= π × (9² - r²)
the statement “the area of the shaded region is twice that of the smaller circle ” means π × (9² - r²) = 2 × π × r²
Now, let’s solve the equation:
π × (9² - r²) = 2 × π × r²
⇔ π × (9² - r² - 2r²) = 0
⇔ π × (81 - 3r²) = 0
⇔ 81 - 3r² = 0
⇔ 81 = 3r²
⇔ r² = 27
⇔ r = √27
⇔ r = 3√3
Answer:
6.32
Step-by-step explanation:
Area of bigger circle = π(9)² = 81π cm²
Area of smaller circle = π(9)²/2 = 81π/2 = 40.5πcm²
Area scale factor = (Linear Scale factor)²
81π/40.5π = 9²/x² {cancel the π}
81/40.5 = 81/x² (cross multiplication)
81x² = 40.5 × 81
√x² = √40.5 (square root both sides)
x = 6.32
For an end of the year party, Ms. Dean purchased 96
stickers, 80 lollipops, and 40 cookies. Each student will
receive an equal number of each. There will be no stickers,
lollipops, or cookies left over. What is the greatest number
of students Ms. Dean can have in her class?
Answer: 15
Step-by-step explanation:
Please help fghgbvnghgbvhgghg
Answer:
x=326
Step-by-step explanation:
0.3x - 34 + 0.2x -39 = 90.
Simplify this equation.
0.5x = 163
x = 326
F is directly proportional to A. If F=36 when A=9 find, F when A=4
Answer:
16
Step-by-step explanation:
f=ka
36=9k
k=4
f=4×4
f=16
find the sum of the arithmetic series shown below 10+9+8… +(-255)
Answer:
−228
Step-by-step explanation:
10+9+8+−255
Add 10 and 9 to get 19.
19+8−255
Add 19 and 8 to get 27.
27−255
Subtract 255 from 27 to get −228.
−228
Creating a dot plots. Use the data plot below to create a dot plot
Answer:
Here
Step-by-step explanation:
Depending on the amount of the number listed on the graph shows the dot amount
if v1 = (3,7) and v2 = (2,4), then v1 v2 is equal to which of the following
Answer:
If it is dot product, then 32.
Step-by-step explanation:
3*2+7*4
6+28
32
The table shows the ratio of people who ate a certain type of lunch to the total number of people who ate lunch. A total of 840 people ate lunch. What statement is true?
The sum of the individual lunch ate by people is equal to the total number of people who ate lunch.
What is an equation?An equationi is an expression that shows the relationship between two or more variables and number.
Given that the total number of people who ate lunch is 840, hence:
The sum of the individual lunch ate by people is equal to the total number of people who ate lunch.
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