Answer:
Step-by-step explanation
round the numbers so it is easier to work with
10 * 7 = 70
70 * 7 = 490
20 * 7 = 140
140 *7 = 980
980 + 490 = 147.0
The total amount that Diego could have spent on lunch over the past seven weeks could be between $77 and $119.
Explanation:To determine the total amount Diego could have spent on lunch over the past seven weeks, you should find the minimum and maximum amounts he could have spent. The minimum amount would be if he spent $11 each week, and the maximum if he spent $17 each week.
To find these amounts, you multiply the number of weeks by the respective cost. So, for the minimum, you multiply 7 weeks by $11, which gives a total of $77. Then, for the maximum, you multiply 7 weeks by $17, which gives a total of $119.
Therefore, the total amount that he spent on lunch for the past 7 weeks could be any amount between $77 and $119.
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The diameter of a sphere is 10 cm. What is the spheres volume? Round to the nearest tenth.
4/3πr^3 is the equation to solve for volume.
Since the radius is 5 cm (10/2), we know the equation is 4/3π125
166 2/3π cm^3
or
523 1/3 cm^3
Final answer:
The volume of a sphere with a 10 cm diameter is approximately 523.6 cubic centimeters when rounded to the nearest tenth.
Explanation:
The student is asking for the volume of a sphere with a given diameter of 10 cm. To calculate the volume, you use the formula for the volume of a sphere, which is V = (4/3)πr³.
First, we need to find the radius of the sphere, which is half of the diameter, so the radius (r) is 5 cm. Plugging this into the formula gives us V = (4/3)π(5 cm)³. Now we calculate the volume: V = (4/3)π(125 cm³) ≈ 523.6 cm³ when rounded to the nearest tenth. So, the volume of the sphere is approximately 523.6 cubic centimeters.
PLEASE HELP!! WILL MARK BRAINLEST!!!! 2/n=2/3
2/n=2/3 ok to start you cross multiply so you would end up with 2*3=2n then you simplify and you get 6=2n now you divide both sides by 2 and end up with 3 so you answer is C. n=3
Answer:
The correct answer option is C. n = 3.
Step-by-step explanation:
We are given the following expression and we are to solve for [tex] n [/tex]:
[tex] \frac { 2 } { n } = \frac { 2 } { 3 } [/tex]
To solve this, we will use the method called cross multiplication where the numerator of left side is multiplied with the denominator of right side and vice versa.
[tex]3 \times 2 = 2 \times n[/tex]
[tex]2n = 6[/tex]
[tex]n=\frac{6}{2}[/tex]
[tex]n=3[/tex]
Therefore, the correct answer option is C. n = 3.
What’s is the next number?
2,3,5,7,11,13,17
Answer:
19
Step-by-step explanation:
It is all prime numbers. The next prime number after 17 is 19.
Six times the sum of a number and twelve is forty.
Which equation represents this?
O 6N + 12N = 40
O 6N + 12 = 40
6(N + 12) = 40
Answer:
6(N + 12) = 40
Step-by-step explanation:
Number = N
Sum of a number and twelve:
N + 12
Six times the sum of a number and twelve:
6(N + 12)
Six times the sum of a number and twelve is forty:
6(N + 12) = 40
Answer:
6(N+12) = 40
Step-by-step explanation:
The statement says six times the sum . . .
From this we can tell that the answer will be 6 times two numbers added together. Those two numbers are "a number" (some variable) and 12.
We can tell that the variable is N, so it answer must be 6(N + 12) = 40
9 is what percent of 50
All you have to do is divide 9/50, which equals 0.18 Move the decimal 2 units to the right to get 18% as your answer
Hope this helps you!
The 9 is 18% percent of 50.
Given that,
There are 2 numbers i.e. 9 and 50.We need to find out the percentage.Based on the above information, the calculation is as follows:
[tex]= 18\div 100\\\\= 9\div 50[/tex]
So here we can conclude that The 9 is 18% percent of 50.
Learn more: brainly.com/question/6201432
In triangle ABC, m A = 25°, m B = 55°, and a = 10.73. Use the law of sines to find b. Round your answer to the nearest tenth.
Answer:
Option A. [tex]b=20.8\ units[/tex]
Step-by-step explanation:
we know that
Applying the law of sines
[tex]\frac{a}{sin(A)}=\frac{b}{sin(B)}[/tex]
substitute the values and solve for b
[tex]\frac{10.73}{sin(25\°)}=\frac{b}{sin(55\°)}\\ \\ b=10.73*sin(55\°)/sin(25\°)\\ \\b=20.8\ units[/tex]
Answer:
20.8 option A
Step-by-step explanation:
sine law for triangle states that
sin A / a = sin B / b = sin C / c ( equation for sine law )
where m A = 25°
m B = 55°
a = 10.73
b = unknown
from the equation for sine law
sin m A / a = sin m B / b
sin 25° / 10.73 = sin 55° / b
0.4226 / 10.73 = 0.8191 / b
0.0394 = 0.8191 / b equation 2
cross multiply equation 2 becomes
0.0394 b = 0.8191
therefore b = 0.8191 / 0.0394 = 20.789 to the nearest tenth will be 20.8
The question is in the picture
Answer:
45 degrees
Step-by-step explanation:
Inscribed angles are always half of the value of the central angle, therefore half of 90 degrees would be 45 degrees.
Help me with this problem
Answer:
XY = 74
Step-by-step explanation:
Using the information given, plug it into the perimeter formula [P=2(l)+2(w)]
90 = 2 (5y - 1) + 2 (4y + 1)
Distribute
90 = 10y - 2 + 8y + 2
Combine like-terms
90 = 18y
Isolate the variable
y = 15
Then, plug it into XY
5 (15) - 1
Multiply
75 - 1
Combine
74
Answer:
XY = 24
Step-by-step explanation:
The perimeter of the rectangle is
2(5y - 1) + 2(4y + 1) = 90 ← distribute parenthesis on left side
10y - 2 + 8y + 2 = 90
18y = 90 ( divide both sides by 18 )
y = 5
XY = 5y - 1 = (5 × 5) - 1 = 25 - 1 = 24
If each cube has edges 2 centimeters long, what is the volume of the blue-outlined prism?
A) 20 cm3
B) 40 cm3
C) 160 cm3
D) 320 cm3
Answer:
C) 160 cm3
Step-by-step explanation:
Since each cube represents 2 centimeters you need to multiply by 2 three times, since there are three dimensions. The volume of the figure is 160 cm3
Answer:
C (160)
Step-by-step explanation:
hope it helps brainliest pls
On May 9, 2014 Jason made a deposit of $650.00. What is his balance after this transaction?
A) $540.28
B) $832.45
C) $1190.28
D) $1548.11
C is the correct answer
How much paper will it take to make each tree including the bottom??
The bottom is a square with a side length of 2 ft.
The area of a square is Area = S^2 = 2^2 = 4 square ft. Bottom)
The area of one side ( triangle) = 1/2 x base x height = 1/2 x 2 x 4 = 4 square ft.
There are 4 triangles: 4 x 4 sq. ft. = 16 sq.ft. ( four sides)
Total area = four sides + bottom = 16 + 4 = 20 feet^2
Part A
given that P=(5,4), Q=(7,3), R=(8,6), and S=(4,1), find the component form of the vector PQ+4RS.
a.(18,19)
b.(-2,-6)
c.(-14,-21)
d.(-18,-19)
Part B
Use the information from part A to find the magnitude of the vector PQ+4RS.
a. 2sqrt10
b. 7sqrt13
c. sqrt35
d. 637
Answer:
[tex]^{\to}_{PQ}+4^{\to}_{RS}=<\:-14,-21\:>\:[/tex]
[tex]|^{\to}_{PQ}+4^{\to}_{RS}|=7\sqrt{13}[/tex]
Step-by-step explanation:
The given points have coordinates; P=(5,4), Q=(7,3), R=(8,6), and S=(4,1).
[tex]^{\to}_{PQ}=^{\to}_{OQ}-^{\to}_{OP}[/tex]
[tex]^{\to}_{PQ}=<\:7,3\:>\:-\:<\:5,4\:>[/tex]
[tex]^{\to}_{PQ}=<\:7-5,3-4\:>\:[/tex]
[tex]^{\to}_{PQ}=<\:2,-1\:>\:[/tex]
[tex]^{\to}_{RS}=^{\to}_{OS}-^{\to}_{OR}[/tex]
[tex]^{\to}_{RS}=<\:4,1\:>\:-\:<\:8,6\:>[/tex]
[tex]^{\to}_{RS}=<\:4-8,1-6\:>\:[/tex]
[tex]^{\to}_{RS}=<\:-4,-5\:>\:[/tex]
[tex]^{\to}_{PQ}+4^{\to}_{RS}=<\:2,-1\:>\:+4\:<\:-4,-5\:>\:[/tex]
[tex]^{\to}_{PQ}+4^{\to}_{RS}=<\:2,-1\:>\:+\:<\:-16,-20\:>\:[/tex]
[tex]^{\to}_{PQ}+4^{\to}_{RS}=<\:2-16,-1-20\:>\:[/tex]
[tex]^{\to}_{PQ}+4^{\to}_{RS}=<\:-14,-21\:>\:[/tex]
The correct answer is C
The magnitude is given by:
[tex]|^{\to}_{PQ}+4^{\to}_{RS}|=\sqrt{x^2+y^2}[/tex]
[tex]|^{\to}_{PQ}+4^{\to}_{RS}|=\sqrt{(-14)^2+(-21)^2}[/tex]
[tex]|^{\to}_{PQ}+4^{\to}_{RS}|=\sqrt{196+441}[/tex]
[tex]|^{\to}_{PQ}+4^{\to}_{RS}|=\sqrt{637}[/tex]
[tex]|^{\to}_{PQ}+4^{\to}_{RS}|=7\sqrt{13}[/tex]
The correct answer is B
please help me this is kinda hard
All sides of a square/cube are the same. Since this is a cube, you'll find the volume by "cubing" (get it?) 4.4m.
4.4³ or 4.4 * 4.4 * 4.4 = 85.184m³ but you can round that to 85m³
I hope that helps!
the width of a rectangular flower bed is 7ft less than the length. The area is 18ftsq. Find the length and the width
Answer:
width = 2ft and length = 9ft
Step-by-step explanation:
width W = x
length L = x +7
area of a rectangle A = L * W
18 = (x + 7) * x
18 = x² + 7x
x² + 7x -18 =0
solve the equation by factorisation
x² -2x + 9x - 18 =0
x(x - 2) + 9(x - 2) =0
(x - 2)(x + 9) = 0
x = 2 and -9
therefore the width is 2ft because it is positive and the negative value is ignored
the length = 2 + 7 = 9ft
Answer:
width = 2ft and length = 9ft
Step-by-step explanation:
5÷7=35÷(y+1)
Added some points :)
Answer:
y=48
Step-by-step explanation:
5/7=35/y+1
Step 1: Cross-multiply.
5 /7=35/y+1
5*(y+1)=(35)*(7)
5y+5=245
Step 2: Subtract 5 from both sides.
5y+5−5=245−5
5y=240
Step 3: Divide both sides by 5.
5y /5=240/5
y=48
HOPE THIS HELPS!!
write an equation that is the slope-intercept form of the equation of the line that passes through (1,2) and is parallel to 4x-2y=6
Answer:
y=2x
Step-by-step explanation:
If the line is parallel to 4x-2y=6, it means that it has the same slope. So let's first find the slope.
Rearranging, we get
-2y=-4x+6
2y=4x-6
y=2x-3.
So, the slope is 2.
Next, we can use the point slope formula
y-y_1=m(x-x_1)
Substituting, we get
y-2=2(x-1)
y-2=2x-2
y=2x
How to convert 186 into radians?
Answer:
see explanation
Step-by-step explanation:
To convert from degree to radian measure
radian measure = degree measure × [tex]\frac{\pi }{180}[/tex], thus
radian measure = 186 × [tex]\frac{\pi }{180}[/tex] = [tex]\frac{31\pi }{30}[/tex]
Which unit would you use to measure the height of a bird? mm cm m km
I would use the centimeter to measure the height of a bird.
I’m assuming centimeters because km is like miles and mm is for something else not for height
Which statement describes the graph of g(x) with respect to the graph f(x)?
a. let f(x)=(x+3)^2+2
let g(x)=(x+3)^2-3
* it is translated right 5 units
* stretched horizontally by a
factor of -3
* compressed vertically by a
factor of -3
* it is translated down 5 units
b. let f(x)=x^2 +5
let g(x)=(x+1)^2+5
* it is translated right 1 unit
* it is translated left 1 unit
*it is translated up 1 unit
* compressed vertically by a
factor of 5
c. Let f(x)=(x+6)^2
let g(x)=2(x+6)^2
* it is compressed horizontally by a factor of 2
* it is translated up 2 units
* it is translated right 2 units
* it is stretched vertically by a factor of 2
show work and answer please
Answer:
a. Translated down 5 units.
b. Translated 1 to the left.
c. Stretched vertically by a factor 2.
Step-by-step explanation:
a. It is translated down by 2 - (-3) = 5 units.
b. The x in f(x) is replaced by (x + 1) to gives g(x).
It is translated left by 1 unit.
c. The 2 stretches it vertically by a factor of 2.
Using translation concepts, it is found that the correct options are given by:
a) it is translated down 5 units.
b) it is translated left 1 unit.
c) it is stretched vertically by a factor of 2.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem:
In item a, 5 was subtracted from the function, hence it was shifted down 5 units.In item b, we have that x -> x + 1, hence it was shifted left 1 unit.In item c, the function was multiplied by 2, hence it was vertically stretched 2 units.More can be learned about translation concepts at https://brainly.com/question/4521517
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How many x-intercepts does the graph of the given equation have use the discriminant y=-4x^2+4x-1
[tex]\bf \qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-4}x^2\stackrel{\stackrel{b}{\downarrow }}{+4}x\stackrel{\stackrel{c}{\downarrow }}{-1} ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} \boxed{0}&\textit{one solution}~~\checkmark\\ positive&\textit{two solutions}\\ negative&\textit{no solution} \end{cases} \\\\\\ 4^2-4(-4)(-1)\implies 16-16\implies \boxed{0}[/tex]
find the solution to the equation by completing the square x^2-6x=7. what is the smallest and largest value of x
Answer:
smallest value of x = -1
Largest value of x = 7
Step-by-step explanation:
[tex]x^2-6x=7[/tex]
coefficient of x = -6
Half of the coefficient of x = -6/2 = -3
Square of the half value [tex]=(-3)^2=9[/tex]
Add the square value on both sides of equation
[tex]x^2-6x+9=7+9[/tex]
[tex](x-3)^2=16[/tex]
Take square root
[tex]x-3= \pm \sqrt{16}[/tex]
[tex]x-3= \pm 4[/tex]
[tex]x-3=+4[/tex] or [tex]x-3=-4[/tex]
[tex]x=+4+3[/tex] or [tex]x=-4+3[/tex]
[tex]x=7[/tex] or [tex]x=-1[/tex]
Hence smallest value of x = -1
Largest value of x = 7
the clock in our classroom has a radius of 9 inches. if its 4:00, find the arc length and area of the sector for this time.
Answer:
6pi; 27pi
Step-by-step explanation:
Since 4:00 is 120 degrees on a clock, then it is 120/360 or 1/3 of the clock. Now let’s find the arch length! Since the radius of the clock is 9, then the circumference will be 18pi. Since 1/3 of the clock is 4:00, then the arc length is 1/3 of the circumference. SO the arc length is 6pi.
Now let’s find the area of the sector. Since the radius is 9, then the area is 81pi. So 1/3 of that is 27pi.
What is the sum of the geometric series?
Answer:
40
Step-by-step explanation:
The given geometric series is:
[tex]\sum_{n=1}^4(-2)(-3)^{n-1}[/tex].
When n=1, [tex]a_1=(-2)(-3)^{1-1}[/tex], [tex]\implies a_1=(-2)(-3)^{0}=-2[/tex]
When n=2, [tex]a_2=(-2)(-3)^{2-1}[/tex], [tex]\implies a_2=(-2)(-3)^{1}=6[/tex]
When n=3, [tex]a_3=(-2)(-3)^{3-1}[/tex], [tex]\implies a_3=(-2)(-3)^{2}=-18[/tex]
When n=4, [tex]a_4=(-2)(-3)^{4-1}[/tex], [tex]\implies a_4=(-2)(-3)^{3}=54[/tex]
The sum of the given series is:
-2+6-18+54=40
Which graph represents the function f(x) = |x|? Image for option 1 Image for option 2 Image for option 3 Image for option 4
Answer:
The correct option is 4.
Step-by-step explanation:
The given function is,
It is a modulus function and its parent function is,
In a function,
If k>1, then the graph of g(x) stretch vertically and if k<1 then the graph of g(x) compressed vertically.
Since k is , therefore the shoes the vertical compression.
put x=0 in the given function.
Put x=3.
Therefore the graph passing through (0,0) and (3,1).
So the fourth option is correct.
Hope this helps :)
The graph represents the function f(x) = |x| correct option is fourth image 4.
The given function is,
It is a modulus function and its parent function is,
In a function,
If k>1, then the graph of g(x) stretches vertically, and if k<1 then the graph of g(x) is compressed vertically.
Since k is, therefore the shoes the vertical compression.
What is vertical compression?Vertical compression means making the y-value smaller for any given value of x, and you can do it by multiplying the entire function by something less than 1. Horizontal stretching means making the x-value bigger for any given value of y, and you can do it by multiplying x by a fraction before any other operations.
put x=0 in the given function.
Put x=3.
Therefore the graph passes through (0,0) and (3,1).
So the fourth option is correct.
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A salesman makes 4% commission on sales. What is his commission on $8,472 worth of sales?
Answer:
The answer is $12,000 I think check to be sure...Sorry in advance I'm not the best at math guys...
Step-by-step explanation:
4% of 8472 = 338.88
The salesman will have made $338.88, which is 4% of $8,472.
Tiffani works in a baby shop in which she prints personalized bibs. She uses a probability model to predict that the next customer ordering a white bib would be 30%. For one day, Tiffani gathers data by tallying the the number of customers who order each color in this table.
Color Tally
white 21
grey 9
blue 15
pink 26
Based on her experiment, which statement is true?
Tiffani's prediction is valid. The probability of the next customer ordering a white bib is about 30%.
Tiffani's prediction is not valid. The probability of the next customer ordering a white bib should be about 21% because 21 people ordered white in her data.
Tiffani's prediction is not valid. The next customer ordering a white bib would be the same as any color, so the probability should be about 25%.
There is not enough information to determine the validity of her prediction.
Answer:
Tiffani's prediction is valid. The probability of the next customer ordering a white bib is about 30%.
Step-by-step explanation:
First you add all of your amounts together
21 + 9 + 15 + 26 = 71
Then to find the probability of the next customer buying a white bib you divide 21 by 71
21/71 = 0.295
Which is approximately 30%
I hope this helped!
What is the solution to the equation 3x+9-7x=2(x+6)
The answer is x equals 1/2.
Answer:
X = - 1/2
Step-by-step explanation:
3x+9-7x=2(x+6)
9-4x=2x+12
6x=-3
x=-1/2
Let f(x) = -2x - 7 and g(x) = -4x + 3. Find (fog)(-5)
ANSWER
[tex]( f \circ \: g)( - 5)= -53[/tex]
EXPLANATION
The given functions are:
f(x) = -2x - 7 and g(x) = -4x + 3
[tex]( f \circ \: g)(x) = f(g(x))[/tex]
[tex]( f \circ \: g)(x) = f( - 4x + 3)[/tex]
[tex]( f \circ \: g)(x) = - 2( - 4x + 3) - 7[/tex]
Expand:
[tex]( f \circ \: g)(x) = 8x - 6 - 7[/tex]
[tex]( f \circ \: g)(x) = 8x - 13[/tex]
We substitute x=-5
[tex]( f \circ \: g)( - 5) = 8( - 5) - 13 = -53[/tex]
A pentagon has the following measurements what is interior angles: (x-8), (3x-11), (x+8), (x), and (2x+7). Which of the following could be measurements for interior angles of a pentagon.
Answer:
60°
68°
76°
193°
Step-by-step explanation:
step 1
Calculate the sum of the interior angles in a pentagon
The formula to calculate the sum of the interior angles is equal to
S=(n-2)180°
where
n is the number of sides
In this problem
n=5 sides
substitute
S=(5-2)180°=540°
step 2
Find the value of x
(x-8)+(3x-11)+(x+8)+(x+(2x+7)=540°
(8x-4)=540°
8x=540°+4°
x=544°/8=68°
step 3
Find the measures of the internal angles of the pentagon
(68-8)°=60°
(3*68-11)=193°
(68+8)=76°
68°
(2*68+7)=143°
was the answer they put right?
Which two transformations are applied to pentagon ABCDE to create A’B’C’D’E’?
The pentagon was reflected across the x-axis. By looking at Point A, you can see x was increased 8, x+8. Also, y was increased by 2, y+2.
Answer:
The correct option is c.
Step-by-step explanation:
From the given figure it is clear that the vertices of preimage are A(-5,-2), B(-7,-3), C(-6,-6), D(-3,-5) and E(-3,-3).
The vertices of image are A'(3,6), B'(5,5), C'(4,2), D'(1,3) and E'(1,5).
If figure translated 2 units right and 8 units up then
[tex](x,y)\rightarrow (x+2,y+8)[/tex]
The vertices of pentagon after translation.
[tex]A(-5,-2)\rightarrow A_1(-3,6)[/tex]
[tex]B(-7,-3)\rightarrow B_1(-5,5)[/tex]
[tex]C(-6,-6)\rightarrow C_1(-4,2)[/tex]
[tex]D(-3,-5)\rightarrow D_1(-1,3)[/tex]
[tex]E(-3,-3)\rightarrow E_1(-1,5)[/tex]
If the figure reflected across y-axis, then
[tex](x,y)\rightarrow (-x,y)[/tex]
The vertices of pentagon after translation by rule [tex](x,y)\rightarrow (x+2,y+8)[/tex] followed by reflection across y-axis are
[tex]A_1(-3,6)\rightarrow A'(3,6)[/tex]
[tex]B_1(-5,5)\rightarrow B'(5,5)[/tex]
[tex]C_1(-4,2)\rightarrow C'(4,2)[/tex]
[tex]D_1(-1,3)\rightarrow D'(1,3)[/tex]
[tex]E_1(-1,5)\rightarrow E'(1,5)[/tex]
The pentagon ABCDE translated according to the rule [tex](x,y)\rightarrow (x+2,y+8)[/tex] and reflected across the y-axis to create A'B'C'D'E'.
Therefore, the correct option is c.