40.96 mm
3.2(10) = 32; 3.2 cm → 32 mm
each side of scale drawing is 32 mm
2(10) = 20; 2 cm → 20 mm
scale is 4 mm to 20 mm
[tex]\frac{4}{20}= \frac{x}{32}[/tex]
cross-multiply:
32(4) = 128
128 / 20 = 6.4
each side of the actual drawing is 6.4 mm.
6.4 * 6.4 = 40.96
40.96 mm
40.96 mm
What is scaling ?
It is the technique to resize drawing with comparing to actual size of object which uses proportion or ratio. For example, Mapping of earth, drawing prototype of automobiles.
It is given that the scaling of drawing is 4mm to 2cm of actual drawing and the scaled drawing side of square earring is 3.2cm.
Now, corelating the scale given which means for 1mm of actual side of earring the drawing scale is 0.5 cm or 5mm. Therefore, for having 3.2 cm of side of earring in drawing let [tex]x[/tex] be the actual side this is calculated below :
[tex]\begin{aligned}20 \text{mm}&\rightarrow 4\text{mm}\\32\text{mm}&\rightarrow x\text{\:mm}\\\frac{4}{20}&=\frac{x}{32}\\x&=6.4 \text{mm}\end{aligned}[/tex]
Now, the actual side of earring is 6.4 mm therefore, the area of the front of earring will be : 6.4 mm x 6.4 mm =40.96 mm
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Find the volume of the prism.
6 cm
5 cm
7 cm
5 cm
6 cm
Answer: Possibly, 105 cm³ if it is a triangular prism, or
Possibly 210 cm³ if it is a rectangular prism
Step-by-step explanation: Without knowing exactly what kind of prism it is, it is impossible to give an exact answer.
If the bases are triangles with altitude and and base of 5 and 6, anf the height of the prism is 7, the volume is
(6×5)/2 × 7
30/2 ×7
15 × 7 = 105 cm³ for a triangular prism
If the bases are rectangles with length and and width of 6 and 5, and the height of the prism is 7, the volume is
6×5×7 = 210 cm³ for a rectangular prism
Jose and Maris work for different car dealerships. Jose earns a monthly salary of $3,500 plus a 6% commision on his sales, x. Maris earns a monthly salary of $4,000 plus a 4% commission on her sales, x. For what value of sales, x, will Jose's earnings be greater than Maris' earnings?
Answer:
x>$25000
Step-by-step explanation:
PLEASE HELP WORTH 40 POINTS! ANSWER QUICK PLEASEEE
(a) Does each triangle have the same change in x-values? Explain.
(b) Does each triangle have the same change in y-values? Explain.
(c) Does each triangle have the same ratio of change in y-values over change in x-values? Explain
Answer:
SPLEASE HELP WORTH 40 POINTS! ANSWER QUICK PLEASEEE
(a) Does each triangle have the same change in x-values? Explain.
(b) Does each triangle have the same change in y-values? Explain.
(c) Does each triangle have the same ratio of change in y-values over change in x-values? Explain
tep-by-step explanation:
2. Describe the process used to solve an equation with variables on both sides.
Answer:
After simplifying, the first step in solving an equation with a variable on both sides is to Get The Variable On One Side. This is done by reversing the addition or subtraction of one of the terms with the variable. In other words, we must add to both sides or subtract from both sides one of the quantities that contains the variable. It is generally easier to add or to subtract the smaller quantity from the larger quantity, so we are working with positive coefficients, but either way works
A number is doubled and then increased by nine. The result is ninety- Three. What is the original number?
Answer:
42
Step-by-step explanation:
First you subtract 93 by 9. You get 84. Then you divide it by 2. Which is your answer, 42.
This can be represented as:
93=2x+9
First subtract 9 from both sides
84=2x
Then divide by 2 on both sides
42=x
HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!HEEEEEEELLLLLLPPPPPPPP!!!
THIS IS DUUEEEE TTTOOOODDDAAAYYYYY.
Question 1:
-|7-2x|+11= -8
Question 2:
9-7|-x-3|= -61
Question 3:
13|-2x+1|-10=159
Answer:
-|7-2x|+11= -8
x=-6 0r x=13
9-7|-x-3|= -61
x=-13 or x=7
13|-2x+1|-10=159
x=-6 or x=7
Step-by-step explanation:
-|7-2x|+11= -8
-|7-2x|=-8-11
either :
7-2x=-19
-2x=-19-7
x=-26/2
x=13
Or: 7-2x=19
-2x=19-7
-2x=12
x=-12/2
x= - 6
9-7|-x-3|= -619−7(|−x−3|)=−61
−7(|−x−3|)=−61-9
−7(|−x−3|)=−70
|-x-3|=-70/-7
|-x-3|=10
either :
-x-3=10 or -x-3=-10
-x=13 -x=-7
x=-13 x=7
13|-2x+1|-10=15913|-2x+1|=159+10
13|-2x+1|=169
|-2x+1|=169/13
|-2x+1|=13
either or
-2x+1=-13 -2x+1=13
-2x=-14 -2x=12
x=-14/-2 x=12/-2
x=7 x=-6
Solve for X. 8(x + 2) = 40 Simply your answer as much as possible. = x 6
Answer:
x = 3
Step-by-step explanation:
8(x+2) = 40
8x + 16 = 40
8x = 24
x = 3
When do you use the divergence test, comparison test, p test, geometric, integral, comparison, limit comparison, and alternating series?
Step-by-step explanation:
Divergence Test: use this when the limit as n approaches infinity of a sequence isn't 0.
If lim(n→∞) an ≠ 0, then an diverges.
(Note this only tests divergence, not convergence.)
P Test: use this when the series is a p-series.
For an = 1 / nᵖ, if p > 1, then the series converges. Otherwise, it diverges.
Geometric Test: use this when the series is a geometric series.
For an = a₁ (r)ⁿ, if -1 < r < 1, then the series converges. Otherwise, it diverges.
Integral Test: use this when the sequence can be easily integrated.
If ∫₁°° f(x) dx converges, then ∑₁°° f(n) converges.
If ∫₁°° f(x) dx diverges, then ∑₁°° f(n) diverges.
Comparison Test: use this when a sequence is similar to a p-series or a geometric series.
If bn > an and bn converges, then an converges.
If bn < an and bn diverges, then an diverges.
Otherwise, inconclusive.
Limit Comparison Test: use this when comparison test is inconclusive.
If an ≥ 0 and bn > 0, and lim(n→∞) an/bn > 0 and finite, then an and bn either both converge or both diverge.
Alternating Series Test: use this when the series is alternating. This usually includes (-1)ⁿ or (-1)ⁿ⁺¹, but might use trig functions instead.
If an = (-1)ⁿ bn or (-1)ⁿ⁺¹ bn, where bn ≥ 0, and if lim(n→∞) bn = 0, and bn is decreasing, then an converges.
(Notice this only tests for convergence, not divergence.)
In this set of chips, each plain chip has a
value of -1, and each striped chip has a value of 1. What is the value of the set?
Answer:
-1x + y
Where x = number of plain chips and y = number of striped chips.
Step-by-step explanation:
NOTE: if an image was giving with this question please attach the image to get a more simplified answer.
Find 3 ratios that are equivalent to the given ratio. 6/9
Answer:
2:3
12:18
18:27
Step-by-step explanation:
Answer:
In order to get equivalent ratios, we can just multiply by a factor! Lets use the factors of 2, 3, 4.
So we have:
[tex]2 * \frac{6}{9}=\frac{2*6}{2*9}=\frac{12}{18}[/tex]
As well as:
[tex]3 * \frac{6}{9}=\frac{3*6}{3*9}=\frac{18}{27}[/tex]
And finally:
[tex]4 * \frac{6}{9}=\frac{4*6}{4*9}=\frac{24}{36}[/tex]
y=3ab+2b to the 3rd power
Answer:
27a^3b^3 + 8b^3
Step-by-step explanation:
because
A water tower holds 26400 gallons of water. The water company can fill the tower at a rate of 20 gallons per minute,
How many hours would it take the water company to all the tower if it is completely empty?
o 22 hours
24 hours
220 hours
0 440 hours
Answer:
22 Hours
Step-by-step explanation:
26400/20 = 1320m
1320m = 22h
22 Hours
Sandra spent $32 for a purse and buys aCD for $15. Write an expression to represent this problem
Answer:
x - ($32 + $15); or x - $32 + $15
Step-by-step explanation:
Spending on the purse and a CD means less cash then the starting amount, x.
Answer:
$32+ $15=$47
Step-by-step explanation:
will the quotient of 5 divided by 7/8 be greater than or less than 5? explain
Answer:
7/8 x 5/1 = 35. 35/8= 4.375 is less than 5
Step-by-step explanation:
Answer:
Greater
Step-by-step explanation:
If you divide 5 by 7/8, you will get 40/7. Convert to a decimal to compare, and you will see that 5<5.7
Estimate the number of fish eaten by the dolphins.
note
The dolphins were fed
150 fish at 9:00 A.M. and
471 more fish at 5:00 P.M.
Estimate the total number
of fish the dolphins ate.
I fish
HElP!! Plzz thanks you
Answer:
a) 20
b) ab
Step-by-step explanation:
[tex]a.\\\\\frac{9}{5}=\frac{36}{x}\\\\x\cdot 9=36\cdot 5\\\\x=\frac{36\cdot5}{9}\\\\x=4\cdot 5\\\\x=20[/tex]
[tex]b.\\\\\frac{a}{6b}=\frac{y}{6b^2}\\\\\frac{6b^2\cdot a}{6b}=y\\\\y=b\cdot a\\\\y=ab[/tex]
what the biggest 7/2 or 3 1/4?
Answer:
7/2
Step-by-step explanation:
Using compatible numbers to estimate, which expression has a quotient of about 70?
O A. 3, 424 : 49
OB. 5,358 - 89
O C. 6,409 - 79
O D. 5,238 : 89
Answer:
A is the correct answer
Step-by-step explanation:
Hoped this helped :)
Answer: im positive its A me and my class did this at school
Step-by-step explanation:
Martin used a coordinate plane to design the garden shown. Each unit on the grid represents 10 yards.
How many yards of rope does Martin need to rope off the perimeter of the garden?
Enter your answer in the box.
The number of yards Martin needs to rope off the perimeter of the garden is: 320 yards.
What is the Perimeter of a Figure?Perimeter of any figure is the total length of the surrounding of the figure or shape.
Given:
A unit on the grid = 10 yards
From the diagram given, the figure is surrounded by 32 units
Thus:
Perimeter of the garden = 32 units × 10 = 320 yards.
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©C a r n e g ie L e a r n in g 6.1 Picture Algebra • 3093. The members of a small town’s local arts council are selling raffle tickets. The art council decides that the top three raffle ticket sellers will share a portion of the profits. The second-place seller will receive twice as much as the third-place seller. The first-place seller will receive $20 more than second-place seller. How much will each of the top three sellers receive if the profit portion they will share is $200?
Answer:
1st - $92
2nd - $72
3ed - $36
Step-by-step explanation:
save 20 dollars for first place, because they are going to get that no matter what.
200 - 20 = 180
we'll need to divide 180 into 5 parts, one for 3ed place, two each for 1st and second.
180 / 5 = 36
3ed place gets $36
2nd gets twice that, $72
1st gets the same as 2nd +$20, so $92
to check our answer, add up all their profit and make sure it's 200 even.
In a survey of 600 students 80 percent said they liked pop music.How many students liked pop music
Answer:
600 × .8 = 480
480 Students
20 + 3 (7 + 4) + 5 + 2 (7 + 9)
Answer:
90
Step-by-step explanation:
i did the math hope this helps you out
(Will Mark Brainliest!!!)Choose the point-slope form of the equation below that represents the line that passes through the points (−3, 2) and (2, 1)
A: y + 3 = −5(x − 2)
B: y − 2 = −5(x + 3)
C: y + 3 = −(x − 2)
D: y − 2 = −(x + 3)
Answer:
b
Step-by-step explanation:
the point-slope form of the equation is equal to
Bao can eat 12 chicken wings in 3 minutes. She eats the chicken wings at a constant rate.
How many chicken wings can Bao eat in 12 minutes?
chicken wings
Stuck?
Answer:
48
Step-by-step explanation:
If Bao eats 12 chicken wings in 3 minutes than that will help us find the unit rate by dividing 12 by 3, and then you will get 4. Now that you know the unit rate you will multiply it by 12 and get 48.
Answer:
For this we have to do simple division and multiplication, giving us the answer of 48.
Step-by-step explanation:
The easiest way to solve this is to first divide 12 by 3, giving us 4, the amount of time it would take for Bao to eat a single chicken nugget. And then since the question asks how many Bao can eat in 12 minutes, you would multiply 4 by 12, thus giving you the answer of 48.
please help me ASAP :)
c.) 1/2³ i got it right on assignment
<1 and <2 form a linear pair. The measure of <2 is six more than twice the measure of <1. Find the measure of <2
Answer:
122 Degrees
Step-by-step explanation:
Since we are given that angle 1 and 2 make a linear pair:
angle 1 + angle 2 = 180 degrees ----------------------------(1)
We have also been told that angle 2 is 6 more than twice the measure of angle 1
Which means: angle 2 = (2*angle1) + 6 -------------------(2)
From putting the value of angle 2 in (1) from (2)
angle 1 + 2*angle 1 + 6 = 180
3*angle 1 = 174
angle 1 = 58 degrees -----------------------(3)
From (1) and (3):
angle 2 + 58 = 180
angle 2 = 122 degrees
Therefore, the measure of angle 2 is 122 degrees
PLEASE ANWSER RIGHT AND U WILL GET BRAINLIEST the fraction 5/4 is an example of an improper fraction a proper fraction or a mixed number
Answer:
It is a proper fraction
Step-by-step explanation:
Mr. Anderson has 4/5 of a pizza left over and split it among his 4 children. What fraction of the pizza did each child get? * 11 points 1/5 2/3 16/5 16/20
Answer:
The answer is 1/5
Step-by-step explanation: Turn 4 in to a fraction (4/1) and take 4/5 then flip the the 4/1 fraction (1/4) and multiply it by 4/5. 4/5*1/4=4/20 simplify it 1/5. Hope this helped!
When estimating you should use what numbers
Odd
Even
Large
Round
Answer:
Round
Step-by-step explanation:
PLEASE HELP DUE TODAY WILL MARK BRAINLIEST
Write the equation of line in slope-intercept form.
Line parallel to y=−2x+3 that passes through the point (−100,−100)
Answer: y= -2x - 500
Step-by-step explanation:
Parallel lines have the same slopes but different y-intercepts. This means that the line parallel to y=-2x + 3 will have the same slope which is -2.
We will input the x and y coordinates for the given point into the formula and solve for the y-intercept to write the equation.
-100 = -2(-100) + b where b is the y-intercept
-100 = 400 + b
-400 -400
b = -500
The y intercept is -500 and the slope is -2 therefore, the equation will be
y= -2x - 500