Write the scale of the drawing as a fraction. Put the shorter length in the numerator.
[tex] \frac{7 \: cm}{1 \: cm} \\ [/tex]
First convert the denominator to the same units as the numerator. Write an equivalent fraction with centimeters in the denominator. Since 1 meter is equal to 100 centimeters, multiply the denominator by 100 to get centimeters in the denominator.
[tex] \frac{7 \: cm}{100 \: cm} = \: \frac{7}{100} \\ [/tex]
Write the scale factor as a ratio, using a colon
7/100 → 7:100
The scale factor is 7:100.
[tex] \\ [/tex]
#CarryOnLearning!
The cost of 10 donuts and 2 cakes is the same. If the cost of 3 cakes and 5 donuts is $8, find the cost of a cake.
Answer:
$2
Step-by-step explanation:
Let the cost of a donut and a cake be $d and $c respectively.
10d= 2c
Dividing both sides by 2:
5d= c -----(1)
3c +5d= 8 -----(2)
Substitute (1) into (2):
3c +c= 8
Simplify:
4c= 8
Divide both sides by 4:
c= 8 ÷4
c= 2
∴ The cost of a cake is $2.
Need help with this....
Answer:
m ∠S = 43°
Step-by-step explanation:
Exterior angle = Sum of opposite interior angles
(6x)° = 77° + (2x + 3)°
6x = 77 + 2x + 3
6x - 2x = 77 + 3
4x = 80
x = 20
m ∠S = (2x + 3)° = 2(20) + 3 = 40 + 3 = 43°
Answer:
∠ S = 43°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ PQR is an exterior angle of the triangle, then
6x = 77 + 2x + 3 ( subtract 2x from both sides )
4x = 80 ( divide both sides by 4 )
x = 20
Then
∠ S = 2x + 3 = 2(20) + 3 = 40 + 3 = 43°
3 · 32 + 8 ÷ 2 − (4 + 3)
A.
30
B.
23
C.
24
D.
32
Answer:
3.32+8÷2-(4+3)
=3.32+8÷2-7
=3.32+4-7
=7.32-7
=0.32
this is the correct answer but unfortunately it's not in the options, maybe you need to check the options again :)
Y-intercept = 5
Slope = 3
Answer:
the equation as intercept form is
y = 3x + 5
A pile of newspapers in Ms.
Clark's room was 7inches
high. If the pile increased in
height by 4 inches each
week. What is the height of
the pile after 4 weeks?
Answer:
4*4=16+7=23
Step-by-step explanation:
4 inches x 4 weeks is 16 inches
7 + 16 = 23
Tiny's Tattoo Parlor sold 389 tattoos this month. 43 of those tattoos were arm tattoos.
Based on this data, what is a reasonable estimate of the probability that the next customer does not get an
arm tattoo?
Choose the best answer.
Choose 1 answer.
43
346
43
389
43
43
346
389
St Watch video or use a hint
Report a problem
Answer:
346/389
Step-by-step explanation:
First determine how many were not arm tattoos
389-43
346
P( not arm) = not arm /total
= 346/389
Answer:
346/389
Step-by-step explanation:
Khan
complete the following proof by filling in the missing parts. NO LINKS
Answer:
below
Step-by-step explanation:
a.. it divides the triangle into two equal parts
b.. it is an isosceles triangle
c.. the base line of a mid point are equal
d.
g. two angles are equal in isosceles triangle
A retailer sells a refrigerator for a list price of $1,200. The retailers cost was $850. What is the percentage of the markup?
Answer:
41%
Step-by-step explanation:
1200-850=350
350 is the markup, now we need the percentage
the orginal price was 850 so we just need to divide 350 by 850
we get 0.4117...
convert that to a percentage and we have 41% markup
The denominator of a fraction is 4 more than twice its numerator. Denominator becomes 12 times the numerator, if both the numerator and the denominator are reduced by 6. Find the fraction.
Answer: [tex]\dfrac{6}{26}[/tex]
Step-by-step explanation:
Given
Denominator is 4 more than twice its numerator
Suppose the numerator is x. So, it follows above condition, fraction becomes
[tex]\Rightarrow \dfrac{x}{2x+4}[/tex]
If both numerator and denominator are reduced by 6, they become equal
[tex]\Rightarrow 12(x-6)=2x+4-6\\\Rightarrow 12x-72=2x-2\\\Rightarrow 10x=70\\\Rightarrow x=7[/tex]
The fraction is
[tex]\Rightarrow \dfrac{x}{4x+2}=\dfrac{6}{4\times 6+2}\\\\\Rightarrow \dfrac{6}{26}[/tex]
I WILL GIVE YOU BRAINLIEST, PLEASE HELP! I
Answer:
Amber has a total of $1225.54 after 10 years. Jin has a total of $1225.35 after 10 years. So, Amber earns $0.19 more
Step-by-step explanation:
A: Amber
First, convert 8 percent to r as a decimal
r = R/100
r = 8/100
r = 0.08 rate per year
P = Principal
e = 2.71828(mathematical constant)
t = time
Then solve the equation for A
A = P*e^(r*t)
A = 1,000.00(2.71828)^(0.08)(10)
A = $2,225.54
The total amount accrued, principal plus interest, with compound interest on a principal of $1,000.00 at a rate of 8% per year compounded continuously over 10 years for Amber is $2,225.54.
J: Jin
First, convert 8 as a percent to r as a decimal
r = R/100
r = 8/100
r = 0.08 rate per year
n = 365 days
Then solve the equation for A
A = P(1 + r/n)^n*t
A = 1,000.00(1 + 0.08/365)(365)(10)
A = 1,000.00(1 + 0.000219178)(3650)
A = $2,225.35
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $1,000.00 at a rate of 8% per year compounded 365 times per year over 10 years for Jin is $2,225.35.
$2,225.54-1000=A($1225.54)
$2,225.35-1000=J($1225.35)
Answer:
I think the person above explained it best. I just needed to answer a question to keep my streak going and since I know you irl, this is easy. Give that person brainliest bestie <3 they did good job
Step-by-step explanation:
help pls i will give brain list to whoever answers first
Answer:
not a answer
Step-by-step explanation:
try using demos graphing calculator
If f (x) = 6x - 6, find f(-1).
Answer:
Step-by-step explanation:
1
Answer:
-12
Step-by-step explanation:
Hi Alyssa!,
For any x we multiply it by 6 and subtract 6 from it to get the F. The function tells us this. To find f(-1) it bassicly says what's f when x is -1. Well we know that. f is 6(-1)-6 whis is -12.
F is -12
JoeLouis2
Kalon has $175 and needs to save atleast $700 for a computer.if he can save $35 per week, what is the minimum number for of weeks kalon will need to reach his goal
Answer:
15 weeks
Step-by-step explanation:
First, calculate the total that is needing to be saved not including the money she already has.
So 700 minus 175 is 525.
Next, to find the number of weeks, divide 525 by 35 which gives you 15 even.
So if Kalon continues to save $35 a week, it will take him 15 weeks to reach his goal of $700.
Given that XYZ ~ JKL answer the following:
what is the ratio of similarity (scale factor)
SOLVE for the length of YZ:
SOLVE for the length of JL:
Answer:
scale factor is 3/2
YZ=15
JL=12
Step-by-step explanation:
JK=XY
ZY=LK
XZ=JL
15/10=3/2 (scale factor)
3/2=x/10
now cross multiply
30/2=2x/2
15=x or YZ
3/2=18/y
cross multiply
3y/3=36/3
JL or y=12
Identify an expression that is equivalent to 0.3(12y). HELP PLEASEEE
Answer:4.5y
Step-by-step explanation: you have to multiply 15 times 0.3 and u get 4.5y
Kyle has two snakes fluffy is 2 meters long. Muffy is 900 millimeters long. Compare their lengths to fill in the blanks.
Answer:
Fluffy is longer than Muffy
Step-by-step explanation:
There are 1000 millimeters in a meter
Fluffy = 2000 millimeters
Muffy = 900 millimeters
Fluffy is longer than Muffy
2000 > 900
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Fluffy is longer than Muffy
There are 1000 millimeters in a meter
There are 1000 millimeters in a meterFluffy = 2000 millimeters
There are 1000 millimeters in a meterFluffy = 2000 millimetersMuffy = 900 millimeters
There are 1000 millimeters in a meterFluffy = 2000 millimetersMuffy = 900 millimetersFluffy is longer than Muffy
There are 1000 millimeters in a meterFluffy = 2000 millimetersMuffy = 900 millimetersFluffy is longer than Muffy2000 > 900
write the standard form of the equation of a circle with a radius of 1 and a center of (-7,1)
Answer:
(x + 7)² + (y - 1)² = 1
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (- 7, 1) and r = 1 , then
(x - (- 7) )² + (y - 1)² = 1² , that is
(x + 7)² + (y - 1)² = 1
please help me!!!!! please
explaining your answer = brainliest
Answer:
42.39 sq.cm
Step-by-step explanation:
Ф = 135°
r = 6 cm
Area of the sector = [tex]\frac{theta}{360}*\pi *r^{2}\\[/tex]
[tex]= \frac{135}{360}* 3.14 *6 * 6\\\\= \frac{135}{10}*3.14\\\\= 27 * 1.57\\\\=42.39[/tex]
The area of sector bounded by 135 ° arc is 42.42 cm ².
Step-by-step explanation:
Given :-Radius of the circle , r = 6 cm
Angle of the circle, θ = 135 °
To Find :-Area of circle bounded by a 135 ° arc.
Solution :-We know that
[tex]\small \sf \: Area \: of \: sector \: = \frac{θ}{360} \: \times \pi \times r {}^{2} \\ [/tex]
Substitute the values of r and θ , we get
Area of sector =
[tex]\small \sf \: Area \: of \: sector \: = \frac{135 °}{360} \: \times \pi \times {6cm}^{2}\\ [/tex]
[tex]\small \sf \: Area \: of \: sector \: = \frac{135°}{360} \: \times \frac{22}{7} \times 6cm \times 6cm \\ \\ \small \: \sf Area \: of \: circle \: = \frac{135}{360} \times \frac{22}{7} \times 36cm {}^{2} \\ \sf \: \: = \frac{135}{10} \times \frac{22}{7} \\ \sf \: = 42.42cm \: {}^{2} [/tex]
Therefore, The area of sector bounded by 135 ° arc is 42.42 cm ².
ASAP brainliest if right
How does the graph of f(x) = |x| compare with the graph of g(x) = −2|x|? Select all that apply.
A. The graph of g is a vertical compression of the graph of f.
B. The graph of g is a vertical stretch of the graph of f.
C. The graph of g is a reflection over the x-axis of the graph of f.
Answer:
option A
Step-by-step explanation:
y = k . f( x )
• if k > 1, the graph of y = k•f (x) is the graph of f (x) vertically stretched by multiplying each of its y-coordinates by k.
• if 0 < k < 1 (a fraction), the graph is f (x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by k.
• if k < 0, the vertical stretch or shrink is followed by a reflection across the x-axis.
Given g(x ) = - |x |
= -1 × f(x)
k < 0 , therefore the graph g (x) is a vertical shrink ( or compression ) of graph f
What is the value for the expression (-5)(3 + 4) ?
Answer:
-35
Step-by-step explanation:
Since there are parentheses, you start with that. 3+4=7
Now, -5 x 7 =-35
Answer:
-35
hope this helps
have a good day :)
Step-by-step explanation:
3+4=7
-5 x 7=-35
simplify an expression
(x^2y^4z)^5/(xy)^2
A) y10z5
B) x6y7z5
C) x7y9z5
D) x8y18z5
Answer:
d
Step-by-step explanation:
I need help. Please 30 points if you know no links, or I will report you.
Answer: for first question answer is second option and other question answer is again b
Step-by-step explanation:
Firstly you already see that the median is increasing because it is first 403 and changing to 553. We can understand it increased
what is 12.8% of 250?
Answer:
32
put 12.8% as a decimal which is 0.128 and times it by 250
Answer:
32
Step-by-step explanation:
[tex]\frac{y}{250} :\frac{12.8}{100}[/tex]
y × 100 = 250 × 12.8
100y = 3200
100y ÷ 100 = 3200 ÷ 100
y = 32
While attempting to multiply the expression (3x + 7)" a student made mistakes. Explain and write the correct way.
Answer:
9x²+42x+49
Step-by-step explanation:
that is not the correct way to foil.
the correct way would be (3x+7)²= (3x+7)(3x+7)
simplifying that would give us 9x²+42x+49
his mistake was multiplying wrong because he did not foil
Find the surface area of the cylinder. Round your answer to the nearest tenth.
Answer:
62.8
Step-by-step explanation:
The formula of finding the volume of a cylinder v= pi*r^2*h
So substitute the values:
r is 2, and h is 5
v=pi*2^2*5
Then solve the equation:
v=pi*4*5
v=pi*20
v=62.8 (I multiplied 20 by 3.14, or pi)
So the answer is 62.8
10.3% of 853.93km rounded to 2 dp
Answer:
87.95479
Step-by-step explanation:
10.3% of 853.93 km
Expand 10.3÷100 by multiplying both numerator and denominator by 10.
[tex] \small \sf \frac{10.3 \times 10}{100 \times 10} = 853.93 \\ [/tex]
[tex] \small \sf \frac{103}{1000} = 853.93 \\ [/tex]
convert decimal number 853.93 to fraction 85394÷100
[tex]\small \sf \frac{103}{1000} = \frac{85393}{100} \\[/tex]
Multiplying 103÷1000 and 85393÷100 by numerator times numerator and denominator times denominator.
[tex]\small \sf \frac{103 \times 8539 3}{1000 \times 100} \\[/tex]
Do the multiplication in the fraction
[tex]\small \sf \frac{8795479}{100000} \\ [/tex]
Divide we get
87.95479
Another way to solve it
10.3% 853.93
we know that ; % = whole no. ÷ 100
then,
10.3 ÷ 100 × 853.93
Divide the numbers
0.103 × 853.93
multiply the numbers
87.95479
Amy has a rectangular garden that is 23 feet wide. If the length of the garden is 12 feet, what is the length of its diagonal, in feet? Round to the nearest tenth
Answer:
25.9 feet
Step-by-step explanation:
If you split a rectangle into 2 pieces with a diagonal, each piece will be a right triangle
Therefore we can use the pythagorean theorem to solve this problem
The two legs of the right triangle will be 23 and 12
The formula is a^2 +b^2=c^2
c^2 is the diagonal squared ( the hypotenuse)
So:
12^2+23^2=c^2
144+529=c^2
673=c^2
To find just c we need to find the square root of 673, rounded to the nearest tenth
[tex]\sqrt{673}=25.9[/tex]
(the equation is rounded)
So the diagonal is 25.9
What is the value of √(18-6)^2+(17-1)^2
Answer:
20
Step-by-step explanation:
sqrt((18-6)^2+(17-1)^2)
Inside parentheses first
sqrt((12)^2+(16)^2)
Then square inside the parentheses
sqrt(144+256)
Sqrt(400)
Taking the square root
20
[tex]\quad \quad \quad \quad\tt{ \sqrt{(18 - {6)}^{2}+ (17 - {1)}^{2}} }[/tex]
Let's try![tex]\quad \quad \quad \quad\tt{ \sqrt{(18 - {6)}^{2}+ (17 - {1)}^{2}} }[/tex]
[tex]\quad \quad \quad \quad\tt{ \sqrt{{(12)}^{2}+ {(16)}^{2}} }[/tex]
[tex]\quad \quad \quad \quad\tt{ \sqrt{144+ 256} }[/tex]
[tex]\quad \quad \quad \quad\tt{ \sqrt{400} }[/tex]
[tex]\quad \quad \quad \quad\tt{ = 20}[/tex]
Hence, The answer is:[tex]\quad \quad \quad \quad \huge\boxed{ \tt{ \color{green}20}}[/tex]
________
#LetsStudy
4 16. Deborah's garden has a length of 8 - feet and a width of 5 feet. What is the area of her garden? 4
Answer:
20
Step-by-step explanation:
L times W
length times width
so 5 x 4 = 20
Help ASAP math homework no spam links or i will report
Answer:
[tex]x = \frac{19-2y}{3}[/tex]
[tex]y=-\frac{3x+19}{2}[/tex]
Step-by-step explanation:
4x + y = 22
y = x - 3
4x + y + y = 22 + x - 3
4x + 2y = 19 + x
4x - x + 2y = 19 + x - x
3x + 2y ÷ 3 = 19 ÷ 3
[tex]x = \frac{19-2y}{3}[/tex]
[tex]y=-\frac{3x+19}{2}[/tex]
Answer:
a)Let's solve for x.
4x+y=22
Step 1: Add -y to both sides.
4x+y+−y=22+−y
4x=−y+22
Step 2: Divide both sides by 4.
4x
4
=
−y+22
4
x=
−1
4
y+
11
2
a)y=x−3
b)y=
−1
2
x+6
b)x=y-12