Answer:
Cost of a kit is $20
cost of a microscope is $80
Step-by-step explanation:
Here, we want to write a set of equations and solve
Let the cost of a microscope be $m while the cost of a kit be $k
Total cost of 38 microscopes will be 38 * m = $38m
Total cost of 47 kits = 47 * k = $47k
The sum of these is $3980
That will be;
47k + 38m = 3980 ••••••(i)
A microscope cost 4 times a kit
Mathematically;
m = 4k •••••••••(ii)
Substitute ii into i
47k + 38(4k) = 3980
47k + 152k = 3980
199k = 3980
k = 3980/199
k = $20
Recall;
m = 4k
m = 4 * 20 = $80
3 1/8 rounded to the closest benchmark
Answer:
3
Step-by-step explanation:
3 and 1/8 is rounded down to 3
I've tried solving this but I'm stuck -8=2/x
Answer:
-0.25
Step-by-step explanation:
-8= 2/x
multiply both sides by x -> -8x =2
divide both sides by -8 -> x=2/-8
Ans= -1/4 = -0.25
PLEASE HELP! The question is in the attachment.
Answer:
x > 1
Step-by-step explanation:
15 - 1 = 14
The inequality is 15 - 1 < 14, but this is incorrect. 14 can not be less than 14. In order for the left side to be less than 14, the x value (currently representing 1) should be larger than what it currently is to make the statement true.
Therefore, x>1
Convert each rational number into its decimal form. 1. 1/3 2. 1/6 3. 1/9
Answer:
1. 0.33 2. 0.16 3. o.11
Step-by-step explanation:
Will give they crownnnnn
Answer:
c 44
Step-by-step explanation:
Answer: 44
55^2 minus 33^2 = radical 1936 which equals to 44 because 44^2 is.. 1936
List 4 true angle facts about the illustration created by
AD intersects FK at point M.
select the procedure that can be used to show the converse of the pythagorean theorem using side lenghths chosen from 6cm, 9cm, 12cm, and 15cm
Answer: what was it?
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
PLEASE Help !!!!!!!!!!!!!!!!!!!!!
I need the answers for the ones marked with a blue x!!!!!!!!!!
Answer:
steps below
Step-by-step explanation:
f(x) = -2/5 * (x+1)² + 7
Parent function: f(x) = x²
Transformation: Vertical shift up 7 units and horizontal shift left 1 unit
reflect about the x axis (+) : parabola faced downward
compression:(+) *2/5
(2b) After stopping for lunch, they travel at different speeds. To travel the next 60
miles, it takes Lin 65 minutes and it takes Diego 70 minutes. Who was traveling
faster? *
Lin
Diego
Answer:Lin
Step-by-step explanation: because it takes him less time for the mile
PLEASE HELP ASAP I WILL MARK BRAINLIEST IF MULTIPLE ANSWERS!!!
Are these two shapes similar?
And why?
Plz help thanks I will mark brainliest
Answer:13x
Step-by-step explanation:I had that
Answer:
I have no clue what a graphical situation is but I do know the answer to x and how to plot it
first of all the answer to x is
x<-3 1/3
So first of all for the graph its a blank circle becuase its not a greater then or equal to sign.
Always iclude 0 in graphs
make a plot out of 1/3 benchmarks
1/2, 2/3, 1, 1 1/3, etc. (but its negative instead)
Now from the -3 1/3 point
make a black circle and make a line pointing to the left
there The graph
Susan paid $240. to have her house decorated. The materials
used to decorate the house cost $115, and service was
charged at $5 an hour. How many hours was the house
worked on?
hours :
=
Answer:
2 hours
Step-by-step explanation:
$115 + $5 = 120
120 x 2 = 240
Answer:
25 hours
step-by-step explanation:
240-115=125/5=25 pog
If there are 48 countries in Asia out of 195 countries in the world, what percent of countries are in asia? Please help, i don’t understand.
Answer:
24.61%
Step-by-step explanation:
48÷195=0.24615385
convert that decimal to a percent
24.61%
*********if the question asks you to round up, then the answer is 24.62%
Triangle ABC is rotated 180 degrees around point B and then dilated to form triangle DBE as shown. Which postulate or theorem establishes that the triangles are similar? AA Similarity SSS Similarity SAS Similarity ASA Similarity
Answer:
AAA Similarity
Step-by-step explanation:
Given:
Triangles ABC and DBE
Required
Which postulate shows ABC and DBE similarity
From the question, we understand that the following transformation were done on ABC
RotationDilationIt should be noted that, when a triangle (e.g. triangle ABC) is rotated, the length of the sides and angle measurements remain unchanged.
However, when this triangle is dilated, the sides of the triangle change, but the angles remain unchanged.
Having said that,
When ABC is rotated and dilated to form DBE, we have:
[tex]\angle A = \angle D = a[/tex]
[tex]\angle B = \angle B = b[/tex]
[tex]\angle C = \angle E = c[/tex]
[See Attachment]
Hence, the postulate that answers this question is AAA (Angle-Angle-Angle).
Help!
What is the value of x?
Enter your answer in the box.
x =
Answer:
39°
Step-by-step explanation:
102 + 39 = 141
180 - 141 = 39
Answer:
298
Step-by-step explanation:
What does x = ? 1 ÷ 11/2 = x
Answer:
x = 2/11
Step-by-step explanation:
1 ÷ 11/2 = x
1 · 2/11 = x (Used the opposite reciprocal and changed to multiplication. This is the same as dividing with the original fraction.)
2/11 = x
Answer:
[tex]1 \div \frac{11}{2} = x \\ \frac{1}{ \frac{11}{2} } = x \\ x = \frac{2}{11} \\ thank \: you[/tex]
Work out the area of a rectangle with base 18mm and perimeter 38mm
Answer:
684 mm squared
Step-by-step explanation:
Very simple. It's 18mm multiplied by 38 mm.
18 mm * 38 mm = 684 mm2
Work out the TOTAL surface area of this hemisphere which has a radius of 8cm?
Answer:
603.2cm²
Step-by-step explanation:
SAshpere=4πr²
SAhemi=2πr²+πr²
2πr²+πr²=3πr²
3×π×8²=192π
=603.2cm²
Very easy question - please answer fast
Answer:
A
Step-by-step explanation:
Cause if you go up 1 and to the right three you get a point on the line
Help please! Thank u so much 22 points for 5 questions
hi;augh4 vhaugawhfdb
Step-by-step explanation:
Find the lengths of all three sides of the
triangle
Answer:
GH = 49
GJ = 35
HJ = 35
Step-by-step explanation:
:::::
Help me please :( !
Kevin and christy both saved money for their class trip . Kevin saved the same amount each week . The total amount that Kevin saved at the end of every two weeks in shown in the table below .
Answer:
D. Christy saved $3 per week more than Kevin.
Step-by-step explanation:
We already know how much Christy saves per week, because of the equation y = 26x. She saves $26 per week.
To find Kevin's per week savings, divide y by x. I'll do (6, 138) as an example.
138 / 6
What multiple of 60 is closest to 138 without going over. That's 120.
138 - 120 = 18
Now we know the constant (k) is greater than 20.
18 / 6
6 goes into 18 three times.
20 + 3 = $23 per week.
$23/week is less than $26/week, so to say Kevin earned more than Christy in one week is wrong. As a result, A and C are out.
Now subtract 23 from 26 to get a $3 per week difference, which is D.
Karl’s watering system rotates at a constant. One complete rotation takes 72 hours. Following the circular motion of the watering system, how many degrees was watered after TWO DAYS?
Answer:
After two days, 240 degrees was water.
Step-by-step explanation:
24 hours = 1 day
72 hr/24 hr = 3 days
Therefore, one full rotation takes 3 days.
1 rotation = 360 degrees
360 degrees/ 3 days = 120 degrees per day
120 degrees x 2 days = 240 degrees
240 degrees was watered after two days
Which of the following is equivalent to 1/10?
A.
2/100
B.
1/100
C.
10/100
D.11/100
Answer:
C) 10/100
Step-by-step explanation:
1/10
To change it into a different fraction we can multiply, and since we want it to get the denominator to 100, we multiply by 10, because 10 x 10 = 100.
1 x10 10
- -
10 x10 100
What are the values of m x and a
Answer:
The value of x is 3
The value of m is 5.25
The value of a is 1.75
Step-by-step explanation:
I attached the picture with labels to can solve
In the 2 Δs ADE and ACF
∵ DE // CF
∴ m∠ADE = m∠ACF ⇒ corresponding angles
∴ m∠AED = m∠AFC ⇒ corresponding angles
→ By using the AA postulate of similarity
∴ The two triangles are similar
∴ Their corresponding sides have the same ratio
∴ [tex]\frac{AD}{AC}[/tex] = [tex]\frac{EA}{FA}[/tex] = [tex]\frac{DE}{CF}[/tex]
∵ AD = AB + BC + CD
∵ AB = 3, BC = 6, CD = x
∴ AD = 3 + 6 + x
∴ AD = 9 + x
∵ AC = AB + BC = 3 + 6
∴ AC = 9
∵ AE = AG + GF + FE
∵ AG = 4, GF = 8, FE = 4
∴ AE = 4 + 8 + 4
∴ AE = 16
∵ FA = AG + GF = 4 + 8
∴ FA = 12
∵ DE = 7 and CF = m
→ Substitute them in the ratio above
∴ [tex]\frac{9+x}{9}[/tex] = [tex]\frac{16}{12}[/tex] = [tex]\frac{7}{m}[/tex]
→ By using cross multiplication with the first 2 fractions
∵ 12 × (9 + x) = 9 × 16
∴ 12(9) + 12(x) = 144
∴ 108 + 12x = 144
→ Subtract 108 from both sides
∴ 108 - 108 + 12x = 144 - 108
∴ 12x = 36
→ Divide both sides by 12 to find x
∴ x = 3
→ By using cross multiplication with the second 2 fractions
∵ 16 × m = 12 × 7
∴ 16m = 84
→ Divide both sides by 16
∴ m = 5.25
In the 2 Δs ABG and ACF
∵ BG // CF
∴ m∠ABG = m∠ACF ⇒ Corresponding angles
∴ m∠AGB = m∠AFC ⇒ corresponding angles
→ By using the AA postulate of similarity
∴ The two triangles are similar
∴ Their corresponding sides have the same ratio
∴ [tex]\frac{AB}{AC}[/tex] = [tex]\frac{GA}{FA}[/tex] = [tex]\frac{BG}{CF}[/tex]
∵ AB = 3 and AC = 9
∵ GA = 4 and FA = 12
∵ BG = a and CF = m = 5.25
→ Substitute them in the ratio above
∴ [tex]\frac{3}{6}[/tex] = [tex]\frac{4}{12}[/tex] = [tex]\frac{a}{5.25}[/tex]
→ By using cross multiplication with the second 2 fractions
∵ 12 × a = 4 × 5.25
∴ 12a = 21
→ Divide both sides by 12 to find a
∴ a = 1.75
A ladder is leaning against a building. The
ladder hits the building 12 ft from the ground
The base of the ladder is 6 ft from the base of
the building. How tall is the ladder, to the
nearest tenth of a foot?
Answer:α
=
71
°
:
explain:
From trigonometry we have:
cos
α
=
7
21
7
=
21
cos
(
α
)
and:
α
=
a
r
c
cos
(
7
21
)
=
70.5
≈
71
∘
12.3 + (62 - 11.8) - 1?
Answer:
61.5
Step-by-step explanation:
A measure of three angles of a triangle is shown below. What is the measurement of x? Record your answer in the gridable below.
x + (x + 2) + 38 = 180
2x + 40 = 180
2x = 140
x = 70
What is the first step in the solution of (x + 3)2 = 5?
Answer:
Step-by-step explanation:
it should be (x+3)2=5
xx2=2x+5=5
5-5=0
x=2
Answer:
(x+3)2=5
2(x+3)=5
2x+2x3=5
2x+6=5
(2x+6)+(-6)=5+(-6)
2x+6-6=5-6
2x=-1
2x/2=-1/2
x=-1/2
[tex]4c + 18 = 74[/tex]
find the value of c 4c + 18=74
Answer:
c = 14Step-by-step explanation:
4c + 18 = 74 {subtract 18 from both sides}
4c = 56 {divide both sides by number by x (4)}
c = 14
