Step-by-step explanation:
-81/2 =-40.5
-91/2 =-45.5
Divide 405 into the ratio of 3:12
What is the solution for 3x =9
x = 3
Divide each term by 3 and simplify.
7. Find: (i) x + y +z (ii) a+b+c+d
Answer:
Q.1 360° Q.2 360°
Step-by-step explanation:
Q.1 let the third angle of the triangle be a
70°+40°+a=180(by angle sum property)
110°+a=180
a=180°-110°
a=70°
angle x=70°+x=180°(linear angle)
x=180°-70°
x=110°
angle z= 40°+z=180
z= 180°-40°
z=140°
angle y=a+y=180°
70°+y=+80°
y=180°-70°
y=110°
y+z+x=110° +110° +140°=360
Q.2 let the fourth angle of the quadrilateral be x
120°+70°+60°+ x=360° (by angle sum property)
250°+x=360°
x=360°-250°
x=110°
angle a=120°+a=180°(by linear angle)
a=180°-120°
a=60°
angle b=70°+b=180°
b=180°-70°
b=110°
angle c=x+c=180°
110° + c=180°
c=180°-110°
c=70°
angle d=60°+d=180°
d= 180° -60°
d=120°
a+b+ c+d=120°+110°+60°+70°=360°
Which expression is equivalent to x2 - 40 - 45?
A(x - 9) (x - 5)
B(x +9)(x + 5)
C(x + 9) (x - 5)
D(x-9)(x+5)
Answer:
the answer is B (x+9)(x+5)
20% of all the children in a class are left handed.
4 children are left handed.
How many children are there in the class altogether?
Answer:
There are 20 students in the class
Step-by-step explanation:
Let the total number of children in the class be = x
from the question, we know that 20% of all the children are left-handed. We also know that 20% of the total children in the class = 4.
This means that 20% of x = 4
Wherever we see the word "of" in an arithmetic problem, we should know that it infers a multiplication there.
Hence, we have
[tex]\frac{20}{100} \times x = 4[/tex]
[tex]x = \frac{4 \times 100}{20}= 20[/tex]
There are 20 children in the class altogether
In Tampa the number of new houses built each month during the first half of the year decreased at a constant rate. During the second half of the year the number of new houses remained the same. Which graph best illustrates the numbers of houses built over the course of the year? 1l
Answer:
D or C I believe
Step-by-step explanation:
it says it was going down and then it stayed the same, but what confuses me is that the bottom says "month" so I cant tell now if its an error or its telling us it is still going down during the month year (C) so yeah good luck :,)
The top of the mountain is at an elevation of 800 feet. The floor of the cave is 200 feet below ground. What is the distance between the top of the mountain and the floor of the cave?
Answer:
1000
Step-by-step explanation:
Find ,giving your answer correct to 3 significant fig where necessary a. 60%of 850
Answer:
60%of 850
60×850÷100
=510
a bed of a pickup truck measures 4 ft by 8 ft to the nearest inch what is the length of the longest thin metal bar that will lie flat in the bed
Answer:
11 ft 3 in
Step-by-step explanation:
The bed of a pickup truck measures 4 feet by 8 feet. To the nearest inch, what is the length of the longest thin metal bar that will lie flat in the bed? 11 ft 3 in.
Answer:
Step-by-step explanation:
the diagonal is the longest so use Pythagoras
c^2 =a^2 + b^2
c^2=4^2+8^2
c^2=16+64
c =[tex]\sqrt{80}[/tex]
c = 8.944 ft
The price of a television is $700 at two different stores. Each store is offering a different promotion. Which deal is the best?
Store A: 15% off sale
Store B: $50 off coupon
Store A
Store B
K/4 -5 =23 what does k equal
Answer:
I think the answer 22.
Step-by-step explanation:
Please can you help me with this
9514 1404 393
Answer:
85°
Step-by-step explanation:
The sum of arcs in a circle is 360°.
FG +140° +80° +55° = 360°
FG = 360° -275°
FG = 85°
What is the solution set for the inequality below
-3x + 15 < 18
Answer:
x > -1
Step-by-step explanation:
-3x + 15 < 18
Subtract 15 from each side
-3x + 15-15 < 18-15
-3x < 3
Divide each side by -3, remembering to flip the inequality
-3x/-3 > 3/-3
x > -1
can someone help please?
Given the graph that is shown. What is the range of the function??!
Answer:
[tex]-3\leq x[/tex] < 6
third answer choice
Step-by-step explanation:
yo plz help I don't understand
Answer:
Step-by-step explanation:
The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share, now when you have a polynomial, the greatest common factor (GCF) of a polynomial is the largest monomial that divides evenly into each term , so
[tex](GCF)\\x^4=x^4\\x^5=x^4.x\\x^7=x^4 x^3\\(GCF)=x^4 \\[/tex]
I hope this helps you
PLEASE MARK ME AS BRAINLIEST
From the graph shown, what is an approximate solution of the system of equations?
What is the origin of algebraic expresions plz
Colin buys a tv for £780.
It depreciates at a rate of 5% per year.
How much will it be worth in 6 years?
Give your answer to the nearest penny where appropriate.
Answer:
£573.40
Step-by-step explanation:
Amount = cost price - total depreciation
depreciation (1st year ) = 5% of £780
= [tex]\frac{5}{100}[/tex] x 780
= 0.05 x 780
= £39.00
depreciation (2nd year) = 5% of £741
= £37.05
depreciation (3rd year) = 5% of 703.95
= £35.1975
depreciation (4th year) = 5% of 668.7525
= £33.437625
depreciation (5th year) = 5% of 635.314875
= £31.76574375
depreciation (6th year) = 5% of 603.5491313
= £30.17745656
Total depreciation = £39.00 + £37.05 + £35.1975 + £33.437625 + £31.76574375 + £30.17745656
= £206.6283253
Total depreciation = £206.6283253
Therefore,
Amount after 6 years = £780 - £206.6283253
= £573.3716747
= £573.40
The worth of the TV after 6 years is £573.40.
Answer:
573.37
Step-by-step explanation:
Sally sells sea-shells by the seashore. After 6 days, she has made
$16. After 17 days, she has made $60. How much does Sally
make each day?
Answer:
the right answer is$2.66
compare and contrast rates and ratios
Answer:
A ratio is a comparison of two numbers. A rate, by contrast, is a comparison of two quantities which can have different units.
Step-by-step explanation:
For example 5 miles per 3 hours is a rate, as is 34 dollars per square foot.
Craig measured a length as 0.034 millimeters. What is the margin of error? 0.03 mm to 0.04 mm 0.033 mm to 0.034 mm 0.0335 mm to 0.0345 mm 0.0345 mm to 0.0350 mm
C. 0.0335 mm to 0.0345 mm
Step-by-step explanation:
The least significant digit of Craig's measurement is in the 0.001 mm place. The error in the measurement is presumed to fall within half that value either side of Craig's measurement. So, the actual value is expected to be in the range ...
0.034 - 0.0005 = 0.0335
to
0.034 + 0.0005 = 0.0345
The measurement is presumed to be in the range 0.0335 mm to 0.0345 mm.
Answer:
C
Step-by-step explanation:
cuz...just trust me
Solve the formula a(m - r) + t = s for a
Answer:
[tex]\huge\boxed{a =\frac{s-t}{m-r}}[/tex]
Step-by-step explanation:
In order to convert an equation to solve for another variable, we need to algebraically manipulate the problem until we're left with a isolated on one side.
Step 1: Subtract [tex]t[/tex] from both sides
[tex]a(m-r) + t - t = s - t[/tex] [tex]a(m-r) = s-t[/tex]Step 2: Divide both sides by [tex]m- r[/tex]
[tex]\frac{a(m-r)}{m-r} = \frac{s-t}{m- r}[/tex] [tex]a = \frac{s-t}{m-r}[/tex]Hope this helped!
7x-6y=9
5x+2y=19 Solve the system using elimination.
Step-by-step explanation:
multiply 5x+2y=19 by 3 youll get 15x+6y=57
eliminate y
7x-6y=9
15x+6y=57 +
22x=66
x=3
substitute x to 5x+2y=19
15+2y=19
2y=4
y=2
Divide. Write your answer as a fraction or mixed number in simplest form.
-15/7 ÷ 18/35
Answer: -4 1/6
Step-by-step explanation:
-15/7 ÷ 18/35
-15/7 x 35/18
-5 x 5/6
-25/6
-4 1/6
Kristen used the expression 82 - 22.2-52, what is the
value of it?
Answer:
the answer to this is 7.8
a bus travels 320 miles in 6.4 hours. if the bus continues at the same rate, which proportion can be used to find m, the number of miles the bus will travel in 9 hours.
Answer:
A
Step-by-step explanation:
Ok first we need to find rate of MILES per HOUR
320/6.4=50
m= miles in 9 hours
9*50=450
Cross Multiplyis your answer
A
(6.4*9)/320m=Hours/miles
Hope this helps!
The number of miles the bus will travel in 9 hours will be 6.4 / 320 = 9 / m. Then the correct option is B.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
A bus travels 320 miles in 6.4 hours. if the bus continues at the same rate.
We know that speed is the ratio of distance and time. Then we have
The number of miles the bus will travel in 9 hours will be
320 / 6.4 = m / 9
6.4 / 320 = 9 / m
Then the correct option is B.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
Help Me please and thank you
Answer:
Hii Xxx
Please give your mobile number
The function t=f(S) models the time, in hours, for a sample of water to evaporate as a function of the size S of the sample, measured in millimeters. What are the units for f’’(S)?
Given that,
The function is t = f(S).
To find,
The unit of f''(S).
Solution,
The given function shows the time for a sample of water to evaporate as a function of the size S of the sample, measured in millimeters.
f'(S) will be in hours per Mililiter
And
f''(S) will be in hours per Mililiter per Mililiter. Therefore, this is the required solution.
On a coordinate plane, point AS
located at(74) and point Bis
located at 8.41 What is the
distance between the two points?
Answer:
√1370 or about 37.01
Step-by-step explanation:
use distance formula
√(x2-x1)^2+(y2-y1)^2
sqrt(8-7)^2+(41-4)^2
sqrt(1)^2+(37)^2
sqrt 1+1369
sqrt 1370
= about 37. 01