Answer:
29
Step-by-step explanation:
So DF = 42, And we know that DF = DE + EF
Therefore (7x+1) + (4x-3) = 42
11x -2 = 42
11x = 44
x = 4
Substitute x = 4 onto DE equation, so 7(4) +1
= 29.
The required measure of line segment DE is 29.
Given that,
A line segment DF is given,
E is a point on the segment DF, where DE = 7x +1 and EF = 4x - 3
and DF = 42,
To determine the measure of DE.
A line is a straight curve showing the shortest distance between 2 points.
Here,
DF = DE + EF
From the given put the values of DF = 42, DE = 7x +1 and EF = 4x - 3
42 = 7x + 1 + 4x - 3
42 = 11x - 2
11x = 44
x = 4
DE = 7x + 1
Put the value of x in above equation,
DE = 7 * 4 + 1
DE = 28 + 1
DE = 29
Thus, the required measure of the DE segment is 29.
Learn more about lines here:
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Please help me!!! A bag is filled with small and large marbles. The ratio of small to large marbles is 1:3. If there are eight more large marbles than small marbles, how many total marbles are in the bag?
Answer:
10 Marbles in total
Step-by-step explanation:
A ratio is pretty much a diversity between two things.
Examples:
Apples, green vs red
1 green apple : 3 red apples
Your Questions Explanation:
Marbles, small vs large
1 small marble : 3 large marbles
BUT if there are 8 MORE large marbles than small marbles
what that looks like as a ratio...
1:9
Then in total there are 10 marbles in the bag.
<3 Enjoy,
Dea
A quarterback is sacked for a loss of 4 yards. On the next play, his team loses 10 yards. Then the team gains 12 yards on the third play. Write an addition expression to represent the situation. Then find the sum and explain its meaning.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the question:
Play 1: Quarterback was sacked for a loss of 4 yards
Play 2 : Another loss of 10 yards
Play 3: a gain of 12 yards
Write an addition expression to represent the situation. Then find the sum and explain its meaning.
A loss of 4 yards = - 4
Loss of 10 yards = - 10
Gain of 12 yards = + 12
Addition expression for the scenario :
(-4) + (-10) + 12
Result :
-4 + (-10) + 12
= - 4 - 10 + 12
= - 14 + 12
= - 2
Hence, after two consecutive losses of 4 and 10 yards, the team wins 12 yards on the third play and the aggregate yards lost is reduced to 2 yards.
Give two more examples of irrational numbers between 10 and 11.
8 blocks can build a house. Jimmy has 165 blocks, how many houses can he build? How many blocks will he have left?
Answer:
He can build 20 houses. He will have 5 left over.
Step-by-step explanation:
8 x 20 = 160
165 (total blocks) - 160 (highest possibility) = 5 (not enough to build a house, which is why they are left over)
These are Literal Equations. Solve for g: aeg=10.
Answer:
g = 10/(ae)
Step-by-step explanation:
When variables are shown like that, in reality they are multiplied:
aeg = 10 is the same as a * e * g = 10
Isolate the variable, g. Note the equal sign, what you do to one side, you do to the other. Simply divide variables a & e from both sides:
(aeg)/ae = (10)/ae
g = 10/ae
g = 10/(ae) is your answer.
~
A contractor bought 34 loads of soil each weighing 12 tonnes at $13 per tonne. What was the total cost?
Answer:
$5304
Step-by-step explanation:
One load of soil is 12 tons.
Multiply 34 with 12: 34 x 12 = 408 tonnes in all.
Next, multiply the cost per tonne with the amount of tonnes:
408 x 13 = 5304
$5304 is the total cost.
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Do the following ratios form a proportion? 5/8, 9/14 OR 10/16, 18/28 BRAINLIEST AND 30 POINTS
Answer:
18/28
Step-by-step explanation:
In triangle $ABC,$ $AB = BC = 17$ and $AC = 16.$ Find the circumradius of triangle $ABC.$
Answer:
[tex]R = 9.63\ units[/tex]
Step-by-step explanation:
Given
[tex]AB = BC = 17[/tex]
[tex]AC = 16[/tex]
Required
Determine the circumradius, R
The circumradius is calculated as follows;
[tex]R = \frac{AB * BC * AC}{\sqrt{(AB + BC + AC)(AB + BC - AC)(AB + AC - BC)(AC + BC - AB)}}[/tex]
Substitute the values of AB, BC and AC
[tex]R = \frac{17 * 17 * 16}{\sqrt{(17 + 17 + 16)(17 + 17 - 16)(17 + 16 - 17)(16 + 17 - 17)}}[/tex]
Evaluate the denominator
[tex]R = \frac{17 * 17 * 16}{\sqrt{(50)(18)(16)(16)}}[/tex]
[tex]R = \frac{4624}{\sqrt{230400}}[/tex]
Take square root of 230400
[tex]R = \frac{4624}{480}[/tex]
[tex]R = 9.63\ units[/tex] (Approximated)
Hence, the circumradius is 9.63
Answer:
289/30
Step-by-step explanation:
Let the circumcenter be point O. We start by drawing line median BM. Since AB = BC, median BM is perpendicular to side AC.
Therefore, BM is part of the perpendicular bisector of AC and thus, must pass through point O.
We have AM = 8, so the Pythagorean Theorem applied to triangle ABM gives us BM = 15.
Let OA = x, our circumradius. Since O is equidistant from A and B, we have OB = x as well.
Therefore,
OM = BM - BO = 15 - x.
From right triangle OAM, we have (OA)^2 = (OM)^2 + (AM)^2.
Solving for x, we have 30x = 225 + 64.
So, x = 289/30.
3;7;11;15... are the first four terms of an arithmetic sequence.
Given the last term is 671 determine the sum of the terms that are not divisible by 3
dAnswer:
BAN ME
Step-by-step explanation:
\fdsa
Using the midpoint formula, determine the midpoint between the given coordinates. a. (-4, 4) and (-2, 2) M=( -3, ) b. (9, -10) and (-1, 26) M=( , )
Answer:
Step-by-step explanation:
a. (-4 - 2)/2 = -6/2= -3
(4 + 2)/2= 6/2 = 3
(-3, 3)
b. (9-1)/2= 8/2 = 4
(-10+26)/2= 16/2= 8
(4,8)
Find the height H of solid
Of the 400 employees,5% of them are park managers.How many managers does the park employee?
Answer:
16/5
Step-by-step explanation:
1600 diviudes by 100=16
Multiply total People by percentage:
400 x 0.05 = 20
There are 20 managers
what is the surface area of this cylinder ?q
Answer:
130 pi or 408.41
Step-by-step explanation:
formula for sa of a cylinder is 2pir^2+2pirh
you just fill in the r and h
Answer:
[tex]\approx 408.2[/tex] in²
Step-by-step explanation:
The surface area of a cylinder can be represented as [tex]2\pi rh+2\pi r2[/tex]. Let's represent pi as 3.14 and r is 5 and h is 8.
[tex](2\cdot 3.14\cdot 5\cdot8) + (2\cdot 3.14 \cdot 5^2)\\\\251.2 + 157 = 408.2[/tex]
This means the surface area of this cylinder is 408.2 in².
Hope this helped!
can three lines intersect at one point?
Answer:
yes
Step-by-step explanation:
use this picture as an example
Yvonne's car with an 11-gallon gas tank gets an average of 32 miles per gallon. She travels 12 hours at an average speed of 64 miles per hour. Gas costs $3.25 per gallon. How much does the gasoline cost for this trip?
Answer:
$78
Step-by-step explanation:
Here we have to find total distance first then find amount of gasoline used based on distance traveled by car in one gallon.
_____________________________________________
Given
time = 12 hours
speed = 64 miles per hour
we know distance = speed * time
distance = 12*64 = 768 miles.
Thus, car ran 768 miles.
given that car gets an average of 32 miles per gallon.
It means in one gallon gasoline car travels 32 miles.
let the gallons used be x
in 1 gallon gasoline car travels 32 miles.
in 1*x gallon gasoline car travels 32*x miles = 32x
Thus, 32x should be equal to 768 miles as car traveled that much only
32x = 768 miles
x = 768/32 = 24
Thus, gallons of gasoline used is 24.
Cost of 1 gallon gasoline = $3.25
since, gallons found is 24, we multiply lHS and RHS by 24
Cost of 1 *24= 24 gallon gasoline = $3.25*24 = $78
Thus,
cost of 24 gallon is $78 which will be the gasoline cost for the trip.
What fraction accurately represents the decimal 2.3
Answer:
23/10. or 2 3/10
Step-by-step explanation:
2. The seventh grade class is putting on a variety show to raise
money. It cost $700 to rent the banquet hall that they are going to
use. If they charge $15 for each ticket, how many tickets do they
need to sell in order to raise at least $1000?
Answer:
67
Step-by-step explanation:
15 x 10 = 150
150 x 6 = 900
15 x 7 = 105
900 + 105 = 1005
closest to 1000 without decimals
with decimals 66.6666666667
Please mark brainliest
$1000 ÷ 15 = 66.67 ~ 67 tickets
Sam wants to buy some new shoes. The shoes normally cost $79.99, but with her employee discount they only cost $51.99. How much was her employee discount? (to the nearest percent) _______ % off
Answer:
35%
Step-by-step explanation:
79.99-51.99=29/79.99-.35 rounded
A. 20% increase
B. 10% increase
C. 20% decrease
D. 10% decrease
Answer:
C. 20% decrease
Step-by-step explanation:
[tex]Saturday = 50\\Sunday =40\\\\50-40 =10\\\\\frac{10}{50} \times \frac{100}{1} \\= \frac{1000}{50} \\\\Cross \:cancel common \:factor; 50\\\\= 20[/tex]
what is the slope of (-5,4) and (7,8)
is this a. a function but no one-to-one B. a one-to.one C. not a function
===================================================
Explanation:
It is a function because it passes the vertical line test. We cannot draw a single vertical line through more than one point on the red curve. Any x input leads to exactly one and only one y output.
A similar test is the horizontal line test. We cannot draw a single horizontal line through more than one point on the red curve, so this red curve passes the horizontal line test. Each y is only paired with one x value only. This helps set up an inverse function.
-----------
In short:
If the curve passes the vertical line test, then we have a function
If the curve passes the horizontal line test, then it is one-to-one.
Given the following funtions: f (x) = x^2 g (x) = x-3 find the composition of the two functions and show your process: f (g(x))
Answer:
Step-by-step explanation:
g(x)= x - 3
f(x - 3) = (x - 3)^2 = x^2 - 6x + 9
Please answer my question i will mark brainlyest.
Step-by-step explanation:
2 * 6 - 15 / 3 * 8
= 12 - 5 * 8
= 12 - 40
= -26.
8x + 20 = 36
8x = 16
x = 2.
Would anyone happen to know this?! I need help please ASAP
Answer:
nope
Step-by-step explanation:
-2x-10x+12=18
Help me plz
Answer x= - [tex]\frac{1}{2}[/tex]
Step-by-step explanation: -12x + 12 = 18 move constant to the right hand side and change its sign ( its + 12 :0)
-12x = 18- 12 caculate 18-12
-12x = 6
then divide both sides then you will get -1/2
z−4/9−1/3=5/9 Enter your answer as a fraction in simplest form in the box. z =
Answer:
z=12/9 or 4/3 or 1 1/3
Step-by-step explanation:
1/3 needs to have a denominator of 9 so 3/9 because 3x3=9 and you have to multiply the numerator by 3 also
z-4/9-3/9=5/9
add -4/9 and -3/9 because you add two negative numbers
new equation
z-7/9=5/9
add 7/9 to 5/9
z=12/9 or 4/3 or 1 1/3
Find the value of X on the equation below. Please explain step by step and I will mark you brainliest.
g=x-c+y
g = x - c + y
First, let's add c to both sides.
g + c = x + y
Now, let's subtract y from both sides.
g + c - y = x
A very large book is numbered to 1 to 11521 How many digits are used to print all these page numbers
Answer:
46,499 digits
Step-by-step explanation:
Total pages of book = 11,521
9 pages numbered 1 - 9 that need 1 digit each = 9 × 1
= 9 digits
90 pages numbered 10 - 99 that need 2 digits each = 90 × 2
= 180 digits
900 pages numbered 100 - 999 that need 3 digits each = 900 × 3
= 2,700 digits
9000 pages numbered 1000 - 9999 that need 4 digits each = 9000 × 4
= 36,000 digits
1522 pages numbered 1000 - 11521 that need 5 digits each = 1522 × 5
= 7,610 digits
Total digits needed = 9 digits + 180 digits + 2,700 digits + 36,000 digits + 7,610 digits
= 46,499 digits
-2 (2x + 5) SIMPLIFY
I get one answer but my calculator gives me another pls help!!
Answer:
−2⋅(2x+5)
Step-by-step explanation:
If angle 1 and angle 2 form a linear pair and angle 1 is 18 degrees less than five times the measure of angle 2, then the angle 1 is _____ degrees
Answer:
Angle 1 is 147 degrees
Step-by-step explanation:
When two angles form a linear pair, then we have the intersection of two lines
So what this mean is that both angles lie on a straight line and the sum of both angles is 180.
Let the angle 2 be x
We are told that angle 1 is 18 degrees less than 5 times the measure of angle 2;
What we are saying here is that; angle 1 = 5x - 18
So let’s add both together to give 180
angle 1 + angle 2 = 180
x + 5x -18 = 180
6x = 180+ 18
6x = 198
x = 198/6
x = 33 degrees
But angle 1 is 5x -18 = 5(33) -18 = 165 -18 = 147 degrees