Answer:
50,20
Step-by-step explanation:
let the two numbers be x and y respectively.
According to the question,
y=2/5 times of x
Or,
y= 2x/5 ..........(1)
Again,
or, x+y=70
or, x+2x/5=70
or, (5x+2x)/5=70
or, 7x=350
therefore x=50
putting the value of y in equation (1)
y=2x/5
y= (2×50)/5
therefore, y=20
Answer:
x = 175
Step-by-step explanation:
given:
A number is 2 /5 times another number. Their sum is 70.
find: the numbers (coefficient)
solution:
cross multiply
2 ( x ) = 70
5
2 (x) = 70 (5)
2 (x) = 350
x = 350
2
x = 175
check:
2 ( x ) = 70
5
2 ( 175 ) = 70
5
350 = 70
5
70 = 70
A rock has a density of 4.56 g/mL. If it weighs 235 g, what is its volume?
Answer:
51.54mL
Step-by-step explanation:
Density can be defined as the mass per unit volume of a particular object , substance or compound.
Density tell us how heavy or dense that object, substance or compound is.
Mathematically, the formula for Density = Mass(grams)/Volume(ml or cm³)
In the above question, a rock has the following criteria:
Density = 4.56 g/mL.
Mass = 235 g
Volume is unknown.
Imputing this values into the formula for Density, we have:
4.56g/mL = 235g/ Volume
Cross Multiply
4.56g/mL × Volume = 235g
Volume = 235g/4.56g/mL
Volume = 51.535087719mL
Approximately, the volume of the rock to 2 decimal places = 51.54mL
The list below shows the amount of money Hannah earned mowing lawns for the past five weeks.
$40, $15, $20, $40, $35
Which measure shows that the amount of money she earned varied?
Answer:
the answer is mean
Step-by-step explanation:
Point B lies on AC between A and C. If AB = 8 and AC = 10, find BC.
A. 2
B. 8
C. 10
D. 18
Answer:
BC = 2
Step-by-step explanation:
If B lies on AC it makes the line segments AB and BC.
AC=10
AB+BC=AC
AB+BC=10
8+BC=10
BC=2
The value of BC is 2 which is the correct answer that would be an option (A).
What is a Line Segment?A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.
The figure given below shows a line segment AC , where the length of line segment AC refers to the distance between its endpoints, A and C.
Point B lies on AC between A and C.
A______________B______________C
Given that B lies on AC it makes the line segments AB and BC.
AB = 8 and AC = 10
⇒ AB + BC = AC
⇒ AB + BC = 10
⇒ 8 + BC = 10
⇒ BC = 2
Therefore, the value of BC is 2 which is the correct answer that would be an option (A).
Learn more about the line segment here:
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The manager of a factory collected data in order to analyze the relationship
between the number of hours of training a worker receives and
the worker's error rate. The line of best fit for the collected data is y = 0.1 -0.005x, where x is the number of hours of training a worker
receives and y is the error rate.
What approximate error rate should the manager expect for a worker who receives 6 hours of training?
O A. 0.01
OB. 0.07
OC. 0.13
OD. 0.17
Answer:
B. 0.07
Step-by-step explanation:
You can use the "Desmos Graphing Calculator". It helps a lot.
Answer:
B
Step-by-step explanation:
can someone help me please
[tex]\large{\bf Step-by-step~explanation:}[/tex]
To simplify this expression, we combine all the like terms. We cannot solve for x because there is no equal sign and/or no value for x.
Equation: (10x² - 10x - 6) + (x + 6)
[tex]\bf Step~1:[/tex]
-10x and x are like terms. Remember: there is an invisible 1 behind the variable x. We add these like normal numbers.
[tex]\bf -10x+1x=-9x[/tex]
[tex]\bf Step~2:[/tex]
-6 and 6 are also like terms. Again, we add them as written.
[tex]\bf -6+6=0[/tex]
Since our answer is 0, we do not have to write it in our simplified expression.
[tex]\bf Step~3:[/tex]
Now, let's add the terms together. Since 10x² doesn't have any like terms, we just let it be. We take our previous number, -9x, and we add it to 10x².
[tex]\bf 10x^2+-9x[/tex]
[tex]\large\boxed{\bf Our~final~answer:10x^2-9x}[/tex]
Which lists all of the y-intercepts of the graphed
function?
O (0,-3)
O (-1,0) and (3,0)
O (0, -1) and (0,3)
O (-1,0), (3, 0), and (0, -3)
From the graph, we can see that the graph crosses the y-axis at (0,-3) Hence, the correct answer is A (0,3).
What is the y-intercept of a function?The intersection of the graph of the function with the y-axis gives the y-intercept of that function.
The y-intercept is the value of y on the y-axis at which the considered function intersects it.
Assume that we've got: y = f(x)
At y-axis, we've got x = 0, so putting it will give us the y-intercept.
Thus, y-intercept of y = f(x) is y = f(0)
The y-intercept is where a line crosses the y-axis, so this is the point where x = 0.
From the graph, we can see that the graph crosses the y-axis at (0,-3)
Hence, the correct answer is A (0,3).
Learn more about y-intercept here:
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f(x) = -3x + 4; Find f(2), f(0), and f(-4). (Select all that apply.) f(2)= 10 f(2) = -2 f(0) =4 f(0) = 0 f(-4) = 16 f(-4) = -8
Answer:
(f)2=-2, (f)0=4 and (f)-4=6
Step-by-step explanation:
f(2)= -3(2)+4
-6+4=
-2
f(0)=-3(0)+4
=4
f(-4)=-3(-4)+4
-6+4
=
-2
I hope this helps.
Tracy bought 5 trays of plants for $105.
Each tray contained 12 plants.
Each plant cost the same amount.
Plants can be purchased individually.
How much more money will Tracy need to spend for 15 additional plants?
Answer:
8.75
Step-by-step explanation:
Answer:
$1150
Step-by-step explanation:
If 5stray cost $105
X=$105 ×15 =$1575
The picture shows the Alamillo bridge in Seville, Spain. In the picture m<1=58 and m<2=24. Find the measure of the supplement of <1= and of <2. Someone please help!
Answer:
Supplement of <1 = 122°
Supplement of <2 = 156°
Step-by-step explanation:
Two pairs of angles are said to be supplementary, if their measures in degrees add up to give us 180°. A supplement of am angle is simply 180° - the measure of that angle.
Given that meadure of angle 1 = 58°, the supplement of angle 1 = 180° - 58° = 122°
Also, if the measure of angle 2 = 24°, the supplement of angle 2 = 180° - 24° = 156°.
Thus:
Supplement of <1 = 122°
Supplement of <2 = 156°
WORTH 35 POINTS :))
13. What is the sum of the solutions of the 2 equations
below?
8x = 12
2y + 10 = 22
A. 23
B. 7
7 1 / 1
C. 9
D. 10
E. 173
Answer:
7.5
Step-by-step explanation:
8x÷4=12÷4
2x=3
x=3/2=1.5
2y+10=22
2y=12
y=6
1.5+6=7.5=7½
Answer:
7.5 or 7½
Step-by-step explanation:
8x = 12
x = 12/8 (12/4 / 8/4)
x = 3/2
x = 1.5
2y + 10 = 22
2y = 12
y = 6
1.5 + 6 = 7.5 = 7½
p=s1t-s2t. Which equation sauce for tea........................
Answer:
f444444444444444444444444Step-by-step explanation:
f
Find the interquartile range for the data. {50, 46, 56, 55, 54, 51, 45, 50, 47}
Answer:
51
Step-by-step explanation:
I think the answer is 51 because you have to find the number between the first three to the middle
Answer:8
Step-by-step explanation:
Michael drove 0.5 miles. How many inches did he travel?
Answer:
31680 inches
Step-by-step explanation:
To find miles to inches, multiply by 63360 to get the answer.
0.5 x 63360 = 31680
So, he traveled 31680 inches.
How much is 571,863 rounded to the nearest thousand?
Answer:
572000
Step-by-step explanation:
571863 is rounded of to 572000
Because 8 in 571863 is greater than 5
And thus 1 in 571863 changes to 2 with the rest on the right being zero.
is the quotient of two rational numbers always a rational number explain
Find the distance between (-4,5) and (4,0) round to the nearest hundredth
Answer:
Solution: 9.43
Step-by-step explanation:
Remember that we can determine the distance between any two points using the distance formula, d = √(x₂ - x₁)² + (y₂ - y₁)². Let's substitute known values to determine the distance:
[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2},}\\ \\\\\mathrm{d}= \sqrt{(4 - (-4))^2 + (0 - 5)^2} = \sqrt{(4 + 4)^2 + (- 5)^2} \\= \sqrt{(8)^2 + 25} = \sqrt{64 + 25} = \sqrt{89}[/tex]
Hence the distance between the points (-4,5) and (4,0) is exactly √89. The question asks us to round off to the nearest hundredth, so your solution will be approximated off to two digits → 9.43.
Dave is helping his grandmother make trail mix. His grandmother asks him to add 1/5 cup of fruit for 1/3 every cup of nuts.
To satisfy his grandmother’s request, Dave must mix
cups of fruit for a single cup of nuts.
Answer:
3/5 cup of fruit for every 1 cup of nuts
For the diagrams, find the following measures.
X=
DCB=
ABC=
3 over 3 - square root 5
Answer:
-1.236.
Step-by-step explanation:
3/3 = 1.
√5 = 2.236.
1.000 - 2.236 = -1.236.
the answer is negative because the smaller number is subtracting the larger number..........u just subtract the normal way,( the larger number take away the smaller number), but u should insert a negative sign to the answer.
PLEASE HELP! WILL GIVE BRAINLIEST!
Answer:
(18+21+17+x)÷4=20
x=24 students
Step-by-step explanation:
(18+21+17+x)÷4=20
(56+x)÷4=20
56+x=20*4
56+x=80
x=80-56
x=24
10 less than a number is equal to 12
Answer:
The number is 22
Step-by-step explanation:
Let x be the number
Plug x in: x - 10 = 12Add 10 to each side, so it now looks like this: x = 22Answer:
22
Step-by-step explanation:
Let the number be x:
x - 10 = 12
x = 12 + 10
x = 22
The answer is 22
Plz help me answer this
Answer:
sure
Step-by-step explanation:
Karims wage was increased from £210 to £225 per week.What was the percentage increase,to one decimal place? please help iam stuck
Answer: 7.1
Step-by-step explanation: 210/255 • x/100. This equals to 7.142857142857142.
Solve the equation.
-4+x= 12
Answer:
x = 16
Step-by-step explanation:
Get x alone on one side.
-4 + x = 12
(-4 + x) + 4 = 12 + 4
x = 16
simply 12 to the power of 16 over 12 to the power of 4
Answer:
12^12
Step-by-step explanation:
If the exponent bases are the same you can subtract the exponents. Numerator minus denominator. (16-4=12)
M=2*2*3*5*5 and N=2*2*2*3*3*7 find the largest number that divides exactly M and N please
Answer:
6
Step-by-step explanation:
Given the prime factors of both numbers
Then the greatest common factor GCF is the product of the common factors
Both 2 and 3 are common factors, thus
2 × 3 = 6 is the GCF
Please Help! Thank u!
16=4
49=7
289=17
Step-by-step explanation:
Point Fis on line segment EG . Given FG = 4 and EF = 9 determine the length EG
Answer:
EG is 13.
Step-by-step explanation:
So we have a line segment EG.
Point F is somewhere on EG.
And we are given that FG is 4 and EF is 9.
Therefore, the length of EG will be the combined lengths of FG and EF. In other words:
[tex]EG=EF+FG[/tex]
Substitute 9 for EF and 4 for FG. Thus: "
[tex]EG=9+4[/tex]
Add:
[tex]EG=13[/tex]
So, the length is EG is 13.
And we're done!
Name a ray with endpoint A in the figure
Answer:
ray AD
Step-by-step explanation:
Using inductive reasoning, what number is the most reasonable conjecture for the next number in the pattern 27,23,19,15,
Answer:
11
Step-by-step explanation:
Each number in the sequence decreases by 4, so the next reasonable number would be 11 (15-4=11)