[tex]\large\sf \: x + \frac{3x}{2} = 35[/tex]
Find x
________________
[tex]\sf \: x + \frac{3x}{2} = 35 \\ \sf \: \frac{x}{1} + \frac{3x}{2} = 35 \: (take \: LCM \: = 2) \\ \sf \: \frac{2x}{2} + \frac{3x}{2} = 35 \\ \sf \: \frac{2x + 3x}{2} = 35 \\ \sf \: 2x + 3x = 35 \times 2 \\ \sf \: 5x = 70 \\ \sf \: x = \frac{70}{5} \\ \sf \: x = \boxed{ \underline{ 14}}[/tex]
_________________
Answer ⟶ [tex]\boxed{\bf{x= 14}}[/tex]
In a 4-digit perfect square, the first two digits are the same, and the last two digits are also the same. What is the value of this 4-digit number?
Answer:
7744Step-by-step explanation:
Let the number is in the form of aabb.
We can put it as:
aabb = 11*(100a + b) = 11*(99a + a + b)The number is a perfect square so it must be divisible by 11.
It is divisible by 11 if (a + b) is divisible by 11..
On the other hand, b = 0, 1, 4, 5, 6, 9 as the last digit of a perfect square.
Also, both a and b must be within (0,9) interval.
Considering the above conditions we have options:
a,b = 2,9 or 5,6 or 6,5 or 7,4The numbers are:
2299556666557744By testing we confirm only one of them is a perfect square:
7744Ian drives an electric car. He can drive 425 kilometres before he needs to stop and recharge his car. It takes 10 minutes to charge 50 kilometres. How long does Ian have to wait for his car to fully charge?
Answer:
85 minutes
Step-by-step explanation:
425/50=8.5 10 minute increments
8.5*10= 85 minutes
Which property does the following statement illustrate? (a+b)c = (b+a)c
A: associative
B: Commutative
C: Identity
D: None
Hey I want to make sure my answer for this question is right I think the answer is A but I want to e sure I did it right ༼ つ ◕_◕ ༽つ
Answer:
The correct choice is option C. 4xy√3y
Step-by-step explanation:
√12x^2y^3 + 2xy√3y
√12x^2y^3 = 2√3 xy√y
2xy√3y = 2√3 xy√y
2√3 xy√y + 2√3 xy√y
= 4√3 xy√y
= 4xy√3y
what is the area of the figure below?
Answer:
D. 72 [tex]in^2[/tex]
Step-by-step explanation:
The square is 36 in2
The 2 triangles are both 18 in2.
36+18+18=72 in2
I hope this helps!
pls ❤ and give brainliest pls
Answer:
Area is 72 in²
Step-by-step explanation:
= Area of three triangles + area of square.
[tex]{ \bf{ = 3 \times ( \frac{1}{2} b \times h) + (s \times s)}}[/tex]
substitute:
[tex]{ \sf{ = ( \frac{1}{2} \times 6 \times 6) + 2( \frac{1}{2} \times 6 \times 3) + (6 \times 6)}} \\ = { \sf{18 + 18 + 36}} \\ = { \sf{ {72 \: in}^{2} }}[/tex]
What is the surface area of the right prism?
92 ft2
46 ft2
48 ft2
70 ft2
(will mark brainliest <3)
=========================================================
Work Shown:
L = 8 ft = lengthW = 3 ft = widthH = 1 ft = heightSA = surface area of the rectangular prism (aka block or box)
SA = 2*(LW + LH + WH)
SA = 2*(8*3 + 8*1 + 3*1)
SA = 2*(24 + 8 + 3)
SA = 2*(35)
SA = 70 square feet
This is the amount of wrapping paper you would need to cover all six sides of the box. This assumes that there are no gaps or overlaps.
if f(x+1)=3x+4,find f(x) and f(3).
f(x+1)=3x+4
Let y be x+1 So x=y-1[tex]\\ \sf\longmapsto f(y)=3(y-1)+4[/tex]
[tex]\\ \sf\longmapsto f(y)=3y-3+4[/tex]
[tex]\\ \sf\longmapsto f(y)=3y+1[/tex]
[tex]\\ \sf\longmapsto f(x)=3x+1\checkmark[/tex]
[tex]\\ \sf\longmapsto f(3)[/tex]
[tex]\\ \sf\longmapsto 3(3)+1[/tex]
[tex]\\ \sf\longmapsto 9+1[/tex]
[tex]\\ \sf\longmapsto 10[/tex]
Boston wheel chair marathon how long would it take to run a 30 mile race
If the each side of equalaterial triangle is a cm. what is the area?
Step-by-step explanation:
[tex]area \: of \: a \: triangle = \frac{1}{2} \times base \times height \\ \\ base = \frac{a}{2} cm \\ {h}^{2} + {( \frac{a}{2} )}^{2} = {a}^{2} \\ \\ h = \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } \\ \\ area \: of \: triangle = \frac{1}{2} \times b \times h \\ = \frac{1}{2} \times \frac{a}{2} \times \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } \\ \\ = \frac{a}{4} \times \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } [/tex]
What is the difference of the two polynomials?
(9x2 + 8x) – (2x2 + 3x)
7x2 + 5x
7x2 + 11x
11x2 + 5x
11x2 + 11x
Answer:
The answer is 7x²+5x
Step-by-step explanation:
[tex]\sf{}[/tex]
♛┈⛧┈┈•༶♛┈⛧┈┈•༶
Which of the following rules describes the function graphed below?
Answer:
D
Step-by-step explanation:
Output = 3*input - 2. Observe the graph again
Let g(x) = f (x+1) - 2, find when g(x) = 12
I don't know how to evaluate this since I have both g(x) and an f(x).
Answer:
f(x +1 ) =14
Step-by-step explanation:
12= f(x +1) -2
f(x +1) = 12 +2
f (x+1 ) = 12
which statement is true
Please help 15 points! And brainlist! Hurry I need help right now!
Answer: quadrant 1
Step-by-step explanation:
the triangle will make 5 360° rotations and then one 180° rotation. we know this because 1980/360=5.5
Fill in the missing number in the equation.
Drop down answers: -2, 8, 15, or It is not possible to find the answer
9514 1404 393
Answer:
8
Step-by-step explanation:
The matrix being multiplied is the same in all cases, so we can "collect terms" in the usual way.
3A +5A = (3+5)A = 8A . . . . . . where A represents the 2×2 matrix
The missing number is 8.
16x + 90 = 2 ( 10x + 5 ) answer
Answer:
x = 20
Step-by-step explanation:
[tex]16x+90=2(10x+5)\\\\16x+90=20x+10\\\\90=4x+10\\\\80=4x\\\\20=x[/tex]
Find the area of ABCD
Answer:
Applying Heron's Formula
[tex]s=\frac{2.89+4.3+6.81}{2}[/tex]
[tex]s_1=7[/tex]
[tex]A_1=\sqrt{7(7-2.89)(7-4.3)(7-6.81)}[/tex]
[tex]A_1=10.56[/tex]
Now, [tex]s_2=\frac{6.81+8.59+7.58}{2}[/tex]
[tex]s_2=11.49[/tex]
[tex]A_2=\sqrt{11.49(11.49-6.81)(11.49-8.59)(11.49-7.59)}[/tex]
[tex]A_2=24.69[/tex]
Total Area:
[tex]10.56+24.69[/tex]
[tex]=35.25[/tex]
OAmalOHopeO
Question : A miniature model of a statue is made using the scale 1 in = 10 ft. The height of the
miniature model is 7 in. What is the actual height of the statue?
1012
ROUP
Answer:
70 feet
Step-by-step explanation:
If the miniature model has size of 1 inch, the real statue will be 10 feet in size. So if the model is 7 inch in size, the real statue will be 70 feet in size.
Find m/ELM if m/ELM = 15x - 1, m/KLE = 20°, and m/KLM = 17x - 1.
Answer:
∠ ELM = 149°
Step-by-step explanation:
∠ KLM = ∠ KLE + ∠ ELM , substitute values
17x - 1 = 20 + 15x - 1
17x - 1 = 15x + 19 ( subtract 15x from both sides )
2x - 1 = 19 ( add 1 to both sides )
2x = 20 ( divide both sides by 2 )
x = 10
Then
∠ ELM = 15x - 1 = 15(10) - 1 = 150 - 1 = 149°
Five children share 24m of ribbon equally.
How much ribbon will each child get?
Write your answer as a mixed number.
Answer: 4 8/10m
Explanation:
Total Ribbon = 24m
Total children = 5
Ribbon each student gets = 24÷5
= 4.8
Now 4.8 = 48/10
4 8/10m is the mixed fraction
So each child will get 4 8/10m ribbon
Must click thanks and mark brainliest
If five children share 24m of ribbon equally then each children gets [tex]4\frac{4}{5}[/tex] of ribbon.
What is Division?A division is a process of splitting a specific amount into equal parts.
Given that five children share 24m of ribbon equally.
We have to find the amount of ribbon each children gets.
To find this we have to divide the length of the ribbon with the number of children.
Twenty four divided by five.
24 is the dividend and five will be the divisor
24/5
Now we have to write this in mixed fraction
[tex]4\frac{4}{5}[/tex]
Hence, if five children share 24m of ribbon equally then each children gets [tex]4\frac{4}{5}[/tex] of ribbon.
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One of the legs of a right triangle measures 11 cm and its hypotenuse measures 13 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
cm
Submit Answer
attempt 1 out of 2
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Answer:
17.02939
Step-by-step explanation:
which one of the following has a terminating decimal expansion?
a.5/64
b.8/9
c.14/15
d.1/12
Answer:
b. 8/9
Step-by-step explanation:
step by step explanation
Answer:
A
Step-by-step explanation:
Because if you were to out each fraction into a calculator you see that b,c, and d have a never ending decimal. The only fraction that does end in option A, therefore ur answer is option a
Help Pls if you want!!!!
Answer:
Its 2.5 percent ladd enjoy
Step-by-step explanation:
Answer:
2 per team and 2 left
Step-by-step explanation:
10 can't split into 4 evenly so, you can only give 2 to each team causing there to be 2 left.
4*2 = 8
10-8 = 2
SOMEONE HELP ME PLEASE
Answer:
Step-by-step on:ơ
Help me in this one pls I give 15 pts
Answer:
I think option b i.e 7 is right but not sure
Select the two values of x that are roots of this equatio 2x - 5 = - 3x ^ 2
alright I can help!
so to find the two values of x that are roots of the equation we need to put the variables all on one side so that we can set up the quadratic formula.
3x^2+2x-5=0 (the -3x^2 becomes positive when moved across the equal sign)
now we can set up the quadratic formula. the equation is x= (-b+-(sqrt of b^2 -4ac))/ 2a
so now we just plug in our variables.
x= (-2+-(sqrt of 2^2 -4×3×-5))/ 2×3
x= (-2+-8)/6
now we just seperate the equations so that we have the two roots. and then just solve!
x= (-2-8)/6 -> x= -5/3
x= (-2+8)/6 -> x=1
hope this helps! best wishes and best of luck!!
find the coefficient of mt in the expansion of 4m(3n-2t)+3t(3t-2m)
Answer:
-14
Step-by-step explanation:
12mn-8mt+9t²-6mt
12mn+9t²-14mt
the coefficient of mt is -14
The coefficient of the given expansion 4m(3n-2t)+3t(3t-2m) will be -14.
What is expansion?Expanded form is the term used in mathematics to refer to the process of expanding a number to convey the value of every digit and place value.
When a mathematical object is increased by a multiplier that is bigger in actual values than one, an expansion follows.
In another word, if you solve a factor by opening the bracket then you will go to get on some expanded term called expansion.
In mathematics, all real-life problems can be converted into equations which are sometimes in form of factors and we need to expand them to create solutions.
Given that
⇒ 4m(3n-2t)+3t(3t-2m)
⇒ 12mn -8mt + 9t² - 6mt
⇒ 12mn + 9t² + 14 mt
Hence it's clear that the coefficient of mt will be -14.
For more information about the expansion
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In ΔABC, ∠A = 50° and the external bisectors of ∠B and ∠C meet at O as shown in figure. The measure of ∠BOC is
Answer:
17
Step-by-step explanation:
Look at Triangle ABC, The rays meet at line BC and they are both from the interior point A. So this means that AB=AC. This makes ABC a isosceles triangle. Using the isosceles triangle theorem, Angle B and Angle C measure is equal to each other so
[tex]50 + x + x = 180[/tex]
[tex]50 + 2x = 180[/tex]
[tex]2x = 130[/tex]
[tex]x = 65[/tex]
This means angle b and C of the triangle ABC measure is 65.
External bisector bisect a figure that it makes the original angle split into half that they are equal to each other.
This means the angle below Angle B and angle C measure is 32.5. We can find the measure of Angle B and C in triangle BOC. This is a isosceles triangle as well so
[tex]32.5 + 65 + x = 180[/tex]
[tex]98.5 + x = 180[/tex]
[tex]x = 81.5[/tex]
Angle C is 81.5 as well so
[tex]81.5 + 81.5 = 163[/tex]
Find angle o
[tex]180 - 163 = 17[/tex]
What is the difference between-5and2
Answer:
7
Step-by-step explanation:
Consider the absolute value of the difference , that is
| - 5 - 2 | = | - 7 | = 7
or
| 2 - (- 5) | = | 2 + 5 | = | 7 | = 7
Answer:
7
Step-by-step explanation:
Difference is - sign so the equation is: 2- -5 which is 7. Or
think a number line, -5 is 5 spots to 0, then two more spots to 2 so 5+2=7
show the work please and thank you
Answer:
Option a, 13
if you solve it, you get 13 as the answer
³√(5x-1)=4
or, 5x-1=64
or, 5x=65
or, x=13