Answer:
You need to calculate (# of Boys) / (# of Girls + # of Boys). The largest ratio will be the biggest number
Step-by-step explanation:
Example:
• 55 Boys and 35 Girls
• Boys Ratio = (55) / (55 + 35)
• Boys Ratio = 55 / 90
• Boys Ratio = 61%
A triangle has three angles of 36°, 34°, and 110°.
A. equilateral B. obtuse C. acute D. right
Answer:
Obtuse Triangle.
Step-by-step explanation:
An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees. In this case, 110° is more than 90°. So, its an obtuse angle. If one angle of the triangle is obtuse, then the other two angles with always be acute.
Hence, this is an obtuse triangle
The triangle with the given measures is obtuse angle triangle. Therefore, option B is the correct answer.
What is an obtuse angle triangle?An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees. In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°.
Given that, a triangle has three angles of 36°, 34°, and 110°.
Here, one of the angle measure more than 90°, that is 110°.
Sum of remaining two angles is 36°+34°
= 70°
Therefore, option B is the correct answer.
Learn more about the obtuse angle triangle here:
https://brainly.com/question/1581660.
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solve each inequality and show work.
1) 4x - 2 > 2x + 8
2) -3x - 6 > 4x - 20
3) 4(x + 1) < 3x - 2
4) 2x + 3 + x < -2x + 1 + 12
5) 2(x - 1) > 4x + 4 - 5x
6) 2 + 4x -7 < 8x + 2 - 2x
Answer: Use the app photo math, you just take a picture and it gives you the answer and shows you the steps:)
1) x> 5
2) x< 2
3) x<-6
4) x< 2
5) x> 2
6) x> - 7/2
Step-by-step explanation:
See the images below for the work:) The images will be in order with the number the first problem will be the answer to the first.
Answer:
[tex]\sf 1)\:4x - 2 > 2x + 8[/tex]
Add 2 from both sides:
[tex]\sf 4x-2+2>2x+8+2[/tex]
[tex]\sf 4x>2x+10[/tex]
Subtract 2x from both sides:
[tex]\sf 4x-2x>2x+10-2x[/tex]
[tex]\sf 2x>10[/tex]
Divide both sides by 2:
[tex]\sf \cfrac{2x}{2}>\cfrac{10}{2}[/tex]
[tex]\boxed{\sf x>5}[/tex]
_______________________________
[tex]\sf 2)\: -3x - 6 > 4x - 20[/tex]
Add 6 from both sides:
[tex]\sf -3x-6+6>4x-20+6[/tex]
[tex]\sf -3x>4x-14[/tex]
Subtract 4x from both sides:
[tex]\sf -3x-4x>4x-14-4x[/tex]
[tex]\sf -7x>-14[/tex]
Multiply both sides by -1:
[tex]\sf\left(-7x\right)\left(-1\right)<\left(-14\right)\left(-1\right)[/tex]
[tex]\sf 7x<14[/tex]
Divide both sides by 7:
[tex]\sf \cfrac{7x}{7}<\cfrac{14}{7}[/tex]
[tex]\boxed{\sf x<2}[/tex]
_______________________________
[tex]\sf 3)\: 4(x + 1) < 3x - 2[/tex]
Apply distributive property:
[tex]\sf 4x+4<3x-2[/tex]
Subtract 4 from both sides:
[tex]\sf 4x+4-4<3x-2-4[/tex]
[tex]\sf 4x<3x-6[/tex]
Subtract 3x from both sides:
[tex]\sf 4x-3x<3x-6-3x[/tex]
[tex]\boxed{\sf x<-6}[/tex]
_______________________________
[tex]\sf 4)\: 2x + 3 + x < -2x + 1 + 12[/tex]
Combine like terms:
[tex]\sf (2x+x)= 3x[/tex]
[tex]\sf( 1+12)=13[/tex]
[tex]\sf 3x+3<-2x+13[/tex]
Subtract 3 from both sides:
[tex]\sf 3x+3-3<-2x+13-3[/tex]
[tex]\sf 3x<-2x+10[/tex]
Add 2x from both sides:
[tex]\sf 3x+2x<-2x+10+2x[/tex]
[tex]\sf 5x<10[/tex]
Divide both sides by 5:
[tex]\sf \cfrac{5x}{5}<\cfrac{10}{5}[/tex]
[tex]\boxed{\sf x<2}[/tex]
________________________________
[tex]\sf 5)\: 2(x - 1) > 4x + 4 - 5x[/tex]
Combine like terms:
[tex]\sf (4x-5x)=-x[/tex]
[tex]\sf 2\left(x-1\right)>-x+4[/tex]
Apply distributive property:
[tex]\sf 2x-2>-x+4[/tex]
Add 2 from both sides:
[tex]\sf 2x-2+2>-x+4+2[/tex]
[tex]\sf 2x>-x+6[/tex]
Add x from both sides:
[tex]\sf 2x+x>-x+6+x[/tex]
[tex]\sf 3x>6[/tex]
Divide both sides by 3:
[tex]\sf \cfrac{3x}{3}>\cfrac{6}{3}[/tex]
[tex]\boxed{\sf x>2}[/tex]
_______________________________
[tex]\sf 6)\: 2 + 4x -7 < 8x + 2 - 2x[/tex]
Subtract 2 from both sides:
[tex]\sf 2+4x-7-2<8x+2-2x-2[/tex]
[tex]\sf 4x-7<8x-2x[/tex]
Combine like terms:
[tex]\sf (8x-2x)=6x[/tex]
[tex]\sf 4x-7<6x[/tex]
Add 7 from both sides:
[tex]\sf 4x-7+7<6x+7[/tex]
[tex]\sf 4x<6x+7[/tex]
Subtract 6x from both sides:
[tex]\sf 4x-6x<6x+7-6x[/tex]
[tex]\sf -2x<7[/tex]
Multiply both sides by -1:
[tex]\sf \left(-2x\right)\left(-1\right)>7\left(-1\right)[/tex]
[tex]\sf 2x>-7[/tex]
Divide both sides by 2:
[tex]\sf \cfrac{2x}{2}>\cfrac{-7}{2}[/tex]
[tex]\boxed{\sf x>-\frac{7}{2}}[/tex]
_______________________________________
Complete the table below.
Answer:
4 , 2, 8, 4 ..............
HELP PLZZ HURRY IMA GET A ZERO
Answer:
m∠G= 180° - ( 59+77 )°
Step-by-step explanation:
A clock runs 5 minutes slow every hour. The clock was set
at the proper time 12 hours ago. The correct time now is 3 p.m.
How many minutes will elapse before the clock indicates 3 p.m.?
What is the quotient of 6.58* 10^6 and 4.7×10^3
expressed in scientific notation?
Answer:
1.4 · 10³
Step-by-step explanation:
6.58 · [tex]10^{6}[/tex] ÷ 4.7 · 10³
6.58 ÷ 4.7 = 1.4
[tex]10^{6}[/tex] - 10³ = 10³
1.4 · 10³
Answer:
3.0926 x 10^10
Step-by-step explanation:
Help need help cause I don’t understand stand
Answer:
A
Step-by-step explanation:
just cut off one side and add it to the other thats how you solve paralellograms
Answer: 6 x 7?
Step-by-step explanation: To find the area of a parallelogram it's base times height.
2 regular pizzas and 3 small pizzas cost £22 6 regular pizzas and 12 small pizzas cost £78
find the cost of one each
Answer:
Regular pizza: £5
Small pizza: £4
Step-by-step explanation:
Let x = regular pizza
Let y = small pizza
6x + 12y = 78
2x + 3y = 22
I'm going to use elimination method to solve for y
6x + 12 y = 78
-3(2x + 3y = 22) = -6x -9y = -66
Eliminate the x
3y = 12
Divide both sides by 3
3y/3 = 12/3
y = 4
Substitute the y in one of the original equations
2x + 3(4) = 22
2x + 12 = 22
Subtract both side by 12
2x + 12 - 12 = 22 - 12
2x = 10
Divide both sides by 2 to solve for x
2x/2 = 10/2
x = 5
Answer:
small $3.4 regular $6.2
Step-by-step explanation:
2r +3s = 22.6
6r *12s = 78
Multiply the first by -3
-6r -9s = -67.8
6r +12 s = 78
Add both (6r will be cancelled)
3s = 10.2
s = 3.4 small = 3.4 (3 small = 10.2)
2r +10.2 = 22.6
2r = 12.4
r = 6.2
Evaluate the radical.
3√512
Enter your answer in the box.
Answer:
The Answer is 8.
Its the only Number that Multiplies itself three times to give 512.
So the Cube root of 512... Should be 8.
Answer:
8.
Step-by-step explanation:
512 = 64* 8
∛512 = ∛64 * ∛8
= 4 * 2
= 8.
PLS HELPP GUYS !!!! in a hurry !!!!!!!
Answer:
A because it uses all of domains
Step-by-step explanation:
You deposit $6000 in an account that earns 3% annual interest. Find the balance after 6 years if this interest is
compounded with the given frequency.
(1, -3) and (0,-1)
Equation: y=-2x-1
Slope:-2
Y-intercept:___?
Answer:
-1
Step-by-step explanation:
Is it possible to find two data sets A and B such that A has a greater median and mode,
while B has a greater average and range? If you think the answer is yes, provide an example. If you think the answer is no, explain why not.
Answer:
54
Step-by-step explanation:
You add 5+19 and divide my 2
A. Graph B and Graph D
B. Graph A only
C. Graph C and Graph D
D. Graph D only
Answer:
A is correct answer
Step-by-step explanation:
like me
The perimeter of a right -angled triangle is 72 cm . Its side are in the ratio 3 : 4: 5.Work out the longest length of the triangle.
Answer:
The longest length is 30 cm
Step-by-step explanation:
Mathematically, the perimeter of a triangle is simply the sum of the lengths of its three sides
So, what we have to do here is divide the perimeter in the given ratio to get the side lengths
since 5 is the biggest of the numbers in the ratio, it represents the largest length value
so we have this as;
(3 + 4 + 5) = 12
So that would be;
5/12 * 72
= 5 * 6 = 30
………………………………………………….
Answer:
Tan(Ф) = [tex]\frac{12}{5}[/tex]
Step-by-step explanation:
Tan(Ф) = [tex]\frac{opposite}{adjacent}[/tex]
Tan(Ф) = [tex]\frac{12}{5}[/tex]
Hope this helps!
Enter an estimate. Round each mixed number to the nearest whole in your estimate
Answer:
1. 4-2=2
2.2 10/21
Step-by-step explanation:
2p Determine the value of a such that the system of equations below would have an infinite number of solutions?
18x + 12y = 36
ax – 8y =- 24
PLEASE HELP! No random links.
Answer:
B and F are non-statistical questions
Step-by-step explanation:
B is asking how many years until you are 16; this is not statistical because it just a fact. F is pretty much the same because it's just asking a subjective fact-like question.
Statistical questions ask for a collection of varying data. If there is only one data point, it is non-statistical.
Jackson recorded the growth of a plant over 10 weeks. The equation y=0.25x+4 represents the height in inches over the time in weeks. How tall will the plant be after 5 weeks? How tall will it be after 12 weeks? (PLEASE HELP)
Answer:
5.25 inches after 5 wks
7 inches after 12 wks
Step-by-step explanation:
after 5 weeks: y = .25(5) + 4 which is 5.25 inches
after 12 weeks: y = .25(12) + 4 which is 7 inches
320 divided by 60=
Will give brainliest
Answer:
5.33333 (repeating)
Step-by-step explanation:
Answer:
5.333333 and the 3 is infinite.
Step-by-step explanation:
HELP ASAP
I need someone to help please I need to make my mom proud
Answer:
perimeter =52cm
hope it helps.
stay safe healthy and happy.Answer:
52 cm (second opinion)
Step-by-step explanation:
add all the sides
find the surface area. round to the nearest hundredth when necessary.
Answer:
The area of the shape is 122.30 cm^2
Step-by-step explanation:
To calculate the surface area, we identify the side shapes
We have this as;
a rectangle that measures 11 cm by 3 cm, a rectangle that measures 3 cm by 6 cm, a rectangle that measures 8 cm by 3 cm, 2 triangles ( base and top) that has a height of 4.3 cm and a base of 11 cm
The area of the rectangles is simply the product of the side lengths
The area of the triangles is the product of the base and the height divided by 2; but since we have 2 exact triangles, we can simply multiply the base and the height to serve as the area of both
Thus, we have the area of the shape as follows;
(11 * 3) + (3 * 6) + (8 * 3) + (4.3 * 11)
= 33 + 18 * 24 + 47.3
= 122.30 cm^2
5. Subtract using the zero principle.
b) (2y- * - 3y) - (-2x + y)
Answer:
4x + 2y
Step-by-step explanation:
( 2x - - 3y ) - ( - 2x + y )
→ Simplify
2x + 3y + 2x - y
→ Collect x and y terms
4x + 2y
list the planets in order from least to greatest
Only give me an answer if you know the answer please
Answer:
Uranus, Neptune, Saturn, Jupiter
Step-by-step explanation:
l
X + 2x - 7/4=1 - x/2 -x ayudaaaaa
Answer:
|x| - |-x| = 0
Step-by-step explanation:
Answer:
no se
Step-by-step explanation:
no se
find the length of CD.
Solve 10^(x + 2) = 34
Answer:
-.4685
Step-by-step explanation:
[tex]x^y=z\\y=log_zy\\10^{x+2}=34\\x+2=log_{10}34\\x+2=log34\\x+2=1.531478917\\x=-.468521083[/tex]
A jug contains 1560 no of Apple juice in it. How many will each child get if 12 children share juice equally?
Answer:
130
Step-by-step explanation:
total apple juice= 1560
if 12 children share juice equally
they get
=1560/12
= 130
(11.5) - (-11.5)
Jamal says he thinks the answer is 23. His friend, Reggie, claims the
answer will be 0.
Do you agree with either of them?
explain as long as you can
Answer:
Jamal is correct.
Step-by-step explanation:
(11.5) − (−11.5)
=11.5 − (−11.5)
=11.5 + 11.5
=23