Answer:
56
Step-by-step explanation:
Given that:
Number of girls = 3
Number of boys = 4
Each student makes 8 paper airplanes.
To find:
The total number of airplanes = ?
Solution:
There can be two ways to find the total number of airplanes.
Method 1:
Keep on adding the number of airplanes for each student.
There are a total of 3+4 = 7 number of students.
First student makes = 8 airplanes
Second student makes = 8 airplanes
Third student makes = 8 airplanes
Fourth student makes = 8 airplanes
Fifth student makes = 8 airplanes
Sixth student makes = 8 airplanes
Seventh student makes = 8 airplanes
Total number of airplanes = 8 + 8 + 8 + 8 + 8 + 8 + 8 = 56
Method 2:
Simply multiply number of airplanes each student makes with the number of students.
i.e. 8 [tex]\times[/tex] 7 = 56
Choose the correct pair of expressions to complete the solution of sin r +
37
2
2.
O COS X, 0
O -sin x,-1
O sin x,-1
O-COS X, 0
Answer:
sin x, –1
Step-by-step explanation:
did on edge
Monique sells nut mixes . She uses * 1/4 of her supply of almonds to make a nut mix and of her 5/8 supply to make a fruit and nut mix. If Monique uses 28 pounds of almonds , how many pounds of almonds did she have in her supply ?
Answer:
32 pounds of almonds
Step-by-step explanation:
Monique sells nut mixes . She uses * 1/4 of her supply of almonds to make a nut mix and of her 5/8 supply to make a fruit and nut mix.
The total fraction of almonds that Monique used both for her but mix and fruit and nut mix =
1/4 + 5/8
Lowest common denominator is 8
1 × 2 + 5 × 1/8
2 + 5/8
= 7/8
If Monique uses 28 pounds of almonds
Let the total number of almonds = x
7/8 × x = 28
7x /8 = 28
Cross Multiply
7x = 8 × 28
x = 8 × 28/7
x = 32 pounds
Therefore, Monique initially had 32 pounds of almonds in her supply.
Evaluate the expression when m = -2
Answer:
-22
Step-by-step explanation:
(Is that Aleks?)
Plug it in.
(-2)^2 + 9(-2) - 8
= 4 + (-18) - 8
= -14 - 8
= -22
ABC is congruent to EDC, BC = 5 units and DE = 12 units. What is the length of AE?
Answer:
AE = 26 units
Step-by-step explanation:
Given that ABC is congruent to EDC, therefore, the corresponding angles and corresponding lengths of ∆ABC and ∆EDC are equal to each other in measure.
AE = 2(AC) = 2(CE) or
AE = AC + CE
Let's find the AC using Pythagorean Theorem, since the ∆s are both right triangles.
BA is congruent to DE.
Since DE = 12 units, therefore, BA = 12 units.
BC = 5 units (given)
Using Pythagorean Theorem:
AC² = BA² + BC²
AC² = 12² + 5² (substitution)
AC² = 144 + 25 = 169
AC = √169
AC = 13 units
Since ∆ABC = ∆EDC, therefore:
AE = 2(AC)
AE = 2(13)
AE = 26 units
What is the equation of the line?
help me I'll make brainiest
========================================
Explanation:
The ratio QR : RS : ST is equal to 1 : 4 : 5
This means we have the following three equations
QR = x RS = 4x ST = 5xFor some positive number x.
Note the ratio QR : RS : ST turns into x : 4x : 5x, which reduces to 1 : 4 : 5 when we divide all three parts by x .
Along with those three equations, we'll also use QT = 40 as well.
Now turn to the segment addition postulate. Plug in the equations mentioned earlier, and solve for x .
QT = QR + RS + ST
40 = x+4x+5x
40 = 10x
10x = 40
x = 40/10
x = 4
So we know that
QR = x = 4
RS = 4x = 4*4 = 16
ST = 5x = 5*4 = 20
-----------
As a check,
QR + RS + ST = 4 + 16 + 20 = 40
which is the same as QT = 40
Therefore, we've confirmed that QR + RS + ST = QT is correct and we've confirmed our answers.
Please help 5 to the 11th power divided by 5 to the ? Power equals 5 to the 4th power
Answer:
78125
Step-By-Step Explanation:
the graph of a linear function f passes through the point (-1,9) and has a slope of -3. what is the zero of f?
answer choices:
-6
4
2
-2
Answer:
Answer: x=2 (third option)
Step-by-step explanation:
Equation of a line
Being m is the slope and (h,k) is a point through which the line passes, the point-slope form of the equation of a line is:
y - k = m ( x - h )
We have the function f passes through the point (-1,9) and has a slope of m=-3. The point-slope equation of the line is:
y - 9 = -3 ( x - (-1) )
Operating:
y - 9 = -3 ( x + 1 )
y - 9 = -3x - 3
Adding 9:
y = -3x + 6
To calculate the zero of the function we set y=0 and solve for x:
-3x + 6 = 0
Subtracting 6:
-3x = - 6
Dividing by -3
x = - 6 / ( - 3 )
x = 2
Answer: x=2 (third option)
9. a - 2a +5
pls help i’m kinda dumb
Simplify this expression.
2(10) + 2(x – 4)
explain your steps. will give brainliest for right answers.
Answer:
12 + 2x OR 2x + 12
Step-by-step explanation:
2(10) + 2(x - 4)
Distribute;
20 + 2x - 8
Collect like terms;
12 + 2x OR 2x + 12
what is the answer?
Answer:
x = 110° ; y = 49°
Step-by-step explanation:
m∠ABD = m∠ADB = 35° ⇒ x = 180° - 2 × 35° = 110°
m∠CDB = m∠CBD = 2y ⇒ y = (180° - 82°) ÷ 2 = 49°
Solve the equation A = bh for b.
b = Ah
b = A/h
b = h/A
b = h – A
Answer:
b=Ah
Step-by-step explanation:
multiply both sides by h
Does anyone know what to put? I need help
Answer:
P'(3, - 3 )
Step-by-step explanation:
Given
M(- 3, 4 ) → M'(- 1, - 1 )
To obtain the image 2 is added to the x- coordinate and 5 is subtracted from the y- coordinate, that is
Translation rule is
(x, y ) → (x + 2, y - 5 ), thus
P(1, 2 ) → P'(1 +2, 2 - 5 ) → P'(3, - 3 )
PLEASE HELP me with this!! will mark brainliest.
Answer:
4 roots
Explain:
Odd degree polynmial
109 is 63% of what? Thx.
Answer:
109 is 63% of 173.02
Step-by-step explanation:
Let 109 = 63% of x
Thus;
63/100 * x = 109
63x = 10900
x = 10,900/63
x = 173.02
CIVICS In the 2004 presidential election, Ohio had 20 electoral votes.
This is 14 votes less than Texas had. How many electoral votes did Texas
have in 2004?
Answer:
34
Step-by-step explanation:
Ohio had 20
14 votes less than Texas (20 + 14)
34 electoral votes Texas had in 2004.
~~~Hope this helps~~~
Proportional Relationships
Complete this table
1 | ?
4 | 12
6 | ?
14| ?
hi there! in my understanding, here are the answers...
Answer:
1 | 3
4 | 12
6 | 18
14 | 42
Step-by-step explanation:
12 ÷ 4 = 3
1 x 3 = 3
6 x 3 = 18
14 x 3 = 42
hope this helped! have a good one.
please I really need an answer to this.
Answer:
It should be 0.88
Let me know if I'm wrong!
Answer:
I believe as a rounded decimal it is 1.33
What is the y intercept of the graph and table? please explain well on how you got your answer:)
Answer:
4
Step-by-step explanation:
The first point is on 4 on the y-axis
hope this helps :3
if it did pls mark brainliest
Please just put what the position that it would have the most amount of potential energy and why Thanks!
HELP I NEED TO PASS OR ELSE I WILL GET A WHOOPING
Answer: XD You have Among Us
Step-by-step explanation:
$1972.00 is what I got
Mark me as brainliest, Among Us User
kate ran 4 miles how far did she run in kilometers
Answer:
6.4
Step-by-step explanation:
Answer:
6.5 kilometers
Step-by-step explanation:
Solve 15x +2=17
Please help me. It’s superrrr important
Answer:
15x +2=17 so the first thing you want to do is minus 2 then divide by 15 which gives you x=1
An architect builds a scale model of a track using a scale of 3 inches represents 40 feet. The length of the track is 20 feet. What is the length of the scale model in inches?
Answer:
Step-by-step explanation:
Their is no answer sorry
solve (x³)*(x⁶)? ((((((((((good luck)))))))))))
Answer:
x^9
Step-by-step explanation:
When we multiply exponents with the same base, we add the powers
a^b * a^c = a^(b+c)
x^3 * x^6 = x^(3+6) = x^9
Step-by-step explanation:
[tex](x {}^{3}).( {x}^{6} ) = (x {}^{3 + 6} ) = {x}^{9} [/tex]
Activity 1.2 Determine the SOLUTION SET of this following exponential inequalities
I need the answer now. pls can anyone answer this? I will mark the brainliest answer.
Wrong and rude answers will be reported.
Answer:
1. [tex] x \ge -4 [/tex]
2. [tex] x < -2 [/tex]
Step-by-step explanation:
1. [tex] 10^{2x - 4} \le 1000^x [/tex]
Make both sides of the same base
[tex] 10^{2x - 4} \le (10^3)^x [/tex]
[tex] 10^{2x - 4} \le 10^{3x} [/tex]
Both bases will cancel each other
[tex] 2x - 4 \le 3x [/tex]
Subtract 2x from each side
[tex] - 4 \le 3x - 2x [/tex]
[tex] -4 \le x [/tex]
Rewrite
[tex] x \ge -4 [/tex]
2. [tex] (\frac{1}{5})^{3x + 10} > (\frac{1}{25}^{x + 4} [/tex]
Apply the inverse law of exponents
[tex] (5^{-1})^{3x + 10} > (25^{-1})^{x + 4} [/tex]
[tex] (5^{-1})^{3x + 10} > (5^{-2})^{x + 4} [/tex]
[tex] 5^{-3x - 10} > 5^{-2x - 8} [/tex]
Both bases will cancel each other
[tex] -3x - 10 > -2x - 8 [/tex]
Collect like terms
[tex] -3x + 2x > 10 - 8 [/tex]
[tex] -x > 2 [/tex]
Divide both sides by -1.
(Note: since we are dividing by a negative number, the inequality sign would change)
[tex] x < -2 [/tex]
The sum of three numbers is 12 . The sum of twice the first number, 3 times the second number, and 4 times the third number is 37 . The difference between 7 times the first number and the second number is 25. Find the three numbers.
Given:
The sum of three numbers is 12 .
The sum of twice the first number, 3 times the second number, and 4 times the third number is 37 .
The difference between 7 times the first number and the second number is 25.
To find:
The three number.
Solution:
Let the three numbers are x, y and z respectively.
According to the question,
[tex]x+y+z=12[/tex] ...(i)
[tex]2x+3y+4z=37[/tex] ...(ii)
[tex]7x-y=25[/tex] ...(iii)
From (iii), we get
[tex]-y=25-7x[/tex]
[tex]y=-25+7x[/tex]
Put [tex]y=-25+7x[/tex] value in (i).
[tex]x+(-25+7x)+z=12[/tex]
[tex]8x-25+z=12[/tex]
[tex]8x+z=12+25[/tex]
[tex]8x+z=37[/tex] ...(iv)
Put [tex]y=-25+7x[/tex] value in (ii).
[tex]2x+3(-25+7x)+4z=37[/tex]
[tex]2x-75+21x+4z=37[/tex]
[tex]23x+4z=37+75[/tex]
[tex]23x+4z=112[/tex] ...(v)
Now, Multiply equation (iv) by 4 and subtract the result from (v).
[tex]23x+4z-4(8x+z)=112-4(37)[/tex]
[tex]23x+4z-32x-4z=112-148[/tex]
[tex]-9x=-36[/tex]
[tex]x=4[/tex]
Put x=4 in (iv).
[tex]8(4)+z=37[/tex]
[tex]32+z=37[/tex]
[tex]z=37-32[/tex]
[tex]z=5[/tex]
Put x=4 in [tex]y=-25+7x[/tex].
[tex]y=-25+7(4)[/tex]
[tex]y=-25+28[/tex]
[tex]y=3[/tex]
Therefore, the three numbers are 4, 3 and 5 respectively.
if 324 is multiplide wit 11,what is the product?
Answer:
3,564
Step-by-step explanation:
324
11
×___. if you multiply this way it might help
what's (+6) + (+48) ?
Answer:
54
Step-by-step explanation:
The graph shows the distance Henry drives on a trip. What is Henry's speed?
A. 60 miles per hour
OB. 30 miles per hour
O C. 40 miles per hour
OD. 70 miles per hour
Answer:
60
Step-by-step explanation:
every 1 hour, he is going 60 miles