Answer:
number of girls = 90
Number of boys = 125
Number of adults = 20
Step-by-step explanation:
Total people at the summer camp= 235
Let
number of girls=x
Number of boys = x + 35
Number of adults = x - 70
Total people at the summer camp= number of girls + Number of boys + Number of adults
235 = x + (x+35) + (x - 70)
235 = x + x + 35 + x - 70
235 = 3x - 35
Add 35 to both sides
235 + 35 = 3x
270 = 3x
Divide both sides by 3
x= 270/3
= 90
x = 90
number of girls= x = 90
Number of boys = x + 35
= 90 + 35
= 125
Number of adults = x - 70
= 90 - 70
= 20
Total = 90 + 125 + 20
= 235
Answer:
There are 90 girls, 125 boys, and 20 adults.
Step-by-step explanation:
Let x be the number of girls. How many boys were there?
x + 35
How many adults were there?
x - 70
We know that 235 people are at RSM summer camp. Use this to make an equation.
x + (x + 35) + (x - 70) = 235
x + x + 35 + x - 70 = 235
3x - 35 = 235
3x - 35 + 35 = 235 + 35
3x = 270
3x ÷ 3 = 270 ÷ 3
x = 90
x, x + 35, x - 70
90, 125, 20
>
Please help!!! Do In 20 minutes
Answer:
The side length of the square would be (b - a) , so I believe the answer would be the one you have highlighted.
m DEF = 144° and m GEF = 69°. Find m DEG
Answer:
Angle DEG = 75 degrees
Step-by-step explanation:
Step 1:
m DEF - m GEF = m DEG
Step 2:
144 - 69 = 75
Answer:
75 degrees
For each pair of polygons, describe a sequence of translations, rotations, and reflections that takes Polygon P to Polygon Q.
Answer:
1. It is a reflection across the y axis, a rotation and a translation to the right and down.
2. A reflection across the x-axis, translation left 2 and down 1, with a 45 degree clockwise rotation.
3. An 180 degree reflection on line bc and a translation
Step-by-step explanation:
Case 1 involves translation and rotation.
Case 2 involves translation, rotation and reflection.
Case 3 involves translation and reflection.
In this question, we are going to describe succinctly all Steps needed to turn each Polygon P into respective Polygon Q:
Case 1:
(i) Translation along a Vector between Points A and H.
(ii) Rotation around Point H.
Case 2:
(i) Translation along a Vector between Points B and J.
(ii) Rotation around Point J.
(iii) Reflection with respect to a "vertical" Lines passing through Point J.
Case 3:
(i) Translation along a Vector between Points B and F.
(ii) Reflection with respect to a Line passing through Segment FD.
Please see this question related to Operations with Polygons: https://brainly.com/question/12091224
Solve for j. please help meee
Answer:
112 degrees
Step-by-step explanation:
Angle J and the other angle combines to form a straight angle. In other words, they must total 180 degrees. Thus:
[tex]68+j=180[/tex]
Subtract 68 from both sides:
[tex]j=112\textdegree[/tex]
And we're done!
Answer:
I believe the answer is 112 degrees
Step-by-step explanation:
If you know, a straight line hs 180 degrees. Well, then having this knowledge, make a simple equation x+68=180.
Then Solve the equation
x+68=180
-68 -68
x=112
Hope it helps!
James earns $8.75 per hour working at the Kroger after school. He needs at least $250 for an iPhone. Write and solve an inequality that describes how many hours James must work to buy the iPhone.
Answer:
29 hours
Step-by-step explanation:
$250: $8.75= 28.5. and you round that up to 29. cause 28 times 8.75 is $245. and that's below the amount that James needs
What is the value of m in the equation {m- n = 16, when n = 8?
Answer:
m=44
Step-by-step explanation:
Answer:
m=44
Step-by-step explanation:
Solve for y
y - 5x = 11?
Answer:
y=16
Step-by-step explanation:
y = 11-5x
= 16
y = 16this is the answer
xxxx delete answer xxxx
Which of the following fractions is an improper fraction?
2/3
6/11
21/25
8/7
Answer:
8/7
Step-by-step explanation:
The Numerator is bigger than the denominator which in turn can be converted to a mixed fraction.
Find two rational numbers between -1 and 0
Answer:
-1/2 and -3/4
Step-by-step explanation:
rational numbers are numbers that can be expressed in a fraction
Jeffrey went to the movies with his friends. The tickets cost $8.50 each for students and they spent $15.00 altogether at the concession stand. Their total was $49.00. How many people went to the movies?
Answer:
4 people
Step-by-step explanation:
Let's first write an equation.
We want to find the number of tickets t
The total was $49 so our equation will equal $49 and they spent $15 in snacks so on the other side of the eqaution we have to add $15, on the same side as the snacks we need to add in the cost of tickets, which is $8.50 multiplies by t, or the total number of tickets.
$49 = $8.50t + $15
Solve for t, first subtract $15 from both sides.
$49 - $15 = $8.50t
$34 = $8.50t Divide both sides by $8.50
$34/$8.50 = $8.50t/$8.50
$34/$8.50 = t
4 = t
4 tickets meaning 4 people went.
A 13/16
A -inch-long bolt is used in a machine. What is the length of the bolt written as a decimal?
Answer:
13/16 = 0.813
Step-by-step explanation:
what is 8 ninths plus 7 fifteenths
Answer:
122/90 or 1 32/90
Step-by-step explanation:
8/9 and 7/15 have the common denominator of 90.
Step 1:
8/9 + 7/15
Step 2:
80/90 + 42/90
Step 3:
122/90
Answer:
122/90 or 1 32/90
Hope This Helps :)
|7 – x| + |3x| when x = 2
Answer:
Answer= 11
Step-by-step explanation:
|7 – (2)| + |3 (2)|
|5| + |6| = 5 + 6 = 11
Maude and Ahmed each drove their cars for 4.6 hours. In that time, Maude drove 230 miles. Ahmed drove 10 miles per hour slower than Maude drove. Write an equation that can be used to determine the distance, y, in miles, that Ahmed drove in h hours. Use your equation to determine how many more miles Maude drove in h hours than Ahmed drove. Show your work.
Answer:
y = 4.6 * (230 -10) ... 1,012 - Ahmed ... 1058 - Maude
find three consecutive even integers whose sum is 54
simplify (-4x^5)(4x^2)
Answer:
-16x^7
Step-by-step explanation:
Multiply -4 by 4 and x^5 by x^2:
(-4)(4)(x^5)(x^2) = -16x^7
Answer:
14
Step-by-step explanation:
Would the sum of -13 and 20 be positive or negative? Explain your reasoning. Use complete sentences.
Answer:
Positive
Step-by-step explanation:
-13 plus positive 20 equals positive 7
35 over 11 rounded to the nearest tenth
negative two minus negative 5
Answer:
3
Subtract the smaller number from the greater number.
You get -3, right?
Remeber the key rule- negative minus negative is positive.
Pls help im timedTrey converted 12,500,000 into scientific notation as 12.5 * 10 to the power of 6 his he correct
Answer:
12,500,000 (twelve million five hundred thousand) is an even eight-digits composite number following 12499999 and preceding 12500001. In scientific notation, it is written as 1.25 × 107.
Step-by-step explanation:
To obtain the graph of y = (x - 8)2, shift the graph of y = 2____ units.
Answer:
y = 2(8-x)
Step-by-step explanation:
you just swich around the numebers and the( ta da)
Which coordinate pair identifies a point in the third quadrant of the coordinate plane?
Answer:
-,-
Step-by-step explanation:
the y axis is negative and the x axis is also negative
hope this helps
The finished inside diameter of the Piston ring is normally distributed with a mean of 4 inches and standard deviation of 0.01 inch. Below what value of inside diameter will 15% of the Piston ring fall
Answer:
3.98964 inches
Step-by-step explanation:
We are given;
Mean; μ = 4 inches
Standard deviation; σ = 0.01 inch
Probability = 15% = 0.15
Formula to calculate z-value is given by;
z = (X - μ)/σ
Now, since we are given the probability to be below 0.15,thus;
From z - table attached, the z value that corresponds to a probability of 0.15 is -1.036.
Thus, plugging in the relevant values into the z score equation gives;
-1.036 = (x - 4)/0.01
Cross multiply to give;
-0.01036 = x - 4
x = 4 - 0.01036
x = 3.98964 inches
I'm rather stuck on this question
Answer:
m<a = 30°
m<b = 90°
m<c = 60°
Step-by-step explanation:
Angles a, b, and c are all angles on a straight line.
Angles on a straight line add up to 180°.
Therefore, a + b + c = 180°
Given that a:b:c = 1:3:2, the measure of each can be calculated as follows:
Measure of each angle = the ratio proportion of that angle ÷ total ratio proportion * 180°
m<a = [tex] \frac{1}{6} * 180 = 30 [/tex]
m<b = [tex] \frac{3}{6} * 180 = 90 [/tex]
m<c = [tex] \frac{2}{6} * 180 = 60 [/tex]
which coordinate pair represents the reflection of poin A across the y-axis
Answer:
i need and image
Step-by-step explanation:
a=14; what does 15+5+a equal
Answer:
34
Step-by-step explanation:
So because you are given that a= 14, You just need to replace a with 14 in the equatio so it becomes:
15 + 5 + 14
15 + 5 = 20
20 + 14 = 34
All you do is replace a with 14 then add 15, 5 and 14 getting 34.
HOPE IT HELPED
1+cosx/1-cosx=tan^2x/(sec^2-1)^2
Answer:
Take a look at the attachment below
Step-by-step explanation:
what is the answer to 3(5)
Answer: 15
Step-by-step explanation:
3x5=15
subtract -9x-7 from 8x2 -5x +9
Answer:
8x2+4x+16
Step-by-step explanation:
first you would place as so
8x2-5x+9 - (-9x-7)
you would then change question to addition but do this you would have to switch the signs for the one in the parenthisis. it would look like 8x2-5x+9 + 9x+7
You then add like terms and put them into standard form.
hope this helps!!
Order of Operations
If the Order of Operations did not exist, how many
possible solutions can you find for this expression?
4 + 9 + 16 : 4 - 8 – 3 x 5
Given:
[tex]4 + 9 + 16 \div 4 - 8 -3 \times 5[/tex]
To find:
The number of possible solutions, if the Order of Operations did not exist.
Solution:
We have,
[tex]4 + 9 + 16 \div 4 - 8 -3 \times 5[/tex]
Now,
Case 1:
[tex][4 + 9 + 16] \div [4 - 8 -(3 \times 5)]=29\div (4 - 8 -15)[/tex]
[tex]4 + 9 + 16 \div 4 - 8 -(3 \times 5)=-\dfrac{29}{19}[/tex]
Case 2:
[tex][4 + 9 + 16] \div (4 - 8 -3) \times 5=29\div (-7\times 5)[/tex]
[tex]4 + 9 + 16 \div (4 - 8 -3) \times 5=-\dfrac{29}{35}[/tex]
Case 3:
[tex]4 + 9 + (16 \div 4) - 8 -(3 \times 5)=4+9+4-8-15[/tex]
[tex]4 + 9 + (16 \div 4) - 8 -(3 \times 5)=-6[/tex]
Many more possibilities are there.
Therefore, there are more than 3 possible solutions.