Answer:
[tex]Cindy = 30[/tex]
[tex]Hao= 10[/tex]
[tex]Raymond = 5[/tex]
Step-by-step explanation:
Given
Represent each withe first letter of their name;
So:
[tex]C = 3H[/tex]
[tex]R = \frac{1}{2}H[/tex]
[tex]\frac{C + R + H}{3} = 15[/tex] --- the average of books
Required
The number of book each has
Substitute [tex]C = 3H[/tex], [tex]R = \frac{1}{2}H[/tex] in [tex]\frac{C + R + H}{3} = 15[/tex]
[tex]\frac{3H + \frac{1}{2}H + H}{3} = 15[/tex]
Multiply both sides by 3
[tex]3 * \frac{3H + \frac{1}{2}H + H}{3} = 15 * 3[/tex]
[tex]3H + \frac{1}{2}H + H = 45[/tex]
Take LCM and solve
[tex]\frac{6H + H + 2H}{2}= 45[/tex]
[tex]\frac{9H}{2}= 45[/tex]
Multiply both sides by 2/9
[tex]\frac{2}{9} * \frac{9H}{2}= 45 * \frac{2}{9}[/tex]
[tex]H= 45 * \frac{2}{9}[/tex]
[tex]H= 5 * 2[/tex]
[tex]H= 10[/tex]
[tex]C = 3H[/tex]
[tex]C = 3 * 10[/tex]
[tex]C = 30[/tex]
[tex]R = \frac{1}{2}H[/tex]
[tex]R = \frac{1}{2} * 10[/tex]
[tex]R = 5[/tex]
What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation?
-2x^2+8x+73=9
Answer:(x-2)^2=36
Step-by-step explanation:
A colony of 70,000 bacteria doubles in size every two hours what will the population be four hours from now
Answer:
About 280,000
Step-by-step explanation:
Answer:
280,000
Step-by-step explanation:
If you multiply 70000 by 2 twice, then you get 280,000
Hope that this helps!
Given that y = 4x + c is a tangent to the function f(3) = 3x^2 - 8x + 6, find the value of c.
Answer this question so i dont fall victim to a siezure/heart attack from stress
Answer:
Length = 12 feet, Width = 10 feet
Step-by-step explanation:
Let the length of the bedroom be 'x' ft and the width of the bedroom be 'y' ft.
We know that the perimeter of a rectangle is given by,
P=2(length+width)
P=2(x+y)
It is given that, the length of the bedroom is 2 more than the width, so,
x=y+2
Putting the values in the equation of perimeter we get,
44=2((y+2)+y)
44=2(2y+2)
44/2 =2y+2
22=2y+2
2y=22−2
y= 20/2 =10
Therefore, x=y+2=10+2=12
Hence, the length of the bedroom is 12 feet and the width of the bedroom is 10 feet.
The cost of 3 loaves of bread and 3 gallons of milk is $19.35. The cost of 4
loaves of bread and 2 gallons of milk is $17.90. How much does one loaf
of bread cost?
Answer:
bread $2.5 milk $3.95
Step-by-step explanation:
b=bread m= milk
3b +3m = 19.35
4b+2m= 17.90
Multiply the first by (-2)
Multiply the second by 3
Then add both
-6b -6m = -38.7
12b+6m=53.7
(when you add both 6m is cancelled)
6b = 15
b= 2.5 (BREAD $2.5)
4(2.5) = 10
10+ 2m = 17.90
2m = 7.90
m= 3.95 (MILK $3.95)
ASAP!! ILL GIVE BRAINLEST
In any given pair of similar three dimensional figures, if the ratio of the sides is a:b, then the ratio of
the surface areas is...
A:B
A^3:B^
A^-1:B^-1
A^2:B^2
function h describes the height of a ball, in inches, after n bounces and is defined by the equation h(n)=120 x (4/5)^n.
What is h(3) ?
What does h(3) represent in this situation?
Answer:
Step-by-step explanation:
h(3) = 120*(4/5)^3, which evaluates to 120(64/125), or 61.64.
What does this mean: After 3 bounces the height of the ball is 61.64 ft.
Find the volume of this right rectangular
prism.
3 in
9 in
. 3 in
[ ? ]in3
Answer 8.1
Step-by-step explanation:
3 x 9 x 0.3 = 8.1
Complete the sentence the length of a segment from a vertex to the centroid is the length of the median from that vertex
Answer:
The length of a segment from a vertex to the centroid is
“ 2/3 “ the length of the median from that vertex
Hence, the length of the median from that vertex is [tex]\frac{2}{3}[/tex].
What is the vertex?
The common endpoint of two or more rays or line segments Vertex typically means a corner or a point where lines meet.
Here given that,
The length of a segment from a vertex to the centroid is the length of the median from that vertex.
So, the length of a segment from a vertex to the centroid is [tex]\frac{2}{3}[/tex] which is the median of that vertex.
Hence, the length of the median from that vertex is [tex]\frac{2}{3}[/tex].
To know more about the vertex
https://brainly.com/question/19573277
#SPJ6
a-7=3 (b+2)
a=?
Please don't attach a link with the answer write you answer out please
Answer:a=3
Step-by-step explanation:
Answer:
a = 3b + 13
Step-by-step explanation:
a - 7 = 3 (b+2)
a - 7 = 3b + 6
a = 3b + 13
If f(x)= (2x)^2, find f(-4)
Answer:
f(-4)=16
Step-by-step explanation:
substitute x for -4
f(x)=(2x)^2
f(-4)=(2*-2)^2
f(-4)=(-4)^2
f(-4)=16
it is in the picture
Answer:yes
Step-by-step explanation:
Write the positive or negative integer that this situation represents.
Lucy made a $12 profit.
Answer:
12
Step-by-step explanation:
A profit, or money you have, or money you deposit in a bank account is usually positive.
A debt, or money you withdraw from a bank account, or money you give away is usually negative.
Answer: 12
Is this a polygon or trapezoid?
Answer:
No
Step-by-step explanation:
this is my opinion so No
distance between the points (7,1) and (3,4)
Answer:
The solution to this problem is -3/4
A rectangle has a length of 3x^2y^3 inches and width of 4x^2y^3 inches . which expression represents the perimeter in inches of rectangle?
Answer:
44x²y³
Step-by-step explanation:
don't see options for answers but the perimeter would be:
2(3x²y³) + 2(4x²·2y³)
= 6x²·2y³ + 8x²·4y³
= 12x²y³ + 32x²y³
= 44x²y³
Mary received an $80 gift card for a coffee store. She used it in buying some coffee that cost $8.21 per pound. After buying the coffee she had $30.74 left on her card. How many pounds of coffee did she buy?
Please i need asp this is me ether failing or passing math!!!
Answer:
Step-by-step explanation:
y (y+2)+1(y+2) simplify the product
Answer:
[tex]y (y+2)+1(y+2)[/tex]
[tex](y +1)(y+2) = 0[/tex]
Using complete sentences, describe the error in the steps used to solve the equation. There will be no problems that don’t have an error.
“The error was made when.....”
Help please it would mean a lot! Thank youuu
Answer:
C
Step-by-step explanation:
By my math that should is definitely correct. your welcome
What is the slope of the line shown?
On a coordinate plane, a line goes through (0, negative 3) and (6, 0).
Answer:
1/2
Step-by-step explanation:
Find the values of x and y. Write your answer in simplest form
Answer:
a = 8
b = 13.85641 or 8√3
Step-by-step explanation:
For some reason, my explination isn't formatting properly, hope this helped
Answer:
Step-by-step explanation:
The angle is 60 degrees so the triangle is half of an equilateral triangle
so y is half of the hypotenuse:
y = 16/2 = 8
x = √16^2 - 8^2 = √256 - 64 = √192 = 8√3
can someone please help me with this ?? im really confused but i need to pass this test!
In the circle above, the measure of angle DHG can be represented by 7x - 7, and the measure of arc DG can be represented by 9x + 21. The measure of arc DG is ___ degrees.
Answer:
[tex]84^{\circ}[/tex]
Step-by-step explanation:
The measure of an inscribed angle is exactly half the measure of the arc it forms. Thus, we have the following equation:
[tex]2(7x-7)=9x+21[/tex]
Solving, we get:
[tex]2(7x-7)=9x+21,\\14x-14=9x+21,\\5x=35,\\x=7[/tex]
Plugging in [tex]x=7[/tex] into [tex]9x+21[/tex]:
[tex]\widehat{DG}=9(7)+21,\\\widehat{DG}=63+21,\\\widehat{DG}=\boxed{84^{\circ}}[/tex]
Answer:
-31
Step-by-step explanation:
Find the slope of the line using the slope formula.
(-1 , 3 ) and ( -1, 0)
Answer:
m=undefined
Step-by-step explanation:
The slope tells us the steepness and direction of a line. It is the change in y over the change in x.
[tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]
In this formula, (x₁, y₁) and (x₂, y₂) are the points the line passes through.
The points we are given are (-1, 3) and (-1, 0). If we match the number with the corresponding variable we see that:
x₁ = -1 y₁= 3 x₂= -1 y₂ = 0Substitute the values into the formula.
[tex]m= \frac{ 0-3}{-1--1}[/tex]
Solve the numerator.
0-3 = -3[tex]m= \frac{-3}{-1--1}[/tex]
Solve the denominator.
-1--1= -1+1=0[tex]m=\frac{3}{0}[/tex]
Since we cannot divide a number by 0, the slope is undefined. Basically, this is a vertical line and all the points have the same x-coordinate.
Can someone pls help? The stuff in the box is n’t right. Please help!
Answer:
fixed amount is 150
the rate is 6
The formula to calculate the total cost of the caterer is
total cost = 150 × 6 + number of students
Step-by-step explanation:
1. 1050= 150×r+f
2. 750= 100×r+f
• On number 2 you substract on both sides f so you get 750-f=100×r with this you divide on both sides 100 and you get 7,50 -f÷100=r
• Now you can put r into term of number 1 and you get 1050=150x(7,50-f÷100)+f
• If you calculate this to just get a f on one side you get f=150 so this the fixed amount
• Put f in r=7,50-f÷100 so u get r=7,50-150÷100 or r=6 this the rate
• So the formula to calculate the total cost for the caterer is
total cost=150 + 6 × number of students
Can someone help me please
Answer:
I believe the answer is 2. You may want to get a second opinion though because Im not sure
35.487 multiply by 10 to the forth power is?
Answer:
354870
Step-by-step explanation:
35.487 × [tex]10^{4}[/tex]
35.487 × 10000
354870
Help plesae i have no idea of what to do thanks
Answer:
1. 5 in.
2. 12 in.
3. 3.5 in.
4. 30 ft
5. 4 m
6. 32 mm
7. 53.41 m
8. 18.85 ft
9. 87.96 in
10. 56.56 mm
11. 20.57 in
12. 25.71 yd
Step-by-step explanation:
What single transformation was applied to quadrilateral A to get to quadrilateral B?
Answer:
The correct answer is translation