The ratio of the number of adults to the number of children at a restaurant is 3: 7. Identify the choice(s) below
that represent an equivalent ratio.
A 15:35
B 6:14
C 21:9
D 8:12
E 30 : 70
Answer:6:14
Step-by-step explanation:
when you spin a 2D triangle, it looks like a 3D pyramid. true or false
Answer:
False
Step-by-step explanation:
write the equation of the line perpendicular to y=3/2x+3/2 that passes through the point (-1,2)
Answer:
y = -2/3x + 4/3
Step-by-step explanation:
If two lines are perpendicular, the product of their slopes is -1
comparing what we have with the general form;
y = mx + b
The slope of the given equation is 3/2
To get the slope of other;
3/2 * m = -1
3m = -2
m = -2/3
So we want to write the point-slope equation
y-y1 = m(x-x1)
y-2 = -2/3(x + 1)
3y - 6 = -2x -2
3y = -2x -2 + 6
3y = -2x + 4
y = -2/3x + 4/3
You are throwing a party at an arcade. You recieve 5 tokens for every dollar spent. Create an equation that describes this situation. T is the total number of tokens and D is the number of dollars.
Answer: 5D = T
Step-by-step explanation:
A dollar spent will give 5 tokens.
The amount of dollars spent therefore will increase the number of tokens you by fivefold.
Formula is therefore:
5D = T
Testing it.
Assume you spent 5 dollars, how many tokens would you have:
5D = T
5 * 5 = 25 tokens
Simplify the expression:
4b - 24 + 19
4p - 5p - 30p
4.2v - 5 - 6.5v
OKK almost done pls tell me if you can!!!!
Step-by-step explanation:
(3*4+1) / 4. * (2*5+3) / 5
= 13/ 4 * 13 /5
= 169/20
Answer:
(8 9/20)(x)
Step-by-step explanation:
Answer the question below please.
DUE TODAY
CORRECT ANSWER GET'S BRAINLIEST :)
Answer:
23.5
Step-by-step explanation:
I'm not sure if its correct or not
Abigail’s parents pay her $5 an hour for weeding the yard and pay her little sister $3 an hour for raking leaves.
Write an expression in two different ways to represent the amount their parents will pay Abigail and her sister for working the same number of hours
I dont get help me
Answer: (MAKE ME BRAINLIST PLEASE)
Answer: For Abigail W = $5t
For her younger sibling W= $3t
Bit by bit clarification:
How about we address the compensation with W
t as the time spent on work in hours
Abigail will be paid $5 every hour, her all out compensation will be
W(abg) = $5t
Her younger sibling will be paid $3 every hour, her complete compensation will be
W(lts) = $3t
help please!!!!!!!!!!!!!!!!!!!!!!!
9514 1404 393
Answer:
a) $336
b) $1036
Step-by-step explanation:
a) The interest is computed using the formula ...
I = Prt
where P is the amount invested at rate r for t years.
I = $700·0.08·6 = $336
The interest earned is $336.
__
b) The balance of the account is the sum of the original amount and the interest earned:
balance = $700 +336 = $1036
The balance of the account is $1036.
the ratio of length and breadth of a piece of land is 5:3 and its breadth is 48m. find the perimeter and area of the land.
Answer:
256 m and 3840 m²
Step-by-step explanation:
The 3 part of the ratio represents 48 m , then
48m ÷ 3 = 16 m ← value of 1 part of the ratio, so
5 parts = 5 × 16 m = 80 m
Then breadth = 48 m and length = 80 m
perimeter = 2l + 2b = 2(80) + 2(48) = 160 + 96 = 256 m
area = lb = 80 × 48 = 3840 m²
li can walk 2 miles in 45 minuets. At the rate,how far can she walk in 135
Answer:
6 miles
Step-by-step explanation:
Li can walk 6 miles if you divide 135 and 45 you'll get 3 finally if you multiply 2 and 3 you'll get 6 So in total Li walks 6 miles
What is the slope of the line that passes through the points (-6,8) and (-16,33)? write your answer in the simplest form
Answer:
slope or m= -5/2
Step-by-step explanation:
from the adjoining figure, find the value of x
Answer:
x = 2°
Step-by-step explanation:
x + 2x + 30 = 180°
3x + 30 = 180°
3x = 180°/30°
3x = 6°
x = 6°/3°
x = 2°
Pls help, I know the answer but what I wrote in the box isn't correct
How do I show the answer?
Answer:
AC=11.38 cm
Step-by-step explanation:
The Law of Cosines
It relates the length of the sides of a triangle with one of its internal angles.
Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:
[tex]c^2=a^2+b^2-2ab\cos x[/tex]
The figure shows two triangles and we are required to calculate the length of the side AC, knowing two sides and the angle between them. Thus, applying the formula:
[tex]AC^2=17^2+13^2-2*17*13*\cos42^\circ[/tex]
[tex]AC^2=289+169-442*0.7431[/tex]
[tex]AC^2=129.53[/tex]
[tex]AC=\sqrt{129.53}[/tex]
AC=11.38 cm
what is the degree of the polynomial -x^4+10x^3+x-7
Answer:
7
Step-by-step explanation:
You can find the degree of a polynomial by adding all of the exponents on a specific variable.
What is the equivilent of +367 on a numberline?
Answer:
367
Step-by-step explanation:
367 because it is positive
A cube is cut in to three parts by vertical slices find the volume of the shaded area The length and width of original is 20 cm and cut part is 10 cm
Answer:
4000 cm^3
Step-by-step explanation:
Note that no image was attached for reference purposes
Step one:
We are given that the original length and width of the cube is 20cm
if the cut part is 10cm
hence the dimension of the cut part is
lenght = 20cm
Width= 20cm
Hieght= 10cm
Step two:
the volume of the cut part will be
Volume= 20*20*10
Volume= 4000 cm^3
6x+3 what is the value of x?
Answer:
3
Step-by-step explanation:
6x+3
6+6+6=18
or 6 divided by 2 which is 3
-18v^2 + 23v^2 =
Please show work
Write the equation of the line that passes through the point (1,4) and is parallel to y=5
Answer:
The equation of the desired line is thus y = 4
Step-by-step explanation:
A line parallel to y = 5 is a horizontal line. The x-coordinate of every point on this line can take on any x-value; the y-coordinate is always 5.
The line that passes through the point (1, 4) has the constant y-coordinate 4, whereas x can take on any value.
The equation of the desired line is thus y = 4; this line passes through (1, 4) as required and is parallel to y = 5.
The mass of a large car is 1200 kg. How much force would be required to accelerate the car at a rate of 5 m/s2?
Answer:
6000/s^2
Step-by-step explanation:
Answer 6000/s^2
Step-by-step explanation:
Write an expression for the perimeter in simplest form.
A) 3x + 3
B) 3x3 + 18
C) 3x + 9
D) 3x + 5
Need help asap! What is x and y?
Answer:
C
Step-by-step explanation:
I THINK THAT IS THE ANSWER.
PLEASE HELP!
Priya is with her mother at the zoo’s gorilla exhibit. Priya is studying the chart displayed beside the gorilla exhibit, which shows the name and weight of each gorilla. Use the information in the chart to answer the questions in this activity.
Gorilla Weight Plugged into True or False?
5a + 8 = 318
(pounds)
Sophia 318
George 417
Nancy 310
Hank 136
Paula 62
Gavin 24
Part A
Priya’s favorite gorillas are a mother named Sophia and her baby. The zoo attendant said that Sophia weighs 8 pounds more than 5 times her baby’s weight. To determine the baby gorilla’s weight, Priya can use the equation 5a + 8 = 318, where a is the weight of the baby gorilla. Plug the weight of each gorilla into the equation to check which value makes the equation true.
Answer :
The value that makes the equation true is Paula 62
Step-by-step explanation:
Here, we want to plug the weight of each of the Gorilla to determine the weight that makes the equation true
all we have to do here is that in each of the cases, we substitute the value of a for the weight of each of the Gorilla
Sophia
a = 318
5a + 8
= 5(318) + 8
as we can see this is not equal to 318
George
For George, we substitute a for 417
That will be;
5(417) + 8
This is not 318
for Nancy
5(310) + 8
This is not equal to 318
for Hank
we have a as 136
5(136) + 8
This is not equal to 136
for Paula
5(62) + 8
= 310 + 8 = 318
we can see this is correct
for Gavin,
5(24) + 8
= 128 which is not equal to 318
The only equal value is that of Paula which is our answer
Answer:
Gorilla Weight
(pounds) Plugged into
5a + 8 = 318 True or False?
George 417
5(417) + 8 = 318
2,093 = 318
false
Nancy 310
5(310) + 8 = 318
1,558 = 318
false
Hank 136
5(136) + 8 = 318
688 = 318
false
Paula 62
5(62) + 8 = 318
318 = 318
true
Gavin 24
5(24) + 8 = 318
128 = 318
false
Step-by-step explanation:
help please !! thank you!
Answer:
.5
Step-by-step explanation:
if you put ur mouse on -2 then move to the right 1.5 you will get .5
Hope this Helps!!!
Answer:
-.5
Step-by-step explanation:
1.5 +-2 is -.5 hope this helps
(3k + 4 1/5) + 8 3/5
Which section of the function is constant? (4 points)
OA
OD
ОС
ОВ
Answer:
C
Step-by-step explanation:
Here, we want to select the constant section
The constant section is the one represented by a horizontal line
As we can see from the image, we have this as section C
A mathematics class consists of 55 boys and 65 girls .what is the ratio of girls to the total numbers of students? *
11:13
13:11
13:24
11:24
Answer:
I think it's maybe 11:55
Answer:
11:13
Step-by-step explanation:
Just simplify 55:65, by dividing by 5
Here is a scale drawing of a garden.
Kim wants to plant a tree in the garden according to the following rules:
It must be 7 m from A and 4 m from C.
Place a cross where Kim can plant the tree.
1 cm represents 2 m
D
2.5 cm
А A
B.
4 cm
View One Minute Version
Answer:
The coordinates of the cross on the scale drawing which locates where Kim can plant the tree is (3.45 cm, 0.58 cm)
Step-by-step explanation:
The question relates to coordinates geometry and the solution can be obtained graphically by construction as shown in the attached drawing
The given parameters of the scale drawing are;
The scale of the drawing is 1 cm = 2 m
The dimensions of the rectangle representing the garden in the scale drawing is given as follows;
The width of the rectangle = 2.5 cm
The length of the rectangle = 4 cm
The required location where the tree is to be planted = 7 m from A and 4 m from point C
Therefore, the location where Kim can plant the tree on the scale drawing is 3.5 cm from point A and 2 cm from point C
Taking the coordinate of point A as the origin, we have;
The coordinates of point A = (0, 0)
∴ The coordinates of point C = (4, 2.5)
The general equation of a circle is (x - h)² + (y - k)² = r²
Where, (h, k) is the coordinate of the center of the circle
The location of the point is on a radius 3.5 cm from point A and a radius 2 cm from point C
Therefore, for point A, we have;
(x - 0)² + (y - 0)² = 3.5²
x² + y² = 12.25...(1)
For point C, we have;
(x - 4)² + (y - 2.5)² = 2² = 4
Which gives;
x² - 8·x + 16 + y² - 5·y + 6.25 = 4
x² + y² - 8·x - 5·y + 22.25 = 4
We have x² + y² = 12.25 from equation (1), therefore, we have;
12.25 - 8·x - 5·y + 22.25 = 4
- 8·x - 5·y = 4 - 22.25 - 12.25 = -30.5
∴ 8·x + 5·y = 30.5
y = (30.5 - 8·x)/5
Therefore, we have;
x² + y² = 12.25 = x² + ((30.5 - 8·x)/5)² = 12.25
Using a graphing calculator we get;
356·x² - 1952·x + 2496 = 0
Which gives;
x = (1952 ± √((-1952)² - 4×356×2496))/(2 × 356)
x = 3.452197227 or 2.03094884081
To two decimal places, we have the coordinates of the points where the tree can be planted given as follows;
Therefore, y = (30.5 - 8×3.452197227)/5 = 0.5764844368
or y = (30.5 - 8×2.03094884081)/5 = 2.8504818547
y = 0.5764844368 or 2.8504818547
To two decimal places, we have the coordinates of the places where Kim can plant the tree are given as follows;
(3.45, 0.58) or (2.03, 2.85)
We note that the point (2.03, 2.85) is at the outside the drawing the area as 2.85 cm is more than 2.5 cm which is the width (height) of the rectangle as shown in the attached drawing created with Microsoft Word.
Therefore, the coordinates of the cross where Kim can plant the tree is (3.45, 0.58)
Answer:
Step-by-step explanation:
Make sure to use protractor and cross tools to get full marks
Thank you
Substitute y=-2x+5 into 2y=2x-8 and solve for x
(help me asap please)!!
Answer:
x = 3
Step-by-step explanation:
2y = 2x - 8
2(-2x + 5) = 2x -8
-4x + 10 = 2x - 8
+4x +4x
10 = 6x - 8
+8 +8
18 = 6x
divide both sides by 6
x = 3
Hope this Helps!!!
