Answer:
h = 1,125
v = 450
Step-by-step explanation:
Total number of seats = 1575
h = number of seats in the home section
v = number of seats in the visitor section
There are two and a half times as many seats in the home section as there are in the visitor section.
h = 2 1/2 * v
h = 2 1/2v
Total = h + v
1575 = 2 1/2v + v
1575 = 3 1/2v
1575 = 7/2v
v = 1575 ÷ 7/2
= 1575 × 2/7
= (1575*2) / 7
= 3150 / 7
= 450
v = 450
h = 2 1/2v
= 5/2*450
= 2250/2
= 1,125
h = 1,125
The length of a car measures 30 feet what is the length of a model car if the scale factor is 1:64
Answer:
5 5/8 inches
Step-by-step explanation:
Set up and solve an equation of ratios:
x 1
------- = -------
30 ft 64
Then 64x = 30 ft, and x (the length of the model car) is 30/64 ft, or
x = 0.469 ft, or 5 5/8 inches
Given that a x 70 = b work out the value of
3b/a
Your final line should say, 3b/a = ...
Answer:
[tex]\frac{3b}{a} = 210[/tex]
Step-by-step explanation:
Explanation:-
Given that a× 70 = b
Dividing 'a' into both sides, we get
⇒ [tex]\frac{b}{a} = 70[/tex]
we have to find the value [tex]\frac{3b}{a}[/tex]
[tex]\frac{3b}{a} = 3 X \frac{b}{a}[/tex]
= 3× 70
= 210
Evaluate the following algebraic expression for 2x - 2
Answer:
2(x-1)
Step-by-step explanation:
1. uncountable noun. You can use stuff to refer to things such as a substance, a collection of things, events, or ideas, or the contents of something in a general way without mentioning the thing itself by name. [informal] I'd like some coffee, and I don't object to the powdered stuff if it's all you've got.
Fill in the blanks. To multiply a number by 0.01 move the decimal point ____ places to the _______. *
Answer:
To multiply a number by 0.01 move the decimal point 2 places to the left.
Step-by-step explanation:
for example, lets multiply 5 by 0.01
5 x 0.01=0.05
originally, 5 in decimal form is 5.0
when it is multiplied by 0.01, the decimal point moves first from 5.0 to 0.5, then 0.5 to 0.05
To multiply a number by 0.01 move the decimal point 2 places to the left.
What is a number system?A numeral system is a way of writing numbers; it's a way of mathematically notating a set of numbers by using a consistent set of digits or other symbols. In various numeral systems, the same set of symbols may represent various numbers.
For example, let's multiply 5 by 0.01
500 x 0.01 = 5
When the number 500 is multiplied by 0.01, the decimal point moves first from 500 to 5 means two places to the right.
Therefore, multiply a number by 0.01 and move the decimal point 2 places to the left.
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If a van traveled 240 miles in 4 hours how far could tha van travel in 5 hours
The Suarez family paid $12.00 for 3 movie tickets. How much would they have paid for 9 tickets?
Answer:
$36 (see below)
Step-by-step explanation:
First, you have to find how much they paid for one ticket.
If they paid $12 for 3, then they paid $4 for 1.
You could've also use a ratio:
$12 $x
-------- = --------
3 1
Cross multiply:
$12 (1) = $3x
$12 = $3x
$4 = x
So $4 for 1 ticket.
To find the cost of 9 tickets, just multiply the price by the number of tickets, which is:
$4 (9) = $36
There are 45 students who participate in track. Of these, 18 do an event other than running. What percent of the students do an event other than running?
Answer:
27
Step-by-step explanation:
To find out how many people do something OTHER than running, you have to take the total amount of students participating and subtract the number of runners. 45 - 18 = 27.
Answer:
40%
Step-by-step explanation:
18÷45 = 0.4 × 100 = 40%
A company ships packages through the postal service. One week, the cost of shipping one
package was $6.70, and the company also purchased a number of stamps. This can be
modeled by the expression 6.70 + 0.50x. According to the model, what is the meaning of
0.50?
Answer:
Step-by-step explanation:
For this problem, it says that the company not only shipped packages, but also bought a number of stamps. From the equation 6.70+0.50x, it's fairly easy to say that 6.70 is the packages,
What's not so easy is figuring out whether or not 0.50 is the stamps, or x is. However, there's an easy way to figure it out!
From this one, we would have to use "common sense" (not my words, someone elses). Using "common sense", we have to think, can someone buy 0.50 of a stamp?
Technically yes... But would someone buy 0.5 of a stamp? Not really.
So we can safetly assume that x is the "stamp", and 0.50 is the cost of the stamp.
Hope this helps!
Write the standard form of the equation of the circle with the given characteristics. Center: (3, 9); Solution point: (−2, 21)
Given:
Center of a circle is (3,9).
Solution point is (-2,21).
To find:
The standard form of the circle.
Solution:
Radius is the distance between center (3,9) and the solution point (-2,21).
[tex]r=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]r=\sqrt{(-2-3)^2+(21-9)^2}[/tex]
[tex]r=\sqrt{(-5)^2+(12)^2}[/tex]
[tex]r=\sqrt{25+144}[/tex]
On further simplification, we get
[tex]r=\sqrt{169}[/tex]
[tex]r=13[/tex]
The radius of the circle is 13 units.
The standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where, (h,k) is the center and r is the radius.
Putting h=3, k=9 and r=13, we get
[tex](x-3)^2+(y-9)^2=(13)^2[/tex]
[tex](x-3)^2+(y-9)^2=169[/tex]
Therefore, the standard form of the circle is [tex](x-3)^2+(y-9)^2=169[/tex].
What is the answer to this math problem
Answer:
14√14
decimal: 52.38 (52.38320....)
15w - 4 = 41 w=___ help
Answer:
[tex]15w - 4 = 41 \\ 15w = 41 + 4 = 45 \\ w = \frac{45}{15} \\ w = 3[/tex]
please help me answer this math problem
Answer:
The answer is AAS.
Step-by-step explanation:
Since you have 2 angles that are the same and 1 side which are the same or congruent.
A = E
and C=C they are vertical angles so they are the same
And the AB and ED side are also same.
Write this ratio as a fraction in simplest form without any units
28 days to 5 weeks
You can use the table below to help convert the units.
1 minute = 60 seconds
1 hour
60 minutes
1 day = 24 hours
1 week = 7 days
The ratio as a fraction will be 4 : 5 or 4/5.
The ratio given is ; 28 days to 5 weeks .
We have to find out this ratio as a fraction in the simplest form ?
What will be the value of ratio ; 2 : 4 will be ?
The value will be 1 : 2.
We have to change given ratio as a fraction in simplest form for ;
28 days to 5 weeks. To convert it in ratio we firstly need to change 5 weeks into days.
∵ No. of days in 1 week = 7 days
⇒ No. of days in 5 weeks = 7 × 5 = 35 days
The ratio as the fraction will be ;
[tex]\frac{28 days}{35 days}[/tex]
taking 7 common from both numerator and denominator.
= [tex]\frac{4}{5}[/tex]
Thus , the ratio as a fraction will be 4 : 5.
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3s algebraic expression in word form
Answer:
trice the number"s"
Step-by-step explanation:
is this wht u want ? like am i rght? if not pls delete my answer.
Answer:
Thrice a number
Three times the variable "s"
Step-by-step explanation:
Hope it helps!!!
plz help tysm!!!!!!!!!!!!!!!!!!!!
Answer:
y = x - 7
Step-by-step explanation:
Slope - intercept form: y = mx + b
2x - 2y = 14
-2y = -2x + 14
Divide the equation by (-2)
[tex]\frac{-2y}{-2}=\frac{-2x}{-2}+\frac{14}{-2}\\[/tex]
y = x - 7
Can someone PLEASE help with this one question!?
Answer:
x^2= 25
x = 5
pls mark as brainliest
The ordered pair D(0,-5) is translated 2 units left and 6 units up. Which of the following describes the translation using translation notation?
A. (x-2, y-6)
B. (x-6, y+2)
C. (x+6, y-2)
D. (x-2, y+6)
Answer:
Variant D
Step-by-step explanation:
Answer is x-2 and y+6
The translation using translation notation can be described as (x-2, y+6). The correct option is D.
What are coordinates?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
The coordinates of a point are given as (x,y).
Now, the x-coordinate is on the horizontal axis, therefore, if the point is moving right it is going in the positive direction, while if the point is moving in the left direction it is going in the negative direction.
Similarly, the y-coordinate is on the vertical axis, therefore, if the point is moving upwards it is going in the positive direction, while if the point is moving in downwards its direction it is going in the negative direction.
Given that the coordinates are translated as 2 units left and 6 units up. Therefore, we can write,
(x,y) → (x-2, y+6)
Hence, the translation using translation notation can be described as
(x-2,y+6).
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If a gallon of milk costs $5.25 now and the price is
increasing 6% each year, how long before a gallon
of milk costs $12?
Answer: It will take approximately 21 years.
Step-by-step explanation:
6 percent of 5.25 is 0.315 (5.25 x 0.06 = 0.315)
Then you subtract 5.25 from 12 to calculate the number of years. (12 - 5.25 = 6.75)
Divide 0.315 from 6.75 (6.75 / 0.315 ≈ 21.4)
write a simplified expression for the volume of a cube with side length x+3
Thomas scored 9 points less than Jason in the basketball game. Kevin scored twice as many points as Thomas. If Kevin scored 10 points, how many points did Jason score? \
Answer:
Jason has 14 points
Step-by-step explanation:
Kevin=10 points/2x thomas points
5x2=10 Correct
Thomas= 5 points
Thomas has 9 less points than Jason \
5+9=14
Jason= 14
Zadie makes a holiday decoration from a styrofoam cone with a height of 24 inches and
a diameter of 10 inches. What is the approximate volume of Zadies decoration?
0628
1884
125,6
02512
Answer:
Step-by-step explanation:
Please help thanks
Answer:
X= 62°
Step-by-step explanation:
Remember a straight line is 180°. If we were to try to find x, we would have to subtract 180 by 118. If we do that then we get 62°. And I think there corresponding angles.
BTW, I'M VERY SORRY IF MY ANSWER IS WRONG!! I HAVEN'T DONE THIS IN A YEAR!!! Use this as an example, or sum!!! Good luck.
Betsy uses 8.8 of blue paint and white paint to paint her bedroom walls. 1/4 of this amount is blue paint. And th rest is white how many pints of white paint did she use to paint her bedroom walls
Answer:
6.6 pints of white paint is used to paint the bedroom walls
Step-by-step explanation:
Pints of blue paint used to paint the bedroom walls = 8.8
Ratio of blue paint used = [tex]\frac{1}{4}[/tex]
Therefore,
Ratio of white paint used = [tex]1-\frac{1}{4}=\frac{3}{4}[/tex]
Pints of white paint used to paint the bedroom walls = [tex]\frac{3}{4}(8.8)=3(2.2)=6.6[/tex]
Therefore,
6.6 pints of white paint is used to paint the bedroom walls.
PLEASE HELP
David owns a food truck that sells tacos and burritos. He sells each taco for $4.50 and each burrito for $7.75. Yesterday David made a total of $519.25 in revenue from all taco and burrito sales and there were twice as many tacos sold as there were burritos sold. Write a system of equations that could be used to determine the number of tacos sold and the number of burritos sold. Define the variables that you use to write the system. (Let statments and system of equations)
Answer:
Step-by-step explanation:
The systems of equation for the scenario given are :
7.75t9t7.75t + 9t = 519.25Cost per tacos = 4.50
Cost per burritos = 7.75
Total amount made = $519.25
Let :
Amount of burritos sold = t
Amount of tacos sold = 2t
Total amount made from burritos sale :
(Number of burritos sold × cost per burrito) = (t × 7.75) = 7.75t
Total amount made from tacos sale :
(Number of tacos sold × cost per tacos ) = (2t × 4.50) = 9t
Total amount made :
7.75t + 9t = 519.25
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Find FH.
F
640
н
G
10
Write your answer as an integer or as a decimal rounded to the nearest tenth.
FH =
Submit

Answer:
FH ≈ 4.4
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos64° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{FH}{GH}[/tex] = [tex]\frac{FH}{10}[/tex] ( multiply both sides by 10 )
10 × cos64° = FH , then
FH ≈ 4.4 ( to the nearest tenth )
Manu drives 50 miles each day. How many miles does he drive in five days.
Answer: Manu drives 250 miles in 5 days.
Step-by-step explanation: Manu drives 50 miles each day, and he does this in each 1 out of 5 days. 50 + 50 + 50 + 50 + 50 is 250.
Answer:
250
Step-by-step explanation:
50= 1 day
?= 5 days
multiply 50 by 5
50 by 5= 250
to make it easier multiply 5 by 5 which is 25 then add the zero from the 50 at the end to get 250
help me please!!!!!!!!
Answer: it would be 4/2
Step-by-step explanation:
Answer:
the slope is 4/2, which can be simplified to 2/1.
Step-by-step explanation:
to find a slope, you have to identify two points that the line goes through. for example, in this problem. the slope travels through (0,0) and (2,4). from (0,0) tp (2,4), the slope travels to the side two points and up four. in the equation y=mx+b, m would be 4/2 or 1/2 since it's the slope. hope this helps a bit!!
A village is 10km on a bearing 050° from a point O. Calculate how far the village is north of O.
Answer:
7.66 km
Step-by-step explanation:
Let distance village is ; north of O = x
Using Pythagoras rule :
Sinθ = opposite / hypotenus
Opposite = x
Hypotenus = 10
θ = 50°
Sin50 = x / 10
0.7660444 = x / 10
x = 0.7660444 * 10
x = 7.6604444
x = 7.66
Find the difference:
Plz help giving brainly and thanks!
Answer: 9/20
Step-by-step explanation:
[tex]2 \frac{1}{4}=2.25\\\\1 \frac{4}{5}=1.8\\\\2.25-1.8=0.45=\frac{9}{20}[/tex]
Problem #2
All together, Michael and his two friends have exactly $30 to spend on lunch. Hot dogs cost $3.50 and
drinks cost $1.50. If they each get two hot dogs, how many drinks can they buy?