If carol travels 4 miles and her car averages 28 miles per hour, how long will it take carol to complete the distance? Express this situation in an equation, making t the variable of time
Answer: t= Distance/Speed = 4/28= 1/7
Step-by-step explanation:
Speed is 28miles /hr
Distance = 4miles
Distance = Speed × time
Time(t) = Distance /Speed
The circumference of a circle is 59.032 centimeters. What is the circle's radius?
Answer:
9.4
Step-by-step explanation:
I used r=C/2π as the formula
58°
47°
Find the value of x
Step-by-step explanation:
The question is not complete or correct
a car uses 9 gallons of gasoline to go 162 miles. how many gallons of gasoline will the same car use to travel 216 miles?
Answer:
[tex]12\ gallons[/tex]
Step-by-step explanation:
Step 1: Determine the unit rate
[tex]Miles / Gallons[/tex]
[tex]162\ miles / 9\ gallons[/tex]
[tex]18\ miles/gallon[/tex]
Step 2: Determine the amount of gasoline used for 216 miles
[tex]216\ miles * (gallon / 18\ miles)[/tex]
[tex]12\ gallons[/tex]
Answer: [tex]12\ gallons[/tex]
Answer:
12
Step-by-step explanation:
1. Figure out how many miles the car can go with one gallon of gasolline
162 ÷ 9 = 18
1 gallon = 18 miles
2. Figure out how many times 18 can go into 216
216 ÷ 18 = 12
12 gallons = 216 miles
*We do this because we know that every time the car drives 18 miles its uses another gallon of gas.
The car will use 12 gallons of gasoline to travel 216 miles.
how do you get from 24 to a hundred
Cross out the numbers below that are NOT equivalent to 500.0.
500.00 5 × 10 5 × 102 50.05 500.500
Answer:
500.00 equal
5 × 10 not equal
5 × 10² equal
50.05 not equal
500.500 not equal
A _____________ is a line that provides an approximation of the relationship between the variables.
Answer:
srat
Step-by-step explanation:hehe i really dont know
Quick please I need this before I go
Answer:
143/63 or 2 and 17/63
Step-by-step explanation:
multiply the length times the width
13/9 x 11/7
The radius of a circle is 1 kilometer. What is the circle's area?
Use 3. 14 for . Square kilometers
Answer:
3.14km^2
Step-by-step explanation:
area of circle= πr^2
=3.14×1^2
=3.14km^2
Answer:
[tex]\boxed{\sf{3.14\ km^2}}[/tex]Step-by-step explanation:
Given:
Use the formula of area of circle.Area of circle:
[tex]\Longrightarrow: \sf{A=\pi r^2}[/tex]
Solutions:
Radius of a circle is 1 kilometer.[tex]\Longrightarrow: \sf{3.14*1^2}[/tex]
Solve.
[tex]\sf{1^2=1*1=1}[/tex]
[tex]\sf{3.14*1=\boxed{\sf{3.14\ km^2}}[/tex]
Therefore, the correct answer is 3.14km².I hope this helps, let me know if you have any questions.
A golf ball has been hit off of the tee at an angle of elevation of 30 degrees and an initial velocity of 160 ft/sec.
The horizontal distance that's traveled by the golf ball based on the velocity given is 138.56feet.
How to compute the distance?From the information given, the golf ball has been hit off of the tee at an angle of elevation of 30 degrees and an initial velocity of 160 ft/sec.
The distance will be:
= 160 × cos30°
=160 × 0.866
= 138.56 feet
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Which term of the AP 2,8,14,20..... Will be 210 more than it's 60th term?
Answer:
95th term
Step-by-step explanation:
the nth term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 2 and d = a₂ - a₁ = 8 - 2 = 6 , then
[tex]a_{n}[/tex] = 2 + 6(n - 1) = 2 + 6n - 6 = 6n - 4
the 60th term is then
a₆₀ = 6(60) - 4 = 360 - 4 = 356
so 210 more than a₆₀ = 356 + 210 = 566
now equate [tex]a_{n}[/tex] to 566 and solve for n
6n - 4 = 566 ( add 4 to both sides )
6n = 570 ( divide both sides by 6 )
n = 95
Answer:
95th term.
Step-by-step explanation:
The sequence of 2, 8, 14, 20 . . . can be predicted by adding 6 to each successive term. This can be written as 6n+2, where n starts at 0 for the first term.
n Value (6n+2)
0 2
1 8
2 14
3 20
4 26
60 362
---
We want to know what term is 210 more than 362. (362+ 210) = 572
We can solve by using the equation in reverse and solving for n:
(6n+2) = 572
6n = 570
n = 95
The 95th term (572) is greater than the 60th term (362) by 210.
Sammy plans to build a kite He has two rods of lengths 4 feet and 3 feet Find the area of the material he will need to cover the kite A: 7 ft2
B: 3 ft2
C: 6 ft2
D: 12 ft2
help me with this one
I need full explanation
50 points+ Brainliest !??
Answer as fast as possible..
The answer is there all I need is the process
This is the answer of your question
4
Adam's
age is 3 years and 6 months.
Zara's age is 2 years and 11 months.
.
Write Adam's age in months as a fraction of Zara's age in months.
Give your fraction in its simplest form.
The question is an illustration of fraction division and Adam's age as a fraction of Zara's age is 7/5
How to represent the age as a fraction?The ages are given as:
Adam = 3 years and 6 months
Zara = 2 years and 11 months
Rewrite the ages in months
Adam = 3 * 12 + 6 = 42 months
Zara = 2 * 12 + 11 = 35 months
Adam's age as a fraction of Zara's age is calculated using:
Fraction = Adam/Zara
This gives
Fraction = 42/35
Simplify
Fraction = 7/5
Hence, Adam's age as a fraction of Zara's age is 7/5
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Consider the triangle
What is the value for x?
yº
25°
90°
What is the value for y?
--
please hurry!
add the degrees 90 and 25 which gives 115° and subtract to give 65°
I am subtracting by 180 because angle on a straight line is 180 hope this helps
Answer: y is 155⁰ X is 65⁰
Step-by-step explanation: y = 180⁰ - 25⁰
X = 180⁰ - (90 + 25) = 180 - 115= 65
Straight line triangle is 180
Total angle in a triangle 180
Which angles are acute?
D
A B
C
Check all that apply.
A. ZDBC
B. ZGFE
C. ZDBA
D. ZMLK
E
14
H
L
M
K
Answer:
B & C
Step-by-step explanation:
Acute angles are sharp-like angle - they are measured between 1° up to 89°. That means acute angles have measurement starting from 1 to 89.
The shape of acute angles, as said, they are namely sharp angles because their vertex and lines form sharp shape.
So what you have to do is to find angles that look like a sharp pencil/pen, probably something that can be understandable:
Sharp-looking measurements are:
∠DBA∠GFEKeep in mind that ∠GFE is really an acute angle, but ∠HFE is a right angle.
Let’s look into more types of angles as shown in choices:
∠DBC is an obtuse angle - it is the angle measurement between 91° up to 179°∠MLK is a right angle - it is the angle measurement of exact 90° - keep in mind, only right angles can have measurement of 90°Hence, acute angles are ∠GFE and ∠DBA
The angles which are acute are ∠GFE and ∠DBA.
What are Angles?Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.
Angles are usually measured in degrees or radians.
Given three figures and corresponding angles.
We have to find the acute angles.
Acute angles are angles which measures less than 90 degrees.
An angle which measure 90 degrees is the right angle which stands vertically.
Acute angles are less than this.
From the figure and options, acute angles are ∠GFE and ∠DBA.
Hence the acute angles are ∠GFE and ∠DBA.
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Find 3 ratios that are equivalent to the given ratio.
2/7
Answer:
I've got lots of ratios for you.
4/14
6/21
8/28
10/35
12/42
14/49
16/56
18/63
To calculate a ratio, next time do this...
If you are comparing one (A) to another (B), your formula would be A/B.
This means you are dividing information A by information B.
For example, if A is 5 and B is 10, your ratio will be 5/10.
Simple as that.
YW!!
Answer:
1) 3:4. 2) 30:40. 3) 45:80
Step-by-step explanation:
15:20 CAN SIMPLIFEY BY 5 SO. 15/5 =3 20/5=4 SO OVERALL ITS 3:4
Farrah borrowed $155 from her brother. She has already paid back $15. She plans to pay back $35 each month until the debt is paid off.
Which describes the number of months it will take to pay off the debt? Select three options.
x + 15 + 35 = 155
35 x + 15 = 155
35 x = 155 minus 15
It will take 8 months to pay off the debt.
It will take 4 months to pay off the debt.
What is 0.¯47 expressed as a fraction in simplest form?
Answer:
The answer would be 47/99
Step-by-step explanation:
Counselors at Rockport High School and Riverdale High School surveyed the graduating seniors to find out their post-high-school plans. Each student plans to attend college, attend technical school, join the military, or go right into the workforce. The results of the survey are shown in the table.
The percentage shows that they were 28% more likely to come from Riverdale High school.
How to calculate the percentage?From the information given, the percentage of those from Rockport will be:
= 25/(25 + 44) × 100.
= 25/69 × 100
= 36.23%
The percentage of those from Riverdale will be:
= 44/(25 + 44) × 100.
= 44/69 × 100
= 63.77%
Therefore, the difference will be:
= 63.77% - 36.23%
= 28% approximately.
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Which is the radius of a circle whose equation is (x-7)^2+(y-10)^2=4
Answer:
2
Step-by-step explanation:
Standard form of a circle (x-h)^2 + (y-k)^2 = r^2
this circle is already in this form
the center will be at h, k or 7,10
the radius^2 = 4 so radius = 2
I need help with trigonometry hw
Answer
See in pic
Step-by-step explanation:
can someone help me please
Answer: area
Step-by-step explanation:
Area is solved with L * W
Volume is solved with L * W * H
Using these formulas we can see that area uses 2-dimensions, the length and the width, while volume uses 3.
Answer:
Area.
Step-by-step explanation:
2 dimentional spaces have only area, and no volume. Volume describes the amount of space within the container
2r +8= 26
» What is the value of r?
meters
Answer:
r = 9 meters
Step-by-step explanation:
2r + 8 = 26 <== subtract 8 from both sides
- 8 - 8
2r = 18 <== divide both sides by 2 to isolate the variable
/2 /2
r = 9 meters
Hope this helps!
Answer:
[tex]\boxed{\sf{r=9}}[/tex]Step-by-step explanation:
To find the value of r, isolate it on one side of the equation.
[tex]\sf{2r+8=26}[/tex]
First, you have to subtract by 8 from both sides.
[tex]\sf{2r+8-8=26-8}[/tex]
Solve.
Subtract the numbers from left to right.
26-8=18
2r=18
Divide by 2 from both sides.
[tex]\sf{\dfrac{2r}{2}=\dfrac{18}{2} }[/tex]
Solve.
Divide the numbers from left to right.
18/2=9
r=9
Therefore, the correct answer is r=9 meters.I hope this helps. Let me know if you have any questions.
Luke's water bottle holds 2,150 milliliters. He drinks 3.5 bottles of water each day. How many milliliters of water does he drink each day?
Answer:
7525 milliliters
Step-by-step explanation:
because if you multiply 2150 by 3.5 you will get that number
Please help!! Will mark brainlyest.
Answer
B
Step-by-step explanation
Please give me brainlist.
Hello people ~
factorise : 5x²+16x+3
Done!
Answer:
Step-by-step explanation:
Remark
If the trinomial is going to factor, it must factor as 5 and 1 paired with 3 and 1 as both 5 and 3 do not factor any further. They are prime numbers.
Let's try this:
(5x + 1) ( 1x + 3)
Both factors must contain an + otherwise something in the given equation would be - when the factors are expanded.
It looks like this works. 5 * 3x + 1x = 16x
Find the first four terms, in thousands, of the geometric series. round to the nearest thousand. a1 = a2 = a3 = a4 =
The geometric series an = 400(1.05)^(n-1) has a common ratio and an initial term
The first four terms are a1 = 400; a2 = 420; a3 = 441 and a4 = 463.05
How to determine the first four terms?The geometric series is given as:
an = 400(1.05)^(n-1)
Substitute 1 for n
a1 = 400 * (1.05)^(1-1)
Evaluate the product
a1 = 400
Substitute 2 for n
a2 = 400 * (1.05)^(2-1)
Evaluate the product
a2 = 420
Substitute 3 for n
a3 = 400 * (1.05)^(3-1)
Evaluate the product
a3 = 441
Substitute 4 for n
a4 = 400 * (1.05)^(4-1)
Evaluate the product
a4 = 463.05
Hence, the first four terms are
a1 = 400; a2 = 420; a3 = 441 and a4 = 463.05
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Answer:
a1 = 400
a2 = 420
a3 = 441
a4 = 463
C
Step-by-step explanation:
12
14
Line tis graphed below. Triangle ABC and triangle CDE are similar triangles,
D
8
line
Which statement is true?
A The slope of AC is less than the slope of CE.
B The slope of AC is equal to the slope of CE.
С The slope of AC is greater than the slope of CE.
D Line t has a variable slope.
The rise/run of AC and CE in the similar triangles are the same, the true statement is: B. slope of AC = slope of CE.
What is the Slope of the Sides of Similar Triangles?On a coordinate plane, the corresponding sides of two triangles are always the same because the ratio of the rise over run is always the same.
Triangles ABC and CDE are similar triangles, therefore the rise over run of AC and CE, which is the slope, will be the same.
Thus, slope of AC = slope of CE.
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If 840 CLASS eighth graders, making up 4/5 of total eighth, studied algebra during summer, how many eighth graders are enrolled with CLASS
Answer:
1008
Step-by-step explanation:
If 4/5 of eighth graders, or 80%, are enrolled with class, there are still 20% of students that didn't study. That means you add 168, the 20%, and you'll get 1008.