What is the unit rate for the ratio 4/7: 8/21?
Answer:
The unit rate is 1.5
Step-by-step explanation:
Given
[tex]Ratio = 4/7 : 8/21[/tex]
Required
Determine the unit rate
To do this, we need to express the ratio as:
[tex]Ratio = m : 1[/tex]
Where m is the unit rate
[tex]Ratio = 4/7 : 8/21[/tex]
Express as fraction
[tex]Ratio = \frac{4/7 }{ 8/21}[/tex]
Solve
[tex]Ratio = \frac{4}{7} * \frac{21}{8}[/tex]
[tex]Ratio = 1.5[/tex]
Express as ratio
[tex]Ratio = 1.5 : 1[/tex]
Hence, the unit rate is 1.5
MIDDLE SCHOOL MATH On the subway 8 out of 10 people are carrying a briefcase. Based on this information, if there are 700 people on the subway, then about how many do NOT have a briefcase?
Answer:
140
Step-by-step explanation:
If 8 out of 10 are carrying a briefcase, that means 2 out of 10 are not carrying one.
Use a proportion to find how many don't have a briefcase with 700 people
Let x represent the number of people without a briefcase:
[tex]\frac{2}{10}[/tex] = [tex]\frac{x}{700}[/tex]
Cross multiply and solve for x
10x = 1400
x = 140
So, 140 people do not have a briefcase
Answer:
140
Step-by-step explanation:
8/10 people, there's 700 people
10 multiplied by 70 =700.
2 people dont have briefcases = 2 times 70=140
x - 75 = 200
whats the answer make sure to do a explanation
Answer:
275
Step-by-step explanation:
x- 75 = 200
add 75 to both sides of equation
x = 275
As the city planner of Right City, you are responsible to report information to help the Board of Supervisors make decisions about the budgets for the fire and police departments. The board has asked for a report with answers to the following questions. Each grid unit in the figure at right represents 1 mile. For fire safety, bushes will be cleared along the perimeter of the city. What is the length of the perimeter? Include all of your calculations in your report. Is there a way to determine if the triangle is a right triangle or not?
Answer: I took a screen shot hope it helps
Step-by-step explanation:
Ms. Jaffey had a total of 428.5 ounces of pretzels to put into 5 bowls for a party. She put an equal number of ounces of pretzels into each bowl. How many ounces of pretzels did Ms. Jaffey put into each bowl?
Ms. Jaffey put approximately 85.7 ounces of pretzels into each bowl.
To find out how many ounces of pretzels Ms. Jaffey put into each bowl, we need to divide the total number of ounces by the number of bowls.
Ms. Jaffey had a total of 428.5 ounces of pretzels, and she distributed them equally among 5 bowls. Therefore, we can divide the total number of ounces by 5 to determine the amount in each bowl.
428.5 ounces ÷ 5 bowls = 85.7 ounces.
So, Ms. Jaffey put approximately 85.7 ounces of pretzels into each bowl.
Since it's unlikely to have exact measurements when dividing a total quantity into equal parts, we round the result to one decimal place, giving us 85.7 ounces. This means that each bowl contains approximately 85.7 ounces of pretzels.
To learn more about the division;
https://brainly.com/question/13263114
#SPJ6
what is the y-intercept
it is 5.
but wth is x intercept
Mia, Eli, and Doug are
comparing the sizes of
their movie collections.
Ell has twice as many
movies as Mia. Doug has
14 more movies than
Mia. Write an expression
to represent the total
movies the friends have.
Answer:
4m + 14
Step-by-step explanation:
m = # movies Mia has
2m = # movies Eli has
14 + m = # movies Doug has
Total: m + 2m + 14 + m = 4m + 14
Status
Recovery
ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]°
7D
110%
AK
B.
→C
Angles are not drawn to scale.
Enter
Answer:
jhbujnhjnv
Step-by-step explanation:
vnjhbjhbjmb
Answer:
x=70°
Step-by-step explanation:
x+110=180 linear pair
x=180-110=70
How would you describe the tick marks on the number line between the tenths?
Answer:
millimeters....
Find the equation of the circle with center at (3, -2) and radius of 3.
Formula to help you get the answer:
(x - h)² + (y - k)² = r²
hope this helps!
Who has walked closer to 1 mile than to 0 miles?
Answer: Mr. Nunez
Hope this helps :)
5. Consider kite HIJK. If HK = 8 and HP = 5, find KP.
H
К.
Р
Answer:
Step-by-step explanation:
KP²+HP²=KH²
KP²+5²=8²
KP²=64-25=39
KP=√39
zoom in to see the numbers and rotate to see the green and yellow parts
The first one is less
What is the slope of the line that passes through the points (-5, -7)(−5,−7) and (4, -1) (4,−1)
Answer:
2/3
Step-by-step explanation:
REmember that the slope of a line is y/x. To find this, we must use the formula:
y2-y1/x2-x1=y/x
So this is -1 - -7/4- -5. The -1 -- 7 is actually -1+7. This is 6, meaning y equals 6.
The x is 4 - - 5 is actually 4+5. This is 9, meaning x is equal to 9.
We can now write this as y/x. This would be 6/9.
Once we simplfy this, we get 2/3.
Answer:
2/3
Investigation of a cake box
Answer:
ok
Step-by-step explanation:
Pls only give direct answers
Answer:
B
Step-by-step explanation:
PLEASE HELP !! ILL GIVE 40 POINTS ; PLUS BRAINLIEST !! DONT SKIP ANSWER.
Answer:
OPS and TSP,
QPS and PSR
Step-by-step explanation:
The alternate interior angles look like the picture provided below. Next time, don't clickbait with the wrong amount of points.
QPS is included but isn't one of the answers because they it's not a multiple choice question.
14.2 as a mixed number.
I need help on how to understand this, not just the answer. Please and thank you!
Answer:
14 1/5
Step-by-step explanation:
okay so first we will convert the decimal to fraction
14.2= 142/10= 71/5
now we convert improper fraction to mixed fraction:
71/5= long division method
14
5 |71
-5
21
20
1
quotient=14 remainder=1
now the remainder is gonna be as the numerator, the number which we divide the other number (5) would be denominator and the quotient is gonna be on the side
so...... 14 1/5
A circular mirror has a diameter of 12 inches. And a circular frame that is 3 inches wide surrounds the mirror. What is the combined area, in square inches, of the circular mirror and the frame? *
Answer:
254.5 in.^2
Step-by-step explanation:
diameter of mirror = 12 in.
radius of mirror = diameter/2 = 13 in. / 2 = 6 in.
frame width = 3 in.
radius if combined mirror and frame = 6 in. + 3 in. = 9 in.
A = (pi)(r^2)
A = 3.14159 * (9 in.)^2
A = 3.14159 * 81 in.^2
A = 254.5 in.^2
look at pic 10 pts will mark brainilest
Answer:
48
Step-by-step explanation:
6x8=48
6 baked a cake for the 8
--------48-------
= REAL NUMBERS Evaluating a quadratic expression: Integers Evaluate the expression when n=4. n2-5n+6
Answer:
-2
Step-by-step explanation:
I got it wrong and it told me negative 2 was the correct answer lol
PLEASE HELP! I WILL GIVE YOU BRAINLIEST
Answer:
A(-3,-4)
B(-1,-2)
C(-4,-1)
How many ounces are in 2 pounds
Answer:
the answer is 32 ounces
Answer:
In 2 pounds, there are 32 ounces.
Explanation:
1 pound = 16 ounces
3
4× 20=
3 × 20
4 =
please help fast
Answer:
[tex]680, 612[/tex]
Step-by-step explanation:
[tex]34[/tex]×[tex]20=680[/tex]
[tex]3[/tex]×[tex]204=612[/tex]
find the volume of a rectangular prism with a base area of 13 ft.² and a height Of 7 feet
Answer: 91 ft
V = b x h
V = 13 x 7
V = 91
Finish the problem yourself :) What is the length of the c? 225 = c^2
Answer:
c= 15
Step-by-step explanation:
c^2 = 225
(square root both sides)
c= square root of 225
c= 15
A fair number cube and a spinner are used in a game. The faces of the number
cube are labeled 1 through 6. The spinner has an equal chance of landing on 1 of 5
colors: red, green, blue, yellow or black. What is the probability of a player rolling an
even number and then spinning green?
Answer:
1 /10
Step-by-step explanation:
Fair cube ; numbered (1 - 6)
Spinner ; (red, green, blue, yellow or black)
Even numbers = (2, 4, 6)
Probability of obtaining an even number on rollin g a fair cube :
Probability = required outcome / Total possible outcomes
P(even number) = 3 /6 = 1/2
P(green color on spinner) = 1 /5
P(even number and green color) = 1/2 * 1/5 = 1/10
what would been the volume?
Answer:
960 cm²
Step-by-step explanation:
Volume = height x length x width
Volume = 16 x 12 x 10
Volume = 1920 cm²
Since this prism is half
Volume = 1/2 ( 1920)
Volume = 960 cm²
Find the exact (leave pi) and the approximate ( pi = 3.14 ) circumference for each circle
(#s A-F ONLY)
Answer/Step-by-step explanation:
a. Circumference (C) = πd
d = 12 cm
π = 3.14
Exact value of C = π*12 = 12π cm
Approximate value of C = 12*3.14 = 37.68 cm
b. Circumference (C) = πd
d = 8 m
π = 3.14
Exact value of C = π*8 = 8π m
Approximate value of C = 8*3.14 = 25.12 m
c. Circumference (C) = πd
d = 6 km
π = 3.14
Exact value of C = π*6 = 6π km
Approximate value of C = 6*3.14 = 18.84 km
d. Circumference = πd
d = 9 ft
π = 22/7
Exact value of C = π*9 = 9π ft
Approximate value of C = 9*22/7 = 28.2857143 ≈ 28.29 ft (nearest hundredth)
e. Circumference = 2πr
r = 4 mm
π = 22/7
Exact value of C = 2*π*4 = 8π mm
Approximate value of C = 2*22/7*4 = 25.1428571 ≈ 25.14 mm (nearest hundredth)
f. Circumference = 2πr
r = 7 mi
π = 22/7
Exact value of C = 2*π*7 = 14π mi
Approximate value of C = 2*22/7*7 = 44 mi (nearest hundredth)
what is the value of the digit 8 in the number 78000? please no links
Answer:
The value of eight in the number 78000 is 8000.
Step-by-step explanation:
70,000+8,000=78,000