Answer:
hats = 5
mittens = 12
Step-by-step explanation:
hats = h
mittens = m
Uknown:
- How many hours per hats
- How many hours per mittens
Known:
- How many hours in total
- How many pairs of mittens made
- How many pairs of hats made
4h + 3m = 56
3h + 1m = 27
3h + m = 27
m = -3h + 27
4h + 3m = 56
4h + 3(-3h + 27) = 56
4h - 9h + 81 = 56
-5h = 56 - 81
-5h = -25
-5h/5 = -25/5
-h = -5
-h/-1 = -5/-1
h = 5
3h + m = 27
3(5) + m = 27
15 + m = 27
m = 27 - 15
m = 12
Check: h = 5, m = 12
4h + 3m = 56
3h + 1m = 27
4h + 3m = 56
4(5) + 3(12) = 56
20 + 36 = 56
56 = 56
3h + 1m = 27
3(5) + (12) = 27
15 + 12 = 27
27 = 27
if the radius is 14cmand The perimeter of the sector is 57.32cm.
what is the size of the angle?
Answer:
120°
Step-by-step explanation:
A sector of a circle is the portion or region of a circle enclosed by two radii and an arc. The perimeter of a the sector of a circle is given by the formula:
Perimeter of sector = [tex]\frac{\theta}{360} *2\pi r[/tex] + 2r
Where θ is the angle which forms the sector and r is the radius of the circle.
Given that Perimeter of sector = 57.32 cm, radius (r) = 14 cm, we can find the angle θ using:
Perimeter of sector = [tex]\frac{\theta}{360} *2\pi r[/tex] + 2r
[tex]57.32=\frac{\theta}{360} *2\pi *14+2(14)\\\\57.32-28=\frac{\theta}{360} *2\pi *14\\\\29.32=\frac{\theta}{360} *2\pi *14\\\\ \frac{\theta}{360}=\frac{29.32}{2\pi *14} \\\\\frac{\theta}{360}=0.33\\\\\theta=120^o[/tex]
solve for missing angle
Answer:
Angle 1 = 88 degrees
Angle 2 = 42 degrees
Angle 3 = 113 degrees
Step-by-step explanation:
Angle 2 is a vertical angle to the angle whose measure is 42 degrees. Therefore, they are congruent. (Angle 2 = 42 degrees)
The Interior Angle Sum states that the sum of all the angles inside of a triangle always add up to 180 degrees.
180- (50+42)
180-92
Angle 1 = 88 degrees
180- (42+25)
180-67
Angle 3 = 113 degrees
Hope this helps. Have a nice day you amazing bean child.
Answer:
All my answers and work is in the screenshot! :)
Step-by-step explanation:
need help asp pls The 8 students in Mrs. Howard's class were asked how many minutes it takes them to get to school in the morning. Here is what they answered:
14, 11, 16, 10, 6, 5, 5, 7
Answer:
what's the question thougu
Which statement describes a series of transformations that would show that Figure A is congruent to Figure B?
A. Figure A is reflected over line m and translated 4 spaces to the right.
B. Figure A is reflected over line m and translated 7 spaces to the right.
C. Figure A is reflected over line k and translated 8 spaces down.
O D. Figure A is translated 4 units down and 4 units to the right.
E. Figure A is translated 8 units down and 7 units to the right.
Answer:b
Step-by-step explanation:
Question 10
10 pts
Miguel wants to repair his home. He places a 17-foot ladder against the side of the house 8feet
from the base of the house. What is the height of Miguel's home, x, from the ground to the top of
the ladder at the roof, to the nearest tenth of a foot?
There are 17 adult dogs and 8 puppies at the dog park. Which statement is
correct?**
a. The ratio of adult dogs to puppies at the park is 8:17.
b. The ratio of adult dogs to all dogs at the park is 17:8.
c. The ratio of puppies to adult dogs at the park is 25:8.
d. The ratio of puppies to all dogs at the park is 8:25.
Answer:
B?!
I'm so sorry if I am wrong !
Step-by-step explanation:
Have A Wonderful Day !!
5x + 2(11-1) = 30
Solve the equation/Explain each step
Answer:
x=2
Step-by-step explanation:
the picture above shows how to go through the equation. I used PEMDAS
Answer:
2.
Step-by-step explanation:
5x + 2(11-1) = 30
First, solve the ones inside the bracket:
11 - 1 = 10
Next, multiply the number inside the bracket by the number next to bracket:
2 × 10 = 20
The equation will now be:
5x + 20 = 30
Since 5x and 20 are not like terms, carry +20 over to the other side making it 30 - 20:
5x = 30 - 20
5x = 10
Now, divide both sides by the coefficient of x (5):
5x/5 = 10/5
x = 2
The answer to the equation is 2.
Find the volume of the figure. Round to the nearest hundredth if needed.
Answer:
4,914 i think, when rounding it, it will be 4,920
According to the United States Census Bureau. Just about 5 1.5% of the adults in America are women. What would you say is the probability that the next adult you run into is female? What's the probability of that person being male?
Answer:
[tex]P(F) = 0.515[/tex]
[tex]P(M) = 0.485[/tex]
Step-by-step explanation:
Given
[tex]Female = 51.5\%[/tex]
Solving (a): Probability of running into a female
To do this, we simply convert the given proportion to decimal
[tex]P(F) = 51.5\%[/tex]
Convert to fraction
[tex]P(F) = \frac{51.5}{100}[/tex]
[tex]P(F) = 0.515[/tex]
Solving (b): Probability of running into a male
Represent this with [tex]P(M)[/tex]
To solve this, we apply the concept of probability complement which states that:
[tex]p + q = 1[/tex]
In this case:
[tex]P(F) + P(M) = 1[/tex]
Substitute 0.515 for P(F)
[tex]0.515 + P(M) = 1[/tex]
Subtract 0.515 from both sides
[tex]0.515-0.515 + P(M) = 1 - 0.515[/tex]
[tex]P(M) = 1 - 0.515[/tex]
[tex]P(M) = 0.485[/tex]
tom goes on hoilday south africa
Answer:
Yes, good for him. lol
Step-by-step explanation:
Answer:
what he do there?
which of the following does not describe a relation that is a function? (please help i will give u brainliest)
Answer:
answer is a but please mark me brainliest if I m correct
A brownie recipe requires 4 cups of flour for 6 persons how much flour do you require for 24 persons
At pizza pi 6%of the pizzas made last week had extra cheese if 3 pizzas had extra cheese how many pizzas in all were made last week
Answer:
300
Step-by-step explanation:
SOMEONE PLEASE HELP MEEE!!!!!!!!!!!
Answer:
81.6814 ft
Step-by-step explanation:
Solve for v
when
d = 10 and
t=5
HELP!!!!! Suppose the distance between two cities on a map is 5.2in the scale is 1 in =80miles what's the actual distance between the cities.
A) 408 miles
B) 400 miles
C) 424 miles
D) 416 miles
Answer:
80*5.2= 416
D: 416 miles
Robin had 7/8 pound of butter when she started baking a cake. She used 1/4 pound of butter while baking. How much butter was left after she was done baking?
Answer:
[tex]\dfrac{5}{8}[/tex] butter was left after she was done baking.
Step-by-step explanation:
Robin had 7/8 pound of butter when she started baking a cake. She used 1/4 pound of butter while baking.
We need to find how much butter was left after she was done baking.
It can be calculated as follows,
Left =
[tex]=\dfrac{7}{8}-\dfrac{1}{4}\\\\=\dfrac{7}{8}-\dfrac{2}{8}\\\\=\dfrac{7-2}{8}\\\\=\dfrac{5}{8}[/tex]
Hence, [tex]\dfrac{5}{8}[/tex] butter was left after she was done baking
I need help ! It’s says try to analyze it for clues about its purpose and meaning .
Answer:
See explanation
Step-by-step explanation:
The scatter plot shows that there is a negative linear trend. That as the distance to the coffee shop increases, whatever the y value represents goes down.
6 below and 6 above
(1,4) (7,1) Coordinates of the two points on the trend line
I can't see what the Y axis represents so can't really explain the prediction but as the distance to the coffee shop increases, whatever the Y axis represents will decrease.
Simplify each algebraic expression.
2a +3(a +7)–(3a +3)
Answer:
2a+18Step-by-step explanation:
[tex]2a +3(a +7)-(3a +3)\\\\Expand\: 3(a +7) :\\3a+21\\\\=2a+3a+21-\left(3a+3\right)\\\\-(3a+3)=-3a-3\\\\=2a+3a+21-3a-3\\\\Simplify\\\\=2a+18[/tex]
Pls help asap!!!
Solve for x . 2x=y
PLEASE HELP PLS PLS WITH MY MATH
You bought an item for $24.00, but sold it for a 30% mark up in your store. What price did you sell this item for?
Which of the following represents the factorization of the binomial below?
x² - 121
O A. (x-11)(x-11)
B. (x +11)(x+11)
C. (x +11)(x-11)
D. (X)(x-121)
Answer:
C. (x + 11) (x - 11)
Step-by-step explanation:
x² - 121
= x² - 11²
= (x + 11) (x - 11) (Difference of two squares)
A crane lifts a pallet of concrete blocks 7ft from the back of a truck. The truck drives away and the crane lowers the pallet 11ft What is the final position of the pallet relative to where it started in the back of the truck?
Answer:
The position of the concrete relative to its initial position is 4ft behind its initial position
Step-by-step explanation:
Let us analyze the problem following the sequence of events.
First of all, the crane is initially 7 ft from the back of the truck.
Once the truck drives away, the crane lowers the concrete at 11 ft away from the back of the truck.
To get this distance relative to the initial position, we have to subtract the initial position from the final position of the concrete.
This will be
11ft - 7ft = 4 ft
The position of the concrete relative to its initial position is 4ft behind its initial position
X – y=11
3x + 10y= -6
Answer:
(8, - 3 )
Step-by-step explanation:
Given the 2 equations
x - y = 11 → (1)
3x + 10y = - 6 → (2)
Multiplying (1) by 10 and adding to (2) will eliminate the y- term
10x - 10y = 110 → (3)
Add (2) and (3) term by term to eliminate y
13x + 0 = 104
13x = 104 ( divide both sides by 13 )
x = 8
Substitute x = 8 into either of the 2 equations and solve for y
Substituting into (2)
3(8) + 10y = - 6
24 + 10y = - 6 ( subtract 24 from both sides )
10y = - 30 ( divide both sides by 10 )
y = - 3
solution is (8, - 3 )
PLEASE ANSWER QUICK!!!
Answer:
7.2 or 36/5
Step-by-step explanation:
How does 5 x(2)^n-1 simplify to 5/2 x (2)^n ?
Please help me
9514 1404 393
Explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
1/a^b = a^-b
__
[tex]5\times2^{n-1}=5\times(2^n)(2^{-1})=5\times2^n\times\dfrac{1}{2}=\boxed{\dfrac{5}{2}\times2^n}[/tex]
Please solve this for me! Thank you so much I appreciate you. tpwk
Answer:
C
Step-by-step explanation:
Please help!
Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses whenever possible.
a. -4 and 4b + 4
b. 3x and 1 -3x
Answer:
Does this problem have a picture, I just need to make sure I am seeing everything correctly thanks!
Step-by-step explanation:
a. -4 and 4b + 4 = 4b
-4 and 4b + 4 = -4 + (4b + 4) = 4b + (4 - 4) = 4b + 0 = 4b
b. 3x and 1 - 3x = 1
3x and 1 - 3x = 3x + (1 - 3x) = 1 + (3x - 3x) = 1 + 0 = 1
Plssssssssssssssssss help!!
What transformations occur in the following function?
[tex]f(x)=5^{x-3}+2[/tex]
a.) right 3, up 2
b.) left 3, down 2
c.) left 3, up 2
d.) right 3, down 2
Answer:
its b
Step-by-step explanation:
Just plain math. I was on this question