Answer:
35
Step-by-step explanation:
E = M - 12
M = 6 + I
I = P x 2
P = 5
I = 10
M = 16
E = 4
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Quinn likes to knit hats and mittens for friends and family. Last fall, she knitted 4 hats and 3 pairs of mittens, which took a total of 56 hours. This fall, she knitted 3 hats and 1 pair of mittens, which took a total of 27 hours. If each hat and each pair of mittens takes the same amount of time to knit, how long does it take Quinn to knit a hat and a pair of mittens?
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
I’ll mark you a branilyst if you answer this question
Answer:
The answer is 8 cm, i would show work but im in school
Please help me I need it it is my last question
Answer:
C
Step-by-step explanation:
Answer:
The best deal is c. 5 pints of oil for $8
Step-by-step explanation:
What is f(2) if f(x) = 2x-5 and f(4) if f(x) = -3x + 15
step by step please!
Answer:
f(2) = - 1 and f(4) = 3
Step-by-step explanation:
To evaluate f(2), substitute x = 2 into f(x), that is
f(2) = 2(2) - 5 = 4 - 5 = - 1
To evaluate f(4), substitute x = 4 into f(x)
f(4) = - 3(4) + 15 = - 12 + 15 = 3
What is 4 x 4 x 4 x 4 x 4 x 4 in exponential notation?
Answer:
[tex]4^{6}[/tex]
4096
Step-by-step explanation:
i tried
Answer:
[tex]4^{6}[/tex]
Step-by-step explanation:
4 x 4 x 4 x 4 x 4 x 4 it's really just counting how many 4's there are. In this case there are 6 and the number being repeated 6 times is 4 so we only put it as [tex]4^{6}[/tex]. I know I'm late just wanted to answer :'D
How do I solve this? I’m receiving steps which aren’t clear and I’m getting stuck in them.
Marta put $4.89 in her coin bank. Each day she added 1 quarter, 1 nickel, and 6 pennies. How much does she add each day? How much money was in her coin bank after 6 days?
Step-by-step explanation:
Marta put $4.89 in her coin bank.
Each day she added 1 quarter, 1 nickel, and 6 pennies.
We know that,
1 quarter = 25 cents
1 nickel = 5 cents
1 penny = 1 cent
⇒ 6 pennies = 6 cent
Total amount added in 6 days,
= 25 cents + 5 cents + 6 cent
= 36 cents
We know that,
1$ = 100 cents
36 cents = $0.36
Total money in her bank,
= $4.89 + $0.36
= $5.25
Hence, this is the required solution.
Find 6.3x10^-5/9x10^-3 in scientific notation.
Answer:
-7 × 10
Step-by-step explanation:
Explanation:
6.3
×
10
5
is the same value as
63
×
10
4
So we have:
63
×
10
4
9
×
10
3
ddd
→
ddd
63
9
×
10
4
10
3
ddddddddd.d
→
ddd
63
9
×
10
If the sum of the digits is exactly divisible by 3 then the actual number is also exactly divisible by 3
→
6
+
3
=
9
so we will divide both top and bottom by 3 to simplify the fraction.
ddddddddd.d
→
ddd
63
÷
3
9
÷
3
×
10
Note that:
63
÷
3
9
÷
3
=
21
÷
3
3
÷
3
=
7
1
=
7
so we have:
(
6.3
×
10
5
)
÷
(
9
×
10
3
)
=
7.0
×
10
Negative version works the same exact way but with a negative sign
The scientific notation of (6.3 × 10⁻⁵) / (9 × 10⁻³) on simplifying is 7 × 10⁻³.
What is scientific notation?
Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It is also known as the standard form in the UK and scientific form, standard index form, and standard form.
Given:
The expression is (6.3 × 10⁻⁵) / (9 × 10⁻³),
The values in the negative power in the numerator go to the denominator and vice versa,
(6.3 × 10⁻⁵) / (9 × 10⁻³) = (6.3 × 10³) / (9 × 10⁵)
Divide the 6.3 by 9 as shown below,
(6.3 × 10⁻⁵) / (9 × 10⁻³) = 0.7 / 10²
(6.3 × 10⁻⁵) / (9 × 10⁻³) = 0.7 × 10⁻²
(6.3 × 10⁻⁵) / (9 × 10⁻³) = 7 × 10⁻³
To know more about scientific notation:
https://brainly.com/question/18073768
SPJ2
A triangle has A, B, and C located at(-3, 0). (3, 0), and (0, 4), respectively, on the coordinate plane. The medians of (triangle)ABC intersect
at the point with which coordinates? Round each coordinate to the nearest tenth if necessary.
A. (1.5, 2)
B. (-1.5, 2)
C. (0, 1.3)
D. (0, 0)
Given:
Vertices of a triangle ABC are A(-3,0), B(3,0) and C(0,4).
To find:
The intersection point of all the medians of the triangle ABC.
Solution:
We know that, intersection point of all the medians of a triangle is called centroid.
The formula of centroid is
[tex]Centroid=\left(\dfrac{x_1+x_2+x_3}{3},\dfrac{y_1+y_2+y_3}{3}\right)[/tex]
Vertices of a triangle ABC are A(-3,0), B(3,0) and C(0,4).
[tex]Centroid=\left(\dfrac{-3+3+0}{3},\dfrac{0+0+4}{3}\right)[/tex]
[tex]Centroid=\left(\dfrac{0}{3},\dfrac{4}{3}\right)[/tex]
[tex]Centroid=\left(0,1.333...\right)[/tex]
Round each coordinate to the nearest tenth.
[tex]Centroid=\left(0,1.3\right)[/tex]
The coordinates of required point are (0,1.3). Therefore, the correct option is C.
7. By selling a bicycle for * 2,850, a shopkeeper gains 14%. If the profit is reduced to 8%, then the selling price
will be
(a) 2,600
(b) 2,700
(c) 2,800
(d) 3,000
with steps
Selling price of a bicycle = 2850
Profit percentage = 14%
We know that :
[tex]\color{plum}\tt{Cost \: \: price = \frac{Selling \: \: price \: \times \: 100}{100 \: \: + \: \: profit \: \%} }[/tex]
Then, the cost price of this bicycle :
[tex] = \tt \frac{2850 \times 100}{100 + 14} [/tex]
[tex] = \tt \frac{285000}{114} [/tex]
[tex] =\color{plum} \tt2500[/tex]
Thus, the cost price of this bicycle = 2500
In another scenario :
Profit percentage = 8%
Cost price of the bicycle = 2500
Then, Selling price will be equal to :
Let x be the selling price of the bicycle.
[tex] = \tt2500 = \frac{\: x \: \times 100}{100 + 8} [/tex]
[tex] = \tt2500 = \frac{100x}{108} [/tex]
[tex] =\tt 100x = 2500 \times 108[/tex]
[tex] = \tt100x = 270000[/tex]
[tex] =\tt x = \frac{270000}{100} [/tex]
[tex] =\color{plum}\tt x = 2700[/tex]
Therefore, the selling price with a profit of 8% will be = 2700
Enlarge the triangle by scale factor 1.5 using (4,4)
as the center of enlargement.
Answer:
The answer is below
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, dilation and rotation.
Dilation is the enlargement or reduction of the size of a figure. If a point A(x, y) is dilated about the center of origin by a factor k, the new point is at A'(kx, ky)
If a point A(x, y) is dilated about the point (a,b) by a factor k, the new point is at A'(k(x - a) + a, k(y - b) + b)
From the image the vertex of the triangle is at (0,0), (-2, 4) and (-2, 0). If the triangle is enlarged by scale factor 1.5 using (4,4) as the center of enlargement.. Hence the new points are:
For (0,0): (1.5(0 - 4) + 4, 1.5(0 - 4) + 4) = (-2, -2)
For (-2,4): (1.5(-2 - 4) + 4, 1.5(4 - 4) + 4) = (-5, 4)
For (-2, 0): (1.5(-2 - 4) + 4, 1.5(0 - 4) + 4) = (-5, -2)
Solve.
Okay here is 20 letters brainy
Answer:
-12
Step-by-step explanation:
4 1/2 - 5 1/8 = -0.625
7.5 x -0.625 = -12
Please help me I’ll mark brainliest
Answer:
Here I just did the Workin out. don't worry it's correct. Have a nice day!!
I need helppppppppppppp
Answer:
use math
Step-by-step explanation:
SOMEONE SMART DO ALL DAY 13 FOR ME, ILL GIVE BRAINLIEST PLZZ IM CRYING
Answer:
12 shamrocks
6 lbs
3/4 =6/8
Step-by-step explanation:
Different cities have different sales tax rates. Here are the sales tax charges on the same items in two different cities.
Complete the tables.
I think the lamp is 26.5? because maybe it is 25+1.50 since the first one was 8.00+0.48 I'm not sure about the others sorry:( I hope you'll get your answer though!
g(x) = 3(x - 8) Find g(-2)
Answer:
Step-by-step explanation:
if g(x)=3x-8
replace x with -2
g(-2)=3(-2)-8=-6-8=-14
exact value of tan 5pi/12
Answer:
[tex]\displaystyle \tan\frac{5\pi}{12}=2+\sqrt{3}[/tex]
Step-by-step explanation:
Tangent Half Angle
Given an angle θ, then:
[tex]\displaystyle \tan {\frac {\theta }{2}}=\frac {\sin \theta }{1+\cos \theta}[/tex]
We are required to find:
[tex]\tan\frac{5\pi}{12}[/tex]
But it cannot be found in tables of main angles. We can use the angle
[tex]\theta = \frac{5\pi}{6}[/tex]
And use the formula above to find the required operation. Hence:
[tex]\displaystyle \tan\frac{5\pi}{12}=\tan\frac{\frac{5\pi}{6}}{2}[/tex]
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac {\sin \frac{5\pi}{6} }{1+\cos \frac{5\pi}{6}}[/tex]
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac {\frac{1}{2} }{1-\frac{\sqrt{3}}{2}}[/tex]
Operating:
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac {\frac{1}{2} }{\frac{2-\sqrt{3}}{2}}[/tex]
Simplifying:
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac{1}{2-\sqrt{3}}[/tex]
Rationalizing:
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac{1}{2-\sqrt{3}}\cdot \frac{2+\sqrt{3}}{2+\sqrt{3}}[/tex]
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac{2+\sqrt{3}}{2^2-\sqrt{3}^2}[/tex]
[tex]\displaystyle \tan\frac{5\pi}{12}=\frac{2+\sqrt{3}}{4-3}[/tex]
Finally:
[tex]\boxed{\displaystyle \tan\frac{5\pi}{12}=2+\sqrt{3}}[/tex]
b.
10 ft
C
3 ft
area of the rectangle =
area of the triangle =
Step-by-step explanation:
rectangle=l×w
10×3=30ft
triangle=b×h/2
10×3/2
30/2
=15ft
Background
Layout-
Theme
Testos
2
Freda bought 6 gallons of gasoline for $19.14
What was the unit price of this gasoline?
Valentines $54 for nine hours of work at that rate how long will she have to work to earn $900
Answer:
Step-by-step explanation:
63 hours
hope it helps
Answer:
a little more than 16 1/2 hours but you should round it up to 17 hours
Step-by-step explanation:
If she can only work hours and not half hours or anything, the answer would be 17 hours and she will have a little more than $900 because 16 hours would be too little time.
(sorry if this is confusing but i hope it helped)
Karen recorded the numbers of people getting off her tram.
The mean number for 10 stops is 6.3.
After the tram stops at the 11th stop, the mean is 8.6.
How many people got off the tram at the 11th stop?
Answer:
32 people got off
Step-by-step explanation:
For the 10th stop, we can get the total number of people that have gotten off
Mathematically, this is the product of the mean and the number of stops
= 10 * 6.3 = 63 people
Now, for the 11th stop, the total becomes
11 * 8.6 = 94.6
Hence;
(94.6-63) = 31.6
since there are no fractional humans, the number of people getting off is 32
Alright here is the next question
Answer:
Formula: length x width
Area: 51 km
Step-by-step explanation:
Area: length x width
Area: 17 x 3 = 51
Answer:
For the forumula its Area= LW (Length and width)
A= 51km
If you are trying to find the perimeter, it should be 40.
Please help ILL MARK U BRAINLIEST!!
The cost of 5 pounds of bananas is $3.25. What is the constant of proportionality that relates the cost in dollars, y, to the numbers of pounds of bananas, x?
Answer:
0.65:1
Step-by-step explanation:
solve 2x to the power of 2 = 32
Answer:
x=4
Step-by-step explanation:
x
=
4
or
x
=
−
4
Explanation:
First divide throughout by
2
to get
x
2
=
16
Now take the square root on both sides to get
x
=
±
4
.
You may now substitute the values of
x
=
4
and
x
=
−
4
back into the original equation and check that it satisfies the equation which it does.
Solve for k: 17 + k = 29 k =
Answer:
k=12
Step-by-step explanation:
k=29-17
29-17=12
What is the length of EF in the right triangle below?
Answer: A.)
Step-by-step explanation:
1,296.
Answer:
I think the answer is 36
52,428 divided by 34
Answer:
1542
Step-by-step explanation:
Which relationship describes angles 1 and 2? Select each correct answer.
A)complementary angles
B) vertical angles
C)supplementary angles
D)adjacent angles
Brainly for the first person to give a good explanation and answer! :)
Answer:
d
Step-by-step explanation:its right
147 is what percdnt of 210
Answer:
70%
Step-by-step explanation:
Answer:
70%
Step-by-step explanation:
147/x * 210/100
147*100= 14700
14700/210 = 70
70%