Complete Question
A peanut butter cookie recipe calls for 3 1/2 cups of flour to make 6 dozen cookies. How many cups of flour must be used to make 20 dozen?
Answer:
11 2/3 cups of flour
Step-by-step explanation:
From the above question:
6 dozen = 3 1/2 cups of flour
20 dozen = x
Cross Multiply
6 dozen × x = 20 dozen × 3 1/2 cups of flour
x = 20 dozen × 3 1/2 cups of flour/6 dozen
x = 20 × 7/2 /6
x = 140/2 ÷ 6
x = 140/2 × 1/6
x = 140/12 cups of flour
x = 11 8/12
= 11 2/3 cups of flour
Therefore, 11 2/3 cups of flour must be used to make 20 dozen.
On two investments totaling $6,500, Lydia lost 7% on one and earned 8% on the other. If her net annual receipts were $364, how much was each investment?
Answer:
$3,442.40
$3,057.60
Step-by-step explanation:
The computation of the each investment is as follows:
let us assume the one investment be x
And, the other investment be y
So
According to the question
x + y = $6,500
And,
-7x + 8y = $364
Now multiply by 7 in equation 1
7x + 7y = $45,500
-7x + 8y = $364
15y = $45,864
y = $3,057.60
x = $6,500 - $3,0657.60
= $3,442.40
Which could be the value of the third side of a triangle with sides 3 and 4? A. 3 B. 7 C. 12 D. 20
Answer:
c
Step-by-step explanation:
Which expression is equivalent to 7x + 4x2 – 5x?
Answer:
2x+8
Step-by-step explanation:
Answer:
[tex]4x^{2} +2x[/tex]
Step-by-step explanation:
I'm not sure what you want, because it says "which expression", but you didn't provide any answer choices.
So all you have to do for this is combine like terms, and the only ones were 7x and -5x, which equals 2x.
A box contains 2 red marbles, 3 white marbles, 4 green marbles, and 1 blue marble find the probability of selecting a white marble in the first draw and a red marble in the second draw
Answer:
Answers
Selecting a green marble on the second
draw if the first marble is blue.
Answer:
Selecting a white marble on the first
draw and red marble on the second
draw.
Answer:
Selecting a red marbles on both draws.
Answer:
Selecting a red or white on the first
draw and green or blue on the second
draw.
Answer:
Selecting a white marble on the first
draw and a white or blue on the second
draw.
Step-by-step explanation:
The distance between two cities is 4000 kilometers. One kilometer is 6 10 millimeters. What is the distance between the two cities in millimeters?
Answer: 4,000,000,000 mm
Step-by-step explanation:
One kilometer is 10^6 or 1000000 millimeters
So 4000x1000000
4x1 is 4
Annex the zeros. There are 9 zeros.
= 4,000,000,000 millimeters
The distance between the two cities in millimetres of 4,000,000,000 mm
What is a distance?
Distance is defined as the length between the two points just like in the question it is the length between the two cities.
We know that:-
One kilometer is 10^6 or 1000000 millimeters
So 4000x1000000
4x1 is 4
Annex the zeros. There are 9 zeros.
= 4,000,000,000 millimeters
Therefore the distance between the two cities in millimetres of 4,000,000,000 mm
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Use the drop down to answer the question about converting to a fraction.How many repeating digits are in ?What value is multiplied on both sides of the equals sign?What fraction represents ?
The decimal is a repeating decimal, and the actual fraction represented by 0.64⁻ is 64/99
The number of repeating digitsThe decimal number is given as:
0.64⁻
There are two numbers after the decimal point
So, the number of repeating digits is 2
The value multiplied on both sides of the equals signIn (a), we have the number of repeating digits to be 2.
So, the value multiplied on both sides is:
Value = 10²
Value = 100
Hence, the value multiplied on both sides of the equals sign is 100
The actual fractionThe number is the decimal points is 64.
And the value multiplied on both sides of the equals sign is 100.
So, the fraction is:
64/(100 - 1)
This gives
64/99
Hence, the actual fraction represented by 0.64⁻ is 64/99
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Answer:
2, 100, 64/99
Step-by-step explanation:
One diagonal of the kite is three times as long as the other diagonal. If the area of the kite is 48 square meters, what is the length of each diagonal?
Given:
One diagonal of the kite is three times as long as the other diagonal.
The area of the kite is 48 square meters.
To find:
The length of each diagonal.
Solution:
We know that, the area of the kite is:
[tex]A=\dfrac{d_1d_2}{2}[/tex]
Where, [tex]d_1,d_2[/tex] are two diagonals of a kite.
It is given that, one diagonal of the kite is three times as long as the other diagonal.
Let [tex]d_1=3d_2[/tex]. Then the area of the kite is:
[tex]A=\dfrac{3d_2d_2}{2}[/tex]
[tex]A=\dfrac{3d_2^2}{2}[/tex]
The area of the kite is 48 square meters.
[tex]\dfrac{3d_2^2}{2}=48[/tex]
[tex]3d_2^2=2(48)[/tex]
[tex]d_2^2=\dfrac{96}{3}[/tex]
[tex]d_2^2=32[/tex]
Taking square root on both sides, we get
[tex]d_2=\sqrt{32}[/tex] [It is only positive because side length cannot be negative]
[tex]d_2=4\sqrt{2}[/tex]
Now,
[tex]d_1=3d_2[/tex]
[tex]d_1=3(4\sqrt{2})[/tex]
[tex]d_1=12\sqrt{2}[/tex]
Therefore, the diagonals of the kite are [tex]4\sqrt{2}[/tex] units and [tex]12\sqrt{2}[/tex] units.
Please help ASAP!!!!Determine the total number of outcomes.
Picking a card from a standard deck then rolling a standard die.
A. 312
B. 58
C. 2
D. 46
Answer:
I believe it would be A
Step-by-step explanation:
A deck of cards has 52 cards in it, so it cant be C or D, and with all the possibilities it could not be B
What is the perimeter of the rectangle with the vertices shown below? A(4, 7), B(4, 15), C(9, 15), D(9,7)
Answer:
[tex]X=26[/tex]
Step-by-step explanation:
From the question we are told that:
Co_ordinates of rectangle:
[tex]A(4, 7),\\ B(4, 15),\\C(9, 15),\\D(9,7).[/tex]
Generally the equation for rectangular Perimeter X is is mathematically given by
[tex]X=2(length+breath)\\X=2L+2B[/tex]
Generally the Length of the rectangle is mathematically given by
[tex]L=(y\ axis\ co-ordinate\ of\ C)-(y\ axis\ co-ordinate\ of\ D)\\or\\L=(y\ axis\ co-ordinate\ of\ B)-(y\ axis\ co-ordinate\ of\ A)[/tex]
Therefore
[tex]L=15-7\\L=8[/tex]
Generally the Breath of the rectangle is mathematically given by
[tex]B=(x\ axis\ co-ordinate\ of\ D)-(x\ axis\ co-ordinate\ of\ A)\\or\\B=(y\ axis\ co-ordinate\ of\ C)-(y\ axis\ co-ordinate\ of\ B)[/tex]
Therefore
[tex]B=9-4\\B=5[/tex]
Generally the rectangular Perimeter X is is mathematically given by
[tex]X=2(8)+2(5[/tex]
[tex]X=26[/tex]
What is the area of a parallelogram that has a height of 2 1/2 inches and a base of 7 inches
I need help ASAP
Find the measurements of side bc
44.95
19.73
39.82
40.31
Answer:
Option B
Step-by-step explanation:
By applying cosine rule in the given triangle ABC,
BC² = AC² + AB² - 2(AC)(AB)cos(∠A)
BC² = (26)² + (23)² - 2(26)(23)cos(47°)
BC² = 676 + 529 - 815.67
BC² = 389.33
BC = √(389.33)
BC = 19.73
Therefore, Option B will be the correct option.
A number multiplied by 7 is less than 21. Which of the following expressions correctly identifies this sentence?
Answer:
Step-by-step explanation:
Solve. Your solution needs to have the variable first. -4 + x < -10
Answer and Step-by-step explanation:
First off, we need to get the variable by itself. We do this by adding 4 to each side of the inequality.
x < -6
Our answer is x < -6, so all values that are inputted to x and are less than -6 are solutions to the inequality.
#teamtrees #PAW (Plant And Water)
If m1 = 42°, what is m2?
The required measure of angle value of the m2 is 48°.
Given that,
The sum of two angles m1 and m2 is 90, where m1 = 42°,
What is the value of m2 is to be determined.
What is the angle?
The angle can be defined as the one line inclined over another line.
What is simplification?The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.
m1 + m2 = 90
42 + m2 = 90
m2 = 48°
Thus, the required value of the m2 is 48°.
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Which ordered pair is a solution to the equation y= 4x - 8?
(2, 1)
(3, 5)
(4, 8)
(5, 10)
(Please help me ASAP I will give u 30 points and brainliest.
Answer:
(4,8)
Step-by-step explanation:
1=8-8 no
5=12-8 no
8=16-8 YES
10=20-8 no
Answer:
I have that same problem!
Step-by-step explanation:
2(
5
1
m−
5
2
)+
5
3
Answer:
uh I need the question...
Step-by-step explanation:
Express y in terms of x.
Variables x and y are related so that, when
[tex]y ^{2} [/tex]
is plotted on the vertical axis
and
[tex]2 ^{x} [/tex]
is plotted on the horizontal axis, a straight-line graph which passes
through the point (8, 49) with gradient 3 is obtained.
a Express ya in terms of
[tex] {2}^{x} [/tex]
.
b Find the value of x when y = 11.
Answer: Saya benar-benar membutuhkan poin tetapi saya tidak ingin dilaporkan jadi saya meletakkan ini adalah terjemahan untuk bahasa yang berbeda. Saya minta maaf untuk umpan atau apa pun namanya tetapi saya benar-benar membutuhkan poin.
Step-by-step explanation:
answer for brainlest and 15 points
Answer:
It is not rational
Step-by-step explanation:
Do you like math? If you do solve this simple equations
[tex]2 + 2 + 4 + 4 + 8 + 8 + 16 + 16[/tex]
Answer:
60 ?
Step-by-step explanation:
A triangle has sides with lengths of 6 miles, 11 miles, and 15 miles. Is it a right triangle?
Answer:
No
Step by step explanation:
a² + b² = c²
6² + 11² = 15²
36 + 121 = 225
157 =/= 225
Answer:
No
Step-by-step explanation:
15 would be the longest angle or, the angle directly across the right angle
To see if this is a right angle, you'd have to do 11²+6², if it was a right angle, the answer would be 15² which it isn't so, it's not a right angle
What conclusion can be made for c and e? Triangle ABC has side AB measuring c, side BC measuring 4 units, and angle ACB measuring 36 and a half degrees. Triangle ABC is connected to triangle ACD by shared side AC. Triangle ACD has side AD measuring e and angle ACD measuring 27 and 8 tenths degrees. Segments BC, AC, and DC are marked congruent. c ≥ e c ≤ e c > e c < e
Answer:
IM ALSO DOING THIS TEST; I'm almost 100% sure it's C>E, since E is a line segment and C is an angle containing two line segments.
Step-by-step explanation:
I'm honestly not sure, but If it's wrong when I submit the test I will tell you <3
Answer:
c > e
Step-by-step explanation:
I actually got it right on part one of my test
6.8 x + 9.3 6.8 x + 9.3 equals -9.4 + 3.4 (2 minus 5x)
Answer:
x=-0.5
Step-by-step explanation:
6.8x + 9.3= -9.4 + 3.4 (2-5x)
6.8x + 9.3 = -9.4 + 6.8 - 17x
6.8x + 9.3 = -2.6 - 17x
22.8x = -11.9
x = -0.5
HELP!!!! WILL GIVE BRAINLYIST
Answer:
1.071
Step-by-step explanation:
[tex] log_{a}(28) \\ \\ = log_{a}(4 \times 7) \\ \\ = log_{a}(4) + log_{a}(7) \\ \\ = 0.379 + 0.692 \\ \\ log_{a}(28)= 1.071[/tex]
Heres just another one and my answer was 417.45 and says I’m wrong I’m I missing something?
Answer:
805.05333.....
Step-by-step explanation:
To find the volume of a pyramid you need to multiply the bases length, width, height , and [tex]\frac{1}{3}[/tex]
but since 20.7 is not the height then you would need to find it
So imagen a line down the very middle of the pyramid
and connect that with the 20.7in line then connect it again and that makes a triangle.
So there is a formula and it is a²+b²=c²
in this problem a is the missing height b is 11/2 which is 5.5 and c is 20.7
a²+5.5²=20.7² ---> 428.49-30.25=a² --->398.24=a² --->19.955951.....=a
11 x 11 x 19.960 x [tex]\frac{1}{3}[/tex] = 805.05333.....
Answer:
volume = 805.05 in³
Step-by-step explanation:
Here's my calculations.
first, finding the true height (not the slope length):
using the Pythagorean theorem:
height² = 20.7² - 5.5² = 428.49 - 30.25 = 398.24
height = √398.24 = 19.96 in
base = 11 x 11 = 121
volume = 1/3bh = 1/3(121)(19.96) = 805.05 in³
Shana plans to borrow $1,300 to buy a guitar. One bank is offering a simple interest rate of 5% per year on borrowed amounts. Another bank is offering a simple interest rate of 4%. Shana plans to repay the loan in 3 years. In dollars, how much can she save by borrowing from the bank with the lower interest rate? Record your answer in the box.
Answer:
5% times 3=15%
4% times 3=12%
15-12=3
1300 times 0.03= $39
39 dollars.
find the distance between the two points rounding to the nearest tenth (1,9) (-2,6)
Answer:
3sqrt2 is the distance between these two points
Peter says If you subtract 14 from my number and multiply the difference by -2, the result is -44 What is Peters number?
Answer:
36
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Let the number be x, then
First subtract 14 from number x, then
x - 14
Now multiply difference by -2, results -44
(x - 14) × -2 = -44
By solving equation,
-2X + 28 = - 44
- 2X = -44 - 28
X = -72 ÷ -2
x = 36
So, Peter's number is 36.
please...i need help on number 17
Answer:
17) m = 35; n = 110
18) b = 90; c = 80; d = 100
Step-by-step explanation:
17)
2m = 70
m = 35
n + 70 + 70 + n = 360
2n + 140 = 360
2n = 220
n = 110
18)
b - 10 + b + 10 = 180
2b = 180
b = 90
b - 10 = c
90 - 10 = c
c = 80
b + 10 = d
90 + 10 = d
d = 100
Each year, roughly 10^6 computer programmers each make about $ 10^5.
How much money is this all together? Express your answer both as a power
of 10 and as a dollar amount.
Answer:
100,000,000,000
Step-by-step explanation:
1 000 000 times 100 000 = 100,000,000,000
Find the surface area of the composite solid 6 ft 4 ft 5 ft 5 ft
The surface area of the composite solid is 165 [tex]feet^2[/tex].
We possess
4 triangles, each measuring 6 feet in height and 5 feet in base
4 rectangles, each measuring 5 feet long and 4 feet wide
1 square has side a = 5 feet.
The formula for a triangle's area is:
[tex]A_T=\frac{1}{2} bh[/tex]
Substitute:
[tex]A_T=\frac{1}{2} 5*6\\A_T=\frac{1}{2} 30\\A_T=15 ft^2[/tex]
Formula for calculating a rectangle's area:
[tex]A_R=lw[/tex]
Substitute:
[tex]A_R=5*4\\A_R=20 ft^2[/tex]
The formula for a square's area is as follows:
[tex]A_s=a^2[/tex]
Substitute:
[tex]A=s=5^2\\A_s=25 ft^2[/tex]
The composite solid's surface area is:
[tex]SA=4A_T+4A_R+A_s[/tex]
Substitute:
[tex]SA=4*15+4*20+25\\SA= 60+80+25\\SA=165 ft^2[/tex]
The composite solid has a surface area of 165 [tex]feet^2[/tex].
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