let x be the flour
now
or,(21/2)+x=42/3
or,(21+2x)/2=42/3
or, 3(21+2x)=42×2
or, 63+6x=84
or,6x=84-63
or, 6x =21
or, x=21/6
thus she need 21/6 cups of flour
Write an equation of the line that passes through (0,4) and (0,-3).
Answer:
It is a vertical line at x = 0
Step-by-step explanation:
An equation of a line in a slope-intercept form is y=mx+b
So with the coordinates given, we must find the slope (m), and the y-intercept (b).
In order to find the slope using these coordinates,
we have to use the formula (y2-y1)/(x2-x2).
So the slope would be -3 - 4 / 0.
Because the denominator is 0, the slope would be undefined.
It is easier to see the equation/graph by graphing the coordinates on the coordinate plane. You will see that it is a straight vertical line down x=0.
Hello there! :)
We can use the formula:
[tex]\frac{y2-y1}{x2-x1} \\[/tex]
First, let's take a look at the x-coordinates. They are the same, aren't they?
If the x-coordinates are the same, then the slope is undefined.
Put the x-coordinates into the formula. It turns out that we divide by 0, and division by 0 is undefined.
Hope this helps!
~Just a cheerful gal
#CarryOnLearning
[tex]SilentNature[/tex]
step 1: find the factors of ac that add up to b. ac=6(−10)=−60 b=−11 the factors of −60 that add up to −11 are and . step 2: rewrite the trinomial with the x-term expanded, using the two factors from step 1. 6x2−11x−10 (6x2− )+( −10) step 3: group the first two and second two terms together, find the gcf and factor again. (2x−5)+ (2x−5
Answer:
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=6⋅−10=−60 and whose sum is b=−11
.
6x2+4x−15x−10
Factor out the greatest common factor from each group.
2x(3x+2)−5(3x+2)
Factor the polynomial by factoring out the greatest common factor, 3x+2
.
(3x+2)(2x−5)
Ricardo calculates a line of best fit for a data set with integer x-values 1 through 6. Complete the sentence with the correct word.
Using a line of best fit with the equation y = -3x + 21 to predict the value of y when x = 10 is an example of Choose...
causation
interpolation
extrapolation
correlation
Answer:
Step-by-step explanation:
D
[tex]\frac{8}{22} + \frac{3}{22} [/tex]
SOLVE It
NO G.OOGLE
Answer:
[tex]\sf\huge\longmapsto \: \frac{11}{22} [/tex]
Step-by-step explanation:
[tex]\sf\huge\longmapsto \frac{8}{22} + \frac{3}{22} [/tex]
[tex]\sf\huge\longmapsto \: \frac{8 + 3}{22} [/tex]
[tex]\sf\huge\longmapsto \: \frac{11}{22} [/tex]
Not yet answered Tharu bought a refrigerator and paid Rs. 40,000 as a down payment. On delivery, she paid another Rs. 80,000 and owed 60% of the purchased price. What was the price of the refrigerator?
Rs. 250000 was the price of the refrigerator.
Let x represent the price of the refrigerator.
Since she made a Rs. 40,000 down payment. On delivery paid another Rs. 80,000 and owed 60% of the purchased price. Hence:
Total Money paid = 100% - 60% = 40% of purchased price
40000 + 60000 = 40% of x
100000 = 0.4x
x = Rs. 250000
Hence, Rs. 250000 was the price of the refrigerator.
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What is the value of x in the equation x - y = 30, when y = 15?
-
04
O 8
O 80
O 200
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{Equation: }[/tex]
[tex]\rm{x - y = 30}[/tex]
[tex]\large\text{Solving: }[/tex]
[tex]\rm{x - y = 30}[/tex]
[tex]\rm{\rightarrow x - 15 = 30}[/tex]
[tex]\large\text{Add \boxed{15} to both sides:}[/tex]
[tex]\rm{x - 15 + 15 = 30 + 15}[/tex]
[tex]\large\text{Simplify it:}[/tex]
[tex]\rm{x = 30 + 15}[/tex]
[tex]\rm{x = 45}[/tex]
[tex]\large\text{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf x \frak{ = 45}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Circle A has a circumference of 25 centimeters.
Circle B's diameter is 3 times as long as circle A's
diameter.
What is the circumference of circle B?
The circumference of circle B would be; 74.98 cm.
What is the circumference of the circle?The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.
The circumference of the circle = 2πr
We have been given that Circle A has a circumference of 25 centimeters.
And Circle B's diameter is 3 times as long as circle A's diameter.
Thus, the Diameter of Circle B = 3 x the Diameter of Circle A
Since The circumference of the circle A = 2πr = 25
2πr = 25
r = 25/ 2π
r = 3.98 cm
The Diameter of Circle A = 2 x 3.98 = 7.96 cm
Since Diameter of Circle B = 3 x the Diameter of Circle A
Diameter of Circle B = 3 x 7.96 cm
= 23.88 cm
Radius = 23.88 / 2
Hence, the circumference of circle B = 2πr
= 2 x 22/7 x 23.88 / 2
= 74.98 cm
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Translate this sentence into an equation.
70 is the product of Han's savings and 5.
Use the variable h to represent Han's savings.
Solve for in terms of A and w. A=w
Answer:
Step-by-step explanation:
Given A = w:
w in terms of A is w = A, and
A in terms of w is A = w
What is the value of b?
b
B+42
B-20
Answer:
i think its 62
Step-by-step explanation:
that's my best guess I'm so sorry if its wrong I tried
A vendor who sold bread at farmers' markets counted the number of leftover loaves at the
end of each day.
Day
Loaves of leftover bread
Leftover loaves
Tuesday
22
Wednesday 24
Thursday
20
Friday
22
Saturday
27
According to the table, what was the rate of change between Wednesday and Thursday?
Answer:
Step-by-step explanation:
4 loaves
Answer:
- 4
Step-by-step explanation:
Given:
Wednesday = day 3 = 24 loavesThursday = day 4 = 20 loavesRate of change:
Difference in the number of loaves / difference in the number of days(20 - 24)/(4 - 3) =- 4/1 = - 4PLEASE HELP ILL MARK BRAINLIEST
Find the zeros of the function write as ordered pairs
Answer:
Step-by-step explanation:
You can do nothing more than just write the ordered pairs.
(1,0)
(-1.5,0)
(-3.75,0)
write the first four terms of the sequence defined by the given rule f (1) = 3, f(n) = [ f(n - 1)] ^2
Answer:
3, 9, 81, 6561
Step-by-step explanation:
previous term × itself
[tex]\\ \sf\longmapsto f(n)=[f(n-1)]^2[/tex]
f(1)=3[tex]\\ \sf\longmapsto f(2)=(f(1))^2=3^2=9[/tex]
[tex]\\ \sf\longmapsto f(3)=(f(2))^2=(9)^2=81[/tex]
[tex]\\ \sf\longmapsto f(4)=(f(3))^2=(81)^2=6561[/tex]
solve for x. round to the nearest tenth. 37 48
Answer:
1776
Step-by-step explanation:
Sun company has studied the collection pattern of sales for the past year and management has developed the following collection schedule:
55 percent in the month of sale with a 1 percent discount
30 percent in the month of sale
15 percent in the second month following the sale
Actual sales for past six months are:
January $200,100
February 220,450
March 300,700
April 251,200
May 275,890
June 180,460
Expected sales for the next six months are:
July $175,800
August 194,500
September 186,300
October 210,750
November 349,000
December 375,900
A) Determine the expected cash receipts by the month for July through September
B) Determine the expected cash discounts by month for July through September
C) Determine the expected ending balance of accounts receivable by the month of July through September
A) The determination of the expected cash receipts from July to September is as follows:
July Aug. Sept.
Expected Sales $175,800 $194,500 $186,300
Cash (55%) 96,690 106,975 102,465
1% discount 967 1,070 1,025
Net cash sales 95,723 105,905 101,440
30% month 1 52,740 58,350 55,890
15% month 2 27,069 26,370 29,175
Total cash receipts $175,532 $190,625 $186,505
B) The determination of the expected cash discounts from July to September is as follows:
July Aug. Sept.
Expected Sales $175,800 $194,500 $186,300
Cash (55%) 96,690 106,975 102,465
1% Cash Discounts $967 $1,070 $1,025
C) The determination of the expected ending balance of accounts receivable from July to September is as follows:
July Aug. Sept.
Expected Sales $175,800 $194,500 $186,300
Ending balance of
Accounts Receivable $26,370 $29,175 $ 27,945
= 15% of July, August, and September Sales
Data and Calculations:
July Aug. Sept. Oct. Nov. Dec.
Expected
Sales $175,800 $194,500 $186,300 $210,750 $349,000 $375,900
Cash (55%) 96,690 106,975 102,465 115,913 191,950 206,745
1% discount 967 1,070 1,025 1,159 1,920 2,067
Net cash sales 95,723 105,905 101,440 114,754 190,030 204,678
30% month 1 52,740 58,350 55,890 63,225 104,700 112,770
15% month 2 27,069 26,370 29,175 27,945 31,613 52,350
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Someone help plz tyyyy!
Answer:
When y=7,9 the answer is yes when it = -10,-8 the answer is no.
Step-by-step explanation:
Simple substitution gets us the resulting values. for y=7 we get [tex]15\geq 15[/tex] which is true. For y=9 we get [tex]19\geq 15[/tex] which is also true. For the other values we get a negative number which is not a solution.
Margo borrows $1100, agreeing to pay it back with 6% annual interest after 6 months. How much interest will she pay?
Answer:
I'm guessing you mean 1% annual interest per month, so she would have to pay 11 dollars each month meaning she will pay 66 dollars in interest.
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Mary found a pair of boots that cost $60 sales tax is 7% what is the total price Mary will pay for the boots?
Answer:
2 Hola cómo estás mi amigo
Answer:
sale price SP= cost + sales tax
SP= 60 + 7% of 60
SP= 60+4.2
SP= $64.2
the 10th term of an arithmetic sequence is 57 and the seventh term is 447 find the common difference and the first term
Answer:
232
Step-by-step explanation:
simplify the expression
90 + 4B - 2B - 7B
Simplify the expression
90 + 4B - 2B - 7B
Already in like terms, therefore
90+2B-7B
90-5B
Please Mark BRAINLIEST.
Given the cost function, C(x), and the revenue function, R(x), more than how many units must be produced and sold for the business to make money?
C(x)= 2,000x + 60,000
R(x)= 8,000x
Answer:
x= 10
Step-by-step explanation:
C(x) = 2,000x + 60,000
R(x) = 8,000x
Set the solution to zero.
R(x) - C(x) = 0
8,000x - (2,000x + 60,000) = 0
6,000x - 60,000 = 0
x=10
20 points fast plzz!!! Bob fenced in his backyard. The perimeter of the yard is 22 feet, and the length of his yard is 5 feet. Use the perimeter formula to find the width of the rectangular yard in inches: P = 2L + 2W.
6 in.
12 in.
72 in.
144 in.
Answer:
The width of the rectangular yard is 72 inches
Step-by-step explanation:
Let
L -----> the length of the yard
W ----> the width of the yard
we know that
The perimeter is equal to
we have
substitute in the formula and solve for W
Divide by 2 both sides
Subtract 5 both sides
Convert feet to inches
Remember that
1 ft= 12 in
Step-by-step explanation:
The width of the rectangle is 6 feet or 72 inches if the perimeter of the yard is 22 feet, and the length of his yard is 5 feet.
What is rectangle?It is defined as the two-dimensional geometry in which the angle between the adjacent sides are 90 degree. It is a type of quadrilateral.
Perimeter of the rectangle :
P = 2L + 2W
L = 5 feet
22 = 2(5) + 2W
After calculating:
W = 6 feet
1 feet = 12 inches
6 feet = 72 inches
Thus, the width of the rectangle is 6 feet or 72 inches if the perimeter of the yard is 22 feet, and the length of his yard is 5 feet.
Learn more about the rectangle here:
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Which function is the inverse of the function f(x) = 4x2 + 10, if the domain of f(x) is x 2 0?
Step-by-step explanation:
inverse = √((x-10)/4)
that is the answer
Answer:
Step-by-step explanation:
Order these numbers from least to greatest:
4[tex]\pi[/tex] , v18, 14, 9
Answer:
18,14,9
Step-by-step explanation:
enjoy
HELPPP THIS IS SO HARD Keegan and Jeff did some research and found that there are approximately 7,492,000,000,000,000,000 grains of sand on Earth. Jeff says that it is about 7 × 10(15) grains of sand. Keegan says that this is about 7 × 10(18) grains of sand.
Guys please add the step by step so they dont know im cheating
Answer:
Keegan is correct.
Step-by-step explanation:
Keegan is correct.
Put a decimal point after the first digit which is 7. Count decimal places there are after the 7, this will be your power of 10. There are 18 decimal places after the 7. This means the answer would be 7 x 10^18.
Basically, Keegan is right
when you present 7,492,000,000,000,000,000 in standard form, it is indeed, 7×10¹⁸, the reason Jeff is wrong is because he only counted Os and not the numbers 492 which Keegan rounded to Os. Ok, to simply this 7×10¹⁵ equals 7 000 000 000 000 000, and 7×10¹⁸ is 7 000 000 000 000 000 000 while is closer to thee original answer than Jeff's response.
Please mark BRAINLIEST if you're satisfied with this explanations.
Show your solution follow the steps need an answer, please need an answer, please.
Answer:
Step-by-step explanation:
27 ) 2x² - x - 1 = 0
2x² - 2x + x - 1 = 0
2x ( x - 1) + (x - 1) = 0
(x - 1)(2x + 1) = 0
x - 1 = 0 ; 2x + 1 = 0
x = 1 ; 2x = -1
x = -1/2
x = 1 ; -1/2
Option b
28) Area of a rectangle = 24 cm²
length * width = 24
(3x +2 )(2x -1) = 24
3x(2x -1) + 2(2x - 1) = 24
3x *2x - 3x *1 + 2*2x - 2*1 = 24
6x² -3x + 4x - 2= 24
6x² + x - 2 -24 = 0
6x² + x - 26 = 0
6x² -12x + 13x - 26 = 0
6x(x - 2) + 13(x - 2) = 0
(x -2)(6x +13) = 0
x = 2 {Ignore 6x + 13 as it gives negative value}
length = 3x + 2 = 3*2 + 2 = 6 + 2 = 8 cm
Width = 2x - 1 = 2*2 - 1 = 4 - 1 = 3 cm
29) Area of square = 900 cm²
Side² = 900
(5x)² = 900
25x² = 900
x² = 900/25
x² = 36
x = √36 = √6*6
x = 6 cm
30) base = b cm
height = b + 2
Area of triangle = 24 cm²
[tex]\dfrac{1}{2}base*height = 24\\\\\dfrac{1}{2}*b*(b+2) = 24\\[/tex]
b(b + 2) = 24*2
b² + 2b = 48
b² + 2b - 48 = 0
b² - 6b + 8b - 48 = 0
b(b - 6) + 8(b - 6) = 0
(b - 6) (b + 8) = 0
b - 6 = 0 {Ignore b +8 = 0 as it gives negative value}
b = 6 cm
height = 6+ 2 = 8 cm
Please explain step by step how to solve. Thank you
By doing cross multiply, you'll get
6(p-1) = 8(p+10)
Expand
6p-6 = 8p+80
Arrange
-80-6 = 8p-6p
-86 = 2p
Divide by 2 to find p
-43 = p
Answer:
p =
Step-by-step explanation:
First, we can start by cross multiplying.
p−1p+10=86
(p−1)*(6)=8*(p+10)
6p−6=8p+80
After some simplification, we get:
−2p=86
Then we find out that p = -43
If we put it in, and then simplify that, we will get 8/6
If this helped you, consider marking this as brainliest :)
Dakota worked 55 hours over the last two weeks and his paycheck was $572.00. how much does he earn per hour
Answer:
572/55 = $10.4
or
(572 * 2)/ 55 = $20.8
Step-by-step explanation:
You divide the amount earned over the number of hours worked.
Or
if the paycheck is given monthly, the second option fits. Because $572 is half what they earned that month.
Which pair of angles are supplementary?
Answer:
1 and 7
Step-by-step explanation:
supplementary means that they add up to 180º
1,3 5,6 1,7
2,4 7,8 2,8
1,2 5,7 3,5
3,4 6,8 4,6
There are still some more but my hands are tired of typing.
Answer:
A: 1 and 7
Step-by-step explanation:
when 2 angles are put next to each other on a straight line with a line going through the middle those two angles always add to 180 since 180 is equal to a straight line.
supplementary angles are 2 angles that together make 180.
out of the options given, all of them except 1 and 7 are equal angles and as a result would not add to 180. if you put angles 1 and 7 on a straight line together, they do, thus the answer is A, aka 1 and 7.
−a^3 b^5 is a polynomial or not
Answer:
notStep-by-step explanation:
HOPE IT HELPS YOUBTW GOOD DAY TO YOU