Given:
10 boys clear a piece of land in 21 days.
To find:
The number of days it will take 7 boys to clear the same land at the same rate.
Solution:
We have,
10 boys clear a piece of land in 21 days.
Total work = [tex]10\times 21[/tex]
= [tex]210[/tex]
Let 7 boys clear the same piece of land in x days.
Total work = [tex]7\times x[/tex]
= [tex]7x[/tex]
Now, the total work is same.
[tex]7x=210[/tex]
Divide both sides by 7.
[tex]x=\dfrac{210}{7}[/tex]
[tex]x=30[/tex]
Therefore, 7 boys clear the same piece of land in 30 days.
Write the slope-intercept form (y=mx+b) of the equation of the line through the given points.
through:
(0,3)(−4,5)
Step-by-step explanation:
General line equation: y = mx + c
When x = 0, y = 3. => (3) = m(0) + c, c = 3.
When x = -4, y = 5. => (5) = m(-4) + c,
5 = -4m + (3), -4m = 2, m = -0.5.
Hence the answer is y = -0.5x + 3.
Answer:
y=-[tex]\frac{1}{2}[/tex]+3
Step-by-step explanation:
To write the equation of the line in slope-intercept form, first calculate the slope of the line (m)
m=[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
=[tex]\frac{5-3}{-4-0}[/tex]
=2/-4
=-[tex]\frac{1}{2}[/tex]
next, calculate b by substituting a point (0, 3) into the equation
y=mx+b
3=(-1/2)(0)+b
b=3
final equation of line is: y=-[tex]\frac{1}{2}[/tex]+3
if f(x) = 72(1.25)^x and f(1) = 72(1.25)^1 = 11.25 f(2) = 72(1.25)^2 = ?????????
I need this solved ASAP it is important please help me NO FAKE ANSWERS
Answer:
f(1)=101.25 and f(2)=112.5
Step-by-step explanation:
f(1) = 72(1.25)^1 = 11.25
f(1)=90=11.25
f(1)=101.25
f(2) = 72(1.25)^2
f(2)=72(1.5625)
f(2)=112.5
An expression is shown below:
the square root of 32 plus the square root of 2
Which statement is true about the expression?
the square root of 32 plus the square root of 2
It is rational and equal to 4 times the square root of 2.
It is irrational and equal to 4 times the square root of 2.
It is rational and equal to 5 times the square root of 2.
It is irrational and equal to 5 times the square root of 2.
Answer:
C or D...
im guessing
Answer:
√32=√(16*2)=4√2
4√2 + √2=5√2
That is why is irrational
Step-by-step explanation:
Step by step explanation
Answer:
[tex]\huge\boxed{\sf x =\frac{7}{2} , y = -3}[/tex]
Step-by-step explanation:
2x + 4y = -4 ------------------------(1)
3x + 5y = -3 ------------------------(2)
Multiply Eq. (1) by 3
3(2x + 4y) = -4 * 3
6x + 12y = -12 ---------------------(3)
Multiply Eq. (2) by 2
2(3x + 5y) = -3 * 2
6x + 10y = -6 ---------------------(4)
Subtract Eq. (4) from (3)
6x + 12y - ( 6x + 10y ) = -12 - (-6)
6x + 12y - 6x - 10y = -12 + 6
12y - 10y = -6
2y = -6
Divide 2 to both sides
y = -6 / 2
y = -3
Put y = -3 in Eq. (1)
2x + 4(-3) = -5
2x - 12 = -5
Add 12 to both sides
2x = -5 + 12
2x = 7
Divide 2 to both sides
x = 7 / 2
So,
x = 7 / 2 , y = -3
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Select the procedure that can be used to show the converse of the
Pythagorean theorem using side lengths chosen from 2 cm, 3 cm, 4 cm, and
5 cm.
O A. Knowing that 22 + 32 + 42, draw the 2 cm side and the 3 cm side
with a right angle between them. The 4 cm side will fit to form a
right triangle.
B. Knowing that 22 + 42 < 52, draw the 2 cm side and the 4 cm side
with a right angle between them. The 5 cm side will fit to form a
right triangle.
C. Knowing that 32 +42 = 52, draw the 3 cm side and the 4 cm side
with a right angle between them. The 5 cm side will fit to form a
right triangle.
D. Knowing that 32 + 42 = 52, draw any two of the sides with a right
angle between them. The third side will fit to form a right triangle.
Answer:
Its C i just took the test and got this right!!!
Step-by-step explanation:
The side 3 cm, 4 cm, and 5 cm will satisfy the Pythagoras equation. Then the correct option is C.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
The converse of the Pythagorean theorem using side lengths chosen from 2 cm, 3 cm, 4 cm, and 5 cm.
The side 3 cm, 4 cm, and 5 cm will satisfy the Pythagoras equation.
5² = 4² + 3²
25 = 16 + 9
25 = 25
The side 3 cm and 4 cm is normal to each other.
Then the correct option is C.
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
#SPJ2
What is 3% of 84?
Show work!
Gabriella earns a commission of 6% for every house she sells each month. This month she sold 3 houses totaling $895,000. How much did she earn commission this month?
Answer:
$53,700
Step-by-step explanation:
Commission earned = percentage commission x total number of houses sold
[tex]\frac{6}{100}[/tex] x $895,000 = $53,700
find the slope from this graph
Answer:
m (slope) = 664
Step-by-step explanation:
Formula:
m (slope) = y1-y2/x1-x2
m = 16570 - 21226 / 1982 - 1986
= -4,656 / -4
= 664
Marking brainliest.
Answer:
UV
Step-by-step explanation:
That's the only one make sense
An amount a divided by 17
Abey and Anoki are eating chocolate bars. The bars are the same size. Abey has ! 3 4 ! Left. Anoki has ! 7 8 ! Left. How much chocolate is left altogether?
Answer:
13/8 of the chocolate will be left altogether.
Step-by-step explanation:
Given that,
Abey and Anoki are eating chocolate bars. The bars are the same size.
Abey left 3/4 of chocolate and Anoki left 7/8 of chocolate.
Left amount = Abey left amount + Anoki left amount
[tex]=\dfrac{3}{4}+\dfrac{7}{8}\\\\=\dfrac{3(2)+7(1)}{8}\\\\=\dfrac{6+7}{8}\\\\=\dfrac{13}{8}[/tex]
Hence, 13/8 of the chocolate will be left altogether.
Ratio Ralph can ride his bike 5 miles in 20 minutes. How many miles can he ride in
an hour and a half if he keeps this pace?
Answer:
22.5 miles
Step-by-step explanation:
There are 3, 20 minute increments in an hour, and 1 and a half 20 minute increments in half an hour, so, you simply add 3 + 1.5 which equals 4.5.
Then, multiply 5 (miles) by 4.5 to get 22.5 (miles).
A teenager has $20 to spend at the fair. The teenager rides 5 roller coasters and has $13.75 left. Each roller coaster costs the same amount.
How much does each roller coaster cost to ride, in dollars and cents?
Answer:
Each ride costs $1.25
Step-by-step explanation:
$20 - $13.75 = $6.25
$6.25 / 5 = $1.25
Answer:
1.25 per ride
Step-by-step explanation:
Subtract 13.75 from 20. You get 6.25. Divide 6.25 by 5.
SOME ONE PLZ HELP ME WITH THESE IM TIMED PLZZZ
13) SSS
14) SAS
15) ASA
16) AAS
please mark brainliest!
What is the smallest degree of rotation that will map a regular 15-gon onto itself
Answer:
13
Step-by-step explanation:
I WILL GIVE BRAINLY IF RIGHT Malia drew the hexagon below what is the measure of each angle of the hexagon
A. 60 degrees
B. 90 degrees
C. 120 degrees
D. 144 degrees
Answer:
120 Degrees
Step-by-step explanation:
A hexagon has six sides, and we can use the formula degrees = (# of sides – 2) * 180. Then degrees = (6 – 2) * 180 = 720 degrees. Each angle is 720/6 = 120 degrees.
Find the missing sides
and the perimeter
20 miles
23 miles
28 miles
21 miles
Answer:
i think it is 5
Step-by-step explanation:
i really need help i’m going to fail so answer if you can ! <3
The commission of a sales representative can be modeled by C(x) = 4x -
10, where x is the number of items sold. If the sales representative sales 30
items, how much commission will they earn? *
options:
$20
$5
$120
$110
Answer:
110
Step-by-step explanation:
you place 30 in the place of X, and it becomes 4×30-10. in PEMDAS, multiplication goes first and 4×30=120. 120-10=110
A line passes through the points (6, 8) and (5,5). What is its equation in slope-intercept
form?
Answer:
y = 3x -10
Step-by-step explanation:
Use the method [tex]\frac{rise}{run}[/tex].
I took a screenshot of the graph below, as an example of the rise over run method.
3 ÷ 1 = 3
To find the y intercept, count down on the graph until you reach the point where the line crosses.
In this case, the line crossed at -10 on the y-axis.
(Look at the second image)
So plug the numbers into the equation, and then you get y = 3x -10.
X^2 + 4x - 7x = 0
GIVE YOUR ANSWER TO THE CORRECT 2 DECIMAL PLACES
Answer:
x ≈ - 5.32, x ≈ 1.32
Step-by-step explanation:
x² + 4x - 7 = 0 ( add 7 to both sides )
x² + 4x = 7
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 7 + 4
(x + 2)² = 11 ( take the square root of both sides )
x + 2 = ± [tex]\sqrt{11}[/tex] ( subtract 2 from both sides )
x = - 2 ± [tex]\sqrt{11}[/tex]
Thus
x = - 2 - [tex]\sqrt{11}[/tex] ≈ - 5.32 ( to 2 dec. places )
x = - 2 + [tex]\sqrt{11}[/tex] ≈ 1.32 ( to 2 dec. places )
Answer:
x = -5.32, x = 1.32
Step-by-step explanation:
Ok. So to use the Complete the Square method, you divide the middle value by 2 and then square the number you get. This will give:
[tex](x^{2} + 4x + (\frac{4}{2}) ^2) - (\frac{4}{2}) ^2 -7 = 0[/tex]
[tex](x^{2} + 4x + 4) - 4 -7 = 0[/tex]
[tex](x^{2} + 4x + 4) - 11 = 0[/tex]
[tex](x^{2} + 4x + 4) = 11[/tex] (now factor the left side)
[tex](x + 2)(x + 2) = 11[/tex]
[tex](x + 2)^{2} = 11[/tex] (now square root both sides)
[tex]\sqrt{(x + 2)^{2}} = \sqrt{11}[/tex]
[tex]x + 2 = \sqrt{11}[/tex]
[tex]x = - 2 +/- \sqrt{11}[/tex] (+/- = plus or minus)
x = -5.32, x = 1.32
20 POINTS!!!
Which day and time represents the best predicted time during this week to explore the tide pools in Point Loma?
What is the difference between the highest tide predicted on this table and the lowest tide predicted on this table?
What is the difference between the highest and lowest tides predicted on Friday, January 31?
Ryan and his dad plan to go tide pooling on Saturday morning around 11:30am. Did they pick a good time to go? Is there a better time on Saturday that they should go instead? Explain your reasoning using complete sentences.
Answer:
I'm doing this project rn I'll help you as soon as I'm done! Did you do the other sections already?
Step-by-step explanation:
HELP ASAP!! What is the midpoint of the segment shown below?
(-1, 5) and (-6, -2)
Answer:
D) (-7/2 , 3/2)
Step-by-step explanation:
(x1+x2/2), (y1+y2/2)
(-6-1/2),(5-2/2)
(-7/2),(3/2)
A square was altered so that one side is increased by 9 inches in the other side is decreased by 2 inches. The area of the resulting rectangle is 6o in 2 what was the area of the
Answer:
area of the original square = 36 in²
Step-by-step explanation:
given data
one side is increased = 9 inches
other side is decreased = 2 inches
area of the resulting rectangle = 60 in²
solution
we consider here x as the length of any one side
and
longer side of the resulting rectangle = x + 9
and
the shorter side x - 2
so that area of this rectangle is (s+9) × (s-2) = 60 in²
standard form of equation is x² + 7x - 18 = 60 .....................1
it will be
x² + 7x - 78 = 0
(s+13) (s-6) = 0
so that here x = -13
and x = 6
here we Discard x = -13 because the side length cannot be negative.
so x = 6
and area of the original square = 36 in²
Isabella's football team lost 2 yards on a running play.
Then they received a 20-yards penalty making them
lose an additional 20 yards.
Write a subtraction expression to represent the change
in yards.
Then write an equivalent addition expression.
What is the team's total change in yards?
Answer:
A loss of 22 yards
Step-by-step explanation:
(-2)+(-20)=-22
Megan ate a fraction of a fruit salad. David ate 1/4 of the rest of the salad. If 9/16 of the salad is left, what fraction did Megan eat?
Answer:
5/16
sorry if i get it wrong! :(
Need help on these two thanks
Answer:
#1 is meter or D
#2 is also D
Step-by-step explanation:
GIVING BRAINLY!!! (for correct answer)
Answer:
C)3
Step-by-step explanation:
this is according to my test
A furniture store is getting ready for a big sale and marking all their prices down by 45%. If one of their items is regularlly priced at $375, what is the sale price?
Answer:
$206.25
Step-by-step explanation:
Regular price of item = R= $375
Price after 45% off = (1-0.45) x 375
=$ 206.25
Can somebody please help me with these pleaseeeee!
Brian bought beverages for his coworkers. One day he bought
3 lemonades and 4 iced teas for $12.00. The next day he bought
5 lemonades and 2 iced teas for $11.50. Find the cost of 1 lemonade
and 1 iced tea, to the nearest cent.
2.................................