Answer:
h = 2A/b
l = (P/2) - w
Step-by-step explanation:
for equation A
Multiply both sides with 2
Then divide both sides with b which leaves h on one side
for equation P
Divide by 2 on both sides
Then subtract w from both sides which leaves l on one side
In art class, Kerion is coloring a patter where half of the squares on her paper are being colored blue. Of the blue squares,1/3 of them will also have stripes. What fraction of squares will be blue blue with stripes?
Which property would be used to solve the expression x + 12 = 47 ?
Select one:
A. Inverse
B. Distributive
C. Associative
D. Commutative
A. Inverse
Explanation:Basically, inverse Property of Addition states that if you add any number added to its opposite the result will be equal zero. So, here we have the following equation:
[tex]x + 12 = 47[/tex]
Adding -12 to both sides we get:
[tex]x + 12 - 12= 47-12 \\ \\ \\ But \ 12+(-12)=0 \\ \\ \\ So: \\ \\ x + 0= 35 \\ \\ Finally: \\ \\ \boxed{x=35}[/tex]
Learn more:Distributive property: https://brainly.com/question/12256474
#LearnWithBrainly
Answer:
A. Inverse
Step-by-step explanation:
The given equation is [tex]x+12=47[/tex]
To solve this equation, we use the inverse property of addition.
We add the additive inverse of 12 to both sides to get:
[tex]x+12-12=47-12[/tex]
We then simplify to obtain:
[tex]x+0=35[/tex]
This gives us x=35.
The correct answer is A
Which function represents a reflection of f(x) = 3/8 (4)^x across the y-axis
Answer:
the function that would represent a reflection of the function y = f(x) = [tex]\frac{3}{8} \times 4^x[/tex] would be a function where x is negative, that is to say the required function which is a reflection across the y axis is given by
[tex]y = f(x) = \frac{3}{8} \times 4^{-x}[/tex]
Step-by-step explanation:
the function that would represent a reflection of the function y = f(x) = [tex]\frac{3}{8} \times 4^x[/tex] would be a function where x is negative, that is to say the required function which is a reflection across the y axis is given by
[tex]y = f(x) = \frac{3}{8} \times 4^{-x}[/tex]
Answer:
g(x) = 3/8(4)^–x
8 times what equals close to 289
The step-by-step solution shows that the number close to 289 when multiplied by 8 is approximately 36.125. Multiplying 36 by 8 gives 288, which is close to 289.
To find the number which, when multiplied by 8, gives a value close to 289, we can set up the equation:
8x ≈ 289
To solve for x, we divide 289 by 8:
x = 289 ÷ 8Performing the division:
x ≈ 36.125So, 8 times approximately 36.125 equals close to 289. Therefore, the nearest whole number would be 36, since 8 * 36 = 288, which is close to 289.
The step-by-step solution shows that the number close to 289 when multiplied by 8 is approximately 36.125. Multiplying 36 by 8 gives 288, which is close to 289.
sally draws a triangle with one side 6 inches long and another side 8 inches long. which is NOT a possible length for the third side ? A) 4 in B)10 in C) 12 in D) 14 in
When constructing a triangle with given side lengths, the possible range for the third side can be determined by adding and subtracting the lengths of the existing sides. Side lengths of 4, 10, and 14 inches are not possible choices for the third side length.
Explanation:The third side of a triangle must be less than the sum but greater than the difference of the other two sides. Given sides of 6 inches and 8 inches:
6 + 8 = 14 inches8 - 6 = 2 inchesTherefore, the lengths of the sides 4, 10, and 14 inches are not possible.
write the time 1:49 in two ways
Answer:
1 hour and 45 mins or 1 hour, 40 mins, and 5 seconds
Step-by-step explanation:
The time 1:49 can be written as 1:49 AM or 1:49 PM in the 12-hour clock, and as 01:49 in the 24-hour clock.
Explanation:To write the time 1:49 in two ways, we can use both the 12-hour clock and the 24-hour clock.
In the 12-hour clock, 1:49 can be written as 1:49 AM in the morning or 1:49 PM in the afternoon.In the 24-hour clock, 1:49 can be written as 01:49.Learn more about writing time in different formats here:https://brainly.com/question/13749640
#SPJ2
x=-79,-68,-57 and y=-68,-51,-34 so what is the x-intercept
The given values for x and y are not related to a specific equation or line, so we cannot determine the x-intercept.
Explanation:
The x-intercept represents the point at which a line crosses the x-axis. To find the x-intercept, we need to determine the value of x when y is equal to zero. In this case, the given values for x and y are not related to a specific equation or line, so we cannot determine the x-intercept.
Learn more about Finding x-intercept here:https://brainly.com/question/32051056
#SPJ12
As a salesperson you are paid $70 per week plus $6 per sale. This week you want your pay to be at least $150. Write an inequality to represent the number of sales you need to make to achieve your goal. Then solve the inequality algebraically, showing all work on your paper.
The inequality is:
[tex]70+6x\geq 150[/tex]
You must do more than 14 sales to get at least $ 150
Solution:
Given that,
As a salesperson you are paid $70 per week plus $6 per sale
Let "x" be the number of sales
This week you want your pay to be at least $150
We have to frame a inequality to represent the number of sales you need to make to achieve your goal
This week he must earn at least $ 150
Thus, he can spend $ 150 or more then 150 also
So we have to use "greater than or equal to" symbol
From given,
[tex]70 + 6(\text{number of sales})\geq 150[/tex]
[tex]70+6x\geq 150[/tex]
Thus the inequality is found
Solve the inequality
[tex]70+6x\geq 150\\\\Subtract\ 70\ from\ both\ sides\\\\6x\geq 150-70\\\\6x\geq 80\\\\Divide\ both\ sides\ by\ 6\\\\x\geq 13.3\\\\Thus\ approximately\ we\ get\\\\x\geq 14[/tex]
So he must do more than 14 sales to get at least $ 150
On a science quiz Ivan earned 18 points.There are six problems worth 2 points each and two problems worth 4 points each.
Step-by-step explanation:
He missed one 2-point question and got everything else correct.
5 × 2 = 10
4 × 2 = 8
10 + 8 = 18
Hope this helps!
Solve the system of equations using elimination.
4x - 7y = 5
9x – 7y = –15
Answer: (-4,-3)
Step-by-step explanation:
In USA test prep
Which of the following is the standard form of y= -2/3x + 6
A. 2/3x + y = 6
B. -6 = -2/3x - y
C. 2x + 3y = 18
D. -2x - 3y =18
Answer:
C) 2x+3y=18
Step-by-step explanation:
y=-2/3x+6
y-(-2/3x)=6
y+2/3x=6
2/3x+y=6
3(2/3x+y)=3(6)
6/3x+3y=18
2x+3y=18
Lucy and Judy each had a pie of equal size Lucy divided her pie into 6 equal slices and ate 2 of them. Judy divided her pie into 4 equal slices and ate 3 of them who ate more
Answer:
Judy
Step-by-step explanation:
Combine likes terms to create an equivalent expression 1/7 - 3(3/7h -2/7)
[tex]\frac{1}{7} -3(\frac{3}{7}h -\frac{2}{7}) = \frac{7-9h}{7}[/tex]
Solution:
Given expression is:
[tex]\frac{1}{7} -3(\frac{3}{7}h -\frac{2}{7})[/tex]
We have to combine the like terms
From given expression,
[tex]\frac{1}{7} -3(\frac{3}{7}h -\frac{2}{7})[/tex]
By distributive property,
The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.
a(b + c) = ab + bc
Therefore,
Solve for brackets using distributive property
[tex]\frac{1}{7} - (3 \times \frac{3}{7}h) + (3 \times \frac{2}{7})\\\\\frac{1}{7} - \frac{9h}{7} + \frac{6}{7}[/tex]
Add 1/7 and 6/7
[tex]\frac{1}{7} + \frac{6}{7} -\frac{9h}{7}\\\\\frac{1+6}{7} -\frac{9h}{7}\\\\Simplify\\\\\frac{7}{7}-\frac{9h}{7}\\\\1-\frac{9h}{7}\\\\Simplify\\\\\frac{7-9h}{7}[/tex]
Thus the equivalent expression is found
How many sides does a polygon have if the sum on the interior angle measures 3600
Answer:
22
Step-by-step explanation:
9. Anya and Sue each have $90.
Anya spends 5 over 8 of her money.
Sue spends 60% of her money.
Who has spent the most money?
Answer:
Anya spend the most money
What is the solution of 5y=-1x and 10y=-2x
Answer:
5y = -1x
Step-by-step explanation:
Those 2 expressions are equivalent, so they don't tell us anything. This means that the answer in simplest is the starting expression - 5y = -1x
elimination using addition and subtraction
-7x= y - 4
5x - y = 8
Answer:
look at the picture shown
If 5n = 0,then what does 6n equal
Answer:
0
Step-by-step explanation:
I would say this because n is most likely equal to 0 so 6 times 0 is 0
If 5n = 0, then 6n = 0.
Explanation:If 5n = 0, then substituting 0 for 5n gives 6n = 6(0) = 0. Therefore, 6n is equal to 0.
PLEASE GIVE A CORRECT ANSWER NOT JUST ANYTHING!!!!!!
Answer:
£28+£16(each half hour)
£28+£48= £76
(-5 +x)(x+4)solve.
Is the product of -5 +x and x+4 equal to the product of 5+x and x-4? Explain your answer.
(2+5)(3²+4−3) solve.
Answer:
Yes , the products of both expressions are the same
Step-by-step explanation:
Given
(-5 + x)( x + 4)
Using the distributive property we have
-5xx -5x4 + xxx +xx4
Negative times positive becomes negative
-5x - 20 + x^2 + 4x
Also (5 + x)(x - 4)
Using the distributive property
5xx +5-4 + xxx +xx-4
5x^2 -20 + x^2 - 4x
The product of -5 + x and x + 4 is equal to the product of 5 + x and x - 4
Answer:
5-x and 4-x would be your answer
Step-by-step explanation:
Kiyo and Steven are tiling the floors in an
office building. Kiyo tiled of the floor in
one office, and Steven tiled of the floor
in another office.
Write to explain how to use a benchmark
fraction to determine who tiled a greater
portion of a floor.
The complete question is given below.
Question:
Kiyo and Steven are tiling the floors in an office building. Kiyo tiled [tex]\frac{3}{6}[/tex] of the floor in one office, and Steven tiled [tex]\frac{5}{12}[/tex] of the floor in another office. Write to explain how to use a benchmark fraction to determine who tiled a greater portion of a floor.
Answer:
Kiyo tiled a greater portion of a floor
Solution:
Kiyo tiled in one office = [tex]\frac{3}{6}[/tex]
Steven tiled in another office = [tex]\frac{5}{12}[/tex]
Bench mark fraction means comparing fractions with common fraction or number. Most probably we use [tex]\frac{1}{2}[/tex] as the common fraction.
Compare [tex]\frac{3}{6}[/tex] and [tex]\frac{5}{12}[/tex] using [tex]\frac{1}{2}[/tex]:
[tex]\frac{3}{6}[/tex] is equal to the fraction [tex]\frac{1}{2}[/tex].
[tex]$\frac{3}{6}=\frac{1}{2}[/tex]
[tex]$\frac{5}{12}<\frac{1}{2}[/tex]
[tex]$\Rightarrow\frac{5}{12}<\frac{3}{6}[/tex]
Steven tiled the floor < Kiyo tiled the floor.
Hence Kiyo tiled a greater portion of a floor.
Kiyo tiled a greater portion of the floor.
To determine who tiled a greater portion of the floor, we can use a benchmark fraction. A common benchmark fraction is 1/2. Let's compare each person's portion to this benchmark:
Kiyo tiled 3/6 of the floor. Simplifying this fraction, we get 1/2.
Steven tiled 5/12 of the floor. To compare this to 1/2, we check if 5/12 is more than or less than 6/12 (which is 1/2).
Since 5/12 is less than 6/12, Steven tiled less than half, and Kiyo tiled exactly half.
Therefore, Kiyo tiled a greater portion of the floor.
Complete question: Kiyo and Steven are tiling the floors in an office building. Kiyo tiled 3/6 of the floor in one office, and Steven tiled 5/12 of the floor in another office. Write to explain how to use a benchmark fraction to determine who tiled a greater portion of a floor. You can compare hese fractions because the floors in each office are the same size. ∩ C
Write the expression in standard form.
(4f-3+2g)-(-4g+2)
Answer:
Apply the distributive property.
4
f
−
3
+
2
g
−
(
−
4
g
)
−
1
⋅
2
Multiply
−
4
by
−
1
.
4
f
−
3
+
2
g
+
4
g
−
1
⋅
2
Multiply
−
1
by
2
.
4
f
−
3
+
2
g
+
4
g
−
2
Simplify by adding terms.
Tap for fewer steps...
Subtract
2
from
−
3
.
4
f
+
2
g
+
4
g
−
5
Add
2
g
and
4
g
.
4
f
+
6
g
−
5
Step-by-step explanation:
A triangle has sides of 12 cm, 8cm and x cm. what are the possible values of x? express your answer as an inequality
Answer:
the possible values of x as an inequality → 4 < x < 20
Step-by-step explanation:
The triangular inequality tells us that :
12-8 < x < 12+8 ⇔ 4 < x < 20
You estimate that a box contains 141 envelopes the actual number of envelopes is 150 find the percent error
PLEASE HELP!!! Which of the following are considered measures of center?
I. mean
II. median
III. interquartile range
A.
I only
B.
III only
C.
I and II only
D.
I, II, and III
Answer:
C. I and II only
Step-by-step explanation:
Measures of center are mean median and mode. IQR is a range and therefore would not bring you to one number near the "center" of the data.
What is the value of x to the nearest tenth?
Answer:
x=6*sqrt(5)
Step-by-step explanation:
We use Pythagoras' theorem:
x^2 =6^2+(24/2)^2
x^2 =6^2+12^2
x^2 =36+144
x^2=180
x=sqrt(180)
x=sqrt(9*4*5)
x=3*2*sqrt(5)
x=6*sqrt(5)
Find the leg of each isosceles right triangle when the hypotenuse is of the given measure.
Given = 8 cm
Answer:
[tex]x=4\sqrt{2}\ cm[/tex]
Step-by-step explanation:
we know that
An isosceles triangle has two equal sides
Let
x ----> the length of the leg
Applying the Pythagorean Theorem
[tex]c^2=a^2+b^2[/tex]
where
c is the hypotenuse (the greater side)
a and b are the legs of the right triangle
In this problem we have
[tex]c=8\ cm[/tex]
[tex]a=b=x\ cm[/tex]
substitute
[tex]8^2=x^2+x^2\\\\64=2x^2\\\\x^2=32\\\\x=\sqrt{32}\ cm[/tex]
simplify
[tex]x=4\sqrt{2}\ cm[/tex]
Create a problem for the equation 3 + x equals 8 then solve the equation and write the answer to your problem
Answer:
Andy had 3 apples, and his mom surprised him with x apples. His mom told him that he had 8 apples in total. As he counted the apples he found out his mom gave him 5 apples By subtracting 8 and 3.
Step-by-step explanation:
Dogs are inbred for such desirable characteristics as blue eye color; but an unfortunate by-product of such inbreeding can be the emergence of characteristics such as deafness. A 1992 study of Dalmatians (by Strain and others, as reported in The Dalmatians Dilemma) found the following:
(i) 31% of all Dalmatians have blue eyes.
(ii) 38% of all Dalmatians are deaf.
(iii) 42% of blue-eyed Dalmatians are deaf.
What is the probability that a randomly chosen Dalmatian is blue-eyed and deaf?
Answer:
0.1302 or 13.02%
Step-by-step explanation:
So we know that 31% of the Dalmatians are blue eyed so that is 0.31. We also know that 42% of blue eyed Dalmatians are deaf so that is 0.42.
To find the probability of a blue eyed deaf Dalmatian we need 42% of 31%, so we need to do:
0.42 × 0.31 = 0.1302 or 13.02%
PLZ ANSWER FOR GODS SAKE
What is the solution for -10 < x - 9?
x > -19
x < -19
x > -1
x < -1