Question 1. 5b + 2 = 17
Step 1. Subtract 2 from both sides of the equation.
5b+2-2=17-2
Step 2. Then simplify.
5b=15
Step 3. Finally divide by 5.
5b/5=15/5
Answer: b=3
Question 3.
Step 1. Subtract 9 from both sides.
9+4b-9=17-9
Step 2. And simplify.
4b=8
Step 3. Finally divide by 4.
4b/4=8/4
Answer: b=2
Hope this helps! :)
Answer:
With STEP
(1) 5b+2=17 move constant to the right
5b=17-2 subtract the numbers
5b=15 divide both side by 5
b=3
(2) 3/8n+1=-25 multiply both side by8
3n+8=-200 move constant to the right
3n=-200-8 divide both sides by 3
n=-208/3
Without Step just answer
(3) b=2
(4) x=-7/4
(5) d=8
(6) a=3
HOPE this HELP
Which pair of rectangles is similar
A) 6,8 and 3,4
B) 6,8 and 2,4
C) 6,15 and 3,8
D) 9,15 and 3,4
If the rectangle a × b and the rectangle c × d are similar, then
a : b = c : d.
Check:
[tex]A)\ \dfrac{6}{8}=\dfrac{6:2}{8:2}=\dfrac{3}{4}\qquad\text{CORRECT}\\\\B)\ \dfrac{6}{8}=\dfrac{6:2}{8:2}=\dfrac{3}{4}\neq\dfrac{2}{4}\\\\C)\ \dfrac{6}{15}=\dfrac{6:3}{15:3}=\dfrac{2}{5}\neq\dfrac{3}{8}\\\\D)\ \dfrac{9}{15}=\dfrac{9:3}{15:3}=\dfrac{3}{5}\neq\dfrac{3}{4}[/tex]
Enter the value of a and b that complete the sum: 3/x + 5/x^2 = ax+b/x^2
Answer:
a=[tex]\frac{3}{x^{2} }[/tex]
b=5
Step-by-step explanation:
we are given
[tex]\frac{3}{x} }[/tex]+[tex]\frac{5}{x^{2} }[/tex]=ax+[tex]\frac{b}{x^{2} }[/tex]
we will compare both sides of equaion
[tex]\frac{b}{x^{2} }[/tex]=[tex]\frac{5}{x^{2} }[/tex]
comparing both sides we get
b=5
and
[tex]\frac{3}{x} }[/tex]=ax
a=[tex]\frac{3}{x^{2} }[/tex]
hence
a=[tex]\frac{3}{x^{2} }[/tex]
and b=5
Answer:
a=3
b=5
Step-by-step explanation:
answers on edge
Which measures have the dotted quarter note and single eighth note so that they sound like syncopation?
Question 5 options:
Measures 1, 2, 3, and 4
Measures 2 and 4
Measures 1 and 3
Measure 2
Answer:
Measures 1 and 3
Step-by-step explanation:
Eighth notes appear as a quarter note with flag on the end. Dotted quarter notes are quarter notes with a dot.
what is -3/4 × -8 ?
Question
what is -3/4 × -8 ?
Answer:
6Step-by-step explanation:
-3/4 * (-8) =
-3 * (-2) =
6
Rachel decided to have bouncy balls as a party favor. She determines that her ratio of bouncy ballsTwo guest is 9:3. Explain how to find the number of balls needed for30 guest
Answer: 90
Step-by-step explanation:because if you times 10 to get 30 so you also times it by 9 so 9 x 10 = 90
f(x) = -3x^2+2x-5
What is f(-1)
Answer:
- 10
Step-by-step explanation:
Wherever you see an x, put in a minus 1.
f(-1) = -3(-1)^2 + 2x - 5
f(-1) = -3(1) + 2(-1) - 5
f(-1) = - 3 - 2 - 5
f(-1) = - 10
identify the two irrational numbers
14. A line that passes through the point (5,7) has a slope of 3. Which other point is on that line?
There are no answer choices, so I will just list a few. But first, we need to create the equation.
Plugging in (5,7) into the equation y=mx+b, we can solve for b since all of the other variables are known, with m=3 as the slope.
So, 7=3*5+b
7=15+b
b = -8
y=3x-8 is your equation.
So, you can plug in any value of x you get a certain value of y.
(1,-5), (2,-2), (3,1), (4,4), (5,7), (6,10), (7,13)
Answer:
(6, 10)
Step-by-step explanation:
slope = [tex]\frac{change in y}{change in x}[/tex] = [tex]\frac{3}{1}[/tex]
to find another point on the line add 3 to the y-coordinate and add 1 to the x-coordinate
(5, 7) → (5 + 1, 7 + 3) → (6, 10) ← other point on line
continue to do this for other points
(6, 10) → (6 + 1, 10 + 3) → (7, 13)
If two planes intersect, then they intersect in exactly one point. True or false?
Answer: False
A plane is a flat line that extends forever in all directions. Think of a flat piece of paper that does not bend or curve. If you intersect two planes, then they will form a straight line. This line will extend forever both directions. There are infinitely many points on this line of intersection. You can think of a book as a good example: the pages are the planes while the spine is the line of intersection.
What is the length of DE
The length of DE is 6 inches.
I can see that from the image, DE is a horizontal line segment that is 6 units long. This is because the x-axis is labeled in units, and DE spans 6 units on the x-axis.
we know that
The triangle XYZ and DEF are similar triangles
therefore
The ratio of their corresponding sides is equal
12/8 = 9/x
x = 8 * 9/12
x = 6 Units.
Therefore the length of DE is 6 inches.
The sum of three consecutive odd integers is 951 What are the integers
Answer:
315, 317, and 319
Step-by-step explanation:
So first we have to set the equation up. Since it is odd, we would write
[tex](x-2)+x+(x+2)=951[/tex]
where x is the middle integer. This gets you
[tex]3x=951[/tex]
Solving for x we get
[tex]x=317[/tex]
Since x was the middle, we subtract 2 and add 2 and put them together in ascending order, or 315, 317, and 319.
The location of four buildings are on a coordinate grid are as follows: bank at (3, −3) post office at (−2, −3) dry cleaner at (−2, 6) pizza shop at (3, 6) Liza begins at the bank and then walks to the post office, then to the dry cleaner, and then to the pizza shop. Then she walks to the bank again, where she left her cell phone. The path between each building is a straight line. One unit on the coordinate grid equals 400 yards. What is the total distance Liza walked?
Answer:
11,200 yards
Step-by-step explanation:
First, plot all the points on a graph. Then draw Liza's path. Add them all up and multiply by 400.
28 · 400 = 11,200.
Liza walked 11,200 yards.
My graph is attached. The blue line is Liza's path and each coordinate point is labeled.
I hope this helps u!!
:)
Answer:
11,200 yards.
Step-by-step explanation:
Distance between two points is;
Distance = √(x²+y²)
Distance between Bank and post office = √(5²+0)
= 5
Distance between post office and dry cleaner = √(0+9²)
= 9
Distance between Dry cleaner and pizza shop = √(0+5²)
= 5
Distance between Bank and pizza shop = √(9²-0)
= 9
Total distance = 5+9+5+9
= 28 units
1 unit ⇒ 400 yards
28 units ⇒ (28×400)
⇒ 11,200 Units
what is the equation of a line that has a slope of 3 and a y-intercept of -3
Answer:
y = 3x-3
Step-by-step explanation:
y = mx+b
m is your slope and b is your y-intercept
plug those numbers in
y = 3x-3
The slope-intercept form:
y = mx + b
m - slope
b - y-intercept
We have m = 3 and b = -3. Substitute:
y = 3x - 3julie was looking at the architect's blueprint of her house.The scale drawing on the blueprint was 1/4 in = 1 ft.On the blueprint what are the dimensions of her bedroom if the actual dimension of her bedroom are 12 ft by 16ft
Using the scale factor 1/4 inch equals 1 foot to convert Julie's actual bedroom dimensions to the blueprint scale, the bedroom measures 3 inches by 4 inches on the blueprint.
Explanation:To find the dimensions of Julie's bedroom on the architect's blueprint when the scale drawing is 1/4 inch equals 1 foot, we first need to establish the unit scale as a ratio. Given that the actual dimensions of her bedroom are 12 feet by 16 feet, we convert these measurements to inches on the blueprint using the provided scale.
We use the ratios:
By cross-multiplying and dividing, we can find the blueprint measurements:
For length:
For the width:
Therefore, the dimensions of her bedroom on the blueprint are 3 inches by 4 inches.
To find the blueprint dimensions of Julie's bedroom using the scale 1/4 inch = 1 foot, the actual dimensions of 12 ft by 16 ft are converted to 48 inches by 64 inches respectively by multiplying each dimension by the inverse of the scale ratio (4 feet / 1 inch).
To find the dimensions of Julie's bedroom on the blueprint, we must use the scale given which is 1/4 inch = 1 foot. This means that for every foot in actual size, it is represented by 1/4 inch on the blueprint. To convert Julie's actual bedroom dimensions, 12 feet by 16 feet, to blueprint dimensions, we multiply each by the inverse of the given scale.
Calculation steps for the length:
Write the scale as a ratio: 1/4 inch / 1 foot.Calculate the inverse of this ratio for the conversion: (1 foot / 1/4 inch) = 4 feet / 1 inch.Then multiply the actual length (12 feet) by the inverse ratio: 12 feet * (4 feet / 1 inch).It gives us 48 inches when we multiply 12 by 4.For the width, follow the same steps:
The actual width is 16 feet.Multiply by the inverse ratio: 16 feet * (4 feet / 1 inch).It results in 64 inches when we multiply 16 by 4.Therefore, the dimensions of Julie's bedroom on the blueprint should be 48 inches by 64 inches.
What are the numerical measures of the angles?
x =
m∠DEA = °
m∠AEB = °
Answer:
What is the numerical sum of the degree measures of ∠DEA and ∠AEB?
✔ 180
What are the numerical measures of the angles?
x =
✔ 14.5
m∠DEA =
✔ 39.5
°
m∠AEB =
✔ 140.5
°
Step-by-step explanation:
Kevin has $26 and wants to rent a bicycle. The bicycle rents for $6.25 per hour . How many hours can Kevin ride without owing more money than he has
Answer:
4 hours
Step-by-step explanation:
6.25X4=25 so he'll have an extra dollar
You are going to spend &47.50 to play games at the fair. Each game costs 0.50$ per play. Which of those equations best shows how much money you have left as you play the games?
Mark bought a concert ticket for $88, then sold it for $121. By what percent did he mark the ticket up?
Answer:
27.27%
Step-by-step explanation:
Formula:
%= 100*(revenue-cost)/ revenue
%= 100* (121-88)/121
By 27.27% the ticket price mark up.
What is Percentage increase?The ratio of the increased value to the original value, multiplied by 100, is the percentage increase formula. It is outlined as a percentage. Anything's value will increase if it is valued more, so will its proportion.
Given:
Mark bought a concert ticket for $88.
Mark sold it for $121.
Change in amount= 121- 88 = $33.
So, the percent increase
= (121- 88) / 88 x 100
= 33/121 x 100
= 3/11 x 100
= 27.27%
Hence, the percent mark up is 27.27%.
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Help ASAP! Math!! <3
Answer:
y = 13x
Step-by-step explanation:
How do I solve this ?
Look at the picture.
ΔZYX and ΔDYC are similar. Therefore the lengths of sides are in proportion:
[tex]\dfrac{DC}{ZX}=\dfrac{DY}{ZY}[/tex]
DC = x
ZX = 16
DY = a
ZY = a + a = 2a
Substitute:
[tex]\dfrac{x}{16}=\dfrac{a}{2a}[/tex]
[tex]\dfrac{x}{16}=\dfrac{1}{2}[/tex] multiply both sides by 16
[tex]\boxed{x=8}[/tex]
Answer: CD = 8If f(x)=x^3+3x^2+4x+5 and g(x)=5x, then what is d/dx[g(f(-1))]?
Answer:
The answer is 19.4322
Step-by-step explanation:
(3v^5+8v^3_10v^2)_(-12v^5+4v^3+14v^2)
Answer:
(3v5+8v3+10v2)+(-12v5+4v3+14v2)
Final result :
-3v2 • (3v3 - 4v - 8)
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(((3•(v5))+(8•(v3)))+(10•(v2)))+(((0-(12•(v5)))+(4•(v3)))+(2•7v2))
Step 2 :
Equation at the end of step 2 :
(((3•(v5))+(8•(v3)))+(10•(v2)))+(((0-(12•(v5)))+22v3)+(2•7v2))
Step 3 :
Equation at the end of step 3 :
(((3•(v5))+(8•(v3)))+(10•(v2)))+(((0-(22•3v5))+22v3)+(2•7v2))
Step 4 :
Equation at the end of step 4 :
(((3•(v5))+(8•(v3)))+(2•5v2))+(-12v5+4v3+14v2)
Step 5 :
Equation at the end of step 5 :
(((3•(v5))+23v3)+(2•5v2))+(-12v5+4v3+14v2)
Step 6 :
Equation at the end of step 6 :
((3v5 + 23v3) + (2•5v2)) + (-12v5 + 4v3 + 14v2)
Step 7 :
Step 8 :
Pulling out like terms :
8.1 Pull out like factors :
-9v5 + 12v3 + 24v2 = -3v2 • (3v3 - 4v - 8)
Polynomial Roots Calculator :
8.2 Find roots (zeroes) of : F(v) = 3v3 - 4v - 8
Polynomial Roots Calculator is a set of methods aimed at finding values of v for which F(v)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers v which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 3 and the Trailing Constant is -8.
The factor(s) are:
of the Leading Coefficient : 1,3
of the Trailing Constant : 1 ,2 ,4 ,8
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -7.00
-1 3 -0.33 -6.78
-2 1 -2.00 -24.00
-2 3 -0.67 -6.22
-4 1 -4.00 -184.00
-4 3 -1.33 -9.78
-8 1 -8.00 -1512.00
-8 3 -2.67 -54.22
1 1 1.00 -9.00
1 3 0.33 -9.22
2 1 2.00 8.00
2 3 0.67 -9.78
4 1 4.00 168.00
4 3 1.33 -6.22
8 1 8.00 1496.00
8 3 2.67 38.22
Polynomial Roots Calculator found no rational roots
Final result :
-3v2 • (3v3 - 4v - 8)
Step-by-step explanation:
Felipe won a charity raffle. His prize will be randomly selected from the 9 prizes shown below.
The probability of Felipe winning a specific prize in the charity raffle is 1/9 or approximately 0.111.
Explanation:The subject of the question is Mathematics and the grade level is Middle School.
To determine the probability of Felipe winning a specific prize from the 9 prizes, we need to divide the number of desired outcomes (one specific prize) by the total number of possible outcomes (9 prizes in total). Therefore, the probability of Felipe winning a specific prize is 1/9, or approximately 0.111.
For example, if Felipe wants to calculate the probability of winning the first prize, he has 1 desired outcome (winning the first prize) out of 9 possible outcomes (9 prizes in total). Thus, the probability of winning the first prize is 1/9.
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Solve the equation.
-21 = (m/3)
A) m = 7
B) m = -7
C) m = -63
D) m = 63
Answer:
C) m = -63 is your answer
Step-by-step explanation:
Isolate the variable (m). Note the equal sign, what you do to one side, you do to the other.
Multiply 3 to both sides
-21 = (m/3)
(-21)(3) = (m/3)(3)
m = (-21)(3)
Combine like terms. Simplify.
m = -21 * 3
m = -63
C) m = -63 is your answer
~
12x+7<−11 OR 5x−8>40. Solve for the inequality
To solve the inequality 12x+7<−11 OR 5x−8>40, isolate x in each equation. The solutions are x < -1.5 and x > 9.6.
Explanation:To solve for the inequality 12x+7<−11 OR 5x−8>40, we first need to simplify each equation separately i.e isolate x in each separate equation.
For the inequality 12x + 7 < -11: Subtract 7 from both sides, which gives 12x < -18. Then divide by 12 which will yield x < -1.5.
For the inequality 5x - 8 > 40: Add 8 to both sides, which gives 5x > 48. Then dividing both sides by 5, we get x > 9.6.
Our answer is therefore x < -1.5 OR x > 9.6. This means that any x value satisfying either of these conditions will satisfy the original inequality.
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To solve the compound inequality 12x + 7 < -11 OR 5x - 8 > 40, solve each inequality separately to find x < -1.5 or x > 9.6. This means x can be any value less than -1.5 or greater than 9.6.
To solve for x in the given compound inequality, we need to handle each inequality separately.
Step-by-Step Solution:
First, solve the inequality 12x + 7 < -11:Subtract 7 from both sides: 12x < -18Divide both sides by 12: x < -1.5Second, solve the inequality 5x - 8 > 40:Add 8 to both sides: 5x > 48Divide both sides by 5: x > 9.6Therefore, the solution to the compound inequality is x < -1.5 OR x > 9.6.
This means x can be any number less than -1.5 or greater than 9.6.
a baseball bat and 8 baseballs cost $163.25. the bat cost $106.45 what is the cost c of one baseball
Answer:
7.10
Step-by-step explanation:
163.25- 106.45
divided by 8
7.10
The cost c of one baseball if, baseball bat and 8 baseballs cost $163.25, and the bat cost $106.45 is $11.36.
What is the equation?It is a mathematical statement that says, "this is equivalent to that," in other words. There appears to be an equal sign in the middle, a mathematical expression on the right, and a mathematical expression on the left.
Given:
The total cost of a baseball bat and 8 baseballs cost is $163.25,
The cost of one bat is $106.45,
Write the equation for the statement as shown below,
106.45 × 1 + 8c = 163.25
Here c is the cost of one baseball,
Solve the above equation as shown below,
106.45 + 8c = 163.25
8c = 163.25 - 106.45
c = 56.8 / 8
c = 11.36
Thus, the cost of one baseball is $11.36.
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Outliers are always in which quartile(s) of a box and whisker plot?
A. First quartile
B. Second and third quartiles
C. First and fourth quartiles
D. Second and fourth quartiles
Answer:
C. First and fourth quartiles
Step-by-step explanation:
Let's see what outliers are.
If a data value is very far away from the quartiles (either much less than Q1 or much greater than Q3 ), it is sometimes designated an outlier .
Therefore, from the above definition.
Outliers are always in " first and fourth quartiles"
Answer: C. First and fourth quartiles.
Thank you.
The tax on a $400 painting is $34. What shiuld be the tax on a $700 painting.
Answer:
$59.50
Step-by-step explanation:
34/400=x/700
400x=23,800
x=59.5
Answer:
see below Please give brainliest
Step-by-step explanation:
To find the tax rate:
$34 ÷ $400 = 0.085 = 8.5%
To figure amount of tax:
$700 x .085 (8.5%) = $59.50 is the amount of tax to be paid
Solve the following multiplication and division problems. a. 8 T. 1,398 lb. 14 oz. × 6 b. 349 lb. 6 oz. ÷ 130 c. 6 T. 294 lb. ÷ 3,071
Answer: a) 278382 oz
b) 43 oz
c) 64.1 oz
Step-by-step explanation:
a) 8 T. 1,398 lb. 14 oz. × 6
First we need to change it in 'oz'.
As we know that
[tex]1\ ton=32000\ oz\\\\1\ lb=16\ oz[/tex]
so, it becomes,
[tex]8\times 32000+1398\times 16+14\ oz\\\\=278382\ oz[/tex]
8 T. 1,398 lb. 14 oz. × 6 becomes
[tex]278382\times 6\\\\=1670292\ oz[/tex]
b) 349 lb. 6 oz. ÷ 130
It becomes,
[tex]349\times 16+6\ oz\\\\=5590\ oz\\\\\text{ at last it becomes}\\\\=\frac{5590}{130}\\\\=43\ oz[/tex]
c) 6 T. 294 lb. ÷ 3,071
First it becomes,
[tex]6\times 32000+294\times 16\ oz\\\\=196704\ oz[/tex]
At last it becomes,
[tex]\frac{196704}{3071}\\\\=64.1\ oz[/tex]
Hence, a) 278382 oz
b) 43 oz
c) 64.1 oz
Answer:
A. 278382 ounces
B. 43 ounces
C. 64.1 ounces
Because of its conversation and easy access to ATMs ___ is the most common form of payment today.
Because of its convenience and easy access to ATMs, debit cards are the most common form of payment today.
Debit cards are linked to your bank account and will allow you to access those available funds. If you swipe your debit card it will automatically remove funds from your bank account to pay for your items. You are also able to use it at an ATM to withdraw cash. Most debit cards have an allowed amount of money you can withdraw from an ATM in a day.
Answer:
Step-by-step explanation:
a Debit card
apex