Answer:
-16 =x
Step-by-step explanation:
−6 = 3/8x
Multiply each side of the equation by 8/3 to isolate x
-6 *8/3 = 8/3* 3/8 x
-48/3 = x
-16 =x
Answer:
Step-by-step explanation:
-6=3/8x
To make this easier to visualize:
3/8= 0.375
-6=.375x
Divide both sides by .375
The right side cancels.
-6/.375=-16
So x=-16
Jack broke apart 5 x 216 as (5 x 200) + (5 x 16) to multiply mentally. What strategy did Jack use?
Answer:
Step-by-step explanation:
he used distributive property.
Answer:
Jack used distributive property
in the drawing of triangle XYZ, which angle has the least measure?
On a given blueprint, 1 inch equals 16 feet. If the dimensions of the bedroom on the blueprint are .75 inches x 1.5 inches, what are the actual measurements
The actual measurements are 12 feet by 24 feet.
What is Scale in map?The ratio between a distance on a map and its corresponding distance on the ground is referred to as the "map scale."
The scale of a map is the proportion between the distance shown on paper and the actual distance on the ground.
Given:
1 inch = 16 feet.
Dimension of bedroom on blue print is 0.75 inches x 1.5 inches.
so, the actual dimension of bedroom is
= 0.75 x 16 by 1.5 x 16
= 12 feet by 24 feet.
Hence, the actual measurements are 12 feet by 24 feet.
Learn more about scale map here:
https://brainly.com/question/28822423
#SPJ2
Johnnys dinner bill totaled $75. He left a 15% tip. How much money will johnny spend in all of his dinner?
Answer:
$86.25
Step-by-step explanation:
You need to calculate 15% of $75, and then add it to $75.
To find a percent of a number, change the percent to a decimal and multiply by the number. To change a percent to a decimal, divide the percent by 100, which the same as moving the decimal point of the percent two places left.
For example, 15% = 15/100 = 0.15 (by dividing 15 by 100).
15% = 0.15 (by moving the decimal point of 15 two places to the left).
Now back to the problem. First, we find 15% of $75.
15% of $75 =
= 15% * $75
= 0.15 * $75
= $11.25
The tip of 15% of $75 was $11.25.
The total amount spent is the bill total, $75, plus the $11.25 tip.
Total spent = $75 + $11.25 = $86.25
During which interval did the price decrease at the greatest rate? year: 2000,2002,2003,2005 price: 58,54,50,44,43
Answer:
Step-by-step explanation: I would say the 43 which is 2005.The reason for my answer is because you first write down the years. Then write down the price beside the years. Then you put them in order from greatest to least or least to greatest.Once you find out the least value then find the year that price was in. Hope this helps!!!
Please amrk brainliest
Christina Stratton invested $8,000 in a certificate of deposit for 4 years. The certificate earns interest at an annual rate of 6.00 percent compounded quarterly. The amount per $1.00 is 1.061831. What is the effective annual yield ? Show work.
The effective annual yield for a certificate of deposit with a 6% annual interest rate compounded quarterly is approximately 6.14%.
Explanation:To find the effective annual yield, we need to use the formula:
Effective Annual Yield = (1 + (interest rate / number of compounding periods))^number of compounding periods - 1
In this case, the interest rate is 6%, which is equivalent to 0.06. The number of compounding periods is 4 per year. Plugging these values into the formula, we get:
Effective Annual Yield = (1 + (0.06 / 4))^4 - 1
Calculating this, we find that the effective annual yield is approximately 6.14%.
From 6x^2−7xy+8y^2 subtract the sum of x^2−3xy−y^2 and 2x^2+5xy−4y^2
Samara was playing a game. She wrote down this number sentence to find the total number of points for 11 games in a row. 5 + 7 + 9 + 3 + 1 + 3 + 9 + 8 + 5 + 2 + 3 What's the sum of her scores? 30 35 45 55
Answer:55
Step-by-step explanation: Whenever you see the word "sum" it means to add. So, 5+7+9+3+1+3+9+8+5+2+3=55
By adding each game's score in Samara's game sequence, we find that the total score of all 11 games is 55 points.
Explanation:To find the total score of Samara's games, we need to add all the points she got from each game. We do this by performing the addition of the numbers in the number sentence she wrote down:
First, let's add the first three numbers: 5 + 7 + 9 = 21.Next, let's add the next three numbers to the previous sum: 21 + 3 + 1 + 3 = 28.Then, continue adding the next three numbers to the sum: 28 + 9 + 8 + 5 = 50.Finally, add the last two numbers to the total sum: 50 + 2 + 3 = 55.Thus, the total number of points for 11 games is 55.
Learn more about Addition here:https://brainly.com/question/29560851
#SPJ3
PLEASE HELP ME This is due on Tuesday
Answer:
3 and 6 as well as 4 and 5
Step-by-step explanation:
interior angles are the ones between perpendicular lines. I do belive you choose the ones oposite from one another. JUst look for the definiotn of angles on google and you'll find plenty of helpful awnsers to solving you equasions.
What is the measure of 8?
120°
90°
60°
180°
_____________________________
What type of angles are 1 and 5?
vertical
supplementary
corresponding
complementary
Answer:
< 8 = 60
<1 and <5 are corresponding angles
Step-by-step explanation:
<2 = <3 vertical angles
<3 = <6 alternate interior angles
<6 + <8 = 180 supplementary angles
120 + <8 = 180
Subtract 120 from side
120-120 + <8 = 180-120
< 8 = 60
<1 and <5 are corresponding angles
Corresponding angles occupy the same relative position at each intersection.
Answer:
The measure of [tex]\angle 8[/tex] is 60°
[tex]\angle 1[/tex] and [tex]\angle 5[/tex] are corresponding angles.
Step-by-step explanation:
Given that, [tex]m\angle 2= 120\°[/tex]
In the given diagram, [tex]\angle 2[/tex] and [tex]\angle 6[/tex] are corresponding angles and their measures are same.
So, [tex]m\angle 6= 120\°[/tex]
Now, [tex]\angle 6[/tex] and [tex]\angle 8[/tex] are pair of linear angles.
That means......
[tex]m\angle 6+m\angle 8= 180[/tex]°
[tex]\Rightarrow 120\°+m\angle 8=180\°\\ \\ \Rightarrow m\angle 8= 180\°-120\°\\ \\ \Rightarrow m\angle 8=60\°[/tex]
So, the measure of [tex]\angle 8[/tex] is 60°
The type of angles for [tex]\angle 1[/tex] and [tex]\angle 5[/tex] is corresponding.
PLEASE HELP ME!! use the figures below. write a sequence of rigid motions that maps triangle RST to triangle DEF
To map triangle RST to triangle DEF, perform a translation, rotation, and possibly a reflection.
Explanation:To map triangle RST to triangle DEF using rigid motions, we need to use a combination of translations, rotations, and reflections.
Translate triangle RST by vector EF so that point R maps to point D.Rotate the translated triangle about the point D by the measure of angle EDF to align RS with DE.If necessary, reflect the rotated triangle across a line passing through point D to align ST with EF.Learn more about Rigid motions here:https://brainly.com/question/31660897
#SPJ3
When adding 32.83 to a certain number, the sum is 37.63, as seen below. What number should go in the box to complete the addition problem? 2 3 4 5
Answer:
The answer would be 4.8.
Step-by-step explanation:
The reason for it is because you subtract 37.63 - 32.83 and you get 4.8
Answer: 4
Step-by-step explanation: you will need to subtract 37.63 to 32.83, and so it will give you 4.8. since it is asking for an individual number between 2-5, it is reasonable to choose 4 (ideal because the final answer is 4.8.)
what is 4 percent of 320
Answer:
Alright well simplify the expression
which gives u 12.8 Hope this help's Have a nice day :)
Step-by-step explanation:
If u want i can explain with detail
Evaluate the expression for x = 3, y=13 , and z = 5.
12x−3y4x−z
Enter your answer in the box.
i would use cymath or photo math
ps im not a bot lol
How do you do this 89.25 ×7 1/4 by showing steps
Answer: 1584.1875
Step by Step Explanation:
Step 1. Multiply the fraction
71 x 89.25/4
Step 2. Multiply the numbers 71 x 89.25.
= 6336.75/4
Step 3. Divide the number 6336.75/4.
= 1584.1875
Hope I could help! :)
Construct a function with a rate of change of 2/3 and an initial value of 4
(put your equation in slope-intercept form)
Answer:
f(x) = 2/3x +4
Step-by-step explanation:
The initial value is another name for the y intercept, so b = 4
Rate of change is another name for slope so m = 2/3
We can use the equation y =mx+b
y = 2/3 x + 4
We want it in function form
f(x) = 2/3x +4
factor the expression using GCF 25+30
Answer:
5(5+6)
Step-by-step explanation:
25+30
Lets factor each expression
25 = 5*5
30 = 5*6
We can factor out a 5
5(5+6)
The total cost, including shipping, for ordering five uniforms is $61. The total cost, including shipping, for ordering nine uniforms is $ 105. find the slope.
Answer:39/4
Step-by-step explanation: What I'd do first is set the question up as an ordered pair, for example (x,y) have the uniforms be represented by x and the cost be represented by y. We know that the cost of five uniforms is $66, so we can substitute (x,y) into (5,66). We can then do the same for nine uniforms which is 105 (9,105). The equation we are going to use to find the slope is y2-y1/x2-x1 = 105-66/9-5.
This should result in 39/4. Make sure to always simplify when needed, in this case we don't have to.
Hope this helped.
If your percent of discount is 25% and your sales price is $40, what is your original price. Please show me how you got your answer.
The original price before a 25% discount, when the sales price is $40, is calculated as $40 divided by 0.75, resulting in $53.33.
Explanation:To find the original price before a 25% discount, we can set up the equation where original price minus 25% of the original price equals the sales price. Let's call the original price 'P'. Then 0.25P is the amount discounted. The equation is P - 0.25P = $40. This simplifies to 0.75P = $40. To find P, divide both sides by 0.75, giving us P = $40 / 0.75. So, the original price P = $53.33.
The original price is $53.33.
If you have the sales price and the percent of discount, you can calculate the original price using the following steps:
Let P be the original price.Since the discount is 25%, you pay 75% of the original price.We know that 75% of the original price is $40.To find the original price, we set up the equation:
0.75P = 40
Next, solve for P by dividing both sides by 0.75:
P = 40 / 0.75
P = $53.33
So, the original price of the item was $53.33 before the 25% discount was applied.
help me understand this problem
It ΔABC and ΔXYZ are similar, then the sides of the triangles are in proportion.
[tex]\dfrac{AB}{XY}=\dfrac{BC}{YZ}=\dfrac{AC}{XZ}[/tex]
We have BC = 8, AC = 7, Y = 28, XZ = 49 and YZ = 56. Substitute:
[tex]\dfrac{AB}{XY}=\dfrac{BC}{YZ}\to\dfrac{AB}{28}=\dfrac{8}{56}\qquad\text{cross multiply}\\\\56AB=(8)(28)\qquad\text{divide both sides by 56}\\\\AB=\dfrac{224}{56}\\\\\boxed{AB=4}[/tex]
PLS ANSWER ASAP WILL GIVE BRAINLIEST
The table shows the number of minutes in different numbers of days.
Number of Days 4 7 11
Number of Minutes 5760 10,080 15,840
Which equation expresses the relationship between the number of days, d, and the number of minutes, m?
d = 1440m
m = d + 1440
m=d1440
m = 1440d
Answer:
Last choice
Step-by-step explanation:
Let's assume m is the "y" (dependent variable) and d is the "x" (independent variable) because the number of minutes is larger, and that would make more sense.
5760/4=1440
10080/7=1440
...
Slope is 1440, and it is direct variation
m=1440d
It COULD also be the third choice, but mathematical convention would have us put the coefficient first.
4 glue sticks cost 7.76$.what equation would help determine he cost of 13glue sticks
Answer:
25.22
Step-by-step explanation:
7.76/4 and then after the unit rate you multipy it by 13
Answer:
13 glue sticks cost $25.22
Step-by-step explanation:
We can use ratio's to solve this problem. We put price over number of sticks.
$7.76 x dollars
------------- = ---------------
4 sticks 13 sticks
Using cross products
7.76 * 13 = 4 * x
100.88 =4x
Divide each side by 4
100.88 /4 = 4x/4
$25.22 =x
Express the partial sums ( sn) of the following geometric series recursively (Remember all three parts): 3 + 6 + 12 + 24 + ...
The sum of three consecutive odd integers is 267. Find the integers. I need this as fast as possible please.
Answer:
the integers are: 87, 89, and 91
Step-by-step explanation:
n+n+2+4=267
3n+6=267
3n=261
n=87.
can you please tell me where you got this question from
Final answer:
The three consecutive odd integers that sum up to 267 are 87, 89, and 91. By setting up an equation, we find the first integer and then determine the next two by adding 2 to each consecutive integer.
Explanation:
The sum of three consecutive odd integers is 267. To find these integers, let's first represent them algebraically. Assume the smallest integer is x. Then the second integer, being consecutive and odd, would be x + 2, and the third would be x + 4. The sum of these three integers is given by:
x + (x + 2) + (x + 4) = 267
Simplify this equation to find the value of x:
3x + 6 = 267
Subtract 6 from both sides:
3x = 261
Divide both sides by 3:
x = 87
Now that we have the smallest integer, the second and third integers are 87 + 2 = 89 and 89 + 2 = 91, respectively.
The three consecutive odd integers are 87, 89, and 91.
Tony plans to purchase a jacket that costs p dollars. In a week the jacket will go on sale for 30% off. Tony writes althea following expression to calculate the cost of the jacket after the discount:
p - .30p
Now which of the following is equivalent?
1.30p
1.70p
2p - .30
.70p
p (1 - .30)
Answer:
.70p
p(1-.30)
Step-by-step explanation:
Tony plans to purchase a jacket that costs p dollars. In a week the jacket will go on sale for 30% off.
Tony writes althea following expression
p - .30p
Here P or 1P are same
So expression becomes 1p - 0.30p
Both are like terms
so we can subtract it
1p - 0.30p = 0.70p
Also we can write 1p - 0.30p as p(1-0.30)
We can take out p that is in common
Equivalent expression is .70p and p(1-.30)
log(base 6)6+log(base 6)(x-5)=log( base 6)6
Answer: 6
Step-by-step explanation:
NOTE: log₆6 = 1
log₆6 + log₆(x - 5) = log₆6
1 + log₆(x - 5) = 1
log₆(x - 5) = 0
x - 5 = 6⁰
x - 5 = 1
x = 6
Determine how much water should be mixed with 6 gallons of 55% solution of sulfuric acid to make a 20% solution of sulfuric acid?
Thanks
Answer: 16.5 gallons of water should be mixed to make a 20% solution of [tex]H_2SO_4[/tex]
Step-by-step explanation: We are given the concentration of the solution in percentage, it can be taken as the molarity of the solution.
Now, to calculate the volume of water required, we use the formula:
[tex]M_1V_1=M_2V_2[/tex]
where,
[tex]M_1\text{ and }V_1[/tex] are the initial molarity and volume of the solution.
[tex]M_2\text{ and }V_2[/tex] are the final molarity and volume of the solution.
Given:
[tex]M_1=55\%\\V_1=6gallons\\M_2=20\%\\V_2=?gallons[/tex]
Putting values in above equation, we get:
[tex]55\times 6=20\times V_2\\V_2=16.5gallons[/tex]
Answer:
10.5 gallons of water should be added.
Step-by-step explanation:
Let [tex]C_{1} * V_{1} = C_{2} * V_{2}[/tex], where [tex]C_{i}[/tex] are the concentration of the solution and [tex]V_{i}[/tex] are the volume of the solution for i=1,2.
Now, substituting values, we have,
55*6 = 20*[tex]V_{2}[/tex]
i.e. [tex]V_{2}[/tex] = (6*55)/20
i.e. [tex]V_{2}[/tex] = 16.5
So, the final volume is 16.5 gallons.
Hence, we need to add 16.5 - 6 = 10.5 gallons of water.
Find x, using SOHCAHTOA?
Answer:
x = 57.22754579
Step-by-step explanation:
We know cos 63 = adjacent/ hypotenuse
cos 63 = 15 sqrt(3)/x
Multiply each side by x
x cos 63 =15 sqrt( 3 )
Divide each side by cos 63
x cos (63)/ cos (63) = 15 sqrt(3)/cos (63)
x = 15 sqrt(3)/ cos 63
x = 57.22754579
Trigonometric area formula: Area = 1/2 ab sin (c)
What is the area of ABC? Round to the nearest tenth of a square unit.
A) 3.9 square units
B) 8.4 square units
C) 11.8 square units
D) 17.7 square units
Answer:
its probably 8.5
Step-by-step explanation:
Answer:
Option B.
Step-by-step explanation:
Trigonometric area formula is Area = [tex]\frac{1}{2}\times absin(C)[/tex]
Where a and b are two sides of the triangle and C is the angle between these two sides.
As given in the figure, side a = 6 units, c = 2√2 units and ∠B = 80°
Then area of the triangle will be defined by the formula
Area = [tex]\frac{1}{2}\times acsin(B)[/tex]
= [tex]\frac{1}{2}\times acsin(B)[/tex]
= [tex]\frac{1}{2}\times 6\times 2\sqrt{2}\times sin(80)[/tex]
= 6√2×sin80°
= 6×(1.414)×0.9848
= 8.36 square units
≈ 8.4 square units
Option B is the answer.
Which values in P and Q result in an equation with no solutions? Px+5= -4x+Q
Answer:
Given equation: [tex]Px+5 = -4x+ Q[/tex]
Add 4x on both sides we get;
Px + 5 + 4x = -4x + Qc+ 4x
Simplify:
Px +4x + 5 = Q
or
x(P+4) = Q - 5
Divide P+4 on both sides we get;
[tex]x = \frac{Q-5}{P+4}[/tex]
If we set Q-5 = 0 and P +4 = 0, there will be no solutions.
Since, No solution would mean that there is no answer to the equation.
⇒[tex]Q -5 = 0[/tex]
or
Q = 5
and
⇒[tex]P +4 = 0[/tex]
or
P= -4
Therefore, the values of P = -4 and Q = 5 results in an equation with no solutions.
Answer: P = -4 and Q = -5