Answer:
10) 6 × 10⁷
11) -3 × 10⁻¹
Step-by-step explanation:
Assuming that (2 x 103)(3 x 104) =
(2 × 10³)(3 × 10⁴) =
(2 × 10³) × (3 × 10⁴)
And the division of
(-42 x 102) and (14 x 103) =
(-4.2 × 10²) ÷ (1.4 × 10³)
__________________
It is hard to know without an image, assumptions can vary.
A TV station executive is planning the new lineup for next season's shows. On Monday nights, there will be 6 sitcoms and 6 dramas, for a total of 372 minutes of programming, not counting commercials. On Tuesday nights, he has scheduled 2 sitcoms and 6 dramas, for a total of 288 minutes of non-commercial programming. All sitcoms have the same length and all dramas have the same length. How long is each type of show?
Answer:
x = length of sitcoms = 21 minutes
y = length of dramas = 42 minutes
Step-by-step explanation:
Let
x = length of sitcoms
y = length of dramas
6x + 6y = 372 (1)
2x + 6y = 288 (2)
Subtract (2) from (1) to eliminate y
6x - 2x = 372 - 288
4x = 84
x = 84/4
x = 21
Substitute x = 21 into (1)
6x + 6y = 372
6(21) + 6y = 372
126 + 6y = 372
6y = 372 - 126
6y = 246
y = 246/6
y = 41
x = length of sitcoms = 21 minutes
y = length of dramas = 42 minutes
Jorge is making 6 large salads and 4 small salads. How many cherry tomatoes does he need?
Answer:
we need an amount of cherry tomatoes per each salad so we can answer.
Step-by-step explanation:
Just name the amount of tomatoes there are in each salad.
Answer:the large one needs 10 and the small one needs 6 so if you get this right can you pick me as the brainliest
Step-by-step explanation:
We know that Jorge is making 6 large salads and 4 small salads. Each large salad needs 10 cherry tomatoes and each small salad needs 6 cherry tomatoes. 6 large salads need 10 cherry tomatoes
The measure of Juan's angle is modeled by 2x2+6x−5. The measure of Sally's angle is modeled by 8x+31. Which polynomial expression represents how much greater the measure of Juan's angle is than Sally's?
a.) 2x2−2x−362 x squared minus 2 x minus 36
b.) 2x2−2x−262 x squared minus 2 x minus 26
c.) 2x2+2x+362 x squared plus 2 x plus 36
d.) 2x2+14x+26
Answer: 2x^2-2x-36 is the correct answer
Step-by-step explanation: Add 8x+31 and 2x^2-2x-36 and you will get 2x^2+6x-5. (i took the test and got it correct)
Helppppp I’m literally so confused this makes no sense
Answer:
#1: Alternet Exterior
#2: Corresponding
#3:Same Side Interior
#4:Alternate Interior
Step-by-step explanation:
(The Blue box in the image represent the inside/interior)
Hopefully the image helps!
Greg bought 28 pounds of sugar for $11.
How many dollars did he pay per pound of sugar?
Answer:
$2.54
Step-by-step explanation:
You divide 28 by 11 and you get 2.54545454545, which you can just sum down to 2.54 (I think thats right)
In ΔHIJ, h = 3.7 cm, i = 5.4 cm and j=3.8 cm. Find the measure of ∠H to the nearest degree.
Answer:
43
Step-by-step explanation:
deltamath
Answer:43
Step-by-step explanation:
Given sinx=1/3, cosy=3/4, and both x and y are in quadrant iv, find cos(x-y) and sin(x+y)
Answer: [tex]\dfrac{6\sqrt{2}+\sqrt{7}}{12},\ \dfrac{-3-2\sqrt{14}}{12}[/tex]
Step-by-step explanation:
Given
x and y is in the fourth quadrant
[tex]\sin x=-\dfrac{1}{3}\\\\\cos y=\dfrac{3}{4}[/tex]
we know,
[tex]\cos (x-y)=\cos x\cos y+\sin x\sin y\\\sin (x+y)=\sin x\cos y+\cos x\sin y[/tex]
using [tex]\sin ^2\theta +\cos^2 \theta =1[/tex]
[tex]\Rightarrow \cos x=\dfrac{2\sqrt{2}}{3}\\\\\Rightarrow \sin y=-\dfrac{\sqrt{7}}{4}[/tex]
[tex]\Rightarrow \cos(x-y)=(\dfrac{2\sqrt{2}}{3})\times (\dfrac{3}{4})+(-\dfrac{1}{3})\times (-\dfrac{\sqrt{7}}{4})=\dfrac{6\sqrt{2}+\sqrt{7}}{12}\\\\\\\Rightarrow \sin (x+y)=(-\dfrac{1}{3})\times \dfrac{3}{4}+\dfrac{2\sqrt{2}}{3}\times (\dfrac{-\sqrt{7}}{4})=\dfrac{-3-2\sqrt{14}}{12}[/tex]
how many times can 10 go into 111? lol i need help
Answer:
11.1 times
Step-by-step explanation:
Answer:
11 times
Step-by-step explanation:
10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110
can somebody please help, I want to say it's be, but I also think it might be D
Step-by-step explanation:
I think it's option B is the correct answer of this question.
What is X-4<5 Helpppp I dont understand
Answer:
x<9
Step-by-step explanation:
isolate the x by adding 4 on both sides. then add 4+5 to get 9.
i hope this helps :)
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
33.51
Step-by-step explanation:
V=4 3πr3=4 3·π·23≈33.51032
Quick! Please help...... this needs to be 20 letters
Step-by-step explanation:
there you go that is the answer
please help me outt
Answer:
see explanation
Step-by-step explanation:
The scientific notation is 3.212 · 10^8
RHOMBUS The diagonals of rhombus ABCD intersect at E. Given that
mZBAC = 53° and DE = 8, find the indicated measure.
B
А.
53°
mZAED
m2 DAC
m ZADC
AE
DB
8
E
с
AC
D
11. Name the four isosceles triangles in rhombus ABCD.
12. Name three properties of AC and BD.
Answer:
Question 11:
[tex]\angle DAC = 53^\circ[/tex]
[tex]\angle AED = 90^\circ[/tex]
[tex]\angle ADC = 74[/tex]
[tex]DB = 16[/tex]
[tex]AE = 6.03[/tex]
[tex]AC = 12.06[/tex]
Question 12:
[tex]\triangle ABD[/tex], [tex]\triangle BAC[/tex], [tex]\triangle CDA[/tex] and [tex]\triangle DAB[/tex]
Question 13:
AC and BD are perpendicular lines, and they are diagonals
Step-by-step explanation:
Question 11
Given
[tex]\angle BAC = 53^\circ[/tex]
[tex]DE = 8[/tex]
See attachment for Rhombus
Required
Determine the indicated sides
Solving (a): [tex]\angle DAC[/tex]
Diagonal CA divides [tex]\angle DAB[/tex] into 2 equal angles
i.e
[tex]\angle DAC = \angle BAC[/tex]
So:
[tex]\angle DAC = 53^\circ[/tex]
Solving (b): [tex]\angle AED[/tex]
The angles at E is 90 degrees because diagonals AC and BD meet at a perpendicular.
So:
[tex]\angle AED = 90^\circ[/tex]
Solving (c): [tex]\angle ADC[/tex]
First, we calculate [tex]\angle ADE[/tex], considering [tex]\triangle ADE[/tex]:
[tex]\angle ADE + \angle AED + \angle DAC = 180[/tex]
[tex]\angle ADE + 90 + 53 = 180[/tex]
[tex]\angle ADE + 143 = 180[/tex]
[tex]\angle ADE = -143 + 180[/tex]
[tex]\angle ADE = 37[/tex]
To calculate [tex]\angle ADC[/tex], we have:
[tex]\angle ADC = 2*\angle ADE[/tex]
[tex]\angle ADC = 2* 37[/tex]
[tex]\angle ADC = 74[/tex]
Solving (d): [tex]DB[/tex]
From the rhombus
[tex]DB = DE +EB[/tex]
Where
[tex]DE =EB[/tex]
So:
[tex]DB = 8 + 8[/tex]
[tex]DB = 16[/tex]
Solving (e): [tex]AE[/tex]
To do this we consider [tex]\triangle ADE[/tex]
Using the tan formula
[tex]tan(\angle ADE) = \frac{AE}{DE}[/tex]
[tex]\angle ADE = 37[/tex] and [tex]DE = 8[/tex]
So:
[tex]\tan(37) = \frac{AE}{8}[/tex]
[tex]AE = 8 * \tan(37)[/tex]
[tex]AE = 6.03[/tex]
Solving (f): [tex]AC[/tex]
This is calculated as:
[tex]AC = AE + EC[/tex]
Where
[tex]AE = EC[/tex]
[tex]AC = 6.03 +6.03[/tex]
[tex]AC = 12.06[/tex]
Question 12: Isosceles Triangle
In the rhombus, all 4 sides are equal;
So, the isosceles triangle are:
[tex]\triangle ABD[/tex], [tex]\triangle BAC[/tex], [tex]\triangle CDA[/tex] and [tex]\triangle DAB[/tex]
Question 13:
AC and BD are perpendicular lines, and they are diagonals
solve the equation for the variable, show your work
11x - 16 = -49
x = _____
Answer:
x = -3Step-by-step explanation:
Given,11x - 16 = -49
=> 11x = - 49 + 16
=> 11x = -33
[tex] = > x = \frac{ - 33}{11} [/tex]
=> x = -3 (Ans)
Answer:
x=-3
Step-by-step explanation:
1. Add 16 to both sides of the equation
11−16=−49
11−16+16=−49+16
2. Simplify.
IF you add the numbers you will get:
11x=-33
3. Divide both sides of the equation by the same term
11=−33
11/11=−33/11
4. Simplify.
x=-3
Hope this helps :)
help pls i need help
Answer:
The second and third one
Step-by-step explanation:
According to the statement, numbers between 4 and 5 is 4.1 - 4.9
But it is doubled so it is 8.2 - 9.8
These numbers are greater than 8 and less than 9
These numbers are also greater than 9 and less than 10
please help! will give brainliest, 15 points
Answer:
Step-by-step explanation:
i need the points sorry dude!
Answer:
3*(4+5)-6=21
4*(3+2)-8=12
Step-by-step explanation:
describe what congruent figures and similar figures have in common
Answer:
Congruent figures have the same measurements in angles (degrees) and sides (units).
Similar figures are figures that have the same general shape and don't necessarily have to have the same size or measurements.
Something they have in common are corresponding angles and corresponding sides.
Find the area and perimeter pls!!!
P = a + b + c =4.81 + 8.8 + 8.42 = 22.03
A Camera has a list price $560.99 before tax if the sales tax rate is 7.75% find the total cost of the camera wit sale tax included round your answer to the cent
Answer:
$604.47
Step-by-step explanation:
Given data
Cost of camera= $560.99
Tax= 7.75%
Let us find the amount of the tax
=7.75/100* 560.99
=0.0775*560.99
=$43.48
Hence the amount of the tax is $43.48
Therefore the total cost is
=43.48+560.99
=$604.47
Which of the following is equivalent to the addition problem below?
46.61 + 51.52
A.
(40 + 50) + (6 + 1) + (0.6 + 0.5) + (0.01 + 0.02)
B.
(40 + 50) + (6 + 5) + (0.6 + 0.1) + (0.01 + 0.02)
C.
(40 + 10) + (6 + 5) + (0.6 + 0.5) + (0.01 + 0.02)
D.
(40 + 50) + (6 + 1) + (0.6 + 0.1) + (0.05 + 0.02)
Answer:
A) (40 + 50) + (6 + 1) + (0.6 + 0.5) + (0.01 + 0.02)
Step-by-step explanation:
In this case, you are breaking each term down to it's non-zero digits, and adding them:
46.61 = 40 + 6 + 0.6 + 0.01
51.52 = 50 + 1 + 0.5 + 0.02
Note however, that the answer choices add each individual non-zero terms together:
(40 + 50) + (6 + 1) + (0.6 + 0.5) + (0.01 + 0.02), or A)
A) (40 + 50) + (6 + 1) + (0.6 + 0.5) + (0.01 + 0.02) is your answer.
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Answer:
You're answer is c 55/6.
Answer:
C. 55/6
Step-by-step explanation:
It’s 11/3 + 11/2. To get the same denominator multiple the top and bottom of the left fraction by 2 and the top and bottom of the right fraction by 3. Then you get 22/6 + 33/6 which is 55/6
4. If y = 5x – 3 and 3x - y = -1, what is the value of y?
A 2
B -1
C 7
D -8
answers:
4.C po
Step-by-step explanation:
i hope its help
Please Help Me With This Math. It's 4th Grade Math!!!
Answer:
1 1/2 hours
=
Other ways to show would be; = 1 1/2 hours = 1 .5 hrs = 90 minutes
Step-by-step explanation:
We write out the question 2 1/4 - 3/4 = ?
Then you use the model A below
Next you can add on from the smaller number 3/4 being step 1
And you use model B to find step 2 + step 3 as it reminds you that there is 1/4 in total time being the smallest box out of the sum.
step 1 = 3/4 + 1/4 = 1 = 1/4 is missing in A model box
step 2 = + 1 (to make 2) = 1 is left in B model box
step 3 is + 1/4 is left in B model box
Then add the up = 1/4 + 1 + 1/4 = 1 1/2
Your answers will be model represents 3hrs divided into 6 hours
Jessi played in the afternoon
Playedi n afternoon for 1 1/2 hours
Answer:
1 1/2 hours
Step-by-step explanation:
Karen is working on her math homework. She solves the equation b/7
= 35 and says that the solution is b = 5. Do you agree or disagree with Karen?
Answer:
disagree
Step-by-step explanation:
subtituting b with 5 we get 5/7=35. they are not equal do karen is not correct.
Answer:
No
Step-by-step explanation:
If the equation was 7b=35 then yes Karen would be correct. However the equation is b/7=35 which would get you b = 245
The number of kilograms, y, of original oxygen that remain in the body after t hours can be modeled by the equation y = 0.32(0.76)t . What is the rate of decrease of original oxygen?
Answer:
24%
Step-by-step explanation:
The number of kilograms, y, of original oxygen that remain in the body after t hours can be modeled by the equation y = 0.32(0.76)^t . What is the rate of decrease of original oxygen?
The formula for Exponential Decrease is given as:
y = a(1 - r)^t
Where
y = Amount after time t
a = Original amount
r = Rate of decrease
t = Time
Comparing both Equations
y = 0.32(0.76)^t = y = a(1 - r)^t
We know that
0.76 = 1 - r
Solving for r
Collect like terms
r = 1 - 0.76
r = 0.24
Converting to Percentage
= 0.24 × 100
= 24%
Therefore, the rate of decrease of original oxygen is 24%
Find the slope of the line
Answer:
Slope is 2
Step-by-step explanation:
To find the slope of a line, pick two points and do y1-y and x1-x
The two points I picked is (2,3) and (5,9)
y1=9
y=3
----------
x1=5
x=2
Subtract, then put it as a fraction.
6/3 or 2.
Martin is making bracelets with yarn and has 4 yards of yarn. Each bracelet takes (1/6) of a yard of yarn. How many bracelets can he make?
Answer:
24
Step-by-step explanation:
if he splits 1 yard into 6 pcs for 6 bracelets 4 times, thats 24 pieces of yarn that are 1/6 of a yard long meaning he can make 24 bracelets
please help i’ll give brainliest if you help thanks
Answer:
pretty sure its 4b!
Step-by-step explanation:
Answer:
4b
Step-by-step explanation:
Please help me The difference of two numbers is 9. If the larger number is one more than twice the smaller number, find the lager number
Answer:
17
Step-by-step explanation:
Let the larger number be represented by x
Let the smaller number be represented by y
from the question, the next equations can be gotten :
x - y = 9 equation 1
x = 1 + 2y equation 2
Substitute for x in equation 1
1 + 2y - y = 9
1 + y = 9
Collect like terms
y = 9 - 1
y = 8
Substitute for y in equation 1 and solve for x (the larger number)
x - 8 = 9
x = 9 + 8
x = 17