FIND THE VALUEOF THE VARIBLE AND FILL THE BLANK.
6) 23F-17=29
7) 2(3G+4)=56
8) H+9=0
9) 3(K-8)=96
10) 5M-5=0
Answer:
f = 2
g = 8
h = -9
k = 40
m = 1
Step-by-step explanation:
Equation 1:
23f - 17 = 29
Add 17 to both sides. This undoes the -17.
23f = 29 + 17
Add 17 to 29 to get 46.
23f = 46
Divide both sides by 23. This undoes the multiplication by 23.
f = 46/23
Divide 46 by 23 to get 2.
f = 2
Equation 2:
2(3g + 4) = 56
Divide both sides by 2. This undoes the multiplication by 2.
3g + 4 = 56/2
Divide 56 by 2 to get 28.
3g + 4 = 28
Subtract 4 from both sides. This undoes the +4.
3g = 28 - 4
Subtract 4 from 28 to get 24.
3g = 24
Divide both sides by 3. This undoes the multiplication by 3.
g = 24/3
Divide 24 by 3 to get 8.
g = 8
Equation 3:
h + 9 = 0
Subtract 9 from both sides. This undoes the +9.
h = 0 - 9
Any number subtracted from 0 gives its negation.
h = -9
Equation 4
3(k - 8) = 96
Divide both sides by 3. This undoes the multiplication by 3.
k - 8 = 96/3
Divide 96 by 3 to get 32.
k - 8 = 32
Add 8 to both sides. This undoes the -8.
k = 32 + 8
Add 8 to 32 to get 40.
k = 40
Equation 5:
5m - 5 = 0
Add 5 to both sides. This undoes the -5
5m = 0 + 5
Anything plus 0 gives itself.
5m = 5
Divide both sides by 5. This undoes the multiplication by 5
m = 5/5
Anything divided by itself gives you 1.
m = 1
Y varies directly as X. If x= 6 when y=2. Find the constant and write an equation.
If y= 18 find x.
Answer:
x=54
Step-by-step explanation:
Terry is purchasing a bike that is on sale for 40% off the original price. After a coupon is applied that reduces the sale price by 20%, Terry's final cost for the bike is $168. What was the original price of the bike Terry is purchasing?
Answer:
$420
Step-by-step explanation:
(100 - 40)x = 60x
60x - 20 = 40x
0.4x = $168
x = $168/0.4 = $420
Your friends shuffle the cards and then deal them. Select probability of getting a red card. Select probability of getting a spade card.
Answer:
1/2 ; 1/4
Step-by-step explanation:
Number of cards in a deck = 52
Number of red cards = 26
Number of spades = 13
Probability of event A :
P(A) = required outcome / Total possible outcomes
P( red card) = number of red cards / total cards in deck
P(red card) = 26 / 52 = 1/2
P(spade) = number of spades / total cards in deck
P(red card) = 13 / 52 = 1 / 4
A computer has a price of $400.with sales tax,it will cost $416. What is the sales tax percentage
100 - 80% = 20 %
20% = $416
416 x 5 = $2080 = 100%
Is this proportional 1/7, 4/28
Answer:
yes it is proportional
Step-by-step explanation:
Work out the missing numbers:
a) 1.5 x__=10.5
b)__X 1.3 = 1.56
Answer:
a) 7
b)1.2
Step-by-step explanation:
10.5÷1.5=7
1.56÷1.3=1.2
A box of chocolates contains 18 chocolate squares. Ten of the squares are milk chocolate, 5 are dark chocolate, and 3 are white chocolate.
If Christina randomly chooses a chocolate out of the box, what is the probability of her choosing a white chocolate square?
A 1/18
B 1/6
C 5/18
D 1/3
Answer:
d
Step-by-step explanation:
18/36 is equivalent to 1/3
Jesse collected 42 football cards and 28 baseball cards. Simplify the ratio of baseball cards to football cards in his collection. 6.RP.1
Answer:
14:21
Step-by-step explanation:
Answer:
2:3
Step-by-step explanation:
Find what can be divided into 42 and 28 evenly.
28 divided by 14= 2 (Baseball cards)
42 divided by 14=3 (Football cards)
Hope I helped!! :)
Brainliest?!?!
Stay safe and have a good day/afternoon/night!!!
Find the median of each set of data. 12, 8, 6, 4, 10, 1 7 6, 3, 5, 11, 2, 9, 5, 0 5 30, 16, 49, 25
Answer:
first 7 then 5 and 27.5
Step-by-step explanation:
Pls help meeeeeeeeeeee
I need assistance plz ;-; 50 points on the table
Indicate in standard form the equation of the line passing through the given points, writing the answer in the equation box below
R(3,3) S(-6,-6)
Answer:
[tex] \frac{(y - 3)}{(x - 3)} = \frac{( - 6 - 3)}{( - 6 - 3)} = \frac{( - 9)}{( - 9)} = 1 \\ \frac{(y - 3)}{(x - 3)} = 1 \\ y - 3 = x - 3 \\ \boxed{y = x}[/tex]
Slope of the equation is 1 and intercept of the equation is 0.
if the point (2,-5) is reflected in the line y=x, then the image is what? { this is about reflections btw}
a. ( 5,-2) b. (-2,5) c. (-5.2) d. (-5,-2)
Answer:(-5,2)
Step-by-step explanation:
I don’t understand this
Answer:
x=32
Step-by-step explanation:
Arrange the equation in a manner that all variables are on the same side and all numbers with no variables are on the other side=
41+23=-6x+8x
64=2x
x=64/2
x=32
3x + 7 = y-5
trying to find y
Answer: Simplifying
3x + 7 = y + -5
Reorder the terms:
7 + 3x = y + -5
Reorder the terms:
7 + 3x = -5 + y
Solving
7 + 3x = -5 + y
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + 3x = -5 + -7 + y
Combine like terms: 7 + -7 = 0
0 + 3x = -5 + -7 + y
3x = -5 + -7 + y
Combine like terms: -5 + -7 = -12
3x = -12 + y
Divide each side by '3'.
x = -4 + 0.3333333333y
Simplifying
x = -4 + 0.3333333333y
Step-by-step explanation: Hope it helps please mark brainliest.
i'm training my robots to eat midnight cupcakes. every 14 days it eats 4 cupcakes and id like enough for the next 28 days. how many do I buy?
Answer:
8 cupcakes
Step-by-step explanation:
It eats 4 every 14. 14x2=28 so two sets of four.
A chemist has a mixture with a temperature of 3.5°C. Then the chemist cools the mixture. The temperature changes by -14.2°C. What is the temperature of the mixture after it cools? Show your work.
Answer:
-10.7°C
Step-by-step explanation:
The change in the temperature is the difference between the initial temperature and the final temperature. Let the initial temperature be T1 and the final be T2 then the change in temperature will be
= T2 - T1
Hence
-14.2 = T2 - 3.5
T2 = -14.2 + 3.5
= - 10.7°C
The temperature of the mixture after it cools is -10.7°C
What is 1 + 3 (x - 5)
Answer:
1 + 3 (x - 5) = 3x - 14
Step-by-step explanation:
Given:
1 + 3 (x - 5)
Open parenthesis
= 1 + {(3 * x) - (3 * 5)}
= 1 + (3x - 15)
= 1 + 3x - 15
= 3x - 14
1 + 3 (x - 5) = 3x - 14
How do you simplify square roots.
Answer:
Simplifying a square root just means factoring out any perfect squares from the radicand, moving them to the left of the radical symbol, and leaving the other factor inside the radical symbol. If the number is a perfect square, then the radical sign will disappear once you write down its root.
If this pattern continues how many squares will be in the 10th figure
Answer: E
Step-by-step explanation:
Answer:32
Step-by-step explanation:
you add 3 blocks each time
What is the volume of the triangular prism
Hight 10in
Base 14 in
Length 6
Answer:
[tex]V=336\ in^3[/tex]
Step-by-step explanation:
Triangular Prism
Given a triangular prism of base area A and height H, its volume is obtained with the formula:
V = AH
The area of the base is calculated as follows:
[tex]A = \frac{WL}{2}[/tex]
Where W is the width and L is the length. Both dimensions must be perpendicular.
The triangle of the base has a hypotenuse equal to 10 in and the width is 6 in, the length is calculated by:
[tex]L=\sqrt{10^2-6^2}[/tex]
[tex]L=\sqrt{100-36}=\sqrt{64}[/tex]
L = 8 in
The area is:
[tex]A = \frac{6*8}{2}[/tex]
[tex]A = 24\ in^2[/tex]
Finally, the volume is:
[tex]V = 24\ in^2*14\ in[/tex]
[tex]\boxed{V=336\ in^3}[/tex]
A dozen burritos cost $3.69. How much is one burrito?
0 A $0.31
O B. $0.37
O C. $0.40
O D. $3.90
Answer:
A, .31
Step-by-step explanation:
If 12 burritos costs 3.69 then you just divide it by 12 and get .3075 which rounds to A
Answer:
A
Step-by-step explanation:
$3.69/12=0.3075 round your answer .
0.31
I thought of a number, subtracted it from 6 1/4 , multiplied the difference by 1 2/3 and then by 2 4/5 . The result was the same as the result of division of 146 by 5 3/14 . What was my number?
Answer:
The number was 1/4
Step-by-step explanation:
Let the
number be x
from the question, we have
6 1/4 - x
multiplied difference;
(6 1/4 - x) 1 2/3
The
next multiplication will give;
1 2/3 * 2 4/5
= 5/3 * 14/5 = 14/3
So we have;
(6 1/4 - x) 14/3
Result is same as:
146 divided by 5 3/14
= 146 * 14/73 = 28
Thus;
(61/4 - x) * 14/3 = 28
(25/4 - x) * 1/3 = 28/14
(25/4 - x) * 1/3 = 2
(25-4x)/4 = 6
25-4x = 6(4)
25-4x = 24
25-24 = 4x
4x = 1
x = 1/4
Coffee café mix 90 pounds of coffee that cost six dollars per pound the types of coffee used to make this makes you cost seven dollars and four dollars per pound how many pounds of the seven dollar per pound coffee should be used in this mixture
Answer:
y = 60
Step-by-step explanation:
From the information we get:
x quantity of 4 dollars coffee used in the mix
y quantity of 7 dollars coffee used in the mix
For the quantity of coffee to be sold a 7 $/pound ( 90 pounds)
Then 6*90 = 540 $
Therefore
x + y = 90 and
4*x + 7*y = 540
A two equations system we solve for x and y
y = 90 - x
4*x + 7* ( 90 - x ) = 540
4*x + 630 - 7*x = 540
- 3*x = - 90
x = 30 pounds and
y = 90 - 30
y = 60
We should use 60 pounds of the seven $ coffee
What is an equivalent expression for 4(2m + n)
Answer:
8m+4n
Step-by-step explanation:
4(2m+n)
you have to distribute 4 to 2m and n
so your answer will be
8m+4n
Hope this helped :))
Answer:
8m + 4n
Step-by-step explanation:
To find the answer, you should distribute the 4 on the outside of the parentheses to each of the terms inside the parentheses, which would get: 4(2m) + 4n.
Simplify 4(2m) by multiplying, which gets 8m.
The equation is then 8m + 4n, which cannot be added together because the variables are different.
Write the equation of the line, in slope-intercept form, with the following information: slope -1/2 y-intercept: (0, 3)
Answer:
Y=-1/2+3
Step-by-step explanation:
Luke plotted the number of hits he got in his baseball games this season versus the number of games played on a scatter plot. He then determined two lines of best fit and looked at the two residual plots shown below to determine which line is a better fit for the data that he collected. Luke wants to use the line of best fit that best fits the data to help him determine how many hits he will get as he plays more games. Determine which statements are true and which are false regarding the line of best fit for the data collected. Select True or False for each statement.
Answer:
Step-by-step explanation:
True
False
False
Can someone please help me??
Answer:
b=3, y=6
Step-by-step explanation:
Label the 2 equations:
2b +6y= 42 -----(1)
2b +4y= 30 -----(2)
(1) -(2):
(2b +6y) -(2b +4y)= 42 -30
2b +6y -2b -4y= 12
2y= 12
y= 12 ÷2 (÷2 on both sides)
y= 6
Susbt. y=6 into (2):
2b +4(6)= 30
2b +24=30
2b= 30 -24 (-24 on both sides)
2b= 6
b= 6 ÷2
b= 3
Answer:
y = 6, b = 3
Step-by-step explanation:
Since both equations have 2b in them, subtracting them gets you a quick result because the 2b-2b cancels out!
2b + 6y = 42
2b + 4y = 30
------------------ -
2y = 12
y = 6
Then 2b = 42 - 36 = 6, so b = 6/2 = 3
A school chorus has 90 sixth-grade students and 75 seventh-grade students. The music director wants to make groups of performers, with the same combination of sixth- and seventh-grade students in each group. She wants to form as many groups as possible.
Answer:
The music director could make 15 groups of performers with 6 6th grade students and 5 7th grade students in each group.
Step-by-step explanation:
Since in the question it is mentioned that
There is 90 6th grade students and 75 7th grade students
Now factor could be done in the following ways
90 = 2 × 45 = 2 × 3 × 15 = 2 × 3 × 3 × 5
75 = 3 × 25 = 3 × 5 × 5
Now the GCF of 90 and 75 is
= 3 × 5
= 15
So,
90 = 15 × 6
75 = 15 × 5
Hence, The music director could make 15 groups of performers with 6 6th grade students and 5 7th grade students in each group.
How much space does Riya have left in the room. Give your answer in metres.
Answer:
1.84 (precisely)
Step-by-step explanation:
width of the cupboard = 1m
1m to cm
1 × 100= 100cm
100cm + 84cm = 184cm
1m = 100cm
184/100 = 1.84m
