Answer:
[tex] {x}^{2} + 4x - 30 = - 3x \\{x}^{2} + 7x - 30 = 0 \\ {x}^{2} - 3x + 10x - 30 = 0 \\ x(x - 3) + 10(x - 3) = 0 \\ (x - 3)(x + 10) = 0 \\ \boxed{x = 3} \\ \boxed{x = - 10}[/tex]
x=3 or x=-10 is the right answer.He pays for the board game and pays $1.54 the tax rate is 5.5%
What is the original price of the board game, before tax?
Answer:
Hsvdbdbdb
Step-by-step explanation:
Evdghdbdbs
Evaluate each expression and match it with its correct value.
1. 9
4
1-41
2.1
9
1-91
3. 4
1-21
4. 11
111
5. 2.
1111
8 cm
6 cm
Make an equation to find the area of the rectangle. Move numbers and symbols to the lines.
Answer:
48
Step-by-step explanation:
Riya wants curtains in her room. These are the lengths of curtains in metres. 1.0 m, 1.25 m, 1.5 m The lengths follow a pattern. Riya wants the next length up from 1.5 m. What length of curtains will Riya buy?
Answer:
1.75
Step-by-step explanation:
Since the curtains are going up in .25. We need to add .25 to 1.5.
1.5 + .25 = 1.75
The length of curtains will Riya buy is 1.75 m.
What is sequence?A sequence is an arrangement of numbers in a specific order. A series, on the other hand, is defined as the sum of the elements in a sequence.
For example, In the sequence 1, 3, 5, 7, 9, …, 1 is the first term, 3 is the second term, 5 is the third term, and so on.
We have length of curtains as
1m, 1.25 m, 1.5 m,...
Now, from above the first term is 1.
Common difference, d= 1.25 - 1 = 0.25
So, the next length of curtain will be
= 1 + (4-1)0.25
= 1 + 0.75
= 1.75 m
Learn more about Sequence here:
https://brainly.com/question/30262438
#SPJ2
Which of these strategies would eliminate a variable in the system of equations?
2x- 6y=6
6x - 4y = 2
Choose all answers that apply: more than 1
Multiply the bottom equation by 3 then subtract the bottom equation from the top equation
Multiply the bottom equation by -3/2 then add the equations.
Multiply the top equation by-3. then add the equations
Answer:
Multiply the bottom equation by -3/2 then add the equations.
Multiply the top equation by-3. then add the equations
Step-by-step explanation:
Given the simultaneous equation
2x- 6y=6 ... 1
6x - 4y = 2 ... 2
To eliminate a variable, we have to make the coefficient of one of the variable to be the same.
Multiply equastion 1 by -3
-6x+18y= -18
6x - 4y = 2
Add the result:
-6x + 6x + 18y-4y = -18+2
18y-4y = -18+2
14y = -18
y = -9/7
Another way is to Multiply the bottom equation by -3/2 then add the equations.
Multiplying equation 2 by -3/2 will give;
6x(-3/2) - 4y(-3/2) = 2(-3/2)
-9x + 6y = -3
Add to equation 1;
2x- 6y=6
-9x + 2x + 0 = -3+6
-7x = 3
x = -3/7
Hence the correct two options are;
Multiply the bottom equation by -3/2 then add the equations.
Multiply the top equation by-3. then add the equations
The table shows Reese's earnings from selling birdhouses. Which statements are correct for this situation?
HELPP
Expand and simplify (x + 3)(x + 5)
Answer:
xsquared+8x+15
Step-by-step explanation:
xsquared+3x+5x+15
xsquared+8x+15
It was estimated that 825 people would attend the soccer game , but 817 people actually attended what is the percent error , to the nearest percent , of the estimate
Answer:
1
Step-by-step explanation:
First we will divide those who attended with the estimated number 0f those who should attend.
= 817/825
= 0.9903
We will then multiply the above result with 100
= 100 × 0.9903
= 99.0303
The next step is to deduct the above result from 100
= 100 - 99.0303
= 1
Answer:
1
Step-by-step explanation:
PLEASE HELP! WORTH 35 POINTS!
Which property is shown by 9+8=8=9?
1: Distributive Property
2: Commutative Property of Addition
3: Associative Property of Addition
Answer:
A. Commutative Property of Addition
Step-by-step explanation:
Given equation,
9 + 8 = 8 + 9
If a and b are any real numbers,
By the commutative Property of Addition
a + b = b + a
By the identity Property of Addition
a + 0 = a
By the distributive Property,
a(b+c) = ab + ac
By the associative property of addition,
a + (b + c ) = (a + b) + c
Hence, OPTION A is correct.
Answer:
Commutative Property of Addition
Step-by-step explanation:
I assume you mean 9+8=8+9
In that case it is the Commutative Property of Addition.
That means you can switch the numbers around and it will stay the same value.
Determine whether this table represent a constant rate of change.
number of items
1
2
4
7
cost ($)
4.50 9.00 18.00 31.50
Yes
No
Answer:
Yes
Step-by-step explanation:
1 is 4.50
4.50*2=9
4.50+4.50
(4+4) + (0.50+0.50)
4.50*4=18.00
4.50+4.50+4.50+4.50
(4+4+4+4) + (0.50+0.50+0.50+0.50)
4.50*7= 31.50
4.50+4.50+4.50+4.50+4.50+4.50+4.50 0.50
(4+4+4+4+4+4+4) + (0.50+0.50+0.50+0.50+0.50+0.50+0.50)
Sorry if I confused you more when I broke it down. I just remembered the easiest way I learned
The table lists the number of items that 5 shops sold on a particular day. What is the mean absolute deviation of this data set?
Shop Number of
Items
1 32
2 26
3 43
4 38
5 46
A.
3.2
B.
4
C.
6.4
D.
9
E.
12.6
6.4 I think
.......................
Malcolm is feeling bags with rice he starts with a 5 1/4 pound container of rice and shells each bag with 5/8 pound of rice how many bags of rice can Malcolm fill
Answer:
8 2/5 bags of rice
Step-by-step explanation:
The above question is solved as;
5/8 pounds of rice = 1 bag of rice
5 1/4 pounds of rice = x bags of rice
Cross Multiply
5/8 pounds × x bags of rice = 5 1/4 pounds of rice × 1 bag of rice
x bags of rice = 5 1/4 pounds of rice × 1 bag of rice/ 5/8 pounds
x bags of rice = 5 1/4 ÷ 5/8
x bags of rice = 21/4 ÷ 5/8
x bags of rice = 21/4 × 8/5
x bags of rice = 42/5
x bags of rice = 8 2/5 bags of rice
Therefore, malcolm can fill 8 2/5 bags of rice.
The angle of depression from a helicopter to its landing space is 56°. If the helicopter is flying at 1000 ft, find the distance from the helicopter to the landing space
Answer:
[tex]1206.22\ \text{ft}[/tex]
Step-by-step explanation:
The height at which the helicopter is 1000 ft
Angle of depression is [tex]56^{\circ}[/tex]
[tex]\theta=90-56=34^{\circ}[/tex]
We have the relation
[tex]\cos\theta=\dfrac{\text{Adjacent side}}{\text{Hypotenuse}}\\\Rightarrow \cos34^{\circ}=\dfrac{1000}{x}\\\Rightarrow x=\dfrac{1000}{\cos 34^{\circ}}\\\Rightarrow x=1206.22\ \text{ft}[/tex]
The distance of the helicopter to the landing space is [tex]1206.22\ \text{ft}[/tex].
Help will give brisnly also show work
Answer:
Step-by-step explanation:
[tex]\frac{3}{5} +\frac{3}{4} \\=3(\frac{1}{5} +\frac{1}{4} )\\=3(\frac{4+5}{5 \times 4} )\\=\frac{27}{20} \\=1.35[/tex]
A store has a vending machine. Customers put in a quarter only, and they receive a handful of candy.
The machine is profitable if x > $40, where x is the amount of money in quarters at the end of one week.
Answer:
4>40
Step-by-step explanation:
1/4” is the same as 2/8"
Answer:
uhhh yeah it is
Step-by-step explanation:
Answer:
yes it is
Step-by-step explanation:
all you do is 1 times 2 = 2 and 4 times 2= 8 they are equivalent
Can someone please help me out?
9514 1404 393
Answer:
62°
Step-by-step explanation:
The measure of the external angle where the secants meet is half the difference of the arcs they subtend.
∠A = (DE - BC)/2
2×∠A = DE -BC
DE = BC + 2×∠A
DE = 38° +2(12°)
arc DE = 62°
write the equation of the line with a slope of 1/2 that passes through the point (-6,10)
Answer:
An equation is
[tex]y = \frac{1}{2} x + 13[/tex]
.
Step-by-step explanation:
☆Since since we're given the slope, all we need to do is find the y-intercept.
☆The slope-intercept formula is: y = mx + b.
☆We are going to plug in according to the formula.
[tex]y = mx + b \\ \\ 10 = \frac{1}{2} ( - 6) + b \\ 10 = - 3 + b \\ \frac{ + 3 = + 3 \: \: \: \: \: \: \: \: \: }{13 = b \: \: \: \: \: \: \: \: \: \: \: } [/tex]
☆We have everything we need, so now we put it together.
............please help
(b) Find the buying price of the following item when 5% Sales
Tax is added on the purchase of
5Kg of wheat at 20per kg
[2 marks]
Answer:
$105
Step-by-step explanation:
20 × 5 = 100
5% Increase = 105% of Original
100/100 × 105 = 105
It needs a simplified solution and pls deadline is tomorrow
Answer:
1. 3600
2. 40
3. 75%
4. missed 5 points. earned 18 points.
5. 20 cans
hope this helps!
If ΔGFE ~ ΔGHJ, find the value of x.
Answer:
x = 4 and -10.5.
Step-by-step explanation:
Set up the equation:
x+6/12=7.5/2x+1
Then cross multiply, and get your x value.
What is 25% of 30??????
Answer:
7.5
Step-by-step explanation:
First, turn 25% into a decimal. You do this by dividing 25 by 100.
25/100 = 0.25
Now, multiply 0.25 by 30.
30 x 0.25 = 7.5
4. (4-7)2 -
6.7 +20
Answer: 7.3
Step-by-step explanation:
Do the parentheses first!
4-7= -3
Then, multiply -3 by 2
-3×2= -6
Next,
-6-6.7= -12.7
Then, add -12.7 to 20
-12.7+20=7.3
Your answer is 7.3
helppp!
solve for x. show your work
6x + 10 = 40
Answer:
5
Step-by-step explanation:
Jessica is measuring two line segments. The first line segment is 300 cm long. The second line segment is 500 cm long. Find the total length of both the line segments.
Answer:
The total length of both the line segments is 800 cm long.
Step-by-step explanation:
Jazmyn is baking and selling cupcakes for $15 per dozen. She would like to make more than $120 in cupcake sales. Which number line below represents the solution to the situation?
Answer:
> 8
Kindly find number line in attacked picture
Step-by-step explanation:
Price of cupcake per dozen = $15
Projected amount of sales > $120
In other to make such amount in sale, we need to obtain the number of dozens of cupcake :
Project amount of sales / price per dozen
> $120 / $15
> 8 dozens
PLEASE HELP!!!!!!!!!!!!!!!!!!
Amir is putting beads on a string. He plans on starting with 8 round beads, then
24 square beads, then 48 round beads, and then p square beads (where p > 0).
At some point, after he has put on n beads (where n > 0), he realizes that on his
string there are twice as many beads of one shape than there are of the other
shape. Determine the maximum and minimum values of p that result in exactly 5
possible values of n.
Answer:
What would you add or change to the oath to the Vice President and the president?
Step-by-step explanation:
Answer:
Step-by-step explanation:
8x3=24 while 2x24=48
Which expression is equivalent to 6f-1+7f-8
13f+7
5f-1
-f+7
-9+13f
-9+13f
Step-by-step explanation:
6f-1+7f-8
6f+7f-8-1
13f-9
Pls help me 30 points plus brainlyist
What is the sum of
-2/5 plus 1/2
Answer:
0.1
Step-by-step explanation:
Answer:
1/10
Step-by-step explanation:
-4/10 plus 5/10 (Made the bottom number the same)
