Answer:
Step-by-step explanation:
The equation for that is
[tex]x^2+3x=70[/tex]
If we subtract over the 70, we have a quadratic that we can factor to solve for the values of x that will make that equation true.
[tex]x^2+3x-70=0[/tex]
Now we need the factors of 70 that will either add or subtract to give us the linear term of 3. The factors of 70 that will work are 10 and 7. 10 times 7 is 70, and 10 - 7 = 3:
[tex]x^2+10x-7x-70=0[/tex] and now we will factor by grouping:
[tex](x^2+10x)-(7x-70)=0[/tex] and factor out what's common:
[tex]x(x+10)-7(x+10)=0[/tex]
The factor (x + 10) is common, so we will now factor that out:
[tex](x+10)(x-7)=0[/tex]
By the Zero Product Property, either x + 10 = 0 or x - 7 = 0, so x = -10 or 7
Those are the 2 numbers that will work.
[tex](-10)^2+3(-10)=70[/tex] simplifies to
100 - 30 which does in fact equal 70. OR
[tex](7)^2+3(7)=70[/tex] which simplifies to
49 + 21 which also equals 70.
So you're done!
The values of the unknown number is 7 or - 10
The given expression from words to algebra;
let the unknown number = n
the square of the number = n²
three times the number = 3n
n² + 3n = 70
To find:
the values of nThe values of n is calculated as follows;
[tex]n^2 + 3n = 70\\\\n^2 + 3n - 70 = 0\\\\factorize \ the \ equation;\\\\n^2 + 10n - 7n - 70 = 0\\\\n(n + 10) - 7(n + 10) = 0\\\\(n-7)(n+ 10) = 0\\\\n = 7 \ or \ - 10[/tex]
Thus, the values of the unknown number is 7 or - 10
Learn more here: https://brainly.com/question/16889590
use the box- and whisker plot to identify the five number summary
Answer:
Min = 11
Q1 = 13
Median = 15
Q3 = 17
Max = 22
Step-by-step explanation:
The five-number summary that is displayed by the box plot above are:
The minimum value: the data value at the start of the whisker to your left = 11
The Q1 value: the data value at the beginning of the edge of the rectangular box = 13
The Median value: the data value at the vertical line that divides the rectangular box into two = 15
Q3 value: the data value at the end of the rectangular box = 17
Max: 22
Serves 4 people
200 g flour
4 Problem-solving Here is a recipe
for pancakes for four people.
Sophie makes pancakes for 14 people.
She has 800 g of flour, 1200 ml of
milk and 10 eggs.
Does she have enough ingredients?
350 ml milk
2 eggs
Answer:
ghjug,yhfgugug kuul
Step-by-step explanation:
Find the value of x in each case: (See picture)
Step-by-step explanation:
180-124=56°
180-56-2x-(180-6x)=0
180-56-2x-180+6x=0
-56+4x=0
4x=56
x=14°
........
2x=28
6x=84
If Q is the midpoint between P and R, PQ = 3x + 2 and QR = 7x - 18, find the value of x.
Answer:
x = 5
Step-by-step explanation:
Since Q is the midpoint of PR,
PQ = QR
=> 3x + 2 = 7x - 18
=> 3x - 7x = -18 - 2
=> -4x = -20
=> x = -20/-4
=> x = 5
Hope it helps :)
Please mark my answer as the brainliest
can anyone help me get the surface area of
2cm
5cm
8cm
Answer:
according to your question 2cm is length of the rectangle and 5cm width and 8cm height.
so the surface area of rectangle=2(lb+bh+hl)
surface area=2(2×5+5×8+8×2)
SA=2(66)
SA=132cm²
if your figure is cuboid than the answer is this if thi is not cuboid than comment me on comment section.
Can someone please help me with these A B C D it’s urgent zoom in if needed I’ll also mark brainliest don’t just randomly answer I will report u
Answer:
First doing it by mental math.
a. you do the same thing that you do when evaluating the expression but do it in your mind. First add the numbers before the decimal point and then add the numbers after decimal point. Then add the decimal where in the equation the decimal point lies. I got 13.0 or 13 when I did it in my mind.
b. Over we see that we have a negative number in the beginning and then positive number. You must be thinking that this is going to be hard to calculate it in your mind, but actually it is very easy. add 5 + 4.6 + 1 in your mind. You will get 10.6. Now subtract 10.6 - 5.6. You will get 5.
c. This is also easy. You are given a mixed number. What you will do is first solve the whole numbers in your mind (3, 4, 1). 3 - 4 + 1 = 0. Now you are only left with fraction. Solve the fractions in your mind. This is a trick that I use that doesn't work in all fraction. Sometimes I will have to solve it on paper, but sometimes I can just use my mind to solve. If you see in the equation you have 2 fractions with same denominator. So, add 1/6 + 5/6 = 1. Now subtract 1 - 3/4. It will give you 1/4.
Now let us solve it on paper. I have attached a picture of it.
Select an answer that corresponds to the correct sequence of steps to solve given equation 4y + 4 = 2y - 10
Answer:
y = -7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
4y + 4 = 2y - 10
Step 2: Solve for y
[Subtraction Property of Equality] Subtract 2y on both sides: 2y + 4 = -10[Subtraction Property of Equality] Subtract 4 on both sides: 2y = -14[Division Property of Equality] Divide 2 on both sides: y = -7Answer:
[tex]y = - 7[/tex]
Step-by-step explanation:
1. Subtract 2y from both sides.
[tex]4y + 4 - 2y = - 10[/tex]
2. Simplify 4y + 4 - 2y to 2y + 4.
[tex]2y + 4 = - 10[/tex]
3. Subtract 4 from both sides.
[tex]2y = - 10 - 4[/tex]
4. Simplify -10 - 4 to -14.
[tex]2y = - 14[/tex]
5. Divide both sides by 2.
[tex]y = - \frac{14}{2} [/tex]
6. Simplify 14/2 to to 7.
[tex]y = - 7[/tex]
Therefor, the answer is, Y = -7
Four friends are sharing 6 cups of lemonade. If they share the lemonade equally, how many cups will each friend get?
write what mixed number you got
Answer:
1 1/2 cups
Step-by-step explanation:
What is 10 1/3 in decimal form?
which is the best estimate for the sum of 2 7/8 + 2 4/5=
Answer:
6 because I would estimate 2 7/8 to 3 and 2 4/5 to 3 so 3 + 3 = 6
What is the number of degrees the minute hand of a clock moves between 10:21 pm and
10:34 pm on the same day?
Answer:
13
Step-by-step explanation:
Charlotte made a bracelet using red, gray, and white beads.
Five-ninths of the bracelet is white.
The rest of the bracelet has an equal amount of red and gray.
How much of Charlotte's bracelet is gray?
Substitute the given values into the formula, and solve for the unknown variable.
A = bh; A = 11, h = 11
Answer:
b=0
Step-by-step explanation:
A=bh
11=b11
11-11=b-11
0=b
I want to withdraw 400.00 for 9 years at 8%. How much do I need to deposit
Answer:
The principal investment required to get a total amount, principal plus interest, of $400.00 from simple interest at a rate of 8% per year for 9 years is $232.56.
Step-by-step explanation:
Given
Total accrued Amount A = 400.00 (Let say $)Time period t = 9 yearsInterest rate r = 8% = 0.08To determine
Principle P = ?
Using the formula
P = A / (1 + rt)
substituting A = 400.00, t = 9 and r = 0.08 in the formula
P = 400 / ( 1 + (0.08 × 9))
P = $232.56
Therefore, the principal investment required to get a total amount, principal plus interest, of $400.00 from simple interest at a rate of 8% per year for 9 years is $232.56.
NEED THIS ASAP
Find QA.
A.4
b.-4
c.16
d.28
Answer:
d. 28
Step-by-step explanation:
7x = 3x + 16
subtract 3x from both sides: 4x = 16
divide both sides by 4: x = 4
plug in four to find length of QA: 3 x (4) + 16 = 12 + 16 = 28
find the value of 7 in 47298
Answer:
Thousands place
Step-by-step explanation:
47,298 is written below. The place value is written next to it:
4 - ten thousands place
7 - thousands place
2 - hundreds place
9 - tens place
8 - ones place
I hope this helps!
Identifica la base y el exponente; entonces halla el valor
53
Base
Exponente
Please help me this I’m running out of time
Answer:
I chose 7 as the base and 2 as the Exponent
Step-by-step explanation:
7^2 . 7 is the base and 2 is the Exponent.
Standard Form: 7^2
Expanded Form : 7 • 7 = 49
Find the volume of prism
Answer: 343 ft^3
Step-by-step explanation:
To find the volume of a cube, the one side length is raised to the power of three whihc comes to 343 ft^3
8. Which diagram correctly depicts the expression below? -5 - 2 F. G. -6 -4 -2 2 4 -12 -10 -8 -6 -2 0 H. J. -8 -6 -4 -2 0 2 4 -2 4 6
Answer:
the sender is 23 I don't no if I am right tho
3a - 5 is an example of an? Expression or equation
Fred went to catch a minimun of 2 pounds of fish.He caught 5/16 pounds.He caught another fish that was 7/8 pounds.How many pounds of fish did he catch so far? What shoud be the minimun weight of the third fish so that he can catch at least 2 pounds of fish in total?
Answer:
12
Step-by-step explanation:
i think this because 7 + 5 = 12 but i'm not quite sure if this is right to be honest I haven't masterd this question before.
HELP IT IS 5th GRADE ONLY PLEASE I GIVE ALL STARS AND BRAINLY
Answer:
the height is 15
Step-by-step explanation:
Divide the area of the base and volume to get the height
I need help fast I appreciate it
what is a triangle with 75° 40° 65° classify as?
Answer:
scalene triangle
Answer:
Acute scalene triangle
Step-by-step explanation:
An acute triangle has three angles that each measure less than 90 degrees. An obtuse triangle is a triangle with one angle that is greater than 90 degrees. A right triangle is a triangle with one 90 degree angle.
See attached picture
Answer:
[tex]\frac{f(x+h)-f(x)}{h}[/tex][tex]=2x - h[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 8 - x^2[/tex]
Required
Determine: [tex]\frac{f(x+h)-f(x)}{h}[/tex]
First, we calculate f(x + h)
[tex]f(x) = 8 - x^2[/tex]
[tex]f(x+h) = 8 - (x+h)^2[/tex]
[tex]f(x+h) =8- x^2-2xh-h^2[/tex]
So, we have:
[tex]\frac{f(x+h)-f(x)}{h}[/tex] [tex]= \frac{8- x^2-2xh-h^2 - 8 + x^2}{h}[/tex]
[tex]\frac{f(x+h)-f(x)}{h}[/tex] [tex]= \frac{8 - 8 + x^2- x^2-2xh-h^2}{h}[/tex]
[tex]\frac{f(x+h)-f(x)}{h}[/tex] [tex]= \frac{-2xh-h^2}{h}[/tex]
[tex]\frac{f(x+h)-f(x)}{h}[/tex][tex]=2x - h[/tex]
If a window is 10 in + 14 in + 4 in what is the area of the window
Answer:
10 x 14 x 4 = 560
Step-by-step explanation:
You have to multiple all the numbers to get the area of a surface. Dont forget to include your measurements
Hope this helps
The point
P
is on the unit circle. If the y-coordinate of
P
is
−
3
5
, and
P
is in quadrant IV , then
If the y-coordinate of P is −3/5, and P is in quadrant IV, then x = 4/5
How to find the coordinate of a unit circle?
In Trigonometry, the unit circle is a special circle that is centered on the origin of a coordinate grid, with a radius equal to 1 unit.
Now, we are told that the point P is on the unit circle and also we know that the length of the line from P to the origin is exactly 1 unit.
We're also given a y-coordinate as, y = -3/5.
The y-coordinate denotes the length of a perpendicular line from point P to the x-axis.
If x is the x-coordinate, y is the y-coordinate, and h is the hypotenuse length, we can set up the equation vis Pythagoras theorem as:
x² + y² = h²
Making x the subject gives;
x = √(h² – y²)
Plug in the relevant values h = 1 and y = -3/5 to get;
x = √(1)² – (-3/5)²
x = √1 – 9/25
x = √16/25
x = 4/5
We are told that P is in quadrant IV, which has negative values for both y and positive values for x and as such x is positive.
Thus, x = 4/5
Read more about Unit Circle Coordinate at; https://brainly.com/question/26284611
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A chocolate company selects 30 random packages to check their weight. They find 3 packages have an incorrect weight. How many packages out of 3,000 should the company predict have incorrect weights?
Answer:
300 packages
Step-by-step explanation:
Find the square root of the following decimal numbers.
Answer:
Answer is in picture
Step-by-step explanation:
Hope it is helpful.......
Answer:
square root of
2.56=√(2.56)=1.618.49=√(18.49)=4.368.89=√68.89=8.384.64=√84.64=9.2