Answer:
x=−2 or x=−3
Step-by-step explanation:
Help ME PLSS WHOEVER ANSWERS FIRST WILL GET A BRAINLIEST!!!!
Jodie works at the local candy store and sells candy by the pound. She
sells 2½ pounds of gumdrops, 3 pounds of orange slices, and
¾ pounds of gummi bears. How much candy did Jodie sell altogether?
Answer:
6.25 or 6 1/4
Step-by-step explanation:
Jodie sold 6.25 candy altogether.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
The operator that perform the arithmetic operations are called arithmetic operators.
Operators which let do basic mathematical calculation
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
For example 4 -2 = 2
* Multiplication operation : Multiplies values on either side of the operator
For example 4*2 = 8
Given that
Jodie sells 2½ pounds of gumdrops,
3 pounds of orange slices, and ¾ pounds of gummi bears.
Convert the fractions into decimals
Number of pounds of gumdrops = 2½ = 5/2 = 2.5
Number of pounds of gummi bears = ¾ = 0.75
So the total amount of candy Jodie sold :
⇒ 2.5 + 3 + 0.75
⇒ 6.25
Hence, Jodie sold 6.25 candy altogether.
Learn more about the fraction here:
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Megan use 2/3 cup of almonds to make 4 cups of trail mix. Using this same portion, how many cups of almonds would Megan need to make 9 cups of trail mix.
: A coin is thrown 30 times.
The coin lands on tails 20 times.
What is the relative frequency of the coin landing on tails?
Answer:
let H represent the head's outcome
let T represents the outcome of tails.
if the coin is tossed 3times The total number outcomes are
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
O treime din numărul elevilor participanti la o activitate de curatenie in parc (adica 106) sunt din clasele a iii-a cati elevi participa la acea activitate?
Răspuns:
318 de participanți
Explicație pas cu pas:
Dat fiind:
Număr în parc = 106
Numărul din parc reprezintă 1/3 din numărul elevilor care participă la activitatea de curățenie.
Pentru a obține numărul total de studenți care participă la activitate; fie numărul total = x
Prin urmare;
1/3 din x = 106
x / 3 = 106
Înmulțiți ambele părți cu 3
x = 318
Prin urmare, numărul total de studenți implicați în activitatea de curățenie = 318 stuaen
find the value of k by
quardractic equation two real and equal roots
5x - 2kx +20=0
Answer:
k = +10 or -10
Step-by-step explanation:
It's given in the question that the roots of the eqn. are real and equal. So , the discriminant of the eqn. should be equal to 0.
[tex] = > {b}^{2} - 4ac = 0[/tex]
[tex] = > {( - 2k)}^{2} - 4 \times 5 \times 20 = 0[/tex]
[tex] = > 4 {k}^{2} - 400 = 0[/tex]
[tex] = > 4( {k}^{2} - 100) = 0[/tex]
[tex] = > {k}^{2} - 100 = 0[/tex]
[tex] = > k = \sqrt{100} = + 10 \: or \: - 10[/tex]
Step-by-step explanation:
Given Equation
5x-2kx+20=0
If it has real and equal roots then[tex]\boxed{\sf \longrightarrow D=0 }[/tex]
Substitute the values[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow b^2-4ac=0 [/tex]
[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow (-2k)^2-4\times 5\times 20=0 [/tex]
[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow 4k^2-20\times 20=0 [/tex]
[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow 4k^2-400=0[/tex]
[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow 4k^2=400 [/tex]
[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow k^2=\dfrac {400}{4}[/tex]
[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow k^2=100 [/tex]
[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow k=\sqrt{100}[/tex]
[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow k=10 [/tex]
[tex]\therefore\sf k=10 [/tex]
Answer these questions please :)
1. 7.2 x 100 =
2. 468.8 ÷ 100 =
3. 0.12 x 1,000 =
4. 86.4 ÷ 100 =
5. 2.001 x 10 =
6. 1,200 ÷ 1,000 =
7. 3.41 x 100 =
8. 3.41 ÷ 10 =
9. 0.0031 x 100 =
10. 5.7 ÷ 100 =
11. 1.34 x 1,000 =
12. 10 x 0.57 =
13. 57 ÷ 100 =
14. 1.068 x 100 =
15. 168.1 ÷ 10 =
16. 0.0341 x 100 =
1. 7.2 x 100 = 720
2. 468.8 ÷ 100 = 4.688
3. 0.12 x 1,000 = 120
4. 86.4 ÷ 100 = 0.864
5. 2.001 x 10 = 20.01
6. 1,200 ÷ 1,000 = 1.2
7. 3.41 x 100 = 341
8. 3.41 ÷ 10 = 0.341
9. 0.0031 x 100 = 0.31
10. 5.7 ÷ 100 = 0.057
11. 1.34 x 1,000 = 1340
12. 10 x 0.57 = 5.7
13. 57 ÷ 100 = 0.57
14. 1.068 x 100 = 106.8
15. 168.1 ÷ 10 = 16.81
16. 0.0341 x 100 = 3.41
how to solve using Substitution or Elimination??? Help!!!
y=3x-1
y=2x+2
Answer:
x=3
y=8
Step-by-step explanation:
the given equations are y=3x-1 --------(1)
and y=2x+2---------(2)
Using substitution method,
and solving y=3x-1
y+1=3x
or y+1/3 =x ------(3)
Putting the value of x= y + 1 / 3 in equation 2
y= 2x+2
or, y = 2 ( y + 1/3) +2
or, y= 2y + 2 / 3 +2
or, y = 2y + 2 + 6 // 3 ( Taking LCM)
Or, 3 y = 2y + 2 + 6 ( the denominator gets multiplied to y)
OR, 3 Y - 2Y =6 PLUS 2
or y = 8
therefore, y=8
now substituting the value of y=8 in equation (3)
y + 1 /3 = x
or ,,, 8 plus 1 by 3 =x
or,,,,, 9 by 3 =x
Therefore, x is 3
Pleassse HELP WILL GIVE BRAINLIEST
Darrell bought an 80 pound bag of dog food. If ⅝ of a pound are used to
feed the dog each day, how many days will the bag of dog food last?
Answer:
The 80 p0und bag will last 128 days.
Step-by-step explanation:
In order to find out how much days the 80 pound bag last we have to divide the 80 pounds by the among that the dog eats each day. And so we get.....
80 / [tex]\frac{5}{8}[/tex] = [tex]\frac{80}{1} / \frac{5}{8}[/tex] = [tex](\frac{80}{1})(\frac{8}{5})[/tex] = [tex]\frac{640}{5}[/tex] = 128
Answer:
For some reason my answer got deleted.
The dog food will last 128 days,
Step-by-step explanation:
80 ÷ 5/8 = 128
Since 5/8 is being used each day, you divide.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Match the following rational expressions to their rewritten forms.
Rational Expressions:
x^2+x+4/x-2
x^2-x+4/x-2
x^2-4x+10/x-2
x^2-5x+16/x-2
Rewritten Forms:
(x-2)+6/x-2
(x+3)+10/x-2
(x+1)+6/x-2
(x-3)+10/x-2
Answer:
Answer image is attached.
Step-by-step explanation:
Given rational expressions:
[tex]1.\ \dfrac{x^2+x+4}{x-2}\\2.\ \dfrac{x^2-x+4}{x-2}\\3.\ \dfrac{x^2-4x+10}{x-2}\\4.\ \dfrac{x^2-5x+16}{x-2}[/tex]
And the rewritten forms:
[tex](x-2)+\dfrac{6}{x-2}\\(x+3)+\dfrac{10}{x-2}\\(x+1)+\dfrac{6}{x-2}\\(x-3)+\dfrac{10}{x-2}[/tex]
We have to match the rewritten terms with the given expressions.
Let us consider the rewritten terms and let us solve them one by one by taking LCM.
[tex](x-2)+\dfrac{6}{x-2}\\\Rightarrow \dfrac{(x-2)^{2}+6 }{x-2}\\\Rightarrow \dfrac{x^2-4x+4+6 }{x-2}\\\Rightarrow \dfrac{x^2-4x+10}{x-2}[/tex]
So, correct option is 3.
[tex](x+3)+\dfrac{10}{x-2}\\\Rightarrow \dfrac{(x+3)(x-2)+10}{x-2}\\\Rightarrow \dfrac{(x^2+3x-2x-6)+10}{x-2}\\\Rightarrow \dfrac{x^2+x+4}{x-2}[/tex]
So, correct option is 1.
[tex](x+1)+\dfrac{6}{x-2}\\\Rightarrow \dfrac{(x+1)(x-2)+6}{x-2}\\\Rightarrow \dfrac{x^{2} +x-2x-2+6}{x-2}\\\Rightarrow \dfrac{x^{2} -x+4}{x-2}[/tex]
So, correct option is 2.
[tex](x-3)+\dfrac{10}{x-2}\\\Rightarrow \dfrac{(x-3)(x-2)+10}{x-2}\\\Rightarrow \dfrac{x^2-3x-2x+6+10}{x-2}\\\Rightarrow \dfrac{x^2-5x+16}{x-2}[/tex]
So, correct option is 4.
The answer is also attached in the answer area.
What is the distance between points A and B
Answer:
1/3
Step-by-step explanation:
To make it shorter.
Which transformation will create an image of the regular Hexagon ABCDEF that coincides with itself?
Answer:
reflection of ae
Step-by-step explanation:
b=a
e-d and it just flips
Store A sells 5 bagels for $2.05. Store B sells 3 bagels for $1.35. How do the unit rates compare?
A. The bagels at Store A are $0.04 more expensive than the bagels at Store B.
B. The bagels at Store A are $0.03 more expensive than the bagels at Store B.
C. The bagels at Store B are $0.04 more expensive than the bagels at Store A.
D. The bagels at Store B are $0.03 more expensive than the bagels at Store A.
3 / 24
Answer:
C. The bagels at Store B are $0.04 more expensive than the bagels at Store A.
Step-by-step explanation:
Find the unit rates of both stores by dividing the price by the number of bagels:
Store A:
2.05/5
= 0.41
Store B:
1.35/3
= 0.45
Store B's bagels are $0.04 more than Store A's, so C is the correct answer.
Rob is saving to buy a new iPad. For every $15 he earns babysitting, he saves $6. On Saturday, Rob earned $75 babysitting. How much money did he save?
can someone with course hero help me plzzz!!
A recipe makes 623 cups. The serving size is 56 cup. How many servings does the recipe make? (Divide)
Answer:
11 servings
Step-by-step explanation:
A recipe is 623 cups
1 serving is 56 cups
Now if 1 serving is 56 cups
x serving is 623 cups
x = 623/56
x= 11 servings
Boris had 91.5 g of pepper then he use 0.4 g of the pepper to make each plate of scrambled eggs how much pepper does Boris have left if he made 16 plates of scrambled eggs
Answer:
85.1 g
Step-by-step explanation:
Boris has 91.5 g of pepper
He used 0.4g to make one plate of scrambled egg
If she made 16 plates of scrambled egg then the amount of pepper that will be left can be calculated as follows
= 0.4×16
= 6.4g
= 91.5g - 6.4g
= 85.1g
Hence Boris will have 85.1g of pepper left
Brad places a marker on the ground 10 ft. away from the base of a tree at a botanical garden. He walks back towards the tree until he is standing 4 ft. away from the marker, and he is 6 ft. tall. Assuming that the top of Brad's head, the top of the tree, and the marker form two simliar triangles, how tall is the tree
Answer:
15ft
Step-by-step explanation:
Calculation for how tall is the tree
First step Let the proportion be x/10ft = 6ft /4ft
Second step is to cross-multiply by 4x
4x =10ft*6ft
4x = 60
Third step is to divide both sides by 4
4x = 60
4x/4=60/4
x=15 ft
Therefore the tree will be 15ft tall
Janna and Travon are creating posters for the school play. Together they will have f(t) posters after creating posters for t hours.
f(t) = 5t + 3
The function f represents the fact that every hour —
Janna and Travon can make 5 posters together, and 3 posters were already made.
Janna can make 5 posters, and Travon can make 3 posters.
Travon can make 4 posters, and Janna can make 1 poster.
Janna and Travon can make 5 posters apiece, and 3 posters were already made.
Answer:
I think is D
Step-by-step explanation:
Help meee due tomorrow What is the decimal equivalent to 19/25
A.0.19
B.0.76
C.0.25
D.0.63
class Math
Answer:
The correct is the little (B) 0.76
BRAINLIEST WILL I GIVE HURRY
Answer:
{10,8}
Step-by-step explanation:
-3x + 4y = -62
4x + 5y = 0
let's eliminate the x
-3x + 4y = -62 | x -4 |
4x + 5y = 0 | x 3 |
12x - 16y = 248
12x + 15y = 0
-------------------- -
-31y = 248
y = 248/(-31) = 8
since you must do this proble with elimination, we cant use subtitution. so we repeat the way once more to find x (eliminate y)
-3x + 4y = -62 | x 5 |
4x + 5y = 0 | x 4 |
-15x + 20y = -310
16x + 20y = 0
-------------------- -
-31x = -310
x = -310/-31 = 10
I need help please
I need help with this question I’ve been stuck on please help me
Answer:
ok so the answer is b
Step-by-step explanation: because if you divide the numbers and you get the answer you will have to add and there is your answer and please give me a 5 star.
HELPP ‼️‼️‼️ THIS IS DUE LIKE IN A MIN
Answer:
1, -2
Step-by-step explanation:
The x axis is 1 to the right, and the y axis is 2 down.
PLEASE HELP FASTTT!!!
Answer:
5 seconds
Step-by-step explanation:
Looking at your function (h(t) = -16t^2 + 48t + 160), I see that the peak height will be 196 feet, and that is achieved in 1.5 seconds.
h(1.5) = -16(1.5)^2 + 48(1.5) + 160
h(1.5) = -16(2.25)+ 48(1.5) + 160
h(1.5) = -36 + 48(1.5) + 160
h(1.5) = -36 + 72 + 160
h(1.5) = 36 + 160
h(1.5) = 196
Going down from that height, it would take 3.5 more seconds, so it would take 5 seconds in total
h(5) = -16(5)^2 + 48(5) + 160
h(5) = -16(25) + 48(5) + 160
h(5) = -400 + 48(5) + 160
h(5) = -400 + 240 + 160
h(5) = -400 + 400
h(5) = 0
What is 7 x 1/8?
I need to know for a Khan Academy problem.
Happy New Year.
7 / 8 i think correct me if im wrong!
Answer:
7/8
Step-by-step explanation:
PLEASE GIVE BRAINLIEST
It is because 7 times 1 is 7 and when multiplying a regular number by a fraction the denominator does not change.
Use the given information to prove that PQR = TSR.
Answer:
3. Given: R is the midpoint of both PT and QS and TSR. ∆ are right triangles. Prove: PQR. ∆. ~ TSR. ∆. 5. Given: AB = CB = 9 cm.
Step-by-step explanation:
Δ PQR ≅ Δ TSR by AAS congruency rule.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are congruent to each other.
The given information are QR = SR and ∠ QPR = ∠ STR
The proof is as follows :-
Statement Reasons
QR = RS Given
∠ QPR = ∠ STR Given
∠ PRQ = ∠ TRS Vertically opposite angles
Δ PQR ≅ Δ TSR AAS congruency rule
AAS congruency rule :-
Two triangles are said to be congruent if two angles and the included side of one triangle are equal to two angles and the included side of another triangle.
Hence, the triangles are congruent by AAS congruency rule.
For more references on congruency, click;
https://brainly.com/question/30105362
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HELP RIGHT AWAY IF YOU SEE
Answer:
I would say A
Step-by-step explanation:
at least how many hours of sleep do students ages seven to twelve need per night
A seven
b eight
C nine
d ten
Answer:
10 hours
Step-by-step explanation:
ok
Rewrite each algebraic expression in an equivalent form with the fewest
number of terms possible.
a. 6(x + 7)(x + 2)
b. (2y – 5)
c. (5x + 4y)(2x - y)
d. (3x + 7)(3x – 7)
e. (t + 2) – (4t +9) – t
Answer:
Step-by-step explanation:
The terms will be multiplied in order to get the simplified polynomials.
a. 6(x + 7)(x + 2)
[tex]6(x + 7)(x + 2)\\=6[x(x+2)+7(x+2)]\\=6(x^2+2x+7x+14)\\=6(x^2+9x+14)\\=6x^2+54x+84[/tex]
The simplified form of 6(x + 7)(x + 2) is [tex]6x^2+54x+84[/tex]
b. (2y – 5)^2
Using the formula: [tex](a-b)^2 = a^2+b^2-2ab[/tex]
[tex]=(2y)^2+(5)^2-2(2y)(5)\\=4y^2+25-20y[/tex]
The simplified form is: [tex]4y^2-20y+25[/tex]
c. (5x + 4y)(2x - y)
[tex]=5x(2x-y)+4y(2x-y)\\=10x^2-5xy+8xy-4y^2\\=10x^2+3xy-4y^2[/tex]
The simplified form of (5x + 4y)(2x - y) is [tex]10x^2+3xy-4y^2[/tex]
d. (3x + 7)(3x – 7)
Using the formula: [tex](a+b)(a-b) = a^2-b^2[/tex]
[tex]= (3x)^2-(7)^2\\= 9x^2-49[/tex]
The simplified form of (3x + 7)(3x – 7) is [tex]9x^2-49[/tex]
e. (t + 2) – (4t +9) – t
[tex]=t+2-4t-9-t\\=t-4t-t+2-9\\= -4t-7[/tex]
The simplified form of (t + 2) – (4t +9) – t is [tex]-4t-7[/tex]
Hence,
a. The simplified form of 6(x + 7)(x + 2) is [tex]6x^2+54x+84[/tex]
b. The simplified form is: [tex]4y^2-20y+25[/tex]
c. The simplified form of (5x + 4y)(2x - y) is [tex]10x^2+3xy-4y^2[/tex]
d. The simplified form of (3x + 7)(3x – 7) is [tex]9x^2-49[/tex]
e. The simplified form of (t + 2) – (4t +9) – t is [tex]-4t-7[/tex]
priya can bike 300 meters in 20 seconds. How many meters can she bike in 10 seconds?