Answer:
The x intercept is (-15/4 ,0)
Step-by-step explanation:
To find the x intercept, set y = 0 and solve for x
y = 4x+15
0 = 4x+15
subtract 15 from each side
-15 = 4x+15-15
-15 = 4x
Divide by 4
-15/4 = 4x/4
-15/4 = x
The x intercept is (-15/4 ,0)
Translate and solve: 51 more than y is greater than −204. Write your solution in interval notation.
Answer:
y > -255, or (-255, infinity)
Step-by-step explanation:
y + 51 > - 204
Solve for y: subtract 51 from both sides, obtaining:
y > -255, or (-255, infinity)
The solution of the inequality is y > -255.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
Given that translate and solve: 51 more than y is greater than −204. The inequality expression can be written as:-
y + 51 > - 204
Solve for y: subtract 51 from both sides, and solve the inequality:-
y > -255,
Hence, the solution to the inequality is y > -255.
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Jayden's family took a road trip to the Grand Canyon. Jayden fell asleep 15% of the way through the trip. If the total length of the trip was 1000 miles, how many miles had they travelled when Jayden fell asleep?
Answer:
150 miles
Step-by-step explanation:
15÷100×1000=150
A bookstore contains 75972 books,divided in to three sections. The science represents 1/3 of the total books. The remaining books75%are business. How many books are in the math section?
Answer:
12,662 books
Step-by-step explanation:
Total number of books = 75,972
No. of science books = ⅓ of 75,972 = ⅓*75,972 = 25,324 books.
No. of business books = 75% of the remaining books = 75% of (75,972 - 25,324)
= [tex] \frac{75}{100}*50,648 = 37,986 [/tex]
No. of business books = 37,986
No. of maths books in the math section = 75,972 - (25,324 + 37,986)
= 75,972 - 63,310
= 12,662 books
The temperature in Anchorage, Alaska at 6 a.m. was 2°C. If the temperature drops 2 degrees each hour, what is the temperature in degrees Celsius at 2:00 pm
Answer:
-14°C
Step-by-step explanation:
6 + 8 = 14
So in 24 hour time that would be 2pm
From 6am to 2pm is 8 hours
If the degrees is going down by 2 you would times the 8 by 2 because it is doubled
That = 16
Then you'll minus 16°C from the 2°C
2°C - 16°C
= -14°C
Solve for 3/(5w) - 2/(7w) = 1 If there is more than one solution , separate them with commas . If there is no solution , click on "No solution ".
Answer:
[tex] w = \frac{11}{35} [/tex]
Step-by-step explanation:
To solve, [tex] \frac{3}{5w} - \frac{2}{7w} = 1 [/tex], make both fractions on your left as one fraction by finding a common denominator.
Common denominator of 5w and 7w is 35w
Thus,
[tex] \frac{7(3) -5(2)}{35w} = 1 [/tex]
[tex] \frac{21 - 10}{35w} = 1 [/tex]
[tex] \frac{11}{35w} = 1 [/tex]
Multiply both sides by 35w
[tex] \frac{11}{35w}*35w = 1*35w [/tex]
[tex] 11 = 35w [/tex]
Divide both sides by 35
[tex] \frac{11}{35} = \frac{35w}{35} [/tex]
[tex] \frac{11}{35} = w [/tex]
[tex] w = \frac{11}{35} [/tex]
suppose y varies jointly as x and z. Find y when x=5 and z=6, if y=144 when x=6 and z=10
Answer:
y=72
Step-by-step explanation:
y varies jointly as x and z
y=k*x*z
Where,
k= constant of proportionality
y=144, x=6, z=10
y=k*x*z
144=k*6*10
144=60k
Divide both sides by 60
144/60=k
2 24/60=k
2 6/15=k
2 2/5=k
k=12/5
Find y when x=5 and z=6
y=k*x*z
y=12/5*5*6
=360/5
=72
y=72
URGENT PLEASE HELP 50 POINTS AND WILL NAME BRAINLIEST An ice cream store has the pricing shown below. You want to determine the best value. The height of the cone is 4.5 in and the diameter is 2 in. The diameter of each scoop is 3 in. Assume the cone is stuffed full with ice cream. single is $3.50, double is $4.50, and triple is $5.50 Create a table showing the total cost of each size, the total volume of ice cream for each size, and the unit cost (per unit volume) of each size. Include units with your table entries. you dont have to create the table, but i really need the values!
MAKE W THE SUBJECT OF S=W/A
Answer:
w=sa
Step-by-step explanation:
move the a into multiplication on the other side so
w=sa
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
Answer:
W = SA
Step-by-step explanation:
S = W/A
Multiply both sides by 'A'
S* A = [tex]\frac{W}{A }*A[/tex]
SA = W
W = SA
What is the product? One-half times one-fifteenth
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
one-half=[tex]\frac{1}{2}[/tex]
one-fifteenth=[tex]\frac{1}{15}[/tex]
[tex]\frac{1}{2}*\frac{1}{15} = \frac{1}{30}[/tex]
To multiply fractions, you multiply the numerator (top number) by the numerator (top number and the denominator (bottom number) by the denominator (bottom number).
Numerator: 1×1=1
Denominator: 2×15=30
So the product of one-half times one-fifteenth is one over thirty.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
The product of one-half times one-fifteenth is equal to 1/30.
What is the product of one-half times one-fifteenth?A fraction is a number that represents a part of a whole. Fractions are written as two numbers separated by a fraction bar.
The number on top of the fraction bar is called the numerator, and the number on the bottom of the fraction bar is called the denominator.
We have:
One-half, which is equal to 1/2.
One-fifteenth, which is equal to 1/15.
In mathematics, product means multiplication
Multiplying two fractions is the same as multiplying the numerators and the denominators.
Thus, the product of one-half times one-fifteenth is:
1/2 * 1/15 = (1*1)/(2*15)
= 1/30
The product of one-half times one-fifteenth is 1/30.
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Select the correct answer.
What is the product of (x - 3) and (x + 7)?
[tex] {x}^{2} + 10x - 21[/tex]
[tex] {x}^{2} + 4x - 21[/tex]
[tex] {x}^{2} - 4x - 21[/tex]
[tex] {x}^{2} - 10x - 21[/tex]
Expanding parentheses,
➝ (x - 3)(x + 7)
➝ x(x + 7) - 3(x + 7)
➝ x² + 7x - 3x - 21
➝ x² + 4x - 21
Option B
Explore more:-Expanding brackets involves removing the brackets by multiplying each term in the brackets by every term outside of the brackets. The process of expansion is also known as the distributive law. When expanding brackets be very careful of negative numbers.
Once a set of brackets has been expanded, it is possible for several like terms to appear.
When this is the case you can use the box method or FOIL to ensure you expand the set of brackets properly. In general:
[tex] \large{ \boxed{ \rm{(a + b)(c + d) = ac + ad + bc + bd}}}[/tex]
━━━━━━━━━━━━━━━━━━━━
x divided by the product of 5 and y
Answer:
X÷5y
Step-by-step explanation:
5 x y is 5y and then we divide
The expression for the given phrase is 5y/x.
Given that, x divided by the product of 5 and y.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Here,
The product of 5 and y =5×y
= 5y
x divided by the product of 5 and y
= 5y/x
Therefore, the expression for the given phrase is 5y/x.
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If 13 and 5 are the factors, what are the product?
Answer:
65
Step-by-step explanation:
You multiply the factors by each other.
Answer:
65
Step-by-step explanation:
13 x 5 = 65
Lana had 8 4/6 cups of flour. If she used 6 1/6 cups of flour, how much flour
did she have left?
Answer:
2 3/6 or 2 1/2
Step-by-step explanation:
8 4/6 - 6 1/6 = 2 3/6
Solve the quadratic for x, then enter the numerical value of your solution. (If there are two solutions, either one will work.) 2(x-5)^2+7=79
Answer: X= -1 OR X= 11
Step-by-step explanation:
Step 1 : Equate ( x-5)² since it occurred twice, hence the reason 2 is added in front of (x-5)²
= (x-5)²
= (x-5)(x-5)
= (x²-5x-5x+25)
= (x²-10x+25)
Step 2: multiply the result by two since it occurs twice and also bring the equation
= 2 (x²-10x+25) +7 = 79
= 2x²- 20x+50+7 = 79
= 2x²- 20x+57 =79
Step 3: most quadratic equation are always equal to zero, let's make this one equal to Zero by subtracting 79 from both sides
= 2x²-20x+57-79 = 79-79
= 2x²-20x-22=0
Step 4: divide the equation by a common number to get the least coefficient of the three coefficients
Dividing the three by 2
(2x²-20x-22)/2 = x²- 10x- 11
Step 5: Factorise completely
Sub step 1 : the first term in the equation is X² which makes the first term coefficient 1; the second term in the equation is -10x which makes the second term coefficient -10, the constant has a coefficient of -11
Sub step 2: multiply the coefficient of the first term (1) and the constant (-11) which gives us (-11)
1*-11 = -11
Sub step 3: Get two numbers in such a way that the addition of the first number and the second number gives the second coefficient in the quadratic equation and the multiplication of the two numbers will give us the product of the first coefficient and the constant.
And the two numbers is +1 and -11, the sum of the two numbers will give us -10 and the product will give us -11.
Step 6: slot the two numbers (+1, -11) into the equation by making themr replace the second coefficient
x²-10x-11=0
= x²+x-11x-11 =0
Step 7: split the equation into two and Factorise further
= (x²+x)(-11x-11) =0
= x(x+1)-11(x+1) = 0
= x+1= 0 or x-11 =0
Step 8 split them into individual equation
= x+1= 0.
Subtract 1 from both sides
= X+1-1=0-1
= x= -1
Or X should be
= x-11=0
Add 11 to both sides
= X-11+11 = 0+11
= x= 11
A pair of shoes has an original price of $60. What is the sales price after a 15% discount? *Plz explain your answer*
The original price is 100%, a 15% discount means the shoes are now ( 100-15 = 85) 85% of the original price,.
Multiply the original price by 85%
60 x 0.85 = 51
The price is $51
Answer:
$51
Step-by-step explanation:
15% discount means that the new price is 85% of the original one. Therefore we just need to multiply 60 by 0.85 to find 85% of the number.
60x0.85=$51
The new price would be $51.
Similarly you could also have divided 60 by 100 to find one percent of it (60/100=0.6) and then multiplied it by 85 to find 85%. (0.6x85=51)
Hope this helped!
Find each percent change.
State if it is an increase or decrease.
9) From 16.6 to 13 i really need thisssss preferably have a good explanation so i can do it myself next time
Answer:
21.69% decrease.
Step-by-step explanation:
We want to determine the percent change from 16.6 to 13.
First, since 13 is smaller than 16.6, we know that this is decrease.
Percent change is given by the formula:
[tex]\displaystyle PC=\frac{ \text{New - Old}}{\text{Old} } \cdot100\%[/tex]
The new value is 13 and the old value is 16.6. Substitute:
[tex]\displaystyle PC=\frac{(13)-(16.6)}{16.6} \cdot100\%[/tex]
Evaluate:
[tex]\displaystyle PS = -\frac{3.6}{16.6} \cdot 100 \%[/tex]
Use a calculator:
[tex]\displaystyle PS\approx-0.2169\cdot100\% \\ \\ PS\approx21.69\%[/tex]
We ignore the negative because the negative simply tells us that it's decreasing. (Likewise, if the answer's positive, it's an increase.)
In conclusion, the percent change is an approximate 21.69% decrease.
pls answer the question with the pic below
Answer: Complementary
x=58
Step-by-step explanation:
Josh wanted to buy a new shirt for a school dance. At the store, he couldn't decide between a purple plaid shirt and a scarlet striped shirt. Since the shirts were on sale for $19.95 each, Josh decided to buy them both. He saved a total of $9.10. If he saved the same amount on each shirt, what was the original price of each one?
Answer:
$24.50
Step-by-step explanation:
Money saved for each shirt:
=$9. 10/2
=$4.55
Original price of the shirt:
=$19. 95 + $4.55
=$24.50
Bruce ate 18 chips and 23 pretzels.About how many snacks did he eat in All?
Round to the NEAREST TEN
Answer:
The answer is 51
Step-by-step explanation:
Because 18 + 23 = 51
Xanthe has 2/3
kg of beads. She shares the beads evenly between 9 friends.
How many kilograms does each friend receive?
Answer:
0.074 or 37/500
Step-by-step explanation:
also 7.4%
Which of the following functions describes the sequence 4, –2, 1, –12, 14, . . .?
Answer:
-2
Step-by-step explanation:
-12 -14
will mark as brainliest:)
The function for the cost of materials to make a hat is f(x) = 1/2x + 1, where x is the number of hats. The function for the selling price of those hats is g(fx)), where g(x) = x + 2. Find the selling price of 10
hats.
Answer:
8 dollars
Step-by-step explanation:
f(10)=6
g(6)=8
8 dollars
please help me on this
Answer:
AX = 14
Step-by-step explanation:
The medians of a triangle intersect at its centroid.
The position of the centroid X from the vertex A is
AX = [tex]\frac{2}{3}[/tex] AL = [tex]\frac{2}{3}[/tex] × 21 = 14
A recipe uses 5 cups of milk to make 10 servings. If the same amount of milk is used for each serving, how many servings can be made from three gallons?
Answer: Three gallons will be enough to make 128 servings.
Step-by-step explanation: In Three gallons there are 64 cups. if 5 cups makes 10 servings, that is 1/2 cup per serving. So 64 cups will make 128 servings.
From a window 20m above the ground, a person could see the top of the house across the street at an angle of elevation of 5 degrees. The angle of depression to the base of the house was 15 degrees. What is the height of the house?
if u can draw an illustration, thanks
The height of house is 26.53 m
What is angle of elevation?The angle of elevation and angle of depression are opposites of each other. In an angle of elevation, the object is placed above the observer, while in the case of the angle of depression, it is placed below the observer.
If you are standing at your terrace and looking at the sun, then the angle of elevation will be formed. On the other hand, if you will look at the dog standing on the road from your terrace, then the angle of depression will be formed. In both cases, we use trigonometry angles to find the heights and distances.
Given:
Window height = 20 m
angle of elevation =5
angle of depression= 15
Using trigonometry
tan 15 = P/B
0.2679= 20/B
B= 74.654 m
Again
tan 5 =P/B
0.0874 = P/ 74.645
P= 6.5305 m
Hence, height of the tree is 6.53 + 20= 26.53 m
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Translate the following phrase into an algebraic expression using the variable x. Do not simplify,
the cost of x textbooks if one textbook costs $127
Answer:
127x
Step-by-step explanation:
The expression 127x will represent this situation.
Since x represents the number of textbooks, we can put the coefficient 127 in front of it to include the cost.
For example, 2 textbooks will be $254 if we plug in 2 as x into the expression, since 127(2) = 254.
5 more than one-eighth of a number equals 13. What is the number?
Answer:
64
Step-by-step explanation:
let the number be x, then
[tex]\frac{1}{8}[/tex] x + 5 = 13 ( subtract 5 from both sides )
[tex]\frac{1}{8}[/tex] x = 8 ( multiply both sides by 8 )
x = 64
The number is 64
Answer:
The number is 64
Step-by-step explanation:
Let x be the number
1/8 x +5 = 13
Subtract 5 from each side
1/8x +5-5 = 13-5
1/8 x = 8
Multiply each side by 8
8*1/8x = 8*8
x = 64
On a number line, suppose point E has a coordinate of 2, and EG= 12. what are the possible coordinates of point G
Answer:
Step-by-step explanation:
the length of EG is 6 so G is 6 units away from E. If E is at 3, then G is at 3+6 = 9
X is 12 units away from E so X is at 3 + 12 = 15
This assumes you are not using negative numbers.
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Number line are used to represent numbers on a line at regular intervals. The possible coordinates of G is either 10 or -14.
Given that:
[tex]G = 2[/tex]
[tex]EG = 12[/tex]
The equation that calculates EG is:
[tex]EG = |E - G|[/tex]
So, we have:
[tex]12 = |2 - G|[/tex]
Remove absolute brackets
[tex]2 - G = \± 12[/tex]
Add 2 to both sides
[tex]-G =2 \± 12[/tex]
Rewrite as:
[tex]G =-2 \± 12[/tex]
Split
[tex]G =- 2 - 12[/tex] or [tex]G = -2 + 12[/tex]
[tex]G = -14[/tex] or [tex]G = 10[/tex]
The possible coordinates of G are: 10 or -14.
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A set of points graphed on a number line represents natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. What is the fewest number of distinct points that must be graphed? Complete the explanation. |
Answer:
2,irrational,2,irrational :)
Step-by-step explanation:
Answer: I think its a tell me if im wrong
Step-by-step explanation:
Someone please help me!!!!
Answer: see proof below
Step-by-step explanation:
Use the Pythagorean Identity: cos²Ф + sin²Ф = 1
Use the Difference Identity: cos(A - B) = cosA · cosB + sinA · sinB
Use the Double Angle Identity: cos 2Ф = 1 - 2sin²Ф
Proof LHS → RHS
LHS: (cosA - cosB)² + (sinA - sinB)²
Expand: cos²A - 2cosA · cosB + cos²B + sin²A - 2sinA · sinB + sin²B
Pythagorean Identity: 2 - 2cosA · cosB - 2sinA · sinB
Factor: 2(1 - (cosA · cosB + sinA · sinB))
Difference Identity: 2(1 - (cos(A - B))
Let Ф = (A-B)/2: 2(1 - cos2Ф)
Double Angle Identity: 2(1 - (1 - 2sin²Ф))
Simplify: 2(1 - 1 + 2sin²Ф)
= 4sin²Ф
Substitute (A-B)/2=Ф: 4sin²(A-B)/2
LHS = RHS: 4sin²(A-B)/2 = 4sin²(A-B)/2 [tex]\checkmark[/tex]