Answer:
-1 option D (no solution)
Step-by-step explanation:
2(x + 7)2/3 = 8
2(X+7)2/3=8
4(X+7)=24
4x+28=24
4x=24-28
4x=-4
X=-4/4
X=-1
So the answer is -1
True or false is a relation in which each y value has only 1 x value
Answer:
The statement is true that a function is a relation in which each y value has ONLY 1 x value.
Step-by-step explanation:
The statement is true that a function is a relation in which each y value has ONLY 1 x value.
The reason is very clear that we can not have the repeated x-values (two same x-values).
For example, given the set of the ordered pairs of a relation
{(3, a), (6, b), (6, c)}
As the same x values (x=6) has two different Y values. Hence, the stated relation is not a function.
In order to be a function, a relation must have only 1 x-value for each y-value.
Therefore, the statement is true that a function is a relation in which each y value has ONLY 1 x value.
please help me........please:)
Step-by-step explanation:
2/3 x 2/2 = 4/6
2/3 x 3/3 = 6/9
2/3 x 4/4 = 8/12
4 Abi is going to buy ingredients to make 65 hot chocolate drinks.
She needs 12 g of chocolate powder and 5 marshmallows to make each drink
Abi can buy
chocolate powder in 250 g jars at £2.99 per jar
marshmallows in bags of 120 marshmallows at £1.45 per bag
Work out the total cost of the chocolate powder and the marshmallows she needs to buy.
Answer:
To make 65 chocolate drinks, she needs:
12 g of chocolate powder and 5 marshmallows per drink.
Then she needs:
12g*65 = 780 grams of chocolate powder.
We know that the chocolate powder comes in jars of 250g, such that each one costs £2.99
If she buys 3 jars, she will have: 3*250g = 750g
So she will not have enough, then she needs to buy 4 jars.
Then in chocolate powder, she will pay 4 times £2.99 = £11.96
And for marshmallows, she needs:
65*5 = 325 in total.
Marshmallows come in bags of 120, then the number of packs that Abi needs to buy is:
325/120 = 2.7
That should be rounded up (because she can not buy a 0.7 of a bag)
Then she needs 3 bags, and each bag costs £1.45
Then the total cost in marshmallows is 3*£1.45 = £4.35
18. George invests $5000 for 14 years at a rate of 2% per year compound interest. Calculate the interest he
receives. Give your answer correct to the nearest dollar.
Answer:
He will receive $1, 400 for interest
&
A total amount of $6, 400
Step-by-step explanation:
To find the interest, we must apply the following formula:
I = P × R × T
I represents interest
R represents rate
T represents time
P represents principle
Steps:
1. Change the rate, which is 2%, into a decimal.
2. Multiply the principle, which is 5,000, by the rate, which is 0.02.
3. Multiply the product of the principle and rate, which is 100, by the time, which is 14 years.
So he will receive $1, 400 interest.
To find the total amount he recieved, we must:
Add the principle, which is 5,000, and the current interest, which is 1, 400.
5,000 + 1,400= 6,400
He will receive a total of $6, 400
I hope this helps! I'm sorry if it's wrong.
Every 2.5 hours, a machine produces 150 baskets.
What is the unit rate of this proportional relationship? (Hint: You are trying to find how many baskets in one hour.)
60 baskets per hour
60 baskets per hour
2.5 baskets per hour
2.5 baskets per hour
25 baskets per hour
25 baskets per hour
16.6 baskets per hour
Answer:
60
Step-by-step explanation:
We use unit rate function,
Let h be hours
Let b be baskets
2.5h = 150b
We divide both sides by 2.5
2.5h/2.5 = 150b/2.5
Which will give us
h = 60
Helpppp!! Are the triangles below congruent by Side-Side-Side, Side-Angle-Side, or neither?
A new Youth Sports Center is being built in Pagosa Springs. The perimeter of the rectangular playing field is 236 yards. The length of the field is 2 yards less than
double the width. What are the dimensions of the playing field?
The width is yards
The length is yards.
Answer:
Width = 40 yards ; length = 78 yards
Step-by-step explanation:
Recall :
Perimeter of rectangle : 2 (length + Width)
Given that :
Perimeter = 236 yards
Let length = l ; width = w
Length = (2w) - 2
Hence ;
236 = 2[(2w - 2) + w]
236 = 2(2w - 2 + w)
236 = 2(3w - 2)
236 = 6w - 4
236 + 4 = 6w
240 = 6w
w = 240/6
w = 40 yards
Length = 2(40) - 2 = 80 - 2 = 78 yards
Zach needs a new pair of running shoes.The pair that he wants regularly sells for $129.If they are on sale for 24% off,how much will he pay in total if sales tax is 6.4%?
Answer:
$104.31
Step-by-step explanation:
First let's calculate the sale price of the shoes. If they are 24% off, that means they will be worth 76% of the initial price. So, we can multiply 76% by 129 to find the sale price:
129 * 0.76 = 98.04
The sale price is $98.04. To find the value of the sales tax, multiply the sale price by the percentage of the sales tax:
98.04 * 0.064 = 6.27456
The sales tax rounds to 6.27. Finally, to find the total price, add the value of the sales tax to the sale price:
98.04 + 6.27 = 104.31
The total price Zach will pay is $104.31.
Hope this helps :)
Which of the following finds T given I, P and R
Answer:
D. T= I/PR
Step-by-step explanation:
PRT are multiplyed so you divide PR to get T by itself.
Liberty bought a make-your-own salad when she went out to lunch at a restaurant. The salad cost $4, plus $0.85 for each salad topping. Liberty spent $9.95 on the salad. Which equation can be used to find t, the number of toppings that Liberty ordered on her salad
I believe you answer would be $4 + $0.85t =$9.95
Answer:
7
Step-by-step explanation:
c = $0.85t+$4
$9.95 = $0.85t+$4
$9.95-$4 = $0.85t
$5.95 = $0.85t
$5.95/$0.85 = t
7 = t
Mark and his 3 friends are out at Applebee's. Their bill totaled $52.35. If they left the server a 20% tip, how much would each person pay splitting the bill evenly
2x+7y=4 −2x−8y =−2
Answer:
-y = 2.
Step-by-step explanation:
2x + 7y= 4
- 2x – 8y = -2
Adding we eliminate x because 2x + -2x = 0:-
0 - y = 4 + -2
-y = 2.
The science department orders a new telescope and pays $253.87 after taxes.The tax rate is 6%. What was the original price of the telescope?
A group of friends receives a dinner bill for $87.50. The sales tax rate is 5%. They want to leave a 15% tip on the total bill after tax. How much money will they pay for their dinner with tax and tip?
Answer:
105 total
Step-by-step explanation:
Answer:
$105.66 is your answer.
Please help me! Im making the first correct answer brainliest!
Answer:
The answer is most likely c.)
Step-by-step explanation:
It says that they sold 40 scarves and hats at the Winter Festival, but it never told us exactly how many hats total and how many scarves total that they sold. So we leave it as "s+h=40" Next we have the price of the scarves and hats, not the numbers sold. Since the scarves cost $18 and the hats cost $14, we know that a certain amount of each equals $700. Since we don't know the exact number of each that were sold, we leave it at "18s+14h=700." Sorry if you got a bit lost.
5x + 260 = -8x + 650 I got 75 but it was wrong
-260
then
-5x
-13x+390
-390
/-13
=
Answer:
x=30
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
please help me thanks
Answer:
It is 61 degress an acute angle.
Step-by-step explanation:
Solve the inequality 4x-7<5
Answer:
x < 3
Step-by-step explanation:
Given
4x - 7 < 5 ( add 5 to both sides )
4x < 12 ( divide both sides by 4 )
x < 3
HELPP ME EMERGENCY
Six eggs weigh 240 grams. What is the constant of proportionality of
grams per egg?
Answer:
K=40
Step-by-step explanation:
240/6=40 grams and egg
check 6x40=240
Answer: K= 40
Step-by-step explanation: divide 240 by 6 :)
240/6=40
How do I get the fractional form for cos 4π/3?
Answer:
[tex] - \frac{1}{2} [/tex]
Step-by-step explanation:
cos
(
π
+
π
3
)
=
cos
π
⋅
cos
(
π
3
)
−
sin
π
⋅
sin
(
π
3
)
=
(
−
1
)
(
1
2
)
−
(
0
)
(
√
3
2
)
=
−
1
2
During geometry class, students are told that ΔTSR ≅ ΔUSV. Marcus states that ΔTSR is mapped to ΔUSV by performing a rotation about point S. Sam states that ΔTSR is mapped to ΔUSV by a reflection across the line that goes through point S. Determine if either student is correct.
Answer: Marcus is correct.
i got it right on Edge2020
Step-by-step explanation:
Transformation involves changing the position of a shape through translation, dilation, rotation and reflection.
Marcus's claim is correct.
The triangles are given as: ΔTSR and ΔUSV
By comparison, we can see that point S is on both triangles, and this point on both triangles corresponds.
So, to map ΔTSR to ΔUSV, then ΔTSR must be rotated about point S to ΔUSV or rotate ΔUSV about point S to ΔTSR.
Hence, Marcus is correct, and Sam is not.
Read more about transformation at:
https://brainly.com/question/4539110
3. Melanie collects coins from all over the world. She is reorganizing her collection into coins from Europe and coins from other parts of the world. After sorting the coins, she comes to the conclusion that six out of every ten of the coins in her collection come from Europe.
A. Write a ratio for the number of European coins to the total number of coins, the number of non-European coins to the total number of coins, and the number of European coins to the number of non-European coins
Answer:
Step-by-step explanation:
AIiwi
If you understand similar figures you will get this because I don't
Answer:
I think its 3 but im not sure
Step-by-step explanation:
2x-1 you would do the opposite so you would add 1 to both sides. That would cancel the -1. Which leaves you with 3x
can you help me
3 – 7f = -25, f = ?
Answer:
f = 4
Step-by-step explanation:
plz help me with this
Answer:
slope:3
y intercept:1
equation:y=3x+1
Step-by-step explanation:
-8-x=x - 4x
How do I solve this
Solve using substitution.
x − 4y = –14
3x + 8y = 18
ordered pair=?help
Answer:
(-2,3) if your doing substitution
(-2,3) for Elimination
Step-by-step explanation:
A kayak is marked down 25% at academy. If it’s regular cost was $550, what’s the sales price?
PLEASE BE CORRECT
Answer:
$412.50
Step-by-step explanation:
[tex]550(1 - .25) = 550(.75) = 412.50 \\ [/tex]
Solve this system of equations, then determine what y equals.
x + 5y= 7
2x + 4y = -4
Answer:
y = 3.
Step-by-step explanation:
x + 5y = 7
x = 7 - 5y
Substitute x for 7 - 5y in the second equation.
2 ( 7 - 5y ) + 4y = -4
14 - 10y + 4y = -4
14 - 6y = -4
6y = 14 + 4
6y = 18
y = 3.
Hope this helped!
Answer:
y = 3
Step-by-step explanation:
x + 5y = 7
Subtract 5y from both sides;
x = -5y + 7
Substitute x into the equation;
2x + 4y = -4
2(-5y + 7) + 4y = -4
Distribute;
-10y + 14 + 4y = -4
-6y + 14 = -4
Subtract 14 from both sides;
-6y = -18
Divide both sides by -6
y = 3
Substitute y;
x + 5y = 7
x + 5(3) = 7
x + 15 = 7
Subtract 15 from both sides;
x = -8
Taylor says ABCD and EFGH are congruent because he can map ABCD to EFGH by multiplying each side length by 1.5 and translating the result to coincide with EFGH. What is Taylor's error?
Answer:
The E came before H
Step-by-step explanation: