If you add Natalie's age and Fred's age, the result is 46. If you add Fred's age to 4 times Natalie's age, the result is 91. Write and solve a system of equations to find how old Fred and Natalie are.
Answer:
Fred = 31
Natalie = 15
Step-by-step explanation:
We have Natalie and Fred's whos age are unknown, we know that when added, their ages equal 46. While when multiplied with Natalie's age 4 times, their ages is 91.
Create two systems :
F = Fred
N = Natalie
F + N = 46
4N + F = 91
We can change the first equation to Natalie's age alone :
N = 46 - F
Now substitute this into the second equation :
4(46 - F) + F = 91
Distribute :
184 - 4F + F = 91
Subtract 184 from both sides :
-4F + F = -93
Add like terms :
-3F = -93
Divide -3 from both sides :
F = 31
Therefore, Fred is 31 years old. Now replace his age in the first equation :
31 + N = 46
46 - 31
15
Therefore, Natalie is 15 years old.
A hibernating animal lost 5 pounds.
Write a signed number to represent this weight change.
Answer:
-2
Step-by-step explanation:
The sign would be negative because the pounds were lost not gained
Can’t solve this question help plz?
A man covers 1000meters when he completes five rounds around a square field. what would be the length of the field?
If y varies inversely as x and y = 9 when x = 4, find y when x = 6.
Answer: x
=
6
Explanation:
the initial statement is
x
∝
1
y
to convert to an equation multiply by k the constant
of variation
⇒
x
=
k
×
1
y
=
k
y
to find k use the given condition
x
=
4
when
y
=
9
x
=
k
y
⇒
k
=
x
y
=
4
×
9
=
36
equation is
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
x
=
36
y
2
2
∣
∣
∣
−−−−−−−−−−−−
when
y
=
6
then
x
=
36
6
=
6
Step-by-step explanation:
Write a function role for the total cost.
One frozen yogurt store sells frozen yogurt for $3.00 per cup and $1.25 per topping. Write a linear equation to show the total cost of a cup of frozen yogurt. Then calculate the total price for one cup of frozen yogurt with 4 toppings.
Answer:
y=1.25x+3, $8.00
Step-by-step explanation:
3 is the variable. A cup of frozen yogurt will always be a set price of $3.00. The toppings are the variable, which will depend on how many the customer adds.
Therefore, the equation would be y=1.25x+3
x being the number of toppings added
If the customer orders one cup of ice cream with 4 toppings, the equation would look like:
y=(1.25*4)+3
y=(5)+3 = $8.00 for a four topping cup of frozen yogurt
50.7 is what percent of 32? Round to the nearest tenth.
Answer:
56.3%
Step-by-step explanation:
0.5625×100= 56.25%
round to the nearest tenth.. which is 56.3%
what is the answer to 6(3+9)
Answer:
6 x (3+9) add 3 and 9 = 12
6×12 = 72
Answer:
72
Step-by-step explanation:
3+9=12
12*6= 72
do everything in parenthesis first so to solve this you would do 3+9 which equals 12 then multiply 12 with 6 which gives you the answer 72 hope this helps have a good rest of your night :) ❤
What is the ratio of blue stars to red stars?
Answer:
red is 3 and blue is 6 so 3:6
Step-by-step explanation:
Pls someone answer pls
Answer:
x = 44
Step-by-step explanation:
44 goes into 2, 22 times. then 22 + 10 = 32
(this is about Write Expressions)
~~
Eric is 3 times older than his sister Alyssa. Eric is 15 years old. Create an equation to find out Alyssa's age
Answer:
the answer is five because 3 times 5 is 15
Step-by-step explanation:
Answer:
Equation : - three times a number is equal to 15
3x = 15
x = 15 ÷ 3
x = 5
Can someone explain or tell me the answers please I am stuck! Thank u :)
Step-by-step explanation:
If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator. To do this, you need to find the least common multiple (LCM) of the two denominators.
What is the solution to
-10 = 5(2x – 4)
Answer:
3=x
Step-by-step explanation:
multiply 5 times 2x and 4 which is 10x-20
then you have -10=10x-20
then add 20 to both aides and you'll have
30=10x then divide by 10 to get x alone
and you have
3=x
y=2x2+3 is this a linear or nonlinear function
Answer:
y=7
Step-by-step explanation:
2x2=4 +3 =7 y
7. At a baseball game Alex bought 5 hotdogs and a bag of chips for $8.50. Scott bought 2 hotdogs and 3 bags of chips for
$6. Each of the boys paid the same price for each hotdog and bag of chips. How much does a hotdog cost? How much
does a bag of chips cost?
S
Answer:
Step-by-step explanation:
5h + c = 8.50
2h + 3c = 6
Multiply first equation by -3, then add it to second equation.
-15h - 3c = -25.50
2h + 3c = 6
------------------------
-13h = -19.50
h = -19.50/(-13) = 1.5
c = 8.50-5h = 1'
hot dog costs $1.50
chips cost $1
Write the English phrase as an algebraic expression. Then, simplify the expression. Let x represent the number,
The difference between the product of three and a number and two times the number.
What is the algebraic expression?
(Do not simplify.)
Answer:
3x - 2x
Step-by-step explanation:
The difference - the subtraction symbol
The product of three and a number - 3 multiplied by x (basically says what's the solution to three times x)
Two times the number - 2 times x
An alarm rings 8 times in 5 seconds. What is the unit rate ,in rings per second?
What is the slope of the line?
Need help will give thanks and brainliest
Answer : y = 11x + 24
Ok!
Part A; 35 + 22 = 57 --- 22 ÷ 2 = 11 11 people every year
According to my calculations they got 11 more people every year because 22 is for 2 years so if you that by 2 you get 11.
Part B; 79 People :)
Sry if im not explaining very well lol plz mark brainlyest i need it!
Jackie earns 14% commission as a salesperson. She sold a sofa that costs $870. How much commission did Jackie earn?
Answer:
HE IS PORE THAT IS WHAT HE IS
Step-by-step explanation:
HE IS PORE THAT IS WHAT HE IS
Find the first four terms of the sequence given the rule: *image*
Answer:4,20,100,500
Step-by-step explanation: i just did it
Using the exchange rate £1 = $1.35, calculate how many £ are in $8.70. Give your answer
rounded to 2 dp.
Answer:
£6.4
Step-by-step explanation:
£1 = $1.35
To find out the amount of £ , we would simply divide $8.70 by 1.35.
$8.70 / $1.35 = £6.4 rounded to 2 s.f.
100+100+43+12+-21+43=?
Answer:
277
Step-by-step explanation:
Hope this helped!! :)
Stay safe and have a wonderful day/night!!!!!
Brainliest?!?!
Correct me if I'm wrong, thanks
Please do number 8 for me.
Answer:
u do 14 x 8 then + 78 then x = your answer
Step-by-step explanation:
sorry I dont have a calculator near me but just put that in!!!
One field that a farmer uses for his crops is 115 yards long and 50 yards wide. How long is the diagonal of the field to the nearest tenth of a yard?
A. 125.4 yards
B. 165 yards
C. 290.4 yards
D. 65 yards
Answer:
A) 125.4 yards
Step-by-step explanation:
the diagonal would represent the hypotenuse of a right triangle with legs equal to 115 and 50
115² + 50² = c²
c² = [tex]\sqrt{15725}[/tex] which is approx 125.4
Which equation represents a line that is perpendicular to line PQ?
10
U
-
.
- 10
-8
-6
-2
-60
10
2
4
on
8
-10
OA y = 3s - 2
OB. y = 3+ + 4
OC y = -5 -5
= -33 +6
o
D.
rewrite in a simpler equivalent form and solve
Given:
The equation is
[tex]\dfrac{3x}{7}+\dfrac{2}{7}=2[/tex]
To find:
The simpler equivalent form and solve the given equation.
Solution:
We have,
[tex]\dfrac{3x}{7}+\dfrac{2}{7}=2[/tex]
It can be written as
[tex]\dfrac{3x+2}{7}=2[/tex]
Multiply both sides by 7.
[tex]3x+2=14[/tex]
[tex]3x=14-2[/tex]
[tex]3x=12[/tex]
Divide both sides by 3.
[tex]x=\dfrac{12}{3}[/tex]
[tex]x=4[/tex]
Therefore, the simpler equivalent form of the given equation is [tex]3x+2=14[/tex] and the solution is x=4.
Alguien que me ayude a calcular la medida de un angulo central interno y externo de un heptagono { interno y externo]
Responder:
suma de ángulos interiores = 900 °
Suma de ángulos exteriores = 360 °
Explicación paso a paso:
Un heptágono es un polígono de 7 lados:
Para cualquier polígono con n lados:
El ángulo exterior del polígono suma 360 °
Por lo tanto, la medida de cada ángulo central de un heptágono es:
Suma de ángulos exteriores / número de lados
360 ° ÷ 7
= 51,43 °
El ángulo interior de un polígono se obtiene mediante la relación:
(n - 2) 180 °
Heptágono tiene 7 lados:
(7 - 2) 180 °
5 (180 °)
= 900 °
Por tanto, suma de ángulos interiores = 900 °
Suma de ángulos exteriores = 360 °
Can you help me please?
Answer:
yes
Step-by-step explanation:
you can use the vertical line test- for every line going up and down there should only be one point. if there is one and only one, it's a function. if there are more than one per line, then it is not a function.
Which type of triangle has side measures of 5 cm, 9 cm, and 12.7 cm and one angle measure of 128°?
A.
acute isosceles
B.
obtuse scalene
C.
obtuse isosceles
D.
acute scalene
This question is dealing with classification of triangles based on angles or on number of equal sides.
the triangle is called an Obtuse Scalene Triangle
Now, the classification in terms of angles are;
- Acute angle is when the angle measures between 0 and 90 degrees.
- Obtuse angle is when the angle is greater than 90 but less than 180 degrees.
- right angle is when the angle is exactly 90 degrees.
- Reflex angle is when the angle is greater than 180 but less than 360 degrees.
Now the classification in terms of equal sides;
- Isosceles triangle is one that has 2 equal sides.
- Equilateral triangle is one that has 3 equal sides.
- Scalene triangle is one that has no equal sides.
The lengths of the three sides of the triangle given are;
5 cm, 9 cm, and 12.7 cm
The three sides are not equal and from definition above it is called scalene triangle.
The angle given is 128° and from definition earlier, it is an obtuse angle.
In conclusion, the triangle is called an Obtuse Scalene Triangle
Read more at; brainly.com/question/8704415