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2 years ago

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The difference in age between Brita and her daughter Eva is 30 years. The sum or their ages is 118. How old is Eva?

1 answer:

seraphim [82]2 years ago

6 0

Answer: 44 years

Step-by-step explanation:

Let Brita's age be x and the daughter's age be y , then from the first statement :

$x - y = 30$

From the second statement :

$x + y = 118$

solving the resulting linear equation , add the two equations , we have

$2x = 148$

$x = 74$

substitute 74 into equation 1 to find the value of y

$74- y = 30$

$y = 74 - 30$

$y = 44$

Therefore :

Eva = 44 years

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The table shows transactions from five different bank accounts. Fill in the missing numbers. ( THE IMAGE ATTACHED PLEASE)

velikii [3]

Answer:

Part 1) $A=80$

Part 2) $B=-25$

Part 3) $C=-40$

Step-by-step explanation:

we know that

The old account balance plus the transaction amount is equal to the new account balance

The transaction amount can be a positive number (example a deposit) or a negative number (example a withdrawal)

Part 1) Find the value of A

$432+A=512$

solve for A

subtract 432 both sides

$A=512-432=80$

Part 2) Find the value of B

$75-100=B$

solve for B

$-25=B$

Rewrite

$B=-25$

Part 3) Find the value of C

$C+52=12$

solve for C

subtract 52 both sides

$C=12-52$

$C=-40$

4 0

3 years ago

Cassie bought a pair of loafers for $29.95. Tights were on sale for 3 pairs for $10.00. She gave the clerk $60.00. How much chan

monitta

Answer:

$20.05 is Cassie's change

Step-by-step explanation:

60.00-29.95=30.05

30.05-10=20.05

5 0

3 years ago

X and y are both bigger than 30. x and y have HCF 21 and LCM 1617. Find x and y.

Sunny_sXe [5.5K]

The values of x and y are 99 and 343

<h3>The HCF</h3>

The HCF of numbers is the highest common factors of the numbers

<h3>The LCM</h3>

The LCM of numbers is the lowest common multiple of the numbers

The HCF and the LCM are given as:

$HCF = 21$

$LCM = 1617$

Multiply the HCF and the LCM

$HCF \times LCM = 21 \times 1617$

$HCF \times LCM = 33957$

The product of the numbers x and y equals the product of the HCF and the LCM.

So, we have:

$x \times y = 33957$

<h3>Prime Factors</h3>

Express 33957 as a prime factor

$x \times y = 3^2 \times 7^3 \times 11$

Rewrite the equation as

$x \times y = 99 \times 7^3$

$x \times y = 99 \times 343$

By comparison:

$x = 99$

$y= 343$

Hence, the values of x and y are 99 and 343

Read more about HCF and LCM at:

brainly.com/question/420337

6 0

2 years ago

It will take Adam four hours to drive to Disney Park, and 2.5 times less time if driving 45 mph faster. What is the distance Ada

Mashcka [7]

<h2>Hello!</h2>

The answer is:

The distance to over by Adam to get to the park is 108 miles.

<h2>Why?</h2>

To solve the problem, we need to write two equations using he given information about the times and his speed.

So,

For the first equation we have: Travel to Disney Park

$time=4hours$

$Distance=v*4hours$

For the second equation we have: Travel back from Disnery Park

$time=4hours-2.5hours=1.5hours$

$Speed=v+45mph$

$Distance=(v+45mph)*1.5hours$

Then, if Adam covered the same distance going and coming back, we have:

$v*4hours=(v+45mph)*1.5hours$

$v*4hours=v*1.5hours+45mph*1.5hours$

$v*4hours-v*1.5hours=45mph*1.5hours$

$v*2.5hours=67.5miles$

$v=\frac{67.5miles}{2.5hours}=27\frac{miles}{hour}=27mph$

We have that the speed when he was going to Disney Park was 27 mph.

Now, to calculate the distance, we need to substitute the obtained speed in any of the two first equations.

Therefore, substituting the speed into the second equation, we have:

$Distance=(v+45mph)*1.5hours$

$Distance=(27mph+45mph)*1.5hours=72mph*1.5hours=108miles$

Hence, we have that the distance that Adam should cover to get to the park is 108 miles.

Havea nice day!

8 0

3 years ago

Joan is selling handmade bead necklaces at a local art fair. She paid $250 to reserve her booth. The cost of supplies for each n

Inga [223]

Y=250+2x is the amount she spends
y=12x is the amount she makes

If the amount she spent = the amount she makes then she break even

250+2x=12x
250=12x-2x
250=10x
So x = 250/10=25 necklaces she needs to sell to break even

Answer is 25 necklaces

3 0

3 years ago

Read 2 more answers